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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2310.01335
|
Patrick Concha
|
Patrick Concha, Daniel Pino, Lucrezia Ravera, Evelyn Rodr\'iguez
|
Extended Kinematical 3D Gravity Theories
|
31 pages, 5 figures, revised version accepted in JHEP
|
JHEP 01 (2024) 040
|
10.1007/JHEP01(2024)040
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we classify all extended and generalized kinematical Lie
algebras that can be obtained by expanding the $\mathfrak{so}\left(2,2\right)$
algebra. We show that the Lie algebra expansion method based on semigroups
reproduces not only the original kinematical algebras but also a family of non-
and ultra-relativistic algebras. Remarkably, the extended kinematical algebras
obtained as sequential expansions of the AdS algebra are characterized by a
non-degenerate bilinear invariant form, ensuring the construction of a
well-defined Chern-Simons gravity action in three spacetime dimensions.
Contrary to the contraction process, the degeneracy of the non-Lorentzian
theories is avoided without extending the relativistic algebra but considering
a bigger semigroup. Using the properties of the expansion procedure, we show
that our construction also applies at the level of the Chern-Simons action.
|
[
{
"created": "Mon, 2 Oct 2023 16:52:01 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Dec 2023 13:08:15 GMT",
"version": "v2"
}
] |
2024-04-29
|
[
[
"Concha",
"Patrick",
""
],
[
"Pino",
"Daniel",
""
],
[
"Ravera",
"Lucrezia",
""
],
[
"Rodríguez",
"Evelyn",
""
]
] |
In this work, we classify all extended and generalized kinematical Lie algebras that can be obtained by expanding the $\mathfrak{so}\left(2,2\right)$ algebra. We show that the Lie algebra expansion method based on semigroups reproduces not only the original kinematical algebras but also a family of non- and ultra-relativistic algebras. Remarkably, the extended kinematical algebras obtained as sequential expansions of the AdS algebra are characterized by a non-degenerate bilinear invariant form, ensuring the construction of a well-defined Chern-Simons gravity action in three spacetime dimensions. Contrary to the contraction process, the degeneracy of the non-Lorentzian theories is avoided without extending the relativistic algebra but considering a bigger semigroup. Using the properties of the expansion procedure, we show that our construction also applies at the level of the Chern-Simons action.
|
2304.01734
|
Junho Hong
|
Nikolay Bobev, Junho Hong and Valentin Reys
|
Large $N$ Partition Functions of 3d Holographic SCFTs
|
v1: p.57; v2: minor revisions; v3: minor typos corrected
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the $S^1\times\Sigma_{\mathfrak g}$ topologically twisted index and
the squashed sphere partition function of various 3d $\mathcal N\geq2$
holographic superconformal field theories arising from M2-branes. Employing
numerical techniques in combination with well-motivated conjectures we provide
compact closed-form expressions valid to all orders in the perturbative $1/N$
expansion for these observables. We also discuss the holographic implications
of our results for the topologically twisted index for the dual M-theory
Euclidean path integral around asymptotically AdS$_4$ solutions of 11d
supergravity. In Lorentzian signature this leads to a prediction for the
corrections to the Bekenstein-Hawking entropy of a class of static
asymptotically AdS$_4$ BPS black holes.
|
[
{
"created": "Tue, 4 Apr 2023 12:08:29 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Aug 2023 07:15:39 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Nov 2023 13:30:27 GMT",
"version": "v3"
}
] |
2023-11-06
|
[
[
"Bobev",
"Nikolay",
""
],
[
"Hong",
"Junho",
""
],
[
"Reys",
"Valentin",
""
]
] |
We study the $S^1\times\Sigma_{\mathfrak g}$ topologically twisted index and the squashed sphere partition function of various 3d $\mathcal N\geq2$ holographic superconformal field theories arising from M2-branes. Employing numerical techniques in combination with well-motivated conjectures we provide compact closed-form expressions valid to all orders in the perturbative $1/N$ expansion for these observables. We also discuss the holographic implications of our results for the topologically twisted index for the dual M-theory Euclidean path integral around asymptotically AdS$_4$ solutions of 11d supergravity. In Lorentzian signature this leads to a prediction for the corrections to the Bekenstein-Hawking entropy of a class of static asymptotically AdS$_4$ BPS black holes.
|
hep-th/9310078
| null |
Susumu Ariki, Tomohide Terasoma, and Hirofumi Yamada
|
Schur-Weyl Reciprocity for the Hecke Algebra of $(\Bbb Z/r\Bbb Z)\wr
\frak S_n$
|
15
| null | null | null |
hep-th
| null |
The purpose of this paper is to give a reciprocity between $U_q(h)$ and $\Cal
H_{n,r}$, the Hecke algebra of $(\Bbb Z / r\Bbb Z)\wr \frak S_n$ introduced by
Ariki and Koike. Let $K=\Bbb Q(q,u_1,\dots ,u_r)$ be the field of rational
funcitons in variables $q,u_1,\dots ,u_r$. We adopt $K$ as the base field for
both the quantized universal enveloping algebra $U_q(gl_r)$ and the Hecke
algebra $\Cal H_n$. We denote by $U_q(h)$ the $K$-subalgebra of $U_q(gl_r)$
generated by $q^{E_{ii}}\;$'s $(1\le i \le r)$. In this paper, we show that the
commutant of $U_q(h)$ in $End((K^r)^{\otimes n})$ is isomorphic to a quotient
of $\Cal H_{n,r}$. We also determine the irreducible decomposition of
$(K^r)^{\otimes n}$ under the action of $\Cal H_{n,r}$. As a consequence, we
obtain the reciprocity for $U_q(h)$ and $\Cal H_{n,r}$.
|
[
{
"created": "Thu, 14 Oct 1993 09:33:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ariki",
"Susumu",
""
],
[
"Terasoma",
"Tomohide",
""
],
[
"Yamada",
"Hirofumi",
""
]
] |
The purpose of this paper is to give a reciprocity between $U_q(h)$ and $\Cal H_{n,r}$, the Hecke algebra of $(\Bbb Z / r\Bbb Z)\wr \frak S_n$ introduced by Ariki and Koike. Let $K=\Bbb Q(q,u_1,\dots ,u_r)$ be the field of rational funcitons in variables $q,u_1,\dots ,u_r$. We adopt $K$ as the base field for both the quantized universal enveloping algebra $U_q(gl_r)$ and the Hecke algebra $\Cal H_n$. We denote by $U_q(h)$ the $K$-subalgebra of $U_q(gl_r)$ generated by $q^{E_{ii}}\;$'s $(1\le i \le r)$. In this paper, we show that the commutant of $U_q(h)$ in $End((K^r)^{\otimes n})$ is isomorphic to a quotient of $\Cal H_{n,r}$. We also determine the irreducible decomposition of $(K^r)^{\otimes n}$ under the action of $\Cal H_{n,r}$. As a consequence, we obtain the reciprocity for $U_q(h)$ and $\Cal H_{n,r}$.
|
hep-th/0107006
|
N. D. Hari Dass
|
N.D. Hari Dass and K.V. Shajesh (IMSc, Chennai)
|
Vacuum polarisation induced coupling between Maxwell and Kalb-Ramond
Fields
|
16 pages, Revtex
|
Phys.Rev. D65 (2002) 085010
|
10.1103/PhysRevD.65.085010
| null |
hep-th
| null |
We present here a manifestly gauge invariant calculation of vacuum
polarization to fermions in the presence of a constant Maxwell and a constant
Kalb-Ramond field in four dimensions. The formalism is a generalisation of the
one used by Schwinger in his famous paper on gauge invariance and vacuum
polarization. We get an explicit expression for the vacuum polarization induced
effective Lagrangian for a constant Maxwell field interacting with a constant
Kalb-Ramond field. In the weak field limit we get the coupling between the
Maxwell field and the Kalb-Ramond field to be $(\tilde{H}.\tilde{F})^2$, where
${\tilde H}_{\mu}= {1\over
{3!}}\epsilon_{\mu\alpha\beta\lambda}H^{\alpha\beta\lambda}$ and $\tilde F$ is
the dual of $F_{\mu\nu}$.
|
[
{
"created": "Sat, 30 Jun 2001 15:17:34 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Dass",
"N. D. Hari",
"",
"IMSc, Chennai"
],
[
"Shajesh",
"K. V.",
"",
"IMSc, Chennai"
]
] |
We present here a manifestly gauge invariant calculation of vacuum polarization to fermions in the presence of a constant Maxwell and a constant Kalb-Ramond field in four dimensions. The formalism is a generalisation of the one used by Schwinger in his famous paper on gauge invariance and vacuum polarization. We get an explicit expression for the vacuum polarization induced effective Lagrangian for a constant Maxwell field interacting with a constant Kalb-Ramond field. In the weak field limit we get the coupling between the Maxwell field and the Kalb-Ramond field to be $(\tilde{H}.\tilde{F})^2$, where ${\tilde H}_{\mu}= {1\over {3!}}\epsilon_{\mu\alpha\beta\lambda}H^{\alpha\beta\lambda}$ and $\tilde F$ is the dual of $F_{\mu\nu}$.
|
hep-th/9211073
|
Gerald Cleaver
|
Gerald B. Cleaver and David C. Lewellen
|
On Modular Invariant Partition Functions for Tensor Products of
Conformal Field Theories
|
13 pages, NSF-ITP-92-148, CALT-68-1754, phyzzx
|
Phys.Lett. B300 (1993) 354-360
|
10.1016/0370-2693(93)91345-N
| null |
hep-th
| null |
We give two results concerning the construction of modular invariant
partition functions for conformal field theories constructed by tensoring
together other conformal field theories. First we show how the possible modular
invariants for the tensor product theory are constrained if the allowed modular
invariants of the individual conformal field theory factors have been
classified. We illustrate the use of these constraints for theories of the type
$SU(2)_{K_A}\otimes SU(2)_{K_B}$, finding all consistent theories for $K_A,K_B$
odd. Second we show how known diagonal modular invariants can be used to
construct some inherently asymmetric ones where the holomorphic and
anti-holomorphic theories do not share the same chiral algebra. Some explicit
examples are given.
|
[
{
"created": "Mon, 16 Nov 1992 21:32:15 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Cleaver",
"Gerald B.",
""
],
[
"Lewellen",
"David C.",
""
]
] |
We give two results concerning the construction of modular invariant partition functions for conformal field theories constructed by tensoring together other conformal field theories. First we show how the possible modular invariants for the tensor product theory are constrained if the allowed modular invariants of the individual conformal field theory factors have been classified. We illustrate the use of these constraints for theories of the type $SU(2)_{K_A}\otimes SU(2)_{K_B}$, finding all consistent theories for $K_A,K_B$ odd. Second we show how known diagonal modular invariants can be used to construct some inherently asymmetric ones where the holomorphic and anti-holomorphic theories do not share the same chiral algebra. Some explicit examples are given.
|
hep-th/9410189
|
Jonathan Beck
|
Jonathan Beck and Victor G. Kac
|
Finite dimensional representations of quantum affine algebras at roots
of unity
|
31 pages. Some notational mistakes are corrected
| null | null | null |
hep-th math.QA
| null |
We describe explicitly the canonical map $\chi:$ Spec $\ue(\a{g})\
\rightarrow \ $Spec $\ze$, where $\ue(\a{g})$ is a quantum loop algebra at an
odd root of unity $\ve$. Here $\ze$ is the center of $\ue(\a{g})$ and Spec $R$
stands for the set of all finite--dimensional irreducible representations of an
algebra $R$. We show that Spec $\ze$ is a Poisson proalgebraic group which is
essentially the group of points of $G$ over the regular adeles concentrated at
$0$ and $\infty$. Our main result is that the image under $\chi$ of Spec
$\ue(\a{g})$ is the subgroup of principal adeles.
|
[
{
"created": "Tue, 25 Oct 1994 21:45:54 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 1994 14:43:46 GMT",
"version": "v2"
},
{
"created": "Fri, 11 Nov 1994 02:18:04 GMT",
"version": "v3"
}
] |
2008-02-03
|
[
[
"Beck",
"Jonathan",
""
],
[
"Kac",
"Victor G.",
""
]
] |
We describe explicitly the canonical map $\chi:$ Spec $\ue(\a{g})\ \rightarrow \ $Spec $\ze$, where $\ue(\a{g})$ is a quantum loop algebra at an odd root of unity $\ve$. Here $\ze$ is the center of $\ue(\a{g})$ and Spec $R$ stands for the set of all finite--dimensional irreducible representations of an algebra $R$. We show that Spec $\ze$ is a Poisson proalgebraic group which is essentially the group of points of $G$ over the regular adeles concentrated at $0$ and $\infty$. Our main result is that the image under $\chi$ of Spec $\ue(\a{g})$ is the subgroup of principal adeles.
|
2008.06154
|
Arindam Lala
|
Arindam Lala
|
Entanglement measures for non-conformal D-branes
|
21 pages, 6 figures; the analysis has been substantially modified;
references added; accepted for publication in Physical Review D
|
Phys. Rev. D 102, 126026 (2020)
|
10.1103/PhysRevD.102.126026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study various entanglement measures associated with certain non-conformal
field theories. We consider non-conformal D$p$-brane backgrounds, which are
dual to these field theories, for our holographic analysis. Restricting our
interests in $p=1,2,4$, we explicitly compute properties of holographic
entanglement entropy and entanglement wedge cross section, $\text{E}_{W}$,
corresponding to two parallel strip shaped boundary subregions in these set
ups. We study low and high temperature behaviours of these quantities
analytically as well as using numerical methods. In all cases, the
$\text{E}_{W}$ decrease monotonically with temperature. We observe
discontinuous jumps in $\text{E}_{W}$ while the width of (as well as the
separation between) the subregions reach critical values in all the cases
considered. However, the corresponding holographic mutual information
$\texttt{I}_{M}$ continuously decreases to zero for the aforementioned
configurations. We also notice that the conjectured inequality $\text{E}_{W}
\geq \texttt{I}_{M}/2$ still holds for non-conformal field theories as well. We
analytically determine the critical separation between these subregions that
triggers a phase transition in the holographic mutual information.
|
[
{
"created": "Fri, 14 Aug 2020 01:22:39 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2020 21:10:54 GMT",
"version": "v2"
}
] |
2021-01-04
|
[
[
"Lala",
"Arindam",
""
]
] |
We study various entanglement measures associated with certain non-conformal field theories. We consider non-conformal D$p$-brane backgrounds, which are dual to these field theories, for our holographic analysis. Restricting our interests in $p=1,2,4$, we explicitly compute properties of holographic entanglement entropy and entanglement wedge cross section, $\text{E}_{W}$, corresponding to two parallel strip shaped boundary subregions in these set ups. We study low and high temperature behaviours of these quantities analytically as well as using numerical methods. In all cases, the $\text{E}_{W}$ decrease monotonically with temperature. We observe discontinuous jumps in $\text{E}_{W}$ while the width of (as well as the separation between) the subregions reach critical values in all the cases considered. However, the corresponding holographic mutual information $\texttt{I}_{M}$ continuously decreases to zero for the aforementioned configurations. We also notice that the conjectured inequality $\text{E}_{W} \geq \texttt{I}_{M}/2$ still holds for non-conformal field theories as well. We analytically determine the critical separation between these subregions that triggers a phase transition in the holographic mutual information.
|
1803.01784
|
Francesco Benini
|
Francesco Benini, Sergio Benvenuti
|
$\mathcal{N}{=}1$ dualities in 2+1 dimensions
|
32 pages
|
JHEP 1811, 197 (2018)
|
10.1007/JHEP11(2018)197
|
SISSA 08/2018/FISI
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons
and superpotential interactions. We propose an infrared $SU(N) \leftrightarrow
U(k)$ duality involving gauge-singlet fields on one of the two sides. It shares
qualitative features both with 3d bosonization and with 4d Seiberg duality. We
provide a few consistency checks of the proposal, mapping the structure of
vacua and performing perturbative computations in the $\varepsilon$-expansion.
|
[
{
"created": "Mon, 5 Mar 2018 17:16:14 GMT",
"version": "v1"
}
] |
2019-07-17
|
[
[
"Benini",
"Francesco",
""
],
[
"Benvenuti",
"Sergio",
""
]
] |
We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions. We propose an infrared $SU(N) \leftrightarrow U(k)$ duality involving gauge-singlet fields on one of the two sides. It shares qualitative features both with 3d bosonization and with 4d Seiberg duality. We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the $\varepsilon$-expansion.
|
hep-th/0301085
|
Maxim Grigoriev
|
I.A. Batalin and M.A. Grigoriev
|
BRST-anti-BRST Symmetric Conversion of Second-Class Constraints
|
12 pages, misprints corrected
|
Int.J.Mod.Phys. A18 (2003) 4485-4495
|
10.1142/S0217751X03015726
| null |
hep-th
| null |
A general method of the BRST--anti-BRST symmetric conversion of second-class
constraints is presented. It yields a pair of commuting and nilpotent BRST-type
charges that can be naturally regarded as BRST and anti-BRST ones.
