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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0901.3462
|
Yu. M. Zinoviev
|
Yu. M. Zinoviev
|
On massive spin 2 electromagnetic interactions
|
24 pages, no figures. Clarifications and references added. Version to
appear in Nucl. Phys. B
|
Nucl.Phys.B821:431-451,2009
|
10.1016/j.nuclphysb.2009.04.027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate electromagnetic interactions for massive spin 2
particles in (A)dS space at linear approximation using gauge invariant
description for such massive particles. We follow bottom-up approach, i.e. we
begin with the introduction of minimal interaction and then proceed by adding
non-minimal interactions with higher and higher number of derivatives together
with corresponding non-minimal corrections to gauge transformations until we
are able to restore gauge invariance broken by transition to gauge covariant
derivatives. We manage to construct a model that smoothly interpolates between
massless particle in (A)dS space and massive one in a flat Minkowski space.
Also we reproduce the same results in a frame-like formalism which can be more
suitable for generalizations on higher spins.
|
[
{
"created": "Thu, 22 Jan 2009 12:12:54 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 2009 13:35:37 GMT",
"version": "v2"
},
{
"created": "Thu, 14 May 2009 09:37:10 GMT",
"version": "v3"
}
] |
2009-09-28
|
[
[
"Zinoviev",
"Yu. M.",
""
]
] |
In this paper we investigate electromagnetic interactions for massive spin 2 particles in (A)dS space at linear approximation using gauge invariant description for such massive particles. We follow bottom-up approach, i.e. we begin with the introduction of minimal interaction and then proceed by adding non-minimal interactions with higher and higher number of derivatives together with corresponding non-minimal corrections to gauge transformations until we are able to restore gauge invariance broken by transition to gauge covariant derivatives. We manage to construct a model that smoothly interpolates between massless particle in (A)dS space and massive one in a flat Minkowski space. Also we reproduce the same results in a frame-like formalism which can be more suitable for generalizations on higher spins.
|
0809.4269
|
Klaus Bering
|
Igor A. Batalin (NBI) and Klaus Bering (NBI)
|
A Comparative Study of Laplacians and
Schroedinger-Lichnerowicz-Weitzenboeck Identities in Riemannian and
Antisymplectic Geometry
|
55 pages, LaTeX. v2: Subsection 3.10 expanded. v3: Reference added.
v4: Published version
|
J.Math.Phys.50:073504,2009
|
10.1063/1.3152575
| null |
hep-th math-ph math.MP math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce an antisymplectic Dirac operator and antisymplectic gamma
matrices. We explore similarities between, on one hand, the
Schroedinger-Lichnerowicz formula for spinor bundles in Riemannian spin
geometry, which contains a zeroth-order term proportional to the Levi-Civita
scalar curvature, and, on the other hand, the nilpotent, Grassmann-odd,
second-order \Delta operator in antisymplectic geometry, which in general has a
zeroth-order term proportional to the odd scalar curvature of an arbitrary
antisymplectic and torsionfree connection that is compatible with the measure
density. Finally, we discuss the close relationship with the two-loop scalar
curvature term in the quantum Hamiltonian for a particle in a curved Riemannian
space.
|
[
{
"created": "Thu, 25 Sep 2008 19:52:42 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Dec 2008 20:25:38 GMT",
"version": "v2"
},
{
"created": "Tue, 12 May 2009 12:59:19 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Jul 2009 19:17:46 GMT",
"version": "v4"
}
] |
2014-11-18
|
[
[
"Batalin",
"Igor A.",
"",
"NBI"
],
[
"Bering",
"Klaus",
"",
"NBI"
]
] |
We introduce an antisymplectic Dirac operator and antisymplectic gamma matrices. We explore similarities between, on one hand, the Schroedinger-Lichnerowicz formula for spinor bundles in Riemannian spin geometry, which contains a zeroth-order term proportional to the Levi-Civita scalar curvature, and, on the other hand, the nilpotent, Grassmann-odd, second-order \Delta operator in antisymplectic geometry, which in general has a zeroth-order term proportional to the odd scalar curvature of an arbitrary antisymplectic and torsionfree connection that is compatible with the measure density. Finally, we discuss the close relationship with the two-loop scalar curvature term in the quantum Hamiltonian for a particle in a curved Riemannian space.
|
2012.10243
|
Carlo Alberto Cremonini
|
C.A.Cremonini and P.A.Grassi
|
Self-Dual Forms in Supergeometry I: The Chiral Boson
| null | null |
10.1016/j.nuclphysb.2021.115596
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent results of A. Sen on quantum field theory models with self-dual field
strengths use string field theory as a starting point. In the present work, we
show that combining string field theory and supergeometry we can provide a
constructive method for all these models, for any superspace representation and
for any given background. The analysis is based on the new concept of
pseudoform, emerging in supergeometry, which opens a new page in quantum field
theory and, in particular, in supergravity. The present work deals with an
explicit example, the case of the chiral boson multiplet in d=2.
|
[
{
"created": "Fri, 18 Dec 2020 13:55:59 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 2021 14:21:49 GMT",
"version": "v2"
}
] |
2021-11-17
|
[
[
"Cremonini",
"C. A.",
""
],
[
"Grassi",
"P. A.",
""
]
] |
Recent results of A. Sen on quantum field theory models with self-dual field strengths use string field theory as a starting point. In the present work, we show that combining string field theory and supergeometry we can provide a constructive method for all these models, for any superspace representation and for any given background. The analysis is based on the new concept of pseudoform, emerging in supergeometry, which opens a new page in quantum field theory and, in particular, in supergravity. The present work deals with an explicit example, the case of the chiral boson multiplet in d=2.
|
1911.00194
|
Peter M. Lavrov
|
Peter M. Lavrov
|
RG and BV-formalism
|
13 pages, v2: minor improvements of the text, v3: two new Sections
added, Discussion improved, published version
|
Phys. Lett. B803 (2020) 135314
|
10.1016/j.physletb.2020.135314
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In present paper a quantization scheme proposed recently by Morris
(arXiv:1806.02206[hep-th]) is analyzed. This method is based on idea to combine
the renormalization group with the BV-formalism in an unique quantization
procedure. It is shown that the BV-formalism and the new method should be
considered as independent approaches to quantization of gauge systems both
provided by global supersymmetry.
|
[
{
"created": "Fri, 1 Nov 2019 03:50:27 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Dec 2019 17:17:25 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Feb 2020 16:46:09 GMT",
"version": "v3"
},
{
"created": "Thu, 20 Feb 2020 23:38:46 GMT",
"version": "v4"
}
] |
2020-02-24
|
[
[
"Lavrov",
"Peter M.",
""
]
] |
In present paper a quantization scheme proposed recently by Morris (arXiv:1806.02206[hep-th]) is analyzed. This method is based on idea to combine the renormalization group with the BV-formalism in an unique quantization procedure. It is shown that the BV-formalism and the new method should be considered as independent approaches to quantization of gauge systems both provided by global supersymmetry.
|
hep-th/0105303
|
Ahmed Jellal
|
Ahmed Jellal
|
Orbital Magnetism of Two-Dimension Noncommutative Confined System
|
22 pages, latex, clarifications and new references, subsection 5.4
added. Version to appear in J. Phys. A: Math. Gen
|
J.Phys.A34:10159-10178,2001
|
10.1088/0305-4470/34/47/319
|
Napoli DSF-NA- 15/2001; IC/2001/45
|
hep-th cond-mat math-ph math.MP
| null |
We study a system of spinless electrons moving in a two dimensional
noncommutative space subject to a perpendicular magnetic field $\vec B$ and
confined by a harmonic potential type ${1\over 2}mw_{0}r^2$. We look for the
orbital magnetism of the electrons in different regimes of temperature $T$,
magnetic field $\vec B$ and noncommutative parameter $\te$. We prove that the
degeneracy of Landau levels can be lifted by the $\te$-term appearing in the
electron energy spectrum at weak magnetic field. Using the {\it Berezin-Lieb}
inequalities for thermodynamical potential, it is shown that in the high
temperature limit, the system exibits a magnetic $\te$-dependent behaviour,
which is missing in the commutative case. Moreover, a correction to
susceptibility at low $T$ is observed. Using the {\it Fermi-Dirac} trace
formulas, a generalization of the thermodynamical potential, the average number
of electrons and the magnetization is obtained. There is a critical point where
the thermodynamical potential becomes infinite in both of two methods above. So
at this point we deal with the partition function by adopting another approach.
The standard results in the commutative case for this model can be recovered by
switching off the $\te$-parameter.
|
[
{
"created": "Wed, 30 May 2001 10:46:17 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Oct 2001 07:54:54 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Jellal",
"Ahmed",
""
]
] |
We study a system of spinless electrons moving in a two dimensional noncommutative space subject to a perpendicular magnetic field $\vec B$ and confined by a harmonic potential type ${1\over 2}mw_{0}r^2$. We look for the orbital magnetism of the electrons in different regimes of temperature $T$, magnetic field $\vec B$ and noncommutative parameter $\te$. We prove that the degeneracy of Landau levels can be lifted by the $\te$-term appearing in the electron energy spectrum at weak magnetic field. Using the {\it Berezin-Lieb} inequalities for thermodynamical potential, it is shown that in the high temperature limit, the system exibits a magnetic $\te$-dependent behaviour, which is missing in the commutative case. Moreover, a correction to susceptibility at low $T$ is observed. Using the {\it Fermi-Dirac} trace formulas, a generalization of the thermodynamical potential, the average number of electrons and the magnetization is obtained. There is a critical point where the thermodynamical potential becomes infinite in both of two methods above. So at this point we deal with the partition function by adopting another approach. The standard results in the commutative case for this model can be recovered by switching off the $\te$-parameter.
|
1412.3339
|
Rouven Frassek
|
Rouven Frassek
|
Q-operators, Yangian invariance and the quantum inverse scattering
method
|
212 pages, PhD thesis based on the author's publications
arXiv:1010.3699, arXiv:1012.6021, arXiv:1112.3600, arXiv:1207.4513 and
arXiv:1312.1693
| null | null | null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the integrable structures appearing in weakly coupled planar N=4
super Yang-Mills theory, we study Q-operators and Yangian invariants of
rational integrable spin chains. We review the quantum inverse scattering
method along with the Yang-Baxter equation which is the key relation in this
systematic approach to study integrable models. Our main interest concerns
rational integrable spin chains and lattice models. We recall the relation
among them and how they can be solved using Bethe ansatz methods incorporating
so-called Q-functions. In order to remind the reader how the Yangian emerges in
this context, an overview of its so-called RTT-realization is provided. The
main part is based on the author's original publications. Firstly, we construct
Q-operators whose eigenvalues yield the Q-functions for rational homogeneous
spin chains. The Q-operators are introduced as traces over certain monodromies
of R-operators. Our construction allows us to derive the hierarchy of commuting
Q-operators and the functional relations among them. We study how the
nearest-neighbor Hamiltonian and in principle also higher local charges can be
extracted from the Q-operators directly. Secondly, we formulate the Yangian
invariance condition, also studied in relation to scattering amplitudes of N=4
super Yang-Mills theory, in the RTT-realization. We find that Yangian
invariants can be interpreted as special eigenvectors of certain inhomogeneous
spin chains. This allows us to apply the algebraic Bethe ansatz and derive the
corresponding Bethe equations that are relevant to construct the invariants. We
examine the connection between the Yangian invariant spin chain eigenstates
whose components can be understood as partition functions of certain 2d lattice
models and tree-level scattering amplitudes of the four-dimensional gauge
theory. Finally, we conclude and discuss some future directions.
|
[
{
"created": "Wed, 10 Dec 2014 15:27:13 GMT",
"version": "v1"
}
] |
2014-12-11
|
[
[
"Frassek",
"Rouven",
""
]
] |
Inspired by the integrable structures appearing in weakly coupled planar N=4 super Yang-Mills theory, we study Q-operators and Yangian invariants of rational integrable spin chains. We review the quantum inverse scattering method along with the Yang-Baxter equation which is the key relation in this systematic approach to study integrable models. Our main interest concerns rational integrable spin chains and lattice models. We recall the relation among them and how they can be solved using Bethe ansatz methods incorporating so-called Q-functions. In order to remind the reader how the Yangian emerges in this context, an overview of its so-called RTT-realization is provided. The main part is based on the author's original publications. Firstly, we construct Q-operators whose eigenvalues yield the Q-functions for rational homogeneous spin chains. The Q-operators are introduced as traces over certain monodromies of R-operators. Our construction allows us to derive the hierarchy of commuting Q-operators and the functional relations among them. We study how the nearest-neighbor Hamiltonian and in principle also higher local charges can be extracted from the Q-operators directly. Secondly, we formulate the Yangian invariance condition, also studied in relation to scattering amplitudes of N=4 super Yang-Mills theory, in the RTT-realization. We find that Yangian invariants can be interpreted as special eigenvectors of certain inhomogeneous spin chains. This allows us to apply the algebraic Bethe ansatz and derive the corresponding Bethe equations that are relevant to construct the invariants. We examine the connection between the Yangian invariant spin chain eigenstates whose components can be understood as partition functions of certain 2d lattice models and tree-level scattering amplitudes of the four-dimensional gauge theory. Finally, we conclude and discuss some future directions.
|
hep-th/0209205
|
Ulf Gran
|
E. Bergshoeff, T. de Wit, U. Gran, R. Linares and D. Roest
|
(Non-)Abelian Gauged Supergravities in Nine Dimensions
|
35 pages, 2 figures, minor changes, published version
|
JHEP 0210 (2002) 061
|
10.1088/1126-6708/2002/10/061
| null |
hep-th
| null |
We construct five different two-parameter massive deformations of the unique
nine-dimensional N=2 supergravity. All of these deformations have a
higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged
supergravities. The gauge groups we encounter are SO(2), SO(1,1)^+, R, R^+ and
the two-dimensional non-Abelian Lie group A(1), which consists of scalings and
translations in one dimension.
We make a systematic search for half-supersymmetric domain walls and
non-supersymmetric de Sitter space solutions. Furthermore, we discuss in which
sense the supergravities we have constructed can be considered as low-energy
limits of compactified superstring theory.
|
[
{
"created": "Tue, 24 Sep 2002 16:54:44 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2003 14:41:30 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bergshoeff",
"E.",
""
],
[
"de Wit",
"T.",
""
],
[
"Gran",
"U.",
""
],
[
"Linares",
"R.",
""
],
[
"Roest",
"D.",
""
]
] |
We construct five different two-parameter massive deformations of the unique nine-dimensional N=2 supergravity. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities. The gauge groups we encounter are SO(2), SO(1,1)^+, R, R^+ and the two-dimensional non-Abelian Lie group A(1), which consists of scalings and translations in one dimension. We make a systematic search for half-supersymmetric domain walls and non-supersymmetric de Sitter space solutions. Furthermore, we discuss in which sense the supergravities we have constructed can be considered as low-energy limits of compactified superstring theory.
|
hep-th/9210027
| null |
C. Destri, P. Maraner and E. Onofri
|
On the definition of Quantum Free Particle on Curved Manifolds
|
8 p., phyzzx macropackage
|
NuovoCim.A107:237-241,1994
|
10.1007/BF02781555
| null |
hep-th
| null |
A selfconsistent definition of quantum free particle on a generic curved
manifold emerges naturally by restricting the dynamics to submanifolds of
co-dimension one.
PACS 0365 0240
|
[
{
"created": "Tue, 6 Oct 1992 11:12:28 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Destri",
"C.",
""
],
[
"Maraner",
"P.",
""
],
[
"Onofri",
"E.",
""
]
] |
A selfconsistent definition of quantum free particle on a generic curved manifold emerges naturally by restricting the dynamics to submanifolds of co-dimension one. PACS 0365 0240
|
hep-th/0103086
|
Bernard de Wit
|
Bernard de Wit
|
Electric-Magnetic Duality in Supergravity
|
19 pages, Latex, style file espcrc2.sty, invited talk given at Thirty
Years of Supersymmetry, October 13-15, 2000, Minneapolis, to be published in
Nucl. Phys. Proc. Suppl
|
Nucl.Phys.Proc.Suppl. 101 (2001) 154-171
|
10.1016/S0920-5632(01)01502-X
|
ITP-UU-01/08; SPIN-01/05
|
hep-th
| null |
I review electric-magnetic duality from the perspective of extended
supergravity theories in four spacetime dimensions
|
[
{
"created": "Mon, 12 Mar 2001 19:06:12 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2001 18:14:07 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"de Wit",
"Bernard",
""
]
] |
I review electric-magnetic duality from the perspective of extended supergravity theories in four spacetime dimensions
|
0903.5407
|
Dmitri Sorokin
|
Pietro Antonio Grassi, Dmitri Sorokin, Linus Wulff
|
Simplifying superstring and D-brane actions in AdS(4) x CP(3)
superbackground
|
1+36 pages, v2,v3 clarifications and references added
|
JHEP 0908:060,2009
|
10.1088/1126-6708/2009/08/060
|
NSF-KITP-09-38
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By making an appropriate choice for gauge fixing kappa-symmetry we obtain a
relatively simple form of the actions for a D=11 superparticle in AdS(4) x
S(7)/Z_k, and for a D0-brane, fundamental string and D2-branes in the AdS(4) x
CP(3) superbackground. They can be used to study various problems of string
theory and the AdS4/CFT3 correspondence, especially in regions of the theory
which are not reachable by the OSp(6|4)/U(3) x SO(1,3) supercoset sigma-model.
In particular, we present a simple form of the gauge-fixed superstring action
in AdS(4) x CP(3) and briefly discuss issues of its T-dualization.
|
[
{
"created": "Tue, 31 Mar 2009 09:01:53 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2009 16:46:45 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Sep 2009 10:03:01 GMT",
"version": "v3"
}
] |
2010-12-17
|
[
[
"Grassi",
"Pietro Antonio",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Wulff",
"Linus",
""
]
] |
By making an appropriate choice for gauge fixing kappa-symmetry we obtain a relatively simple form of the actions for a D=11 superparticle in AdS(4) x S(7)/Z_k, and for a D0-brane, fundamental string and D2-branes in the AdS(4) x CP(3) superbackground. They can be used to study various problems of string theory and the AdS4/CFT3 correspondence, especially in regions of the theory which are not reachable by the OSp(6|4)/U(3) x SO(1,3) supercoset sigma-model. In particular, we present a simple form of the gauge-fixed superstring action in AdS(4) x CP(3) and briefly discuss issues of its T-dualization.
|
1804.05517
|
Zi-qiang Zhang
|
Zi-qiang Zhang, Zhong-jie Luo, De-fu Hou
|
Drag force in a D-instanton background
|
6 pages, 2 figures
|
Nuclear Physics A 974(2018)1-8
|
10.1016/j.nuclphysa.2018.03.004
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the drag force and diffusion coefficient with respect to a moving
heavy quark in a D-instanton background, which corresponds to the Yang-Mills
theory in the deconfining, high-temperature phase. It is shown that the
presence of the D-instanton density tends to increase the drag force and
decrease the diffusion coefficient, reverse to the effects of the velocity and
the temperature. Moreover, the inclusion of the D-instanton density makes the
medium less viscous.
|
[
{
"created": "Mon, 16 Apr 2018 06:27:42 GMT",
"version": "v1"
}
] |
2018-04-17
|
[
[
"Zhang",
"Zi-qiang",
""
],
[
"Luo",
"Zhong-jie",
""
],
[
"Hou",
"De-fu",
""
]
] |
We study the drag force and diffusion coefficient with respect to a moving heavy quark in a D-instanton background, which corresponds to the Yang-Mills theory in the deconfining, high-temperature phase. It is shown that the presence of the D-instanton density tends to increase the drag force and decrease the diffusion coefficient, reverse to the effects of the velocity and the temperature. Moreover, the inclusion of the D-instanton density makes the medium less viscous.
|
2408.05004
|
Edvard Musaev
|
Kirill Gubarev and Edvard T. Musaev and Timophey Petrov
|
Polyvector deformations of Type IIB backgrounds
|
23 pages + Appendix
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a formalism of poly-vector deformations for Type IIB backgrounds
with a block diagonal metric and non-vanishing self-dual 5-form RR field
strength. Making use of the embedding of the Type IIB theory into the
$\mathrm{E}_{6(6)}$ exceptional field theory we derive explicit transformation
rules for four-vector deformations. We prove that the algebraic condition
following from the Type IIB realization of exceptional Drinfeld algebras is
sufficient for the transformation to generate a solution.
|
[
{
"created": "Fri, 9 Aug 2024 11:34:59 GMT",
"version": "v1"
}
] |
2024-08-12
|
[
[
"Gubarev",
"Kirill",
""
],
[
"Musaev",
"Edvard T.",
""
],
[
"Petrov",
"Timophey",
""
]
] |
We develop a formalism of poly-vector deformations for Type IIB backgrounds with a block diagonal metric and non-vanishing self-dual 5-form RR field strength. Making use of the embedding of the Type IIB theory into the $\mathrm{E}_{6(6)}$ exceptional field theory we derive explicit transformation rules for four-vector deformations. We prove that the algebraic condition following from the Type IIB realization of exceptional Drinfeld algebras is sufficient for the transformation to generate a solution.
|
1907.01904
|
Sourav Roychowdhury
|
Sourav Roychowdhury and Prasanta K. Tripathy
|
The non-Abelian T-dual of Klebanov-Witten Background and its Penrose
Limits
|
1+23 pages; v3; Major revision, Accepted to JHEP
|
JHEP 11(2019)125
|
10.1007/JHEP11(2019)125
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider both Abelian as well as non-Abelian T-duals of the
Klebanov-Witten background and inspect their various Penrose limits. We show
that these backgrounds admit pp-wave solutions in the neighbourhood of
appropriate null geodesics. We study the quantization of closed string
propagating on some of the resulting pp-wave backgrounds and comment on the
probable field theory duals.
|
[
{
"created": "Wed, 3 Jul 2019 12:49:52 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2019 11:01:39 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Nov 2019 13:19:47 GMT",
"version": "v3"
}
] |
2019-12-10
|
[
[
"Roychowdhury",
"Sourav",
""
],
[
"Tripathy",
"Prasanta K.",
""
]
] |
In this paper we consider both Abelian as well as non-Abelian T-duals of the Klebanov-Witten background and inspect their various Penrose limits. We show that these backgrounds admit pp-wave solutions in the neighbourhood of appropriate null geodesics. We study the quantization of closed string propagating on some of the resulting pp-wave backgrounds and comment on the probable field theory duals.
|
hep-th/0002243
|
Mark Windoloski
|
Mark Windoloski (UMass, Amherst)
|
A nonperturbative study of three-dimensional phi^4 theory
|
21 pages, 10 figures. v2: acknowledgement added. v3: table and
references added
| null | null | null |
hep-th hep-lat
| null |
The spherical field formalism---a nonperturbative approach to quantum field
theory---was recently introduced and applied to phi^4 theory in two dimensions.
