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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0911.4343
|
Qasem Exirifard
|
Qasem Exirifard
|
Visiting Horava-Lifshitz gravity in extra dimensions
|
v4: typos corrected, 1 ref. added, more extra dimensions included
| null | null |
IPM/P-2009/051
|
hep-th gr-qc
|
http://creativecommons.org/licenses/by/3.0/
|
The Horava-Lifshitz gravity, having broken the symmetry of space and time,
includes three objects: the spatial metric $g_{ij}$, the lapse variable $N$,
and the shift variable $N_{i}$. Each of these objects have their own scaling
dimensions. The action of the theory is required to be invariant under this
scaling, and spatial diffeomorphism, and the temporal foliation symmetry.
Noting that action can non-trivially depend on the lapse variable, we suggest
to consider the Horva's approach to quantum gravity in higher dimensions such
that a set of extra spacial coordinates possess a scaling dimension different
from that of rest. In so so doing, we propose a new power counting
renormalizable theory for quantum gravity in its UV point. We show that the IR
point and UV point of the proposal possess the same number of degrees of
freedom in 3, 8 and 27 extra-dimensional space-time geometry.
|
[
{
"created": "Mon, 23 Nov 2009 09:28:03 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2009 15:17:20 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Dec 2009 18:00:35 GMT",
"version": "v3"
},
{
"created": "Thu, 31 Dec 2009 13:49:28 GMT",
"version": "v4"
}
] |
2009-12-31
|
[
[
"Exirifard",
"Qasem",
""
]
] |
The Horava-Lifshitz gravity, having broken the symmetry of space and time, includes three objects: the spatial metric $g_{ij}$, the lapse variable $N$, and the shift variable $N_{i}$. Each of these objects have their own scaling dimensions. The action of the theory is required to be invariant under this scaling, and spatial diffeomorphism, and the temporal foliation symmetry. Noting that action can non-trivially depend on the lapse variable, we suggest to consider the Horva's approach to quantum gravity in higher dimensions such that a set of extra spacial coordinates possess a scaling dimension different from that of rest. In so so doing, we propose a new power counting renormalizable theory for quantum gravity in its UV point. We show that the IR point and UV point of the proposal possess the same number of degrees of freedom in 3, 8 and 27 extra-dimensional space-time geometry.
|
1508.05144
|
Olindo Corradini
|
Naser Ahmadiniaz, Fiorenzo Bastianelli, Olindo Corradini
|
Dressed scalar propagator in a non-abelian background from the worldline
formalism
|
21 pages, 1 figure; title modified, discussion improved, references
added, main results unchanged. Matches version published in PRD
|
Phys. Rev. D 93, 025035 (2016)
|
10.1103/PhysRevD.93.025035
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the propagator of a colored scalar particle in the background of a
non-abelian gauge field using the worldline formalism. It is obtained by
considering the open worldline of a scalar particle with extra degrees of
freedom needed to take into account the color charge of the particle, which we
choose to be in the fundamental representation of the gauge group. Specializing
the external gauge field to be given by a sum of plane waves, i.e. a sum of
external gluons, we produce a master formula for the scalar propagator with an
arbitrary number of gluons directly attached to the scalar line, akin to
similar formulas derived in the literature for the case of the scalar particle
performing a loop. Our worldline description produces at the same time the
situation in which the particle has a color charge given by an arbitrarily
chosen symmetric or antisymmetric tensor product of the fundamental.
|
[
{
"created": "Thu, 20 Aug 2015 22:52:50 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2015 10:12:43 GMT",
"version": "v2"
}
] |
2016-02-03
|
[
[
"Ahmadiniaz",
"Naser",
""
],
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Corradini",
"Olindo",
""
]
] |
We study the propagator of a colored scalar particle in the background of a non-abelian gauge field using the worldline formalism. It is obtained by considering the open worldline of a scalar particle with extra degrees of freedom needed to take into account the color charge of the particle, which we choose to be in the fundamental representation of the gauge group. Specializing the external gauge field to be given by a sum of plane waves, i.e. a sum of external gluons, we produce a master formula for the scalar propagator with an arbitrary number of gluons directly attached to the scalar line, akin to similar formulas derived in the literature for the case of the scalar particle performing a loop. Our worldline description produces at the same time the situation in which the particle has a color charge given by an arbitrarily chosen symmetric or antisymmetric tensor product of the fundamental.
|
hep-th/9906248
|
Miao Li
|
Hidetoshi Awata, Miao Li, Djordje Minic and Tamiaki Yoneya
|
On the Quantization of Nambu Brackets
|
18 pages, LaTeX file
|
JHEP 0102:013,2001
|
10.1088/1126-6708/2001/02/013
|
YITP-99-40, EFI-99-30, USC-99/HEP-M4, UT-KOMABA/99-10
|
hep-th
| null |
We present several non-trivial examples of the three-dimensional quantum
Nambu bracket which involve square matrices or three-index objects. Our
examples satisfy two fundamental properties of the classical Nambu bracket:
they are skew-symmetric and they obey the Fundamental Identity. We contrast our
approach to the existing literature on the quantum deformations of Nambu
mechanics. We also discuss possible applications of our results in M-theory.
|
[
{
"created": "Wed, 30 Jun 1999 18:31:37 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Awata",
"Hidetoshi",
""
],
[
"Li",
"Miao",
""
],
[
"Minic",
"Djordje",
""
],
[
"Yoneya",
"Tamiaki",
""
]
] |
We present several non-trivial examples of the three-dimensional quantum Nambu bracket which involve square matrices or three-index objects. Our examples satisfy two fundamental properties of the classical Nambu bracket: they are skew-symmetric and they obey the Fundamental Identity. We contrast our approach to the existing literature on the quantum deformations of Nambu mechanics. We also discuss possible applications of our results in M-theory.
|
1904.04265
|
Marika Taylor
|
Federico Capone and Marika Taylor
|
Cosmic branes and asymptotic structure
|
52 pages; v2, minor additions, published version
| null |
10.1007/JHEP10(2019)138
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Superrotations of asymptotically flat spacetimes in four dimensions can be
interpreted in terms of including cosmic strings within the phase space of
allowed solutions. In this paper we explore the implications of the inclusion
of cosmic branes on the asymptotic structure of vacuum spacetimes in dimension
d > 4. We first show that only cosmic (d-3)-branes are Riemann flat in the
neighbourhood of the brane, and therefore only branes of such dimension passing
through the celestial sphere can respect asymptotic local flatness. We derive
the asymptotically locally flat boundary conditions associated with including
cosmic branes in the phase space of solutions. We find the asymptotic expansion
of vacuum spacetimes in d=5 with such boundary conditions; the expansion is
polyhomogenous, with logarithmic terms arising at subleading orders in the
expansion. The asymptotically locally flat boundary conditions identified here
are associated with an extended asymptotic symmetry group, which may be
relevant to soft scattering theorems and memory effects.
|
[
{
"created": "Mon, 8 Apr 2019 18:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2019 19:12:57 GMT",
"version": "v2"
}
] |
2020-01-08
|
[
[
"Capone",
"Federico",
""
],
[
"Taylor",
"Marika",
""
]
] |
Superrotations of asymptotically flat spacetimes in four dimensions can be interpreted in terms of including cosmic strings within the phase space of allowed solutions. In this paper we explore the implications of the inclusion of cosmic branes on the asymptotic structure of vacuum spacetimes in dimension d > 4. We first show that only cosmic (d-3)-branes are Riemann flat in the neighbourhood of the brane, and therefore only branes of such dimension passing through the celestial sphere can respect asymptotic local flatness. We derive the asymptotically locally flat boundary conditions associated with including cosmic branes in the phase space of solutions. We find the asymptotic expansion of vacuum spacetimes in d=5 with such boundary conditions; the expansion is polyhomogenous, with logarithmic terms arising at subleading orders in the expansion. The asymptotically locally flat boundary conditions identified here are associated with an extended asymptotic symmetry group, which may be relevant to soft scattering theorems and memory effects.
|
hep-th/0503098
|
Brian Forbes
|
Brian Forbes, Masao Jinzenji
|
Extending the Picard-Fuchs system of local mirror symmetry
|
47 pages, 7 figures. Minor errors corrected, including the correction
of the triple intersection numbers for the del Pezzo surface
|
J.Math.Phys. 46 (2005) 082302
|
10.1063/1.1996441
| null |
hep-th math.AG
| null |
We propose an extended set of differential operators for local mirror
symmetry. If $X$ is Calabi-Yau such that $\dim H_4(X,\Z)=0$, then we show that
our operators fully describe mirror symmetry. In the process, a conjecture for
intersection theory for such $X$ is uncovered. We also find new operators on
several examples of type $X=K_S$ through similar techniques. In addition, open
string PF systems are considered.
|
[
{
"created": "Fri, 11 Mar 2005 11:14:41 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2005 10:49:22 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Mar 2005 09:24:02 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Forbes",
"Brian",
""
],
[
"Jinzenji",
"Masao",
""
]
] |
We propose an extended set of differential operators for local mirror symmetry. If $X$ is Calabi-Yau such that $\dim H_4(X,\Z)=0$, then we show that our operators fully describe mirror symmetry. In the process, a conjecture for intersection theory for such $X$ is uncovered. We also find new operators on several examples of type $X=K_S$ through similar techniques. In addition, open string PF systems are considered.
|
hep-th/9912224
|
T. Damour
|
Thibault Damour
|
Strings and black holes
|
12 pages, uses annalen.cls, contribution to the proceedings of the
"Journees Relativistes 99" (Weimar, Sept 1999)
|
Annalen Phys. 11 (2000) 1; Grav.Cosmol.Suppl. 6 (2000) 63-71
|
10.1002/(SICI)1521-3889(200005)9:3/5<267::AID-ANDP267>3.0.CO;2-Y
| null |
hep-th gr-qc
| null |
I review some recent work (done in collaboration with G. Veneziano) which
clarifies the existence of a correspondence between self-gravitating
fundamental string states and Schwarzschild black holes. The main result is a
detailed calculation showing that self-gravity causes a typical string state of
mass M to shrink, as the string coupling g^2 increases, down to a compact
string state whose mass, size, entropy and luminosity match (for the critical
value g_c^2 = (M sqrt{alpha'})^{-1}) those of a Schwarzschild black hole. This
confirms the idea that the entropy of black holes can be accounted for by
counting string states, and suggests that the level spacing of the quantum
states of Schwarzschild black holes is exponentially small, and very much
blurred by radiative effects.
|
[
{
"created": "Wed, 22 Dec 1999 15:05:16 GMT",
"version": "v1"
}
] |
2017-09-27
|
[
[
"Damour",
"Thibault",
""
]
] |
I review some recent work (done in collaboration with G. Veneziano) which clarifies the existence of a correspondence between self-gravitating fundamental string states and Schwarzschild black holes. The main result is a detailed calculation showing that self-gravity causes a typical string state of mass M to shrink, as the string coupling g^2 increases, down to a compact string state whose mass, size, entropy and luminosity match (for the critical value g_c^2 = (M sqrt{alpha'})^{-1}) those of a Schwarzschild black hole. This confirms the idea that the entropy of black holes can be accounted for by counting string states, and suggests that the level spacing of the quantum states of Schwarzschild black holes is exponentially small, and very much blurred by radiative effects.
|
hep-th/9403194
| null |
M.T. Grisaru and D. Zanon
|
Kahler Potentials and Renormalization Group Flows in N=2 Landau-Ginzburg
Models
|
9pp + 1 uuencoded figure, IFUM-464-FT, BRX-TH-356 (only revision is
minor fix in figure file)
|
Phys.Lett. B332 (1994) 77-82
|
10.1016/0370-2693(94)90861-3
| null |
hep-th
| null |
We examine the conditions for superconformal invariance and the specific form
of the K\"ahler potential for a two-dimensional lagrangian model with $N=2$
supersymmetry and superpotential $gX^k$. Away from the superconformal point we
study the renormalization group flow induced by a particular class of K\"ahler
potentials. We find trajectories which, in the infrared, reach the fixed point
with a central charge whose value is that of the $N=2$, $A_{k-1}$ minimal
model.
|
[
{
"created": "Thu, 31 Mar 1994 15:05:00 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Apr 1994 11:58:00 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Grisaru",
"M. T.",
""
],
[
"Zanon",
"D.",
""
]
] |
We examine the conditions for superconformal invariance and the specific form of the K\"ahler potential for a two-dimensional lagrangian model with $N=2$ supersymmetry and superpotential $gX^k$. Away from the superconformal point we study the renormalization group flow induced by a particular class of K\"ahler potentials. We find trajectories which, in the infrared, reach the fixed point with a central charge whose value is that of the $N=2$, $A_{k-1}$ minimal model.
|
hep-th/9509088
| null |
F. Barbarin, E. Ragoucy, and P. Sorba
|
Non-Polynomial Realizations of W-Algebras
|
33 pages, LaTeX file, minor LaTex error corrected
|
Int. J. Mod. Phys. A11 (1996) 2835
|
10.1142/S0217751X96001383
|
ENSLAPP-AL-536/95
|
hep-th
| null |
Relaxing first-class constraint conditions in the usual Drinfeld-Sokolov
Hamiltonian reduction leads, after symmetry fixing, to realizations of W
algebras expressed in terms of all the J-current components. General results
are given for G a non exceptional simple (finite and affine) algebra. Such
calculations directly provide the commutant, in the (closure of) G enveloping
algebra, of the nilpotent subalgebra $G_-$, where the subscript refers to the
chosen gradation in G. In the affine case, explicit expressions are presented
for the Virasoro, $W_3$, and Bershadsky algebras at the quantum level.
|
[
{
"created": "Fri, 15 Sep 1995 10:34:30 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Sep 1995 12:27:19 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Barbarin",
"F.",
""
],
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
]
] |
Relaxing first-class constraint conditions in the usual Drinfeld-Sokolov Hamiltonian reduction leads, after symmetry fixing, to realizations of W algebras expressed in terms of all the J-current components. General results are given for G a non exceptional simple (finite and affine) algebra. Such calculations directly provide the commutant, in the (closure of) G enveloping algebra, of the nilpotent subalgebra $G_-$, where the subscript refers to the chosen gradation in G. In the affine case, explicit expressions are presented for the Virasoro, $W_3$, and Bershadsky algebras at the quantum level.
|
hep-th/9912161
|
Paolo Di Vecchia
|
Paolo Di Vecchia and Antonella Liccardo
|
D branes in string theory,I
|
58 pages, Latex
|
NATO Adv.Study Inst.Ser.C.Math.Phys.Sci.556:1-59,2000
| null |
Nordita-1999/77 HE
|
hep-th
| null |
In these lectures we present a detailed description of the origin and of the
construction of the boundary state that is now widely used for studying the
properties of D branes. (Lectures given at NATO-ASI on "Quantum Geometry" in
Akureyri, Iceland, August 1999).
|
[
{
"created": "Fri, 17 Dec 1999 18:01:16 GMT",
"version": "v1"
}
] |
2011-04-15
|
[
[
"Di Vecchia",
"Paolo",
""
],
[
"Liccardo",
"Antonella",
""
]
] |
In these lectures we present a detailed description of the origin and of the construction of the boundary state that is now widely used for studying the properties of D branes. (Lectures given at NATO-ASI on "Quantum Geometry" in Akureyri, Iceland, August 1999).
|
hep-th/0305141
|
Clovis Wotzasek
|
D. C. Rodrigues and C. Wotzasek
|
Conflict between symmetries: a classical example
|
Latex file, 4 pages, no figures
| null | null | null |
hep-th
| null |
We have found a (classical) competition between duality and gauge symmetries
when trying to obtain an explicit dual to the non-nonabelian version of the
self-dual model proposed by Townsend, Pilch and van Nieuwenhuizen\cite{TPvN}
(NASD) either through gauge embedding procedures or gauge invariant master
approach. We found that the theory dual to NASD {\it is not} the
Yang-Mills-Chern-Simons model. We then proved that a model gauge invariant and
dual equivalent to NASD cannot be achieved because of this conflict. Other
nonabelian self-dual formulation proposed in \cite{KLRvN} was studied and its
dual obtained. We discuss the consequences of the dual equivalence found here
in the context of 3D non-abelian bosonization.
|
[
{
"created": "Fri, 16 May 2003 13:19:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rodrigues",
"D. C.",
""
],
[
"Wotzasek",
"C.",
""
]
] |
We have found a (classical) competition between duality and gauge symmetries when trying to obtain an explicit dual to the non-nonabelian version of the self-dual model proposed by Townsend, Pilch and van Nieuwenhuizen\cite{TPvN} (NASD) either through gauge embedding procedures or gauge invariant master approach. We found that the theory dual to NASD {\it is not} the Yang-Mills-Chern-Simons model. We then proved that a model gauge invariant and dual equivalent to NASD cannot be achieved because of this conflict. Other nonabelian self-dual formulation proposed in \cite{KLRvN} was studied and its dual obtained. We discuss the consequences of the dual equivalence found here in the context of 3D non-abelian bosonization.
|
hep-th/0012175
|
Sheikh-Jabbari Mohammad
|
M. Chaichian, A. Demichev, P. Presnajder, M.M. Sheikh-Jabbari, A.
Tureanu
|
Aharonov-Bohm Effect in Noncommutative Spaces
|
2nd version, some clarifications added, the results compared with the
existing experimental data
|
Phys.Lett.B527:149-154,2002
|
10.1016/S0370-2693(02)01176-0
|
HIP-2001-01/TH
|
hep-th
| null |
The Aharonov-Bohm effect on the noncommutative plane is considered.
Developing the path integral formulation of quantum mechanics, we find the
propagation amplitude for a particle in a noncommutative space. We show that
the corresponding shift in the phase of the particle propagator due to the
magnetic field of a thin solenoid receives certain gauge invariant corrections
because of the noncommutativity. Evaluating the numerical value for this
correction, an upper bound for the noncommutativity parameter is obtained.
|
[
{
"created": "Tue, 19 Dec 2000 16:38:09 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2001 14:07:16 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Chaichian",
"M.",
""
],
[
"Demichev",
"A.",
""
],
[
"Presnajder",
"P.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Tureanu",
"A.",
""
]
] |
The Aharonov-Bohm effect on the noncommutative plane is considered. Developing the path integral formulation of quantum mechanics, we find the propagation amplitude for a particle in a noncommutative space. We show that the corresponding shift in the phase of the particle propagator due to the magnetic field of a thin solenoid receives certain gauge invariant corrections because of the noncommutativity. Evaluating the numerical value for this correction, an upper bound for the noncommutativity parameter is obtained.
|
hep-th/9604153
|
A. A. Kadeishvili
|
Alexey A. Kadeishvili
|
Vertex Operators for Deformed Virasoro Algebra
|
stylistic errors corrected
|
JETP Lett. 63 (1996) 917-923; Pisma Zh.Eksp.Teor.Fiz. 63 (1996)
876-881
|
10.1134/1.567114
|
LANDAU-96-TMP-1
|
hep-th
| null |
Vertex operators for the deformed Virasoro algebra are defined, their bosonic
representation is constructed and difference equation for the simplest vertex
operators is described.
|
[
{
"created": "Wed, 24 Apr 1996 10:15:05 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 1996 12:01:26 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Kadeishvili",
"Alexey A.",
""
]
] |
Vertex operators for the deformed Virasoro algebra are defined, their bosonic representation is constructed and difference equation for the simplest vertex operators is described.
|
2312.03623
|
Alexey Milekhin
|
Alexey Milekhin, Jiuci Xu
|
Revisiting Brownian SYK and its possible relations to de Sitter
|
v2: updated references; v1: 1+20 pages, 4 figures
| null | null | null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent
energy conservation overlooked in the literature before. We solve this model in
the double-scaled regime and demonstrate hyperfast scrambling, exponential
decay of correlation functions, bounded spectrum and unexpected factorization
of higher-point functions. We comment on how these results are related to de
Sitter holography.
|
[
{
"created": "Wed, 6 Dec 2023 17:11:29 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2024 23:20:17 GMT",
"version": "v2"
}
] |
2024-07-25
|
[
[
"Milekhin",
"Alexey",
""
],
[
"Xu",
"Jiuci",
""
]
] |
We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of correlation functions, bounded spectrum and unexpected factorization of higher-point functions. We comment on how these results are related to de Sitter holography.
|
1811.11367
|
Jing-Yuan Chen
|
Jun Ho Son, Jing-Yuan Chen, S. Raghu
|
Duality Web on a 3D Euclidean Lattice and Manifestation of Hidden
Symmetries
|
38 pages; v2: minor changes
| null |
10.1007/JHEP06(2019)038
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We generalize our previous lattice construction of the abelian bosonization
duality in $2+1$ dimensions to the entire web of dualities as well as the
$N_f=2$ self-duality, via the lattice implementation of a set of modular
transformations in the theory space. The microscopic construction provides
explicit operator mappings, and allows the manifestation of some hidden
symmetries. It also exposes certain caveats and implicit assumptions beneath
the usual application of the modular transformations to generate the web of
dualities. Finally, we make brief comments on the non-relativistic limit of the
dualities.
|
[
{
"created": "Wed, 28 Nov 2018 02:55:13 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2019 00:41:20 GMT",
"version": "v2"
}
] |
2019-06-26
|
[
[
"Son",
"Jun Ho",
""
],
[
"Chen",
"Jing-Yuan",
""
],
[
"Raghu",
"S.",
""
]
] |
We generalize our previous lattice construction of the abelian bosonization duality in $2+1$ dimensions to the entire web of dualities as well as the $N_f=2$ self-duality, via the lattice implementation of a set of modular transformations in the theory space. The microscopic construction provides explicit operator mappings, and allows the manifestation of some hidden symmetries. It also exposes certain caveats and implicit assumptions beneath the usual application of the modular transformations to generate the web of dualities. Finally, we make brief comments on the non-relativistic limit of the dualities.