Interchanging the BRST and anti-BRST generators corresponds to a symmetry
between the original second-class constraints and the conversion variables,
which enter the formalism on equal footing.
|
[
{
"created": "Tue, 14 Jan 2003 14:01:50 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jan 2003 03:54:54 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 2003 23:25:07 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Jun 2003 16:41:18 GMT",
"version": "v4"
},
{
"created": "Tue, 21 Oct 2003 21:17:07 GMT",
"version": "v5"
}
] |
2009-11-10
|
[
[
"Batalin",
"I. A.",
""
],
[
"Grigoriev",
"M. A.",
""
]
] |
A general method of the BRST--anti-BRST symmetric conversion of second-class constraints is presented. It yields a pair of commuting and nilpotent BRST-type charges that can be naturally regarded as BRST and anti-BRST ones. Interchanging the BRST and anti-BRST generators corresponds to a symmetry between the original second-class constraints and the conversion variables, which enter the formalism on equal footing.
|
1305.2809
|
Costas Kounnas Dr
|
Costas Kounnas and Nicolaos Toumbas
|
Aspects of String Cosmology
|
42 pages, 3 figures, references added. Lectures given at the Corfu
Summer Institute 2012
| null | null |
LPTENS--13/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review recent progress in string cosmology, where string dualities are
applied so as to obtain complete cosmological evolutions, free of any essential
singularities. Two classes of models are analyzed. The first class consists of
string gas cosmologies associated to certain thermal configurations of type II
N=(4,0) models. Finite temperature is introduced along with non-trivial
"gravito-magnetic" fluxes that lift the Hagedorn instabilities of the canonical
ensemble and restore thermal T-duality symmetry. At a critical maximal
temperature additional thermal states become massless sourcing stringy
S-branes, which facilitate a bounce between the two dual, asymptotically cold
phases. Unlike previous incarnations of pre-Big Bang cosmologies, the models
remain perturbative throughout the cosmological evolution. The second class
consists of exact solutions to classical string theory that admit a Euclidean
description in terms of compact parafermionic worldsheet systems. The Euclidean
target space corresponds to a non-singular, compact T-fold, which can be used
to construct a normalizable Hartle-Hawking wavefunction for the cosmology.
|
[
{
"created": "Mon, 13 May 2013 15:24:05 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2013 15:01:18 GMT",
"version": "v2"
}
] |
2013-05-28
|
[
[
"Kounnas",
"Costas",
""
],
[
"Toumbas",
"Nicolaos",
""
]
] |
We review recent progress in string cosmology, where string dualities are applied so as to obtain complete cosmological evolutions, free of any essential singularities. Two classes of models are analyzed. The first class consists of string gas cosmologies associated to certain thermal configurations of type II N=(4,0) models. Finite temperature is introduced along with non-trivial "gravito-magnetic" fluxes that lift the Hagedorn instabilities of the canonical ensemble and restore thermal T-duality symmetry. At a critical maximal temperature additional thermal states become massless sourcing stringy S-branes, which facilitate a bounce between the two dual, asymptotically cold phases. Unlike previous incarnations of pre-Big Bang cosmologies, the models remain perturbative throughout the cosmological evolution. The second class consists of exact solutions to classical string theory that admit a Euclidean description in terms of compact parafermionic worldsheet systems. The Euclidean target space corresponds to a non-singular, compact T-fold, which can be used to construct a normalizable Hartle-Hawking wavefunction for the cosmology.
|
1408.0010
|
Taro Kimura
|
Bertrand Eynard, Taro Kimura
|
Towards U(N|M) knot invariant from ABJM theory
|
1+36 pages, 4 figures, 1 table; typos corrected, minor changes
| null |
10.1007/s11005-017-0936-0
|
IPHT-T14/088, CRM-3338, RIKEN-MP-90
|
hep-th math-ph math.GT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study U(N|M) character expectation value with the supermatrix Chern-Simons
theory, known as the ABJM matrix model, with emphasis on its connection to the
knot invariant. This average just gives the half BPS circular Wilson loop
expectation value in ABJM theory, which shall correspond to the unknot
invariant. We derive the determinantal formula, which gives U(N|M) character
expectation values in terms of U(1|1) averages for a particular type of
character representations. This means that the U(1|1) character expectation
value is a building block for all the U(N|M) averages, and in particular, by an
appropriate limit, for the U(N) invariants. In addition to the original model,
we introduce another supermatrix model obtained through the symplectic
transform, which is motivated by the torus knot Chern-Simons matrix model. We
obtain the Rosso-Jones-type formula and the spectral curve for this case.
|
[
{
"created": "Thu, 31 Jul 2014 20:00:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 2016 05:12:41 GMT",
"version": "v2"
}
] |
2017-02-03
|
[
[
"Eynard",
"Bertrand",
""
],
[
"Kimura",
"Taro",
""
]
] |
We study U(N|M) character expectation value with the supermatrix Chern-Simons theory, known as the ABJM matrix model, with emphasis on its connection to the knot invariant. This average just gives the half BPS circular Wilson loop expectation value in ABJM theory, which shall correspond to the unknot invariant. We derive the determinantal formula, which gives U(N|M) character expectation values in terms of U(1|1) averages for a particular type of character representations. This means that the U(1|1) character expectation value is a building block for all the U(N|M) averages, and in particular, by an appropriate limit, for the U(N) invariants. In addition to the original model, we introduce another supermatrix model obtained through the symplectic transform, which is motivated by the torus knot Chern-Simons matrix model. We obtain the Rosso-Jones-type formula and the spectral curve for this case.
|
hep-th/9209101
|
Thomas Mohaupt
|
Thomas Mohaupt
|
Critical Wilson Lines in Toroidal Compactifications of Heteroric Strings
|
32 pages, LATEX
|
Int.J.Mod.Phys.A8:3529-3552,1993
|
10.1142/S0217751X93001429
|
MS-TPI-92-20
|
hep-th
| null |
Critical values of Wilson lines and general background fields for toroidal
compactifications of heterotic string theories are constructed systematically
using Dynkin diagrams.
|
[
{
"created": "Fri, 25 Sep 1992 10:12:37 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Mohaupt",
"Thomas",
""
]
] |
Critical values of Wilson lines and general background fields for toroidal compactifications of heterotic string theories are constructed systematically using Dynkin diagrams.
|
1410.8407
|
Sven Bjarke Gudnason
|
Sven Bjarke Gudnason, Muneto Nitta
|
Baryonic torii: Toroidal baryons in a generalized Skyrme model
|
RevTeX: 31 pages, 16 figures; V2: published version (section V added)
|
Phys. Rev. D 91, 045027 (2015)
|
10.1103/PhysRevD.91.045027
|
NORDITA-2014-124
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a Skyrme-type model with a potential term motivated by Bose-Einstein
condensates (BECs), which we call the BEC Skyrme model. We consider two flavors
of the model, the first is the Skyrme model and the second has a sixth-order
derivative term instead of the Skyrme term; both with the added BEC-motivated
potential. The model contains toroidally shaped Skyrmions and they are
characterized by two integers P and Q, representing the winding numbers of two
complex scalar fields along the toroidal and poloidal cycles of the torus,
respectively. The baryon number is B=PQ. We find stable Skyrmion solutions for
P=1,2,3,4,5 with Q=1, while for P=6 and Q=1 it is only metastable. We further
find that configurations with higher Q>1 are all unstable and split into Q
configurations with Q=1. Finally we discover a phase transition, possibly of
first order, in the mass parameter of the potential under study.
|
[
{
"created": "Thu, 30 Oct 2014 15:31:57 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2015 14:53:46 GMT",
"version": "v2"
}
] |
2015-02-24
|
[
[
"Gudnason",
"Sven Bjarke",
""
],
[
"Nitta",
"Muneto",
""
]
] |
We study a Skyrme-type model with a potential term motivated by Bose-Einstein condensates (BECs), which we call the BEC Skyrme model. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order derivative term instead of the Skyrme term; both with the added BEC-motivated potential. The model contains toroidally shaped Skyrmions and they are characterized by two integers P and Q, representing the winding numbers of two complex scalar fields along the toroidal and poloidal cycles of the torus, respectively. The baryon number is B=PQ. We find stable Skyrmion solutions for P=1,2,3,4,5 with Q=1, while for P=6 and Q=1 it is only metastable. We further find that configurations with higher Q>1 are all unstable and split into Q configurations with Q=1. Finally we discover a phase transition, possibly of first order, in the mass parameter of the potential under study.
|
2108.01138
|
Euclides Silva
|
L. A. Lessa, J. E. G. Silva, C. A. S. Almeida
|
The bumblebee field excitations in a cosmological braneworld
|
15 pages, no figure
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We investigated the effects of the spacetime curvature and extra dimensions
on the excitations of a self-interacting vector field known as the bumblebee
field. The self-interacting quadratic potential breaks the gauge invariance and
the vacuum expectation value (VEV) of the bumblebee field $b_M$ violates the
local particle Lorentz symmetry. By assuming the bumblebee field living in a
$AdS_{5}$ bulk, we found an exponential suppression of the self-interacting
constant $\lambda$ and the bumblebee VEV along the extra dimension. The
fluctuations of the bumblebee upon the VEV can be decomposed into transverse
and longitudinal modes with respect to $b_{M}$. Despite the curvature, the
transverse mode acquires massive Kaluza-Klein towers, while the longitudinal
mode acquires LV mass $\lambda b^{2}$. On the other hand, the current
conservation law prevents massive Kaluza-Klein modes for the longitudinal mode.
For a spacelike $b_{M}$ along the extra dimension and assuming a FRW 3-brane
embedded in the $AdS_{5}$ yields to an additional dissipative term to the
longitudinal mode. The cosmological expansion leads to decay of the
longitudinal mode in a time $\Delta t \approx H^{-1}$, where $H=\dot{a}/a$ is
the Hubble parameter and $a(t)$ is the scale factor. For a timelike $b_{M}$,
the longitudinal mode does not propagate on the brane and its amplitude decays
in time with $a^{-3}$ and in the extra dimension with $z^{-\lambda
b^{2}l^{2}}$.
|
[
{
"created": "Mon, 2 Aug 2021 19:39:12 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Dec 2021 11:42:03 GMT",
"version": "v2"
}
] |
2021-12-20
|
[
[
"Lessa",
"L. A.",
""
],
[
"Silva",
"J. E. G.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] |
We investigated the effects of the spacetime curvature and extra dimensions on the excitations of a self-interacting vector field known as the bumblebee field. The self-interacting quadratic potential breaks the gauge invariance and the vacuum expectation value (VEV) of the bumblebee field $b_M$ violates the local particle Lorentz symmetry. By assuming the bumblebee field living in a $AdS_{5}$ bulk, we found an exponential suppression of the self-interacting constant $\lambda$ and the bumblebee VEV along the extra dimension. The fluctuations of the bumblebee upon the VEV can be decomposed into transverse and longitudinal modes with respect to $b_{M}$. Despite the curvature, the transverse mode acquires massive Kaluza-Klein towers, while the longitudinal mode acquires LV mass $\lambda b^{2}$. On the other hand, the current conservation law prevents massive Kaluza-Klein modes for the longitudinal mode. For a spacelike $b_{M}$ along the extra dimension and assuming a FRW 3-brane embedded in the $AdS_{5}$ yields to an additional dissipative term to the longitudinal mode. The cosmological expansion leads to decay of the longitudinal mode in a time $\Delta t \approx H^{-1}$, where $H=\dot{a}/a$ is the Hubble parameter and $a(t)$ is the scale factor. For a timelike $b_{M}$, the longitudinal mode does not propagate on the brane and its amplitude decays in time with $a^{-3}$ and in the extra dimension with $z^{-\lambda b^{2}l^{2}}$.
|
0909.4584
|
Sannino Francesco
|
Francesco Sannino (CP3-Origins, Southern Denmark University)
|
Higher Representations Duals
|
RevTeX, 23 pages, 3 figures
| null |
10.1016/j.nuclphysb.2009.12.026
|
CP3-Origins: 2009-13
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We uncover novel solutions of the 't Hooft anomaly matching conditions for
scalarless gauge theories with matter transforming according to higher
dimensional representations of the underlying gauge group. We argue that, if
the duals exist, they are gauge theories with fermions transforming according
to the defining representation of the dual gauge group. The resulting conformal
windows match the one stemming from the all-orders beta function results when
taking the anomalous dimension of the fermion mass to be unity which are also
very close to the ones obtained using the Schwinger-Dyson approximation. We use
the solutions to gain useful insight on the conformal window of the associated
electric theory. A consistent picture emerges corroborating previous results
obtained via different analytic methods and in agreement with first principle
lattice explorations.
|
[
{
"created": "Fri, 25 Sep 2009 01:19:02 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Sannino",
"Francesco",
"",
"CP3-Origins, Southern Denmark University"
]
] |
We uncover novel solutions of the 't Hooft anomaly matching conditions for scalarless gauge theories with matter transforming according to higher dimensional representations of the underlying gauge group. We argue that, if the duals exist, they are gauge theories with fermions transforming according to the defining representation of the dual gauge group. The resulting conformal windows match the one stemming from the all-orders beta function results when taking the anomalous dimension of the fermion mass to be unity which are also very close to the ones obtained using the Schwinger-Dyson approximation. We use the solutions to gain useful insight on the conformal window of the associated electric theory. A consistent picture emerges corroborating previous results obtained via different analytic methods and in agreement with first principle lattice explorations.
|
1008.3439
|
Tadashi Takayanagi
|
Tadashi Takayanagi and Tomonori Ugajin
|
Measuring Black Hole Formations by Entanglement Entropy via
Coarse-Graining
|
25 pages, Latex, 8 figures
|
JHEP 1011:054,2010
|
10.1007/JHEP11(2010)054
|
IPMU10-0142
|
hep-th cond-mat.stat-mech gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the entanglement entropy offers us a useful coarse-grained
entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy
remains vanishing even when a black hole is created in a gravity dual, being
consistent with the fact that its corresponding CFT is described by a
time-dependent pure state. We analytically calculate the time evolution of
entanglement entropy for a free Dirac fermion on a circle following a quantum
quench. This is interpreted as a toy holographic dual of black hole creations
and annihilations. It is manifestly free from the black hole information
problem.
|
[
{
"created": "Fri, 20 Aug 2010 05:26:55 GMT",
"version": "v1"
}
] |
2011-03-17
|
[
[
"Takayanagi",
"Tadashi",
""
],
[
"Ugajin",
"Tomonori",
""
]
] |
We argue that the entanglement entropy offers us a useful coarse-grained entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy remains vanishing even when a black hole is created in a gravity dual, being consistent with the fact that its corresponding CFT is described by a time-dependent pure state. We analytically calculate the time evolution of entanglement entropy for a free Dirac fermion on a circle following a quantum quench. This is interpreted as a toy holographic dual of black hole creations and annihilations. It is manifestly free from the black hole information problem.
|
0712.2918
|
Anastasia Doikou
|
Anastasia Doikou
|
Non-diagonal reflection for the non-critical XXZ model
|
8 pages Latex
|
J.Phys.A41:194007,2008
|
10.1088/1751-8113/41/19/194007
| null |
hep-th cond-mat.stat-mech math-ph math.MP nlin.SI
| null |
The most general physical boundary $S$-matrix for the open XXZ spin chain in
the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare
Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in
terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for
the open XXX chain are also reproduced.
|
[
{
"created": "Tue, 18 Dec 2007 10:25:05 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Doikou",
"Anastasia",
""
]
] |
The most general physical boundary $S$-matrix for the open XXZ spin chain in the non-critical regime ($\cosh (\eta)>1$) is derived starting from the bare Bethe ansazt equations. The boundary $S$-matrix as expected is expressed in terms of $\Gamma_q$-functions. In the isotropic limit corresponding results for the open XXX chain are also reproduced.
|
1908.06291
|
Armen Poghosyan
|
Armen Poghosyan
|
Shaping Lattice through irrelevant perturbation: Ising model
|
18 pages, 3 figures, published version, a comment and a reference
added
|
JHEP 11 (2019) 083
|
10.1007/JHEP11(2019)083
| null |
hep-th cond-mat.stat-mech nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The leading irrelevant perturbation, which controls the deviation of critical
square lattice Ising model with periodic boundary conditions from its
continuous CFT analog is identified. An explicit expression for the coupling
constant in terms of the anisotropy parameter is found. We calculate the next
to leading $\sim 1/N^2$ corrections to the spectrum on both lattice theory and
the perturbed CFT sides for several classes of states, always getting exact
agreement. We discuss also how the perturbing operators and the higher
integrals of motion are related.
|
[
{
"created": "Sat, 17 Aug 2019 10:51:24 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 2019 16:52:32 GMT",
"version": "v2"
}
] |
2019-11-28
|
[
[
"Poghosyan",
"Armen",
""
]
] |
The leading irrelevant perturbation, which controls the deviation of critical square lattice Ising model with periodic boundary conditions from its continuous CFT analog is identified. An explicit expression for the coupling constant in terms of the anisotropy parameter is found. We calculate the next to leading $\sim 1/N^2$ corrections to the spectrum on both lattice theory and the perturbed CFT sides for several classes of states, always getting exact agreement. We discuss also how the perturbing operators and the higher integrals of motion are related.
|
0806.2867
|
Walter Goldberger
|
Walter D. Goldberger
|
AdS/CFT duality for non-relativistic field theory
|
19 pages LaTeX, no figures
|
JHEP 0903:069,2009
|
10.1088/1126-6708/2009/03/069
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We formulate a correspondence between non-relativistic conformal field
theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in
AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking
of the maximal SO(2,d+1) symmetry of AdS_{d+2} to the non-relativistic
conformal group arises from boundary conditions on bulk fields, without the
need to introduce non-vacuum sources of energy-momentum. As a check of the
proposal, we use the gravitational theory to reproduce the NRCFT state-operator
correspondence between scaling dimensions of primary operators and energy
eigenstates of the non-relativistic system placed in an external harmonic
potential.
|
[
{
"created": "Tue, 17 Jun 2008 20:07:56 GMT",
"version": "v1"
}
] |
2011-07-05
|
[
[
"Goldberger",
"Walter D.",
""
]
] |
We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d-1 spatial dimensions and gravitational theories in AdS_{d+2} backgrounds with one compactified lightlike direction. The breaking of the maximal SO(2,d+1) symmetry of AdS_{d+2} to the non-relativistic conformal group arises from boundary conditions on bulk fields, without the need to introduce non-vacuum sources of energy-momentum. As a check of the proposal, we use the gravitational theory to reproduce the NRCFT state-operator correspondence between scaling dimensions of primary operators and energy eigenstates of the non-relativistic system placed in an external harmonic potential.
|
hep-th/9408023
|
Andrei Linde
|
Juan Garcia-Bellido and Andrei Linde
|
Stationarity of Inflation and Predictions of Quantum Cosmology
|
30 pages, Stanford preprint SU-ITP-94-24, LaTeX
|
Phys.Rev.D51:429-443,1995
|
10.1103/PhysRevD.51.429
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We describe several different regimes which are possible in inflationary
cosmology. The simplest one is inflation without self-reproduction of the
universe. In this scenario the universe is not stationary. The second regime,
which exists in a broad class of inflationary models, is eternal inflation with
the self-reproduction of inflationary domains. In this regime local properties
of domains with a given density and given values of fields do not depend on the
time when these domains were produced. The probability distribution to find a
domain with given properties in a self-reproducing universe may or may not be
stationary, depending on the choice of an inflationary model. We give examples
of models where each of these possibilities can be realized, and discuss some
implications of our results for quantum cosmology. In particular, we propose a
new mechanism which may help solving the cosmological constant problem.
|
[
{
"created": "Thu, 4 Aug 1994 02:45:51 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Garcia-Bellido",
"Juan",
""
],
[
"Linde",
"Andrei",
""
]
] |
We describe several different regimes which are possible in inflationary cosmology. The simplest one is inflation without self-reproduction of the universe. In this scenario the universe is not stationary. The second regime, which exists in a broad class of inflationary models, is eternal inflation with the self-reproduction of inflationary domains. In this regime local properties of domains with a given density and given values of fields do not depend on the time when these domains were produced. The probability distribution to find a domain with given properties in a self-reproducing universe may or may not be stationary, depending on the choice of an inflationary model. We give examples of models where each of these possibilities can be realized, and discuss some implications of our results for quantum cosmology. In particular, we propose a new mechanism which may help solving the cosmological constant problem.
|
hep-th/9409155
|
Denis Uglov
|
D.Uglov
|
Finite-difference representations of the degenerate affine Hecke algebra
|
13p Latex
| null |
10.1016/0375-9601(95)00143-Q
| null |
hep-th
| null |
The representations of the degenerate affine Hecke algebra in which the
analogues of the Dunkl operators are given by finite-difference operators are
introduced. The non-selfadjoint lattice analogues of the spin
Calogero-Sutherland hamiltonians are analysed by Bethe-Ansatz. The $
sl(m)$-Yangian representations arising from the finite-difference
representations of the degenerate affine Hecke algebra are shown to be related
to the Yangian representation of the 1-d Hubbard Model.
|
[
{
"created": "Mon, 26 Sep 1994 14:48:39 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Uglov",
"D.",
""
]
] |
The representations of the degenerate affine Hecke algebra in which the analogues of the Dunkl operators are given by finite-difference operators are introduced. The non-selfadjoint lattice analogues of the spin Calogero-Sutherland hamiltonians are analysed by Bethe-Ansatz. The $ sl(m)$-Yangian representations arising from the finite-difference representations of the degenerate affine Hecke algebra are shown to be related to the Yangian representation of the 1-d Hubbard Model.
|
1010.5874
|
Yu-tin Huang
|
Tristan Dennen and Yu-tin Huang
|
Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills
Amplitudes
|
20 pages, 3 figures, minor clarification, references updated
|
JHEP 1101:140,2011
|
10.1007/JHEP01(2011)140
|
UCLA/10/TEP/108
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills
theory in six dimensions, when stripped of their overall momentum and
supermomentum delta functions, are covariant with respect to the
six-dimensional dual conformal group. Using the generalized unitarity method,
we demonstrate that this property is also present for loop amplitudes. Since
the six-dimensional amplitudes can be interpreted as massive four-dimensional
ones, this implies that the six-dimensional symmetry is also present in the
massively regulated four-dimensional maximal super-Yang-Mills amplitudes.