The spherical field method reduces a quantum field theory to a
finite-dimensional quantum mechanical system by expanding field configurations
in terms of spherical partial wave modes. We extend the formalism to phi^4
theory in three dimensions and demonstrate the application of the method by
analyzing the phase structure of this theory.
|
[
{
"created": "Mon, 28 Feb 2000 21:40:06 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2000 15:35:35 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Mar 2000 21:01:30 GMT",
"version": "v3"
}
] |
2009-09-25
|
[
[
"Windoloski",
"Mark",
"",
"UMass, Amherst"
]
] |
The spherical field formalism---a nonperturbative approach to quantum field theory---was recently introduced and applied to phi^4 theory in two dimensions. The spherical field method reduces a quantum field theory to a finite-dimensional quantum mechanical system by expanding field configurations in terms of spherical partial wave modes. We extend the formalism to phi^4 theory in three dimensions and demonstrate the application of the method by analyzing the phase structure of this theory.
|
hep-th/0503178
|
Zygmunt Lalak
|
Zygmunt Lalak (Warsaw), Graham G. Ross and Subir Sarkar (Oxford)
|
Racetrack inflation and assisted moduli stabilisation
|
17 pages, 6 figures (Latex); Error in v.1 eliminated and improved
example of modular inflation presented
|
Nucl.Phys.B766:1-20,2007
|
10.1016/j.nuclphysb.2006.06.041
|
CERN-PH-TH/2004-259; OUTP-0502P
|
hep-th astro-ph hep-ph
| null |
We present a model of inflation based on a racetrack model without flux
stabilization. The initial conditions are set automatically through topological
inflation. This ensures that the dilaton is not swept to weak coupling through
either thermal effects or fast roll. Including the effect of non-dilaton fields
we find that moduli provide natural candidates for the inflaton. The resulting
potential generates slow-roll inflation without the need to fine tune
parameters. The energy scale of inflation must be near the GUT scale and the
scalar density perturbation generated has a spectrum consistent with WMAP data.
|
[
{
"created": "Wed, 23 Mar 2005 17:24:10 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2006 17:50:30 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lalak",
"Zygmunt",
"",
"Warsaw"
],
[
"Ross",
"Graham G.",
"",
"Oxford"
],
[
"Sarkar",
"Subir",
"",
"Oxford"
]
] |
We present a model of inflation based on a racetrack model without flux stabilization. The initial conditions are set automatically through topological inflation. This ensures that the dilaton is not swept to weak coupling through either thermal effects or fast roll. Including the effect of non-dilaton fields we find that moduli provide natural candidates for the inflaton. The resulting potential generates slow-roll inflation without the need to fine tune parameters. The energy scale of inflation must be near the GUT scale and the scalar density perturbation generated has a spectrum consistent with WMAP data.
|
1809.10294
|
Antonio Sciarappa
|
Yasuyuki Hatsuda, Antonio Sciarappa and Szabolcs Zakany
|
Exact quantization conditions for the elliptic Ruijsenaars-Schneider
model
|
50 pages + appendices, 13 tables
| null |
10.1007/JHEP11(2018)118
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose and test exact quantization conditions for the $N$-particle
quantum elliptic Ruijsenaars-Schneider integrable system, as well as its
Calogero-Moser limit, based on the conjectural correspondence to the
five-dimensional $\mathcal{N} = 1$ $SU(N)$ gauge theory in the
Nekrasov-Shatashvili limit. We discuss two natural sets of quantization
conditions, related by the electro-magnetic duality, and the importance of
non-perturbative corrections in the Planck constant. We also comment on the
eigenfunction problem, by reinterpreting the Separation of Variables approach
in gauge theory terms.
|
[
{
"created": "Thu, 27 Sep 2018 01:16:16 GMT",
"version": "v1"
}
] |
2018-12-05
|
[
[
"Hatsuda",
"Yasuyuki",
""
],
[
"Sciarappa",
"Antonio",
""
],
[
"Zakany",
"Szabolcs",
""
]
] |
We propose and test exact quantization conditions for the $N$-particle quantum elliptic Ruijsenaars-Schneider integrable system, as well as its Calogero-Moser limit, based on the conjectural correspondence to the five-dimensional $\mathcal{N} = 1$ $SU(N)$ gauge theory in the Nekrasov-Shatashvili limit. We discuss two natural sets of quantization conditions, related by the electro-magnetic duality, and the importance of non-perturbative corrections in the Planck constant. We also comment on the eigenfunction problem, by reinterpreting the Separation of Variables approach in gauge theory terms.
|
0910.4630
|
Matteo Beccaria
|
Matteo Beccaria and Guido Macorini
|
Reciprocity and integrability in the sl(2) sector of N=4 SYM
|
27 pages, improved bibliography
|
JHEP 1001:031,2010
|
10.1007/JHEP01(2010)031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the higher conserved charges of type IIB superstring on AdS5 x S5
from the perspective of a recently discovered generalized Gribov-Lipatov
reciprocity. We provide several evidences that reciprocity holds for all the
higher charges and not only for the energy. This is discussed in the simple
case of twist L=2, and 3 operators in the sl(2) subsector at (a) multi-loop
level in weak coupling, (b) classical level at strong coupling for the dual
folded string.
|
[
{
"created": "Sat, 24 Oct 2009 07:49:37 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2009 09:22:54 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Oct 2009 10:33:05 GMT",
"version": "v3"
}
] |
2010-02-09
|
[
[
"Beccaria",
"Matteo",
""
],
[
"Macorini",
"Guido",
""
]
] |
We analyze the higher conserved charges of type IIB superstring on AdS5 x S5 from the perspective of a recently discovered generalized Gribov-Lipatov reciprocity. We provide several evidences that reciprocity holds for all the higher charges and not only for the energy. This is discussed in the simple case of twist L=2, and 3 operators in the sl(2) subsector at (a) multi-loop level in weak coupling, (b) classical level at strong coupling for the dual folded string.
|
1105.6323
|
Jianxin Lu
|
J. X. Lu, Shibaji Roy and Zhiguang Xiao
|
The enriched phase structure of black branes in canonical ensemble
|
18 pages, 4 figures, 1 table, the expanded version with new title and
abstract, to appear in Nucl. Phys. B
| null |
10.1016/j.nuclphysb.2011.10.002
|
USTC-ICTS-11-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is found that a necessary completion of phase structure of D-dimensional
charged black p-brane ($p > 0$) in a cavity requires two additional
thermodynamical phases, the so-called "bubble of nothing" and/or the extremal
brane, in canonical ensemble. This finding resolves the puzzle about the
missing phases which are needed for the underlying phase diagram when $\tilde d
= D - p - 3 \leq 2$ and gives a new (bubble) phase which can become globally
stable when $\tilde d > 2$. An analog of Hawking-Page transition is also found
among other new phase transitions, giving a complete phase structure in this
setup.
|
[
{
"created": "Tue, 31 May 2011 16:00:16 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2011 05:55:27 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Lu",
"J. X.",
""
],
[
"Roy",
"Shibaji",
""
],
[
"Xiao",
"Zhiguang",
""
]
] |
It is found that a necessary completion of phase structure of D-dimensional charged black p-brane ($p > 0$) in a cavity requires two additional thermodynamical phases, the so-called "bubble of nothing" and/or the extremal brane, in canonical ensemble. This finding resolves the puzzle about the missing phases which are needed for the underlying phase diagram when $\tilde d = D - p - 3 \leq 2$ and gives a new (bubble) phase which can become globally stable when $\tilde d > 2$. An analog of Hawking-Page transition is also found among other new phase transitions, giving a complete phase structure in this setup.
|
2102.02443
|
Mario Martone
|
Mario Martone
|
Testing our understanding of SCFTs: a catalogue of rank-2
$\mathcal{N}$=2 theories in four dimensions
|
Correcting a few tables and Hasse diagrams, few references added
| null |
10.1007/JHEP07(2022)123
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we begin mapping out the space of rank-2 $\mathcal{N}=2$
superconformal field theories (SCFTs) in four dimensions. This represents an
ideal set of theories which can be potentially classified using purely quantum
field-theoretic tools, thus providing a precious case study to probe the
completeness of the current understanding of SCFTs, primarily derived from
string theory constructions. Here, we collect and systematize a large amount of
field theoretic data characterizing each theory. We also provide a detailed
description of each case and determine the theories' Coulomb, Higgs and Mixed
branch stratification. The theories naturally organize themselves into series
connected by RG flows but which have gaps suggesting that our current
understanding is not complete.
|
[
{
"created": "Thu, 4 Feb 2021 06:57:04 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jun 2021 12:03:58 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Oct 2021 02:04:37 GMT",
"version": "v3"
}
] |
2022-08-10
|
[
[
"Martone",
"Mario",
""
]
] |
In this paper we begin mapping out the space of rank-2 $\mathcal{N}=2$ superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of theories which can be potentially classified using purely quantum field-theoretic tools, thus providing a precious case study to probe the completeness of the current understanding of SCFTs, primarily derived from string theory constructions. Here, we collect and systematize a large amount of field theoretic data characterizing each theory. We also provide a detailed description of each case and determine the theories' Coulomb, Higgs and Mixed branch stratification. The theories naturally organize themselves into series connected by RG flows but which have gaps suggesting that our current understanding is not complete.
|
hep-th/9606127
| null |
V. V. Sreedhar
|
A Class of Quantum Integrable Models Associated with the Infra-red Limit
of Massive Chern-Simons Theory
|
Plain TeX File, 23 Pages
|
Annals Phys. 253 (1997) 219-236
|
10.1006/aphy.1997.5619
| null |
hep-th
| null |
We study the infra-red limit of non-abelian Chern-Simons gauge theory
perturbed by a non-topological, albeit gauge invariant, mass term. It is shown
that, in this limit, we may construct an infinite class of integrable quantum
mechanical models which, for the case of SU(2) group, are labelled by the
angular momentum eigenvalue. The first non-trivial example in this class is
obtained for the triplet representation and it physically describes the gauge
invariant coupling of a non-abelian Chern-Simons particle with a particle
moving on $S^3$ - the SU(2) group manifold. In addition to this, the model has
a fascinating resemblance to the Landau problem and may be regarded as a
non-abelian and a non-linear generalisation of the same defined on the
three-sphere with the uniform magnetic field replaced by an angular momentum
field. We explicitly solve for some eigenstates of this model in a closed form
in terms of some generalised orthogonal polynomials. In the process, we unravel
some startling connections with Anderson's chain models which are important in
the study of disordered systems in condensed matter physics. We also sketch a
method which allows us, in principle, to find the energy eigenvalues
corresponding to the above eigenstates of the theory if the Lyapunov exponents
of the transfer matrix of the infinite chain model involved are known.
|
[
{
"created": "Thu, 20 Jun 1996 13:05:13 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Sreedhar",
"V. V.",
""
]
] |
We study the infra-red limit of non-abelian Chern-Simons gauge theory perturbed by a non-topological, albeit gauge invariant, mass term. It is shown that, in this limit, we may construct an infinite class of integrable quantum mechanical models which, for the case of SU(2) group, are labelled by the angular momentum eigenvalue. The first non-trivial example in this class is obtained for the triplet representation and it physically describes the gauge invariant coupling of a non-abelian Chern-Simons particle with a particle moving on $S^3$ - the SU(2) group manifold. In addition to this, the model has a fascinating resemblance to the Landau problem and may be regarded as a non-abelian and a non-linear generalisation of the same defined on the three-sphere with the uniform magnetic field replaced by an angular momentum field. We explicitly solve for some eigenstates of this model in a closed form in terms of some generalised orthogonal polynomials. In the process, we unravel some startling connections with Anderson's chain models which are important in the study of disordered systems in condensed matter physics. We also sketch a method which allows us, in principle, to find the energy eigenvalues corresponding to the above eigenstates of the theory if the Lyapunov exponents of the transfer matrix of the infinite chain model involved are known.
|
hep-th/9806113
|
Lee Taejin
|
Taejin Lee (Kangwon National University and APCTP)
|
The Entropy of the BTZ Black Hole and AdS/CFT Correspondence
|
20 Pages, Revtex
| null | null |
APCTP/98-15
|
hep-th
| null |
We construct an action, which governs the dynamics of the
Ba\~nados-Teitelboim-Zanelli (BTZ) black hole and perform the canonical
quantization. The quantum action is given by a $SL(2,R)$ Wess-Zumino-Witten
model on the boundary coupled to the classical anti-de Sitter background,
representing a massless BTZ black hole. The coupling, determined by a
one-cocyle condition, is found to give dominant contribution to the central
charge of Virasoro algebra. The entropy of the BTZ black hole is discussed from
the point view of the AdS/CFT correspondence and an explanation is given to the
puzzle of black hole entropy in the BTZ case. The BTZ black hole is a quantum
object and the BTZ black hole with finite mass should be considered as a
quantum excitation of the massless one.
|
[
{
"created": "Mon, 15 Jun 1998 06:55:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lee",
"Taejin",
"",
"Kangwon National University and APCTP"
]
] |
We construct an action, which governs the dynamics of the Ba\~nados-Teitelboim-Zanelli (BTZ) black hole and perform the canonical quantization. The quantum action is given by a $SL(2,R)$ Wess-Zumino-Witten model on the boundary coupled to the classical anti-de Sitter background, representing a massless BTZ black hole. The coupling, determined by a one-cocyle condition, is found to give dominant contribution to the central charge of Virasoro algebra. The entropy of the BTZ black hole is discussed from the point view of the AdS/CFT correspondence and an explanation is given to the puzzle of black hole entropy in the BTZ case. The BTZ black hole is a quantum object and the BTZ black hole with finite mass should be considered as a quantum excitation of the massless one.
|
1704.08351
|
Luca Pontiggia Mr
|
Yang-Hui He, Vishnu Jejjala, Luca Pontiggia, Yan Xiao, Da Zhou
|
Flatness of Minima in Random Inflationary Landscapes
|
33 pages, 12 figures, 1 table, LaTeX, v3: matching version appearing
in publication
|
International Journal of Modern Physics A Vol. 34 (2019) 1950084
|
10.1142/S0217751X19500842
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the likelihood which relative minima of random polynomial potentials
support the slow-roll conditions for inflation. Consistent with
renormalizability and boundedness, the coefficients that appear in the
potential are chosen to be order one with respect to the energy scale at which
inflation transpires. Investigation of the single field case illustrates a
window in which the potentials satisfy the slow-roll conditions. When there are
two scalar fields, we find that the probability depends on the choice of
distribution for the coefficients. A uniform distribution yields a $0.05\%$
probability of finding a suitable minimum in the random potential whereas a
maximum entropy distribution yields a $0.1\%$ probability.
|
[
{
"created": "Wed, 26 Apr 2017 21:06:32 GMT",
"version": "v1"
},
{
"created": "Sun, 7 May 2017 17:25:47 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Jul 2019 21:21:35 GMT",
"version": "v3"
}
] |
2019-07-09
|
[
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Pontiggia",
"Luca",
""
],
[
"Xiao",
"Yan",
""
],
[
"Zhou",
"Da",
""
]
] |
We study the likelihood which relative minima of random polynomial potentials support the slow-roll conditions for inflation. Consistent with renormalizability and boundedness, the coefficients that appear in the potential are chosen to be order one with respect to the energy scale at which inflation transpires. Investigation of the single field case illustrates a window in which the potentials satisfy the slow-roll conditions. When there are two scalar fields, we find that the probability depends on the choice of distribution for the coefficients. A uniform distribution yields a $0.05\%$ probability of finding a suitable minimum in the random potential whereas a maximum entropy distribution yields a $0.1\%$ probability.
|
2012.06345
|
Yuk Ting Albert Law
|
Y. T. Albert Law
|
A Compendium of Sphere Path Integrals
|
54 pages; published version
| null |
10.1007/JHEP12(2021)213
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the manifestly covariant and local 1-loop path integrals on
$S^{d+1}$ for general massive, shift-symmetric and (partially) massless totally
symmetric tensor fields of arbitrary spin $s\geq 0$ in any dimensions $d\geq
2$. After reviewing the cases of massless fields with spin $s=1,2$, we provide
a detailed derivation for path integrals of massless fields of arbitrary
integer spins $s\geq 1$. Following the standard procedure of Wick-rotating the
negative conformal modes, we find a higher spin analog of Polchinski's phase
for any integer spin $s\geq 2$. The derivations for low-spin ($s=0,1,2$)
massive, shift-symmetric and partially massless fields are also carried out
explicitly. Finally, we provide general prescriptions for general massive and
shift-symmetric fields of arbitrary integer spins and partially massless fields
of arbitrary integer spins and depths.
|
[
{
"created": "Thu, 10 Dec 2020 03:38:19 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Aug 2021 02:46:05 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Jan 2022 22:43:19 GMT",
"version": "v3"
}
] |
2022-10-11
|
[
[
"Law",
"Y. T. Albert",
""
]
] |
We study the manifestly covariant and local 1-loop path integrals on $S^{d+1}$ for general massive, shift-symmetric and (partially) massless totally symmetric tensor fields of arbitrary spin $s\geq 0$ in any dimensions $d\geq 2$. After reviewing the cases of massless fields with spin $s=1,2$, we provide a detailed derivation for path integrals of massless fields of arbitrary integer spins $s\geq 1$. Following the standard procedure of Wick-rotating the negative conformal modes, we find a higher spin analog of Polchinski's phase for any integer spin $s\geq 2$. The derivations for low-spin ($s=0,1,2$) massive, shift-symmetric and partially massless fields are also carried out explicitly. Finally, we provide general prescriptions for general massive and shift-symmetric fields of arbitrary integer spins and partially massless fields of arbitrary integer spins and depths.
|
hep-th/0201028
|
Shamit Kachru
|
Shamit Kachru, Michael Schulz and Sandip Trivedi
|
Moduli Stabilization from Fluxes in a Simple IIB Orientifold
|
49 pages, harvmac big; v2, corrected some typos
|
JHEP 0310:007,2003
|
10.1088/1126-6708/2003/10/007
|
SU-ITP-01/49, SLAC-PUB-9066, TIFR-TH/01-51
|
hep-th
| null |
We study novel type IIB compactifications on the T^6/Z_2 orientifold. This
geometry arises in the T-dual description of Type I theory on T^6, and one
normally introduces 16 space-filling D3-branes to cancel the RR tadpoles. Here,
we cancel the RR tadpoles either partially or fully by turning on three-form
flux in the compact geometry. The resulting (super)potential for moduli is
calculable. We demonstrate that one can find many examples of N=1
supersymmetric vacua with greatly reduced numbers of moduli in this system. A
few examples with N>1 supersymmetry or complete supersymmetry breaking are also
discussed.
|
[
{
"created": "Sat, 5 Jan 2002 08:21:13 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2002 23:38:12 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Kachru",
"Shamit",
""
],
[
"Schulz",
"Michael",
""
],
[
"Trivedi",
"Sandip",
""
]
] |
We study novel type IIB compactifications on the T^6/Z_2 orientifold. This geometry arises in the T-dual description of Type I theory on T^6, and one normally introduces 16 space-filling D3-branes to cancel the RR tadpoles. Here, we cancel the RR tadpoles either partially or fully by turning on three-form flux in the compact geometry. The resulting (super)potential for moduli is calculable. We demonstrate that one can find many examples of N=1 supersymmetric vacua with greatly reduced numbers of moduli in this system. A few examples with N>1 supersymmetry or complete supersymmetry breaking are also discussed.
|
hep-th/0003076
|
Csaba Csaki
|
Csaba Csaki, Joshua Erlich, Timothy J. Hollowood and John Terning
|
Holographic RG and Cosmology in Theories with Quasi-Localized Gravity
|
19 pages, LaTeX, 2 figures, requires JHEP.cls, significant changes:
effects of induced boundary operators included
|
Phys.Rev.D63:065019,2001
|
10.1103/PhysRevD.63.065019
|
HUTP-00/A008
|
hep-th astro-ph gr-qc hep-ph
| null |
We study the long distance behaviour of brane theories with quasi-localized
gravity. The 5D effective theory at large scales follows from a holographic
renormalization group flow. As intuitively expected, the graviton is
effectively four dimensional at intermediate scales and becomes five
dimensional at large scales. However in the holographic effective theory the
essentially 4D radion dominates at long distances and gives rise to scalar
anti-gravity. The holographic description shows that at large distances the GRS
model is equivalent to the model recently proposed by Dvali, Gabadadze and
Porrati (DGP), where a tensionless brane is embedded into 5D Minkowski space,
with an additional induced 4D Einstein-Hilbert term on the brane. In the
holographic description the radion of the GRS model is automatically localized
on the tensionless brane, and provides the ghost-like field necessary to cancel
the extra graviton polarization of the DGP model. Thus, there is a holographic
duality between these theories. This analysis provides physical insight into
how the GRS model works at intermediate scales; in particular it sheds light on
the size of the width of the graviton resonance, and also demonstrates how the
holographic RG can be used as a practical tool for calculations.