|
1701.00341
|
Ahmed Farag Ali
|
Mir Faizal, Ahmed Farag Ali, Ali Nassar
|
Generalized Uncertainty Principle as a Consequence of the Effective
Field Theory
|
15 pages, no figures, Accepted for Publication in Physics Letters B
|
Phys.Lett. B765 (2017) 238-243
|
10.1016/j.physletb.2016.11.054
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We will demonstrate that the generalized uncertainty principle exists because
of the derivative expansion in the effective field theories. This is because,
in the framework of the effective field theories, the minimum measurable length
scale has to be integrated away to obtain the low energy effective action. We
will analyze the deformation of a massive free scalar field theory by the
generalized uncertainty principle, and demonstrate that the minimum measurable
length scale corresponds to a second more massive scale in the theory, which
has been integrated away. We will also analyze CFT operators dual to this
deformed scalar field theory, and observe that scaling of the new CFT operators
indicates that they are dual to this more massive scale in the theory. We will
use holographic renormalization to explicitly calculate the renormalized
boundary action with counterterms for this scalar field theory deformed by the
generalized uncertainty principle and show that the generalized uncertainty
principle contributes to the matter conformal anomaly.
|
[
{
"created": "Mon, 2 Jan 2017 09:05:15 GMT",
"version": "v1"
}
] |
2017-01-03
|
[
[
"Faizal",
"Mir",
""
],
[
"Ali",
"Ahmed Farag",
""
],
[
"Nassar",
"Ali",
""
]
] |
We will demonstrate that the generalized uncertainty principle exists because of the derivative expansion in the effective field theories. This is because, in the framework of the effective field theories, the minimum measurable length scale has to be integrated away to obtain the low energy effective action. We will analyze the deformation of a massive free scalar field theory by the generalized uncertainty principle, and demonstrate that the minimum measurable length scale corresponds to a second more massive scale in the theory, which has been integrated away. We will also analyze CFT operators dual to this deformed scalar field theory, and observe that scaling of the new CFT operators indicates that they are dual to this more massive scale in the theory. We will use holographic renormalization to explicitly calculate the renormalized boundary action with counterterms for this scalar field theory deformed by the generalized uncertainty principle and show that the generalized uncertainty principle contributes to the matter conformal anomaly.
|
hep-th/9503117
| null |
M.Alimohammadi and A.Shafei Deh Abad
|
Quantum group symmetry of the Quantum Hall effect on the non-flat
surfaces
|
8 pages,latex,no figure
|
J.Phys.A29:559-564,1996
|
10.1088/0305-4470/29/3/010
| null |
hep-th
| null |
After showing that the magnetic translation operators are not the symmetries
of the QHE on non-flat surfaces , we show that there exist another set of
operators which leads to the quantum group symmetries for some of these
surfaces . As a first example we show that the $su(2)$ symmetry of the QHE on
sphere leads to $su_q(2)$ algebra in the equator . We explain this result by a
contraction of $su(2)$ . Secondly , with the help of the symmetry operators of
QHE on the Pioncare upper half plane , we will show that the ground state wave
functions form a representation of the $su_q(2)$ algebra .
|
[
{
"created": "Sat, 18 Mar 1995 08:15:17 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Mar 1995 06:37:23 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Alimohammadi",
"M.",
""
],
[
"Abad",
"A. Shafei Deh",
""
]
] |
After showing that the magnetic translation operators are not the symmetries of the QHE on non-flat surfaces , we show that there exist another set of operators which leads to the quantum group symmetries for some of these surfaces . As a first example we show that the $su(2)$ symmetry of the QHE on sphere leads to $su_q(2)$ algebra in the equator . We explain this result by a contraction of $su(2)$ . Secondly , with the help of the symmetry operators of QHE on the Pioncare upper half plane , we will show that the ground state wave functions form a representation of the $su_q(2)$ algebra .
|
1009.1110
|
Luis Fernando Alday
|
Luis F. Alday
|
Some analytic results for two-loop scattering amplitudes
|
18 pages
|
JHEP 1107:080,2011
|
10.1007/JHEP07(2011)080
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present analytic results for the finite diagrams contributing to the
two-loop eight-point MHV scattering amplitude of planar N=4 SYM. We use a
recently proposed representation for the integrand of the amplitude in terms of
(momentum) twistors and focus on a restricted kinematics in which the answer
depends only on two independent cross-ratios. The theory of motives can be used
to vastly simplify the results, which can be expressed as simple combinations
of classical polylogarithms.
|
[
{
"created": "Mon, 6 Sep 2010 18:09:49 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2011 09:29:14 GMT",
"version": "v2"
}
] |
2011-07-21
|
[
[
"Alday",
"Luis F.",
""
]
] |
We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N=4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum) twistors and focus on a restricted kinematics in which the answer depends only on two independent cross-ratios. The theory of motives can be used to vastly simplify the results, which can be expressed as simple combinations of classical polylogarithms.
|
hep-th/0510193
|
Domingo Louis-Martinez
|
Domingo J. Louis-Martinez
|
Relativistic non-instantaneous action-at-a-distance interactions
| null |
Phys.Lett.B632:733-739,2006
|
10.1016/j.physletb.2005.11.029
| null |
hep-th
| null |
Relativistic action-at-a-distance theories with interactions that propagate
at the speed of light in vacuum are investigated. We consider the most general
action depending on the velocities and relative positions of the particles. The
Poincare invariant parameters that label successive events along the world
lines can be identified with the proper times of the particles provided that
certain conditions are impossed on the interaction terms in the action. Further
conditions on the interaction terms arise from the requirement that mass be a
scalar. A generic class of theories with interactions that satisfy these
conditions is found. The relativistic equations of motion for these theories
are presented. We obtain exact circular orbits solutions of the relativistic
one-body problem. The exact relativistic one-body Hamiltonian is also derived.
The theory has three components: a linearly rising potential, a Coulomb-like
interaction and a dynamical component to the Poincar\'e invariant mass. At the
quantum level we obtain the generalized Klein-Gordon-Fock equation and the
Dirac equation.
|
[
{
"created": "Sat, 22 Oct 2005 23:57:22 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Louis-Martinez",
"Domingo J.",
""
]
] |
Relativistic action-at-a-distance theories with interactions that propagate at the speed of light in vacuum are investigated. We consider the most general action depending on the velocities and relative positions of the particles. The Poincare invariant parameters that label successive events along the world lines can be identified with the proper times of the particles provided that certain conditions are impossed on the interaction terms in the action. Further conditions on the interaction terms arise from the requirement that mass be a scalar. A generic class of theories with interactions that satisfy these conditions is found. The relativistic equations of motion for these theories are presented. We obtain exact circular orbits solutions of the relativistic one-body problem. The exact relativistic one-body Hamiltonian is also derived. The theory has three components: a linearly rising potential, a Coulomb-like interaction and a dynamical component to the Poincar\'e invariant mass. At the quantum level we obtain the generalized Klein-Gordon-Fock equation and the Dirac equation.
|
hep-th/9907037
|
Ali Chamseddine
|
Ali H. Chamseddine (CAMS, AUB)
|
Supersymmetric D0-Branes in Curved Backgrounds
|
8 pages. One reference and a comment added
|
Phys.Lett. B462 (1999) 265-270
|
10.1016/S0370-2693(99)00938-7
|
CAMS/99-03
|
hep-th
| null |
An action for supersymmetric D0-branes in curved backgrounds is obtained by
dimensional reduction of N=1 ten-dimensional supergravity coupled to super
Yang-Mills system to 0+1 dimensions. The resultant action exhibits the
coset-space symmetry $\frac{SO(9,9+n)}{SO(9)\times SO(9+n)}\times U(1)$ where
$n=N^{2}-1$ is the dimension of the SU(N) gauge group.
|
[
{
"created": "Wed, 7 Jul 1999 12:21:42 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 1999 12:02:03 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Chamseddine",
"Ali H.",
"",
"CAMS, AUB"
]
] |
An action for supersymmetric D0-branes in curved backgrounds is obtained by dimensional reduction of N=1 ten-dimensional supergravity coupled to super Yang-Mills system to 0+1 dimensions. The resultant action exhibits the coset-space symmetry $\frac{SO(9,9+n)}{SO(9)\times SO(9+n)}\times U(1)$ where $n=N^{2}-1$ is the dimension of the SU(N) gauge group.
|
hep-th/0406047
|
Gennadi Sardanashvily
|
G.Sardanashvily
|
50 Years of Gauge Theory. Mathematical Aspects
|
Preface to the special issue of 'International Journal of Geometric
Methods in Modern Physics' (v.1, No.4), 5 pages
| null | null | null |
hep-th
| null |
Mathematical aspects of contemporary classical and quantum gauge theory are
sketched.
|
[
{
"created": "Fri, 4 Jun 2004 14:49:56 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Jun 2004 05:47:06 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sardanashvily",
"G.",
""
]
] |
Mathematical aspects of contemporary classical and quantum gauge theory are sketched.
|
1205.2099
|
Dumitru Astefanesei
|
Dumitru Astefanesei, Olivera Miskovic and Rodrigo Olea
|
Attractor horizons in six-dimensional type IIB supergravity
|
15 pages, no figures; v2: new refs., minor corrections, matches the
published version
| null |
10.1016/j.physletb.2012.07.013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider near horizon geometries of extremal black holes in
six-dimensional type IIB supergravity. In particular, we use the entropy
function formalism to compute the charges and thermodynamic entropy of these
solutions. We also comment on the role of attractor mechanism in understanding
the entropy of the Hopf T-dual solutions in type IIA supergravity.
|
[
{
"created": "Wed, 9 May 2012 20:13:25 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2012 21:04:32 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Astefanesei",
"Dumitru",
""
],
[
"Miskovic",
"Olivera",
""
],
[
"Olea",
"Rodrigo",
""
]
] |
We consider near horizon geometries of extremal black holes in six-dimensional type IIB supergravity. In particular, we use the entropy function formalism to compute the charges and thermodynamic entropy of these solutions. We also comment on the role of attractor mechanism in understanding the entropy of the Hopf T-dual solutions in type IIA supergravity.
|
1304.7085
|
Kyosuke Hirochi Dr.
|
Kyosuke Hirochi
|
Entropy for curvature squared gravity using surface term and auxiliary
field
|
7 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the entropies for general curvature squared gravities in arbitrary
dimensions using the conserved charge and Virasoro algebra from surface term.
We introduce an auxiliary tensor field in order to obtain the boundary action
which establish a variational principle. Our results reproduce those in some
specific models, that is, the Gauss-Bonnet, new massive gravity (NMG), and
critical gravity.
|
[
{
"created": "Fri, 26 Apr 2013 07:58:51 GMT",
"version": "v1"
}
] |
2013-04-29
|
[
[
"Hirochi",
"Kyosuke",
""
]
] |
We compute the entropies for general curvature squared gravities in arbitrary dimensions using the conserved charge and Virasoro algebra from surface term. We introduce an auxiliary tensor field in order to obtain the boundary action which establish a variational principle. Our results reproduce those in some specific models, that is, the Gauss-Bonnet, new massive gravity (NMG), and critical gravity.
|
1801.04943
|
Masahide Manabe
|
Omar Foda, Masahide Manabe
|
Macdonald topological vertices and brane condensates
|
23 pages, 5 figures. v2: minor changes, published version
|
Nuclear Physics B, Volume 936, November 2018, Pages 448-471
|
10.1016/j.nuclphysb.2018.10.001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show, in a number of simple examples, that Macdonald-type
$qt$-deformations of topological string partition functions are equivalent to
topological string partition functions that are without $qt$-deformations but
with brane condensates, and that these brane condensates lead to geometric
transitions.
|
[
{
"created": "Mon, 15 Jan 2018 19:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Oct 2018 01:39:55 GMT",
"version": "v2"
}
] |
2018-10-24
|
[
[
"Foda",
"Omar",
""
],
[
"Manabe",
"Masahide",
""
]
] |
We show, in a number of simple examples, that Macdonald-type $qt$-deformations of topological string partition functions are equivalent to topological string partition functions that are without $qt$-deformations but with brane condensates, and that these brane condensates lead to geometric transitions.
|
hep-th/0511005
|
Brian Forbes
|
Brian Forbes and Masao Jinzenji
|
Prepotentials for local mirror symmetry via Calabi-Yau fourfolds
|
42 pages, 7 figures. Expanded, reorganized, and added a theoretical
background for the calculations
|
JHEP0603:061,2006
|
10.1088/1126-6708/2006/03/061
| null |
hep-th math.AG
| null |
In this paper, we first derive an intrinsic definition of classical triple
intersection numbers of K_S, where S is a complex toric surface, and use this
to compute the extended Picard-Fuchs system of K_S of our previous paper,
without making use of the instanton expansion. We then extend this formalism to
local fourfolds K_X, where X is a complex 3-fold. As a result, we are able to
fix the prepotential of local Calabi-Yau threefolds K_S up to polynomial terms
of degree 2. We then outline methods of extending the procedure to non
canonical bundle cases.
|
[
{
"created": "Tue, 1 Nov 2005 08:51:22 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Jan 2006 08:01:16 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Mar 2006 09:16:13 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Forbes",
"Brian",
""
],
[
"Jinzenji",
"Masao",
""
]
] |
In this paper, we first derive an intrinsic definition of classical triple intersection numbers of K_S, where S is a complex toric surface, and use this to compute the extended Picard-Fuchs system of K_S of our previous paper, without making use of the instanton expansion. We then extend this formalism to local fourfolds K_X, where X is a complex 3-fold. As a result, we are able to fix the prepotential of local Calabi-Yau threefolds K_S up to polynomial terms of degree 2. We then outline methods of extending the procedure to non canonical bundle cases.
|
1404.1745
|
Mario Trigiante
|
Anna Ceresole, Gianguido Dall'Agata, Sergio Ferrara, Mario Trigiante
and Antoine Van Proeyen
|
A Search for an N=2 Inflaton Potential
|
32 pages, 1 figure, LaTeX source, typos corrected
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider N=2 supergravity theories that have the same spectrum as the
R+R^2 supergravity, as predicted from the off-shell counting of degrees of
freedom. These theories describe standard N=2 supergravity coupled to one or
two long massive vector multiplets. The central charge is not gauged in these
models and they have a Minkowski vacuum with N=2 unbroken supersymmetry. The
gauge symmetry, being non-compact, is always broken. $\alpha$-deformed inflaton
potentials are obtained, in the case of a single massive vector multiplet, with
$\alpha=1/3$ and $2/3$. The $\alpha=1$ potential (i.e. the Starobinsky
potential) is also obtained, but only at the prize of having a single massive
vector and a residual unbroken gauge symmetry. The inflaton corresponds to one
of the Cartan fields of the non-compact quaternionic-K{\"a}hler cosets.
|
[
{
"created": "Mon, 7 Apr 2014 11:14:16 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Jul 2014 14:07:40 GMT",
"version": "v2"
}
] |
2014-07-15
|
[
[
"Ceresole",
"Anna",
""
],
[
"Dall'Agata",
"Gianguido",
""
],
[
"Ferrara",
"Sergio",
""
],
[
"Trigiante",
"Mario",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We consider N=2 supergravity theories that have the same spectrum as the R+R^2 supergravity, as predicted from the off-shell counting of degrees of freedom. These theories describe standard N=2 supergravity coupled to one or two long massive vector multiplets. The central charge is not gauged in these models and they have a Minkowski vacuum with N=2 unbroken supersymmetry. The gauge symmetry, being non-compact, is always broken. $\alpha$-deformed inflaton potentials are obtained, in the case of a single massive vector multiplet, with $\alpha=1/3$ and $2/3$. The $\alpha=1$ potential (i.e. the Starobinsky potential) is also obtained, but only at the prize of having a single massive vector and a residual unbroken gauge symmetry. The inflaton corresponds to one of the Cartan fields of the non-compact quaternionic-K{\"a}hler cosets.
|
1801.06840
|
Daniel Boyanovsky
|
Daniel Boyanovsky
|
Information loss in effective field theory: entanglement and thermal
entropies
|
published version
|
Phys. Rev. D 97, 065008 (2018)
|
10.1103/PhysRevD.97.065008
| null |
hep-th cond-mat.stat-mech hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Integrating out high energy degrees of freedom to yield a low energy
effective field theory leads to a loss of information with a concomitant
increase in entropy. We obtain the effective field theory of a light scalar
field interacting with heavy fields after tracing out the heavy degrees of
freedom from the time evolved density matrix. The initial density matrix
describes the light field in its ground state and the heavy fields in
equilibrium at a common temperature $T$. For $T=0$, we obtain the reduced
density matrix in a perturbative expansion, it reveals an emergent mixed state
as a consequence of the entanglement between light and heavy fields. We obtain
the effective action that determines the time evolution of the \emph{reduced}
density matrix for the light field in a non-perturbative Dyson resummation of
one-loop correlations of the heavy fields. The Von-Neumann \emph{entanglement
entropy} associated with the reduced density matrix is obtained for the
non-resonant and resonant cases in the asymptotic long time limit. In the
non-resonant case the reduced density matrix displays an \emph{incipient}
thermalization albeit with a wave-vector, time and coupling dependent
\emph{effective temperature} as a consequence of memory of initial conditions.
The entanglement entropy is time independent and is the \emph{thermal entropy}
for this effective, non-equilibrium temperature. In the resonant case the light
field fully \emph{thermalizes} with the heavy fields, the reduced density
matrix looses memory of the initial conditions and the entanglement entropy
becomes the \emph{thermal entropy} of the light field. We discuss the relation
between the entanglement entropy ultraviolet divergences and renormalization.
|
[
{
"created": "Sun, 21 Jan 2018 16:04:41 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Mar 2018 20:12:34 GMT",
"version": "v2"
}
] |
2018-03-21
|
[
[
"Boyanovsky",
"Daniel",
""
]
] |
Integrating out high energy degrees of freedom to yield a low energy effective field theory leads to a loss of information with a concomitant increase in entropy. We obtain the effective field theory of a light scalar field interacting with heavy fields after tracing out the heavy degrees of freedom from the time evolved density matrix. The initial density matrix describes the light field in its ground state and the heavy fields in equilibrium at a common temperature $T$. For $T=0$, we obtain the reduced density matrix in a perturbative expansion, it reveals an emergent mixed state as a consequence of the entanglement between light and heavy fields. We obtain the effective action that determines the time evolution of the \emph{reduced} density matrix for the light field in a non-perturbative Dyson resummation of one-loop correlations of the heavy fields. The Von-Neumann \emph{entanglement entropy} associated with the reduced density matrix is obtained for the non-resonant and resonant cases in the asymptotic long time limit. In the non-resonant case the reduced density matrix displays an \emph{incipient} thermalization albeit with a wave-vector, time and coupling dependent \emph{effective temperature} as a consequence of memory of initial conditions. The entanglement entropy is time independent and is the \emph{thermal entropy} for this effective, non-equilibrium temperature. In the resonant case the light field fully \emph{thermalizes} with the heavy fields, the reduced density matrix looses memory of the initial conditions and the entanglement entropy becomes the \emph{thermal entropy} of the light field. We discuss the relation between the entanglement entropy ultraviolet divergences and renormalization.
|
1711.05140
|
Ram Brustein
|
Ram Brustein, Yotam Sherf
|
Causality Violations in Lovelock Theories
|
Replaced to agree with the published version. Many typos corrected,
text revised, results and conclusions unchanged
|
Phys. Rev. D 97, 084019 (2018)
|
10.1103/PhysRevD.97.084019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Higher-derivative gravity theories, such as Lovelock theories, generalize
Einstein's general relativity (GR). Modifications to GR are expected when
curvatures are near Planckian and appear in string theory or supergravity. But
can such theories describe gravity on length scales much larger than the Planck
cutoff length scale? Here we find causality constraints on Lovelock theories
that arise from the requirement that the equations of motion (EOM) of
perturbations be hyperbolic. We find a general expression for the "effective
metric" in field space when Lovelock theories are perturbed around some
symmetric background solution. In particular, we calculate explicitly the
effective metric for a general Lovelock theory perturbed around cosmological
Friedman-Robertson-Walker backgrounds and for some specific cases when
perturbed around Schwarzschild-like solutions. For the EOM to be hyperbolic,
the effective metric needs to be Lorentzian. We find that, unlike for GR, the
effective metric is generically not Lorentzian when the Lovelock modifications
are significant. So, we conclude that Lovelock theories can only be considered
as perturbative extensions of GR and not as truly modified theories of gravity.
We compare our results to those in the literature and find that they agree with
and reproduce the results of previous studies.
|
[
{
"created": "Tue, 14 Nov 2017 15:24:03 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2018 06:54:00 GMT",
"version": "v2"
}
] |
2018-04-25
|
[
[
"Brustein",
"Ram",
""
],
[
"Sherf",
"Yotam",
""
]
] |
Higher-derivative gravity theories, such as Lovelock theories, generalize Einstein's general relativity (GR). Modifications to GR are expected when curvatures are near Planckian and appear in string theory or supergravity. But can such theories describe gravity on length scales much larger than the Planck cutoff length scale? Here we find causality constraints on Lovelock theories that arise from the requirement that the equations of motion (EOM) of perturbations be hyperbolic. We find a general expression for the "effective metric" in field space when Lovelock theories are perturbed around some symmetric background solution. In particular, we calculate explicitly the effective metric for a general Lovelock theory perturbed around cosmological Friedman-Robertson-Walker backgrounds and for some specific cases when perturbed around Schwarzschild-like solutions. For the EOM to be hyperbolic, the effective metric needs to be Lorentzian. We find that, unlike for GR, the effective metric is generically not Lorentzian when the Lovelock modifications are significant. So, we conclude that Lovelock theories can only be considered as perturbative extensions of GR and not as truly modified theories of gravity. We compare our results to those in the literature and find that they agree with and reproduce the results of previous studies.
|
2407.17235
|
Hakk{\i} Tuncay Ozer
|
H. T. \"Ozer, Ayt\"ul Filiz
|
On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic
dictionary
|
25 pages,LaTeX. arXiv admin note: text overlap with arXiv:2107.11069
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
This study presents comprehensive examples of $\mathfrak{osp}(\mathcal{N}|2)$
Chern$\,-\,$Simons supergravity on $AdS_3$ for $\mathcal{N}>2$. These
formulations, which include the most general boundary conditions, represent
extensions of previously discovered works $(\textit{Ozer and Filiz$,$Eur Phys J
C 82(5):472, 2022})$ for $\mathcal{N}<3$. In our work, we show that under the
loosest set of boundary conditions, the asymptotic symmetry algebras consist of
two copies of the $\mathfrak{osp}(3|2)_k$ and $\mathfrak{osp}(4|2)_k$ algebras.