|
[
{
"created": "Thu, 28 Oct 2010 07:09:14 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 2010 02:44:28 GMT",
"version": "v2"
}
] |
2011-02-03
|
[
[
"Dennen",
"Tristan",
""
],
[
"Huang",
"Yu-tin",
""
]
] |
We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills theory in six dimensions, when stripped of their overall momentum and supermomentum delta functions, are covariant with respect to the six-dimensional dual conformal group. Using the generalized unitarity method, we demonstrate that this property is also present for loop amplitudes. Since the six-dimensional amplitudes can be interpreted as massive four-dimensional ones, this implies that the six-dimensional symmetry is also present in the massively regulated four-dimensional maximal super-Yang-Mills amplitudes.
|
hep-th/9903244
|
Max Banados
|
Maximo Banados
|
Notes on black holes and three dimensional gravity
|
20 pages. Uses aipproc. To appear in the proceedings of the VIII
Mexican School on Particles and Fields
|
AIP Conf.Proc.490:198-216,1999
|
10.1063/1.1301386
| null |
hep-th
| null |
These notes are the written version of two lectures delivered at the VIII
Mexican School on Particles and Fields on November 1998. The level of the notes
is basic assuming only some knowledge on Statistical Mechanics, General
Relativity and Yang-Mills theory. After a brief introduction to the classical
and semiclassical aspects of black holes, we review some relevant results on
2+1 quantum gravity. These include the Chern-Simons formulation and its affine
Kac-Moody algebra, the asymptotic algebra of Brown and Henneaux, and the
statistical mechanics description of 2+1 black holes. Hopefully, this
contribution will be complementary with the review paper hep-th/9901148 by the
same author, and perhaps, a shortcut to some recent developments in three
dimensional gravity.
|
[
{
"created": "Sun, 28 Mar 1999 18:20:13 GMT",
"version": "v1"
}
] |
2010-12-13
|
[
[
"Banados",
"Maximo",
""
]
] |
These notes are the written version of two lectures delivered at the VIII Mexican School on Particles and Fields on November 1998. The level of the notes is basic assuming only some knowledge on Statistical Mechanics, General Relativity and Yang-Mills theory. After a brief introduction to the classical and semiclassical aspects of black holes, we review some relevant results on 2+1 quantum gravity. These include the Chern-Simons formulation and its affine Kac-Moody algebra, the asymptotic algebra of Brown and Henneaux, and the statistical mechanics description of 2+1 black holes. Hopefully, this contribution will be complementary with the review paper hep-th/9901148 by the same author, and perhaps, a shortcut to some recent developments in three dimensional gravity.
|
2203.15818
|
Eduardo Gonzalo
|
Jacob Bardzell, Eduardo Gonzalo, Muthusamy Rajaguru, Danielle Smith
and Timm Wrase
|
Type IIB flux compactifications with $h^{1,1}=0$
|
36 pages
| null |
10.1007/JHEP06(2022)166
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit flux compactifications of type IIB string theory on `spaces' dual
to rigid Calabi-Yau manifolds. This rather unexplored part of the string
landscapes harbors many interesting four-dimensional solutions, namely
supersymmetric $\mathcal{N}=1$ Minkowski vacua without flat direction and
infinite families of AdS vacua, some potentially with unrestricted rank for the
gauge group. We also comment on the existence of metastable dS solutions in
this setup. We discuss how these solutions fit into the web of swampland
conjectures.
|
[
{
"created": "Tue, 29 Mar 2022 18:00:05 GMT",
"version": "v1"
}
] |
2022-07-13
|
[
[
"Bardzell",
"Jacob",
""
],
[
"Gonzalo",
"Eduardo",
""
],
[
"Rajaguru",
"Muthusamy",
""
],
[
"Smith",
"Danielle",
""
],
[
"Wrase",
"Timm",
""
]
] |
We revisit flux compactifications of type IIB string theory on `spaces' dual to rigid Calabi-Yau manifolds. This rather unexplored part of the string landscapes harbors many interesting four-dimensional solutions, namely supersymmetric $\mathcal{N}=1$ Minkowski vacua without flat direction and infinite families of AdS vacua, some potentially with unrestricted rank for the gauge group. We also comment on the existence of metastable dS solutions in this setup. We discuss how these solutions fit into the web of swampland conjectures.
|
hep-th/0303052
|
Mccartor
|
Gary McCartor
|
Calculations in the Light-Cone Representation
|
7 pages and uses revtex
| null |
10.1142/9789812795120_0012
|
SMUHEP/03-01
|
hep-th
| null |
For the problem of calculating bound states in quantum field theory, the
light-cone representation offers advantages over the more common equal-time
representation. It also has subtleties and disadvantages compared to the
equal-time representation. If current efforts to use the light-cone
representation to solve for the properties of hadrons in QCD are to succeed, at
least two problems have to be solved: we must find the induced operators; we
must develop an effective procedure of regularization and renormalization. In
this paper I will try to explain what an induced operator is and say what we
know about them and will report on recent attempts to develop an effective
procedure of regularization and renormalization.
|
[
{
"created": "Thu, 6 Mar 2003 19:37:39 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"McCartor",
"Gary",
""
]
] |
For the problem of calculating bound states in quantum field theory, the light-cone representation offers advantages over the more common equal-time representation. It also has subtleties and disadvantages compared to the equal-time representation. If current efforts to use the light-cone representation to solve for the properties of hadrons in QCD are to succeed, at least two problems have to be solved: we must find the induced operators; we must develop an effective procedure of regularization and renormalization. In this paper I will try to explain what an induced operator is and say what we know about them and will report on recent attempts to develop an effective procedure of regularization and renormalization.
|
2301.04575
|
Pietro Oreglia
|
Vladimir Belavin, Pietro Oreglia, Juan Ramos Cabezas
|
Wilson lines construction of $\mathfrak{sl}_3$ toroidal conformal blocks
| null | null |
10.1016/j.nuclphysb.2023.116186
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study $\mathcal{W}_3$ toroidal conformal blocks for degenerate primary
fields in AdS/CFT context. In the large central charge limit $\mathcal{W}_3$
algebra reduces to $\mathfrak{sl}_3$ algebra and $\mathfrak{sl}_3$ blocks are
defined as contributions to $\mathcal{W}_3$ blocks coming from the generators
of $\mathfrak{sl}_3$ subalgebra. We consider the construction of
$\mathfrak{sl}_3$ toroidal blocks in terms of Wilson lines operators of $3d$
Chern-Simons gravity in the thermal AdS$_3$ space-time. According to the
correspondence, degenerate primary fields are associated with Wilson lines
operators acting in the corresponding finite-dimensional $\mathfrak{sl}_3$
representations. We verify this dual construction for one-point toroidal block
using $\mathfrak{sl}_3$ tensor technique in the bulk theory and an algorithm
based on AGT correspondence in the boundary CFT.
|
[
{
"created": "Wed, 11 Jan 2023 17:06:27 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2023 08:01:02 GMT",
"version": "v2"
}
] |
2023-05-03
|
[
[
"Belavin",
"Vladimir",
""
],
[
"Oreglia",
"Pietro",
""
],
[
"Cabezas",
"Juan Ramos",
""
]
] |
We study $\mathcal{W}_3$ toroidal conformal blocks for degenerate primary fields in AdS/CFT context. In the large central charge limit $\mathcal{W}_3$ algebra reduces to $\mathfrak{sl}_3$ algebra and $\mathfrak{sl}_3$ blocks are defined as contributions to $\mathcal{W}_3$ blocks coming from the generators of $\mathfrak{sl}_3$ subalgebra. We consider the construction of $\mathfrak{sl}_3$ toroidal blocks in terms of Wilson lines operators of $3d$ Chern-Simons gravity in the thermal AdS$_3$ space-time. According to the correspondence, degenerate primary fields are associated with Wilson lines operators acting in the corresponding finite-dimensional $\mathfrak{sl}_3$ representations. We verify this dual construction for one-point toroidal block using $\mathfrak{sl}_3$ tensor technique in the bulk theory and an algorithm based on AGT correspondence in the boundary CFT.
|
0911.1035
|
Koji Hashimoto
|
Koji Hashimoto, Norihiro Iizuka, Takashi Nakatsukasa
|
N-Body Nuclear Forces at Short Distances in Holographic QCD
|
4 pages
|
Phys.Rev.D81:106003,2010
|
10.1103/PhysRevD.81.106003
|
CERN-PH-TH-2009-205, RIKEN-TH-175
|
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a calculation of N-body (N>2) nucleon interactions at short
distances in holographic QCD. In the Sakai-Sugimoto model of large N_c massless
QCD, N baryons are described by N Yang-Mills instantons in 5 spacetime
dimensions. We compute a classical short distance interaction hamiltonian for N
'tHooft instantons. This corresponds to N baryons sharing identical classical
spins and isospins. We find that genuine N-body nuclear forces turn out to
vanish for N>2, at the leading order. This suggests that classical N-body
forces are always suppressed compared with 2-body forces.
|
[
{
"created": "Thu, 5 Nov 2009 14:05:27 GMT",
"version": "v1"
}
] |
2010-05-25
|
[
[
"Hashimoto",
"Koji",
""
],
[
"Iizuka",
"Norihiro",
""
],
[
"Nakatsukasa",
"Takashi",
""
]
] |
We provide a calculation of N-body (N>2) nucleon interactions at short distances in holographic QCD. In the Sakai-Sugimoto model of large N_c massless QCD, N baryons are described by N Yang-Mills instantons in 5 spacetime dimensions. We compute a classical short distance interaction hamiltonian for N 'tHooft instantons. This corresponds to N baryons sharing identical classical spins and isospins. We find that genuine N-body nuclear forces turn out to vanish for N>2, at the leading order. This suggests that classical N-body forces are always suppressed compared with 2-body forces.
|
2206.08143
|
David Montenegro
|
David Montenegro, B. M. Pimentel
|
Planar generalized electrodynamics for one-loop amplitude in the
Heisenberg picture
| null |
International Journal of Modern Physics A, Vol. 36, No. 19,
2150142 (2021)
|
10.1142/S0217751X21501426
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the generalized quantum electrodynamics as a natural extension of
the Maxwell electrodynamics to cure the one-loop divergence. We establish a
precise scenario to discuss the underlying features between photon and fermion
where the perturbative Maxwell electrodynamics fails. Our quantum model
combines stability, unitarity, and gauge invariance as the central properties.
To interpret the quantum fluctuations without suffering from the physical
conflicts proved by Haag's theorem, we construct the covariant quantization in
the Heisenberg picture instead of the Interaction one. Furthermore, we discuss
the absence of anomalous magnetic moment and mass-shell singularity.
|
[
{
"created": "Thu, 16 Jun 2022 13:04:57 GMT",
"version": "v1"
}
] |
2022-06-17
|
[
[
"Montenegro",
"David",
""
],
[
"Pimentel",
"B. M.",
""
]
] |
We examine the generalized quantum electrodynamics as a natural extension of the Maxwell electrodynamics to cure the one-loop divergence. We establish a precise scenario to discuss the underlying features between photon and fermion where the perturbative Maxwell electrodynamics fails. Our quantum model combines stability, unitarity, and gauge invariance as the central properties. To interpret the quantum fluctuations without suffering from the physical conflicts proved by Haag's theorem, we construct the covariant quantization in the Heisenberg picture instead of the Interaction one. Furthermore, we discuss the absence of anomalous magnetic moment and mass-shell singularity.
|
hep-th/9906171
|
Vasilios Zarikas
|
Vasilios Zarikas
|
Derivative expansion of quadratic operators in a general 't Hooft gauge
|
40 pages, to appear in Phys. Rev. D
|
Phys.Rev. D60 (1999) 106001
|
10.1103/PhysRevD.60.106001
| null |
hep-th gr-qc hep-ph
| null |
A derivative expansion technique is developed to compute functional
determinants of quadratic operators, non diagonal in spacetime indices. This
kind of operators arise in general 't Hooft gauge fixed Lagrangians. Elaborate
applications of the developed derivative expansion are presented.
|
[
{
"created": "Tue, 22 Jun 1999 17:19:27 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Zarikas",
"Vasilios",
""
]
] |
A derivative expansion technique is developed to compute functional determinants of quadratic operators, non diagonal in spacetime indices. This kind of operators arise in general 't Hooft gauge fixed Lagrangians. Elaborate applications of the developed derivative expansion are presented.
|
hep-th/9904154
|
Adilson Jose' da Silva
|
A. J. da Silva
|
Non Relativistic Limit of a Model of Fermions interacting through a
Chern-Simons Field
|
16 pages (revtex), 5 figures (eps). Invited talk at the meeting ``II
Trends in Theoretical Physics'', Buenos Aires, Dec. 1998. To be published by
AIP
| null |
10.1063/1.59657
| null |
hep-th
| null |
We study the non relativistic limit of a Model of Fermions interacting
through a Chern-Simons Field, from a perspective that resembles the Wilson's
Renormalization Group approach, instead of the more usual approach found in
most texts of Field Theory. The solution of some difficulties, and a new
understanding of non relativistic models is given.
|
[
{
"created": "Thu, 22 Apr 1999 21:35:20 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"da Silva",
"A. J.",
""
]
] |
We study the non relativistic limit of a Model of Fermions interacting through a Chern-Simons Field, from a perspective that resembles the Wilson's Renormalization Group approach, instead of the more usual approach found in most texts of Field Theory. The solution of some difficulties, and a new understanding of non relativistic models is given.
|
hep-th/0201107
|
Bert Janssen
|
Dominic Brecher, Bert Janssen, Yolanda Lozano
|
Chern-Simons Couplings for Dielectric F-Strings in Matrix String Theory
|
6 pages. Contribution to the proceedings of the RTN meeting ``The
Quantum Structure of Spacetime and the Geometric Nature of Fundamental
Interactions'', (Corfu, 13-20 September 2001). v2: reference added
|
Fortsch.Phys. 50 (2002) 864-870
|
10.1002/1521-3978(200209)50:8/9<864::AID-PROP864>3.0.CO;2-J
|
DCPT-02/03, FFUOV-02/01
|
hep-th
| null |
We compute the non-abelian couplings in the Chern-Simons action for a set of
coinciding fundamental strings in both the type IIA and type IIB Matrix string
theories. Starting from Matrix theory in a weakly curved background, we
construct the linear couplings of closed string fields to type IIA Matrix
strings. Further dualities give a type IIB Matrix string theory and a type IIA
theory of Matrix strings with winding.
|
[
{
"created": "Tue, 15 Jan 2002 17:32:33 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2002 13:56:41 GMT",
"version": "v2"
}
] |
2015-06-26
|
[
[
"Brecher",
"Dominic",
""
],
[
"Janssen",
"Bert",
""
],
[
"Lozano",
"Yolanda",
""
]
] |
We compute the non-abelian couplings in the Chern-Simons action for a set of coinciding fundamental strings in both the type IIA and type IIB Matrix string theories. Starting from Matrix theory in a weakly curved background, we construct the linear couplings of closed string fields to type IIA Matrix strings. Further dualities give a type IIB Matrix string theory and a type IIA theory of Matrix strings with winding.
|
1712.03731
|
Mohammad Reza Mohammadi Mozaffar
|
M. Reza Mohammadi Mozaffar, Ali Mollabashi
|
Logarithmic Negativity in Lifshitz Harmonic Models
|
25 pages, 13 figures, v2: minor changes, matches published version
| null | null |
IPM/P-2017/071
|
hep-th cond-mat.stat-mech cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently generalizations of the harmonic lattice model has been introduced as
a discrete approximation of bosonic field theories with Lifshitz symmetry with
a generic dynamical exponent z. In such models in (1+1) and (2+1)-dimensions,
we study logarithmic negativity in the vacuum state and also finite temperature
states. We investigate various features of logarithmic negativity such as the
universal term, its z-dependence and also its temperature dependence in various
configurations. We present both analytical and numerical evidences for linear
z-dependence of logarithmic negativity in almost all range of parameters both
in (1+1) and (2+1)-dimensions. We also investigate the validity of area law
behavior of logarithmic negativity in these generalized models and find that
this behavior is still correct for small enough dynamical exponents.
|
[
{
"created": "Mon, 11 Dec 2017 11:51:12 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2018 12:19:06 GMT",
"version": "v2"
}
] |
2018-06-14
|
[
[
"Mozaffar",
"M. Reza Mohammadi",
""
],
[
"Mollabashi",
"Ali",
""
]
] |
Recently generalizations of the harmonic lattice model has been introduced as a discrete approximation of bosonic field theories with Lifshitz symmetry with a generic dynamical exponent z. In such models in (1+1) and (2+1)-dimensions, we study logarithmic negativity in the vacuum state and also finite temperature states. We investigate various features of logarithmic negativity such as the universal term, its z-dependence and also its temperature dependence in various configurations. We present both analytical and numerical evidences for linear z-dependence of logarithmic negativity in almost all range of parameters both in (1+1) and (2+1)-dimensions. We also investigate the validity of area law behavior of logarithmic negativity in these generalized models and find that this behavior is still correct for small enough dynamical exponents.
|
1210.4170
|
Stefano Bolognesi
|
S. Bolognesi, F. Kiefer and E. Rabinovici
|
Comments on Critical Electric and Magnetic Fields from Holography
|
33 pages, 4 figures; v2: refs added; v3: typos corrected, to appear
on JHEP
| null |
10.1007/JHEP01(2013)174
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss some aspects of critical electric and magnetic fields in a field
theory with holographic dual description. We extend the analysis of
arxiv:1109.2920, which finds a critical electric field at which the Schwinger
pair production barrier drops to zero, to the case of magnetic fields. We first
find that, unlike ordinary weakly coupled theories, the magnetic field is not
subject to any perturbative instability originating from the presence of a
tachyonic ground state in the W-boson spectrum. This follows from the large
value of the 't Hooft coupling \lambda, which prevents the Zeeman interaction
term to overcome the particle mass at high B. Consequently, we study the next
possible B-field instability, i.e. monopole pair production, which is the
S-dual version of the Schwinger effect. Also in this case a critical magnetic
field is expected when the tunneling barrier drops to zero. These
Schwinger-type criticalities are the holographic duals, in the bulk, to the
fields E or B reaching the tension of F1 or D1 strings respectively. We then
discuss how this effect is modified when electric and magnetic fields are
present simultaneously and dyonic states in the spectrum can be pair produced
by a generic E - B background. Finally, we analyze finite temperature effects
on Schwinger criticalities, i.e. in the AdS-Schwarzshild black hole background.
|
[
{
"created": "Mon, 15 Oct 2012 20:00:04 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Oct 2012 12:01:01 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Jan 2013 15:14:57 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Bolognesi",
"S.",
""
],
[
"Kiefer",
"F.",
""
],
[
"Rabinovici",
"E.",
""
]
] |
We discuss some aspects of critical electric and magnetic fields in a field theory with holographic dual description. We extend the analysis of arxiv:1109.2920, which finds a critical electric field at which the Schwinger pair production barrier drops to zero, to the case of magnetic fields. We first find that, unlike ordinary weakly coupled theories, the magnetic field is not subject to any perturbative instability originating from the presence of a tachyonic ground state in the W-boson spectrum. This follows from the large value of the 't Hooft coupling \lambda, which prevents the Zeeman interaction term to overcome the particle mass at high B. Consequently, we study the next possible B-field instability, i.e. monopole pair production, which is the S-dual version of the Schwinger effect. Also in this case a critical magnetic field is expected when the tunneling barrier drops to zero. These Schwinger-type criticalities are the holographic duals, in the bulk, to the fields E or B reaching the tension of F1 or D1 strings respectively. We then discuss how this effect is modified when electric and magnetic fields are present simultaneously and dyonic states in the spectrum can be pair produced by a generic E - B background. Finally, we analyze finite temperature effects on Schwinger criticalities, i.e. in the AdS-Schwarzshild black hole background.