|
[
{
"created": "Thu, 9 Mar 2000 23:51:50 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Mar 2000 22:28:58 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Aug 2000 21:22:37 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Csaki",
"Csaba",
""
],
[
"Erlich",
"Joshua",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Terning",
"John",
""
]
] |
We study the long distance behaviour of brane theories with quasi-localized gravity. The 5D effective theory at large scales follows from a holographic renormalization group flow. As intuitively expected, the graviton is effectively four dimensional at intermediate scales and becomes five dimensional at large scales. However in the holographic effective theory the essentially 4D radion dominates at long distances and gives rise to scalar anti-gravity. The holographic description shows that at large distances the GRS model is equivalent to the model recently proposed by Dvali, Gabadadze and Porrati (DGP), where a tensionless brane is embedded into 5D Minkowski space, with an additional induced 4D Einstein-Hilbert term on the brane. In the holographic description the radion of the GRS model is automatically localized on the tensionless brane, and provides the ghost-like field necessary to cancel the extra graviton polarization of the DGP model. Thus, there is a holographic duality between these theories. This analysis provides physical insight into how the GRS model works at intermediate scales; in particular it sheds light on the size of the width of the graviton resonance, and also demonstrates how the holographic RG can be used as a practical tool for calculations.
|
1511.01147
|
Tom Banks
|
Tom Banks
|
Current Algebra on the Conformal Boundary and the Variables of Quantum
Gravity
|
21 pages, LaTeX2e
| null | null |
RUNHETC-2015-27 RUNHETC 27/15, SCIPP 15/31
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I argue that scattering theory for massless particles in Minkowski space
should be reformulated as a mapping between past and future representations of
an algebra of densities on the conformal boundary. These densities are best
thought of as living on the momentum space light cone dual to null infinity,
which describes the simultaneous eigenstates of the BMS generators. The
currents describe the flow of other quantum numbers through the holographic
screen at infinity. They are operator valued measures on the momentum light
cone, with non-zero support at $P = 0$, which is necessary to describe finite
flows of total momentum, with zero energy-momentum density, on the asymptotic
holographic screen. Jet states, the closest approximation to the conventional
notion of asymptotic particle state, have finite momentum flowing out through
spherical caps of finite opening angle, with the zero momentum currents
vanishing in annuli surrounding these caps. Although these notions are valid
both in field theory and quantum gravity, I'll argue that they form the basis
for understanding the holographic/covariant entropy principle in the latter
framework, where the densities form a complete set of operators. The variables
on a finite area holographic screen are restrictions of those at infinity. The
restriction is implemented by a cutoff on the Euclidean Dirac spectrum on the
screen, which is a generalized UV/IR correspondence.
|
[
{
"created": "Tue, 3 Nov 2015 22:33:44 GMT",
"version": "v1"
}
] |
2015-11-05
|
[
[
"Banks",
"Tom",
""
]
] |
I argue that scattering theory for massless particles in Minkowski space should be reformulated as a mapping between past and future representations of an algebra of densities on the conformal boundary. These densities are best thought of as living on the momentum space light cone dual to null infinity, which describes the simultaneous eigenstates of the BMS generators. The currents describe the flow of other quantum numbers through the holographic screen at infinity. They are operator valued measures on the momentum light cone, with non-zero support at $P = 0$, which is necessary to describe finite flows of total momentum, with zero energy-momentum density, on the asymptotic holographic screen. Jet states, the closest approximation to the conventional notion of asymptotic particle state, have finite momentum flowing out through spherical caps of finite opening angle, with the zero momentum currents vanishing in annuli surrounding these caps. Although these notions are valid both in field theory and quantum gravity, I'll argue that they form the basis for understanding the holographic/covariant entropy principle in the latter framework, where the densities form a complete set of operators. The variables on a finite area holographic screen are restrictions of those at infinity. The restriction is implemented by a cutoff on the Euclidean Dirac spectrum on the screen, which is a generalized UV/IR correspondence.
|
1205.6513
|
David Ridout
|
Thomas Creutzig and David Ridout
|
Modular Data and Verlinde Formulae for Fractional Level WZW Models I
|
27 pages, 2 figures. v2: corrected a typo or two
| null |
10.1016/j.nuclphysb.2012.07.018
| null |
hep-th math-ph math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The modular properties of fractional level affine sl(2)-theories and, in
particular, the application of the Verlinde formula, have a long and checkered
history in conformal field theory. Recent advances in logarithmic conformal
field theory have led to the realisation that problems with fractional level
models stem from trying to build the theory with an insufficiently rich
category of representations. In particular, the appearance of negative fusion
coefficients for admissible highest weight representations is now completely
understood. Here, the modular story for certain fractional level theories is
completed. Modular transformations are derived for the complete set of
admissible irreducible representations when the level is k=-1/2 or k=-4/3. The
S-matrix data and Verlinde formula are then checked against the known fusion
rules with complete agreement. Finally, an infinite set of modular invariant
partition functions is constructed in each case.
|
[
{
"created": "Tue, 29 May 2012 22:41:31 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2012 03:42:14 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Creutzig",
"Thomas",
""
],
[
"Ridout",
"David",
""
]
] |
The modular properties of fractional level affine sl(2)-theories and, in particular, the application of the Verlinde formula, have a long and checkered history in conformal field theory. Recent advances in logarithmic conformal field theory have led to the realisation that problems with fractional level models stem from trying to build the theory with an insufficiently rich category of representations. In particular, the appearance of negative fusion coefficients for admissible highest weight representations is now completely understood. Here, the modular story for certain fractional level theories is completed. Modular transformations are derived for the complete set of admissible irreducible representations when the level is k=-1/2 or k=-4/3. The S-matrix data and Verlinde formula are then checked against the known fusion rules with complete agreement. Finally, an infinite set of modular invariant partition functions is constructed in each case.
|
1905.06956
|
Lars Aalsma
|
Lars Aalsma, Alex Cole, Gary Shiu
|
Weak Gravity Conjecture, Black Hole Entropy, and Modular Invariance
|
20 pages, 2 figures. v2: added references, matches published version.
v3: updated footnote 4
|
JHEP08(2019)022
|
10.1007/JHEP08(2019)022
|
MAD-TH-19-03
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent literature, it has been argued that a mild form of the Weak Gravity
Conjecture (WGC) is satisfied by wide classes of effective field theories in
which higher-derivative corrections can be shown to shift the charge-to-mass
ratios of extremal black holes to larger values. However, this mild form does
not directly constrain low-energy physics because the black holes satisfying
the WGC have masses above the cutoff of the effective theory. In this note, we
point out that in string theory modular invariance can connect a light
superextremal state to heavy superextremal states; the latter collapse into
black holes at small string coupling. In the context of heterotic string
theory, we show that these states are black holes that have $\alpha'$-exact
charge-to-mass ratios exceeding the classical extremality bound. This suggests
that modular invariance of the string partition function can be used to relate
the existence of a light superextremal particle to the positive shift in
charge-to-mass ratio of extremal black holes.
|
[
{
"created": "Thu, 16 May 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2019 07:59:02 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Sep 2019 16:29:23 GMT",
"version": "v3"
}
] |
2019-09-06
|
[
[
"Aalsma",
"Lars",
""
],
[
"Cole",
"Alex",
""
],
[
"Shiu",
"Gary",
""
]
] |
In recent literature, it has been argued that a mild form of the Weak Gravity Conjecture (WGC) is satisfied by wide classes of effective field theories in which higher-derivative corrections can be shown to shift the charge-to-mass ratios of extremal black holes to larger values. However, this mild form does not directly constrain low-energy physics because the black holes satisfying the WGC have masses above the cutoff of the effective theory. In this note, we point out that in string theory modular invariance can connect a light superextremal state to heavy superextremal states; the latter collapse into black holes at small string coupling. In the context of heterotic string theory, we show that these states are black holes that have $\alpha'$-exact charge-to-mass ratios exceeding the classical extremality bound. This suggests that modular invariance of the string partition function can be used to relate the existence of a light superextremal particle to the positive shift in charge-to-mass ratio of extremal black holes.
|
hep-th/0108207
|
Dongsu Bak
|
Dongsu Bak and Sang-Woo Kim
|
Junctions of Supersymmetric Tubes
|
20 pages, 4 figures, refrences added and small corrections
|
Nucl.Phys. B622 (2002) 95-114
|
10.1016/S0550-3213(01)00601-0
|
UOSTP-01105
|
hep-th
| null |
We begin by reviewing the noncommutative supersymmetric tubular
configurations in the matrix theory. We identify the worldvolume gauge fields,
the charges and the moment of R-R charges carried by the tube. We also study
the fluctuations around many tubes and tube-D0 systems. Based on the
supersymmetric tubes, we have constructed more general configurations that
approach supersymmetric tubes asymptotically. These include a bend with angle
and a junction that connects two tubes to one. The junction may be interpreted
as a finite-energy domain wall that interpolates U(1) and U(2) worldvolume
gauge theories. We also construct a tube along which the noncommutativity scale
changes. Relying upon these basic units of operations, one may build physical
configurations corresponding to any shape of Riemann surfaces of arbitrary
topology. Variations of the noncommutativity scale are allowed over the Riemann
surfaces. Particularly simple such configurations are Y-shaped junctions.
|
[
{
"created": "Tue, 28 Aug 2001 01:59:25 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Sep 2001 11:19:36 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Sang-Woo",
""
]
] |
We begin by reviewing the noncommutative supersymmetric tubular configurations in the matrix theory. We identify the worldvolume gauge fields, the charges and the moment of R-R charges carried by the tube. We also study the fluctuations around many tubes and tube-D0 systems. Based on the supersymmetric tubes, we have constructed more general configurations that approach supersymmetric tubes asymptotically. These include a bend with angle and a junction that connects two tubes to one. The junction may be interpreted as a finite-energy domain wall that interpolates U(1) and U(2) worldvolume gauge theories. We also construct a tube along which the noncommutativity scale changes. Relying upon these basic units of operations, one may build physical configurations corresponding to any shape of Riemann surfaces of arbitrary topology. Variations of the noncommutativity scale are allowed over the Riemann surfaces. Particularly simple such configurations are Y-shaped junctions.
|
0911.4726
|
Sungjay Lee
|
Sungjay Lee, Piljin Yi
|
A Study of Wall-Crossing: Flavored Kinks in D=2 QED
|
47 pages, 5 figures; typos fixed; references added
| null |
10.1007/JHEP03(2010)055
|
KIAS-P09052
|
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
We study spectrum of D=2 N=(2,2) QED with N+1 massive charged chiral
multiplets, with care given to precise supermultiplet countings. In the
infrared the theory flows to CP^N model with twisted masses, where we construct
generic flavored kink solitons for the large mass regime, and study their
quantum degeneracies. These kinks are qualitatively different and far more
numerous than those of small mass regime, with features reminiscent of
multi-pronged (p,q) string web, complete with the wall-crossing behavior. It
has been also conjectured that spectrum of this theory is equivalent to the
hypermultiplet spectrum of a certain D=4 Seiberg-Witten theory. We find that
the correspondence actually extends beyond hypermultiplets in D=4, and that
many of the relevant indices match. However, a D=2 BPS state is typically
mapped to several different kind of dyons whose individual supermultiplets are
rather complicated; the match of index comes about only after summing over
indices of these different dyons. We note general wall-crossing behavior of
flavored BPS kink states, and compare it to those of D=4 dyons.
|
[
{
"created": "Wed, 25 Nov 2009 01:28:04 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Dec 2009 15:04:18 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Feb 2010 05:27:43 GMT",
"version": "v3"
}
] |
2015-05-14
|
[
[
"Lee",
"Sungjay",
""
],
[
"Yi",
"Piljin",
""
]
] |
We study spectrum of D=2 N=(2,2) QED with N+1 massive charged chiral multiplets, with care given to precise supermultiplet countings. In the infrared the theory flows to CP^N model with twisted masses, where we construct generic flavored kink solitons for the large mass regime, and study their quantum degeneracies. These kinks are qualitatively different and far more numerous than those of small mass regime, with features reminiscent of multi-pronged (p,q) string web, complete with the wall-crossing behavior. It has been also conjectured that spectrum of this theory is equivalent to the hypermultiplet spectrum of a certain D=4 Seiberg-Witten theory. We find that the correspondence actually extends beyond hypermultiplets in D=4, and that many of the relevant indices match. However, a D=2 BPS state is typically mapped to several different kind of dyons whose individual supermultiplets are rather complicated; the match of index comes about only after summing over indices of these different dyons. We note general wall-crossing behavior of flavored BPS kink states, and compare it to those of D=4 dyons.
|
hep-th/0112248
|
Raimar Wulkenhaar
|
Raimar Wulkenhaar (Vienna)
|
Non-renormalizability of \theta-expanded noncommutative QED
|
30 pages, LaTeX, JHEP.cls, uses the feynmf package to draw 96 Feynman
graphs. v2: minor corrections, references added, adapted to JHEP style
|
JHEP0203:024,2002
|
10.1088/1126-6708/2002/03/024
|
UWThPh-2001-56
|
hep-th
| null |
Computing all divergent one-loop Green's functions of \theta-expanded
noncommutative quantum electrodynamics up to first order in \theta, we show
that this model is not renormalizable. The reason is a divergence in the
electron four-point function which cannot be removed by field redefinitions.
Ignoring this problem, we find however clear hints for new symmetries in
massless \theta-expanded noncommutative QED: Four additional divergences which
would be compatible with gauge and Lorentz symmetries and which are not
reachable by field redefinitions are absent.
|
[
{
"created": "Fri, 28 Dec 2001 16:02:33 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Apr 2002 09:41:27 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Wulkenhaar",
"Raimar",
"",
"Vienna"
]
] |
Computing all divergent one-loop Green's functions of \theta-expanded noncommutative quantum electrodynamics up to first order in \theta, we show that this model is not renormalizable. The reason is a divergence in the electron four-point function which cannot be removed by field redefinitions. Ignoring this problem, we find however clear hints for new symmetries in massless \theta-expanded noncommutative QED: Four additional divergences which would be compatible with gauge and Lorentz symmetries and which are not reachable by field redefinitions are absent.
|
1812.07287
|
Linus Wulff
|
Riccardo Borsato and Linus Wulff
|
Marginal deformations of WZW models and the classical Yang-Baxter
equation
|
29 pages; v2: Clarification of marginality condition from conformal
pert. theory and of non-SUGRA solution (R4). Appendix E improved. Published
version
| null |
10.1088/1751-8121/ab1b9c
|
NORDITA 2018-122
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how so-called Yang-Baxter (YB) deformations of sigma models, based on
an R-matrix solving the classical Yang-Baxter equation (CYBE), give rise to
marginal current-current deformations when applied to the Wess-Zumino-Witten
(WZW) model. For non-compact groups these marginal deformations are more
general than the ones usually considered, since they can involve a non-abelian
current subalgebra. We classify such deformations of the AdS(3) x S(3) string.
|
[
{
"created": "Tue, 18 Dec 2018 10:47:32 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Jun 2019 13:54:46 GMT",
"version": "v2"
}
] |
2019-06-27
|
[
[
"Borsato",
"Riccardo",
""
],
[
"Wulff",
"Linus",
""
]
] |
We show how so-called Yang-Baxter (YB) deformations of sigma models, based on an R-matrix solving the classical Yang-Baxter equation (CYBE), give rise to marginal current-current deformations when applied to the Wess-Zumino-Witten (WZW) model. For non-compact groups these marginal deformations are more general than the ones usually considered, since they can involve a non-abelian current subalgebra. We classify such deformations of the AdS(3) x S(3) string.
|
1610.03952
|
Peng Wang
|
Peng Wang, Houwen Wu, Haitang Yang
|
Closed String Tachyon Driving $f(R)$ Cosmology
|
23 pages, 6 figures
| null |
10.1088/1475-7516/2018/05/034
|
CTP-SCU/2016011
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
To study quantum effects on the bulk tachyon dynamics, we replace $R$ with
$f(R)$ in the low-energy effective action that couples gravity, the dilaton,
and the bulk closed string tachyon of bosonic closed string theory and study
properties of their classical solutions. The $\alpha^{\prime}$ corrections of
the graviton-dilaton-tachyon system are implemented in the $f(R)$. We obtain
the tachyon-induced rolling solutions and show that the string metric does not
need to remain fixed in some cases. The singular behavior of more classical
solutions are investigated and found to be modified by quantum effects. In
particular, there could exist some classical solutions, in which the tachyon
field rolls down from a maximum of the tachyon potential while the dilaton
expectation value is always bounded from above during the rolling process.
|
[
{
"created": "Thu, 13 Oct 2016 06:57:00 GMT",
"version": "v1"
}
] |
2018-05-23
|
[
[
"Wang",
"Peng",
""
],
[
"Wu",
"Houwen",
""
],
[
"Yang",
"Haitang",
""
]
] |
To study quantum effects on the bulk tachyon dynamics, we replace $R$ with $f(R)$ in the low-energy effective action that couples gravity, the dilaton, and the bulk closed string tachyon of bosonic closed string theory and study properties of their classical solutions. The $\alpha^{\prime}$ corrections of the graviton-dilaton-tachyon system are implemented in the $f(R)$. We obtain the tachyon-induced rolling solutions and show that the string metric does not need to remain fixed in some cases. The singular behavior of more classical solutions are investigated and found to be modified by quantum effects. In particular, there could exist some classical solutions, in which the tachyon field rolls down from a maximum of the tachyon potential while the dilaton expectation value is always bounded from above during the rolling process.
|
1802.01040
|
Daniel Harlow
|
Daniel Harlow
|
TASI Lectures on the Emergence of the Bulk in AdS/CFT
|
Dedicated to the memory of Joe Polchinski: an inspiring physicist, a
thoughtful mentor, and a wonderful human being. v2: References added, and
also a table of contents. v3: section 4.3 improved substantially, also a few
more references
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These lectures review recent developments in our understanding of the
emergence of local bulk physics in AdS/CFT. The primary topics are sufficient
conditions for a conformal field theory to have a semiclassical dual, bulk
reconstruction, the quantum error correction interpretation of the
correspondence, tensor network models of holography, and the quantum
Ryu-Takayanagi formula.
|
[
{
"created": "Sat, 3 Feb 2018 21:58:15 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Feb 2018 22:28:14 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Jul 2018 15:58:22 GMT",
"version": "v3"
}
] |
2018-08-01
|
[
[
"Harlow",
"Daniel",
""
]
] |
These lectures review recent developments in our understanding of the emergence of local bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction, the quantum error correction interpretation of the correspondence, tensor network models of holography, and the quantum Ryu-Takayanagi formula.
|
hep-th/0310098
|
Michael Walker
|
M. L. Walker
|
A Completely Invariant SUSY Transform of Supersymmetric QED
| null |
J.Phys. G30 (2004) 1219-1224
|
10.1088/0954-3899/30/9/019
| null |
hep-th
| null |
We study the SUSY breaking of the covariant gauge-fixing term in SUSY QED and
observe that this corresponds to a breaking of the Lorentz gauge condition by
SUSY. Reasoning by analogy with SUSY's violation of the Wess-Zumino gauge, we
argue that the SUSY transformation, already modified to preserve Wess-Zumino
gauge, should be further modified by another gauge transformation which
restores the Lorentz gauge condition. We derive this modification and use the
resulting transformation to derive a Ward identitiy relating the photon and
photino propagators without using ghost fields. Our transformation also
fulfills the SUSY algebra, modulo terms that vanish in Lorentz gauge.
|
[
{
"created": "Fri, 10 Oct 2003 08:26:31 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Walker",
"M. L.",
""
]
] |
We study the SUSY breaking of the covariant gauge-fixing term in SUSY QED and observe that this corresponds to a breaking of the Lorentz gauge condition by SUSY. Reasoning by analogy with SUSY's violation of the Wess-Zumino gauge, we argue that the SUSY transformation, already modified to preserve Wess-Zumino gauge, should be further modified by another gauge transformation which restores the Lorentz gauge condition. We derive this modification and use the resulting transformation to derive a Ward identitiy relating the photon and photino propagators without using ghost fields. Our transformation also fulfills the SUSY algebra, modulo terms that vanish in Lorentz gauge.
|
0905.1951
|
Washington Taylor
|
Vladimir Rosenhaus and Washington Taylor
|
Diversity in the Tail of the Intersecting Brane Landscape
|
48 pages, 8 figures
|
JHEP 0906:073,2009
|
10.1088/1126-6708/2009/06/073
|
MIT-CTP-4033
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Techniques are developed for exploring the complete space of intersecting
brane models on an orientifold. The classification of all solutions for the
widely-studied T^6/Z_2 x Z_2 orientifold is made possible by computing all
combinations of branes with negative tadpole contributions. This provides the
necessary information to systematically and efficiently identify all models in
this class with specific characteristics. In particular, all ways in which a
desired group G can be realized by a system of intersecting branes can be
enumerated in polynomial time. We identify all distinct brane realizations of
the gauge groups SU(3) x SU(2) and SU(3) x SU(2) x U(1) which can be embedded
in any model which is compatible with the tadpole and SUSY constraints. We
compute the distribution of the number of generations of "quarks" and find that
3 is neither suppressed nor particularly enhanced compared to other odd
generation numbers. The overall distribution of models is found to have a long
tail. Despite disproportionate suppression of models in the tail by K-theory
constraints, the tail in the distribution contains much of the diversity of
low-energy physics structure.
|
[
{
"created": "Wed, 13 May 2009 18:36:27 GMT",
"version": "v1"
}
] |
2011-03-28
|
[
[
"Rosenhaus",
"Vladimir",
""
],
[
"Taylor",
"Washington",
""
]
] |
Techniques are developed for exploring the complete space of intersecting brane models on an orientifold. The classification of all solutions for the widely-studied T^6/Z_2 x Z_2 orientifold is made possible by computing all combinations of branes with negative tadpole contributions. This provides the necessary information to systematically and efficiently identify all models in this class with specific characteristics. In particular, all ways in which a desired group G can be realized by a system of intersecting branes can be enumerated in polynomial time. We identify all distinct brane realizations of the gauge groups SU(3) x SU(2) and SU(3) x SU(2) x U(1) which can be embedded in any model which is compatible with the tadpole and SUSY constraints. We compute the distribution of the number of generations of "quarks" and find that 3 is neither suppressed nor particularly enhanced compared to other odd generation numbers. The overall distribution of models is found to have a long tail. Despite disproportionate suppression of models in the tail by K-theory constraints, the tail in the distribution contains much of the diversity of low-energy physics structure.