We subsequently restrict the gauge fields upon the boundary conditions to
achieve supersymmetric extensions of the Brown$\,-\,$Henneaux boundary
conditions. Based on these results, we finally find that the asymptotic
symmetry algebras are two copies of the $\mathcal{N}=3$ and $\mathcal{N}=4$
superconformal algebras for $\mathcal{N}=(3,3)$ and $\mathcal{N}=(4,4)$
extended higher$\,-\,$spin supergravity theory in $AdS_3$.
|
[
{
"created": "Wed, 24 Jul 2024 12:43:33 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jul 2024 05:03:54 GMT",
"version": "v2"
}
] |
2024-07-31
|
[
[
"Özer",
"H. T.",
""
],
[
"Filiz",
"Aytül",
""
]
] |
This study presents comprehensive examples of $\mathfrak{osp}(\mathcal{N}|2)$ Chern$\,-\,$Simons supergravity on $AdS_3$ for $\mathcal{N}>2$. These formulations, which include the most general boundary conditions, represent extensions of previously discovered works $(\textit{Ozer and Filiz$,$Eur Phys J C 82(5):472, 2022})$ for $\mathcal{N}<3$. In our work, we show that under the loosest set of boundary conditions, the asymptotic symmetry algebras consist of two copies of the $\mathfrak{osp}(3|2)_k$ and $\mathfrak{osp}(4|2)_k$ algebras. We subsequently restrict the gauge fields upon the boundary conditions to achieve supersymmetric extensions of the Brown$\,-\,$Henneaux boundary conditions. Based on these results, we finally find that the asymptotic symmetry algebras are two copies of the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal algebras for $\mathcal{N}=(3,3)$ and $\mathcal{N}=(4,4)$ extended higher$\,-\,$spin supergravity theory in $AdS_3$.
|
2405.17056
|
Jung-Wook Kim
|
Joon-Hwi Kim, Jung-Wook Kim, Sangmin Lee
|
Massive twistor worldline in electromagnetic fields
|
74 pages, 15 figures; (v2) 76 pages, 15 figures; additional
references; extended discussions on singularity structures of axial
scattering eikonal
| null |
10.1007/JHEP08(2024)080
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the (ambi-)twistor model for spinning particles interacting via
electromagnetic field, as a toy model for studying classical dynamics of
gravitating bodies including effects of both spins to all orders. We compute
the momentum kick and spin kick up to one-loop order and show precisely how
they are encoded in the classical eikonal. The all-orders-in-spin effects are
encoded as a dynamical implementation of the Newman-Janis shift, and we find
that the expansion in both spins can be resummed to simple expressions in
special kinematic configurations, at least up to one-loop order. We confirm
that the classical eikonal can be understood as the generator of canonical
transformations that map the in-states of a scattering process to the
out-states. We also remark that cut contributions for converting worldline
propagators from time-symmetric to retarded amount to the iterated action of
the leading eikonal at one-loop order.
|
[
{
"created": "Mon, 27 May 2024 11:25:41 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jun 2024 08:39:23 GMT",
"version": "v2"
}
] |
2024-08-13
|
[
[
"Kim",
"Joon-Hwi",
""
],
[
"Kim",
"Jung-Wook",
""
],
[
"Lee",
"Sangmin",
""
]
] |
We study the (ambi-)twistor model for spinning particles interacting via electromagnetic field, as a toy model for studying classical dynamics of gravitating bodies including effects of both spins to all orders. We compute the momentum kick and spin kick up to one-loop order and show precisely how they are encoded in the classical eikonal. The all-orders-in-spin effects are encoded as a dynamical implementation of the Newman-Janis shift, and we find that the expansion in both spins can be resummed to simple expressions in special kinematic configurations, at least up to one-loop order. We confirm that the classical eikonal can be understood as the generator of canonical transformations that map the in-states of a scattering process to the out-states. We also remark that cut contributions for converting worldline propagators from time-symmetric to retarded amount to the iterated action of the leading eikonal at one-loop order.
|
0705.2059
|
Axel de la Macorra
|
A. de la Macorra and U. Filobello
|
Interacting Tachyon: generic cosmological evolution for a tachyon and a
scalar field
|
13 pages, 5 figures
|
Phys.Rev.D77:023531,2008
|
10.1103/PhysRevD.77.023531
| null |
hep-th
| null |
We study the cosmological evolution of a tachyon scalar field T with a
Dirac-Born-Infeld type lagrangian and potential V(T) coupled to a canonically
normalized scalar field \phi with an arbitrary interaction term B(T,\phi) in
the presence of a barotropic fluid $\rb$, which can be matter or radiation. The
force between the barotropic fluid and the scalar fields is only gravitational.
We show that the dynamics is completely determine by only three parameters L1 =
- V_T/ V^{3/2}, L2= - B_T /B^{3/2} and L3 =-B_{\phi}/B. We determine
analytically theconditions for $\lm_i$ under which the energy density of T,
\phi and $\rb$ have the same redshift. We study the behavior of T and \phi in
the asymptotic limits for L_i and we show the numerical solution for different
interesting cases.
The effective equation of state for the tachyon field changes due to the
interaction with the scalar field and we show that it is possible for a tachyon
field to redshift as matter in the absence of an interaction term B and as
radiation when B is turned on. This result solves then the tachyonic matter
problem.
|
[
{
"created": "Tue, 15 May 2007 00:04:23 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"de la Macorra",
"A.",
""
],
[
"Filobello",
"U.",
""
]
] |
We study the cosmological evolution of a tachyon scalar field T with a Dirac-Born-Infeld type lagrangian and potential V(T) coupled to a canonically normalized scalar field \phi with an arbitrary interaction term B(T,\phi) in the presence of a barotropic fluid $\rb$, which can be matter or radiation. The force between the barotropic fluid and the scalar fields is only gravitational. We show that the dynamics is completely determine by only three parameters L1 = - V_T/ V^{3/2}, L2= - B_T /B^{3/2} and L3 =-B_{\phi}/B. We determine analytically theconditions for $\lm_i$ under which the energy density of T, \phi and $\rb$ have the same redshift. We study the behavior of T and \phi in the asymptotic limits for L_i and we show the numerical solution for different interesting cases. The effective equation of state for the tachyon field changes due to the interaction with the scalar field and we show that it is possible for a tachyon field to redshift as matter in the absence of an interaction term B and as radiation when B is turned on. This result solves then the tachyonic matter problem.
|
hep-th/0407123
|
Paul S. Aspinwall
|
Paul S. Aspinwall
|
D-Branes, Pi-Stability and Theta-Stability
|
16 pages, LaTeX, lecture given at "String Geometry", Snowbird 2004
| null | null |
DUKE-CGTP-04-08
|
hep-th
| null |
We investigate some aspects of Pi-stability of D-branes on Calabi-Yau
threefolds in cases where there is a point in moduli space where the grades
nearly or completely align. We prove that an example of complete alignment is
the case of a collapsed del Pezzo surface. It is shown that there is an open
neighbourhood of such a point for which Pi-stability reduces to theta-stability
of quiver representations. This should be contrasted to the case of the large
radius limit where mu-stability of sheaves cannot be extended out over an open
neighbourhood.
|
[
{
"created": "Wed, 14 Jul 2004 15:31:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aspinwall",
"Paul S.",
""
]
] |
We investigate some aspects of Pi-stability of D-branes on Calabi-Yau threefolds in cases where there is a point in moduli space where the grades nearly or completely align. We prove that an example of complete alignment is the case of a collapsed del Pezzo surface. It is shown that there is an open neighbourhood of such a point for which Pi-stability reduces to theta-stability of quiver representations. This should be contrasted to the case of the large radius limit where mu-stability of sheaves cannot be extended out over an open neighbourhood.
|
hep-th/0101114
|
Philip C. Argyres
|
Philip C. Argyres and K. Narayan
|
String Webs from Field Theory
|
53 pages, 6 figures; more references added
|
JHEP 0103 (2001) 047
|
10.1088/1126-6708/2001/03/047
|
CLNS-00/1704
|
hep-th
| null |
The spectrum of stable electrically and magnetically charged supersymmetric
particles can change discontinuously as one changes the vacuum on the Coulomb
branch of gauge theories with extended supersymmetry in four dimensions. We
show that this decay process can be understood and is well described by
semiclassical field configurations purely in terms of the low energy effective
action on the Coulomb branch even when it occurs at strong coupling. The
resulting picture of the stable supersymmetric spectrum is a generalization of
the ``string web'' picture of these states found in string constructions for
certain theories.
|
[
{
"created": "Wed, 17 Jan 2001 17:20:06 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2001 23:53:59 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jan 2001 02:51:00 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Argyres",
"Philip C.",
""
],
[
"Narayan",
"K.",
""
]
] |
The spectrum of stable electrically and magnetically charged supersymmetric particles can change discontinuously as one changes the vacuum on the Coulomb branch of gauge theories with extended supersymmetry in four dimensions. We show that this decay process can be understood and is well described by semiclassical field configurations purely in terms of the low energy effective action on the Coulomb branch even when it occurs at strong coupling. The resulting picture of the stable supersymmetric spectrum is a generalization of the ``string web'' picture of these states found in string constructions for certain theories.
|
2309.05129
|
Karapet Mkrtchyan
|
Melik Karapetyan, Ruben Manvelyan, Karapet Mkrtchyan
|
On correlation functions of higher-spin currents in arbitrary dimensions
$d>3$
|
38 pages. Clarifications and one reference added. Matches the
published version
|
JHEP 03 (2024) 161
|
10.1007/JHEP03(2024)161
|
Imperial-TP-KM-2023-02
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We revisit the problem of classification and explicit construction of the
conformal three-point correlation functions of currents of arbitrary integer
spin in arbitrary dimensions. For the conserved currents, we set up the
equations for the conservation conditions and solve them completely for some
values of spins, confirming the earlier counting of the number of independent
structures matching them with the higher-spin cubic vertices in one higher
dimension. The general solution for the correlators of conserved currents we
delegate to a follow-up work.
|
[
{
"created": "Sun, 10 Sep 2023 20:29:51 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2024 14:08:28 GMT",
"version": "v2"
}
] |
2024-05-06
|
[
[
"Karapetyan",
"Melik",
""
],
[
"Manvelyan",
"Ruben",
""
],
[
"Mkrtchyan",
"Karapet",
""
]
] |
We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions. For the conserved currents, we set up the equations for the conservation conditions and solve them completely for some values of spins, confirming the earlier counting of the number of independent structures matching them with the higher-spin cubic vertices in one higher dimension. The general solution for the correlators of conserved currents we delegate to a follow-up work.
|
2403.13459
|
Aniello Quaranta
|
Antonio Capolupo and Aniello Quaranta
|
Condensed vacuum generated by spin-spin interaction as a source of axial
current
|
13 pages, no figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We reveal the presence of a new source of axial current due to the condensed
vacuum generated
by the spin-spin interaction. To show this, we consider a quartic Dirac
Lagrangian containing a
spin-spin interaction term, possibly originating from torsion in
Einstein-Cartan-like theories. We
use a mean field approach to analyze the quantized theory. We show that the
diagonalization of the
field Hamiltonian defines a new vacuum state, energetically favored with
respect to the free vacuum.
Such a vacuum, which is a condensate of particle-antiparticle pairs, is
characterized by a nontrivial
expectation value of the axial current operator. The new source of axial
current, here obtained, can
have effects both at the atomic level and at the astrophysical-cosmological
level depending on the
origin of the spin-spin interaction term. The condensate may affect the dark
sector of the universe
at cosmological level and the axial current originated by the vacuum
condensate could be analyzed
in next table top experiments on graphene
|
[
{
"created": "Wed, 20 Mar 2024 10:07:56 GMT",
"version": "v1"
}
] |
2024-03-21
|
[
[
"Capolupo",
"Antonio",
""
],
[
"Quaranta",
"Aniello",
""
]
] |
We reveal the presence of a new source of axial current due to the condensed vacuum generated by the spin-spin interaction. To show this, we consider a quartic Dirac Lagrangian containing a spin-spin interaction term, possibly originating from torsion in Einstein-Cartan-like theories. We use a mean field approach to analyze the quantized theory. We show that the diagonalization of the field Hamiltonian defines a new vacuum state, energetically favored with respect to the free vacuum. Such a vacuum, which is a condensate of particle-antiparticle pairs, is characterized by a nontrivial expectation value of the axial current operator. The new source of axial current, here obtained, can have effects both at the atomic level and at the astrophysical-cosmological level depending on the origin of the spin-spin interaction term. The condensate may affect the dark sector of the universe at cosmological level and the axial current originated by the vacuum condensate could be analyzed in next table top experiments on graphene
|
2009.07107
|
Joris Raeymaekers
|
Delaram Mirfendereski, Joris Raeymaekers and Dieter Van den Bleeken
|
Superconformal mechanics of AdS$_2$ D-brane boundstates
|
27 pages + appendices. V2: typos corrected, references added,
hyperlinks fixed
| null |
10.1007/JHEP12(2020)176
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explicitly construct a family of ${\cal N}=4$ superconformal mechanics of
dyonic particles, generalizing the work of Anninos et
al.\,\cite{Anninos:2013nra} to an arbitrary number of particles. These
mechanics are obtained from a scaling limit of the effective Coulomb branch
description of ${\mathcal N}=4$ quiver quantum mechanics describing D-branes in
type II Calabi-Yau compactifications. In the supergravity description of these
D-branes this limit changes the asymptotics to AdS$_2\times $S$^2\times$CY$_3$.
We exhibit the $D(1,2;0)$ superconformal symmetry and conserved charges of the
mechanics in detail. In addition we present an alternative formulation as a
sigma model on a hyperk\"ahler manifold with torsion.
|
[
{
"created": "Tue, 15 Sep 2020 13:53:40 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2020 13:58:02 GMT",
"version": "v2"
}
] |
2021-02-03
|
[
[
"Mirfendereski",
"Delaram",
""
],
[
"Raeymaekers",
"Joris",
""
],
[
"Bleeken",
"Dieter Van den",
""
]
] |
We explicitly construct a family of ${\cal N}=4$ superconformal mechanics of dyonic particles, generalizing the work of Anninos et al.\,\cite{Anninos:2013nra} to an arbitrary number of particles. These mechanics are obtained from a scaling limit of the effective Coulomb branch description of ${\mathcal N}=4$ quiver quantum mechanics describing D-branes in type II Calabi-Yau compactifications. In the supergravity description of these D-branes this limit changes the asymptotics to AdS$_2\times $S$^2\times$CY$_3$. We exhibit the $D(1,2;0)$ superconformal symmetry and conserved charges of the mechanics in detail. In addition we present an alternative formulation as a sigma model on a hyperk\"ahler manifold with torsion.
|
1005.5392
|
Michael Ambroso
|
Michael Ambroso and Burt A. Ovrut
|
The Mass Spectra, Hierarchy and Cosmology of B-L MSSM Heterotic
Compactifications
|
67 pages, 13 figures
| null |
10.1142/S0217751X11052943
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The matter spectrum of the MSSM, including three right-handed neutrino
supermultiplets and one pair of Higgs-Higgs conjugate superfields, can be
obtained by compactifying the E_{8} x E_{8} heterotic string and M-theory on
Calabi-Yau manifolds with specific SU(4) vector bundles. These theories have
the standard model gauge group augmented by an additional gauged U(1)_{B-L}.
Their minimal content requires that the B-L gauge symmetry be spontaneously
broken by a vacuum expectation value of at least one right-handed sneutrino. In
previous papers, we presented the results of a quasi-analytic renormalization
group analysis showing that B-L gauge symmetry is indeed radiatively broken
with an appropriate B-L/electroweak hierarchy. In this paper, we extend these
results by 1) enlarging the initial parameter space and 2) explicitly
calculating all renormalization group equations numerically, without
approximation. The regions of the initial parameter space leading to realistic
vacua are presented and the B-L/electroweak hierarchy computed over these
regimes. At representative points, the mass spectrum for all sparticles and
Higgs fields is calculated and shown to be consistent with present experimental
bounds. Some fundamental phenomenological signatures of a non-zero right-handed
sneutrino expectation value are discussed, particularly the cosmology and
proton lifetime arising from induced lepton and baryon number violating
interactions.
|
[
{
"created": "Fri, 28 May 2010 20:18:18 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Nov 2010 02:51:07 GMT",
"version": "v2"
}
] |
2015-05-19
|
[
[
"Ambroso",
"Michael",
""
],
[
"Ovrut",
"Burt A.",
""
]
] |
The matter spectrum of the MSSM, including three right-handed neutrino supermultiplets and one pair of Higgs-Higgs conjugate superfields, can be obtained by compactifying the E_{8} x E_{8} heterotic string and M-theory on Calabi-Yau manifolds with specific SU(4) vector bundles. These theories have the standard model gauge group augmented by an additional gauged U(1)_{B-L}. Their minimal content requires that the B-L gauge symmetry be spontaneously broken by a vacuum expectation value of at least one right-handed sneutrino. In previous papers, we presented the results of a quasi-analytic renormalization group analysis showing that B-L gauge symmetry is indeed radiatively broken with an appropriate B-L/electroweak hierarchy. In this paper, we extend these results by 1) enlarging the initial parameter space and 2) explicitly calculating all renormalization group equations numerically, without approximation. The regions of the initial parameter space leading to realistic vacua are presented and the B-L/electroweak hierarchy computed over these regimes. At representative points, the mass spectrum for all sparticles and Higgs fields is calculated and shown to be consistent with present experimental bounds. Some fundamental phenomenological signatures of a non-zero right-handed sneutrino expectation value are discussed, particularly the cosmology and proton lifetime arising from induced lepton and baryon number violating interactions.
|
1510.02464
|
Ying-Hsuan Lin
|
Chi-Ming Chang, Ying-Hsuan Lin
|
Bootstrapping 2D CFTs in the Semiclassical Limit
|
32 pages, 7 figures. v2, v3: references added, minor clarifications
| null |
10.1007/JHEP08(2016)056
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two dimensional conformal field theories in the semiclassical limit.
In this limit, the four-point function is dominated by intermediate primaries
of particular weights along with their descendants, and the crossing equations
simplify drastically. For a four-point function receiving sufficiently small
contributions from the light primaries, the structure constants involving heavy
primaries follow a universal formula. Applying our results to the four-point
function of the $\mathbb Z_2$ twist field in the symmetric product orbifold, we
produce the Hellerman bound and the logarithmically corrected Cardy formula
that is valid for $h \geq c/12$.
|
[
{
"created": "Thu, 8 Oct 2015 19:59:41 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Nov 2015 19:44:23 GMT",
"version": "v2"
},
{
"created": "Sun, 26 Jun 2016 01:37:36 GMT",
"version": "v3"
}
] |
2016-08-24
|
[
[
"Chang",
"Chi-Ming",
""
],
[
"Lin",
"Ying-Hsuan",
""
]
] |
We study two dimensional conformal field theories in the semiclassical limit. In this limit, the four-point function is dominated by intermediate primaries of particular weights along with their descendants, and the crossing equations simplify drastically. For a four-point function receiving sufficiently small contributions from the light primaries, the structure constants involving heavy primaries follow a universal formula. Applying our results to the four-point function of the $\mathbb Z_2$ twist field in the symmetric product orbifold, we produce the Hellerman bound and the logarithmically corrected Cardy formula that is valid for $h \geq c/12$.
|
hep-th/0207073
|
Saharian
|
R. M. Avagyan, A. A. Saharian, A. H. Yeranyan (Yerevan State
University, Armenia)
|
The Casimir effect in the Fulling-Rindler vacuum
|
23 pages, LaTeX, 3 EPS figures, references added, the general case of
the spatial dimension is considered for the electromagnetic field, accepted
for publication in Phys. Rev. D
|
Phys.Rev.D66:085023,2002
|
10.1103/PhysRevD.66.085023
| null |
hep-th gr-qc quant-ph
| null |
The vacuum expectation values of the energy--momentum tensor are investigated
for massless scalar fields satisfying Dicichlet or Neumann boundary conditions,
and for the electromagnetic field with perfect conductor boundary conditions on
two infinite parallel plates moving by uniform proper acceleration through the
Fulling--Rindler vacuum. The scalar case is considered for general values of
the curvature coupling parameter and in an arbitrary number of spacetime
dimension. The mode--summation method is used with combination of a variant of
the generalized Abel--Plana formula. This allows to extract manifestly the
contributions to the expectation values due to a single boundary. The vacuum
forces acting on the boundaries are presented as a sum of the self--action and
interaction terms. The first one contains well known surface divergences and
needs a further regularization. The interaction forces between the plates are
always attractive for both scalar and electromagnetic cases. An application to
the 'Rindler wall' is discussed.
|
[
{
"created": "Tue, 9 Jul 2002 06:36:53 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Sep 2002 07:59:14 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Avagyan",
"R. M.",
"",
"Yerevan State\n University, Armenia"
],
[
"Saharian",
"A. A.",
"",
"Yerevan State\n University, Armenia"
],
[
"Yeranyan",
"A. H.",
"",
"Yerevan State\n University, Armenia"
]
] |
The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on two infinite parallel plates moving by uniform proper acceleration through the Fulling--Rindler vacuum. The scalar case is considered for general values of the curvature coupling parameter and in an arbitrary number of spacetime dimension. The mode--summation method is used with combination of a variant of the generalized Abel--Plana formula. This allows to extract manifestly the contributions to the expectation values due to a single boundary. The vacuum forces acting on the boundaries are presented as a sum of the self--action and interaction terms. The first one contains well known surface divergences and needs a further regularization. The interaction forces between the plates are always attractive for both scalar and electromagnetic cases. An application to the 'Rindler wall' is discussed.
|
hep-th/0409022
|
Rabin Banerjee
|
Rabin Banerjee
|
Aspects of noncommutative gauge theories and their commutative
equivalents
|
3 pages; Invited talk at the 11th Regional Conference on Mathematics
and Mathematical Physics, IPM Tehran, May 2004. To appear in the conference
proceedings
| null |
10.1142/9789812701862_0044
| null |
hep-th
| null |
We discuss some exact Seiberg--Witten-type maps for noncommutative
electrodynamics. Their implications for anomalies in different (noncommutative
and commutative) descriptions are also analysed.
|
[
{
"created": "Thu, 2 Sep 2004 05:24:26 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Banerjee",
"Rabin",
""
]
] |
We discuss some exact Seiberg--Witten-type maps for noncommutative electrodynamics. Their implications for anomalies in different (noncommutative and commutative) descriptions are also analysed.
|
2406.20074
|
Alexey Gavshin
|
Dmitry Galakhov, Alexei Gavshin, Alexei Morozov, and Nikita Tselousov
|
Algorithms for representations of quiver Yangian algebras
|
41 pages, 9 figures
| null | null | null |
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note, we aim to review algorithms for constructing crystal
representations of quiver Yangians in detail. Quiver Yangians are believed to
describe an action of the BPS algebra on BPS states in systems of D-branes
wrapping toric Calabi-Yau three-folds. Crystal modules of these algebras
originate from molten crystal models for Donaldson-Thomas invariants of
respective three-folds. Despite the fact that this subject was originally at
the crossroads of algebraic geometry with effective supersymmetric field
theories, equivariant toric action simplifies applied calculations drastically.