|
2001.07830
|
Luca Buoninfante
|
Luca Buoninfante, Gaetano Lambiase, Yuichi Miyashita, Wataru Takebe,
Masahide Yamaguchi
|
Generalized ghost-free propagators in nonlocal field theories
|
12 pages, 1 figure
|
Phys. Rev. D 101, 084019 (2020)
|
10.1103/PhysRevD.101.084019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we present an iterative method to generate an infinite class of
new nonlocal field theories whose propagators are ghost-free. We first examine
the scalar field case and show that the pole structure of such generalized
propagators possesses the standard two derivative pole and in addition can
contain complex conjugate poles which, however, do not spoil at least tree
level unitarity as the optical theorem is still satisfied. Subsequently, we
define analogous propagators for the fermionic sector which is also devoid of
unhealthy degrees of freedom. As a third case, we apply the same construction
to gravity and define a new set of theories whose graviton propagators around
the Minkowski background are ghost-free. Such a wider class also includes
nonlocal theories previously studied, and Einstein's general relativity as a
peculiar limit. Moreover, we compute the linearized gravitational potential
generated by a static point-like source for several gravitational theories
belonging to this new class and show that the nonlocal nature of gravity
regularizes the singularity at the origin.
|
[
{
"created": "Wed, 22 Jan 2020 00:43:16 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Apr 2020 06:09:24 GMT",
"version": "v2"
}
] |
2020-04-15
|
[
[
"Buoninfante",
"Luca",
""
],
[
"Lambiase",
"Gaetano",
""
],
[
"Miyashita",
"Yuichi",
""
],
[
"Takebe",
"Wataru",
""
],
[
"Yamaguchi",
"Masahide",
""
]
] |
In this paper we present an iterative method to generate an infinite class of new nonlocal field theories whose propagators are ghost-free. We first examine the scalar field case and show that the pole structure of such generalized propagators possesses the standard two derivative pole and in addition can contain complex conjugate poles which, however, do not spoil at least tree level unitarity as the optical theorem is still satisfied. Subsequently, we define analogous propagators for the fermionic sector which is also devoid of unhealthy degrees of freedom. As a third case, we apply the same construction to gravity and define a new set of theories whose graviton propagators around the Minkowski background are ghost-free. Such a wider class also includes nonlocal theories previously studied, and Einstein's general relativity as a peculiar limit. Moreover, we compute the linearized gravitational potential generated by a static point-like source for several gravitational theories belonging to this new class and show that the nonlocal nature of gravity regularizes the singularity at the origin.
|
1606.01787
|
Gourav Banerjee
|
Gourav Banerjee, Binata Panda
|
F-string Solution in AdS4 X CP3 PP-wave Background
|
12 pages, Accepted for publication in IJMPA. Section-2 modified,
discussion is improved in section-5 and R++ equation is added in Appendix
|
Int. J. Mod. Phys. A 32, 1750005 (2017)
|
10.1142/S0217751X17500051
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present supergravity solution for F-string in pp wave background obtained
from AdS4 X CP3 with zero flat directions.The classical solution is shown to
break all space-time supersymmetries. We explicitly write down the standard as
well as supernumerary Killing spinors both for the background and F-string
solution.
|
[
{
"created": "Mon, 6 Jun 2016 15:31:38 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Jan 2017 14:08:33 GMT",
"version": "v2"
}
] |
2017-01-17
|
[
[
"Banerjee",
"Gourav",
""
],
[
"Panda",
"Binata",
""
]
] |
We present supergravity solution for F-string in pp wave background obtained from AdS4 X CP3 with zero flat directions.The classical solution is shown to break all space-time supersymmetries. We explicitly write down the standard as well as supernumerary Killing spinors both for the background and F-string solution.
|
hep-th/9209064
| null |
Xiang Shen
|
Quantum Dilaton Gravity in the Light-cone Gauge
|
16 pages, Use phyzzx, CERN-TH.6633/92
|
Mod.Phys.Lett.A8:697-710,1993
|
10.1142/S0217732393000714
| null |
hep-th
| null |
Recently, models of two-dimensional dilaton gravity have been shown to admit
classical black-hole solutions that exhibit Hawking radiation at the
semi-classical level. These classical and semi-classical analyses have been
performed in conformal gauge. We show in this paper that a similar analysis in
the light--cone gauge leads to the same results. Moreover, quantization of
matter fields in light--cone gauge can be naturally extended to include
quantizing the metric field {\it \`a la} KPZ. We argue that this may provide a
new framework to address many issues associated to black-hole physics.
|
[
{
"created": "Fri, 18 Sep 1992 10:59:09 GMT",
"version": "v1"
}
] |
2010-11-01
|
[
[
"Shen",
"Xiang",
""
]
] |
Recently, models of two-dimensional dilaton gravity have been shown to admit classical black-hole solutions that exhibit Hawking radiation at the semi-classical level. These classical and semi-classical analyses have been performed in conformal gauge. We show in this paper that a similar analysis in the light--cone gauge leads to the same results. Moreover, quantization of matter fields in light--cone gauge can be naturally extended to include quantizing the metric field {\it \`a la} KPZ. We argue that this may provide a new framework to address many issues associated to black-hole physics.
|
1005.5108
|
Philip D. Mannheim
|
Philip D. Mannheim
|
Intrinsically Quantum-Mechanical Gravity and the Cosmological Constant
Problem
|
15 pages. Presentation at the International Conference on Two
Cosmological Models, Universidad Iberoamericana, Mexico City, November 17-19,
2010. Updated final version, contains many new footnotes, no major changes.
To appear in Mod. Phys. Lett. A
| null |
10.1142/S0217732311036875
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose that gravity be intrinsically quantum-mechanical, so that in the
absence of quantum mechanics the geometry of the universe would be Minkowski.
We show that in such a situation gravity does not require any independent
quantization of its own, with it being quantized simply by virtue of its being
coupled to the quantized matter fields that serve as its source. We show that
when the gravitational and matter fields possess an underlying conformal
symmetry, the gravitational field and fermionic matter-field zero-point
fluctuations cancel each other identically. Then, when the fermions acquire
mass by a dynamical symmetry breaking procedure that induces a cosmological
constant in such conformal theories, the zero-point fluctuations readjust so as
to cancel the induced cosmological constant identically. The zero-point vacuum
problem and the cosmological constant vacuum problems thus mutually solve each
other. We illustrate our ideas in a completely solvable conformal-invariant
model, namely two-dimensional quantum Einstein gravity coupled to a
Nambu-Jona-Lasinio self-consistent fermion.
|
[
{
"created": "Thu, 27 May 2010 16:21:51 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Aug 2010 13:30:54 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Dec 2010 17:22:24 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Oct 2011 17:49:07 GMT",
"version": "v4"
}
] |
2015-05-19
|
[
[
"Mannheim",
"Philip D.",
""
]
] |
We propose that gravity be intrinsically quantum-mechanical, so that in the absence of quantum mechanics the geometry of the universe would be Minkowski. We show that in such a situation gravity does not require any independent quantization of its own, with it being quantized simply by virtue of its being coupled to the quantized matter fields that serve as its source. We show that when the gravitational and matter fields possess an underlying conformal symmetry, the gravitational field and fermionic matter-field zero-point fluctuations cancel each other identically. Then, when the fermions acquire mass by a dynamical symmetry breaking procedure that induces a cosmological constant in such conformal theories, the zero-point fluctuations readjust so as to cancel the induced cosmological constant identically. The zero-point vacuum problem and the cosmological constant vacuum problems thus mutually solve each other. We illustrate our ideas in a completely solvable conformal-invariant model, namely two-dimensional quantum Einstein gravity coupled to a Nambu-Jona-Lasinio self-consistent fermion.
|
hep-th/0407276
|
Katherine Benson
|
Katherine Benson
|
On Hierarchy, Charge Universality, and 4D Effective Theory in
Randall-Sundrum Models
|
18 pages
| null | null | null |
hep-th
| null |
We present a variant formulation of the Randall-Sundrum model which solves
both the hierarchy and charge universality problems. We first critique the
rationale for hierarchy solution and 4D effective interactions in the
Randall-Sundrum model. We note its asymmetric treatment of matter and gravity
in the warped braneworld background, leaving uncalibrated the particle scale;
as well as its unconventional spatial attribution of integrated 4D effective
gravity. Matter and massless gravitons both localize when branes form to warp
spacetime; thus consistent accounting of induced 4D physics must track both
particle and Planck scales through brane formation. We perform such
self-consistent tracking in the warped Randall-Sundrum background, by treating
matter as intrinsically extradimensional, on par with gravity, with a unified
mass scale. We find this definite, self-consistent theory solves two major
problems: the effective 4D theory shows robust hierarchy solution, and
preserves charge universality. Our unified 5D field theory lies at the Planck
scale; it induces an integrated 4D effective field theory with universal
charges, Planck scale 4D gravity, and TeV scale matter. However, this effective
field theory describes, not 4D physics on a specific brane, but 4D physics
induced by an unobservably small (12 M_{Pl}^{-1}) warped extra dimension. This
unified approach validates Randall-Sundrum hierarchy solution, while
exemplifying a field theory whose dimensional reduction preserves charge
universality.
|
[
{
"created": "Fri, 30 Jul 2004 18:01:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Benson",
"Katherine",
""
]
] |
We present a variant formulation of the Randall-Sundrum model which solves both the hierarchy and charge universality problems. We first critique the rationale for hierarchy solution and 4D effective interactions in the Randall-Sundrum model. We note its asymmetric treatment of matter and gravity in the warped braneworld background, leaving uncalibrated the particle scale; as well as its unconventional spatial attribution of integrated 4D effective gravity. Matter and massless gravitons both localize when branes form to warp spacetime; thus consistent accounting of induced 4D physics must track both particle and Planck scales through brane formation. We perform such self-consistent tracking in the warped Randall-Sundrum background, by treating matter as intrinsically extradimensional, on par with gravity, with a unified mass scale. We find this definite, self-consistent theory solves two major problems: the effective 4D theory shows robust hierarchy solution, and preserves charge universality. Our unified 5D field theory lies at the Planck scale; it induces an integrated 4D effective field theory with universal charges, Planck scale 4D gravity, and TeV scale matter. However, this effective field theory describes, not 4D physics on a specific brane, but 4D physics induced by an unobservably small (12 M_{Pl}^{-1}) warped extra dimension. This unified approach validates Randall-Sundrum hierarchy solution, while exemplifying a field theory whose dimensional reduction preserves charge universality.
|
hep-th/9811054
|
Kimball A. Milton
|
K. A. Milton
|
Julian Schwinger and the Casimir Effect: The Reality of Zero-Point
Energy
|
17 pages, Invited talk at the Fourth Workshop on Quantum Field Theory
Under the Influence of External Conditions, Leipzig, 14-18 September, 1998.
Requires sprocl.sty
| null | null |
OKHEP-98-10
|
hep-th
| null |
Julian Schwinger became interested in the Casimir effect in 1975. His
original impetus was to understand the quantum force between parallel plates
without the concept of zero point fluctuations of field quanta, in the language
of source theory. He went on to consider applications to dielectrics and to
spherical geometries in 1977. Although he published nothing on the subject in
the following decade, he did devote considerable effort to understanding the
connection between acceleration and temperature in the mid 1980s. During the
last four years of his life, he became fascinated with sonoluminescence, and
proposed that the dynamical Casimir effect could be responsible for the copious
emission of photons by collapsing air bubbles in water.
|
[
{
"created": "Thu, 5 Nov 1998 18:39:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Milton",
"K. A.",
""
]
] |
Julian Schwinger became interested in the Casimir effect in 1975. His original impetus was to understand the quantum force between parallel plates without the concept of zero point fluctuations of field quanta, in the language of source theory. He went on to consider applications to dielectrics and to spherical geometries in 1977. Although he published nothing on the subject in the following decade, he did devote considerable effort to understanding the connection between acceleration and temperature in the mid 1980s. During the last four years of his life, he became fascinated with sonoluminescence, and proposed that the dynamical Casimir effect could be responsible for the copious emission of photons by collapsing air bubbles in water.
|
hep-th/9709089
|
Robert De Mello Koch
|
Robert de Mello Koch and Jo\~ao P. Rodrigues
|
Duality and Light Cone Symmetries of the Equations of Motion
|
13 pages, uses harvmac. An expanded and clarified version
|
Phys.Lett. B432 (1998) 83-89
|
10.1016/S0370-2693(98)00591-7
|
CNLS-97-06
|
hep-th
| null |
The matrix theory description of the discrete light cone quantization of $M$
theory on a $T^{2}$ is studied. In terms of its super Yang- Mills description,
we identify symmetries of the equations of motion corresponding to independent
rescalings of one of the world sheet light cone coordinates, which show how the
$S$ duality of Type IIB string theory is realized as a Nahm-type
transformation. In the $M$ theory description this corresponds to a simple
$9-11$ flip.
|
[
{
"created": "Fri, 12 Sep 1997 16:07:40 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Feb 1998 04:18:26 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Koch",
"Robert de Mello",
""
],
[
"Rodrigues",
"João P.",
""
]
] |
The matrix theory description of the discrete light cone quantization of $M$ theory on a $T^{2}$ is studied. In terms of its super Yang- Mills description, we identify symmetries of the equations of motion corresponding to independent rescalings of one of the world sheet light cone coordinates, which show how the $S$ duality of Type IIB string theory is realized as a Nahm-type transformation. In the $M$ theory description this corresponds to a simple $9-11$ flip.
|
hep-th/0505141
|
Chong-Sun Chu
|
Chong-Sun Chu and Takeo Inami
|
Konishi Anomaly and Central Extension in N=1/2 Supersymmetry
|
LaTeX, 26 pages, 6 figures; v2: references added
|
Nucl.Phys. B725 (2005) 327-351
|
10.1016/j.nuclphysb.2005.07.007
| null |
hep-th
| null |
We show that the 4-dimensional N=1/2 supersymmetry algebra admits central
extension. The central charges are supported by domain wall and the central
charges are computed. We also determine the Konishi anomaly for N=1/2
supersymmetric gauge theory. Due to the new couplings in the Lagrangian, many
terms appears. We show that these terms sum up to give the expected form for
the holomorphic part of the Konishi anomaly. For the anti-holomorphic part, we
give a simple argument that the naive generalization has to be modified. We
suggest that the anti-holomorphic Konishi anomaly is given by a gauge invariant
completion using open Wilson line.
|
[
{
"created": "Mon, 16 May 2005 19:56:54 GMT",
"version": "v1"
},
{
"created": "Tue, 24 May 2005 14:34:27 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Chu",
"Chong-Sun",
""
],
[
"Inami",
"Takeo",
""
]
] |
We show that the 4-dimensional N=1/2 supersymmetry algebra admits central extension. The central charges are supported by domain wall and the central charges are computed. We also determine the Konishi anomaly for N=1/2 supersymmetric gauge theory. Due to the new couplings in the Lagrangian, many terms appears. We show that these terms sum up to give the expected form for the holomorphic part of the Konishi anomaly. For the anti-holomorphic part, we give a simple argument that the naive generalization has to be modified. We suggest that the anti-holomorphic Konishi anomaly is given by a gauge invariant completion using open Wilson line.
|
2107.06660
|
Nikhil Kalyanapuram
|
Nikhil Kalyanapuram
|
Infrared and Holographic Aspects of the $S$-Matrix in Gauge Theory and
Gravity
|
v1: 81 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Soft theorems in gauge theory and gravity encode the universal properties of
scattering amplitudes as the zero frequency limit of one or more external
states is approached. When the participating particles are treated in the
massless limit, the soft theorems are known to depend only on the directions of
the states on null infinity. Leveraging this fact, we develop dual
two-dimensional descriptions of soft theorems, recasting them as Ward
identities of such dual models on the celestial sphere. This is done by first
postulating putative holographic representations of the hard scattering
amplitudes and dressing the asymptotic operators with appropriate
two-dimensional analogues of the Wilson line. The soft theorems are then
recovered by inserting currents that generate the Ward identities of the dual
models. In addition to providing naturally holographic representations of the
soft theorems, we see that it becomes possible to develop presentations of the
asymptotic symmetries associated to these theorems entirely in terms of the
dual two-dimensional fields. In the course of carrying out this analysis for
soft theorems at leading order and beyond, we find that the two-dimensional
dual description of soft theorems may be directly inferred by drawing analogies
with the existing framework of asymptotic symmetry charges. We find that the
soft charges generating the asymptotic symmetries can be brought into
correspondence with dual two-dimensional currents, while the two-dimensional
Wilson loops can be related to the hard parts of the conserved charges.