|
hep-th/9309106
|
Igor Klebanov
|
I. R. Klebanov, I. I. Kogan and A. M. Polyakov
|
Gravitational Dressing of Renormalization Group
|
preprint PUPT-1421 10 pages
|
Phys.Rev.Lett. 71 (1993) 3243-3246
|
10.1103/PhysRevLett.71.3243
| null |
hep-th
| null |
We study the gravitational dressing of renormalizable two-dimensional field
theories. Our main result is that the one-loop $\beta$-function is finitely
renormalized by the factor ${k+2\over k+1}$, where $k$ is the central charge of
the gravitational $SL(2, R)$ current algebra.
|
[
{
"created": "Mon, 20 Sep 1993 17:54:29 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Klebanov",
"I. R.",
""
],
[
"Kogan",
"I. I.",
""
],
[
"Polyakov",
"A. M.",
""
]
] |
We study the gravitational dressing of renormalizable two-dimensional field theories. Our main result is that the one-loop $\beta$-function is finitely renormalized by the factor ${k+2\over k+1}$, where $k$ is the central charge of the gravitational $SL(2, R)$ current algebra.
|
1203.4894
|
Ken-Ji Hamada
|
Ken-ji Hamada
|
BRST Invariant Higher Derivative Operators in 4D Quantum Gravity based
on CFT
|
22 pages, minor typo corrected, published version
| null |
10.1103/PhysRevD.85.124036
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the study of physical fields for the background free 4D quantum
gravity based on the Riegert-Wess-Zumino action, developed in Phys. Rev. D {\bf
85} (2012) 024028. The background free model is formulated in terms of a
certain conformal field theory on M^4 in which conformal symmetry arises as
gauge symmetry, namely diffeomorphism invariance. In this paper, we construct
the physical field operator corresponding to any integer power of Ricci scalar
curvature in the context of the BRST quantization. We also discuss how to
define the correlation function and its physical meanings.
|
[
{
"created": "Thu, 22 Mar 2012 06:32:59 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2012 05:15:44 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Oct 2012 06:39:52 GMT",
"version": "v3"
}
] |
2013-05-30
|
[
[
"Hamada",
"Ken-ji",
""
]
] |
We continue the study of physical fields for the background free 4D quantum gravity based on the Riegert-Wess-Zumino action, developed in Phys. Rev. D {\bf 85} (2012) 024028. The background free model is formulated in terms of a certain conformal field theory on M^4 in which conformal symmetry arises as gauge symmetry, namely diffeomorphism invariance. In this paper, we construct the physical field operator corresponding to any integer power of Ricci scalar curvature in the context of the BRST quantization. We also discuss how to define the correlation function and its physical meanings.
|
2107.08052
|
Noam Chai
|
Noam Chai, Mikhail Goykhman, Ritam Sinha
|
Long-Range Vector Models at Large N
|
44 pages
| null |
10.1007/JHEP09(2021)194
| null |
hep-th cond-mat.str-el
|
http://creativecommons.org/licenses/by/4.0/
|
We calculate various CFT data for the $O(N)$ vector model with the long-range
interaction, working at the next-to-leading order in the $1/N$ expansion. Our
results provide additional evidence for the existence of conformal symmetry at
the long-range fixed point, as well as the continuity of the CFT data at the
long-range to short-range crossover point $s_\star$ of the exponent parameter
$s$. We also develop the $N>1$ generalization of the recently proposed IR
duality between the long-range and the deformed short-range models, providing
further evidence for its non-perturbative validity in the entire region
$d/2<s<s_\star$.
|
[
{
"created": "Fri, 16 Jul 2021 18:00:01 GMT",
"version": "v1"
}
] |
2021-10-07
|
[
[
"Chai",
"Noam",
""
],
[
"Goykhman",
"Mikhail",
""
],
[
"Sinha",
"Ritam",
""
]
] |
We calculate various CFT data for the $O(N)$ vector model with the long-range interaction, working at the next-to-leading order in the $1/N$ expansion. Our results provide additional evidence for the existence of conformal symmetry at the long-range fixed point, as well as the continuity of the CFT data at the long-range to short-range crossover point $s_\star$ of the exponent parameter $s$. We also develop the $N>1$ generalization of the recently proposed IR duality between the long-range and the deformed short-range models, providing further evidence for its non-perturbative validity in the entire region $d/2<s<s_\star$.
|
hep-th/9909221
|
Jan Govaerts
|
Jan Govaerts and Bernadette Deschepper (Catholic Univ. Louvain,
Belgium)
|
The Physical Projector and Topological Quantum Field Theories: U(1)
Chern-Simons Theory in 2+1 Dimensions
|
24 pages, no figures, plain LaTeX file; one more reference added.
Final version to appear in Jour. Phys. A
|
J.Phys.A33:1031-1053,2000
|
10.1088/0305-4470/33/5/315
| null |
hep-th hep-ph quant-ph
| null |
The recently proposed physical projector approach to the quantisation of
gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1
dimensions as one of the simplest examples of a topological quantum field
theory. The physical projector is explicitely demonstrated to be capable of
effecting the required projection from the initially infinite number of degrees
of freedom to the finite set of gauge invariant physical states whose
properties are determined by the topology of the underlying manifold.
|
[
{
"created": "Thu, 30 Sep 1999 06:56:55 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 1999 09:33:17 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Dec 1999 14:51:53 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Govaerts",
"Jan",
"",
"Catholic Univ. Louvain,\n Belgium"
],
[
"Deschepper",
"Bernadette",
"",
"Catholic Univ. Louvain,\n Belgium"
]
] |
The recently proposed physical projector approach to the quantisation of gauge invariant systems is applied to the U(1) Chern-Simons theory in 2+1 dimensions as one of the simplest examples of a topological quantum field theory. The physical projector is explicitely demonstrated to be capable of effecting the required projection from the initially infinite number of degrees of freedom to the finite set of gauge invariant physical states whose properties are determined by the topology of the underlying manifold.
|
hep-th/0507006
|
Ruth Durrer
|
Ruth Durrer
|
Braneworlds
|
39 pages, 12 Figures, course given at the XI Brazilian School of
Cosmology and Gravitation
| null |
10.1063/1.2032732
| null |
hep-th astro-ph
| null |
This course is an introduction to the physics of braneworlds. We concentrate
on braneworlds with only one extra-dimension and discuss their gravity. We
derive the gravitational equations on the brane from the bulk Einstein equation
and explore some limits in which they reduce to 4-dimensional Einstein gravity.
We indicate how cosmological perturbations from braneworlds are probably very
different from usual cosmological perturbations and give some examples of the
preliminary results in this active field of research. For completeness, we also
present an introduction to 4-dimensional cosmological perturbation theory and,
especially its application to the anisotropies of the cosmic microwave
background.
|
[
{
"created": "Fri, 1 Jul 2005 10:37:17 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Durrer",
"Ruth",
""
]
] |
This course is an introduction to the physics of braneworlds. We concentrate on braneworlds with only one extra-dimension and discuss their gravity. We derive the gravitational equations on the brane from the bulk Einstein equation and explore some limits in which they reduce to 4-dimensional Einstein gravity. We indicate how cosmological perturbations from braneworlds are probably very different from usual cosmological perturbations and give some examples of the preliminary results in this active field of research. For completeness, we also present an introduction to 4-dimensional cosmological perturbation theory and, especially its application to the anisotropies of the cosmic microwave background.
|
2212.10575
|
Gonzalo Torroba
|
Horacio Casini, Ignacio Salazar Landea, Gonzalo Torroba
|
The entropic $g$-theorem in general spacetime dimension
|
v2: minor corrections, matches published version. 6 pages, 2 figures
| null |
10.1103/PhysRevLett.130.111603
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We establish the irreversibility of renormalization group flows on a
pointlike defect inserted in a $d$-dimensional Lorentzian conformal field
theory. We identify the impurity entropy $g$ with the quantum relative entropy
in two equivalent ways. One involves a null deformation of the Cauchy surface,
and the other is given in terms of a local quench protocol. Positivity and
monotonicity of the relative entropy imply that $g$ decreases monotonically
along renormalization group flows, and provides a clear information-theoretic
meaning for this irreversibility.
|
[
{
"created": "Tue, 20 Dec 2022 19:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2023 11:10:30 GMT",
"version": "v2"
}
] |
2023-03-29
|
[
[
"Casini",
"Horacio",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Torroba",
"Gonzalo",
""
]
] |
We establish the irreversibility of renormalization group flows on a pointlike defect inserted in a $d$-dimensional Lorentzian conformal field theory. We identify the impurity entropy $g$ with the quantum relative entropy in two equivalent ways. One involves a null deformation of the Cauchy surface, and the other is given in terms of a local quench protocol. Positivity and monotonicity of the relative entropy imply that $g$ decreases monotonically along renormalization group flows, and provides a clear information-theoretic meaning for this irreversibility.
|
hep-th/9410233
|
Shibaji Roy
|
Pablo M. Llatas and Shibaji Roy
|
$c_M<1$ String Theory as a Constrained Topological Sigma Model
|
12 pages, Latex file, UG-9/94
|
Phys.Lett.B345:6-14,1995
|
10.1016/0370-2693(94)01618-M
| null |
hep-th
| null |
It has been argued by Ishikawa and Kato that by making use of a specific
bosonization, $c_M=1$ string theory can be regarded as a constrained
topological sigma model. We generalize their construction for any $(p,q)$
minimal model coupled to two dimensional (2d) gravity and show that the
energy--momentum tensor and the topological charge of a constrained topological
sigma model can be mapped to the energy--momentum tensor and the BRST charge of
$c_M<1$ string theory at zero cosmological constant. We systematically study
the physical state spectrum of this topological sigma model and recover the
spectrum in the absolute cohomology of $c_M<1$ string theory. This procedure
provides us a manifestly topological representation of the continuum Liouville
formulation of $c_M<1$ string theory.
|
[
{
"created": "Mon, 31 Oct 1994 15:03:38 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Llatas",
"Pablo M.",
""
],
[
"Roy",
"Shibaji",
""
]
] |
It has been argued by Ishikawa and Kato that by making use of a specific bosonization, $c_M=1$ string theory can be regarded as a constrained topological sigma model. We generalize their construction for any $(p,q)$ minimal model coupled to two dimensional (2d) gravity and show that the energy--momentum tensor and the topological charge of a constrained topological sigma model can be mapped to the energy--momentum tensor and the BRST charge of $c_M<1$ string theory at zero cosmological constant. We systematically study the physical state spectrum of this topological sigma model and recover the spectrum in the absolute cohomology of $c_M<1$ string theory. This procedure provides us a manifestly topological representation of the continuum Liouville formulation of $c_M<1$ string theory.
|
1007.4685
|
Sergio Zerbini
|
G. Cognola and S. Zerbini
|
Generalized Zeta Function Regularization and the Multiplicative Anomaly
|
10 pages, submitted to the volume "Cosmology, Quantum Vacuum, and
Zeta Functions", in honour of Professor Emilio Elizalde on the occasion of
his 60th birthday
| null |
10.1007/978-3-642-19760-4_33
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A brief survey of the zeta function regularization and multiplicative anomaly
issues when the associated zeta function of fluctuation operator is the regular
at the origin (regular case) as well as when it is singular at the origin
(singular case) is presented. In the singular case, new results for the
multiplicative anomaly are presented
|
[
{
"created": "Tue, 27 Jul 2010 11:57:40 GMT",
"version": "v1"
}
] |
2015-05-19
|
[
[
"Cognola",
"G.",
""
],
[
"Zerbini",
"S.",
""
]
] |
A brief survey of the zeta function regularization and multiplicative anomaly issues when the associated zeta function of fluctuation operator is the regular at the origin (regular case) as well as when it is singular at the origin (singular case) is presented. In the singular case, new results for the multiplicative anomaly are presented
|
hep-th/0302228
|
Norma Sanchez
|
Norma G. Sanchez
|
Advances in String Theory in Curved Backgrounds: A Synthesis Report
|
19 pages, no figures Invited Review to the Proceedings of the 2nd
International Londrina School, Brazil. IJMPA
|
Int.J.Mod.Phys.A18:2011-2024,2003
|
10.1142/S0217751X0301543X
| null |
hep-th astro-ph gr-qc hep-ph math-ph math.MP
| null |
A synthetic report of the advances in the study of classical and quantum
string dynamics in curved backgrounds is provided, namely: the new feature of
multistring solutions; the effect of a cosmological constant and of spacial
curvature on classical and quantum strings; classical splitting of fundamental
strings;the general string evolution in constant curvature spacetimes;the
conformal invariant effects;strings on plane waves, shock waves and spacetime
singularities and its spectrum. New developments in string gravity and string
cosmology are reported: string driven cosmology and its predictions;the
primordial gravitation wave background; non-singular string cosmologies from
exact conformal field theories;QFT, string temperature and the string phase of
de Sitter space; the string phase of black holes;new dual relation between QFT
regimes and string regimes and the 'QFT/String Tango'; new coherent string
states and minimal uncertainty principle in string theory
|
[
{
"created": "Fri, 28 Feb 2003 15:47:30 GMT",
"version": "v1"
}
] |
2011-07-19
|
[
[
"Sanchez",
"Norma G.",
""
]
] |
A synthetic report of the advances in the study of classical and quantum string dynamics in curved backgrounds is provided, namely: the new feature of multistring solutions; the effect of a cosmological constant and of spacial curvature on classical and quantum strings; classical splitting of fundamental strings;the general string evolution in constant curvature spacetimes;the conformal invariant effects;strings on plane waves, shock waves and spacetime singularities and its spectrum. New developments in string gravity and string cosmology are reported: string driven cosmology and its predictions;the primordial gravitation wave background; non-singular string cosmologies from exact conformal field theories;QFT, string temperature and the string phase of de Sitter space; the string phase of black holes;new dual relation between QFT regimes and string regimes and the 'QFT/String Tango'; new coherent string states and minimal uncertainty principle in string theory
|
hep-th/0112246
|
Silvia Penati
|
Marcus T. Grisaru and Silvia Penati
|
An integrable noncommutative version of the sine--Gordon system
|
28 pages, 2 figures. More comments about the equations of motion have
been added
| null | null | null |
hep-th
| null |
Using the bicomplex approach we discuss a noncommutative system in
two--dimensional Euclidean space. It is described by an equation of motion
which reduces to the ordinary sine--Gordon equation when the noncommutation
parameter is removed, plus a constraint equation which is nontrivial only in
the noncommutative case. We show that the system has an infinite number of
conserved currents and we give the general recursive relation for constructing
them. For the particular cases of lower spin nontrivial currents we work out
the explicit expressions and perform a direct check of their conservation.
These currents reduce to the usual sine-Gordon currents in the commutative
limit. We find classical ``localized'' solutions to first order in the
noncommutativity parameter and describe the Backlund transformations for our
system. Finally, we comment on the relation of our noncommutative system to the
commutative sine-Gordon system.
|
[
{
"created": "Fri, 28 Dec 2001 10:05:24 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2002 08:30:33 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Nov 2002 15:28:45 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Grisaru",
"Marcus T.",
""
],
[
"Penati",
"Silvia",
""
]
] |
Using the bicomplex approach we discuss a noncommutative system in two--dimensional Euclidean space. It is described by an equation of motion which reduces to the ordinary sine--Gordon equation when the noncommutation parameter is removed, plus a constraint equation which is nontrivial only in the noncommutative case. We show that the system has an infinite number of conserved currents and we give the general recursive relation for constructing them. For the particular cases of lower spin nontrivial currents we work out the explicit expressions and perform a direct check of their conservation. These currents reduce to the usual sine-Gordon currents in the commutative limit. We find classical ``localized'' solutions to first order in the noncommutativity parameter and describe the Backlund transformations for our system. Finally, we comment on the relation of our noncommutative system to the commutative sine-Gordon system.
|
hep-th/9408050
| null |
Peter E. Haagensen, Yuri Kubyshin, Jos\'e Ignacio Latorre and E.
Moreno
|
The Exact Renormalization Group and Approximations
|
13 pages, LATEX (needs worldsci.sty). 3 figures available on request.
Talk presented by Yu. Kubyshin at the "Quarks '94" International Seminar (May
11-18, 1994, Vladimir, Russia). No changes, replaced due to transmission
error observed
| null | null | null |
hep-th
| null |
We review the Exact Renormalization Group equations of Wegner and Houghton in
an approximation which permits both numerical and analytical studies of
nonperturbative renormalization flows. We obtain critical exponents numerically
and with the local polynomial approximation (LPA), and discuss the advantages
and shortcomings of these methods, and compare our results with the literature.
In particular, convergence of the LPA is discussed in some detail. We finally
integrate the flows numerically and find a $c$-function which determines these
flows to be gradient in this approximation.
|
[
{
"created": "Tue, 9 Aug 1994 09:52:03 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Aug 1994 09:59:39 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Aug 1994 13:56:57 GMT",
"version": "v3"
}
] |
2009-09-25
|
[
[
"Haagensen",
"Peter E.",
""
],
[
"Kubyshin",
"Yuri",
""
],
[
"Latorre",
"José Ignacio",
""
],
[
"Moreno",
"E.",
""
]
] |
We review the Exact Renormalization Group equations of Wegner and Houghton in an approximation which permits both numerical and analytical studies of nonperturbative renormalization flows. We obtain critical exponents numerically and with the local polynomial approximation (LPA), and discuss the advantages and shortcomings of these methods, and compare our results with the literature. In particular, convergence of the LPA is discussed in some detail. We finally integrate the flows numerically and find a $c$-function which determines these flows to be gradient in this approximation.
|
hep-th/0212222
| null |
S.L.Dubovsky, V.A.Rubakov
|
Brane-induced gravity in more than one extra dimensions: violation of
equivalence principle and ghost
|
23 pages; introduction expanded, references added, final version to
appear in Phys. Rev. D
|
Phys.Rev. D67 (2003) 104014
|
10.1103/PhysRevD.67.104014
| null |
hep-th
| null |
We consider brane-induced gravity model in more than one extra dimensions,
regularized by assuming that the bulk gravity is soft in ultraviolet. We study
linear theory about flat multi-dimensional space-time and flat brane. We first
find that this model allows for violation of equivalence between gravitational
and inertial masses of brane matter. We then observe that the model has a
scalar ghost field localized near the brane, as well as quasi-localized massive
graviton. Pure tensor structure of four-dimensional gravity on the brane at
intermediate distances is due to the cancellation between the extra
polarization of the massive graviton, and the ghost. This is completely
analogous to the situation in the GRS model.
|
[
{
"created": "Wed, 18 Dec 2002 19:49:52 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Mar 2003 15:32:54 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Dubovsky",
"S. L.",
""
],
[
"Rubakov",
"V. A.",
""
]
] |
We consider brane-induced gravity model in more than one extra dimensions, regularized by assuming that the bulk gravity is soft in ultraviolet. We study linear theory about flat multi-dimensional space-time and flat brane. We first find that this model allows for violation of equivalence between gravitational and inertial masses of brane matter. We then observe that the model has a scalar ghost field localized near the brane, as well as quasi-localized massive graviton. Pure tensor structure of four-dimensional gravity on the brane at intermediate distances is due to the cancellation between the extra polarization of the massive graviton, and the ghost. This is completely analogous to the situation in the GRS model.
|
0802.1392
|
Delsate T\'erence
|
Terence Delsate
|
Perturbative non uniform black strings in ${AdS}_6$
|
10 pages, 2 figures
|
Phys.Lett.B663:118-124,2008
|
10.1016/j.physletb.2008.03.047
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the non uniform AdS black string solution with a perturbation
theory in six dimensions, focusing on the backreacting second order correction.
The backreactions at second order give the first relevant corrections to the
thermodynamical quantities. Our results show that for configurations with
horizon radius and length in the extradimension small compared to the AdS
radius, the properties of the non uniform black string are similar to the
locally asymptotically flat case. For black strings with small horizon radial
coordinate but large length in the extradimension, the thermodynamical
properties of the solutions are affected by the AdS curvature.
|
[
{
"created": "Mon, 11 Feb 2008 08:43:41 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Mar 2008 16:17:08 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Delsate",
"Terence",
""
]
] |
We construct the non uniform AdS black string solution with a perturbation theory in six dimensions, focusing on the backreacting second order correction. The backreactions at second order give the first relevant corrections to the thermodynamical quantities. Our results show that for configurations with horizon radius and length in the extradimension small compared to the AdS radius, the properties of the non uniform black string are similar to the locally asymptotically flat case. For black strings with small horizon radial coordinate but large length in the extradimension, the thermodynamical properties of the solutions are affected by the AdS curvature.
|
1501.04937
|
Ruth Gregory
|
Philipp Burda, Ruth Gregory, Ian Moss
|
Gravity and the stability of the Higgs vacuum
|
4 pages 3 figures, published version
|
Phys. Rev. Lett. 115, 071303 (2015)
|
10.1103/PhysRevLett.115.071303
|
DCPT-15/03
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the effect of gravitational interactions on the lifetime of the
Higgs vacuum where generic quantum gravity corrections are taken into account.