So the sole pre-requisite for this algorithm's implementation is linear
algebra. It can be easily taught to a machine with the help of any symbolic
calculation system. Moreover, these algorithms may be generalized to toroidal
and elliptic algebras and exploited in various numerical experiments with those
algebras. We illustrate the work of the algorithms in applications to simple
cases of $\mathsf{Y}(\mathfrak{sl}_2)$,
$\mathsf{Y}(\widehat{\mathfrak{gl}}_{1})$ and
$\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$.
|
[
{
"created": "Fri, 28 Jun 2024 17:34:10 GMT",
"version": "v1"
}
] |
2024-07-01
|
[
[
"Galakhov",
"Dmitry",
""
],
[
"Gavshin",
"Alexei",
""
],
[
"Morozov",
"Alexei",
""
],
[
"Tselousov",
"Nikita",
""
]
] |
In this note, we aim to review algorithms for constructing crystal representations of quiver Yangians in detail. Quiver Yangians are believed to describe an action of the BPS algebra on BPS states in systems of D-branes wrapping toric Calabi-Yau three-folds. Crystal modules of these algebras originate from molten crystal models for Donaldson-Thomas invariants of respective three-folds. Despite the fact that this subject was originally at the crossroads of algebraic geometry with effective supersymmetric field theories, equivariant toric action simplifies applied calculations drastically. So the sole pre-requisite for this algorithm's implementation is linear algebra. It can be easily taught to a machine with the help of any symbolic calculation system. Moreover, these algorithms may be generalized to toroidal and elliptic algebras and exploited in various numerical experiments with those algebras. We illustrate the work of the algorithms in applications to simple cases of $\mathsf{Y}(\mathfrak{sl}_2)$, $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1})$ and $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$.
|
2212.10398
|
Nicol\`o Petri
|
Yolanda Lozano, Nicol\`o Petri, Cristian Risco
|
Line defects as brane boxes in Gaiotto-Maldacena geometries
|
34 pages, 10 figures. v2: references added
| null |
10.1007/JHEP02(2023)193
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct a new family of $\text{AdS}_2\times S^2\times S^2$ solutions to
Type IIA supergravity with 4 supercharges acting with non-Abelian T-duality on
the recent class constructed in arXiv:2107.12277. We focus on a particular
solution in this class asymptoting locally to an $\text{AdS}_5$
Gaiotto-Maldacena geometry. This solution allows for a line defect
interpretation within the 4d $\mathcal{N}=2$ SCFT dual to this geometry, that
we study in detail. We show that the defect branes, consisting on a non-trivial
intersection of D2-D4-NS5-F1 branes, can be interpreted as baryon vertices
within the 4d $\mathcal{N}=2$ SCFT, whose backreaction gives rise to the
$\text{AdS}_2$ solution. We construct the explicit quiver quantum mechanics
that flows in the IR to the dual SCQM, and show that it can be embedded within
the quiver CFT associated to the $\text{AdS}_5$ solution. The quiver quantum
mechanics arises from a brane box set-up of D2-branes stretched between
perpendicular NS5-branes, that we construct from the $\text{AdS}_2$ solution.
We provide non-trivial checks of our proposed duality. Our construction
provides one further example of the successful applications of non-Abelian
T-duality to holography, in this case in providing a very non-trivial
connection between $\text{AdS}_2$ solutions, line defects and brane boxes.
|
[
{
"created": "Tue, 20 Dec 2022 16:25:54 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Dec 2022 12:36:30 GMT",
"version": "v2"
}
] |
2023-03-22
|
[
[
"Lozano",
"Yolanda",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Risco",
"Cristian",
""
]
] |
We construct a new family of $\text{AdS}_2\times S^2\times S^2$ solutions to Type IIA supergravity with 4 supercharges acting with non-Abelian T-duality on the recent class constructed in arXiv:2107.12277. We focus on a particular solution in this class asymptoting locally to an $\text{AdS}_5$ Gaiotto-Maldacena geometry. This solution allows for a line defect interpretation within the 4d $\mathcal{N}=2$ SCFT dual to this geometry, that we study in detail. We show that the defect branes, consisting on a non-trivial intersection of D2-D4-NS5-F1 branes, can be interpreted as baryon vertices within the 4d $\mathcal{N}=2$ SCFT, whose backreaction gives rise to the $\text{AdS}_2$ solution. We construct the explicit quiver quantum mechanics that flows in the IR to the dual SCQM, and show that it can be embedded within the quiver CFT associated to the $\text{AdS}_5$ solution. The quiver quantum mechanics arises from a brane box set-up of D2-branes stretched between perpendicular NS5-branes, that we construct from the $\text{AdS}_2$ solution. We provide non-trivial checks of our proposed duality. Our construction provides one further example of the successful applications of non-Abelian T-duality to holography, in this case in providing a very non-trivial connection between $\text{AdS}_2$ solutions, line defects and brane boxes.
|
1509.05546
|
Julien Serreau
|
Florian Gautier and Julien Serreau
|
Scalar field correlator in de Sitter space at next-to-leading order in a
1/N expansion
|
14 pages, 5 figures, published version (Phys. Rev. D)
|
Phys. Rev. D 92, 105035 (2015)
|
10.1103/PhysRevD.92.105035
|
TUM-HEP-1015/15
|
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of light quantum scalar fields in de Sitter space on
superhorizon scales. We compute the self-energy of an O(N) symmetric theory at
next-to-leading order in a 1/N expansion in the regime of superhorizon momenta,
and we obtain an exact analytical solution of the corresponding Dyson-Schwinger
equations for the two-point correlator. This amounts to resumming the infinite
series of nonlocal self-energy insertions, which typically generate spurious
infrared and/or secular divergences. The potentially large de Sitter logarithms
resum into well-behaved power laws from which we extract the field strength and
mass renormalization. The nonperturbative 1/N expansion allows us to discuss
the case of vanishing and negative tree-level square mass, which both
correspond to strongly coupled effective theories in the infrared.
|
[
{
"created": "Fri, 18 Sep 2015 08:35:51 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Nov 2015 13:57:24 GMT",
"version": "v2"
}
] |
2015-12-09
|
[
[
"Gautier",
"Florian",
""
],
[
"Serreau",
"Julien",
""
]
] |
We study the dynamics of light quantum scalar fields in de Sitter space on superhorizon scales. We compute the self-energy of an O(N) symmetric theory at next-to-leading order in a 1/N expansion in the regime of superhorizon momenta, and we obtain an exact analytical solution of the corresponding Dyson-Schwinger equations for the two-point correlator. This amounts to resumming the infinite series of nonlocal self-energy insertions, which typically generate spurious infrared and/or secular divergences. The potentially large de Sitter logarithms resum into well-behaved power laws from which we extract the field strength and mass renormalization. The nonperturbative 1/N expansion allows us to discuss the case of vanishing and negative tree-level square mass, which both correspond to strongly coupled effective theories in the infrared.
|
hep-th/9501129
|
Sudhakar Panda
|
Debashis Ghoshal and Sudhakar Panda
|
Antibracket as the Hamiltonian Structure of a classical integrable
system
|
Latex, 6 pages, no figures
|
Phys.Lett. B353 (1995) 483-487
|
10.1016/0370-2693(95)00638-2
|
MRI-PHY/20/94
|
hep-th
| null |
The time evolution in a supersymmetric extension of the
Kodomtsev-Petviashvilli hierarchy, a classical integrable system, is shown to
be Hamiltonian. The canonical bracket associated to the Hamiltonian evolution
is the classical analog of the antibracket encountered in the quantization of
gauge theories. This provides a new understanding of supersymmetric Hamiltonian
systems.
|
[
{
"created": "Fri, 27 Jan 1995 17:05:58 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Ghoshal",
"Debashis",
""
],
[
"Panda",
"Sudhakar",
""
]
] |
The time evolution in a supersymmetric extension of the Kodomtsev-Petviashvilli hierarchy, a classical integrable system, is shown to be Hamiltonian. The canonical bracket associated to the Hamiltonian evolution is the classical analog of the antibracket encountered in the quantization of gauge theories. This provides a new understanding of supersymmetric Hamiltonian systems.
|
hep-th/9412115
|
Paul S. Aspinwall
|
Paul Aspinwall
|
The Moduli Space of N = 2 Superconformal Field Theories
|
LaTeX, 53 pages, 7 figures
| null | null |
CLNS-94/1307
|
hep-th
| null |
We review the structure of the moduli space of particular N = (2,2)
superconformal field theories. We restrict attention to those of particular use
in superstring compactification, namely those with central charge c = 3d for
some integer d and whose NS fields have integer U(1) charge. The cases d = 1, 2
and 3 are analyzed. It is shown that in the case d >= 3 it is important to use
techniques of algebraic geometry rather than rely on metric-based ideas. The
phase structure of these moduli spaces is discussed in some detail. (Lectures
Delivered at Trieste Summer School, 1994.)
|
[
{
"created": "Mon, 12 Dec 1994 20:54:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Aspinwall",
"Paul",
""
]
] |
We review the structure of the moduli space of particular N = (2,2) superconformal field theories. We restrict attention to those of particular use in superstring compactification, namely those with central charge c = 3d for some integer d and whose NS fields have integer U(1) charge. The cases d = 1, 2 and 3 are analyzed. It is shown that in the case d >= 3 it is important to use techniques of algebraic geometry rather than rely on metric-based ideas. The phase structure of these moduli spaces is discussed in some detail. (Lectures Delivered at Trieste Summer School, 1994.)
|
0912.5517
|
Dmitry Melnikov
|
Ivan Gordeli and Dmitry Melnikov
|
On I-even Singlet Glueballs in the Klebanov-Strassler Theory
|
12 pages, 2 figures
|
JHEP 1108:082,2011
|
10.1007/JHEP08(2011)082
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this note we study vector fluctuations over the Klebanov-Strassler type
IIB supergravity solution that are even under the I-conjugation. We are
interested only in the states invariant under the global SU(2)x SU(2) symmetry.
Apart from the glueball dual to the R-current there is one more 1++ state,
which is a member of a massive vector multiplet containing also a scalar 0++.
Combined with previous results, our analysis allows to complete the list of low
energy singlet supermultiplets in the Klebanov-Strassler theory.
|
[
{
"created": "Wed, 30 Dec 2009 18:59:15 GMT",
"version": "v1"
}
] |
2011-08-25
|
[
[
"Gordeli",
"Ivan",
""
],
[
"Melnikov",
"Dmitry",
""
]
] |
In this note we study vector fluctuations over the Klebanov-Strassler type IIB supergravity solution that are even under the I-conjugation. We are interested only in the states invariant under the global SU(2)x SU(2) symmetry. Apart from the glueball dual to the R-current there is one more 1++ state, which is a member of a massive vector multiplet containing also a scalar 0++. Combined with previous results, our analysis allows to complete the list of low energy singlet supermultiplets in the Klebanov-Strassler theory.
|
hep-th/9210033
|
Joost Zegwaard
|
Joost Zegwaard
|
The weaving of curved geometries
|
9 pages, THU-92/28
|
Phys.Lett. B300 (1993) 217-222
|
10.1016/0370-2693(93)90356-M
| null |
hep-th
| null |
In the physical interpretation of states in non-perturbative loop quantum
gravity the so-called weave states play an important role. Until now only
weaves representing flat geometries have been introduced explicitly. In this
paper the construction of weaves for non-flat geometries is described; in
particular, weaves representing the Schwarzschild solution are constructed.
|
[
{
"created": "Wed, 7 Oct 1992 18:06:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Zegwaard",
"Joost",
""
]
] |
In the physical interpretation of states in non-perturbative loop quantum gravity the so-called weave states play an important role. Until now only weaves representing flat geometries have been introduced explicitly. In this paper the construction of weaves for non-flat geometries is described; in particular, weaves representing the Schwarzschild solution are constructed.
|
1910.12352
|
Suddhasattwa Brahma
|
Suddhasattwa Brahma
|
The trans-Planckian censorship conjecture from the swampland distance
conjecture
|
11 pages, comments welcome; v2: mistake corrected & argument
improved; v3: matches published version
|
Phys. Rev. D 101, 046013 (2020)
|
10.1103/PhysRevD.101.046013
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Starting from the swampland distance conjecture, and using the species bound
for a large number of weakly-coupled particles, we give a derivation of the
recently proposed trans-Planckian censorship conjecture. Our argument
demonstrates how a quantum gravity principle requires that trans-Planckian
quantum fluctuations should never cross the Hubble horizon. We also comment on
how logarithmic corrections to the de-Sitter conjecture arise naturally from
such an approach when one relaxes the requirement of traversing parametrically
large distances on field space.
|
[
{
"created": "Sun, 27 Oct 2019 21:05:54 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Nov 2019 21:55:34 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Feb 2020 19:47:10 GMT",
"version": "v3"
}
] |
2020-02-24
|
[
[
"Brahma",
"Suddhasattwa",
""
]
] |
Starting from the swampland distance conjecture, and using the species bound for a large number of weakly-coupled particles, we give a derivation of the recently proposed trans-Planckian censorship conjecture. Our argument demonstrates how a quantum gravity principle requires that trans-Planckian quantum fluctuations should never cross the Hubble horizon. We also comment on how logarithmic corrections to the de-Sitter conjecture arise naturally from such an approach when one relaxes the requirement of traversing parametrically large distances on field space.
|
2312.17317
|
Gon\c{c}alo Quinta
|
Gon\c{c}alo M. Quinta, Antonino Flachi
|
Vacuum Energy from Qubit Entropy
|
7 pages, typos corrected, small restructure of the main text and
conclusions section expanded. Included finite temperature effects and
expanded section of virtual qubits
| null | null | null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a non-conventional description of the vacuum energy in quantum
field theory in terms of quantum entropy. Precisely, we show that the vacuum
energy of any non-interacting quantum field at zero temperature is proportional
to the quantum entropy of the qubit degrees of freedom associated with virtual
fluctuations. We prove this for fermions first, and then extend the derivation
to quanta of any spin. Finally, we use these results to obtain the first law of
thermodynamics for a non-interacting quantum vacuum at zero temperature.
|
[
{
"created": "Thu, 28 Dec 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jan 2024 10:02:05 GMT",
"version": "v2"
},
{
"created": "Tue, 7 May 2024 10:38:26 GMT",
"version": "v3"
}
] |
2024-05-08
|
[
[
"Quinta",
"Gonçalo M.",
""
],
[
"Flachi",
"Antonino",
""
]
] |
We develop a non-conventional description of the vacuum energy in quantum field theory in terms of quantum entropy. Precisely, we show that the vacuum energy of any non-interacting quantum field at zero temperature is proportional to the quantum entropy of the qubit degrees of freedom associated with virtual fluctuations. We prove this for fermions first, and then extend the derivation to quanta of any spin. Finally, we use these results to obtain the first law of thermodynamics for a non-interacting quantum vacuum at zero temperature.
|
1002.4656
|
James Lucietti
|
Hari K. Kunduri, James Lucietti
|
An infinite class of extremal horizons in higher dimensions
|
42 pages, latex. v2: corrected section 6.1, two references added. v3:
modified angular momentum and corrected area comparison, version to be
published in Commun. Math. Phys
|
Commun.Math.Phys.303:31-71,2011
|
10.1007/s00220-011-1192-2
|
Alberta Thy 02-10, Imperial/TP/2010/JL/01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a new class of near-horizon geometries which solve Einstein's
vacuum equations, including a negative cosmological constant, in all even
dimensions greater than four. Spatial sections of the horizon are inhomogeneous
S^2-bundles over any compact Kaehler-Einstein manifold. For a given base, the
solutions are parameterised by one continuous parameter (the angular momentum)
and an integer which determines the topology of the horizon. In six dimensions
the horizon topology is either S^2 x S^2 or CP^2 # -CP^2. In higher dimensions
the S^2-bundles are always non-trivial, and for a fixed base, give an infinite
number of distinct horizon topologies. Furthermore, depending on the choice of
base we can get examples of near-horizon geometries with a single rotational
symmetry (the minimal dimension for this is eight). All of our horizon
geometries are consistent with all known topology and symmetry constraints for
the horizons of asymptotically flat or globally Anti de Sitter extremal black
holes.
|
[
{
"created": "Thu, 25 Feb 2010 11:57:26 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Mar 2010 20:13:14 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2011 13:53:23 GMT",
"version": "v3"
}
] |
2011-03-15
|
[
[
"Kunduri",
"Hari K.",
""
],
[
"Lucietti",
"James",
""
]
] |
We present a new class of near-horizon geometries which solve Einstein's vacuum equations, including a negative cosmological constant, in all even dimensions greater than four. Spatial sections of the horizon are inhomogeneous S^2-bundles over any compact Kaehler-Einstein manifold. For a given base, the solutions are parameterised by one continuous parameter (the angular momentum) and an integer which determines the topology of the horizon. In six dimensions the horizon topology is either S^2 x S^2 or CP^2 # -CP^2. In higher dimensions the S^2-bundles are always non-trivial, and for a fixed base, give an infinite number of distinct horizon topologies. Furthermore, depending on the choice of base we can get examples of near-horizon geometries with a single rotational symmetry (the minimal dimension for this is eight). All of our horizon geometries are consistent with all known topology and symmetry constraints for the horizons of asymptotically flat or globally Anti de Sitter extremal black holes.
|
hep-th/0006230
|
Christoph Adam
|
C. Adam, B. Muratori, C. Nash
|
Particle creation via relaxing hypermagnetic knots
|
Latex, 10 pages, no figures
|
Phys.Rev. D62 (2000) 105027
|
10.1103/PhysRevD.62.105027
| null |
hep-th
| null |
We demonstrate that particle production for fermions coupled chirally to an
Abelian gauge field like the hypercharge field is provided by the microscopic
mechanism of level crossing. For this purpose we use recent results on zero
modes of Dirac operators for a class of localized hypermagnetic knots.
|
[
{
"created": "Thu, 29 Jun 2000 12:44:56 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Adam",
"C.",
""
],
[
"Muratori",
"B.",
""
],
[
"Nash",
"C.",
""
]
] |
We demonstrate that particle production for fermions coupled chirally to an Abelian gauge field like the hypercharge field is provided by the microscopic mechanism of level crossing. For this purpose we use recent results on zero modes of Dirac operators for a class of localized hypermagnetic knots.
|
2206.07979
|
Alok Laddha
|
Mrunmay Jagadale, Alok Laddha
|
Towards Positive Geometries of Massive Scalar field theories
|
39 pages, 8 figures
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
Building on the prior work in [1] we locate a family of positive geometries
in the kinematic space which are a specific class of convex realisations of the
associahedron. These realisations are obtained by scaling and translating the
kinematic space associahedron discovered by by Arkani-Hamed, Bai, He and Yan
(ABHY). We call the resulting polytopes, deformed realisations of the
associahedron. The deformed realisations shed new light on the CHY formula. One
of the striking discoveries in [2] was the fact that the CHY scattering
equations generate diffeomorphism between the (compactified) CHY moduli space
and the ABHY associahedron. As we argue, the deformed realisation of the
associahedron can also be interpreted as an diffeomorphic image of the CHY
moduli space under scattering equations that we call deformed scattering
equations. The canonical form in the kinematic space is thus once again the
push-forward of the Parke-Taylor form . A natural off-shoot of our analysis is
the universality of the Parke-Taylor form as a CHY Integrand for a class of
(tree-level and planar) multi-scalar field amplitudes. These ideas help us in
proving the existence of positive geometries for certain specific multi-scalar
interactions. We prove that in a field theory with a massless and a massive
bi-adjoint scalar fields which interact via cubic interaction, the tree-level
S-matrix with massless external states and at most one massive propagator is a
weighted sum over the canonical forms defined by certain deformed realisations
of the associahedron. Finally, we show that these ideas admit an extension to
one-loop. In particular, the one loop S-matrix integrand with at most one
massive propagator is a weighted sum over canonical forms of a family of
deformed realisations of the type-D cluster polytope, discovered in [3,4].
|
[
{
"created": "Thu, 16 Jun 2022 07:42:25 GMT",
"version": "v1"
}
] |
2022-06-17
|
[
[
"Jagadale",
"Mrunmay",
""
],
[
"Laddha",
"Alok",
""
]
] |
Building on the prior work in [1] we locate a family of positive geometries in the kinematic space which are a specific class of convex realisations of the associahedron. These realisations are obtained by scaling and translating the kinematic space associahedron discovered by by Arkani-Hamed, Bai, He and Yan (ABHY). We call the resulting polytopes, deformed realisations of the associahedron. The deformed realisations shed new light on the CHY formula. One of the striking discoveries in [2] was the fact that the CHY scattering equations generate diffeomorphism between the (compactified) CHY moduli space and the ABHY associahedron. As we argue, the deformed realisation of the associahedron can also be interpreted as an diffeomorphic image of the CHY moduli space under scattering equations that we call deformed scattering equations. The canonical form in the kinematic space is thus once again the push-forward of the Parke-Taylor form . A natural off-shoot of our analysis is the universality of the Parke-Taylor form as a CHY Integrand for a class of (tree-level and planar) multi-scalar field amplitudes. These ideas help us in proving the existence of positive geometries for certain specific multi-scalar interactions. We prove that in a field theory with a massless and a massive bi-adjoint scalar fields which interact via cubic interaction, the tree-level S-matrix with massless external states and at most one massive propagator is a weighted sum over the canonical forms defined by certain deformed realisations of the associahedron. Finally, we show that these ideas admit an extension to one-loop. In particular, the one loop S-matrix integrand with at most one massive propagator is a weighted sum over canonical forms of a family of deformed realisations of the type-D cluster polytope, discovered in [3,4].