Consequently, we rewrite the triality of asymptotic symmetries, soft theorems
and conserved charges directly in the language of a class of two-dimensional
theories.
|
[
{
"created": "Wed, 14 Jul 2021 12:52:45 GMT",
"version": "v1"
}
] |
2021-07-15
|
[
[
"Kalyanapuram",
"Nikhil",
""
]
] |
Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit, the soft theorems are known to depend only on the directions of the states on null infinity. Leveraging this fact, we develop dual two-dimensional descriptions of soft theorems, recasting them as Ward identities of such dual models on the celestial sphere. This is done by first postulating putative holographic representations of the hard scattering amplitudes and dressing the asymptotic operators with appropriate two-dimensional analogues of the Wilson line. The soft theorems are then recovered by inserting currents that generate the Ward identities of the dual models. In addition to providing naturally holographic representations of the soft theorems, we see that it becomes possible to develop presentations of the asymptotic symmetries associated to these theorems entirely in terms of the dual two-dimensional fields. In the course of carrying out this analysis for soft theorems at leading order and beyond, we find that the two-dimensional dual description of soft theorems may be directly inferred by drawing analogies with the existing framework of asymptotic symmetry charges. We find that the soft charges generating the asymptotic symmetries can be brought into correspondence with dual two-dimensional currents, while the two-dimensional Wilson loops can be related to the hard parts of the conserved charges. Consequently, we rewrite the triality of asymptotic symmetries, soft theorems and conserved charges directly in the language of a class of two-dimensional theories.
|
1504.05959
|
Andreas Stergiou
|
Benjamin Grinstein, Andreas Stergiou, David Stone, Ming Zhong
|
Two-loop renormalization of multiflavor $\phi^3$ theory in six
dimensions and the trace anomaly
|
31 pages. v2: Equation (4.16) corrected. The discussion in sections 3
and 6 contains errors that have been addressed in arXiv:1604.01782
|
Phys. Rev. D 92, 045013 (2015)
|
10.1103/PhysRevD.92.045013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the background-field method and the heat kernel to obtain all
counterterms to two-loop order of conformally-coupled multiflavor $\phi^3$
theory in six spacetime dimensions, defined in curved spacetime and with
spacetime-dependent couplings. We also include spacetime-dependent mass terms
for completeness. We use these results to write a general expression for the
trace anomaly. With the use of Weyl consistency conditions we are able to show
that the strong $a$-theorem for a certain natural candidate quantity
$\tilde{a}$ is violated in this theory, and obtain a three-loop expression for
the coefficient $a$ of the Euler term in the anomaly.
|
[
{
"created": "Wed, 22 Apr 2015 20:00:41 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Apr 2016 15:15:51 GMT",
"version": "v2"
}
] |
2016-04-22
|
[
[
"Grinstein",
"Benjamin",
""
],
[
"Stergiou",
"Andreas",
""
],
[
"Stone",
"David",
""
],
[
"Zhong",
"Ming",
""
]
] |
We use the background-field method and the heat kernel to obtain all counterterms to two-loop order of conformally-coupled multiflavor $\phi^3$ theory in six spacetime dimensions, defined in curved spacetime and with spacetime-dependent couplings. We also include spacetime-dependent mass terms for completeness. We use these results to write a general expression for the trace anomaly. With the use of Weyl consistency conditions we are able to show that the strong $a$-theorem for a certain natural candidate quantity $\tilde{a}$ is violated in this theory, and obtain a three-loop expression for the coefficient $a$ of the Euler term in the anomaly.
|
1905.09313
|
J. Antonio Garc\'ia Zenteno
|
J. Antonio Garc\'ia and R. Abraham S\'anchez-Isidro
|
Noether Identities, $\beta$-functions and symmetries in DFT
|
Latex 16 pages, v2 references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given the $\beta$ functions of the closed string sigma model up to one loop
in $\alpha'$, the effective action implement the condition $\beta=0$ to
preserve conformal symmetry at quantum level. One of the more powerful and
striking results of string theory is that this effective action contains
Einstein gravity as an emergent dynamics in space-time. We show from the
$\beta$ functions and its relation with the equations of motion of the
effective action, that the differential identities [1] are the Noether
identities associated with the effective action and its gauge symmetries. From
here, we reconstruct the gauge and space time symmetries of the effective
action. In turn, we can show that the differential identities are the
contracted Bianchi identities of the the field strength $H$ and Riemann tensor
$R$. Next, we apply the same ideas to DFT. Taking as starting point that the
generalized $\beta$ functions in DFT are proportional to the equations of
motion, we construct the generalized differential identities in DFT. Relating
the Noether identities with the contracted Bianchi identities of DFT, we were
able to reconstruct the generalized gauge and space time symmetries. Finally,
we recover the original $\beta$ functions, effective action, differential
identities, and symmetries when we turn off the $\tilde x$ space time
coordinates from DFT.
|
[
{
"created": "Wed, 22 May 2019 18:16:10 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 14:29:07 GMT",
"version": "v2"
}
] |
2019-05-31
|
[
[
"García",
"J. Antonio",
""
],
[
"Sánchez-Isidro",
"R. Abraham",
""
]
] |
Given the $\beta$ functions of the closed string sigma model up to one loop in $\alpha'$, the effective action implement the condition $\beta=0$ to preserve conformal symmetry at quantum level. One of the more powerful and striking results of string theory is that this effective action contains Einstein gravity as an emergent dynamics in space-time. We show from the $\beta$ functions and its relation with the equations of motion of the effective action, that the differential identities [1] are the Noether identities associated with the effective action and its gauge symmetries. From here, we reconstruct the gauge and space time symmetries of the effective action. In turn, we can show that the differential identities are the contracted Bianchi identities of the the field strength $H$ and Riemann tensor $R$. Next, we apply the same ideas to DFT. Taking as starting point that the generalized $\beta$ functions in DFT are proportional to the equations of motion, we construct the generalized differential identities in DFT. Relating the Noether identities with the contracted Bianchi identities of DFT, we were able to reconstruct the generalized gauge and space time symmetries. Finally, we recover the original $\beta$ functions, effective action, differential identities, and symmetries when we turn off the $\tilde x$ space time coordinates from DFT.
|
hep-th/9912078
|
Jun S. Song
|
Jun S. Song
|
Descendant Gromov-Witten Invariants, Simple Hurwitz Numbers, and the
Virasoro Conjecture for P^1
|
30 pages, no figures, latex 3x
|
Adv.Theor.Math.Phys. 3 (1999) 1721-1768
| null | null |
hep-th math.AG
| null |
In this ``experimental'' research, we use known topological recursion
relations in genera-zero, -one, and -two to compute the n-point descendant
Gromov-Witten invariants of P^1 for arbitrary degrees and low values of n. The
results are consistent with the Virasoro conjecture and also lead to explicit
computations of all Hodge integrals in these genera. We also derive new
recursion relations for simple Hurwitz numbers similar to those of Graber and
Pandharipande.
|
[
{
"created": "Thu, 9 Dec 1999 18:11:17 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Song",
"Jun S.",
""
]
] |
In this ``experimental'' research, we use known topological recursion relations in genera-zero, -one, and -two to compute the n-point descendant Gromov-Witten invariants of P^1 for arbitrary degrees and low values of n. The results are consistent with the Virasoro conjecture and also lead to explicit computations of all Hodge integrals in these genera. We also derive new recursion relations for simple Hurwitz numbers similar to those of Graber and Pandharipande.
|
hep-th/0202069
|
Cecilia Albertsson
|
Cecilia Albertsson, Ulf Lindstrom and Maxim Zabzine
|
N=1 supersymmetric sigma model with boundaries, II
|
LaTeX, 24 pages. v2: Comments on torsion conditions changed. v3:
Typos corrected, note added, published version
|
Nucl.Phys. B678 (2004) 295-316
|
10.1016/j.nuclphysb.2003.11.024
| null |
hep-th math-ph math.MP
| null |
We consider the N=1 supersymmetric two-dimensional non-linear sigma model
with boundaries and nonzero B-field. By analysing the appropriate currents we
describe the full set of boundary conditions compatible with N=1 superconformal
symmetry. Using this result the problem of finding a correct action is
discussed. We interpret the supersymmetric boundary conditions as a maximal
integral submanifold of the target space manifold, and speculate about a new
geometrical structure, the deformation of an almost product structure.
|
[
{
"created": "Mon, 11 Feb 2002 15:56:14 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Feb 2002 09:48:17 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Jan 2004 10:30:58 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Albertsson",
"Cecilia",
""
],
[
"Lindstrom",
"Ulf",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We consider the N=1 supersymmetric two-dimensional non-linear sigma model with boundaries and nonzero B-field. By analysing the appropriate currents we describe the full set of boundary conditions compatible with N=1 superconformal symmetry. Using this result the problem of finding a correct action is discussed. We interpret the supersymmetric boundary conditions as a maximal integral submanifold of the target space manifold, and speculate about a new geometrical structure, the deformation of an almost product structure.
|
1609.05432
|
Breno Giacchini
|
Breno L. Giacchini
|
On the cancellation of Newtonian singularities in higher-derivative
gravity
|
17 pages, 1 figure. References added, typos corrected, some parts
rewritten. Accepted for publication in Phys. Lett. B
|
Phys. Lett. B 766, 306-311 (2017)
|
10.1016/j.physletb.2017.01.019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently there has been a growing interest in quantum gravity theories with
more than four derivatives, including both their quantum and classical aspects.
In this work we extend the recent results concerning the non-singularity of the
modified Newtonian potential to the most relevant case in which the propagator
has complex poles. The model we consider is Einstein-Hilbert action augmented
by curvature-squared higher-derivative terms which contain polynomials on the
d'Alembert operator. We show that the classical potential of these theories is
a real quantity and it is regular at the origin disregard the (complex or real)
nature or the multiplicity of the massive poles. The expression for the
potential is explicitly derived for some interesting particular cases. Finally,
the issue of the mechanism behind the cancellation of the singularity is
discussed; specifically we argue that the regularity of the potential can hold
even if the number of massive tensor modes and scalar ones is not the same.
|
[
{
"created": "Sun, 18 Sep 2016 06:53:37 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jan 2017 14:52:00 GMT",
"version": "v2"
}
] |
2017-01-27
|
[
[
"Giacchini",
"Breno L.",
""
]
] |
Recently there has been a growing interest in quantum gravity theories with more than four derivatives, including both their quantum and classical aspects. In this work we extend the recent results concerning the non-singularity of the modified Newtonian potential to the most relevant case in which the propagator has complex poles. The model we consider is Einstein-Hilbert action augmented by curvature-squared higher-derivative terms which contain polynomials on the d'Alembert operator. We show that the classical potential of these theories is a real quantity and it is regular at the origin disregard the (complex or real) nature or the multiplicity of the massive poles. The expression for the potential is explicitly derived for some interesting particular cases. Finally, the issue of the mechanism behind the cancellation of the singularity is discussed; specifically we argue that the regularity of the potential can hold even if the number of massive tensor modes and scalar ones is not the same.
|
hep-th/9806060
|
Parviz Haggi-Mani
|
H. Gustafsson, P. Haggi-Mani
|
Generating new supergravity solutions using Ehlers-Harrison-type
transformations
|
Latex, 18 pages
| null | null |
USITP 98-07
|
hep-th
| null |
The technique of generating new solutions to 4D gravity/matter systems by
dimensional reduction to a sigma-model is extended to supersymmetric
configurations of supergravity. The conditions required for the preservation of
supersymmetry under isometry transformations in the sigma-model target space
are found. Some examples illustrating the technique are given.
|
[
{
"created": "Mon, 8 Jun 1998 09:59:36 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Gustafsson",
"H.",
""
],
[
"Haggi-Mani",
"P.",
""
]
] |
The technique of generating new solutions to 4D gravity/matter systems by dimensional reduction to a sigma-model is extended to supersymmetric configurations of supergravity. The conditions required for the preservation of supersymmetry under isometry transformations in the sigma-model target space are found. Some examples illustrating the technique are given.
|
hep-th/9704107
|
Moriconi Marco
|
M. Moriconi (ICTP), K. Schoutens (University of Amsterdam)
|
Supersymmetric Reflection Matrices
|
7 pages, Revtex, 2 figures, talk given at the International Seminar
on Supersymmetry and Quantum Field Theory, dedicated to the memory of
D.V.Volkov, Kharkov (Ukraine), January 5-7, 1997
| null |
10.1007/BFb0105256
| null |
hep-th
| null |
We briefly review the general structure of integrable particle theories in
1+1 dimensions having N=1 supersymmetry. Examples are specific perturbed
superconformal field theories (of Yang-Lee type) and the N=1 supersymmetric
sine-Gordon theory. We comment on the modifications that are required when the
N=1 supersymmetry algebra contains non-trivial topological charges.
|
[
{
"created": "Mon, 14 Apr 1997 12:21:07 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Moriconi",
"M.",
"",
"ICTP"
],
[
"Schoutens",
"K.",
"",
"University of Amsterdam"
]
] |
We briefly review the general structure of integrable particle theories in 1+1 dimensions having N=1 supersymmetry. Examples are specific perturbed superconformal field theories (of Yang-Lee type) and the N=1 supersymmetric sine-Gordon theory. We comment on the modifications that are required when the N=1 supersymmetry algebra contains non-trivial topological charges.
|
1910.02281
|
Dan Xie
|
Dan Xie, Wenbin Yan
|
4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
|
55 pages, 8 figures, 23 tables
| null | null | null |
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue our studies of the correspondence between 4d $\mathcal{N}=2$
SCFTs and 2d W-algebras. The purpose of this paper is to study the relationship
between 2d lisse W-algebras and their 4d SCFT partners. The lisse W-algebra is
the W-algebra whose associated Zhu's $C_2$ algebra is finite dimensional. As
the associated variety of Zhu's $C_2$ algebra is identified with the Higgs
branch in the 4d/2d correspondence, the lisse condition is equivalent to the
absence of the Higgs branch on the 4d side. We classify 4d $\mathcal{N}=2$
SCFTs which do not admit Higgs branch, then these theories would give lisse
W-algebras through the 4d/2d correspondence. In particular, we predict the
existence of a large class of new non-admissible lisse W-algebras, which have
not been studied before. The 4d theories corresponding to lisse W-algebra can
appear in the Higgs branches of generic 4d $\mathcal{N}=2$ SCFTs, therefore
they are crucial to understand the Higgs branches of $\mathcal{N}=2$ SCFTs.
|
[
{
"created": "Sat, 5 Oct 2019 14:58:27 GMT",
"version": "v1"
}
] |
2019-10-10
|
[
[
"Xie",
"Dan",
""
],
[
"Yan",
"Wenbin",
""
]
] |
We continue our studies of the correspondence between 4d $\mathcal{N}=2$ SCFTs and 2d W-algebras. The purpose of this paper is to study the relationship between 2d lisse W-algebras and their 4d SCFT partners. The lisse W-algebra is the W-algebra whose associated Zhu's $C_2$ algebra is finite dimensional. As the associated variety of Zhu's $C_2$ algebra is identified with the Higgs branch in the 4d/2d correspondence, the lisse condition is equivalent to the absence of the Higgs branch on the 4d side. We classify 4d $\mathcal{N}=2$ SCFTs which do not admit Higgs branch, then these theories would give lisse W-algebras through the 4d/2d correspondence. In particular, we predict the existence of a large class of new non-admissible lisse W-algebras, which have not been studied before. The 4d theories corresponding to lisse W-algebra can appear in the Higgs branches of generic 4d $\mathcal{N}=2$ SCFTs, therefore they are crucial to understand the Higgs branches of $\mathcal{N}=2$ SCFTs.
|
1211.6375
|
Andrei Mironov
|
A.Anokhina, A.Mironov, A.Morozov and An.Morozov
|
Knot polynomials in the first non-symmetric representation
|
19 pages
|
Nuclear Physics, Section B 882C (2014), pp. 171-194
|
10.1016/j.nuclphysb.2014.03.002
|
FIAN/TD-28/12; ITEP/TH-52/12; IIP-TH-29/12
|
hep-th math-ph math.GT math.MP math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the explicit form and the hidden structure of the answer for the
HOMFLY polynomial for the figure eight and some other 3-strand knots in
representation [21]. This is the first result for non-torus knots beyond
(anti)symmetric representations, and its evaluation is far more complicated. We
provide a whole variety of different arguments, allowing one to guess the
answer for the figure eight knot, which can be also partly used in more
complicated situations. Finally we report the result of exact calculation for
figure eight and some other 3-strand knots based on the previously developed
sophisticated technique of multi-strand calculations. We also discuss a formula
for the superpolynomial in representation [21] for the figure eight knot, which
heavily relies on the conjectural form of superpolynomial expansion nearby the
special polynomial point. Generalizations and details will be presented
elsewhere.
|
[
{
"created": "Tue, 27 Nov 2012 18:05:57 GMT",
"version": "v1"
}
] |
2014-03-20
|
[
[
"Anokhina",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Morozov",
"An.",
""
]
] |
We describe the explicit form and the hidden structure of the answer for the HOMFLY polynomial for the figure eight and some other 3-strand knots in representation [21]. This is the first result for non-torus knots beyond (anti)symmetric representations, and its evaluation is far more complicated. We provide a whole variety of different arguments, allowing one to guess the answer for the figure eight knot, which can be also partly used in more complicated situations. Finally we report the result of exact calculation for figure eight and some other 3-strand knots based on the previously developed sophisticated technique of multi-strand calculations. We also discuss a formula for the superpolynomial in representation [21] for the figure eight knot, which heavily relies on the conjectural form of superpolynomial expansion nearby the special polynomial point. Generalizations and details will be presented elsewhere.
|
hep-th/9501008
|
Charles Sommerfield
|
Ramesh Abhiraman and Charles M. Sommerfield (Yale University)
|
On Abelian Bosonization of Free Fermi Fields in Three Space Dimensions
|
Based on a talk given by C. Sommerfield at Gursey Memorial Conference
I, Bogazici Univerisity, Istanbul, Turkey, June 1994, 7 pages, plain TeX
| null | null |
YCTP-P1-95
|
hep-th
| null |
One of the methods used to extend two-dimensional bosonization to four
space-time dimensions involves a transformation to new spatial variables so
that only one of them appears kinematically. The problem is then reduced to an
Abelian version of two-dimensional bosonization with extra ``internal''
coordinates. On a formal level, putting these internal coordinates on a finite
lattice seems to provide a well-defined prescription for calculating
correlation functions. However, in the infinite-lattice or continuum limits,
certain difficulties appear that require very delicate specification of all of
the many limiting procedures involved in the construction.
|
[
{
"created": "Tue, 3 Jan 1995 20:25:27 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Abhiraman",
"Ramesh",
"",
"Yale University"
],
[
"Sommerfield",
"Charles M.",
"",
"Yale University"
]
] |
One of the methods used to extend two-dimensional bosonization to four space-time dimensions involves a transformation to new spatial variables so that only one of them appears kinematically. The problem is then reduced to an Abelian version of two-dimensional bosonization with extra ``internal'' coordinates. On a formal level, putting these internal coordinates on a finite lattice seems to provide a well-defined prescription for calculating correlation functions. However, in the infinite-lattice or continuum limits, certain difficulties appear that require very delicate specification of all of the many limiting procedures involved in the construction.
|
1311.1218
|
Shouvik Datta
|
Shouvik Datta, Justin R. David
|
Renyi entropies of free bosons on the torus and holography
|
Published version. 56 pages. 6 figures. Argument for the agreement of
the leading finite size corrections evaluated from CFT and gravity has been
added
|
JHEP04 (2014) 081
|
10.1007/JHEP04(2014)081
| null |
hep-th cond-mat.stat-mech gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analytically evaluate the Renyi entropies for the two dimensional free
boson CFT. The CFT is considered to be compactified on a circle and at finite
temperature. The Renyi entropies S_n are evaluated for a single interval using
the two point function of bosonic twist fields on a torus. For the case of the
compact boson, the sum over the classical saddle points results in the
Riemann-Siegel theta function associated with the A_{n-1} lattice. We then
study the Renyi entropies in the decompactification regime. We show that in the
limit when the size of the interval becomes the size of the spatial circle, the
entanglement entropy reduces to the thermal entropy of free bosons on a circle.
We then set up a systematic high temperature expansion of the Renyi entropies
and evaluate the finite size corrections for free bosons. Finally we compare
these finite size corrections both for the free boson CFT and the free fermion
CFT with the one-loop corrections obtained from bulk three dimensional
handlebody spacetimes which have higher genus Riemann surfaces as its boundary.