We show how small black holes can act as seeds for vacuum decay, spontaneously
nucleating a new Higgs phase centered on the black hole with a lifetime
measured in millions of Planck times rather than billions of years. The
constraints on parameter space of corrections to the Higgs potential are
outlined, and implications for collider black holes discussed.
|
[
{
"created": "Tue, 20 Jan 2015 20:01:27 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 2015 13:28:43 GMT",
"version": "v2"
}
] |
2015-08-26
|
[
[
"Burda",
"Philipp",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Moss",
"Ian",
""
]
] |
We discuss the effect of gravitational interactions on the lifetime of the Higgs vacuum where generic quantum gravity corrections are taken into account. We show how small black holes can act as seeds for vacuum decay, spontaneously nucleating a new Higgs phase centered on the black hole with a lifetime measured in millions of Planck times rather than billions of years. The constraints on parameter space of corrections to the Higgs potential are outlined, and implications for collider black holes discussed.
|
hep-th/9511006
|
Reinhard Oehme
|
Reinhard Oehme
|
Reduction of Coupling Parameters
|
Plenary talk presented at the XVIIIth International Workshop on High
Energy Physics and Field Theory, Moscow-Protvino, June 1995. To be published
in the Proceedings. 20 pages, Latex
| null | null |
EFI 95-47, MPI-Ph/95-81
|
hep-th hep-ph
| null |
The general theory of the reduction in the number of coupling parameters is
discussed. The method involves renormalization group invariant relations
between couplings. It is more general than the imposition of symmetries. There
are reduced theories with no known symmetry. The reduction scheme is finding
many applications. Discussed in some detail are the construction of gauge
theories with ``minimal'' coupling for Yang-Mills and matter fields, and the
Gauge-Yukawa Unification within N=1 supersymmetric GUT's.
|
[
{
"created": "Wed, 1 Nov 1995 18:23:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Oehme",
"Reinhard",
""
]
] |
The general theory of the reduction in the number of coupling parameters is discussed. The method involves renormalization group invariant relations between couplings. It is more general than the imposition of symmetries. There are reduced theories with no known symmetry. The reduction scheme is finding many applications. Discussed in some detail are the construction of gauge theories with ``minimal'' coupling for Yang-Mills and matter fields, and the Gauge-Yukawa Unification within N=1 supersymmetric GUT's.
|
1709.08596
|
Ruslan Metsaev
|
R.R. Metsaev
|
Cubic interaction vertices for continuous-spin fields and arbitrary spin
massive fields
|
49 pages, v2: Typos in text and eqs.(4.35),(B.13),(B.14),(B.24)
corrected. Above eqs.(3.37) and below eqs.(3.43), brief remarks added
| null |
10.1007/JHEP11(2017)197
|
FIAN-TD-2017-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Light-cone gauge formulation of relativistic dynamics of a continuous-spin
field propagating in the flat space is developed. Cubic interaction vertices of
continuous-spin massless fields and totally symmetric arbitrary spin massive
fields are studied. We consider parity invariant cubic vertices that involve
one continuous-spin massless field and two arbitrary spin massive fields and
parity invariant cubic vertices that involve two continuous-spin massless
fields and one arbitrary spin massive field. We construct the complete list of
such vertices explicitly. Also we demonstrate that there are no cubic vertices
describing consistent interaction of continuous-spin massless fields with
arbitrary spin massless fields.
|
[
{
"created": "Mon, 25 Sep 2017 16:54:49 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2017 16:08:26 GMT",
"version": "v2"
}
] |
2018-01-17
|
[
[
"Metsaev",
"R. R.",
""
]
] |
Light-cone gauge formulation of relativistic dynamics of a continuous-spin field propagating in the flat space is developed. Cubic interaction vertices of continuous-spin massless fields and totally symmetric arbitrary spin massive fields are studied. We consider parity invariant cubic vertices that involve one continuous-spin massless field and two arbitrary spin massive fields and parity invariant cubic vertices that involve two continuous-spin massless fields and one arbitrary spin massive field. We construct the complete list of such vertices explicitly. Also we demonstrate that there are no cubic vertices describing consistent interaction of continuous-spin massless fields with arbitrary spin massless fields.
|
2005.01893
|
Clifford V. Johnson
|
Clifford V. Johnson
|
JT Supergravity, Minimal Strings, and Matrix Models
|
15 pages, 9 multi-component figures, 1 trumpet v2: Discussion of
perturbation theory improved. Overall presentation enhanced in various places
|
Phys. Rev. D 103, 046012 (2021)
|
10.1103/PhysRevD.103.046012
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is proposed that a family of Jackiw-Teitelboim supergravites, recently
discussed in connection with matrix models by Stanford and Witten, can be given
a complete definition, to all orders in the topological expansion and beyond,
in terms of a specific combination of minimal string theories. This
construction defines non-perturbative physics for the supergravity that is
well-defined and stable. The minimal models come from double-scaled complex
matrix models and correspond to the cases $(2\Gamma{+}1,2)$ in the
Altland-Zirnbauer $(\boldsymbol{\alpha},\boldsymbol{\beta})$ classification of
random matrix ensembles, where $\Gamma$ is a parameter. A central role is
played by a non-linear `string equation' that naturally incorporates $\Gamma$,
usually taken to be an integer, counting e.g., D-branes in the minimal models.
Here, half-integer $\Gamma$ also has an interpretation. In fact,
$\Gamma{=}{\pm}\frac12$ yields the cases $(0,2)$ and $(2,2)$ that were shown by
Stanford and Witten to have very special properties. These features are
manifest in this definition because the relevant solutions of the string
equation have special properties for $\Gamma{=}{\pm}\frac12$. Additional
special features for other half-integer $\Gamma$ suggest new surprises in the
supergravity models.
|
[
{
"created": "Tue, 5 May 2020 00:23:32 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Dec 2020 02:18:13 GMT",
"version": "v2"
}
] |
2021-02-24
|
[
[
"Johnson",
"Clifford V.",
""
]
] |
It is proposed that a family of Jackiw-Teitelboim supergravites, recently discussed in connection with matrix models by Stanford and Witten, can be given a complete definition, to all orders in the topological expansion and beyond, in terms of a specific combination of minimal string theories. This construction defines non-perturbative physics for the supergravity that is well-defined and stable. The minimal models come from double-scaled complex matrix models and correspond to the cases $(2\Gamma{+}1,2)$ in the Altland-Zirnbauer $(\boldsymbol{\alpha},\boldsymbol{\beta})$ classification of random matrix ensembles, where $\Gamma$ is a parameter. A central role is played by a non-linear `string equation' that naturally incorporates $\Gamma$, usually taken to be an integer, counting e.g., D-branes in the minimal models. Here, half-integer $\Gamma$ also has an interpretation. In fact, $\Gamma{=}{\pm}\frac12$ yields the cases $(0,2)$ and $(2,2)$ that were shown by Stanford and Witten to have very special properties. These features are manifest in this definition because the relevant solutions of the string equation have special properties for $\Gamma{=}{\pm}\frac12$. Additional special features for other half-integer $\Gamma$ suggest new surprises in the supergravity models.
|
hep-th/9402077
| null |
Ulrich Ellwanger
|
Flow Equations and BRS Invariance for Yang-Mills Theories
|
10 pages, HD-THEP-94-02 (References and example added; version to
appear in Phys. Lett. B)
|
Phys.Lett. B335 (1994) 364-370
|
10.1016/0370-2693(94)90365-4
| null |
hep-th hep-ph
| null |
Flow equations describe the evolution of the effective action $\Gamma_k$ in
the process of varying an infrared cutoff $k$. The presence of the infrared
cutoff explicitly breaks gauge and hence BRS invariance. We derive modified
Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee
the BRS invariance of $\Gamma_k$ for $k\to0$, and hence allow the study of
non-abelian gauge theories by integrating the flow equations. Within a
perturbative expansion of $\Gamma_k$, we derive an equation for a $k$ dependent
mass term for the gauge fields implied by the modified Slavnov-Taylor
identities.
|
[
{
"created": "Mon, 14 Feb 1994 14:49:11 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 1994 08:59:50 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ellwanger",
"Ulrich",
""
]
] |
Flow equations describe the evolution of the effective action $\Gamma_k$ in the process of varying an infrared cutoff $k$. The presence of the infrared cutoff explicitly breaks gauge and hence BRS invariance. We derive modified Slavnov-Taylor identities, which are valid for nonvanishing $k$. They guarantee the BRS invariance of $\Gamma_k$ for $k\to0$, and hence allow the study of non-abelian gauge theories by integrating the flow equations. Within a perturbative expansion of $\Gamma_k$, we derive an equation for a $k$ dependent mass term for the gauge fields implied by the modified Slavnov-Taylor identities.
|
hep-th/9901041
|
Andreas Karch
|
Andreas Karch, Dieter Lust and Andre Miemiec
|
New N=1 Superconformal Field Theories and their Supergravity Description
|
LaTeX2e; v2: 2 references added; v3: discussion about selfduality
corrected
|
Phys.Lett.B454:265-269,1999
|
10.1016/S0370-2693(99)00392-5
|
HUB-EP-99/03, MIT-CTP-2823
|
hep-th
| null |
In this note we construct a new class of superconformal field theories as
mass deformed N=4 super Yang-Mills theories. We will argue that these theories
correspond to the fixed points which were recently found by Khavaev, Pilch and
Warner studying the deformations of the dual IIB string theory on AdS_5\times
S^5.
|
[
{
"created": "Tue, 12 Jan 1999 00:38:09 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 1999 15:35:26 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jan 1999 03:49:12 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Karch",
"Andreas",
""
],
[
"Lust",
"Dieter",
""
],
[
"Miemiec",
"Andre",
""
]
] |
In this note we construct a new class of superconformal field theories as mass deformed N=4 super Yang-Mills theories. We will argue that these theories correspond to the fixed points which were recently found by Khavaev, Pilch and Warner studying the deformations of the dual IIB string theory on AdS_5\times S^5.
|
1812.03751
|
Akbar Jahan
|
A. Jahan and I. Brevik
|
Casimir energy of an open string with angle-dependent boundary condition
|
12 pages, version accepted by JETP
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider an open string with ends laying on the two different solid beams
(rods). This set-up is equivalent to two scalar fields with a set of
constraints at their end-points. We calculate the zero-point energy and the
Casimir energy in three different ways: (1) by use of the Hurwitz zeta
function, (2) by employing the contour integration method in the complex
frequency plane, and (3) by constructing the Green's function for the system.
In the case of contour integration we also present a finite temperature
expression for the Casimir energy, along with a convenient analytic
approximation for high temperatures. The Casimir energy at zero temperature is
found to be a sum of the Luscher potential energy and a term depending on the
angle between the beams. The relationship of this model to an analogous open
string model with charges fixed at its ends, moving in an electromagnetic
field, is discussed.
|
[
{
"created": "Mon, 10 Dec 2018 12:20:25 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jun 2019 18:16:51 GMT",
"version": "v2"
}
] |
2019-07-02
|
[
[
"Jahan",
"A.",
""
],
[
"Brevik",
"I.",
""
]
] |
We consider an open string with ends laying on the two different solid beams (rods). This set-up is equivalent to two scalar fields with a set of constraints at their end-points. We calculate the zero-point energy and the Casimir energy in three different ways: (1) by use of the Hurwitz zeta function, (2) by employing the contour integration method in the complex frequency plane, and (3) by constructing the Green's function for the system. In the case of contour integration we also present a finite temperature expression for the Casimir energy, along with a convenient analytic approximation for high temperatures. The Casimir energy at zero temperature is found to be a sum of the Luscher potential energy and a term depending on the angle between the beams. The relationship of this model to an analogous open string model with charges fixed at its ends, moving in an electromagnetic field, is discussed.
|
1909.00742
|
Benoit Vicedo
|
Francois Delduc, Takashi Kameyama, Sylvain Lacroix, Marc Magro, Benoit
Vicedo
|
Ultralocal Lax connection for para-complex $\mathbb{Z}_T$-cosets
|
19 pages
|
Nucl. Phys. B949, (2019), 114821
|
10.1016/j.nuclphysb.2019.114821
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $\sigma$-models on para-complex $\mathbb{Z}_T$-cosets, which are
analogues of those on complex homogeneous target spaces considered recently by
D. Bykov. For these models, we show the existence of a gauge-invariant Lax
connection whose Poisson brackets are ultralocal. Furthermore, its light-cone
components commute with one another in the sense of Poisson brackets. This
extends a result of O. Brodbeck and M. Zagermann obtained twenty years ago for
hermitian symmetric spaces.
|
[
{
"created": "Mon, 2 Sep 2019 14:43:12 GMT",
"version": "v1"
}
] |
2019-11-14
|
[
[
"Delduc",
"Francois",
""
],
[
"Kameyama",
"Takashi",
""
],
[
"Lacroix",
"Sylvain",
""
],
[
"Magro",
"Marc",
""
],
[
"Vicedo",
"Benoit",
""
]
] |
We consider $\sigma$-models on para-complex $\mathbb{Z}_T$-cosets, which are analogues of those on complex homogeneous target spaces considered recently by D. Bykov. For these models, we show the existence of a gauge-invariant Lax connection whose Poisson brackets are ultralocal. Furthermore, its light-cone components commute with one another in the sense of Poisson brackets. This extends a result of O. Brodbeck and M. Zagermann obtained twenty years ago for hermitian symmetric spaces.
|
1107.3117
|
Tobias Zingg
|
Tobias Zingg
|
Thermodynamics of Dyonic Lifshitz Black Holes
|
26 pages, 4 figures
| null |
10.1007/JHEP09(2011)067
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black holes with asymptotic anisotropic scaling are conjectured to be gravity
duals of condensed matter system close to quantum critical points with
non-trivial dynamical exponent z at finite temperature. A holographic
renormalization procedure is presented that allows thermodynamic potentials to
be defined for objects with both electric and magnetic charge in such a way
that standard thermodynamic relations hold. Black holes in asymptotic Lifshitz
spacetimes can exhibit paramagnetic behavior at low temperature limit for
certain values of the critical exponent z, whereas the behavior of AdS black
holes is always diamagnetic.
|
[
{
"created": "Fri, 15 Jul 2011 18:01:09 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Zingg",
"Tobias",
""
]
] |
Black holes with asymptotic anisotropic scaling are conjectured to be gravity duals of condensed matter system close to quantum critical points with non-trivial dynamical exponent z at finite temperature. A holographic renormalization procedure is presented that allows thermodynamic potentials to be defined for objects with both electric and magnetic charge in such a way that standard thermodynamic relations hold. Black holes in asymptotic Lifshitz spacetimes can exhibit paramagnetic behavior at low temperature limit for certain values of the critical exponent z, whereas the behavior of AdS black holes is always diamagnetic.
|
1602.05959
|
Johan Bl{\aa}b\"ack
|
Iosif Bena, Johan Bl{\aa}b\"ack, David Turton
|
Loop corrections to the antibrane potential
|
27 pages, 5 figures, v2: Added clarification of statements, version
accepted for publication in JHEP
|
JHEP 1607 (2016) 132
|
10.1007/JHEP07(2016)132
|
IPHT-T16/012
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Antibranes provide some of the most generic ways to uplift Anti-de Sitter
flux compactifications to de Sitter, and there is a growing body of evidence
that antibranes placed in long warped throats such as the Klebanov-Strassler
warped deformed conifold solution have a brane-brane-repelling tachyon. This
tachyon was first found in the regime of parameters in which the backreaction
of the antibranes is large, and its existence was inferred from a highly
nontrivial cancellation of certain terms in the inter-brane potential. We use a
brane effective action approach, similar to that proposed by Michel, Mintun,
Polchinski, Puhm and Saad in arXiv:1412.5702, to analyze antibranes in
Klebanov-Strassler when their backreaction is small, and find a regime of
parameters where all perturbative contributions to the action can be computed
explicitly. We find that the cancellation found at strong coupling is also
present in the weak-coupling regime, and we establish its existence to all
loops. Our calculation indicates that the spectrum of the antibrane worldvolume
theory is not gapped, and may generically have a tachyon. Hence uplifting
mechanisms involving antibranes remain questionable even when backreaction is
small.
|
[
{
"created": "Thu, 18 Feb 2016 21:00:03 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2016 13:34:25 GMT",
"version": "v2"
}
] |
2016-08-04
|
[
[
"Bena",
"Iosif",
""
],
[
"Blåbäck",
"Johan",
""
],
[
"Turton",
"David",
""
]
] |
Antibranes provide some of the most generic ways to uplift Anti-de Sitter flux compactifications to de Sitter, and there is a growing body of evidence that antibranes placed in long warped throats such as the Klebanov-Strassler warped deformed conifold solution have a brane-brane-repelling tachyon. This tachyon was first found in the regime of parameters in which the backreaction of the antibranes is large, and its existence was inferred from a highly nontrivial cancellation of certain terms in the inter-brane potential. We use a brane effective action approach, similar to that proposed by Michel, Mintun, Polchinski, Puhm and Saad in arXiv:1412.5702, to analyze antibranes in Klebanov-Strassler when their backreaction is small, and find a regime of parameters where all perturbative contributions to the action can be computed explicitly. We find that the cancellation found at strong coupling is also present in the weak-coupling regime, and we establish its existence to all loops. Our calculation indicates that the spectrum of the antibrane worldvolume theory is not gapped, and may generically have a tachyon. Hence uplifting mechanisms involving antibranes remain questionable even when backreaction is small.
|
hep-th/9908063
|
Young-Jai Park
|
Chang-Ho Kim and Young-Jai Park
|
Consistent Superalgebraic Truncations from D=5, N=5 Supergravity
|
15 Pages
| null | null |
SOGANG-HEP 260/99
|
hep-th
| null |
We study a novel five-dimensional, {\it N}=5 supergravity in the context of
Lie superalgebra SU(5/2). The possible successive superalgebraic truncations
from {\it N}=5 theory to the lower supersymmetric {\it N}=4,3,2, and 1
supergravity theories are systematically analyzed as a sub-superalgebraic chain
of SU(5/2)$\supset$ SU(4/2) $\supset$ SU(3/2) $\supset$ SU(2/2) $\supset$
SU(1/2) by using the Kac-Dynkin weight techniques.
|
[
{
"created": "Mon, 9 Aug 1999 02:21:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kim",
"Chang-Ho",
""
],
[
"Park",
"Young-Jai",
""
]
] |
We study a novel five-dimensional, {\it N}=5 supergravity in the context of Lie superalgebra SU(5/2). The possible successive superalgebraic truncations from {\it N}=5 theory to the lower supersymmetric {\it N}=4,3,2, and 1 supergravity theories are systematically analyzed as a sub-superalgebraic chain of SU(5/2)$\supset$ SU(4/2) $\supset$ SU(3/2) $\supset$ SU(2/2) $\supset$ SU(1/2) by using the Kac-Dynkin weight techniques.
|
2203.01776
|
Francesco Toppan
|
Francesco Toppan
|
First quantization of braided Majorana fermions
|
15 pages; final version in Nucl. Phys. B; a typo in the bibliography
corrected
|
Nucl. Phys. B 980 (2022) 115834
|
10.1016/j.nuclphysb.2022.115834
|
CBPF-NF-002/22
|
hep-th cond-mat.stat-mech math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A ${\mathbb Z}_2$-graded qubit represents an even (bosonic) "vacuum state"
and an odd, excited, Majorana fermion state. The multiparticle sectors of $N$,
braided, indistinguishable Majorana fermions are constructed via first
quantization. The framework is that of a graded Hopf algebra endowed with a
braided tensor product. The Hopf algebra is ${U}({\mathfrak {gl}}(1|1))$, the
Universal Enveloping Algebra of the ${\mathfrak{gl}}(1|1)$ superalgebra. A
$4\times 4$ braiding matrix $B_t$ defines the braided tensor product. $B_t$,
which is related to the $R$-matrix of the Alexander-Conway polynomial, depends
on the braiding parameter $t$ belonging to the punctured plane ($t\in {\mathbb
C}^\ast$); the ordinary antisymmetry property of fermions is recovered for
$t=1$. For each $N$, the graded dimension $m|n$ of the graded multiparticle
Hilbert space is computed. Besides the generic case, truncations occur when $t$
coincides with certain roots of unity which appear as solutions of an ordered
set of polynomial equations. The roots of unity are organized into levels which
specify the maximal number of allowed braided Majorana fermions in a
multiparticle sector. By taking into account that the even/odd sectors in a
${\mathbb Z}_2$-graded Hilbert space are superselected, a nontrivial braiding
with $t\neq 1$ is essential to produce a nontrivial Hilbert space described by
qubits, qutrits, etc., since at $t=1$ the $N$-particle vacuum and the
antisymmetrized excited state encode the same information carried by a
classical $1$-bit.
|
[
{
"created": "Thu, 3 Mar 2022 15:43:38 GMT",
"version": "v1"
},
{
"created": "Sat, 7 May 2022 09:25:36 GMT",
"version": "v2"
},
{
"created": "Sun, 15 May 2022 20:43:03 GMT",
"version": "v3"
}
] |
2022-05-17
|
[
[
"Toppan",
"Francesco",
""
]
] |
A ${\mathbb Z}_2$-graded qubit represents an even (bosonic) "vacuum state" and an odd, excited, Majorana fermion state. The multiparticle sectors of $N$, braided, indistinguishable Majorana fermions are constructed via first quantization. The framework is that of a graded Hopf algebra endowed with a braided tensor product. The Hopf algebra is ${U}({\mathfrak {gl}}(1|1))$, the Universal Enveloping Algebra of the ${\mathfrak{gl}}(1|1)$ superalgebra. A $4\times 4$ braiding matrix $B_t$ defines the braided tensor product. $B_t$, which is related to the $R$-matrix of the Alexander-Conway polynomial, depends on the braiding parameter $t$ belonging to the punctured plane ($t\in {\mathbb C}^\ast$); the ordinary antisymmetry property of fermions is recovered for $t=1$. For each $N$, the graded dimension $m|n$ of the graded multiparticle Hilbert space is computed. Besides the generic case, truncations occur when $t$ coincides with certain roots of unity which appear as solutions of an ordered set of polynomial equations. The roots of unity are organized into levels which specify the maximal number of allowed braided Majorana fermions in a multiparticle sector. By taking into account that the even/odd sectors in a ${\mathbb Z}_2$-graded Hilbert space are superselected, a nontrivial braiding with $t\neq 1$ is essential to produce a nontrivial Hilbert space described by qubits, qutrits, etc., since at $t=1$ the $N$-particle vacuum and the antisymmetrized excited state encode the same information carried by a classical $1$-bit.
|
hep-th/0503099
|
Andelka Andrasi
|
A. Andra\v{s}i and J. C. Taylor
|
Cancellation of energy-divergences in Coulomb gauge QCD
|
8 pages, 3 figures, revised version, two references added; accepted
for publication in EPJC
|
Eur.Phys.J.C41:377-380,2005
|
10.1140/epjc/s2005-02239-4
| null |
hep-th hep-ph
| null |
In the Coulomb gauge of nonabelian gauge theories there are in general, in
individual graphs, 'energy-divergences' on integrating over the loop energy
variable for fixed loop momentum. These divergences are avoided in the
Hamiltonian, phase-space formulation. But, even in this formulation,
energy-divergences re-appear at 2-loop order. We show in an example how these
cancel between graphs as a consequence of Ward identities.
|
[
{
"created": "Fri, 11 Mar 2005 11:02:40 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2005 08:56:32 GMT",
"version": "v2"
}
] |
2011-09-13
|
[
[
"Andraši",
"A.",
""
],
[
"Taylor",
"J. C.",
""
]
] |
In the Coulomb gauge of nonabelian gauge theories there are in general, in individual graphs, 'energy-divergences' on integrating over the loop energy variable for fixed loop momentum. These divergences are avoided in the Hamiltonian, phase-space formulation. But, even in this formulation, energy-divergences re-appear at 2-loop order. We show in an example how these cancel between graphs as a consequence of Ward identities.
|
hep-th/0603229
|
Alexander Kaganovich B.
|
E. I. Guendelman and A. B. Kaganovich
|
On the Foundations of the Two Measures Field Theory
|
18 pages, contribution to the proceedings of the Albert Einstein's
Century International Conference
|
AIPConf.Proc.861:875-882,2006
|
10.1063/1.2399672
| null |
hep-th
| null |
Two Measures Field Theory (TMT) uses both the Riemannian volume element
\sqrt{-g}d^4x and a new one \Phi d^4x where the new measure of integration \Phi
can be build of four scalar fields. Arguments in favor of TMT, both from the
point of view of first principles and from the TMT results are summarized.