|
1706.07110
|
Bom Soo Kim
|
Bom Soo Kim
|
Entanglement Entropy with Background Gauge Fields
|
37 pages, v2: some formulas in section 4.3 are corrected
|
JHEP 1708 (2017) 041
|
10.1007/JHEP08(2017)041
| null |
hep-th cond-mat.stat-mech quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the entanglement entropy, the R\'enyi entropy, and the mutual
(R\'enyi) information of Dirac fermions on a 2 dimensional torus in the
presence of constant gauge fields. We derive their general formulas using the
equivalence between twisted boundary conditions and the background gauge
fields. Novel and interesting physical consequences have been presented in
arXiv:1705.01859. Here we provide detailed computations of the entropies and
mutual information in a low temperature limit, a large radius limit, and a high
temperature limit. The high temperature limit reveals rather different physical
properties compared to those of the low temperature one: there exist two
non-trivial limits that depend on a modulus parameter and are not smoothly
connected.
|
[
{
"created": "Wed, 21 Jun 2017 20:18:00 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Aug 2018 18:00:29 GMT",
"version": "v2"
}
] |
2018-08-31
|
[
[
"Kim",
"Bom Soo",
""
]
] |
We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between twisted boundary conditions and the background gauge fields. Novel and interesting physical consequences have been presented in arXiv:1705.01859. Here we provide detailed computations of the entropies and mutual information in a low temperature limit, a large radius limit, and a high temperature limit. The high temperature limit reveals rather different physical properties compared to those of the low temperature one: there exist two non-trivial limits that depend on a modulus parameter and are not smoothly connected.
|
hep-th/0210170
|
Cosmas Zachos
|
Cosmas K Zachos and Thomas L Curtright
|
Deformation Quantization, Superintegrability, and Nambu Mechanics
|
hip-artc.sty LaTeX, 5 pages, Invited talk by CZ at the Wigner
Centennial Conference, Pecs, Hungary
|
Acta Phys.Hung.19:199-203,2004; Acta Phys.Hung.A19:199-203,2004
| null |
ANL-HEP-CP-02-089, Miami TH-4-02
|
hep-th
| null |
Phase Space is the framework best suited for quantizing superintegrable
systems--systems with more conserved quantities than degrees of freedom. In
this quantization method, the symmetry algebras of the hamiltonian invariants
are preserved most naturally. We illustrate the power and simplicity of the
method through new applications to nonlinear sigma-models, specifically for
Chiral Models and de Sitter N-spheres, where the symmetric quantum hamiltonians
amount to compact and elegant expressions, in accord with the Groenewold-van
Hove theorem. Additional power and elegance is provided by the use of Nambu
Brackets (linked to Dirac Brackets) involving the extra invariants of
superintegrable models. The quantization of Nambu Brackets is then successfully
compared to that of Moyal, validating Nambu's original proposal, while
invalidating other proposals.
|
[
{
"created": "Thu, 17 Oct 2002 16:20:19 GMT",
"version": "v1"
}
] |
2009-10-02
|
[
[
"Zachos",
"Cosmas K",
""
],
[
"Curtright",
"Thomas L",
""
]
] |
Phase Space is the framework best suited for quantizing superintegrable systems--systems with more conserved quantities than degrees of freedom. In this quantization method, the symmetry algebras of the hamiltonian invariants are preserved most naturally. We illustrate the power and simplicity of the method through new applications to nonlinear sigma-models, specifically for Chiral Models and de Sitter N-spheres, where the symmetric quantum hamiltonians amount to compact and elegant expressions, in accord with the Groenewold-van Hove theorem. Additional power and elegance is provided by the use of Nambu Brackets (linked to Dirac Brackets) involving the extra invariants of superintegrable models. The quantization of Nambu Brackets is then successfully compared to that of Moyal, validating Nambu's original proposal, while invalidating other proposals.
|
hep-th/0102061
|
Saurya Das
|
Andrei Barvinsky (Lebedev Inst), Saurya Das (U. of Winnipeg), Gabor
Kunstatter (U. of Winnipeg)
|
Quantum Mechanics of Charged Black Holes
|
5 pages, Latex. Minor changes. To appear in Phys. Lett. B
|
Phys.Lett.B517:415-420,2001
|
10.1016/S0370-2693(01)00983-2
| null |
hep-th gr-qc
| null |
We quantize the spherically symmetric sector of generic charged black holes.
Thermal properties are encorporated by imposing periodicity in Euclidean time,
with period equal to the inverse Hawking temperature of the black hole. This
leads to an exact quantization of the area (A) and charge (Q) operators. For
the Reissner-Nordstr\"om black hole, $A=4\pi G \hbar (2n+p+1)$ and $Q=me$, for
integers $n,p,m$. Consistency requires the fine structure constant to be
quantized: $e^2/\hbar=p/m^2$. Remarkably, vacuum fluctuations exclude extremal
black holes from the spectrum, while near extremal black holes are highly
quantum objects. We also prove that horizon area is an adiabatic invariant.
|
[
{
"created": "Mon, 12 Feb 2001 20:00:25 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2001 22:43:06 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Barvinsky",
"Andrei",
"",
"Lebedev Inst"
],
[
"Das",
"Saurya",
"",
"U. of Winnipeg"
],
[
"Kunstatter",
"Gabor",
"",
"U. of Winnipeg"
]
] |
We quantize the spherically symmetric sector of generic charged black holes. Thermal properties are encorporated by imposing periodicity in Euclidean time, with period equal to the inverse Hawking temperature of the black hole. This leads to an exact quantization of the area (A) and charge (Q) operators. For the Reissner-Nordstr\"om black hole, $A=4\pi G \hbar (2n+p+1)$ and $Q=me$, for integers $n,p,m$. Consistency requires the fine structure constant to be quantized: $e^2/\hbar=p/m^2$. Remarkably, vacuum fluctuations exclude extremal black holes from the spectrum, while near extremal black holes are highly quantum objects. We also prove that horizon area is an adiabatic invariant.
|
1211.1657
|
Valentin Bonzom
|
Valentin Bonzom
|
New 1/N expansions in random tensor models
|
18 pages, 13 figures. v2: more figures, and 1/N expansions for
rectangular tensors
| null |
10.1007/JHEP06(2013)062
|
pi-qg-306
|
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Although random tensor models were introduced twenty years ago, it is only in
2011 that Gurau proved the existence of a 1/N expansion. Here we show that
there actually is more than a single 1/N expansion, depending on the dimension.
These new expansions can be used to define tensor models for `rectangular'
tensors (whose indices have different sizes). In the large N limit, they retain
more than the melonic graphs. Still, in most cases, the large N limit is found
to be Gaussian, and therefore extends the scope of the universality theorem for
large random tensors. Nevertheless, a scaling which leads to non-Gaussian large
N limits, in even dimensions, is identified for the first time.
|
[
{
"created": "Wed, 7 Nov 2012 20:15:15 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2013 13:05:36 GMT",
"version": "v2"
}
] |
2015-06-12
|
[
[
"Bonzom",
"Valentin",
""
]
] |
Although random tensor models were introduced twenty years ago, it is only in 2011 that Gurau proved the existence of a 1/N expansion. Here we show that there actually is more than a single 1/N expansion, depending on the dimension. These new expansions can be used to define tensor models for `rectangular' tensors (whose indices have different sizes). In the large N limit, they retain more than the melonic graphs. Still, in most cases, the large N limit is found to be Gaussian, and therefore extends the scope of the universality theorem for large random tensors. Nevertheless, a scaling which leads to non-Gaussian large N limits, in even dimensions, is identified for the first time.
|
hep-th/9909102
|
Finn Larsen
|
Finn Larsen
|
Rotating Kaluza-Klein Black Holes
|
27 pages; v2: refs added, improved discussion of the extremal limit;
v3: note added, to appear in Nucl. Phys. B
|
Nucl.Phys. B575 (2000) 211-230
|
10.1016/S0550-3213(00)00064-X
| null |
hep-th
| null |
All regular four-dimensional black holes are constructed in the theory
obtained by Kaluza-Klein reduction of five-dimensional Einstein gravity. They
are interpreted in string theory as rotating bound states of D0- and D6-branes.
Conservation of angular momentum is important for the stability of the bound
states. The thermodynamics, the duality symmetries, and the near-horizon limit
are explored.
|
[
{
"created": "Wed, 15 Sep 1999 21:52:27 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 1999 19:43:14 GMT",
"version": "v2"
},
{
"created": "Fri, 4 Feb 2000 23:34:26 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Larsen",
"Finn",
""
]
] |
All regular four-dimensional black holes are constructed in the theory obtained by Kaluza-Klein reduction of five-dimensional Einstein gravity. They are interpreted in string theory as rotating bound states of D0- and D6-branes. Conservation of angular momentum is important for the stability of the bound states. The thermodynamics, the duality symmetries, and the near-horizon limit are explored.
|
hep-th/0302100
|
Hugo Reinhardt
|
H. Reinhardt and T. Tok
|
Spectral flow of the Dirac spectrum in intersecting vortices
|
19 pages, 11 figures, references added, minor corrections
|
Phys.Rev. D68 (2003) 065004
|
10.1103/PhysRevD.68.065004
|
UNITU-THEP-3/2003
|
hep-th
| null |
The spectrum of the Dirac Hamiltonian in the background of crossing vortices
is studied. To exploit the index theorem, and in analogy to the lattice the
space-time manifold is chosen to be the four-torus $\T^4$. For sake of
simplicity we consider two idealized cases: infinitely fat and thin
transversally intersecting vortices. The time-dependent spectrum of the Dirac
Hamiltonian is calculated and in particular the influence of the vortex
crossing on the quark spectrum is investigated. For the infinitely fat
intersecting vortices it is found that zero modes of the four-dimensional Dirac
operator can be expressed in terms of those eigenspinors of the Euclidean
time-dependent Dirac Hamiltonian, which cross zero energy. For thin
intersecting vortices the time gradient of the spectral flow of the Dirac
Hamiltonian is steepest at the time at which the vortices cross each other.
|
[
{
"created": "Thu, 13 Feb 2003 19:55:30 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2003 15:24:53 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Reinhardt",
"H.",
""
],
[
"Tok",
"T.",
""
]
] |
The spectrum of the Dirac Hamiltonian in the background of crossing vortices is studied. To exploit the index theorem, and in analogy to the lattice the space-time manifold is chosen to be the four-torus $\T^4$. For sake of simplicity we consider two idealized cases: infinitely fat and thin transversally intersecting vortices. The time-dependent spectrum of the Dirac Hamiltonian is calculated and in particular the influence of the vortex crossing on the quark spectrum is investigated. For the infinitely fat intersecting vortices it is found that zero modes of the four-dimensional Dirac operator can be expressed in terms of those eigenspinors of the Euclidean time-dependent Dirac Hamiltonian, which cross zero energy. For thin intersecting vortices the time gradient of the spectral flow of the Dirac Hamiltonian is steepest at the time at which the vortices cross each other.
|
0812.4998
|
Yong-Chang Huang
|
Yong-Chang Huang (1, 2), Qiu-Hong Huo (1) ((1,2) Y. C. Huang,
Institute of Theoretical Physics, Beijing University of Technology, Beijing,
China, (2) CCAST (World Lab.), Beijing, China)
|
Faddeev-Senjanovic Quantization of SU(n) N=2 Supersymmetric Gauge Field
System with Non-Abelian Chern-Simons Topological Term and Its Fractional Spin
|
14 pages
|
Phys.Lett.B662:290-296,2008
|
10.1016/j.physletb.2008.03.017
| null |
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
Using Faddeev-Senjanovic path integral quantization for constrained Hamilton
system, we quantize SU(n) N=2 supersymmetric gauge field system with
non-abelian Chern-Simons topological term in 2+1 dimensions, and use
consistency of a gauge condition naturally to deduce another gauge condition.
Further, we get the generating functional of Green function in phase space,
deduce the angular momentum based on the global canonical Noether theorem at
quantum level, obtain the fractional spin of this supersymmetric system, and
show that the total angular momentum has the orbital angular momentum and spin
angular momentum of the non-abelian gauge field. Finally, we find out the
anomalous fractional spin and discover that the fractional spin has the
contributions of both the group superscript components and the A_0^s (x)
charge.
|
[
{
"created": "Tue, 30 Dec 2008 01:59:04 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 2009 16:05:08 GMT",
"version": "v2"
}
] |
2009-01-13
|
[
[
"Huang",
"Yong-Chang",
""
],
[
"Huo",
"Qiu-Hong",
""
]
] |
Using Faddeev-Senjanovic path integral quantization for constrained Hamilton system, we quantize SU(n) N=2 supersymmetric gauge field system with non-abelian Chern-Simons topological term in 2+1 dimensions, and use consistency of a gauge condition naturally to deduce another gauge condition. Further, we get the generating functional of Green function in phase space, deduce the angular momentum based on the global canonical Noether theorem at quantum level, obtain the fractional spin of this supersymmetric system, and show that the total angular momentum has the orbital angular momentum and spin angular momentum of the non-abelian gauge field. Finally, we find out the anomalous fractional spin and discover that the fractional spin has the contributions of both the group superscript components and the A_0^s (x) charge.
|
hep-th/9709189
|
Bernard Piette
|
B. Piette and D. H. Tchrakian
|
Static solutions in the U(1) gauged Skyrme model
|
latex : 20 pages, 7 Postscript figures, addition to acknoledgements
|
Phys.Rev. D62 (2000) 025020
|
10.1103/PhysRevD.62.025020
|
DTP-97/41
|
hep-th
| null |
We use a prescription to gauge the su(2) Skyrme model with a U(1) field,
characterised by a conserved Baryonic current. This model reverts to the usual
Skyrme model in the limit of the gauge coupling constant vanishing. We show
that there exist axially symmetric static solutions with zero magnetic charge,
which can be electrically either charged or uncharged. The energies of the
(uncharged) gauged Skyrmions are less than the energy of the (usual) ungauged
Skyrmion. For physical values of the parameters the impact of the U(1) field is
very small, so that it can be treated as a perturbation to the (ungauged)
spherically symmetric Hedgehog. This allows the perturbative calculation of the
magnetic moment.
|
[
{
"created": "Fri, 26 Sep 1997 09:11:50 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Mar 2000 11:25:57 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Apr 2000 13:24:47 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Piette",
"B.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] |
We use a prescription to gauge the su(2) Skyrme model with a U(1) field, characterised by a conserved Baryonic current. This model reverts to the usual Skyrme model in the limit of the gauge coupling constant vanishing. We show that there exist axially symmetric static solutions with zero magnetic charge, which can be electrically either charged or uncharged. The energies of the (uncharged) gauged Skyrmions are less than the energy of the (usual) ungauged Skyrmion. For physical values of the parameters the impact of the U(1) field is very small, so that it can be treated as a perturbation to the (ungauged) spherically symmetric Hedgehog. This allows the perturbative calculation of the magnetic moment.
|
hep-th/9506139
|
Igor Pesando
|
Igor Pesando
|
Exact Results for the Supersymmetric $G_2$ Gauge Theories
|
LaTex, 15 pages
|
Mod. Phys. Lett. A10 (1995) 1871
|
10.1142/S0217732395002027
|
NORDITA-95/42 P
|
hep-th
| null |
We study the $N=1$ supersymmetric $G_2$ gauge theories with $N_f$ flavors of
quarks in the fundamental vector representation. We find dynamically generated
superpotentials, smooth quantum moduli space, quantum moduli space with
additional mesons, non trivial IR fixed points.
|
[
{
"created": "Wed, 21 Jun 1995 11:50:18 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Pesando",
"Igor",
""
]
] |
We study the $N=1$ supersymmetric $G_2$ gauge theories with $N_f$ flavors of quarks in the fundamental vector representation. We find dynamically generated superpotentials, smooth quantum moduli space, quantum moduli space with additional mesons, non trivial IR fixed points.
|
2309.05648
|
Brett D. Altschul
|
Joshua O'Connor and Brett Altschul
|
Radiation from an Oscillating Dipole in the Presence of Photon-Sector
CPT and Lorentz Violation
|
22 pages
|
Phys. Rev. D 109, 045005 (2024)
|
10.1103/PhysRevD.109.045005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine one of the standard loci for studying electromagnetic wave
emission -- the radiation from an oscillating electric dipole -- in a model in
which the electromagnetic sector is modified to include novel CPT- and
Lorentz-violating propagation effects involving a preferred axial vector
background. We evaluate the vacuum-birefringent radiation fields, including
nonperturbative terms where appropriate. In general, the energy-momentum
carried by the fields in this model is known to have a complicated
nonperturbative structure, which cannot be captured by naive power series
expansions in the components of the preferred background vector. However, we
nevertheless find that at the lowest nontrivial orders, there are actually no
modifications to the Larmor expressions for the energy-momentum emission.
|
[
{
"created": "Mon, 11 Sep 2023 17:39:32 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2024 22:31:54 GMT",
"version": "v2"
}
] |
2024-02-07
|
[
[
"O'Connor",
"Joshua",
""
],
[
"Altschul",
"Brett",
""
]
] |
We examine one of the standard loci for studying electromagnetic wave emission -- the radiation from an oscillating electric dipole -- in a model in which the electromagnetic sector is modified to include novel CPT- and Lorentz-violating propagation effects involving a preferred axial vector background. We evaluate the vacuum-birefringent radiation fields, including nonperturbative terms where appropriate. In general, the energy-momentum carried by the fields in this model is known to have a complicated nonperturbative structure, which cannot be captured by naive power series expansions in the components of the preferred background vector. However, we nevertheless find that at the lowest nontrivial orders, there are actually no modifications to the Larmor expressions for the energy-momentum emission.
|
2008.08570
|
Douglas Stanford
|
Douglas Stanford
|
More quantum noise from wormholes
|
15 pages plus appendices
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For black hole evaporation to be unitary, the naive density matrix of Hawking
radiation needs to be corrected with a sprinkling of pseudorandom "noise."
Using wormholes, semiclassical gravity appears to describe an averaged "true
random" theory of this noise. We discuss the wormholes in dilaton gravity
theories with matter. They are classical solutions that depend on a small
amount of backreaction from matter fields, and they are closely related to the
wormholes that give the Page curve.
|
[
{
"created": "Wed, 19 Aug 2020 17:54:10 GMT",
"version": "v1"
}
] |
2020-08-20
|
[
[
"Stanford",
"Douglas",
""
]
] |
For black hole evaporation to be unitary, the naive density matrix of Hawking radiation needs to be corrected with a sprinkling of pseudorandom "noise." Using wormholes, semiclassical gravity appears to describe an averaged "true random" theory of this noise. We discuss the wormholes in dilaton gravity theories with matter. They are classical solutions that depend on a small amount of backreaction from matter fields, and they are closely related to the wormholes that give the Page curve.
|
2407.05865
|
Sebastian Garcia-Saenz
|
Nicolas Boulanger, Sebastian Garcia-Saenz, Songsong Pan, Lucas Traina
|
Cubic interactions for massless and partially massless spin-1 and spin-2
fields
|
26 pages
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a complete classification of the consistent two-derivative cubic
couplings for a system containing an arbitrary number of massless spin-1,
massless spin-2, and partially massless (PM) spin-2 fields in $D$-dimensional
(anti-)de Sitter space. In addition to previously known results, we find a
unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the
quadratic constraints on the structure constants of the theory, allowing for
relative ``wrong-sign'' kinetic terms for any of the fields. In the particular
case when the kinetic terms in each sector have no relative signs, we find that
the unique consistent non-trivial theory is given by multiple independent
copies of conformal gravity coupled to a Yang-Mills sector in $D=4$. Our
results strengthen the well-known no-go theorems on the absence of mutual
interactions for massless and PM spin-2 fields.
|
[
{
"created": "Mon, 8 Jul 2024 12:29:37 GMT",
"version": "v1"
}
] |
2024-07-09
|
[
[
"Boulanger",
"Nicolas",
""
],
[
"Garcia-Saenz",
"Sebastian",
""
],
[
"Pan",
"Songsong",
""
],
[
"Traina",
"Lucas",
""
]
] |
We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in $D$-dimensional (anti-)de Sitter space. In addition to previously known results, we find a unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the quadratic constraints on the structure constants of the theory, allowing for relative ``wrong-sign'' kinetic terms for any of the fields. In the particular case when the kinetic terms in each sector have no relative signs, we find that the unique consistent non-trivial theory is given by multiple independent copies of conformal gravity coupled to a Yang-Mills sector in $D=4$. Our results strengthen the well-known no-go theorems on the absence of mutual interactions for massless and PM spin-2 fields.
|
1706.08456
|
Francesco Aprile
|
F.Aprile, J.M.Drummond, P.Heslop, H.Paul
|
Unmixing Supergravity
|
46 pages, 1 figure. Typos fixed, journal version
| null |
10.1007/JHEP02(2018)133
|
DCPT-17/19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills
theory in the supergravity limit. At large $N$ double-trace operators exhibit
degeneracy. By considering free-field and tree-level supergravity contributions
to four-point functions of half-BPS operators we resolve the degeneracy for a
large family of double-trace operators. The mixing problem reveals a
surprisingly simple structure which allows us to obtain their three-point
functions at leading order in the large $N$ expansion as well as their leading
anomalous dimensions.
|
[
{
"created": "Mon, 26 Jun 2017 16:11:34 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Feb 2018 19:54:04 GMT",
"version": "v2"
}
] |
2018-04-04
|
[
[
"Aprile",
"F.",
""
],
[
"Drummond",
"J. M.",
""
],
[
"Heslop",
"P.",
""
],
[
"Paul",
"H.",
""
]
] |
We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills theory in the supergravity limit. At large $N$ double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to four-point functions of half-BPS operators we resolve the degeneracy for a large family of double-trace operators. The mixing problem reveals a surprisingly simple structure which allows us to obtain their three-point functions at leading order in the large $N$ expansion as well as their leading anomalous dimensions.