One-loop corrections in these geometries are entirely determined by quantum
numbers of the excitations present in the bulk. This implies that the leading
finite size corrections contributions from one-loop determinants of the
Chern-Simons gauge field and the Dirac field in the dual geometry should
reproduce that of the free boson and the free fermion CFT respectively. By
evaluating these corrections both in the bulk and in the CFT explicitly we show
that this expectation is indeed true.
|
[
{
"created": "Tue, 5 Nov 2013 21:06:58 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2014 05:50:20 GMT",
"version": "v2"
}
] |
2014-04-15
|
[
[
"Datta",
"Shouvik",
""
],
[
"David",
"Justin R.",
""
]
] |
We analytically evaluate the Renyi entropies for the two dimensional free boson CFT. The CFT is considered to be compactified on a circle and at finite temperature. The Renyi entropies S_n are evaluated for a single interval using the two point function of bosonic twist fields on a torus. For the case of the compact boson, the sum over the classical saddle points results in the Riemann-Siegel theta function associated with the A_{n-1} lattice. We then study the Renyi entropies in the decompactification regime. We show that in the limit when the size of the interval becomes the size of the spatial circle, the entanglement entropy reduces to the thermal entropy of free bosons on a circle. We then set up a systematic high temperature expansion of the Renyi entropies and evaluate the finite size corrections for free bosons. Finally we compare these finite size corrections both for the free boson CFT and the free fermion CFT with the one-loop corrections obtained from bulk three dimensional handlebody spacetimes which have higher genus Riemann surfaces as its boundary. One-loop corrections in these geometries are entirely determined by quantum numbers of the excitations present in the bulk. This implies that the leading finite size corrections contributions from one-loop determinants of the Chern-Simons gauge field and the Dirac field in the dual geometry should reproduce that of the free boson and the free fermion CFT respectively. By evaluating these corrections both in the bulk and in the CFT explicitly we show that this expectation is indeed true.
|
hep-th/9804086
|
Robert Carroll
|
Robert Carroll (UIUC)
|
Some remarks on Whitham equations
|
Latex, 26 pages. Some typos corrected and clarification provided
| null | null | null |
hep-th
| null |
A number of formulas are displayed concerning Whitham theory for a simple
example of pure N=2 susy YM with gauge group SU(2). In particular this serves
to illuminate the role of Lambda and T derivatives and the interaction with
prepotentials F based on Seiberg-Witten and Whitham theory.
|
[
{
"created": "Sun, 12 Apr 1998 23:41:14 GMT",
"version": "v1"
},
{
"created": "Sun, 10 May 1998 19:15:14 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Carroll",
"Robert",
"",
"UIUC"
]
] |
A number of formulas are displayed concerning Whitham theory for a simple example of pure N=2 susy YM with gauge group SU(2). In particular this serves to illuminate the role of Lambda and T derivatives and the interaction with prepotentials F based on Seiberg-Witten and Whitham theory.
|
1910.12631
|
Thomas A. Ryttov
|
Thomas A. Ryttov
|
Properties of the $\epsilon$-Expansion, Lagrange Inversion and
Associahedra and the $O(1)$ Model
|
17 pages, 2 figures
| null |
10.1007/JHEP04(2020)072
| null |
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss properties of the $\epsilon$-expansion in $d=4-\epsilon$
dimensions. Using Lagrange inversion we write down an exact expression for the
value of the Wilson-Fisher fixed point coupling order by order in $\epsilon$ in
terms of the beta function coefficients. The $\epsilon$-expansion is
combinatoric in the sense that the Wilson-Fisher fixed point coupling at each
order depends on the beta function coefficients via Bell polynomials. Using
certain properties of Lagrange inversion we then argue that the
$\epsilon$-expansion of the Wilson-Fisher fixed point coupling equally well can
be viewed as a geometric expansion which is controlled by the facial structure
of associahedra. We then write down an exact expression for the value of
anomalous dimensions at the Wilson-Fisher fixed point order by order in
$\epsilon$ in terms of the coefficients of the beta function and anomalous
dimensions.
We finally use our general results to compute the values for the
Wilson-fisher fixed point coupling and critical exponents for the scalar $O(1)$
symmetric model to $O(\epsilon^7)$.
|
[
{
"created": "Mon, 28 Oct 2019 13:00:19 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Apr 2020 11:32:55 GMT",
"version": "v2"
}
] |
2020-04-21
|
[
[
"Ryttov",
"Thomas A.",
""
]
] |
We discuss properties of the $\epsilon$-expansion in $d=4-\epsilon$ dimensions. Using Lagrange inversion we write down an exact expression for the value of the Wilson-Fisher fixed point coupling order by order in $\epsilon$ in terms of the beta function coefficients. The $\epsilon$-expansion is combinatoric in the sense that the Wilson-Fisher fixed point coupling at each order depends on the beta function coefficients via Bell polynomials. Using certain properties of Lagrange inversion we then argue that the $\epsilon$-expansion of the Wilson-Fisher fixed point coupling equally well can be viewed as a geometric expansion which is controlled by the facial structure of associahedra. We then write down an exact expression for the value of anomalous dimensions at the Wilson-Fisher fixed point order by order in $\epsilon$ in terms of the coefficients of the beta function and anomalous dimensions. We finally use our general results to compute the values for the Wilson-fisher fixed point coupling and critical exponents for the scalar $O(1)$ symmetric model to $O(\epsilon^7)$.
|
hep-th/9206016
| null |
Ashoke Sen
|
Macroscopic Charged Heterotic String
|
20 pages, plain.tex
|
Nucl.Phys.B388:457-473,1992
|
10.1016/0550-3213(92)90622-I
|
TIFR-TH-92-29
|
hep-th
| null |
Classical solutions of equations of motion in low energy effective field
theory, describing fundamental charged heterotic string, are found. These
solutions automatically carry an electric current equal to the charge per unit
length, and hence are accompanied by both, electric and magnetic fields. Force
between two parallel strings vanish due to cancellation between electric and
magnetic forces, and also between graviton, dilaton, and antisymmetric tensor
field induced forces. Multi-string solutions describing configuration of
parallel strings are also found. Finally, the solutions are shown to possess
partially broken space-time supersymmetry.
|
[
{
"created": "Wed, 3 Jun 1992 22:09:00 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Sen",
"Ashoke",
""
]
] |
Classical solutions of equations of motion in low energy effective field theory, describing fundamental charged heterotic string, are found. These solutions automatically carry an electric current equal to the charge per unit length, and hence are accompanied by both, electric and magnetic fields. Force between two parallel strings vanish due to cancellation between electric and magnetic forces, and also between graviton, dilaton, and antisymmetric tensor field induced forces. Multi-string solutions describing configuration of parallel strings are also found. Finally, the solutions are shown to possess partially broken space-time supersymmetry.
|
0912.4715
|
Davide Fioravanti
|
Diego Bombardelli, Davide Fioravanti and Roberto Tateo
|
TBA and Y-system for planar $AdS_4/CFT_3$
| null |
Nucl.Phys.B834:543-561,2010
|
10.1016/j.nuclphysb.2010.04.005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture the set of asymptotic Bethe Ansatz equations for the {\it
mirror} model of the $\text{AdS}_4\times\mathbb{CP}^3$ string theory,
corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge
theory in three dimensions. Hence, we derive the (vacuum energy) thermodynamic
Bethe Ansatz equations and the Y-system describing the {\it direct}
$\text{AdS}_4/\text{CFT}_3$ string theory.
|
[
{
"created": "Wed, 23 Dec 2009 19:22:16 GMT",
"version": "v1"
}
] |
2010-05-12
|
[
[
"Bombardelli",
"Diego",
""
],
[
"Fioravanti",
"Davide",
""
],
[
"Tateo",
"Roberto",
""
]
] |
We conjecture the set of asymptotic Bethe Ansatz equations for the {\it mirror} model of the $\text{AdS}_4\times\mathbb{CP}^3$ string theory, corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge theory in three dimensions. Hence, we derive the (vacuum energy) thermodynamic Bethe Ansatz equations and the Y-system describing the {\it direct} $\text{AdS}_4/\text{CFT}_3$ string theory.
|
hep-th/0110145
|
Lai-Him Chan
|
Lai-Him Chan
|
Induced Lorentz-Violating Chern-Simons Term in QED: Uncovering Short
Distance Interaction Terms in the Effective Lagrangian without the Shadow of
Regularization
|
5 pages. Talk presented at the Second Meeting on CPT and Lorentz
Symmetry CPT'01, August 15-18, 2001, Bloomington, Indiana
| null |
10.1142/9789812778123_0040
| null |
hep-th hep-ph
| null |
We show that the correctly evaluated effective Lagrangian should include
short-distance interaction terms which have been avoided under the protection
of usual regularization and must be properly identified and reinstated if
regularization is to be removed. They have special physical and mathematical
significance as well as restoring gauge invariance and suppressing divergence
in the effective Lagrangian. The rich structure of the short-distance
interaction terms can open up challenging opportunities where the conventional
regularization with rigid structure is unavailable and inappropriate. It
becomes clear that gauge invariance is preserved with or without regularization
and therefore there is no Lorentz-Violating Chern-Simons term in QED.
|
[
{
"created": "Tue, 16 Oct 2001 16:13:46 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Chan",
"Lai-Him",
""
]
] |
We show that the correctly evaluated effective Lagrangian should include short-distance interaction terms which have been avoided under the protection of usual regularization and must be properly identified and reinstated if regularization is to be removed. They have special physical and mathematical significance as well as restoring gauge invariance and suppressing divergence in the effective Lagrangian. The rich structure of the short-distance interaction terms can open up challenging opportunities where the conventional regularization with rigid structure is unavailable and inappropriate. It becomes clear that gauge invariance is preserved with or without regularization and therefore there is no Lorentz-Violating Chern-Simons term in QED.
|
hep-th/0508123
|
Iver. H. Brevik
|
I. Brevik, R. Herikstad, and S. Skriudalen
|
Entropy Bound for the TM Electromagnetic Field in the Half Einstein
Universe
|
14 pages, no figures, discussion extended. To appear in Int. J. Mod.
Phys. D
|
Int.J.Mod.Phys.D16:1273-1284,2007
|
10.1142/S021827180701078X
| null |
hep-th gr-qc
| null |
An explicit calculation is given of the entropy/energy ratio for the TM modes
of the electromagnetic field in the half Einstein universe. This geometry
provides a mathematically convenient and physically instructive example of how
the electromagnetic and thermodynamic quantities behave as a function of the
nondimensional parameter \delta=1/2\pi aT, a being the scale factor and T the
temperature. On physical grounds (related to the relaxation time), it is the
case of small \delta's that is pertinent to thermodynamics. We find that as
long as \delta is small, the entropy/energy ratio behaves in the same way as
for the TE modes. The entropy is thus bounded. The present kind of formalism
makes it convenient to study also the influence from frequency dispersion. We
discuss an example where a sharp cutoff dispersion relation can in principle
truncate the electromagnetic oscillations in the Einstein cavity such that only
the lowest mode survives.
|
[
{
"created": "Wed, 17 Aug 2005 14:22:24 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2007 14:25:32 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Brevik",
"I.",
""
],
[
"Herikstad",
"R.",
""
],
[
"Skriudalen",
"S.",
""
]
] |
An explicit calculation is given of the entropy/energy ratio for the TM modes of the electromagnetic field in the half Einstein universe. This geometry provides a mathematically convenient and physically instructive example of how the electromagnetic and thermodynamic quantities behave as a function of the nondimensional parameter \delta=1/2\pi aT, a being the scale factor and T the temperature. On physical grounds (related to the relaxation time), it is the case of small \delta's that is pertinent to thermodynamics. We find that as long as \delta is small, the entropy/energy ratio behaves in the same way as for the TE modes. The entropy is thus bounded. The present kind of formalism makes it convenient to study also the influence from frequency dispersion. We discuss an example where a sharp cutoff dispersion relation can in principle truncate the electromagnetic oscillations in the Einstein cavity such that only the lowest mode survives.
|
1308.5145
|
Stefan Groot Nibbelink
|
Stefan Groot Nibbelink, Orestis Loukas
|
MSSM-like models on Z(8) toroidal orbifolds
|
1+28 pages LaTeX, 27 figures, minor revisions and clarifications,
version to be published in JHEP
| null | null |
LMU-ASC 60/13
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the promising heterotic string searches for MSSM-like models to Z_8
orbifolds. There exist five inequivalent Z_8 toroidal orbifolds distinguished
by two types of twists that act on five different torus lattices; one of which
cannot be represented as a Lie-algebra root lattice. Contrary to previous
investigations, we study the consequences of the different underlying orbifold
torus lattices. Therefore, rather than focussing on one particular geometry, we
perform systematic model searches on these five Z_8 orbifolds simultaneously,
taking all possible inequivalent SU(5) and SO(10) gauge shifts as our starting
point. We present cumulative Tables and Figures comparing the chiral SM and
vector-like exotic spectra on these geometries.
|
[
{
"created": "Fri, 23 Aug 2013 14:49:24 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2013 10:54:36 GMT",
"version": "v2"
}
] |
2013-12-05
|
[
[
"Nibbelink",
"Stefan Groot",
""
],
[
"Loukas",
"Orestis",
""
]
] |
We extend the promising heterotic string searches for MSSM-like models to Z_8 orbifolds. There exist five inequivalent Z_8 toroidal orbifolds distinguished by two types of twists that act on five different torus lattices; one of which cannot be represented as a Lie-algebra root lattice. Contrary to previous investigations, we study the consequences of the different underlying orbifold torus lattices. Therefore, rather than focussing on one particular geometry, we perform systematic model searches on these five Z_8 orbifolds simultaneously, taking all possible inequivalent SU(5) and SO(10) gauge shifts as our starting point. We present cumulative Tables and Figures comparing the chiral SM and vector-like exotic spectra on these geometries.
|
hep-th/0511065
|
Charles Suggs
|
R. Jackiw
|
Weyl Symmetry and the Liouville Theory
|
8 pages, no figures
|
Theor.Math.Phys.148:941-947,2006; Teor.Mat.Fiz.148:80-88,2006
|
10.1007/s11232-006-0090-9
|
MIT-CTP-3699
|
hep-th math-ph math.MP
| null |
Flat-space conformal invariance and curved-space Weyl invariance are simply
related in dimensions greater than two. In two dimensions the Liouville theory
presents an exceptional situation, which we here examine.
|
[
{
"created": "Fri, 4 Nov 2005 22:38:44 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Jackiw",
"R.",
""
]
] |
Flat-space conformal invariance and curved-space Weyl invariance are simply related in dimensions greater than two. In two dimensions the Liouville theory presents an exceptional situation, which we here examine.
|
1401.5975
|
Natalia Pinzani Fokeeva
|
Natalia Pinzani-Fokeeva and Marika Taylor
|
Towards a general fluid/gravity correspondence
|
30 pages, 1 figure
|
Phys. Rev. D 91, 044001 (2015)
|
10.1103/PhysRevD.91.044001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We set up the construction of generic (d+2)-dimensional metrics corresponding
to (d+1)-dimensional fluids, representing holographically the hydrodynamic
regimes of the putative dual theories. We give general seed equilibrium metrics
appropriate to generic bulk stress energy tensors and discuss the implications
of conformal rescalings of the hypersurface on which the fluid is defined. We
then show how to obtain the corresponding hydrodynamic metrics using a
relativistic gradient expansion and discuss the integrability conditions of the
resulting equations. The stress energy tensors of the resulting fluids, both at
and away from equilibrium, satisfy a quadratic constraint. We interpret this
constraint in terms of two possible equations of state for the fluid and show
that only one of the two equations is physical. We illustrate our discussions
with the example of the cutoff AdS fluid, for which we find the precise
interpretation in terms of deformations of the UV conformal field theory.
Finally we discuss the relation between the modern fluid/gravity approach taken
in this paper and the earlier membrane paradigm.
|
[
{
"created": "Thu, 23 Jan 2014 14:03:19 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Jan 2015 17:33:26 GMT",
"version": "v2"
}
] |
2015-02-04
|
[
[
"Pinzani-Fokeeva",
"Natalia",
""
],
[
"Taylor",
"Marika",
""
]
] |
We set up the construction of generic (d+2)-dimensional metrics corresponding to (d+1)-dimensional fluids, representing holographically the hydrodynamic regimes of the putative dual theories. We give general seed equilibrium metrics appropriate to generic bulk stress energy tensors and discuss the implications of conformal rescalings of the hypersurface on which the fluid is defined. We then show how to obtain the corresponding hydrodynamic metrics using a relativistic gradient expansion and discuss the integrability conditions of the resulting equations. The stress energy tensors of the resulting fluids, both at and away from equilibrium, satisfy a quadratic constraint. We interpret this constraint in terms of two possible equations of state for the fluid and show that only one of the two equations is physical. We illustrate our discussions with the example of the cutoff AdS fluid, for which we find the precise interpretation in terms of deformations of the UV conformal field theory. Finally we discuss the relation between the modern fluid/gravity approach taken in this paper and the earlier membrane paradigm.
|
2304.14076
|
Katarzyna Ole\'s
|
C. Adam, D. Ciurla, K. Oles, T. Romanczukiewicz, A. Wereszczynski
|
Relativistic Moduli Space and critical velocity in kink collisions
|
12 pages
| null | null | null |
hep-th math-ph math.MP nlin.PS
|
http://creativecommons.org/licenses/by/4.0/
|
We analyze the perturbative Relativistic Moduli Space approach, where the
amplitudes of the Derrick modes are promoted to collective coordinates. In
particular, we analyse the possibility to calculate the critical velocity,
i.e., the initial velocity of kinks at which single bounce scattering changes
into a multi-bounce or annihilation collision, in the resulting Collective
Coordinate Model (CCM). We find that for a growing number of modes the critical
velocity of the CCM approaches the full field theory value. This is verified in
the case of the $\phi^4$ model, where we reach a $99\%$ accuracy. We also see
such a convergence for a wide range of models belonging to the family of the
double sine-Gordon and Christ-Lee theories, especially in those cases where the
kinks do not reveal a too well pronounced half-kink inner structure.
|
[
{
"created": "Thu, 27 Apr 2023 10:30:22 GMT",
"version": "v1"
},
{
"created": "Sat, 6 May 2023 08:23:19 GMT",
"version": "v2"
}
] |
2023-05-09
|
[
[
"Adam",
"C.",
""
],
[
"Ciurla",
"D.",
""
],
[
"Oles",
"K.",
""
],
[
"Romanczukiewicz",
"T.",
""
],
[
"Wereszczynski",
"A.",
""
]
] |
We analyze the perturbative Relativistic Moduli Space approach, where the amplitudes of the Derrick modes are promoted to collective coordinates. In particular, we analyse the possibility to calculate the critical velocity, i.e., the initial velocity of kinks at which single bounce scattering changes into a multi-bounce or annihilation collision, in the resulting Collective Coordinate Model (CCM). We find that for a growing number of modes the critical velocity of the CCM approaches the full field theory value. This is verified in the case of the $\phi^4$ model, where we reach a $99\%$ accuracy. We also see such a convergence for a wide range of models belonging to the family of the double sine-Gordon and Christ-Lee theories, especially in those cases where the kinks do not reveal a too well pronounced half-kink inner structure.
|
hep-th/0109068
|
Christopher T. Hill
|
Christopher T. Hill
|
Topological Solitons from DeConstructed Extra Dimensions
|
A few minor corrections are implemented. The Chern-Simons charge of
the monopole is consistent with Goldstone and Wilczek's fractional fermion
number
|
Phys.Rev.Lett. 88 (2002) 041601
|
10.1103/PhysRevLett.88.041601
|
FERMILAB-Pub-01/252-T
|
hep-th hep-ph
| null |
A topological monopole-like field configuration exists for Yang-Mills gauge
fields in a 4+1 dimensions. When the extra dimension is compactified to 3+1
dimensions with periodic lattice boundary conditions, these objects reappear in
the low energy effective theory as a novel solution, a gauged-bosonic Skyrmion.