Possible origin of the TMT and symmetries that protect the structure of TMT are
reviewed. It appears that four measure scalar fields treated as "physical
coordinates" allow to define local observables in quantum gravity. The
resolution of the old cosmological constant problem as a possible direct
consequence of the TMT structure is discussed. Other applications of TMT to
cosmology and particle physics are also mentioned.
|
[
{
"created": "Wed, 29 Mar 2006 13:19:57 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Guendelman",
"E. I.",
""
],
[
"Kaganovich",
"A. B.",
""
]
] |
Two Measures Field Theory (TMT) uses both the Riemannian volume element \sqrt{-g}d^4x and a new one \Phi d^4x where the new measure of integration \Phi can be build of four scalar fields. Arguments in favor of TMT, both from the point of view of first principles and from the TMT results are summarized. Possible origin of the TMT and symmetries that protect the structure of TMT are reviewed. It appears that four measure scalar fields treated as "physical coordinates" allow to define local observables in quantum gravity. The resolution of the old cosmological constant problem as a possible direct consequence of the TMT structure is discussed. Other applications of TMT to cosmology and particle physics are also mentioned.
|
hep-th/9209110
|
Kim Chanju
|
Chanju Kim
|
Self-dual Vortices in the Generalized Abelian Higgs Model with
Independent Chern-Simons Interaction
|
32 pages, LATEX, SNUTP 92-79
|
Phys.Rev. D47 (1993) 673-684
|
10.1103/PhysRevD.47.673
| null |
hep-th
| null |
Self-dual vortex solutions are studied in detail in the generalized abelian
Higgs model with independent Chern-Simons interaction. For special choices of
couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a
Chern-Simons-Higgs model with two scalar fields, or other new models. We
investigate the properties of the static solutions and perform detailed
numerical analyses. For the Chern-Simons-Higgs model with two scalar fields in
an asymmetric phase, we prove the existence of multisoliton solutions which can
be viewed as hybrids of Chern-Simons vortices and $CP^1$ lumps. We also discuss
solutions in a symmetric phase with the help of the corresponding exact
solutions in its nonrelativistic limit. The model interpolating all three
models---Maxwell-Higgs, Chern-Simons-Higgs, and $CP^1$ models--- is discussed
briefly. Finally we study the possibility of vortex solutions with half-integer
vorticity in the special case of the model. Numerical results are negative.
|
[
{
"created": "Sun, 27 Sep 1992 10:38:22 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 1992 05:11:55 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Kim",
"Chanju",
""
]
] |
Self-dual vortex solutions are studied in detail in the generalized abelian Higgs model with independent Chern-Simons interaction. For special choices of couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a Chern-Simons-Higgs model with two scalar fields, or other new models. We investigate the properties of the static solutions and perform detailed numerical analyses. For the Chern-Simons-Higgs model with two scalar fields in an asymmetric phase, we prove the existence of multisoliton solutions which can be viewed as hybrids of Chern-Simons vortices and $CP^1$ lumps. We also discuss solutions in a symmetric phase with the help of the corresponding exact solutions in its nonrelativistic limit. The model interpolating all three models---Maxwell-Higgs, Chern-Simons-Higgs, and $CP^1$ models--- is discussed briefly. Finally we study the possibility of vortex solutions with half-integer vorticity in the special case of the model. Numerical results are negative.
|
hep-th/0306175
|
Ludde Edgren
|
Ludde Edgren, Niclas Sandstrom
|
Superfield algorithm for higher order gauge field theories
|
17 pages in LaTeX, improved text, published version
|
JHEP 0401 (2004) 006
|
10.1088/1126-6708/2004/01/006
| null |
hep-th
| null |
We propose an algorithm for the construction of higher order gauge field
theories from a superfield formulation within the Batalin-Vilkovisky formalism.
This is a generalization of the superfield algorithm recently considered by
Batalin and Marnelius. This generalization seems to allow for non-topological
gauge field theories as well as alternative representations of topological
ones. A five dimensional non-abelian Chern-Simons theory and a topological
Yang-Mills theory are treated as examples.
|
[
{
"created": "Wed, 18 Jun 2003 14:14:03 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2004 14:02:45 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Edgren",
"Ludde",
""
],
[
"Sandstrom",
"Niclas",
""
]
] |
We propose an algorithm for the construction of higher order gauge field theories from a superfield formulation within the Batalin-Vilkovisky formalism. This is a generalization of the superfield algorithm recently considered by Batalin and Marnelius. This generalization seems to allow for non-topological gauge field theories as well as alternative representations of topological ones. A five dimensional non-abelian Chern-Simons theory and a topological Yang-Mills theory are treated as examples.
|
1611.01810
|
Iva Lovrekovic
|
M. Irakleidou, I. Lovrekovic
|
Asymptotic symmetry algebra of conformal gravity
|
23 pages
|
Phys. Rev. D 96, 104009 (2017)
|
10.1103/PhysRevD.96.104009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute asymptotic symmetry algebras of conformal gravity. Due to more
general boundary conditions allowed in conformal gravity in comparison to those
in Einstein gravity, we can classify the corresponding algebras. The highest
algebra for non-trivial boundary conditions is five dimensional and it leads to
global geon solution with non-vanishing charges.
|
[
{
"created": "Sun, 6 Nov 2016 17:42:00 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Nov 2017 17:02:38 GMT",
"version": "v2"
}
] |
2017-11-22
|
[
[
"Irakleidou",
"M.",
""
],
[
"Lovrekovic",
"I.",
""
]
] |
We compute asymptotic symmetry algebras of conformal gravity. Due to more general boundary conditions allowed in conformal gravity in comparison to those in Einstein gravity, we can classify the corresponding algebras. The highest algebra for non-trivial boundary conditions is five dimensional and it leads to global geon solution with non-vanishing charges.
|
hep-th/0501085
|
C\'assius de Melo
|
R. Casana, C. A. M. de Melo and B. M. Pimentel
|
Scalar and Vector Massive Fields in Lyra's Manifold
|
Preprint version 7 pages. Talk presented in the Fourth International
Winter Conference on Mathematical Methods in Physics, 9 to 23 August 2004,
Rio de Janeiro, Brazil
|
PoS WC2004 (2004) 013
| null |
IFT-P.052/2004
|
hep-th gr-qc math-ph math.MP
| null |
The problem of coupling between spin and torsion is analysed from a Lyra's
manifold background for scalar and vector massive fields using the
Duffin-Kemmer-Petiau (DKP) theory. We found the propagation of the torsion is
dynamical, and the minimal coupling of DKP field corresponds to a non-minimal
coupling in the standard Klein-Gordon-Fock and Proca approaches. The origin of
this difference in the couplings is discussed in terms of equivalence by
surface terms.
|
[
{
"created": "Tue, 11 Jan 2005 23:19:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Casana",
"R.",
""
],
[
"de Melo",
"C. A. M.",
""
],
[
"Pimentel",
"B. M.",
""
]
] |
The problem of coupling between spin and torsion is analysed from a Lyra's manifold background for scalar and vector massive fields using the Duffin-Kemmer-Petiau (DKP) theory. We found the propagation of the torsion is dynamical, and the minimal coupling of DKP field corresponds to a non-minimal coupling in the standard Klein-Gordon-Fock and Proca approaches. The origin of this difference in the couplings is discussed in terms of equivalence by surface terms.
|
hep-th/9208061
| null |
P. Martin, Herbert Saleur
|
On an algebraic approach to higher dimensional statistical mechanics
|
41 pages, 13 figures (two not included)
|
Commun.Math.Phys. 158 (1993) 155-190
|
10.1007/BF02097236
| null |
hep-th nlin.SI solv-int
| null |
We study representations of Temperley-Lieb algebras associated with the
transfer matrix formulation of statistical mechanics on arbitrary lattices. We
first discuss a new hyperfinite algebra, the Diagram algebra
$D_{\underline{n}}(Q)$, which is a quotient of the Temperley-Lieb algebra
appropriate for Potts models in the mean field case, and in which the algebras
appropriate for all transverse lattice shapes $G$ appear as subalgebras. We
give the complete structure of this subalgebra in the case ${\hat A}_n$ (Potts
model on a cylinder). The study of the Full Temperley Lieb algebra of graph $G$
reveals a vast number of infinite sets of inequivalent irreducible
representations characterized by one or more (complex) parameters associated to
topological effects such as links. We give a complete classification in the
${\hat A}_n$ case where the only such effects are loops and twists.
|
[
{
"created": "Mon, 24 Aug 1992 19:41:51 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Martin",
"P.",
""
],
[
"Saleur",
"Herbert",
""
]
] |
We study representations of Temperley-Lieb algebras associated with the transfer matrix formulation of statistical mechanics on arbitrary lattices. We first discuss a new hyperfinite algebra, the Diagram algebra $D_{\underline{n}}(Q)$, which is a quotient of the Temperley-Lieb algebra appropriate for Potts models in the mean field case, and in which the algebras appropriate for all transverse lattice shapes $G$ appear as subalgebras. We give the complete structure of this subalgebra in the case ${\hat A}_n$ (Potts model on a cylinder). The study of the Full Temperley Lieb algebra of graph $G$ reveals a vast number of infinite sets of inequivalent irreducible representations characterized by one or more (complex) parameters associated to topological effects such as links. We give a complete classification in the ${\hat A}_n$ case where the only such effects are loops and twists.
|
1304.4131
|
Claude Bervillier
|
C. Bervillier
|
The Wilson exact renormalization group equation and the anomalous
dimension parameter
|
10 pages
|
Condens. Matter Phys., 2013, vol. 16, No. 2, 23003
|
10.5488/CMP.16.23003
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The non-linear way the anomalous dimension parameter has been introduced in
the historic first version of the exact renormalization group equation is
compared to current practice. A simple expression for the exactly marginal
redundant operator proceeds from this non-linearity, whereas in the linear
case, first order differential equations must be solved to get it. The role of
this operator in the construction of the flow equation is highlighted.
|
[
{
"created": "Mon, 15 Apr 2013 15:29:33 GMT",
"version": "v1"
},
{
"created": "Mon, 13 May 2013 14:35:23 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jul 2013 09:20:02 GMT",
"version": "v3"
}
] |
2013-07-09
|
[
[
"Bervillier",
"C.",
""
]
] |
The non-linear way the anomalous dimension parameter has been introduced in the historic first version of the exact renormalization group equation is compared to current practice. A simple expression for the exactly marginal redundant operator proceeds from this non-linearity, whereas in the linear case, first order differential equations must be solved to get it. The role of this operator in the construction of the flow equation is highlighted.
|
1102.4724
|
Suvrat Raju
|
Suvrat Raju
|
Recursion Relations for AdS/CFT Correlators
|
45 pages
|
Phys.Rev.D83:126002,2011
|
10.1103/PhysRevD.83.126002
|
HRI/ST/1103
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We expand on the results of arXiv:1011.0780 where we presented new recursion
relations for correlation functions of the stress tensor and conserved currents
in conformal field theories with an AdS_p dual for p > 4. These recursion
relations are derived by generalizing the Britto-Cachazo-Feng-Witten (BCFW)
relations to amplitudes in anti-de Sitter space (AdS) that are dual to boundary
correlators, and are usually computed perturbatively by Witten diagrams. Our
results relate vacuum-correlation functions to integrated products of
lower-point transition amplitudes, which correspond to correlators calculated
between states dual to certain normalizable modes. We show that the set of
polarization vectors for which amplitudes behave well under the BCFW extension
is smaller than in flat-space. We describe how transition amplitudes for more
general external polarizations can be constructed by combining answers obtained
by different pairs of BCFW shifts. We then generalize these recursion relations
to supersymmetric theories. In AdS, unlike flat-space, even maximal
supersymmetry is insufficient to permit the computation of all correlators of
operators in the same multiplet as a stress-tensor or conserved current.
Finally, we work out some simple examples to verify our results.
|
[
{
"created": "Wed, 23 Feb 2011 12:42:29 GMT",
"version": "v1"
}
] |
2011-06-13
|
[
[
"Raju",
"Suvrat",
""
]
] |
We expand on the results of arXiv:1011.0780 where we presented new recursion relations for correlation functions of the stress tensor and conserved currents in conformal field theories with an AdS_p dual for p > 4. These recursion relations are derived by generalizing the Britto-Cachazo-Feng-Witten (BCFW) relations to amplitudes in anti-de Sitter space (AdS) that are dual to boundary correlators, and are usually computed perturbatively by Witten diagrams. Our results relate vacuum-correlation functions to integrated products of lower-point transition amplitudes, which correspond to correlators calculated between states dual to certain normalizable modes. We show that the set of polarization vectors for which amplitudes behave well under the BCFW extension is smaller than in flat-space. We describe how transition amplitudes for more general external polarizations can be constructed by combining answers obtained by different pairs of BCFW shifts. We then generalize these recursion relations to supersymmetric theories. In AdS, unlike flat-space, even maximal supersymmetry is insufficient to permit the computation of all correlators of operators in the same multiplet as a stress-tensor or conserved current. Finally, we work out some simple examples to verify our results.
|
hep-th/0405227
|
Paul Koerber
|
Paul Koerber
|
Abelian and Non-abelian D-brane Effective Actions
|
Ph.D. thesis, Vrije Universiteit Brussel, 168 pages, 10 figures,
LaTeX, v2: clarification added to 3.3.2, references added, v3: metadata
change: broken link removed
|
Fortsch.Phys. 52 (2004) 871-960
|
10.1002/prop.200410171
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Ph.D. thesis we review and elaborate on a method to find the D-brane
effective action, based on BPS equations. Firstly, both for the Yang-Mills
action and the Born-Infeld action it is shown that these configurations are
indeed BPS, i.e. solutions to these equations saturate a Bogomolny bound and
leave some supersymmetry unbroken. Next, we use the BPS equations as a tool to
construct the D-brane effective action and require that (a deformation of)
these equations should still imply the equations of motion in more general
cases. In the abelian case we managed to calculate all order in $\alpha'$
four-derivative corrections to the effective action and the BPS equations while
in the non-abelian case we obtained the effective action up to order
$\alpha'^4$. Furthermore, we discuss a check based on the spectrum of strings
stretching between intersecting branes. Finally, this Ph.D. thesis also
discusses the construction of a boundary superspace which is the first step to
use the method of Weyl invariance in N=2 superspace in order to again construct
the D-brane effective action. A more detailed summary of each chapter can be
found in the introduction.
|
[
{
"created": "Tue, 25 May 2004 18:33:21 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2004 12:38:08 GMT",
"version": "v2"
},
{
"created": "Sat, 21 Nov 2015 16:52:26 GMT",
"version": "v3"
}
] |
2015-11-24
|
[
[
"Koerber",
"Paul",
""
]
] |
In this Ph.D. thesis we review and elaborate on a method to find the D-brane effective action, based on BPS equations. Firstly, both for the Yang-Mills action and the Born-Infeld action it is shown that these configurations are indeed BPS, i.e. solutions to these equations saturate a Bogomolny bound and leave some supersymmetry unbroken. Next, we use the BPS equations as a tool to construct the D-brane effective action and require that (a deformation of) these equations should still imply the equations of motion in more general cases. In the abelian case we managed to calculate all order in $\alpha'$ four-derivative corrections to the effective action and the BPS equations while in the non-abelian case we obtained the effective action up to order $\alpha'^4$. Furthermore, we discuss a check based on the spectrum of strings stretching between intersecting branes. Finally, this Ph.D. thesis also discusses the construction of a boundary superspace which is the first step to use the method of Weyl invariance in N=2 superspace in order to again construct the D-brane effective action. A more detailed summary of each chapter can be found in the introduction.
|
1902.03167
|
Omar Zanusso
|
Sebasti\'an A. Franchino-Vi\~nas, Tib\'erio de Paula Netto, Omar
Zanusso
|
Vacuum effective actions and mass-dependent renormalization in curved
space
|
26 pages, review prepared for the special issue of Universe
collecting the contributions for the workshop "Quantum Fields - from
Fundamental Concepts to Phenomenological Questions" (Mainz 26-28 September
2018), covers the results of 1803.06948 and 1812.00460
|
Universe 2019, 5(3), 67
|
10.3390/universe5030067
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review past and present results on the non-local form-factors of the
effective action of semiclassical gravity in two and four dimensions computed
by means of a covariant expansion of the heat kernel up to the second order in
the curvatures. We discuss the importance of these form-factors in the
construction of mass-dependent beta functions for the Newton's constant and the
other gravitational couplings.
|
[
{
"created": "Fri, 8 Feb 2019 16:26:18 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Mar 2019 17:23:17 GMT",
"version": "v2"
}
] |
2019-03-05
|
[
[
"Franchino-Viñas",
"Sebastián A.",
""
],
[
"Netto",
"Tibério de Paula",
""
],
[
"Zanusso",
"Omar",
""
]
] |
We review past and present results on the non-local form-factors of the effective action of semiclassical gravity in two and four dimensions computed by means of a covariant expansion of the heat kernel up to the second order in the curvatures. We discuss the importance of these form-factors in the construction of mass-dependent beta functions for the Newton's constant and the other gravitational couplings.
|
hep-th/9802200
|
Ashok Das
|
Ashok Das
|
Lightfront Hamiltonian Structures for the Nonlinear Sigma Model
|
References added, 11 pages, plain Tex
|
Mod.Phys.Lett. A13 (1998) 1133-1142
|
10.1142/S0217732398001200
| null |
hep-th
| null |
We derive the Dirac brackets for the O(N) nonlinear sigma model in the
lightfront description with and without the constraint. We bring out various
subtleties that arise including the fact that anti-periodic boundary condition
seems to be preferred.
|
[
{
"created": "Fri, 27 Feb 1998 17:16:28 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 1998 13:24:33 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Das",
"Ashok",
""
]
] |
We derive the Dirac brackets for the O(N) nonlinear sigma model in the lightfront description with and without the constraint. We bring out various subtleties that arise including the fact that anti-periodic boundary condition seems to be preferred.
|
2311.03305
|
Rajesh Karmakar
|
Rajesh Karmakar, Debaprasad Maity
|
Sonoluminescence: Photon production in time dependent analog system
|
13 pages, 7 figures
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Sonoluminescence is a well known laboratory phenomenon where an oscillating
gas bubble in the appropriate environment periodically emits a flash of light
in the visible frequency range. In this submission, we study the system in the
framework of analog gravity. We model the oscillating bubble in terms of analog
geometry and propose a non-minimal coupling prescription of the electromagnetic
field with the geometry. The geometry behaves as an analogous oscillating time
dependent background in which repeated flux of photons are produced in a wide
frequency range through parametric resonance from quantum vacuum. Due to our
numerical limitation, we could reach the frequency up to $\sim 10^5
~\mbox{m}^{-1}$. However, we numerically fit the spectrum in a polynomial form
including the observed frequency range around $\sim 10^7 ~\mbox{m}^{-1}$. Our
current analysis seems to suggest that parametric resonance in analog
background may play a fundamental role in explaining such phenomena in the
quantum field theory framework.
|
[
{
"created": "Mon, 6 Nov 2023 17:54:28 GMT",
"version": "v1"
}
] |
2023-11-07
|
[
[
"Karmakar",
"Rajesh",
""
],
[
"Maity",
"Debaprasad",
""
]
] |
Sonoluminescence is a well known laboratory phenomenon where an oscillating gas bubble in the appropriate environment periodically emits a flash of light in the visible frequency range. In this submission, we study the system in the framework of analog gravity. We model the oscillating bubble in terms of analog geometry and propose a non-minimal coupling prescription of the electromagnetic field with the geometry. The geometry behaves as an analogous oscillating time dependent background in which repeated flux of photons are produced in a wide frequency range through parametric resonance from quantum vacuum. Due to our numerical limitation, we could reach the frequency up to $\sim 10^5 ~\mbox{m}^{-1}$. However, we numerically fit the spectrum in a polynomial form including the observed frequency range around $\sim 10^7 ~\mbox{m}^{-1}$. Our current analysis seems to suggest that parametric resonance in analog background may play a fundamental role in explaining such phenomena in the quantum field theory framework.