|
1112.1906
|
Mads Sogaard
|
Mads Sogaard
|
Bilocal phase operators in beta-deformed super Yang-Mills
|
26 pages, 1 figure; v3: typos corrected, journal version
|
Phys.Rev.D86:085016,2012
|
10.1103/PhysRevD.86.085016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present tree-level scattering amplitudes in beta-deformed super Yang-Mills
theory in terms of new generating functions, derived by construction of a phase
operator and application thereof to the N = 4 superamplitudes. The technique is
explicitly illustrated for the MHV and NMHV sectors. Along these lines we
propose a phase representation of the N = 4 superconformal algebra realized on
deformed amplitudes in the planar limit. Validity of the MHV vertex expansion
is proven and a connection to non-planar multi-loop unitarity cuts is
established. Our derivations are also compatible with the related
gamma-deformation.
|
[
{
"created": "Thu, 8 Dec 2011 18:33:44 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2012 17:24:20 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Nov 2012 13:27:57 GMT",
"version": "v3"
}
] |
2015-03-19
|
[
[
"Sogaard",
"Mads",
""
]
] |
We present tree-level scattering amplitudes in beta-deformed super Yang-Mills theory in terms of new generating functions, derived by construction of a phase operator and application thereof to the N = 4 superamplitudes. The technique is explicitly illustrated for the MHV and NMHV sectors. Along these lines we propose a phase representation of the N = 4 superconformal algebra realized on deformed amplitudes in the planar limit. Validity of the MHV vertex expansion is proven and a connection to non-planar multi-loop unitarity cuts is established. Our derivations are also compatible with the related gamma-deformation.
|
2212.13644
|
Luca Ciambelli
|
Luca Ciambelli
|
From Asymptotic Symmetries to the Corner Proposal
|
Lecture notes (XVIII Modave summer school in mathematical physics),
V3, Typos fixed and References added
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
These notes are a transcript of lectures given by the author in the XVIII
Modave summer school in mathematical physics. The introduction is devoted to a
detailed review of the literature on asymptotic symmetries, flat holography,
and the corner proposal. It covers much more material than needed, for it is
meant as a lamppost to help the reader in navigating the vast existing
literature. The notes then consist of three main parts. The first is devoted to
Noether's theorems and their underlying framework, the covariant phase space
formalism, with special focus on gauge theories. The surface-charges algebra is
shown to projectively represent the asymptotic symmetry algebra. Issues arising
in the gravitational case, such as conservation, finiteness, and integrability,
are addressed. In the second part, we introduce the geometric concept of
corners, and show the existence of a universal asymptotic symmetry group at
corners. A careful treatment of corner embeddings provides a resolution to the
issue of integrability, by extending the phase space. In the last part we
bridge asymptotic symmetries and corners by formulating the corner proposal. In
essence, the latter focuses on the central question of extracting from
classical gravity universal results that are expected to hold in the quantum
realm. After reviewing the coadjoint orbit method and Atiyah Lie algebroids, we
apply these concepts to the corner proposal. Exercises are solved in the notes,
to elucidate the arguments exposed.
|
[
{
"created": "Tue, 27 Dec 2022 23:45:32 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2023 19:23:16 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jul 2023 09:34:43 GMT",
"version": "v3"
}
] |
2023-07-13
|
[
[
"Ciambelli",
"Luca",
""
]
] |
These notes are a transcript of lectures given by the author in the XVIII Modave summer school in mathematical physics. The introduction is devoted to a detailed review of the literature on asymptotic symmetries, flat holography, and the corner proposal. It covers much more material than needed, for it is meant as a lamppost to help the reader in navigating the vast existing literature. The notes then consist of three main parts. The first is devoted to Noether's theorems and their underlying framework, the covariant phase space formalism, with special focus on gauge theories. The surface-charges algebra is shown to projectively represent the asymptotic symmetry algebra. Issues arising in the gravitational case, such as conservation, finiteness, and integrability, are addressed. In the second part, we introduce the geometric concept of corners, and show the existence of a universal asymptotic symmetry group at corners. A careful treatment of corner embeddings provides a resolution to the issue of integrability, by extending the phase space. In the last part we bridge asymptotic symmetries and corners by formulating the corner proposal. In essence, the latter focuses on the central question of extracting from classical gravity universal results that are expected to hold in the quantum realm. After reviewing the coadjoint orbit method and Atiyah Lie algebroids, we apply these concepts to the corner proposal. Exercises are solved in the notes, to elucidate the arguments exposed.
|
2110.08546
|
Evgenii Ievlev
|
E. Ievlev, A. Yung
|
Critical Non-Abelian Vortex and Holography for Little String Theory
|
34 pages + appendices, 1 figure
| null |
10.1103/PhysRevD.104.114033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been shown that non-Abelian vortex string supported in four
dimensional (4D) ${\mathcal N}=2$ supersymmetric QCD (SQCD) with the U(2) gauge
group and $N_f = 4$ quark flavors becomes a critical superstring. This string
propagates in the ten dimensional space formed by a product of the flat 4D
space and an internal space given by a Calabi-Yau non-compact threefold,
namely, the conifold. The spectrum of closed string states of the associated
string theory was obtained using the equivalence between the critical string on
the conifold and the non-critical string on the semi-infinite cigar described
by SL($2, \mathbb{R}$)/U(1) Wess-Zumino-Novikov-Witten model. This spectrum was
identified with the spectrum of hadrons in 4D ${\mathcal N}=2$ SQCD. In order
to describe effective interactions of these 4D hadrons in this paper we study
correlation functions of normalizable vertex operators localized near the tip
of the SL($2, \mathbb{R}$)/U(1) cigar. We also compare our solitonic string
approach to the gauge-string duality to the AdS/CFT-type holography for little
string theories (LSTs). The latter relates off mass-shell correlation functions
on the field theory side to correlation functions of non-normalizable vertex
operators on the cigar. We show that in most channels holographic approach
works in our theory because normalizable and non-normalizable vertex operators
with the same conformal dimension are related due to the reflection from the
tip of the cigar. However, we find that holography does not work for lightest
hadrons with given baryonic charge.
|
[
{
"created": "Sat, 16 Oct 2021 10:56:36 GMT",
"version": "v1"
}
] |
2022-01-12
|
[
[
"Ievlev",
"E.",
""
],
[
"Yung",
"A.",
""
]
] |
It has been shown that non-Abelian vortex string supported in four dimensional (4D) ${\mathcal N}=2$ supersymmetric QCD (SQCD) with the U(2) gauge group and $N_f = 4$ quark flavors becomes a critical superstring. This string propagates in the ten dimensional space formed by a product of the flat 4D space and an internal space given by a Calabi-Yau non-compact threefold, namely, the conifold. The spectrum of closed string states of the associated string theory was obtained using the equivalence between the critical string on the conifold and the non-critical string on the semi-infinite cigar described by SL($2, \mathbb{R}$)/U(1) Wess-Zumino-Novikov-Witten model. This spectrum was identified with the spectrum of hadrons in 4D ${\mathcal N}=2$ SQCD. In order to describe effective interactions of these 4D hadrons in this paper we study correlation functions of normalizable vertex operators localized near the tip of the SL($2, \mathbb{R}$)/U(1) cigar. We also compare our solitonic string approach to the gauge-string duality to the AdS/CFT-type holography for little string theories (LSTs). The latter relates off mass-shell correlation functions on the field theory side to correlation functions of non-normalizable vertex operators on the cigar. We show that in most channels holographic approach works in our theory because normalizable and non-normalizable vertex operators with the same conformal dimension are related due to the reflection from the tip of the cigar. However, we find that holography does not work for lightest hadrons with given baryonic charge.
|
1109.3542
|
Jae-Weon Lee Prof.
|
Jae-Weon Lee
|
Quantum entanglement from the holographic principle
|
3 page, 1 figure
| null | null | null |
hep-th astro-ph.CO gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is suggested that quantum entanglement emerges from the holographic
principle stating that all of the information of a region (bulk bits) can be
described by the bits on its boundary surface. There are redundancy and
information loss in the bulk bits that lead to the nonlocal correlation among
the bulk bits. Quantum field theory overestimates the independent degrees of
freedom in the bulk. The maximum entanglement in the universe increases as the
size of the cosmic horizon and this could be related with the arrow of time and
dark energy.
|
[
{
"created": "Fri, 16 Sep 2011 07:50:40 GMT",
"version": "v1"
}
] |
2015-10-29
|
[
[
"Lee",
"Jae-Weon",
""
]
] |
It is suggested that quantum entanglement emerges from the holographic principle stating that all of the information of a region (bulk bits) can be described by the bits on its boundary surface. There are redundancy and information loss in the bulk bits that lead to the nonlocal correlation among the bulk bits. Quantum field theory overestimates the independent degrees of freedom in the bulk. The maximum entanglement in the universe increases as the size of the cosmic horizon and this could be related with the arrow of time and dark energy.
|
hep-th/0111137
|
A. I. Nikishov
|
A.I.Nikishov (Lededev Physical Institute)
|
On the theory of scalar pair production by a potential barrier
|
19 pages, LATEX2e, no figures, some typos corrected, some additions
| null | null |
FIAN/TD/01-15
|
hep-th
| null |
The problem of the scalar pair production by a one-dimensional vector-
potential $A_{\mu}(x_3)$ is reduced to the $S-$ matrix formalism of the theory
with an unstable vacuum. Our choice of in- and out-states does not coincide
with that of other authors and we argue extensively in favor of our choice. In
terms of our classification the states that can be created by the field enter
into the field operator in the same way as do the states that cannot be created
by the field, i.e. the field operator has the usual form. We show that the norm
of a solution of the wave equation is determined by one of the amplitude of its
asymptotic form for $x_3\to \pm\infty$. For the step potential and for the
constant field potential we get the explicit expressions for the complete in-
and out-sets of orthonormalized wave functions. For the constant electric field
we obtain the scalar particle propagator in terms of the stationary states and
show that with our choice of in- and out-states it has the form dictated by the
general theory.
|
[
{
"created": "Thu, 15 Nov 2001 14:05:24 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2003 13:12:43 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Nikishov",
"A. I.",
"",
"Lededev Physical Institute"
]
] |
The problem of the scalar pair production by a one-dimensional vector- potential $A_{\mu}(x_3)$ is reduced to the $S-$ matrix formalism of the theory with an unstable vacuum. Our choice of in- and out-states does not coincide with that of other authors and we argue extensively in favor of our choice. In terms of our classification the states that can be created by the field enter into the field operator in the same way as do the states that cannot be created by the field, i.e. the field operator has the usual form. We show that the norm of a solution of the wave equation is determined by one of the amplitude of its asymptotic form for $x_3\to \pm\infty$. For the step potential and for the constant field potential we get the explicit expressions for the complete in- and out-sets of orthonormalized wave functions. For the constant electric field we obtain the scalar particle propagator in terms of the stationary states and show that with our choice of in- and out-states it has the form dictated by the general theory.
|
hep-th/0611196
|
Allan Joseph Michael Medved
|
A.J.M. Medved
|
An Implication of "Gravity as the Weakest Force"
|
7 pages; v2 some discussion clarified
|
Mod.Phys.Lett.A22:2605-2610,2007
|
10.1142/S0217732307022906
|
WITS-CTP-030
|
hep-th
| null |
The negative specific heat of a radiating black hole is indicative of a
cataclysmic endpoint to the evaporation process. In this letter, we suggest a
simple mechanism for circumventing such a dramatic outcome. The basis for our
argument is a conjecture that was recently proposed by Arkani-Hamed and
collaborators. To put it another way, we use their notion of ``Gravity as the
Weakest Force'' as a means of inhibiting the process of black hole evaporation.
|
[
{
"created": "Fri, 17 Nov 2006 15:33:49 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2006 13:32:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Medved",
"A. J. M.",
""
]
] |
The negative specific heat of a radiating black hole is indicative of a cataclysmic endpoint to the evaporation process. In this letter, we suggest a simple mechanism for circumventing such a dramatic outcome. The basis for our argument is a conjecture that was recently proposed by Arkani-Hamed and collaborators. To put it another way, we use their notion of ``Gravity as the Weakest Force'' as a means of inhibiting the process of black hole evaporation.
|
hep-th/9905101
|
Kenichi
|
Kenichi Horie
|
Inequivalent Quantizations of Gauge Theories
|
24 pages, LaTeX, to be publ. in Int.J.Mod.Phys. A
|
Int.J.Mod.Phys. A14 (1999) 2023-2036
|
10.1142/S0217751X99001020
| null |
hep-th
| null |
It is known that the quantization of a system defined on a topologically
non-trivial configuration space is ambiguous in that many inequivalent quantum
systems are possible. This is the case for multiply connected spaces as well as
for coset spaces. Recently, a new framework for these inequivalent
quantizations approach has been proposed by McMullan and Tsutsui, which is
based on a generalized Dirac approach. We employ this framework for the
quantization of the Yang-Mills theory in the simplest fashion. The resulting
inequivalent quantum sectors are labelled by quantized non-dynamical
topological charges.
|
[
{
"created": "Fri, 14 May 1999 09:21:27 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Horie",
"Kenichi",
""
]
] |
It is known that the quantization of a system defined on a topologically non-trivial configuration space is ambiguous in that many inequivalent quantum systems are possible. This is the case for multiply connected spaces as well as for coset spaces. Recently, a new framework for these inequivalent quantizations approach has been proposed by McMullan and Tsutsui, which is based on a generalized Dirac approach. We employ this framework for the quantization of the Yang-Mills theory in the simplest fashion. The resulting inequivalent quantum sectors are labelled by quantized non-dynamical topological charges.
|
1409.2204
|
Pavel Motloch
|
Pavel Motloch, Wayne Hu
|
Self-accelerating Massive Gravity: Covariant Perturbation Theory
|
13 pages, no figures, in the new version we have extended the
analysis to the full set of massive gravity parameters
|
Phys. Rev. D 90, 104027 (2014)
|
10.1103/PhysRevD.90.104027
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We undertake a complete and covariant treatment for the quadratic Lagrangian
of all of the degrees of freedom of massive gravity with a fixed flat fiducial
metric for arbitrary massive gravity parameters around any isotropic
self-accelerating background solution. Generically, 3 out of 4 Stuckelberg
degrees of freedom propagate in addition to the usual 2 tensor degrees of
freedom of general relativity. The complete kinetic structure typically is only
revealed at an order in the graviton mass that is equivalently to retaining
curvature terms in a locally flat expansion. These results resolve several
apparent discrepancies in the literature where zero degrees of freedom
propagate in either special cases or approximate treatments as well as
decoupling limit analyses which attempt to count longitudinal degrees of
freedom.
|
[
{
"created": "Mon, 8 Sep 2014 04:43:55 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Oct 2014 19:05:47 GMT",
"version": "v2"
}
] |
2014-11-26
|
[
[
"Motloch",
"Pavel",
""
],
[
"Hu",
"Wayne",
""
]
] |
We undertake a complete and covariant treatment for the quadratic Lagrangian of all of the degrees of freedom of massive gravity with a fixed flat fiducial metric for arbitrary massive gravity parameters around any isotropic self-accelerating background solution. Generically, 3 out of 4 Stuckelberg degrees of freedom propagate in addition to the usual 2 tensor degrees of freedom of general relativity. The complete kinetic structure typically is only revealed at an order in the graviton mass that is equivalently to retaining curvature terms in a locally flat expansion. These results resolve several apparent discrepancies in the literature where zero degrees of freedom propagate in either special cases or approximate treatments as well as decoupling limit analyses which attempt to count longitudinal degrees of freedom.
|
2004.04489
|
Anton Galajinsky
|
Anton Galajinsky
|
Super-Schwarzians via nonlinear realizations
|
V2: 14 pages; presentation improved in the introductory and
concluding sections, two refs. added; the version to appear in JHEP
| null |
10.1007/JHEP06(2020)027
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The N=1 and N=2 super-Schwarzian derivatives were originally introduced by
physicists when computing a finite superconformal transformation of the super
stress-energy tensor underlying a superconformal field theory. Mathematicians
like to think of them as the cocycles describing central extensions of Lie
superalgebras. In this work, a third possibility is discussed which consists in
applying the method of nonlinear realizations to osp(1|2) and su(1,1|1)
superconformal algebras. It is demonstrated that the super-Schwarzians arise
quite naturally, if one decides to keep the number of independent Goldstone
superfields to a minimum.
|
[
{
"created": "Thu, 9 Apr 2020 11:18:32 GMT",
"version": "v1"
},
{
"created": "Mon, 18 May 2020 03:41:34 GMT",
"version": "v2"
}
] |
2020-06-24
|
[
[
"Galajinsky",
"Anton",
""
]
] |
The N=1 and N=2 super-Schwarzian derivatives were originally introduced by physicists when computing a finite superconformal transformation of the super stress-energy tensor underlying a superconformal field theory. Mathematicians like to think of them as the cocycles describing central extensions of Lie superalgebras. In this work, a third possibility is discussed which consists in applying the method of nonlinear realizations to osp(1|2) and su(1,1|1) superconformal algebras. It is demonstrated that the super-Schwarzians arise quite naturally, if one decides to keep the number of independent Goldstone superfields to a minimum.
|
0812.4204
|
Mohammad R. Garousi
|
Mohammad R. Garousi, Ahmad Ghodsi, Tooraj Houri, Mehran Khosravi
|
More on entropy function formalism for non-extremal branes
|
15 pages, no figures
|
JHEP 0903:026,2009
|
10.1088/1126-6708/2009/03/026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find R^4 correction to the non-extremal D1D5P solution of the supergravity
by exactly solving the differential equations of motion and by using the
entropy function formalism. In both cases, we find the same correction to the
supergravity solution. We then calculate the correction to the entropy using
the free energy method and the entropy function formalism. The results are the
same.
|
[
{
"created": "Mon, 22 Dec 2008 17:59:05 GMT",
"version": "v1"
}
] |
2009-03-27
|
[
[
"Garousi",
"Mohammad R.",
""
],
[
"Ghodsi",
"Ahmad",
""
],
[
"Houri",
"Tooraj",
""
],
[
"Khosravi",
"Mehran",
""
]
] |
We find R^4 correction to the non-extremal D1D5P solution of the supergravity by exactly solving the differential equations of motion and by using the entropy function formalism. In both cases, we find the same correction to the supergravity solution. We then calculate the correction to the entropy using the free energy method and the entropy function formalism. The results are the same.
|
1703.09205
|
Daniel Elander
|
Daniel Elander, Maurizio Piai
|
Calculable mass hierarchies and a light dilaton from gravity duals
|
7 pages, 2 figures. Version accepted for publication in Phys.Lett.B
| null |
10.1016/j.physletb.2017.06.035
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of gauge/gravity dualities, we calculate the scalar and tensor
mass spectrum of the boundary theory defined by a special 8-scalar sigma-model
in five dimensions, the background solutions of which include the 1-parameter
family dual to the baryonic branch of the Klebanov-Strassler field theory. This
provides an example of a strongly-coupled, multi-scale system that yields a
parametrically light mass for one of the composite scalar particles: the
dilaton. We briefly discuss the implications of these findings towards
identifying a satisfactory solution to both the big and little hierarchy
problems of the electro-weak theory.
|
[
{
"created": "Mon, 27 Mar 2017 17:47:44 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 2017 14:19:28 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jun 2017 17:44:48 GMT",
"version": "v3"
}
] |
2017-06-21
|
[
[
"Elander",
"Daniel",
""
],
[
"Piai",
"Maurizio",
""
]
] |
In the context of gauge/gravity dualities, we calculate the scalar and tensor mass spectrum of the boundary theory defined by a special 8-scalar sigma-model in five dimensions, the background solutions of which include the 1-parameter family dual to the baryonic branch of the Klebanov-Strassler field theory. This provides an example of a strongly-coupled, multi-scale system that yields a parametrically light mass for one of the composite scalar particles: the dilaton. We briefly discuss the implications of these findings towards identifying a satisfactory solution to both the big and little hierarchy problems of the electro-weak theory.
|
hep-th/9901007
| null |
Victoria Fernandez, Kang Li and Carlos Naon
|
Bosonic description of a Tomonaga-Luttinger model with impurities
|
8 pages, latex, no figures. Minor correction in eq. (6). Version to
appear in PLB
|
Phys.Lett. B452 (1999) 98-102
|
10.1016/S0370-2693(99)00269-5
|
La Plata-Th 98/22
|
hep-th cond-mat
| null |
We extend a recently proposed non-local version of Coleman's equivalence
between the Thirring and sine-Gordon models to the case in which the original
fermion fields interact with fixed impurities. We explain how our results can
be used in the context of one-dimensional strongly correlated systems (the so
called Tomonaga-Luttinger model) to study the dependence of the charge-density
oscillations on the range of the fermionic interactions.
|
[
{
"created": "Mon, 4 Jan 1999 14:50:49 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Feb 1999 23:20:22 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Fernandez",
"Victoria",
""
],
[
"Li",
"Kang",
""
],
[
"Naon",
"Carlos",
""
]
] |
We extend a recently proposed non-local version of Coleman's equivalence between the Thirring and sine-Gordon models to the case in which the original fermion fields interact with fixed impurities. We explain how our results can be used in the context of one-dimensional strongly correlated systems (the so called Tomonaga-Luttinger model) to study the dependence of the charge-density oscillations on the range of the fermionic interactions.