When the low energy theory spontaneously breaks, the Nambu-Goldstone mode
develops a VEV, and the gauged-bosonic Skyrmion morphs into a `t
Hooft--Polyakov monopole.
|
[
{
"created": "Fri, 7 Sep 2001 20:26:22 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2001 16:24:54 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Sep 2001 19:27:12 GMT",
"version": "v3"
},
{
"created": "Tue, 4 Dec 2001 21:53:28 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Hill",
"Christopher T.",
""
]
] |
A topological monopole-like field configuration exists for Yang-Mills gauge fields in a 4+1 dimensions. When the extra dimension is compactified to 3+1 dimensions with periodic lattice boundary conditions, these objects reappear in the low energy effective theory as a novel solution, a gauged-bosonic Skyrmion. When the low energy theory spontaneously breaks, the Nambu-Goldstone mode develops a VEV, and the gauged-bosonic Skyrmion morphs into a `t Hooft--Polyakov monopole.
|
1504.07987
|
Bert Vercnocke
|
Paul de Lange, Daniel R. Mayerson, Bert Vercnocke
|
Structure of Six-Dimensional Microstate Geometries
|
29 pages, v2: references added, published version
| null |
10.1007/JHEP09(2015)075
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the structure of smooth and horizonless microstate geometries
in six dimensions, in the spirit of the five-dimensional analysis of Gibbons
and Warner [arXiv:1305.0957]. In six dimensions, which is the natural setting
for horizonless geometries with the charges of the D1-D5-P black hole, the
natural black objects are strings and there are no Chern-Simons terms for the
tensor gauge fields. However, we still find that the same reasoning applies: in
absence of horizons, there can be no smooth stationary solutions without
non-trivial topology. We use topological arguments to describe the Smarr
formula in various examples: the uplift of the five-dimensional minimal
supergravity microstates to six dimensions, the two-charge D1-D5 microstates,
and the non-extremal JMaRT solution. We also discuss D1-D5-P superstrata and
confirm that the Smarr formula gives the same result as for the D1-D5
supertubes which are topologically equivalent.
|
[
{
"created": "Wed, 29 Apr 2015 20:00:29 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Oct 2015 07:52:13 GMT",
"version": "v2"
}
] |
2015-10-06
|
[
[
"de Lange",
"Paul",
""
],
[
"Mayerson",
"Daniel R.",
""
],
[
"Vercnocke",
"Bert",
""
]
] |
We investigate the structure of smooth and horizonless microstate geometries in six dimensions, in the spirit of the five-dimensional analysis of Gibbons and Warner [arXiv:1305.0957]. In six dimensions, which is the natural setting for horizonless geometries with the charges of the D1-D5-P black hole, the natural black objects are strings and there are no Chern-Simons terms for the tensor gauge fields. However, we still find that the same reasoning applies: in absence of horizons, there can be no smooth stationary solutions without non-trivial topology. We use topological arguments to describe the Smarr formula in various examples: the uplift of the five-dimensional minimal supergravity microstates to six dimensions, the two-charge D1-D5 microstates, and the non-extremal JMaRT solution. We also discuss D1-D5-P superstrata and confirm that the Smarr formula gives the same result as for the D1-D5 supertubes which are topologically equivalent.
|
hep-th/9407031
|
Joe Polchinski
|
Joseph Polchinski
|
Combinatorics of Boundaries in String Theory
|
12 pages, 2 figures, LaTeX
|
Phys.Rev.D50:6041-6045,1994
|
10.1103/PhysRevD.50.R6041
|
NSF-ITP-94-73
|
hep-th
| null |
We investigate the possibility that stringy nonperturbative effects appear as
holes in the world-sheet. We focus on the case of Dirichlet string theory,
which we argue should be formulated differently than in previous work, and we
find that the effects of boundaries are naturally weighted by $e^{-O(1/g_{\rm
st})}$.
|
[
{
"created": "Wed, 6 Jul 1994 01:12:00 GMT",
"version": "v1"
}
] |
2009-10-09
|
[
[
"Polchinski",
"Joseph",
""
]
] |
We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that the effects of boundaries are naturally weighted by $e^{-O(1/g_{\rm st})}$.
|
1704.00504
|
Tomas Ortin
|
Pablo A. Cano, Tomas Ortin and Pedro F. Ramirez
|
A gravitating Yang-Mills instanton
|
19 pages, 4 figures. Some misprints corrected
| null |
10.1007/JHEP07(2017)011
|
IFT-UAM/CSIC-17-019
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an asymptotically flat, spherically symmetric, static, globally
regular and horizonless solution of SU$(2)$-gauged $\mathcal{N}=1,d=5$
supergravity. The SU$(2)$ gauge field is that of the BPST instanton. We argue
that this solution, analogous to the global monopoles found in $d=4$
$\mathcal{N}=2$ and $\mathcal{N}=4$ gauged supergravities, describes the field
of a single string-theory object which does not contribute to the entropy of
black holes when we add it to them and show that it is, indeed, the dimensional
reduction on T$^{5}$ of the gauge 5-brane. We investigate how the energy of the
solution is concentrated as a function of the instanton's scale showing that it
never violates the hoop conjecture although the curvature grows unboundedly in
the zero scale limit.
|
[
{
"created": "Mon, 3 Apr 2017 10:00:18 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Apr 2017 16:57:11 GMT",
"version": "v2"
}
] |
2017-08-02
|
[
[
"Cano",
"Pablo A.",
""
],
[
"Ortin",
"Tomas",
""
],
[
"Ramirez",
"Pedro F.",
""
]
] |
We present an asymptotically flat, spherically symmetric, static, globally regular and horizonless solution of SU$(2)$-gauged $\mathcal{N}=1,d=5$ supergravity. The SU$(2)$ gauge field is that of the BPST instanton. We argue that this solution, analogous to the global monopoles found in $d=4$ $\mathcal{N}=2$ and $\mathcal{N}=4$ gauged supergravities, describes the field of a single string-theory object which does not contribute to the entropy of black holes when we add it to them and show that it is, indeed, the dimensional reduction on T$^{5}$ of the gauge 5-brane. We investigate how the energy of the solution is concentrated as a function of the instanton's scale showing that it never violates the hoop conjecture although the curvature grows unboundedly in the zero scale limit.
|
2206.14249
|
Walter Goldberger
|
Walter D. Goldberger
|
Effective field theories of gravity and compact binary dynamics: A
Snowmass 2021 whitepaper
|
Late. LaTeX, 18+17 pages. 22 Page's. 3 Figures
| null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this whitepaper, I describe modern applications of effective field theory
(EFT) techniques to classical and quantum gravity, with relevance to problems
in astrophysics and cosmology. As in applications of EFT to high-energy,
nuclear, or condensed matter physics, the Wilsonian paradigm based on
decoupling of short distance scales via renormalization group evolution remains
a powerful organizing principle in the context of gravity. However, the
presence of spacetime geometry brings in new elements ( non-trivial
time-dependence, cosmological or black hole event horizons) which necessitate
the introduction of novel field theoretic methods not usually encountered in
applications of EFTs to physics at the energy and intensity frontiers. After a
brief overview of recent developments in the application of EFT methods to
gravity, I will focus on the EFT description of compact binary dynamics,
including an overview of some of its applications to the experimental program
in gravitational wave detection at LIGO/VIRGO and other observatories.
|
[
{
"created": "Tue, 28 Jun 2022 18:56:59 GMT",
"version": "v1"
}
] |
2022-06-30
|
[
[
"Goldberger",
"Walter D.",
""
]
] |
In this whitepaper, I describe modern applications of effective field theory (EFT) techniques to classical and quantum gravity, with relevance to problems in astrophysics and cosmology. As in applications of EFT to high-energy, nuclear, or condensed matter physics, the Wilsonian paradigm based on decoupling of short distance scales via renormalization group evolution remains a powerful organizing principle in the context of gravity. However, the presence of spacetime geometry brings in new elements ( non-trivial time-dependence, cosmological or black hole event horizons) which necessitate the introduction of novel field theoretic methods not usually encountered in applications of EFTs to physics at the energy and intensity frontiers. After a brief overview of recent developments in the application of EFT methods to gravity, I will focus on the EFT description of compact binary dynamics, including an overview of some of its applications to the experimental program in gravitational wave detection at LIGO/VIRGO and other observatories.
|
1111.6061
|
Frederik Denef
|
Dionysios Anninos and Frederik Denef
|
Cosmic Clustering
|
12 pages, 2 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the late time Hartle-Hawking wave function for a free massless
scalar in a fixed de Sitter background encodes a sharp ultrametric structure
for the standard Euclidean distance on the space of field configurations. This
implies a hierarchical, tree-like organization of the state space, reflecting
its genesis as a branched diffusion process. An equivalent mathematical
structure organizes the state space of the Sherrington-Kirkpatrick model of a
spin glass.
|
[
{
"created": "Fri, 25 Nov 2011 17:31:20 GMT",
"version": "v1"
}
] |
2011-11-28
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Denef",
"Frederik",
""
]
] |
We show that the late time Hartle-Hawking wave function for a free massless scalar in a fixed de Sitter background encodes a sharp ultrametric structure for the standard Euclidean distance on the space of field configurations. This implies a hierarchical, tree-like organization of the state space, reflecting its genesis as a branched diffusion process. An equivalent mathematical structure organizes the state space of the Sherrington-Kirkpatrick model of a spin glass.
|
1806.10934
|
Aritra Banerjee
|
Aritra Banerjee, Sagar Biswas, Kamal L Panigrahi
|
On multi-spin classical strings with NS-NS flux
|
22 pages, 4 figures
| null |
10.1007/JHEP08(2018)053
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study multi spin semiclassical strings in $AdS_3\times S^3 \times T^4$
background supported by a mixture of Neveu-Schwarz-Neveu-Schwarz (NS-NS) and
Ramond-Ramond (R-R) fluxes. This `mixed flux' background has been recently
proved to be classically integrable. We start with a particular rigidly
spinning fundamental string in $AdS_3\times S^1$ coupled to the NS-NS flux and
classify the possible profiles. We also find out how the scaling relation among
the energy and angular momenta of such a string changes due to presence of
these fluxes. We emphasize on pure NS-NS flux case and discuss the fate of such
solutions in that limit.
|
[
{
"created": "Thu, 28 Jun 2018 13:08:13 GMT",
"version": "v1"
}
] |
2018-08-29
|
[
[
"Banerjee",
"Aritra",
""
],
[
"Biswas",
"Sagar",
""
],
[
"Panigrahi",
"Kamal L",
""
]
] |
We study multi spin semiclassical strings in $AdS_3\times S^3 \times T^4$ background supported by a mixture of Neveu-Schwarz-Neveu-Schwarz (NS-NS) and Ramond-Ramond (R-R) fluxes. This `mixed flux' background has been recently proved to be classically integrable. We start with a particular rigidly spinning fundamental string in $AdS_3\times S^1$ coupled to the NS-NS flux and classify the possible profiles. We also find out how the scaling relation among the energy and angular momenta of such a string changes due to presence of these fluxes. We emphasize on pure NS-NS flux case and discuss the fate of such solutions in that limit.
|
0809.4075
|
Yi-Xin Chen
|
Chao Cao, Yi-Xin Chen
|
Large Extra Dimensions and Holography
|
Revtex, 4 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The holographic principle asserts that the entropy of a system cannot exceed
its boundary area in Planck units. However, conventional quantum field theory
fails to describe such systems. In this Letter, we assume the existence of
large $n$ extra dimensions and propose a relationship between UV and IR cutoffs
in this case. We find that if $n=2$, this effective field theory could be a
good description of holographic systems. If these extra dimensions are detected
in future experiments, it will help to prove the validity of the holographic
principle. We also discuss implications for the cosmological constant problem.
|
[
{
"created": "Wed, 24 Sep 2008 03:30:33 GMT",
"version": "v1"
}
] |
2008-09-25
|
[
[
"Cao",
"Chao",
""
],
[
"Chen",
"Yi-Xin",
""
]
] |
The holographic principle asserts that the entropy of a system cannot exceed its boundary area in Planck units. However, conventional quantum field theory fails to describe such systems. In this Letter, we assume the existence of large $n$ extra dimensions and propose a relationship between UV and IR cutoffs in this case. We find that if $n=2$, this effective field theory could be a good description of holographic systems. If these extra dimensions are detected in future experiments, it will help to prove the validity of the holographic principle. We also discuss implications for the cosmological constant problem.
|
1710.06731
|
Ercan Kilicarslan
|
Ercan Kilicarslan
|
Topologically Massive Gravity: Anyon Scattering, Weyl-Gauging and
Causality
|
93 Pages, 2 figures, PhD thesis submitted to METU Physics Dept
(Supervisor: Bayram Tekin), minor corrections made, references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis, we studied the Topologically Massive Gravity (TMG) in two
perspectives. Firstly, by using real scalar and abelian gauge fields, we built
the Weyl-invariant extension of TMG which unifies cosmological TMG and
Topologically Massive Electrodynamics (TME) with a Proca mass term. Here, we
have demonstrated that the presence of (Anti)-de Sitter spaces as the
background solution, spontaneously breaks the local Weyl symmetry, whereas the
radiative corrections at two-loop level breaks the symmetry in flat vacuum. The
breaking of Weyl symmetry fixes all the dimensionful parameters and provides
masses to spin-2 and spin-1 particles as in the Higgs mechanism. Secondly, we
calculated the tree-level scattering amplitude in the cosmological TMG plus the
Fierz-Pauli mass term in (Anti)-de Sitter spaces and accordingly found the
relevant weak field potential energies between two covariantly conserved
localized point-like spinning sources. We have shown that in addition to
spin-spin and mass-mass interactions, there also occurs a mass-spin interaction
which is generated by the gravitational Chern-Simons term that changes the
initial spin of particles converting them to gravitational anyons. In addition
to these works concerning TMG, we have also discussed the issue of local
causality in $2+1$ dimensional gravity theories and shown that Einstein's
gravity, TMG and the new massive gravity are causal as long as the sign of the
Newton's constant is set to negative. We study the causality discussion with
the Shapiro time delay method.
|
[
{
"created": "Wed, 18 Oct 2017 13:46:20 GMT",
"version": "v1"
}
] |
2017-10-19
|
[
[
"Kilicarslan",
"Ercan",
""
]
] |
In this thesis, we studied the Topologically Massive Gravity (TMG) in two perspectives. Firstly, by using real scalar and abelian gauge fields, we built the Weyl-invariant extension of TMG which unifies cosmological TMG and Topologically Massive Electrodynamics (TME) with a Proca mass term. Here, we have demonstrated that the presence of (Anti)-de Sitter spaces as the background solution, spontaneously breaks the local Weyl symmetry, whereas the radiative corrections at two-loop level breaks the symmetry in flat vacuum. The breaking of Weyl symmetry fixes all the dimensionful parameters and provides masses to spin-2 and spin-1 particles as in the Higgs mechanism. Secondly, we calculated the tree-level scattering amplitude in the cosmological TMG plus the Fierz-Pauli mass term in (Anti)-de Sitter spaces and accordingly found the relevant weak field potential energies between two covariantly conserved localized point-like spinning sources. We have shown that in addition to spin-spin and mass-mass interactions, there also occurs a mass-spin interaction which is generated by the gravitational Chern-Simons term that changes the initial spin of particles converting them to gravitational anyons. In addition to these works concerning TMG, we have also discussed the issue of local causality in $2+1$ dimensional gravity theories and shown that Einstein's gravity, TMG and the new massive gravity are causal as long as the sign of the Newton's constant is set to negative. We study the causality discussion with the Shapiro time delay method.
|
2406.15860
|
Panupong Cheewaphutthisakun
|
Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton
|
Elliptic Deformation of the Gaiotto-Rap\v{c}\'{a}k Corner VOA and the
Associated Partially Symmetric Polynomials
|
44 pages, version to appear in JHEP
| null | null | null |
hep-th math-ph math.CO math.MP math.QA math.RT
|
http://creativecommons.org/licenses/by/4.0/
|
We construct the elliptic Miura transformation and use it to obtain the
expression of the currents of elliptic corner VOA. We subsequently prove a
novel combinatorial formula that is essential for deriving the quadratic
relations of the currents. In addition, we give a conjecture that relates the
correlation function of the currents of elliptic corner VOA to a certain family
of partially symmetric polynomials. The elliptic Macdonald polynomials,
constructed recently by Awata-Kanno-Mironov-Morozov-Zenkevich, and
Fukuda-Ohkubo-Shiraishi, can be obtained as a particular case of this family.
|
[
{
"created": "Sat, 22 Jun 2024 14:14:13 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2024 13:41:04 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Aug 2024 09:14:38 GMT",
"version": "v3"
}
] |
2024-08-09
|
[
[
"Cheewaphutthisakun",
"Panupong",
""
],
[
"Shiraishi",
"Jun'ichi",
""
],
[
"Wiboonton",
"Keng",
""
]
] |
We construct the elliptic Miura transformation and use it to obtain the expression of the currents of elliptic corner VOA. We subsequently prove a novel combinatorial formula that is essential for deriving the quadratic relations of the currents. In addition, we give a conjecture that relates the correlation function of the currents of elliptic corner VOA to a certain family of partially symmetric polynomials. The elliptic Macdonald polynomials, constructed recently by Awata-Kanno-Mironov-Morozov-Zenkevich, and Fukuda-Ohkubo-Shiraishi, can be obtained as a particular case of this family.
|
1101.2689
|
Peter Arnold
|
Peter Arnold and Diana Vaman
|
Jet quenching in hot strongly coupled gauge theories simplified
|
30 pages, 10 figures
|
JHEP 1104:027,2011
|
10.1007/JHEP04(2011)027
| null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Theoretical studies of jet stopping in strongly-coupled QCD-like plasmas have
used gauge-gravity duality to find that the maximum stopping distance scales
like E^{1/3} for large jet energies E. In recent work studying jets that are
created by finite-size sources in the gauge theory, we found an additional
scale: the typical (as opposed to maximum) jet stopping distance scales like
(EL)^{1/4}, where L is the size of the space-time region where the jet is
created. In this paper, we show that the results of our previous, somewhat
involved computation in the gravity dual, and the (EL)^{1/4} scale in
particular, can be very easily reproduced and understood in terms of the
distance that high-energy particles travel in AdS_5-Schwarzschild space before
falling into the black brane. We also investigate how stopping distances depend
on the conformal dimension of the source operator used to create the jet.
|
[
{
"created": "Thu, 13 Jan 2011 23:07:35 GMT",
"version": "v1"
}
] |
2015-03-17
|
[
[
"Arnold",
"Peter",
""
],
[
"Vaman",
"Diana",
""
]
] |
Theoretical studies of jet stopping in strongly-coupled QCD-like plasmas have used gauge-gravity duality to find that the maximum stopping distance scales like E^{1/3} for large jet energies E. In recent work studying jets that are created by finite-size sources in the gauge theory, we found an additional scale: the typical (as opposed to maximum) jet stopping distance scales like (EL)^{1/4}, where L is the size of the space-time region where the jet is created. In this paper, we show that the results of our previous, somewhat involved computation in the gravity dual, and the (EL)^{1/4} scale in particular, can be very easily reproduced and understood in terms of the distance that high-energy particles travel in AdS_5-Schwarzschild space before falling into the black brane. We also investigate how stopping distances depend on the conformal dimension of the source operator used to create the jet.
|
hep-th/9902031
|
Roland Kirschner
|
D.R. Karakhanyan and R. Kirschner
|
High-energy scattering in gauge theories and integrable spin chains
|
4 pages LATEX, contribution to the 32nd Ahrenshoop Symposium
|
Fortsch.Phys.48:139-142,2000
|
10.1002/(SICI)1521-3978(20001)48:1/3<139::AID-PROP139>3.0.CO;2-S
|
NTZ 4/99, YERPHY 1529(2)-99
|
hep-th
| null |
In the leading log approximation and at large $N_C$ the interaction of two
fermionic and one gluonic reggeons is described by an integrable system
corresponding to an open spin chain.
|
[
{
"created": "Wed, 3 Feb 1999 15:10:37 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Karakhanyan",
"D. R.",
""
],
[
"Kirschner",
"R.",
""
]
] |
In the leading log approximation and at large $N_C$ the interaction of two fermionic and one gluonic reggeons is described by an integrable system corresponding to an open spin chain.