|
hep-th/0308021
|
Emery Sokatchev
|
Sergio Ferrara and Emery Sokatchev
|
Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
|
Important change: The non-Abelian case is now covered. Some
references added
|
Phys.Lett. B579 (2004) 226-234
|
10.1016/j.physletb.2003.10.093
| null |
hep-th
| null |
We consider a non-anticommutative N=2 superspace with an SU(2) singlet and
Lorentz scalar deformation parameter, $\{\theta^{\alpha i},\theta^{\beta
j}\}_\star = -2iP \e^{\alpha\beta}\e^{ij}$. We exploit this unique feature of
the N=2 case to construct a deformation of the non-Abelian super-Yang-Mills
theory which preserves the full N=2 supersymmetry together with the SU(2) R
symmetry and Lorentz invariance. The resulting action describes a kind of
"heterotic special geometry" with antiholomorphic prepotential $\bar
f(\bar\phi) = Tr (\bar\phi^2 (1+P\bar\phi)^{-2})$.
|
[
{
"created": "Mon, 4 Aug 2003 14:35:03 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2003 15:39:02 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Ferrara",
"Sergio",
""
],
[
"Sokatchev",
"Emery",
""
]
] |
We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i},\theta^{\beta j}\}_\star = -2iP \e^{\alpha\beta}\e^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the non-Abelian super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of "heterotic special geometry" with antiholomorphic prepotential $\bar f(\bar\phi) = Tr (\bar\phi^2 (1+P\bar\phi)^{-2})$.
|
1404.5024
|
Mir Faizal
|
Mir Faizal
|
Consequences of Deformation of the Heisenberg Algebra
|
9 pages, 0 figures
|
Int. J. Geom. Meth. Mod. Phys. 12: 1550022, 2015
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we will demonstrate that like the existence of a minimum
measurable length, the existence of a maximum measurable momentum, also
influence all quantum mechanical systems. Beyond the simple one dimensional
case, the existence of a maximum momentum will induce non-local corrections to
the first quantized Hamiltonian. However, these non-local corrections can be
effectively treated as local corrections by using the theory of harmonic
extensions of functions. We will also analyses the second quantization of this
deformed first quantized theory. Finally, we will analyses the gauge symmetry
corresponding to this deformed theory.
|
[
{
"created": "Sun, 20 Apr 2014 07:19:17 GMT",
"version": "v1"
}
] |
2015-02-24
|
[
[
"Faizal",
"Mir",
""
]
] |
In this paper we will demonstrate that like the existence of a minimum measurable length, the existence of a maximum measurable momentum, also influence all quantum mechanical systems. Beyond the simple one dimensional case, the existence of a maximum momentum will induce non-local corrections to the first quantized Hamiltonian. However, these non-local corrections can be effectively treated as local corrections by using the theory of harmonic extensions of functions. We will also analyses the second quantization of this deformed first quantized theory. Finally, we will analyses the gauge symmetry corresponding to this deformed theory.
|
hep-th/9512222
| null |
Alan Kostelecky and Malcolm Perry
|
Solitonic Black Holes in Gauged N=2 Supergravity
|
accepted for publication in Physics Letters B
|
Phys.Lett.B371:191-198,1996
|
10.1016/0370-2693(95)01607-4
|
IUHET 314, September 1995
|
hep-th
| null |
A sequence of zero-temperature black-hole spacetimes with angular momentum
and electric and magnetic charges is shown to exist in gauged $N=2$
supergravity. Stability of a subset of these spacetimes is demonstrated by
saturation of the Bogomol'nyi bound arising from the supersymmetry algebra. The
mass of the resulting solitonic black holes is given in terms of the
cosmological constant and the angular momentum. We conjecture that at the
quantum level these solitons are dyons with angular momentum determined by the
electric and magnetic charges.
|
[
{
"created": "Fri, 29 Dec 1995 17:11:57 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Kostelecky",
"Alan",
""
],
[
"Perry",
"Malcolm",
""
]
] |
A sequence of zero-temperature black-hole spacetimes with angular momentum and electric and magnetic charges is shown to exist in gauged $N=2$ supergravity. Stability of a subset of these spacetimes is demonstrated by saturation of the Bogomol'nyi bound arising from the supersymmetry algebra. The mass of the resulting solitonic black holes is given in terms of the cosmological constant and the angular momentum. We conjecture that at the quantum level these solitons are dyons with angular momentum determined by the electric and magnetic charges.
|
hep-th/0309138
|
Joanna L. Karczmarek
|
Joanna L. Karczmarek and Andrew Strominger
|
Matrix Cosmology
|
21 pages, 6 figures, v2: added references, minor additions and
corrections
|
JHEP 0404:055,2004
|
10.1088/1126-6708/2004/04/055
| null |
hep-th
| null |
Exact time-dependent solutions of c=1 string theory are described using the
free fermion formulation. One such class of solutions describes draining of the
Fermi sea and has a spacetime interpretation as closed string tachyon
condensation. A second class of solutions, corresponding to droplets of Fermi
liquid orbiting in phase space, describes closed cosmologies which bounce
through singularities.
|
[
{
"created": "Mon, 15 Sep 2003 19:43:41 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Sep 2003 21:07:01 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Karczmarek",
"Joanna L.",
""
],
[
"Strominger",
"Andrew",
""
]
] |
Exact time-dependent solutions of c=1 string theory are described using the free fermion formulation. One such class of solutions describes draining of the Fermi sea and has a spacetime interpretation as closed string tachyon condensation. A second class of solutions, corresponding to droplets of Fermi liquid orbiting in phase space, describes closed cosmologies which bounce through singularities.
|
hep-th/0008046
|
Vipul Periwal
|
Vipul Periwal
|
Deformation quantization as the origin of D-brane non-Abelian degrees of
freedom
|
8 pages, RevTeX
|
JHEP 0008 (2000) 021
|
10.1088/1126-6708/2000/08/021
|
PUPT-1948
|
hep-th
| null |
I construct a map from the Grothendieck group of coherent sheaves to
$K$-homology. This results in explicit realizations of $K$-homology cycles
associated with D-brane configurations. Non-Abelian degrees of freedom arise in
this framework from the deformation quantization of $N$-tuple cycles. The large
$N$ limit of the gauge theory on D-branes wrapped on a subvariety $V$ of some
variety $X$ is geometrically interpreted as the deformation quantization of the
formal completion of $X$ along $V.$
|
[
{
"created": "Fri, 4 Aug 2000 16:48:24 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Periwal",
"Vipul",
""
]
] |
I construct a map from the Grothendieck group of coherent sheaves to $K$-homology. This results in explicit realizations of $K$-homology cycles associated with D-brane configurations. Non-Abelian degrees of freedom arise in this framework from the deformation quantization of $N$-tuple cycles. The large $N$ limit of the gauge theory on D-branes wrapped on a subvariety $V$ of some variety $X$ is geometrically interpreted as the deformation quantization of the formal completion of $X$ along $V.$
|
hep-th/0402017
|
Oleg Andreev
|
Oleg Andreev
|
A few comments on the high-energy behavior of string scattering
amplitudes in warped spacetimes
|
6 pages
|
Phys.Rev. D70 (2004) 027901
|
10.1103/PhysRevD.70.027901
|
HU Berlin-EP-04/05
|
hep-th
| null |
The high-energy behavior of string scattering in warped spacetimes is studied
to all orders in perturbation theory. If one assumes that the theory is finite,
the amplitudes exactly fall as powers of momentum.
|
[
{
"created": "Mon, 2 Feb 2004 19:01:18 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Andreev",
"Oleg",
""
]
] |
The high-energy behavior of string scattering in warped spacetimes is studied to all orders in perturbation theory. If one assumes that the theory is finite, the amplitudes exactly fall as powers of momentum.
|
hep-th/9807203
|
Andrei Smilga
|
A.V. Smilga
|
BPS and non-BPS domain walls in supersymmetric QCD
|
Invited talk at 3rd Workshop "Continuous Advances in QCD",
Minneapolis, April 16-19, 1998 and at the International Seminar "Quarks 98",
Suzdal, May 18-24, 1998. LaTeX 14 pages, 6 figures
| null | null |
NORDITA 49/98-HE
|
hep-th
| null |
We study the spectrum of the domain walls interpolating between different
chirally asymmetric vacua in supersymmetric QCD with the SU(N) gauge group and
including N-1 pairs of chiral matter multiplets in fundamental and
anti-fundamental representations. There are always "real walls" interpolating
between the chirally symmetric and a chirally asymmetric vacua which are BPS
saturated. For small enough masses, there are two different "complex" BPS wall
solutions interpolating between different chirally asymmetric vacua and two
types of "wallsome sphalerons". At some m = m_*, two BPS branches join together
and, in some interval m_* < m < m_{**}, BPS equations have no solutions, but
there are solutions to the equations of motion describing a non--BPS domain
wall and a sphaleron. For m > m_{**}, there are no complex wall solutions
whatsoever.
|
[
{
"created": "Tue, 28 Jul 1998 15:01:41 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Smilga",
"A. V.",
""
]
] |
We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(N) gauge group and including N-1 pairs of chiral matter multiplets in fundamental and anti-fundamental representations. There are always "real walls" interpolating between the chirally symmetric and a chirally asymmetric vacua which are BPS saturated. For small enough masses, there are two different "complex" BPS wall solutions interpolating between different chirally asymmetric vacua and two types of "wallsome sphalerons". At some m = m_*, two BPS branches join together and, in some interval m_* < m < m_{**}, BPS equations have no solutions, but there are solutions to the equations of motion describing a non--BPS domain wall and a sphaleron. For m > m_{**}, there are no complex wall solutions whatsoever.
|
2005.10168
|
Dibya Chakraborty
|
Bruno Valeixo Bento, Dibya Chakraborty, Susha L. Parameswaran, Ivonne
Zavala
|
Dark Energy in String Theory
|
23 pages, 4 figures, 3 tables, contribution to the proceedings of the
Corfu Summer Institute 2019 "School and Workshops on Elementary Particle
Physics and Gravity (CORFU2019)", includes work published in arXiv:1810.08634
(Olguin-Trejo, SLP, Tasinato, IZ) and arXiv:1907.10141 (Hardy, SLP), and some
new results
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
We consider various candidates for Dark Energy, motivated by string theory.
Several no-go theorems push de Sitter string vacua, with $w=-1$, to the limits
of theoretical control, and all known examples depend on a delicate interplay
between different string theoretic ingredients. On the other hand, runaway
moduli directions are ubiquitous in string theory, and could plausibly source
slow-roll quintessence. We consider various candidate supergravity potentials,
motivated by string theory, including single-field K\"ahler potentials for bulk
and local moduli, and leading superpotentials of the form $W = W_0 + A e^{-a
\Phi}$ or $W = W_0 + A \Phi^p$. Conditions on the scalar potential imposed by
supergravity are very restrictive, ruling out e.g. quintessence with
$K=-n\ln(\Phi+\bar{\Phi})$ and $W = W_0+A \Phi^p$. Out of the examples
considered, one can simultaneously satisfy $V>0$ and $\epsilon_V<1$ only for a
deformation-like modulus with $K = k_0 + \frac{|\Phi|^{2n}}{k1}$ and a blow-up
like modulus with $K=k_0 +\frac{(\Phi+\bar{\Phi})^{2n}}{k_1}$ when the leading
order in the perturbative superpotential, $p$, is equal to $n$. We also review
the scenario of Thermal Dark Energy, where thermal effects in a light hidden
sector hold a scalar field up away from the minimum of its zero-temperature
potential. This provides a viable model of Dark Energy with $w=-1$, consistent
with known swampland conjectures, and motivates further early Thermal Dark
Energy epochs with potentially observable consequences.
|
[
{
"created": "Wed, 20 May 2020 16:21:53 GMT",
"version": "v1"
}
] |
2020-05-21
|
[
[
"Bento",
"Bruno Valeixo",
""
],
[
"Chakraborty",
"Dibya",
""
],
[
"Parameswaran",
"Susha L.",
""
],
[
"Zavala",
"Ivonne",
""
]
] |
We consider various candidates for Dark Energy, motivated by string theory. Several no-go theorems push de Sitter string vacua, with $w=-1$, to the limits of theoretical control, and all known examples depend on a delicate interplay between different string theoretic ingredients. On the other hand, runaway moduli directions are ubiquitous in string theory, and could plausibly source slow-roll quintessence. We consider various candidate supergravity potentials, motivated by string theory, including single-field K\"ahler potentials for bulk and local moduli, and leading superpotentials of the form $W = W_0 + A e^{-a \Phi}$ or $W = W_0 + A \Phi^p$. Conditions on the scalar potential imposed by supergravity are very restrictive, ruling out e.g. quintessence with $K=-n\ln(\Phi+\bar{\Phi})$ and $W = W_0+A \Phi^p$. Out of the examples considered, one can simultaneously satisfy $V>0$ and $\epsilon_V<1$ only for a deformation-like modulus with $K = k_0 + \frac{|\Phi|^{2n}}{k1}$ and a blow-up like modulus with $K=k_0 +\frac{(\Phi+\bar{\Phi})^{2n}}{k_1}$ when the leading order in the perturbative superpotential, $p$, is equal to $n$. We also review the scenario of Thermal Dark Energy, where thermal effects in a light hidden sector hold a scalar field up away from the minimum of its zero-temperature potential. This provides a viable model of Dark Energy with $w=-1$, consistent with known swampland conjectures, and motivates further early Thermal Dark Energy epochs with potentially observable consequences.
|
hep-th/9412185
| null |
Daniel Kastler, Thomas Schucker (Marseille)
|
The Standard Model a la Connes-Lott
|
20 pages, LaTeX
|
J.Geom.Phys. 24 (1997) 1-19
|
10.1016/S0393-0440(96)00031-9
|
CPT-94/P.3091
|
hep-th
| null |
The relations among coupling constants and masses in the standard model \`a
la Connes-Lott with general scalar product are computed in detail. We find a
relation between the top and the Higgs masses. For $m_t=174\pm22\ GeV$ it
yields $m_H=277\pm40\ GeV$. The Connes-Lott theory privileges the masses
$m_t=160.4\ GeV$ and $m_H=251.8\ GeV$.
|
[
{
"created": "Wed, 21 Dec 1994 17:09:08 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Kastler",
"Daniel",
"",
"Marseille"
],
[
"Schucker",
"Thomas",
"",
"Marseille"
]
] |
The relations among coupling constants and masses in the standard model \`a la Connes-Lott with general scalar product are computed in detail. We find a relation between the top and the Higgs masses. For $m_t=174\pm22\ GeV$ it yields $m_H=277\pm40\ GeV$. The Connes-Lott theory privileges the masses $m_t=160.4\ GeV$ and $m_H=251.8\ GeV$.
|
1310.4709
|
Stanislaw Mrowczynski
|
Alina Czajka and Stanislaw Mrowczynski
|
Super Yang-Mills Plasma
|
8 pages; presented at XXXI Max Born Symposium and HIC for FAIR
Workshop `Three Days of Critical Behaviour in Hot and Dense QCD', Wroclaw,
Poland, June 14-16, 2013; a reference added
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The N = 4 super Yang-Mills plasma is studied in the regime of weak coupling.
Collective excitations and collisional processes are discussed and compared to
those of QCD plasma. The two systems are concluded to be very similar to each
other with the differences mostly reflecting different numbers of degrees of
freedom.
|
[
{
"created": "Thu, 17 Oct 2013 14:19:40 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Oct 2013 19:43:19 GMT",
"version": "v2"
}
] |
2013-10-28
|
[
[
"Czajka",
"Alina",
""
],
[
"Mrowczynski",
"Stanislaw",
""
]
] |
The N = 4 super Yang-Mills plasma is studied in the regime of weak coupling. Collective excitations and collisional processes are discussed and compared to those of QCD plasma. The two systems are concluded to be very similar to each other with the differences mostly reflecting different numbers of degrees of freedom.
|
1901.10538
|
Sunandan Gangopadhyay
|
Diganto Parai, Sunandan Gangopadhyay, Debabrata Ghorai
|
Holographic insulator/superconductor phase transition in higher
dimensional Gauss-Bonnet gravity
|
10 pages Latex
|
Annals Physics 403 (2019) 59-67
|
10.1016/j.aop.2019.02.006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we have analytically investigated the insulator/superconductor
phase transition in the presence of $d$-dimensional Gauss-Bonnet AdS soliton
background. Using the Sturm-Liouville eigenvalue method, we have calculated the
value of the critical chemical potential $\mu_c$ in any arbitrary dimension
$d\geq 5$. We have then studied the condensation operator values and charge
density in terms of the chemical potential and discussed the $d=5, 6, 7$ cases
using our general results in $d$ dimensions. Our analytical results agree very
well with the numerically findings in the literature.
|
[
{
"created": "Sat, 12 Jan 2019 05:06:06 GMT",
"version": "v1"
}
] |
2019-02-26
|
[
[
"Parai",
"Diganto",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Ghorai",
"Debabrata",
""
]
] |
In this work, we have analytically investigated the insulator/superconductor phase transition in the presence of $d$-dimensional Gauss-Bonnet AdS soliton background. Using the Sturm-Liouville eigenvalue method, we have calculated the value of the critical chemical potential $\mu_c$ in any arbitrary dimension $d\geq 5$. We have then studied the condensation operator values and charge density in terms of the chemical potential and discussed the $d=5, 6, 7$ cases using our general results in $d$ dimensions. Our analytical results agree very well with the numerically findings in the literature.
|
hep-th/0405221
|
Eve Mariel Santangelo
|
C.G. Beneventano and E.M. Santangelo
|
Spectral functions of the Dirac operator under local boundary conditions
| null |
Mathematical Physics Frontiers, Nova Publishers, Hauppage, NY
(2004)
| null | null |
hep-th
| null |
After a brief discussion of elliptic boundary problems and their properties,
we concentrate on a particular example: the Euclidean Dirac operator in two
dimensions, with its domain determined by local boundary conditions. We discuss
the meromorphic structure of the zeta function of the associated second order
problem, as well as the main characteristic of the first order problem, i.e.,
the boundary contribution to the spectral asymmetry, as defined through the eta
function.
|
[
{
"created": "Tue, 25 May 2004 13:56:39 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Beneventano",
"C. G.",
""
],
[
"Santangelo",
"E. M.",
""
]
] |
After a brief discussion of elliptic boundary problems and their properties, we concentrate on a particular example: the Euclidean Dirac operator in two dimensions, with its domain determined by local boundary conditions. We discuss the meromorphic structure of the zeta function of the associated second order problem, as well as the main characteristic of the first order problem, i.e., the boundary contribution to the spectral asymmetry, as defined through the eta function.
|
1403.2429
|
Nathan Berkovits
|
Nathan Berkovits and Osvaldo Chandia
|
Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring
Background
|
12 pages harvmac tex
| null |
10.1007/JHEP06(2014)001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the RNS-like fermionic vector variables introduced in arXiv:1305.0693,
the pure spinor $b$ ghost in a curved heterotic superstring background is
easily constructed. This construction simplifies and completes the $b$ ghost
construction in a curved background of arXiv:1311.7012.
|
[
{
"created": "Mon, 10 Mar 2014 22:14:49 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Berkovits",
"Nathan",
""
],
[
"Chandia",
"Osvaldo",
""
]
] |
Using the RNS-like fermionic vector variables introduced in arXiv:1305.0693, the pure spinor $b$ ghost in a curved heterotic superstring background is easily constructed. This construction simplifies and completes the $b$ ghost construction in a curved background of arXiv:1311.7012.
|
1806.05213
|
Grzegorz Plewa
|
Grzegorz Plewa
|
Quantum harmonic oscillator, entanglement in the vacuum and its
geometric interpretation
|
One subsection removed, more detailed analysis of results, corrected
typos
|
Journal of Physics A: Mathematical and Theoretical, 52 (2019)
375401
|
10.1088/1751-8121/ab1eb8
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by ER=EPR conjecture we present a mathematical tool providing a link
between quantum entanglement and the geometry of spacetime. We start with the
idea of operators in extended Hilbert space which, by definition, has no
positive definite scalar product. Adopting several simple postulates we show
that a quantum harmonic oscillator can be constructed as a positive definite
sector in that space. We discuss the two-dimensional oscillator constructed in
such a way that the ground state is maximally entangled. Being a vector in the
Hilbert space, it has also a non-trivial expansion in a bigger extended space.
On one hand, the space is not free of negative norm states. On the other hand,
it allows one to interpret the ground state geometrically in terms of $AdS_3$.