|
1608.05036
|
Shibaji Roy
|
Kuntal Nayek and Shibaji Roy
|
Decoupling limit and throat geometry of non-susy D3 brane
|
5 pages, no figures; v2: two-column ReVTeX format, shortened with
more clarifications and references, version to appear in Phys Lett B
| null |
10.1016/j.physletb.2017.01.007
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous work, we have shown that, like BPS Dp branes, bulk gravity gets
decoupled from the brane even for the non-susy Dp branes of type II string
theories indicating a possible extension of AdS/CFT correspondence for the
non-supersymmetric case. In that work, the decoupling of gravity on the
non-susy Dp branes has been shown numerically for the general case as well as
analytically for some special case. Here we discuss the decoupling limit and
the throat geometry of the non-susy D3 brane when the charge associated with
the brane is very large. We show that in the decoupling limit the throat
geometry of the non-susy D3 brane, under appropriate coordinate change, reduces
to the Constable-Myers solution and thus confirming that this solution is
indeed the holographic dual of a (non-gravitational) gauge theory discussed
there. We also show that when one of the parameters of the solution takes a
specific value, it reduces, under another coordinate change, to the
five-dimensional solution obtained by Csaki and Reece, again confirming its
gauge theory interpretation.
|
[
{
"created": "Wed, 17 Aug 2016 18:15:38 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2017 17:42:22 GMT",
"version": "v2"
}
] |
2017-03-08
|
[
[
"Nayek",
"Kuntal",
""
],
[
"Roy",
"Shibaji",
""
]
] |
In a previous work, we have shown that, like BPS Dp branes, bulk gravity gets decoupled from the brane even for the non-susy Dp branes of type II string theories indicating a possible extension of AdS/CFT correspondence for the non-supersymmetric case. In that work, the decoupling of gravity on the non-susy Dp branes has been shown numerically for the general case as well as analytically for some special case. Here we discuss the decoupling limit and the throat geometry of the non-susy D3 brane when the charge associated with the brane is very large. We show that in the decoupling limit the throat geometry of the non-susy D3 brane, under appropriate coordinate change, reduces to the Constable-Myers solution and thus confirming that this solution is indeed the holographic dual of a (non-gravitational) gauge theory discussed there. We also show that when one of the parameters of the solution takes a specific value, it reduces, under another coordinate change, to the five-dimensional solution obtained by Csaki and Reece, again confirming its gauge theory interpretation.
|
hep-th/0201024
|
Joseph Kapusta
|
L. P. Csernai, J. I. Kapusta, E. Osnes
|
Domain Wall Dynamics of Phase Interfaces
|
12 pages plus 5 figures
|
Phys.Rev. D67 (2003) 045003
|
10.1103/PhysRevD.67.045003
| null |
hep-th
| null |
The statics and dynamics of a surface separating two phases of a relativistic
quantum field theory at or near the critical temperature typically make use of
a free energy as a functional of an order parameter. This free energy
functional also affords an economical description of states away from
equilibrium. The similarities and differences between using a scalar field as
the order parameter versus the energy density are examined, and a peculiarity
is noted. We also point out several conceptual errors in the literature dealing
with the dynamical prefactor in the nucleation rate.
|
[
{
"created": "Fri, 4 Jan 2002 16:46:37 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Csernai",
"L. P.",
""
],
[
"Kapusta",
"J. I.",
""
],
[
"Osnes",
"E.",
""
]
] |
The statics and dynamics of a surface separating two phases of a relativistic quantum field theory at or near the critical temperature typically make use of a free energy as a functional of an order parameter. This free energy functional also affords an economical description of states away from equilibrium. The similarities and differences between using a scalar field as the order parameter versus the energy density are examined, and a peculiarity is noted. We also point out several conceptual errors in the literature dealing with the dynamical prefactor in the nucleation rate.
|
hep-th/0004150
|
S. Mignemi
|
S. Mignemi (Universita' di Cagliari)
|
A note on the infinite-dimensional symmetries of classical hamiltonian
systems
|
3 pages, plain TeX
| null | null |
INFNCA-TH0007
|
hep-th
| null |
We show that any Hamiltonian system with one degree of freedom is invariant
under a $w_\infty$ algebra of symmetries.
|
[
{
"created": "Fri, 21 Apr 2000 16:20:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mignemi",
"S.",
"",
"Universita' di Cagliari"
]
] |
We show that any Hamiltonian system with one degree of freedom is invariant under a $w_\infty$ algebra of symmetries.
|
hep-th/0202012
|
David Tong
|
David Tong
|
The Moduli Space of BPS Domain Walls
|
16 pages, LaTex, 2 figures; factors of zeta corrected, meaning of
cross-terms elucidated, further clarifying comments; (more) references added
|
Phys.Rev. D66 (2002) 025013
|
10.1103/PhysRevD.66.025013
| null |
hep-th hep-ph nlin.PS
| null |
N=2 SQED with several flavors admits multiple, static BPS domain wall
solutions. We determine the explicit two-kink metric and examine the dynamics
of colliding domain walls. The multi-kink metric has a toric Kahler structure
and we reduce the Kahler potential to quadrature. In the second part of this
paper, we consider semi-local vortices compactified on circle. We argue that,
in the presence of a suitable Wilson line, the vortices separate into domain
wall constituents. These play the role of fractional instantons in
two-dimensional gauge theories and sigma-models.
|
[
{
"created": "Fri, 1 Feb 2002 19:17:01 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2002 15:47:02 GMT",
"version": "v2"
},
{
"created": "Sun, 10 Feb 2002 21:49:12 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Apr 2002 10:54:01 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Tong",
"David",
""
]
] |
N=2 SQED with several flavors admits multiple, static BPS domain wall solutions. We determine the explicit two-kink metric and examine the dynamics of colliding domain walls. The multi-kink metric has a toric Kahler structure and we reduce the Kahler potential to quadrature. In the second part of this paper, we consider semi-local vortices compactified on circle. We argue that, in the presence of a suitable Wilson line, the vortices separate into domain wall constituents. These play the role of fractional instantons in two-dimensional gauge theories and sigma-models.
|
1711.03550
|
Ergin Sezgin
|
Carlo Iazeolla, Ergin Sezgin and Per Sundell
|
On Exact Solutions and Perturbative Schemes in Higher Spin Theory
|
45 pages. Clarifying remarks and references are added. Version
published in Universe, Special Issue on Higher Spin Gauge Theories
| null | null |
MI-TH-1770
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review various methods for finding exact solutions of higher spin theory
in four dimensions, and survey the known exact solutions of (non)minimal
Vasiliev's equations. These include instanton-like and black hole-like
solutions in (A)dS and Kleinian spacetimes. A perturbative construction of
solutions with the symmetries of a domain wall is described as well.
Furthermore, we review two proposed perturbative schemes: one based on
perturbative treatment of the twistor space field equations followed by
inverting Fronsdal kinetic terms using standard Green's functions; and an
alternative scheme based on solving the twistor space field equations exactly
followed by introducing the spacetime dependence using perturbatively defined
gauge functions. Motivated by the need to provide a higher spin invariant
characterization of the exact solutions, aspects of a proposal for a geometric
description of Vasiliev's equation involving an infinite dimensional
generalization of anti de Sitter space is revisited and improved.
|
[
{
"created": "Thu, 9 Nov 2017 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Dec 2017 23:16:08 GMT",
"version": "v2"
}
] |
2018-01-03
|
[
[
"Iazeolla",
"Carlo",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Sundell",
"Per",
""
]
] |
We review various methods for finding exact solutions of higher spin theory in four dimensions, and survey the known exact solutions of (non)minimal Vasiliev's equations. These include instanton-like and black hole-like solutions in (A)dS and Kleinian spacetimes. A perturbative construction of solutions with the symmetries of a domain wall is described as well. Furthermore, we review two proposed perturbative schemes: one based on perturbative treatment of the twistor space field equations followed by inverting Fronsdal kinetic terms using standard Green's functions; and an alternative scheme based on solving the twistor space field equations exactly followed by introducing the spacetime dependence using perturbatively defined gauge functions. Motivated by the need to provide a higher spin invariant characterization of the exact solutions, aspects of a proposal for a geometric description of Vasiliev's equation involving an infinite dimensional generalization of anti de Sitter space is revisited and improved.
|
hep-th/0509157
|
Brent D. Nelson
|
Pierre Binetruy (1), G. L. Kane (2), Joseph Lykken (3) and Brent D.
Nelson (4), ((1) Orsay, LPT & Paris U. VII, APC, (2) U. of Michigan, MCTP,
(3) Fermilab & Chicago U., EFI, (4) U. of Pennsylvania)
|
Twenty-five Questions for String Theorists
|
31 pages
|
J.Phys.G32:129-150,2006
|
10.1088/0954-3899/32/2/006
|
UPR-1133-T
|
hep-th hep-ph
| null |
In an effort to promote communication between the formal and phenomenological
branches of the high-energy theory community, we provide a description of some
important issues in supersymmetric and string phenomenology. We describe each
within the context of string constructions, illustrating them with specific
examples where applicable. Each topic culminates in a set of questions that we
believe are amenable to direct consideration by string theorists, and whose
answers we think could help connect string theory and phenomenology.
|
[
{
"created": "Tue, 20 Sep 2005 20:01:15 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Binetruy",
"Pierre",
""
],
[
"Kane",
"G. L.",
""
],
[
"Lykken",
"Joseph",
""
],
[
"Nelson",
"Brent D.",
""
]
] |
In an effort to promote communication between the formal and phenomenological branches of the high-energy theory community, we provide a description of some important issues in supersymmetric and string phenomenology. We describe each within the context of string constructions, illustrating them with specific examples where applicable. Each topic culminates in a set of questions that we believe are amenable to direct consideration by string theorists, and whose answers we think could help connect string theory and phenomenology.
|
1405.6197
|
Simeon Hellerman
|
Simeon Hellerman, Shunsuke Maeda, Jonathan Maltz, Ian Swanson
|
Effective String Theory Simplified
|
v. 3, minor changes
|
JHEP 1409 (2014) 183
|
10.1007/JHEP09(2014)183
|
IPMU-14-0125
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this set of notes we simplify the formulation of the Poincare'-invariant
effective string theory in D dimensions by adding an intrinsic metric and
embedding its dynamics into the Polyakov formalism. We use this formalism to
construct operators order by order in the inverse physical length of the
string, in a fully gauge-invariant framework. We use this construction to
discuss universality and nonuniversality of observables up to and including
next-to-next-to-leading order in the long string expansion.
|
[
{
"created": "Fri, 23 May 2014 19:59:04 GMT",
"version": "v1"
},
{
"created": "Tue, 27 May 2014 08:13:03 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Aug 2014 06:39:07 GMT",
"version": "v3"
}
] |
2017-02-21
|
[
[
"Hellerman",
"Simeon",
""
],
[
"Maeda",
"Shunsuke",
""
],
[
"Maltz",
"Jonathan",
""
],
[
"Swanson",
"Ian",
""
]
] |
In this set of notes we simplify the formulation of the Poincare'-invariant effective string theory in D dimensions by adding an intrinsic metric and embedding its dynamics into the Polyakov formalism. We use this formalism to construct operators order by order in the inverse physical length of the string, in a fully gauge-invariant framework. We use this construction to discuss universality and nonuniversality of observables up to and including next-to-next-to-leading order in the long string expansion.
|
1306.0609
|
Xingang Chen
|
Xingang Chen, Yi Wang
|
Non-Bunch-Davies Anisotropy
|
10 pages
| null |
10.1088/1475-7516/2014/07/004
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a generic mechanism that can extend the effects of relic
anisotropies at the beginning of inflation to relatively much shorter scales in
density perturbations. This is induced by non-Bunch-Davies states of the
quantum fluctuations, and can show up in the non-oscillatory components of the
density perturbations. This mechanism works for general forms of anisotropies,
and, to illustrate it, we use an example of relic vector field. The detailed
scale-dependence of these anisotropies can be used to probe the initial quantum
state of our universe.
|
[
{
"created": "Mon, 3 Jun 2013 22:08:38 GMT",
"version": "v1"
}
] |
2015-06-16
|
[
[
"Chen",
"Xingang",
""
],
[
"Wang",
"Yi",
""
]
] |
We introduce a generic mechanism that can extend the effects of relic anisotropies at the beginning of inflation to relatively much shorter scales in density perturbations. This is induced by non-Bunch-Davies states of the quantum fluctuations, and can show up in the non-oscillatory components of the density perturbations. This mechanism works for general forms of anisotropies, and, to illustrate it, we use an example of relic vector field. The detailed scale-dependence of these anisotropies can be used to probe the initial quantum state of our universe.
|
1104.2843
|
Nilanjan Sircar
|
S. Kalyana Rama, Swarnendu Sarkar, B. Sathiapalan, Nilanjan Sircar
|
Strong Coupling BCS Superconductivity and Holography
|
minor revisions, numerical analysis has been redone to obtain some
solutions to the complete set of equations, version accepted in Nuclear
Physics B
|
Nucl.Phys. B852: 634-680,2011
|
10.1016/j.nuclphysb.2011.07.011
|
IMSC/2011/04/2, TIFR/TH/11-14
|
hep-th cond-mat.supr-con hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We attempt to give a holographic description of the microscopic theory of a
BCS superconductor. Exploiting the analogy with chiral symmetry breaking in QCD
we use the Sakai-Sugimoto model of two D8 branes in a D4 brane background with
finite baryon number. In this case there is a new tachyonic instability which
is plausibly the bulk analog of the Cooper pairing instability. We analyze the
Yang-Mills approximation to the non-Abelian Born-Infeld action. We give some
exact solutions of the non-linear Yang-Mills equations in flat space and also
give a stability analysis, showing that the instability disappears in the
presence of an electric field. The holograhic picture also suggests a
dependence of $T_c$ on the number density which is different from the usual
(weak coupling) BCS. The flat space solutions are then generalized to curved
space numerically and also, in an approximate way, analytically. This
configuration should then correspond to the ground state of the boundary
superconducting (superfluid) ground state. We also give some preliminary
results on Green functions computations in the Sakai - Sugimoto model without
any chemical potential
|
[
{
"created": "Thu, 14 Apr 2011 17:33:55 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jul 2011 11:29:25 GMT",
"version": "v2"
}
] |
2011-08-22
|
[
[
"Rama",
"S. Kalyana",
""
],
[
"Sarkar",
"Swarnendu",
""
],
[
"Sathiapalan",
"B.",
""
],
[
"Sircar",
"Nilanjan",
""
]
] |
We attempt to give a holographic description of the microscopic theory of a BCS superconductor. Exploiting the analogy with chiral symmetry breaking in QCD we use the Sakai-Sugimoto model of two D8 branes in a D4 brane background with finite baryon number. In this case there is a new tachyonic instability which is plausibly the bulk analog of the Cooper pairing instability. We analyze the Yang-Mills approximation to the non-Abelian Born-Infeld action. We give some exact solutions of the non-linear Yang-Mills equations in flat space and also give a stability analysis, showing that the instability disappears in the presence of an electric field. The holograhic picture also suggests a dependence of $T_c$ on the number density which is different from the usual (weak coupling) BCS. The flat space solutions are then generalized to curved space numerically and also, in an approximate way, analytically. This configuration should then correspond to the ground state of the boundary superconducting (superfluid) ground state. We also give some preliminary results on Green functions computations in the Sakai - Sugimoto model without any chemical potential
|
0704.2198
|
James Cline
|
James M. Cline
|
Braneworld Cosmology
|
14 pages, 2 figures, invited review talk given at "From Strings to
LHC," International Center, Dona Paula, Goa, India, 2-10 Jan. 2007
|
PoSstringsLHC:011,2006
| null |
McGill-07-527
|
hep-th astro-ph hep-ph
| null |
A brief review of the field of braneworld cosmology, from its inception with
the large extra dimension scenario, to aspects of cosmology in warped extra
dimensions, including the RS-I and RS-II models, braneworld inflation, the
Goldberger-Wise mechanism, mirage cosmology, the radion-induced phase
transition in RS-I, possible gravity wave signals, and the DGP model.
|
[
{
"created": "Tue, 17 Apr 2007 16:53:24 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cline",
"James M.",
""
]
] |
A brief review of the field of braneworld cosmology, from its inception with the large extra dimension scenario, to aspects of cosmology in warped extra dimensions, including the RS-I and RS-II models, braneworld inflation, the Goldberger-Wise mechanism, mirage cosmology, the radion-induced phase transition in RS-I, possible gravity wave signals, and the DGP model.
|
1612.08976
|
Georgios Papathanasiou
|
Lance J. Dixon, James Drummond, Thomas Harrington, Andrew J. McLeod,
Georgios Papathanasiou, Marcus Spradlin
|
Heptagons from the Steinmann Cluster Bootstrap
|
43 pages, 2 figures. v2: typos corrected; version to appear in JHEP
| null |
10.1007/JHEP02(2017)137
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We reformulate the heptagon cluster bootstrap to take advantage of the
Steinmann relations, which require certain double discontinuities of any
amplitude to vanish. These constraints vastly reduce the number of functions
needed to bootstrap seven-point amplitudes in planar $\mathcal{N} = 4$
supersymmetric Yang-Mills theory, making higher-loop contributions to these
amplitudes more computationally accessible. In particular, dual superconformal
symmetry and well-defined collinear limits suffice to determine uniquely the
symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We
also show that at three loops, relaxing the dual superconformal ($\bar{Q}$)
relations and imposing dihedral symmetry (and for NMHV the absence of spurious
poles) leaves only a single ambiguity in the heptagon amplitudes. These results
point to a strong tension between the collinear properties of the amplitudes
and the Steinmann relations.
|
[
{
"created": "Wed, 28 Dec 2016 20:21:02 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2017 18:45:57 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Dixon",
"Lance J.",
""
],
[
"Drummond",
"James",
""
],
[
"Harrington",
"Thomas",
""
],
[
"McLeod",
"Andrew J.",
""
],
[
"Papathanasiou",
"Georgios",
""
],
[
"Spradlin",
"Marcus",
""
]
] |
We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number of functions needed to bootstrap seven-point amplitudes in planar $\mathcal{N} = 4$ supersymmetric Yang-Mills theory, making higher-loop contributions to these amplitudes more computationally accessible. In particular, dual superconformal symmetry and well-defined collinear limits suffice to determine uniquely the symbols of the three-loop NMHV and four-loop MHV seven-point amplitudes. We also show that at three loops, relaxing the dual superconformal ($\bar{Q}$) relations and imposing dihedral symmetry (and for NMHV the absence of spurious poles) leaves only a single ambiguity in the heptagon amplitudes. These results point to a strong tension between the collinear properties of the amplitudes and the Steinmann relations.
|
1605.06366
|
Ariel Caticha
|
Ariel Caticha
|
Changes of Variables and the Renormalization Group
|
In v2 several typos have been corrected
| null | null |
Caltech preprint CALT-68-1099
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A class of exact infinitesimal renormalization group transformations is
proposed and studied. These transformations are pure changes of variables
(i.e., no integration or elimination of some degrees of freedom is required)
such that a saddle point approximation is more accurate, becoming, in some
cases asymptotically exact as the transformations are iterated. The formalism
provides a simplified and unified approach to several known renormalization
groups. It also suggests some new ways in which renormalization group methods
might successfully be applied. In particular, an exact gauge covariant
renormalization group transformation is constructed. Solutions for a scalar
field theory are obtained both as an expansion in {\epsilon}=4-d and as an
expansion in a single coupling constant.
|
[
{
"created": "Fri, 20 May 2016 14:15:42 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2017 21:02:09 GMT",
"version": "v2"
}
] |
2017-11-08
|
[
[
"Caticha",
"Ariel",
""
]
] |
A class of exact infinitesimal renormalization group transformations is proposed and studied. These transformations are pure changes of variables (i.e., no integration or elimination of some degrees of freedom is required) such that a saddle point approximation is more accurate, becoming, in some cases asymptotically exact as the transformations are iterated. The formalism provides a simplified and unified approach to several known renormalization groups. It also suggests some new ways in which renormalization group methods might successfully be applied. In particular, an exact gauge covariant renormalization group transformation is constructed. Solutions for a scalar field theory are obtained both as an expansion in {\epsilon}=4-d and as an expansion in a single coupling constant.
|
hep-th/9810251
|
Mariano Cadoni
|
Mariano Cadoni and Salvatore Mignemi
|
Entropy of 2D black holes from counting microstates
|
final version, accepted for publication on Phys. Rev. D
|
Phys.Rev.D59:081501,1999
|
10.1103/PhysRevD.59.081501
|
INFNCA-TH9813
|
hep-th gr-qc
| null |
We present a microscopical derivation of the entropy of the black hole
solutions of the Jackiw-Teitelboim theory. We show that the asymptotic symmetry
of two-dimensional (2D) Anti-de Sitter space is generated by a central
extension of the Virasoro algebra. Using a canonical realization of this
symmetry and Cardy's formula we calculate the statistical entropy of 2D black
holes, which turns out to agree, up to a factor $\sqrt 2$, with the
thermodynamical result.
|
[
{
"created": "Fri, 30 Oct 1998 15:57:21 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 1999 12:13:46 GMT",
"version": "v2"
}
] |
2009-12-30
|
[
[
"Cadoni",
"Mariano",
""
],
[
"Mignemi",
"Salvatore",
""
]
] |
We present a microscopical derivation of the entropy of the black hole solutions of the Jackiw-Teitelboim theory. We show that the asymptotic symmetry of two-dimensional (2D) Anti-de Sitter space is generated by a central extension of the Virasoro algebra. Using a canonical realization of this symmetry and Cardy's formula we calculate the statistical entropy of 2D black holes, which turns out to agree, up to a factor $\sqrt 2$, with the thermodynamical result.
|
1506.02421
|
Sang Kwan Choi
|
Sang Kwan Choi and Chaiho Rim
|
Irregular matrix model with $\mathcal W$ symmetry
|
16 pages, 1 figure; v2: minor corrections, discussion and references
added; v3: minor changes, equation (3.3) corrected
| null |
10.1088/1751-8113/49/7/075201
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present the irregular matrix model which has contains $\mathcal{W}_3$ and
Virasoro symmetry. The irregular matrix model is obtained using the colliding
limit of the Toda field theories and produces the inner product between
irregular modules of $\mathcal{W}_3$ symmetry. We evaluate the partition
function using the flow equation which is the realization of the Virasoro and
$\mathcal{W}$-symmetry.
|
[
{
"created": "Mon, 8 Jun 2015 09:47:47 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Aug 2015 07:30:11 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Nov 2015 07:15:09 GMT",
"version": "v3"
}
] |
2016-02-17
|
[
[
"Choi",
"Sang Kwan",
""
],
[
"Rim",
"Chaiho",
""
]
] |
We present the irregular matrix model which has contains $\mathcal{W}_3$ and Virasoro symmetry. The irregular matrix model is obtained using the colliding limit of the Toda field theories and produces the inner product between irregular modules of $\mathcal{W}_3$ symmetry. We evaluate the partition function using the flow equation which is the realization of the Virasoro and $\mathcal{W}$-symmetry.