The interpretation is based solely on the form of the expansion, revealing
certain structures at the boundary and in the bulk of $AdS_3$. The former
correspond to world lines of massless particles at the boundary. The latter
resemble interacting closed strings.
|
[
{
"created": "Tue, 12 Jun 2018 16:04:07 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jul 2018 11:23:50 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Nov 2018 13:39:43 GMT",
"version": "v3"
},
{
"created": "Thu, 29 Aug 2019 13:45:53 GMT",
"version": "v4"
}
] |
2019-08-30
|
[
[
"Plewa",
"Grzegorz",
""
]
] |
Inspired by ER=EPR conjecture we present a mathematical tool providing a link between quantum entanglement and the geometry of spacetime. We start with the idea of operators in extended Hilbert space which, by definition, has no positive definite scalar product. Adopting several simple postulates we show that a quantum harmonic oscillator can be constructed as a positive definite sector in that space. We discuss the two-dimensional oscillator constructed in such a way that the ground state is maximally entangled. Being a vector in the Hilbert space, it has also a non-trivial expansion in a bigger extended space. On one hand, the space is not free of negative norm states. On the other hand, it allows one to interpret the ground state geometrically in terms of $AdS_3$. The interpretation is based solely on the form of the expansion, revealing certain structures at the boundary and in the bulk of $AdS_3$. The former correspond to world lines of massless particles at the boundary. The latter resemble interacting closed strings.
|
1001.0062
|
Dmitriy Ponomarev
|
D.S. Ponomarev and M.A. Vasiliev
|
Frame-Like Action and Unfolded Formulation for Massive Higher-Spin
Fields
|
36 pages, 3 figures; added references, corrected typos, minor
changes.
|
Nucl.Phys.B839:466-498,2010
|
10.1016/j.nuclphysb.2010.06.007
|
FIAN/TD/29-09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Unfolded equations of motion for symmetric massive bosonic fields of any spin
in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action
for a spin $s \ge 2$ massive field in any dimension is constructed in terms of
gauge invariant curvatures.
|
[
{
"created": "Thu, 31 Dec 2009 02:01:36 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Apr 2010 11:12:09 GMT",
"version": "v2"
}
] |
2011-09-07
|
[
[
"Ponomarev",
"D. S.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] |
Unfolded equations of motion for symmetric massive bosonic fields of any spin in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action for a spin $s \ge 2$ massive field in any dimension is constructed in terms of gauge invariant curvatures.
|
hep-th/0304038
|
Rui Neves
|
Rui Neves and Cenalo Vaz
|
Inhomogeneous Dark Radiation Dynamics on a de Sitter Brane
|
6 pages, LaTeX, 1 EPS figure. Talk given at the Workshop The
Cosmology of Extra Dimensions and Varying Fundamental Constants of the
Conference JENAM 2002, The Unsolved Universe: Challenges for the Future, 2-7
September 2002, Porto, Portugal
|
Astrophys.Space Sci. 283 (2003) 537-542
|
10.1023/A:1022533524191
| null |
hep-th
| null |
Assuming spherical symmetry we analyse the dynamics of an inhomogeneous dark
radiation vaccum on a Randall and Sundrum 3-brane world. Under certain natural
conditions we show that the effective Einstein equations on the brane form a
closed system. On a de Sitter brane and for negative dark energy density we
determine exact dynamical and inhomogeneous solutions which depend on the brane
cosmological constant, on the dark radiation tidal charge and on its initial
configuration. We also identify the conditions leading to the formation of a
singularity or of regular bounces inside the dark radiation vaccum.
|
[
{
"created": "Fri, 4 Apr 2003 14:13:16 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Neves",
"Rui",
""
],
[
"Vaz",
"Cenalo",
""
]
] |
Assuming spherical symmetry we analyse the dynamics of an inhomogeneous dark radiation vaccum on a Randall and Sundrum 3-brane world. Under certain natural conditions we show that the effective Einstein equations on the brane form a closed system. On a de Sitter brane and for negative dark energy density we determine exact dynamical and inhomogeneous solutions which depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial configuration. We also identify the conditions leading to the formation of a singularity or of regular bounces inside the dark radiation vaccum.
|
1410.3565
|
Mikhail Plyushchay
|
Adrian Arancibia, Francisco Correa, Vit Jakubsky, Juan Mateos
Guilarte, Mikhail S. Plyushchay
|
Soliton defects in one-gap periodic system and exotic supersymmetry
|
44 pages, 11 figures; comments and refs added, version to appear in
Phys. Rev. D
|
Phys. Rev. D 90, 125041 (2014)
|
10.1103/PhysRevD.90.125041
| null |
hep-th math-ph math.MP nlin.SI quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By applying Darboux-Crum transformations to the quantum one-gap Lame system,
we introduce an arbitrary countable number of bound states into forbidden
bands. The perturbed potentials are reflectionless and contain two types of
soliton defects in the periodic background. The bound states with finite number
of nodes are supported in the lower forbidden band by the periodicity defects
of the potential well type, while the pulse type bound states in the gap have
infinite number of nodes and are trapped by defects of the compression
modulations nature. We investigate the exotic nonlinear N=4 supersymmetric
structure in such paired Schrodinger systems, which extends an ordinary N=2
supersymmetry and involves two bosonic generators composed from Lax-Novikov
integrals of the subsystems. One of the bosonic integrals has a nature of a
central charge, and allows us to liaise the obtained systems with the
stationary equations of the Korteweg-de Vries and modified Korteweg-de Vries
hierarchies. This exotic supersymmetry opens the way for the construction of
self-consistent condensates based on the Bogoliubov-de Gennes equations and
associated with them new solutions to the Gross-Neveu model. They correspond to
the kink or kink-antikink defects of the crystalline background in dependence
on whether the exotic supersymmetry is unbroken or spontaneously broken.
|
[
{
"created": "Tue, 14 Oct 2014 04:01:17 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Oct 2014 17:10:24 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Nov 2014 02:38:49 GMT",
"version": "v3"
}
] |
2015-01-07
|
[
[
"Arancibia",
"Adrian",
""
],
[
"Correa",
"Francisco",
""
],
[
"Jakubsky",
"Vit",
""
],
[
"Guilarte",
"Juan Mateos",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
By applying Darboux-Crum transformations to the quantum one-gap Lame system, we introduce an arbitrary countable number of bound states into forbidden bands. The perturbed potentials are reflectionless and contain two types of soliton defects in the periodic background. The bound states with finite number of nodes are supported in the lower forbidden band by the periodicity defects of the potential well type, while the pulse type bound states in the gap have infinite number of nodes and are trapped by defects of the compression modulations nature. We investigate the exotic nonlinear N=4 supersymmetric structure in such paired Schrodinger systems, which extends an ordinary N=2 supersymmetry and involves two bosonic generators composed from Lax-Novikov integrals of the subsystems. One of the bosonic integrals has a nature of a central charge, and allows us to liaise the obtained systems with the stationary equations of the Korteweg-de Vries and modified Korteweg-de Vries hierarchies. This exotic supersymmetry opens the way for the construction of self-consistent condensates based on the Bogoliubov-de Gennes equations and associated with them new solutions to the Gross-Neveu model. They correspond to the kink or kink-antikink defects of the crystalline background in dependence on whether the exotic supersymmetry is unbroken or spontaneously broken.
|
hep-th/9711013
|
Cumrun Vafa
|
N.C. Leung and C. Vafa
|
Branes and Toric Geometry
|
30 pages, 17 figures, references added
|
Adv.Theor.Math.Phys.2:91-118,1998
| null |
HUTP-97/A090
|
hep-th
| null |
We show that toric geometry can be used rather effectively to translate a
brane configuration to geometry. Roughly speaking the skeletons of toric space
are identified with the brane configurations. The cases where the local
geometry involves hypersurfaces in toric varieties (such as P^2 blown up at
more than 3 points) presents a challenge for the brane picture. We also find a
simple physical explanation of Batyrev's construction of mirror pairs of
Calabi-Yau manifolds using T-duality.
|
[
{
"created": "Mon, 3 Nov 1997 20:52:36 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Nov 1997 17:30:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Leung",
"N. C.",
""
],
[
"Vafa",
"C.",
""
]
] |
We show that toric geometry can be used rather effectively to translate a brane configuration to geometry. Roughly speaking the skeletons of toric space are identified with the brane configurations. The cases where the local geometry involves hypersurfaces in toric varieties (such as P^2 blown up at more than 3 points) presents a challenge for the brane picture. We also find a simple physical explanation of Batyrev's construction of mirror pairs of Calabi-Yau manifolds using T-duality.
|
2311.14369
|
Jarah Evslin
|
Jarah Evslin and Hui Liu
|
Elastic Kink-Meson Scattering
|
18 pages, 5 PDF figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In classical field theory, radiation does not reflect off of reflectionless
kinks. In quantum field theory, radiation quanta, called mesons, can be
reflected. We provide a general analytical formula for the leading order
amplitude and probability for the elastic scattering of mesons off of
reflectionless quantum kinks. In the case of the Sine-Gordon model we verify
that, due to a cancellation of six contributing processes, our general formula
yields an amplitude of zero, as is required by integrability.
|
[
{
"created": "Fri, 24 Nov 2023 09:32:49 GMT",
"version": "v1"
}
] |
2023-11-27
|
[
[
"Evslin",
"Jarah",
""
],
[
"Liu",
"Hui",
""
]
] |
In classical field theory, radiation does not reflect off of reflectionless kinks. In quantum field theory, radiation quanta, called mesons, can be reflected. We provide a general analytical formula for the leading order amplitude and probability for the elastic scattering of mesons off of reflectionless quantum kinks. In the case of the Sine-Gordon model we verify that, due to a cancellation of six contributing processes, our general formula yields an amplitude of zero, as is required by integrability.
|
1503.02015
|
In Yong Park
|
I. Y. Park
|
Foliation, jet bundle and quantization of Einstein gravity
|
34 pages, 3 figures, sections restructured and two appendices added,
comments on loop quantum gravity added, refs added, version to appear in
Frontiers in Physics
|
Front.in Phys. 4 (2016) 25
|
10.3389/fphy.2016.00025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In \cite{Park:2014tia} we proposed a way of quantizing gravity with the
Hamiltonian and Lagrangian analyses in the ADM setup. One of the key
observations was that the physical configuration space of the 4D
Einstein-Hilbert action admits a three-dimensional description, thereby making
gravity renormalization possible through a metric field redefinition.
Subsequently, a more mathematical and complementary picture of the reduction
based on foliation theory was presented in \cite{Park:2014qoa}. With the setup
of foliation the physical degrees of freedom have been identified with a
certain leaf. Here we expand the work of \cite{Park:2014qoa} by adding another
mathematical ingredient - an element of jet bundle theory. With the
introduction of the jet bundle, the procedure of identifying the true degrees
of freedom outlined therein is made precise and the whole picture of the
reduction is put on firm mathematical ground.
|
[
{
"created": "Fri, 6 Mar 2015 17:07:02 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Mar 2015 14:21:25 GMT",
"version": "v2"
},
{
"created": "Sat, 21 May 2016 19:14:44 GMT",
"version": "v3"
}
] |
2016-06-29
|
[
[
"Park",
"I. Y.",
""
]
] |
In \cite{Park:2014tia} we proposed a way of quantizing gravity with the Hamiltonian and Lagrangian analyses in the ADM setup. One of the key observations was that the physical configuration space of the 4D Einstein-Hilbert action admits a three-dimensional description, thereby making gravity renormalization possible through a metric field redefinition. Subsequently, a more mathematical and complementary picture of the reduction based on foliation theory was presented in \cite{Park:2014qoa}. With the setup of foliation the physical degrees of freedom have been identified with a certain leaf. Here we expand the work of \cite{Park:2014qoa} by adding another mathematical ingredient - an element of jet bundle theory. With the introduction of the jet bundle, the procedure of identifying the true degrees of freedom outlined therein is made precise and the whole picture of the reduction is put on firm mathematical ground.
|
1904.06344
|
Timo Weigand
|
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand
|
Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields
|
30 pages, 1 figure; v2: cosmetic changes and minor comments added
| null | null |
CERN-TH-2019-044
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We systematically analyse weak coupling limits for 2-form tensor fields in
the presence of gravity. Such limits are significant for testing various
versions of the Weak Gravity and Swampland Distance Conjectures, and more
broadly, the phenomenon of emergence. The weak coupling limits for 2-forms
correspond to certain infinite-distance limits in the moduli space of string
compactifications, where asymptotically tensionless, solitonic strings arise.
These strings are identified as weakly coupled fundamental strings in a dual
frame, which makes the idea of emergence manifest. Concretely we first consider
weakly coupled tensor fields in six-dimensional compactifications of F-theory,
where the arising tensionless strings play the role of dual weakly coupled
heterotic strings. As the main part of this work, we consider certain infinite
distance limits of Type IIB strings on K3 surfaces, for which we show that the
asymptotically tensionless strings describe dual fundamental Type IIB strings,
again on K3 surfaces. By contrast the analogous weak coupling limits of
M-theory compactifications are found to correspond to an F-theory limit where
an extra dimension emerges rather than tensionless strings. We comment on
extensions of our findings to four-dimensional compactifications.
|
[
{
"created": "Fri, 12 Apr 2019 17:55:32 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2019 17:15:22 GMT",
"version": "v2"
}
] |
2019-07-04
|
[
[
"Lee",
"Seung-Joo",
""
],
[
"Lerche",
"Wolfgang",
""
],
[
"Weigand",
"Timo",
""
]
] |
We systematically analyse weak coupling limits for 2-form tensor fields in the presence of gravity. Such limits are significant for testing various versions of the Weak Gravity and Swampland Distance Conjectures, and more broadly, the phenomenon of emergence. The weak coupling limits for 2-forms correspond to certain infinite-distance limits in the moduli space of string compactifications, where asymptotically tensionless, solitonic strings arise. These strings are identified as weakly coupled fundamental strings in a dual frame, which makes the idea of emergence manifest. Concretely we first consider weakly coupled tensor fields in six-dimensional compactifications of F-theory, where the arising tensionless strings play the role of dual weakly coupled heterotic strings. As the main part of this work, we consider certain infinite distance limits of Type IIB strings on K3 surfaces, for which we show that the asymptotically tensionless strings describe dual fundamental Type IIB strings, again on K3 surfaces. By contrast the analogous weak coupling limits of M-theory compactifications are found to correspond to an F-theory limit where an extra dimension emerges rather than tensionless strings. We comment on extensions of our findings to four-dimensional compactifications.
|
hep-th/9802134
|
Vladimir Shevchenko
|
V.I.Shevchenko, Yu.A.Simonov (ITEP)
|
Generalized Coordinate Gauge and Nonabelian Stokes Theorem
|
LaTeX, revised version, comments added
| null | null |
ITEP-PH-04-98
|
hep-th
| null |
A contour gauge of general type is analysed where 1-form (vector potential)
is expressed as a contour integral of the 2-form (field strength) along an
arbitrary contour $C$. For a special class of contours the gauge condition
reduces to $k_{\mu}(x) A_{\mu}(x) = 0 $ where $k_{\mu}(x)$ is a tangent vector
to the contour $C$. A simple proof of the nonabelian Stokes theorem is given
demonstrating the advantage of the gauge.
|
[
{
"created": "Thu, 19 Feb 1998 17:36:05 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 1998 16:45:17 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Mar 1998 12:33:32 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Shevchenko",
"V. I.",
"",
"ITEP"
],
[
"Simonov",
"Yu. A.",
"",
"ITEP"
]
] |
A contour gauge of general type is analysed where 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an arbitrary contour $C$. For a special class of contours the gauge condition reduces to $k_{\mu}(x) A_{\mu}(x) = 0 $ where $k_{\mu}(x)$ is a tangent vector to the contour $C$. A simple proof of the nonabelian Stokes theorem is given demonstrating the advantage of the gauge.
|
1112.1709
|
Djordje Minic
|
Djordje Minic and J. J. Heremans
|
Gravitationally dressed Fermi Liquids, Quasiunparticles and High Tc
Superconductivity
|
10 pages. arXiv admin note: text overlap with arXiv:0804.2880
| null | null | null |
hep-th cond-mat.str-el cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We clarify the new concept of gravitationally dressed Fermi liquids we have
proposed to describe the normal state of high Tc superconductors. In this note
we distinguish between weakly gravitationally dressed Fermi liquids which fall
in the class of the canonical Fermi liquid theory (with quasiparticle
excitations), and strongly gravitationally dressed Fermi liquids (with
quasiunparticle excitations) which represent the high dimensional
generalization of Luttinger liquids, with specific features. Such weakly or
strongly gravitationally dressed Fermi liquids lead naturally to the previously
proposed effective (weak or strong) gravitationally dressed Landau-Ginsburg
description of either ordinary or high Tc superconductors.
|
[
{
"created": "Wed, 7 Dec 2011 21:16:03 GMT",
"version": "v1"
}
] |
2011-12-09
|
[
[
"Minic",
"Djordje",
""
],
[
"Heremans",
"J. J.",
""
]
] |
We clarify the new concept of gravitationally dressed Fermi liquids we have proposed to describe the normal state of high Tc superconductors. In this note we distinguish between weakly gravitationally dressed Fermi liquids which fall in the class of the canonical Fermi liquid theory (with quasiparticle excitations), and strongly gravitationally dressed Fermi liquids (with quasiunparticle excitations) which represent the high dimensional generalization of Luttinger liquids, with specific features. Such weakly or strongly gravitationally dressed Fermi liquids lead naturally to the previously proposed effective (weak or strong) gravitationally dressed Landau-Ginsburg description of either ordinary or high Tc superconductors.
|
hep-th/0004203
|
Pasquale Sodano
|
F.Berruto, M.C. Diamantini, P. Sodano
|
On Pure Lattice Chern-Simons Gauge Theories
|
6 pages, no figures, latex, some misprints and one reference
corrected, to appear in Phys. Lett. B
|
Phys.Lett. B487 (2000) 366-370
|
10.1016/S0370-2693(00)00803-0
|
DFUPG-19-00
|
hep-th hep-lat
| null |
We revisit the lattice formulation of the Abelian Chern-Simons model defined
on an infinite Euclidean lattice. We point out that any gauge invariant, local
and parity odd Abelian quadratic form exhibits, in addition to the zero
eigenvalue associated with the gauge invariance and to the physical zero mode
at p=0 due to traslational invariance, a set of extra zero eigenvalues inside
the Brillouin zone. For the Abelian Chern-Simons theory, which is linear in the
derivative, this proliferation of zero modes is reminiscent of the
Nielsen-Ninomiya no-go theorem for fermions. A gauge invariant, local and
parity even term such as the Maxwell action leads to the elimination of the
extra zeros by opening a gap with a mechanism similar to that leading to Wilson
fermions on the lattice.
|
[
{
"created": "Fri, 28 Apr 2000 13:20:21 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jul 2000 18:33:52 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jul 2000 11:32:09 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Berruto",
"F.",
""
],
[
"Diamantini",
"M. C.",
""
],
[
"Sodano",
"P.",
""
]
] |
We revisit the lattice formulation of the Abelian Chern-Simons model defined on an infinite Euclidean lattice. We point out that any gauge invariant, local and parity odd Abelian quadratic form exhibits, in addition to the zero eigenvalue associated with the gauge invariance and to the physical zero mode at p=0 due to traslational invariance, a set of extra zero eigenvalues inside the Brillouin zone. For the Abelian Chern-Simons theory, which is linear in the derivative, this proliferation of zero modes is reminiscent of the Nielsen-Ninomiya no-go theorem for fermions. A gauge invariant, local and parity even term such as the Maxwell action leads to the elimination of the extra zeros by opening a gap with a mechanism similar to that leading to Wilson fermions on the lattice.
|
1211.1017
|
Patrick K. S. Vaudrevange
|
Pascal Anastasopoulos, Mirjam Cvetic, Robert Richter, Patrick K.S.
Vaudrevange
|
String Constraints on Discrete Symmetries in MSSM Type II Quivers
|
32 pages, v2: minor changes, references added
| null |
10.1007/JHEP03(2013)011
|
DESY-12-182, TUW-12-32, UPR-1245-T, ZMP-HH/12-21
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the presence of discrete gauge symmetries in D-brane semi-realistic
compactifications. After establishing the constraints on the transformation
behaviour of the chiral matter for the presence of a discrete gauge symmetry we
perform a systematic search for discrete gauge symmetries within local
semi-realistic D-brane realizations, based on four D-brane stacks, of the MSSM
and the MSSM with three right-handed neutrinos. The systematic search reveals
that Proton hexality, a discrete symmetry which ensures the absence of R-parity
violating terms as well as the absence of dangerous dimension 5 proton decay
operators, is only rarely realized. Moreover, none of the semi-realistic local
D-brane configurations exhibit any family dependent discrete gauge symmetry.
|
[
{
"created": "Mon, 5 Nov 2012 21:00:02 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2012 13:00:43 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Anastasopoulos",
"Pascal",
""
],
[
"Cvetic",
"Mirjam",
""
],
[
"Richter",
"Robert",
""
],
[
"Vaudrevange",
"Patrick K. S.",
""
]
] |
We study the presence of discrete gauge symmetries in D-brane semi-realistic compactifications. After establishing the constraints on the transformation behaviour of the chiral matter for the presence of a discrete gauge symmetry we perform a systematic search for discrete gauge symmetries within local semi-realistic D-brane realizations, based on four D-brane stacks, of the MSSM and the MSSM with three right-handed neutrinos. The systematic search reveals that Proton hexality, a discrete symmetry which ensures the absence of R-parity violating terms as well as the absence of dangerous dimension 5 proton decay operators, is only rarely realized. Moreover, none of the semi-realistic local D-brane configurations exhibit any family dependent discrete gauge symmetry.
|
1310.1458
|
Edwin J. Son
|
Wontae Kim and Edwin J. Son
|
Freely Falling Observer and Black Hole Radiation
|
10 pages, 1 figure, version published in MPLA
|
Mod. Phys. Lett. A, Vol. 29, No. 11 (2014) 1450052
|
10.1142/S0217732314500527
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find radiation in an infalling frame and present an explicit analytic
evidence of the failure of no drama condition by showing that an infalling
observer finds an infinite negative energy density at the event horizon. The
negative and positive energy density regions are divided by the newly defined
zero-energy curve. The evaporating black hole is surrounded by the negative
energy which can also be observed in the infalling frame.
|
[
{
"created": "Sat, 5 Oct 2013 09:26:43 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Oct 2013 00:20:58 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Jan 2014 02:43:37 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Apr 2014 02:22:21 GMT",
"version": "v4"
}
] |
2014-04-02
|
[
[
"Kim",
"Wontae",
""
],
[
"Son",
"Edwin J.",
""
]
] |
We find radiation in an infalling frame and present an explicit analytic evidence of the failure of no drama condition by showing that an infalling observer finds an infinite negative energy density at the event horizon. The negative and positive energy density regions are divided by the newly defined zero-energy curve. The evaporating black hole is surrounded by the negative energy which can also be observed in the infalling frame.
|
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