|
2306.11632
|
Hyun-Sik Jeong
|
Hugo A. Camargo, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim,
Mitsuhiro Nishida
|
Spectral and Krylov Complexity in Billiard Systems
|
31 pages, 17 figures
|
Phys. Rev. D 109, 046017 (2024)
|
10.1103/PhysRevD.109.046017
|
IFT-UAM/CSIC-23-61
|
hep-th nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigate spectral complexity and Krylov complexity in
quantum billiard systems at finite temperature. We study both circle and
stadium billiards as paradigmatic examples of integrable and non-integrable
quantum-mechanical systems, respectively. We show that the saturation value and
time scale of spectral complexity may be used to probe the non-integrability of
the system since we find that when computed for the circle billiard, it
saturates at a later time scale compared to the stadium billiards. This
observation is verified for different temperatures. Furthermore, we study the
Krylov complexity of the position operator and its associated Lanczos
coefficients at finite temperature using the Wightman inner product. We find
that the growth rate of the Lanczos coefficients saturates the conjectured
universal bound at low temperatures. Additionally, we also find that even a
subset of the Lanczos coefficients can potentially serve as an indicator of
integrability, as they demonstrate erratic behavior specifically in the circle
billiard case, in contrast to the stadium billiard. Finally, we also study
Krylov entropy and verify its early-time logarithmic relation with Krylov
complexity in both types of billiard systems.
|
[
{
"created": "Tue, 20 Jun 2023 16:01:13 GMT",
"version": "v1"
}
] |
2024-03-06
|
[
[
"Camargo",
"Hugo A.",
""
],
[
"Jahnke",
"Viktor",
""
],
[
"Jeong",
"Hyun-Sik",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Nishida",
"Mitsuhiro",
""
]
] |
In this work, we investigate spectral complexity and Krylov complexity in quantum billiard systems at finite temperature. We study both circle and stadium billiards as paradigmatic examples of integrable and non-integrable quantum-mechanical systems, respectively. We show that the saturation value and time scale of spectral complexity may be used to probe the non-integrability of the system since we find that when computed for the circle billiard, it saturates at a later time scale compared to the stadium billiards. This observation is verified for different temperatures. Furthermore, we study the Krylov complexity of the position operator and its associated Lanczos coefficients at finite temperature using the Wightman inner product. We find that the growth rate of the Lanczos coefficients saturates the conjectured universal bound at low temperatures. Additionally, we also find that even a subset of the Lanczos coefficients can potentially serve as an indicator of integrability, as they demonstrate erratic behavior specifically in the circle billiard case, in contrast to the stadium billiard. Finally, we also study Krylov entropy and verify its early-time logarithmic relation with Krylov complexity in both types of billiard systems.
|
2401.10332
|
Samuel Fedida
|
Samuel Fedida, Anupam Mazumdar, Sougato Bose and Alessio Serafini
|
Entanglement Entropy in Scalar Quantum Electrodynamics
|
10 pages, 1 figure
| null |
10.1103/PhysRevD.109.065028
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find the entanglement entropy of a subregion of the vacuum state in scalar
quantum electrodynamics, working perturbatively to the 2-loops level. Doing so
leads us to derive the Maxwell-Proca propagator in conical Euclidean space. The
area law of entanglement entropy is recovered in both the massive and massless
limits of the theory, as is expected. These results yield the renormalisation
group flow of entanglement entropy, and we find that loop contributions
suppress entanglement entropy. We highlight these results in the light of the
renormalization group flow of couplings and correlators, which are increased in
scalar quantum electrodynamics, so that the potential tension between the
increase in correlations between two points of spacetime and the decrease in
entanglement entropy between two regions of spacetime with energy is discussed.
We indeed show that the vacuum of a subregion of spacetime purifies with energy
in scalar quantum electrodynamics, which is related to the concept of
screening.
|
[
{
"created": "Thu, 18 Jan 2024 19:00:11 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 2024 14:19:34 GMT",
"version": "v2"
},
{
"created": "Tue, 26 Mar 2024 09:11:31 GMT",
"version": "v3"
}
] |
2024-04-01
|
[
[
"Fedida",
"Samuel",
""
],
[
"Mazumdar",
"Anupam",
""
],
[
"Bose",
"Sougato",
""
],
[
"Serafini",
"Alessio",
""
]
] |
We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics, working perturbatively to the 2-loops level. Doing so leads us to derive the Maxwell-Proca propagator in conical Euclidean space. The area law of entanglement entropy is recovered in both the massive and massless limits of the theory, as is expected. These results yield the renormalisation group flow of entanglement entropy, and we find that loop contributions suppress entanglement entropy. We highlight these results in the light of the renormalization group flow of couplings and correlators, which are increased in scalar quantum electrodynamics, so that the potential tension between the increase in correlations between two points of spacetime and the decrease in entanglement entropy between two regions of spacetime with energy is discussed. We indeed show that the vacuum of a subregion of spacetime purifies with energy in scalar quantum electrodynamics, which is related to the concept of screening.
|
1304.6721
|
Tudor Dan Dimofte
|
Tudor Dimofte, Davide Gaiotto, Roland van der Veen
|
RG Domain Walls and Hybrid Triangulations
|
82+26 pages, 64 figures
| null | null | null |
hep-th math.GT math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper studies the interplay between the N=2 gauge theories in three and
four dimensions that have a geometric description in terms of twisted
compactification of the six-dimensional (2,0) SCFT. Our main goal is to
construct the three-dimensional domain walls associated to any
three-dimensional cobordism. We find that we can build a variety of 3d theories
that represent the local degrees of freedom at a given domain wall in various
4d duality frames, including both UV S-dual frames and IR Seiberg-Witten
electric-magnetic dual frames. We pay special attention to Janus domain walls,
defined by four-dimensional Lagrangians with position-dependent couplings. If
the couplings on either side of the wall are weak in different UV duality
frames, Janus domain walls reduce to S-duality walls, i.e. domain walls that
encode the properties of UV dualities. If the couplings on one side are weak in
the IR and on the other weak in the UV, Janus domain walls reduce to RG walls,
i.e. domain walls that encode the properties of RG flows. We derive the 3d
geometries associated to both types of domain wall, and test their properties
in simple examples, both through basic field-theoretic considerations and via
comparison with quantum Teichmuller theory. Our main mathematical tool is a
parametrization and quantization of framed flat SL(K) connections on these
geometries based on ideal triangulations.
|
[
{
"created": "Wed, 24 Apr 2013 20:00:02 GMT",
"version": "v1"
}
] |
2013-04-26
|
[
[
"Dimofte",
"Tudor",
""
],
[
"Gaiotto",
"Davide",
""
],
[
"van der Veen",
"Roland",
""
]
] |
This paper studies the interplay between the N=2 gauge theories in three and four dimensions that have a geometric description in terms of twisted compactification of the six-dimensional (2,0) SCFT. Our main goal is to construct the three-dimensional domain walls associated to any three-dimensional cobordism. We find that we can build a variety of 3d theories that represent the local degrees of freedom at a given domain wall in various 4d duality frames, including both UV S-dual frames and IR Seiberg-Witten electric-magnetic dual frames. We pay special attention to Janus domain walls, defined by four-dimensional Lagrangians with position-dependent couplings. If the couplings on either side of the wall are weak in different UV duality frames, Janus domain walls reduce to S-duality walls, i.e. domain walls that encode the properties of UV dualities. If the couplings on one side are weak in the IR and on the other weak in the UV, Janus domain walls reduce to RG walls, i.e. domain walls that encode the properties of RG flows. We derive the 3d geometries associated to both types of domain wall, and test their properties in simple examples, both through basic field-theoretic considerations and via comparison with quantum Teichmuller theory. Our main mathematical tool is a parametrization and quantization of framed flat SL(K) connections on these geometries based on ideal triangulations.
|
1907.04350
|
Johanna Knapp
|
Johanna Knapp, Eric Sharpe
|
GLSMs, joins, and nonperturbatively-realized geometries
|
76 pages, 6 figures; v2: references added
|
JHEP 1912 (2019) 096
|
10.1007/JHEP12(2019)096
|
UWThPh2019-24
|
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we give a gauged linear sigma model (GLSM) realization of pairs
of homologically projective dual Calabi-Yaus that have recently been
constructed in the mathematics literature. Many of the geometries can be
realized mathematically in terms of joins. We discuss how joins can be
described in terms of GLSMs and how the associated Calabi-Yaus arise as phases
in the GLSMs. Due to strong-coupling phenomena in the GLSM, the geometries are
realized via a mix of perturbative and non-perturbative effects. We apply
two-dimensional gauge dualities to construct dual GLSMs. Geometries that are
realized perturbatively in one GLSM, are realized non-perturbatively in the
dual, and vice versa.
|
[
{
"created": "Tue, 9 Jul 2019 18:13:24 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Dec 2019 20:43:13 GMT",
"version": "v2"
}
] |
2019-12-18
|
[
[
"Knapp",
"Johanna",
""
],
[
"Sharpe",
"Eric",
""
]
] |
In this work we give a gauged linear sigma model (GLSM) realization of pairs of homologically projective dual Calabi-Yaus that have recently been constructed in the mathematics literature. Many of the geometries can be realized mathematically in terms of joins. We discuss how joins can be described in terms of GLSMs and how the associated Calabi-Yaus arise as phases in the GLSMs. Due to strong-coupling phenomena in the GLSM, the geometries are realized via a mix of perturbative and non-perturbative effects. We apply two-dimensional gauge dualities to construct dual GLSMs. Geometries that are realized perturbatively in one GLSM, are realized non-perturbatively in the dual, and vice versa.
|
hep-th/0111039
|
Garnik G. Alexanian
|
G.Alexanian and A.P. Balachandran
|
On the Failure of Spin-Statistics Connection in Quantum Gravity
|
Published version; 16 pages, LaTeX; Added references, extra comments,
one more appendix (C) and extra arguments in sections 4 and 6
|
Phys.Lett. B537 (2002) 103-116
|
10.1016/S0370-2693(02)01873-7
|
SU-4252-745
|
hep-th gr-qc hep-ph quant-ph
| null |
Many years ago Friedman and Sorkin [1] established the existence of certain
topological solitonic excitations in quantum gravity called (topological)
geons. Geons can have quantum numbers like charge and can be tensorial or
spinorial having integer or half-odd integer spin. A striking result is that
geons can violate the canonical spin-statistics connection [2,3]. Such
violation induces novel physical effects at low energies. The latter will be
small since the geon mass is expected to be of the order of Plank mass.
Nevertheless, these effects are very striking and include CPT and causality
violations and distortion of the cosmic microwave spectrum. Interesting
relations of geon dynamics to supersymmetry are also discussed.
|
[
{
"created": "Mon, 5 Nov 2001 21:28:19 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Feb 2002 15:24:12 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jun 2002 19:09:57 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Alexanian",
"G.",
""
],
[
"Balachandran",
"A. P.",
""
]
] |
Many years ago Friedman and Sorkin [1] established the existence of certain topological solitonic excitations in quantum gravity called (topological) geons. Geons can have quantum numbers like charge and can be tensorial or spinorial having integer or half-odd integer spin. A striking result is that geons can violate the canonical spin-statistics connection [2,3]. Such violation induces novel physical effects at low energies. The latter will be small since the geon mass is expected to be of the order of Plank mass. Nevertheless, these effects are very striking and include CPT and causality violations and distortion of the cosmic microwave spectrum. Interesting relations of geon dynamics to supersymmetry are also discussed.
|
hep-th/0005165
|
DaeKil Park
|
D.K. Park, S.N. Tamaryan, H.J.W. M\"uller-Kirsten and Jian-zu Zhang
|
D-Branes and their Absorptivity in Born-Infeld Theory
|
latex, 26 pages, 4 figures, one reference added, to appear in Nucl.
Phys. B
|
Nucl.Phys. B594 (2001) 243-271
|
10.1016/S0550-3213(00)00663-5
| null |
hep-th
| null |
Standard methods of nonlinear dynamics are used to investigate the stability
of particles, branes and D-branes of abelian Born-Infeld theory. In particular
the equation of small fluctuations about the D-brane is derived and converted
into a modified Mathieu equation and - complementing earlier low-energy
investigations in the case of the dilaton-axion system - studied in the
high-energy domain. Explicit expressions are derived for the S-matrix and
absorption and reflection amplitudes of the scalar fluctuation in the presence
of the D-brane. The results confirm physical expectations and numerical studies
of others. With the derivation and use of the (hitherto practically unknown)
high energy expansion of the Floquet exponent our considerations also close a
gap in earlier treatments of the Mathieu equation.
|
[
{
"created": "Thu, 18 May 2000 08:05:10 GMT",
"version": "v1"
},
{
"created": "Tue, 30 May 2000 02:02:05 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Nov 2000 03:11:03 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Park",
"D. K.",
""
],
[
"Tamaryan",
"S. N.",
""
],
[
"Müller-Kirsten",
"H. J. W.",
""
],
[
"Zhang",
"Jian-zu",
""
]
] |
Standard methods of nonlinear dynamics are used to investigate the stability of particles, branes and D-branes of abelian Born-Infeld theory. In particular the equation of small fluctuations about the D-brane is derived and converted into a modified Mathieu equation and - complementing earlier low-energy investigations in the case of the dilaton-axion system - studied in the high-energy domain. Explicit expressions are derived for the S-matrix and absorption and reflection amplitudes of the scalar fluctuation in the presence of the D-brane. The results confirm physical expectations and numerical studies of others. With the derivation and use of the (hitherto practically unknown) high energy expansion of the Floquet exponent our considerations also close a gap in earlier treatments of the Mathieu equation.
|
hep-th/0307255
|
Kokorelis
|
Minos Axenides, Emmanuel Floratos, Christos Kokorelis
|
SU(5) Unified Theories from Intersecting Branes
|
26 pages, 5 figures; no changes, one comment added in the
introduction
|
JHEP 0310 (2003) 006
|
10.1088/1126-6708/2003/10/006
|
FTUAM-03-09, IFT-UAM/CSIC-03-17
|
hep-th hep-ph
| null |
We discuss the first string theory examples of three generation
non-supersymmetric SU(5) and {\em flipped} SU(5) GUTS, which break to the
Standard model at low energy, without extra matter and/or gauge group factors.
Our GUT examples are based on IIA $Z_3$ orientifolds with D6-branes
intersecting at non-trivial angles. These theories necessarily satisfy RR
tadpoles and are free of NSNS tadpoles as the complex structure moduli are
frozen (even though a dilaton tadpole remains) to discrete values. We identify
appropriately the bifundamental Higgses responsible for electroweak symmetry
breaking. In this way, the neutrino see-saw mechanism get nicely realized in
these constructions. Moreover, as baryon number is not a gauged symmetry gauge
mediated dimension six operators do contribute to proton decay; however proton
lifetime may be safely enhanced by appropriately choosing a high GUT scale. An
accompanying natural doublet-triplet splitting guarantees the suppression of
scalar mediated proton decay modes and the stability of triplet scalar masses
against higher dimensional non-renormalizable operators.
|
[
{
"created": "Fri, 25 Jul 2003 18:40:09 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Aug 2003 11:04:36 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
],
[
"Kokorelis",
"Christos",
""
]
] |
We discuss the first string theory examples of three generation non-supersymmetric SU(5) and {\em flipped} SU(5) GUTS, which break to the Standard model at low energy, without extra matter and/or gauge group factors. Our GUT examples are based on IIA $Z_3$ orientifolds with D6-branes intersecting at non-trivial angles. These theories necessarily satisfy RR tadpoles and are free of NSNS tadpoles as the complex structure moduli are frozen (even though a dilaton tadpole remains) to discrete values. We identify appropriately the bifundamental Higgses responsible for electroweak symmetry breaking. In this way, the neutrino see-saw mechanism get nicely realized in these constructions. Moreover, as baryon number is not a gauged symmetry gauge mediated dimension six operators do contribute to proton decay; however proton lifetime may be safely enhanced by appropriately choosing a high GUT scale. An accompanying natural doublet-triplet splitting guarantees the suppression of scalar mediated proton decay modes and the stability of triplet scalar masses against higher dimensional non-renormalizable operators.
|
1503.08397
|
Edvard Musaev
|
Edvard T. Musaev
|
Exceptional Field Theory for $E_{6(6)}$ supergravity
|
5 pages, Talk at the International Conference "Quantum Field Theory
and Gravity " (QFTG'14, Tomsk, Russia, July 28 August 3 of 2014), version 2
with updated references
|
TSPU Bulletin 12 (2014) 198-202
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A brief description of the supersymmetric and duality covariant approach to
supergravity is presented. The formalism is based on exceptional geometric
structures and turns the hidden U-duality group into a manifest gauge symmetry.
Tensor hierarchy of gauged supergravity appears naturally here as a consequence
of covariance of the construction. Finally, the full supersymmetric Lagrangian
is explicitly constructed. This work was presented on the International
Conference "Quantum Field Theory and Gravity (QFTG'14)" in Tomsk.
|
[
{
"created": "Sun, 29 Mar 2015 08:06:44 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Apr 2015 08:15:34 GMT",
"version": "v2"
}
] |
2015-04-08
|
[
[
"Musaev",
"Edvard T.",
""
]
] |
A brief description of the supersymmetric and duality covariant approach to supergravity is presented. The formalism is based on exceptional geometric structures and turns the hidden U-duality group into a manifest gauge symmetry. Tensor hierarchy of gauged supergravity appears naturally here as a consequence of covariance of the construction. Finally, the full supersymmetric Lagrangian is explicitly constructed. This work was presented on the International Conference "Quantum Field Theory and Gravity (QFTG'14)" in Tomsk.
|
0709.1547
|
Clifford V. Johnson
|
Tameem Albash, Veselin Filev, Clifford V. Johnson, Arnab Kundu
|
Finite Temperature Large N Gauge Theory with Quarks in an External
Magnetic Field
|
33 pages, multiple figures
|
JHEP 0807:080,2008
|
10.1088/1126-6708/2008/07/080
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using a ten dimensional dual string background, we study aspects of the
physics of finite temperature large N four dimensional SU(N) gauge theory,
focusing on the dynamics of fundamental quarks in the presence of a background
magnetic field. At vanishing temperature and magnetic field, the theory has N=2
supersymmetry, and the quarks are in hypermultiplet representations. In a
previous study, similar techniques were used to show that the quark dynamics
exhibit spontaneous chiral symmetry breaking. In the present work we begin by
establishing the non-trivial phase structure that results from finite
temperature. We observe, for example, that above the critical value of the
field that generates a chiral condensate spontaneously, the meson melting
transition disappears, leaving only a discrete spectrum of mesons at any
temperature. We also compute several thermodynamic properties of the plasma.
|
[
{
"created": "Tue, 11 Sep 2007 09:40:20 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2008 00:30:24 GMT",
"version": "v2"
}
] |
2009-06-11
|
[
[
"Albash",
"Tameem",
""
],
[
"Filev",
"Veselin",
""
],
[
"Johnson",
"Clifford V.",
""
],
[
"Kundu",
"Arnab",
""
]
] |
Using a ten dimensional dual string background, we study aspects of the physics of finite temperature large N four dimensional SU(N) gauge theory, focusing on the dynamics of fundamental quarks in the presence of a background magnetic field. At vanishing temperature and magnetic field, the theory has N=2 supersymmetry, and the quarks are in hypermultiplet representations. In a previous study, similar techniques were used to show that the quark dynamics exhibit spontaneous chiral symmetry breaking. In the present work we begin by establishing the non-trivial phase structure that results from finite temperature. We observe, for example, that above the critical value of the field that generates a chiral condensate spontaneously, the meson melting transition disappears, leaving only a discrete spectrum of mesons at any temperature. We also compute several thermodynamic properties of the plasma.
|
1003.5805
|
Pablo G. Camara
|
P. G. Camara, C. Condeescu, E. Dudas and M. Lennek
|
Non-perturbative Vacuum Destabilization and D-brane Dynamics
|
61 pages, 6 figures, 5 tables; Minor corrections, version published
in JHEP
|
JHEP 1006:062,2010
|
10.1007/JHEP06(2010)062
|
CPHT-RR028.0310, CERN-PH-TH-2010-073, LPT-ORSAY 10-24
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the process of string vacuum destabilization due to instanton
induced superpotential couplings which depend linearly on charged fields. These
non-perturbative instabilities result in potentials for the D-brane moduli and
lead to processes of D-brane recombination, motion and partial moduli
stabilization at the non-perturbative vacuum. By using techniques of D-brane
instanton calculus, we explicitly compute this scalar potential in toroidal
orbifold compactifications with magnetized D-branes by summing over the
possible discrete instanton configurations. We illustrate explicitly the
resulting dynamics in globally consistent models. These instabilities can have
phenomenological applications to breaking hidden sector gauge groups, open
string moduli stabilization and supersymmetry breaking. Our results suggest
that breaking supersymmetry by Polonyi-like models in string theory is more
difficult than expected.
|
[
{
"created": "Tue, 30 Mar 2010 12:45:48 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2010 08:39:38 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Camara",
"P. G.",
""
],
[
"Condeescu",
"C.",
""
],
[
"Dudas",
"E.",
""
],
[
"Lennek",
"M.",
""
]
] |
We analyze the process of string vacuum destabilization due to instanton induced superpotential couplings which depend linearly on charged fields. These non-perturbative instabilities result in potentials for the D-brane moduli and lead to processes of D-brane recombination, motion and partial moduli stabilization at the non-perturbative vacuum. By using techniques of D-brane instanton calculus, we explicitly compute this scalar potential in toroidal orbifold compactifications with magnetized D-branes by summing over the possible discrete instanton configurations. We illustrate explicitly the resulting dynamics in globally consistent models. These instabilities can have phenomenological applications to breaking hidden sector gauge groups, open string moduli stabilization and supersymmetry breaking. Our results suggest that breaking supersymmetry by Polonyi-like models in string theory is more difficult than expected.
|
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