|
hep-th/9606187
| null |
J. Balog, P. Forg\'acs, Z. Horv\'ath and L. Palla
|
Quantum corrections of Abelian Duality Transformations
|
Latex 11 pages; remarks on a free model and references added
|
Phys.Lett. B388 (1996) 121-128
|
10.1016/0370-2693(96)01157-4
| null |
hep-th
| null |
A modification of the Abelian Duality transformations is proposed
guaranteeing that a (not necessarily conformally invariant) $\sigma$-model be
quantum equivalent (at least up to two loops in perturbation theory) to its
dual. This requires a somewhat non standard perturbative treatment of the {\sl
dual} $\sigma$-model. Explicit formulae of the modified duality transformation
are presented for a special class of block diagonal purely metric
$\sigma$-models.
|
[
{
"created": "Fri, 28 Jun 1996 08:15:22 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jul 1996 12:37:27 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Balog",
"J.",
""
],
[
"Forgács",
"P.",
""
],
[
"Horváth",
"Z.",
""
],
[
"Palla",
"L.",
""
]
] |
A modification of the Abelian Duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) $\sigma$-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. This requires a somewhat non standard perturbative treatment of the {\sl dual} $\sigma$-model. Explicit formulae of the modified duality transformation are presented for a special class of block diagonal purely metric $\sigma$-models.
|
hep-th/9903065
|
Shuhei Mano
|
S. Mano
|
AdS3 Gravitational Instantons from Conformal Field Theory
|
22 pages, minor corrections
|
Mod.Phys.Lett. A14 (1999) 1961-1982
|
10.1142/S0217732399002030
|
OU-HET 316
|
hep-th
| null |
A conformal field theory on the boundary of three-dimensional asymptotic
anti-de Sitter spaces which appear as near horizon geometry of D-brane bound
states is discussed. It is shown that partition functions of gravitational
instantons appear as high and low temperature limits of the partition function
of the conformal field theory. The result reproduces phase transition between
the anti-de Sitter space and the BTZ black hole in the bulk gravity.
|
[
{
"created": "Mon, 8 Mar 1999 19:55:06 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Apr 1999 13:00:38 GMT",
"version": "v2"
},
{
"created": "Thu, 1 Jul 1999 08:32:26 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Mano",
"S.",
""
]
] |
A conformal field theory on the boundary of three-dimensional asymptotic anti-de Sitter spaces which appear as near horizon geometry of D-brane bound states is discussed. It is shown that partition functions of gravitational instantons appear as high and low temperature limits of the partition function of the conformal field theory. The result reproduces phase transition between the anti-de Sitter space and the BTZ black hole in the bulk gravity.
|
hep-th/0406038
|
Stefan Vandoren
|
E. Bergshoeff, A. Collinucci, U. Gran, D. Roest and S. Vandoren
|
Non-extremal D-instantons
|
31 pages, 4 figures. v3: minor correction and reference added
|
JHEP 0410 (2004) 031
|
10.1088/1126-6708/2004/10/031
| null |
hep-th
| null |
We construct the most general non-extremal deformation of the D-instanton
solution with maximal rotational symmetry. The general non-supersymmetric
solution carries electric charges of the SL(2,R) symmetry, which correspond to
each of the three conjugacy classes of SL(2,R). Our calculations naturally
generalise to arbitrary dimensions and arbitrary dilaton couplings.
We show that for specific values of the dilaton coupling parameter, the
non-extremal instanton solutions can be viewed as wormholes of non-extremal
Reissner-Nordstr\"om black holes in one higher dimension. We extend this result
by showing that for other values of the dilaton coupling parameter, the
non-extremal instanton solutions can be uplifted to non-extremal non-dilatonic
p-branes in p+1 dimensions higher.
Finally, we attempt to consider the solutions as instantons of (compactified)
type IIB superstring theory. In particular, we derive an elegant formula for
the instanton action. We conjecture that the non-extremal D-instantons can
contribute to the R^8-terms in the type IIB string effective action.
|
[
{
"created": "Thu, 3 Jun 2004 18:10:45 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Sep 2004 15:25:52 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Dec 2004 16:49:08 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bergshoeff",
"E.",
""
],
[
"Collinucci",
"A.",
""
],
[
"Gran",
"U.",
""
],
[
"Roest",
"D.",
""
],
[
"Vandoren",
"S.",
""
]
] |
We construct the most general non-extremal deformation of the D-instanton solution with maximal rotational symmetry. The general non-supersymmetric solution carries electric charges of the SL(2,R) symmetry, which correspond to each of the three conjugacy classes of SL(2,R). Our calculations naturally generalise to arbitrary dimensions and arbitrary dilaton couplings. We show that for specific values of the dilaton coupling parameter, the non-extremal instanton solutions can be viewed as wormholes of non-extremal Reissner-Nordstr\"om black holes in one higher dimension. We extend this result by showing that for other values of the dilaton coupling parameter, the non-extremal instanton solutions can be uplifted to non-extremal non-dilatonic p-branes in p+1 dimensions higher. Finally, we attempt to consider the solutions as instantons of (compactified) type IIB superstring theory. In particular, we derive an elegant formula for the instanton action. We conjecture that the non-extremal D-instantons can contribute to the R^8-terms in the type IIB string effective action.
|
hep-th/9604186
| null |
E. Ivanov and A. Sutulin
|
More on $(4,4)$ supermultiplets in $SU(2)\times SU(2)$ harmonic
superspace
|
25 pages, LaTeX
|
Class.Quant.Grav. 14 (1997) 843-863
|
10.1088/0264-9381/14/4/004
|
ENSLAP-L-588, JINR E2-96-155
|
hep-th
| null |
We define the $SU(2)\times SU(2)$ harmonic superspace analogs of tensor and
nonlinear $(4,4)$, $2D$ supermultiplets. They are described by constrained
analytic superfields and provide an off-shell formulation of a class of
torsionful $(4,4)$ supersymmetric sigma models with abelian translational
isometries on the bosonic target. We examine their relation to $(4,4)$ twisted
multiplets and discuss different types of $(4,4)$ dualities associated with
them. One of these dualities implies the standard abelian $T$-duality relations
between the bosonic targets in the initial and dual sigma model actions. We
show that $N=4$, $2D$ superconformal group admits a simple realization on the
superfields introduced, and present a new superfield form of the $(4,4)$
$SU(2)\times U(1)$ WZNW action.
|
[
{
"created": "Mon, 29 Apr 1996 22:12:27 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Ivanov",
"E.",
""
],
[
"Sutulin",
"A.",
""
]
] |
We define the $SU(2)\times SU(2)$ harmonic superspace analogs of tensor and nonlinear $(4,4)$, $2D$ supermultiplets. They are described by constrained analytic superfields and provide an off-shell formulation of a class of torsionful $(4,4)$ supersymmetric sigma models with abelian translational isometries on the bosonic target. We examine their relation to $(4,4)$ twisted multiplets and discuss different types of $(4,4)$ dualities associated with them. One of these dualities implies the standard abelian $T$-duality relations between the bosonic targets in the initial and dual sigma model actions. We show that $N=4$, $2D$ superconformal group admits a simple realization on the superfields introduced, and present a new superfield form of the $(4,4)$ $SU(2)\times U(1)$ WZNW action.
|
1311.5189
|
Jan Troost
|
Amit Giveon, Nissan Itzhaki, Jan Troost
|
The Black Hole Interior and a Curious Sum Rule
|
8 pages, 2 figures
| null |
10.1007/JHEP03(2014)063
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the Euclidean geometry near non-extremal NS5-branes in string
theory, including regions beyond the horizon and beyond the singularity of the
black brane. The various regions have an exact description in string theory, in
terms of cigar, trumpet and negative level minimal model conformal field
theories. We study the worldsheet elliptic genera of these three superconformal
theories, and show that their sum vanishes. We speculate on the significance of
this curious sum rule for black hole physics.
|
[
{
"created": "Wed, 20 Nov 2013 19:48:11 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
],
[
"Troost",
"Jan",
""
]
] |
We analyze the Euclidean geometry near non-extremal NS5-branes in string theory, including regions beyond the horizon and beyond the singularity of the black brane. The various regions have an exact description in string theory, in terms of cigar, trumpet and negative level minimal model conformal field theories. We study the worldsheet elliptic genera of these three superconformal theories, and show that their sum vanishes. We speculate on the significance of this curious sum rule for black hole physics.
|
2007.15049
|
Enrico Olivucci
|
Sergey Derkachov and Enrico Olivucci
|
Exactly solvable single-trace four point correlators in $\chi$CFT$_4$
|
80 pages, 52 figures. v2: references added
| null |
10.1007/JHEP02(2021)146
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study a wide class of planar single-trace four point
correlators in the chiral conformal field theory ($\chi$CFT$_4$) arising as a
double scaling limit of the $\gamma$-deformed $\mathcal{N}=4$ SYM theory. In
the planar (t'Hooft) limit, each of such correlators is described by a single
Feynman integral having the bulk topology of a square lattice "fishnet" and/or
of an honeycomb lattice of Yukawa vertices. The computation of this class of
Feynmann integrals at any loop is achieved by means of an exactly-solvable spin
chain magnet with $SO(1,5)$ symmetry. In this paper we explain in detail the
solution of the magnet model as presented in our recent letter and we obtain a
general formula for the representation of the Feynman integrals over the
spectrum of the separated variables of the magnet, for any number of scalar and
fermionic fields in the corresponding correlator. For the particular choice of
scalar fields only, our formula reproduces the conjecture of B. Basso and L.
Dixon for the fishnet integrals.
|
[
{
"created": "Wed, 29 Jul 2020 18:36:09 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Oct 2020 20:28:19 GMT",
"version": "v2"
}
] |
2021-03-17
|
[
[
"Derkachov",
"Sergey",
""
],
[
"Olivucci",
"Enrico",
""
]
] |
In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory ($\chi$CFT$_4$) arising as a double scaling limit of the $\gamma$-deformed $\mathcal{N}=4$ SYM theory. In the planar (t'Hooft) limit, each of such correlators is described by a single Feynman integral having the bulk topology of a square lattice "fishnet" and/or of an honeycomb lattice of Yukawa vertices. The computation of this class of Feynmann integrals at any loop is achieved by means of an exactly-solvable spin chain magnet with $SO(1,5)$ symmetry. In this paper we explain in detail the solution of the magnet model as presented in our recent letter and we obtain a general formula for the representation of the Feynman integrals over the spectrum of the separated variables of the magnet, for any number of scalar and fermionic fields in the corresponding correlator. For the particular choice of scalar fields only, our formula reproduces the conjecture of B. Basso and L. Dixon for the fishnet integrals.
|
hep-th/9906152
|
Carlos Munoz
|
C. Munoz
|
Effective Supergravity from Heterotic M-Theory and its Phenomenological
Implications
|
Extended version of a talk given at "Corfu Summer Institute on
Elementary Particle Physics", Kerkyra, Greece, 6-20 September 1998, 16 pages
with 7 figures, JHEP LateX
| null | null |
FTUAM 99/19, IFT-UAM/CSIC-99-24
|
hep-th hep-ph
| null |
In this talk I summarize several recent results concerning the
four-dimensional effective supergravity obtained using a Calabi-Yau
compactification of the $E_8\times E_8$ heterotic string from M-theory. A
simple macroscopic study is provided expanding the theory in powers of two
dimensionless variables. Higher order terms in the K\"ahler potential are
identified and matched with the heterotic string corrections. In the context of
this M-theory expansion, I discuss several phenomenological issues:
universality of soft scalar masses, relations between the different scales of
the theory (eleven-dimensional Planck mass, compactification scale and orbifold
scale) in order to obtain unification at $3\times 10^{16}$ GeV or lower values,
soft supersymmetry-breaking terms, and finally charge and colour breaking
minima. The above analyses are also carried out in the presence of
(non-perturbative) five-branes.
|
[
{
"created": "Fri, 18 Jun 1999 22:00:21 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Munoz",
"C.",
""
]
] |
In this talk I summarize several recent results concerning the four-dimensional effective supergravity obtained using a Calabi-Yau compactification of the $E_8\times E_8$ heterotic string from M-theory. A simple macroscopic study is provided expanding the theory in powers of two dimensionless variables. Higher order terms in the K\"ahler potential are identified and matched with the heterotic string corrections. In the context of this M-theory expansion, I discuss several phenomenological issues: universality of soft scalar masses, relations between the different scales of the theory (eleven-dimensional Planck mass, compactification scale and orbifold scale) in order to obtain unification at $3\times 10^{16}$ GeV or lower values, soft supersymmetry-breaking terms, and finally charge and colour breaking minima. The above analyses are also carried out in the presence of (non-perturbative) five-branes.
|
1912.00027
|
Christoph Roupec
|
Niccol\`o Cribiori, Renata Kallosh, Andrei Linde, Christoph Roupec
|
Mass Production of IIA and IIB dS Vacua
|
47 pages, 17 figures, 16 tables; v2: published version, corrected
typos
| null |
10.1007/JHEP02(2020)063
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe several applications of the recently proposed mass production
procedure, where multiple moduli are stabilized in a dS vacuum, in supergravity
models inspired by string theory. The construction involves a small downshift
of an initial supersymmetric Minkowski minimum to a supersymmetric AdS minimum,
and a consequent small uplift to a dS minimum. Our type IIA examples include dS
stabilization in a 7-moduli model with $[SL(2, \mathbb{R})]^7$ tree level
symmetry, and its simplified version, a 3-moduli STU model. In these models, we
use uplifting anti-D6 branes. In type IIB models, we present 2- and 3-moduli
examples of stable dS vacua in CY three-folds, with an uplifting anti-D3 brane.
These include K3 fibration models, a CICY model and a multi-hole Swiss cheese
model. We also address the issue whether this procedure is limited to a very
small parameter range or if large deviations from the progenitor Minkowski
vacuum are possible.
|
[
{
"created": "Fri, 29 Nov 2019 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2020 10:25:29 GMT",
"version": "v2"
}
] |
2020-03-18
|
[
[
"Cribiori",
"Niccolò",
""
],
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Roupec",
"Christoph",
""
]
] |
We describe several applications of the recently proposed mass production procedure, where multiple moduli are stabilized in a dS vacuum, in supergravity models inspired by string theory. The construction involves a small downshift of an initial supersymmetric Minkowski minimum to a supersymmetric AdS minimum, and a consequent small uplift to a dS minimum. Our type IIA examples include dS stabilization in a 7-moduli model with $[SL(2, \mathbb{R})]^7$ tree level symmetry, and its simplified version, a 3-moduli STU model. In these models, we use uplifting anti-D6 branes. In type IIB models, we present 2- and 3-moduli examples of stable dS vacua in CY three-folds, with an uplifting anti-D3 brane. These include K3 fibration models, a CICY model and a multi-hole Swiss cheese model. We also address the issue whether this procedure is limited to a very small parameter range or if large deviations from the progenitor Minkowski vacuum are possible.
|
hep-th/0003018
|
Robert Oeckl
|
Robert Oeckl
|
Untwisting Noncommutative R^d and the Equivalence of Quantum Field
Theories
|
19 pages, LaTeX with AMS and XY-Pic macros; references added
|
Nucl.Phys. B581 (2000) 559-574
|
10.1016/S0550-3213(00)00281-9
|
DAMTP-2000-26
|
hep-th
| null |
We show that there is a duality exchanging noncommutativity and non-trivial
statistics for quantum field theory on R^d. Employing methods of quantum
groups, we observe that ordinary and noncommutative R^d are related by
twisting. We extend the twist to an equivalence for quantum field theory using
the framework of braided quantum field theory. The twist exchanges both
commutativity with noncommutativity and ordinary with non-trivial statistics.
The same holds for the noncommutative torus.
|
[
{
"created": "Thu, 2 Mar 2000 21:50:35 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2000 16:25:08 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Oeckl",
"Robert",
""
]
] |
We show that there is a duality exchanging noncommutativity and non-trivial statistics for quantum field theory on R^d. Employing methods of quantum groups, we observe that ordinary and noncommutative R^d are related by twisting. We extend the twist to an equivalence for quantum field theory using the framework of braided quantum field theory. The twist exchanges both commutativity with noncommutativity and ordinary with non-trivial statistics. The same holds for the noncommutative torus.
|
hep-th/9408089
|
Margaret Gabler
|
Finn Larsen and Frank Wilczek
|
Geometric Entropy, Wave Functionals, and Fermions
|
27 pages, uses Phyzzx, IASSNS-HEP 94/51
|
Annals Phys. 243 (1995) 280-298
|
10.1006/aphy.1995.1100
| null |
hep-th gr-qc
| null |
We develop techniques for calculating the ground state wave functional and
the geometric entropy for some simple field theories. Special attention is
devoted to fermions, which present special technical difficulties in this
regard. Explicit calculations are carried through for free mass bosons and
fermions in two dimensions, using an adaptation of Unruh's technique to treat
black hole radiance.
|
[
{
"created": "Tue, 16 Aug 1994 12:19:33 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Larsen",
"Finn",
""
],
[
"Wilczek",
"Frank",
""
]
] |
We develop techniques for calculating the ground state wave functional and the geometric entropy for some simple field theories. Special attention is devoted to fermions, which present special technical difficulties in this regard. Explicit calculations are carried through for free mass bosons and fermions in two dimensions, using an adaptation of Unruh's technique to treat black hole radiance.
|
hep-th/9806065
|
Max Banados
|
Maximo Banados and Fernando Mendez
|
A note on covariant action integrals in three dimensions
|
Some improvments in the text and references added. 5 pages (two
column), Latex, no figures
|
Phys. Rev. D 58, 104014 (1998)
|
10.1103/PhysRevD.58.104014
| null |
hep-th
| null |
We compute -in the saddle point approximation- the partition function for the
2+1 black hole using the Gibbons-Hawking approach. Some issues concerning the
definition of thermodynamical ensembles are clarified. It is pointed out that
the right action in covariant form is exactly equal to the Chern-Simons action
with no added boundary terms. This action is finite, yields the right canonical
free energy and has an extremum when the temperature and angular velocity are
fixed. The correspondence with a 1+1 $CFT$ is indicated.
|
[
{
"created": "Mon, 8 Jun 1998 21:19:02 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jun 1998 16:40:49 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Banados",
"Maximo",
""
],
[
"Mendez",
"Fernando",
""
]
] |
We compute -in the saddle point approximation- the partition function for the 2+1 black hole using the Gibbons-Hawking approach. Some issues concerning the definition of thermodynamical ensembles are clarified. It is pointed out that the right action in covariant form is exactly equal to the Chern-Simons action with no added boundary terms. This action is finite, yields the right canonical free energy and has an extremum when the temperature and angular velocity are fixed. The correspondence with a 1+1 $CFT$ is indicated.
|
2402.05999
|
Yaniv Donath
|
Yaniv Donath and Enrico Pajer
|
The In-Out Formalism for In-In Correlators
|
38+10 pages, 4 figures. v2: added clarifying comments and references
| null | null | null |
hep-th astro-ph.CO gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Cosmological correlators, the natural observables of the primordial universe,
have been extensively studied in the past two decades using the in-in formalism
pioneered by Schwinger and Keldysh for the study of dissipative open systems.
Ironically, most applications in cosmology have focused on non-dissipative
closed systems. We show that, for non-dissipative systems, correlators can be
equivalently computed using the in-out formalism with the familiar Feynman
rules. In particular, the myriad of in-in propagators is reduced to a single
(Feynman) time-ordered propagator and no sum over the labelling of vertices is
required. In de Sitter spacetime, this requires extending the expanding
Poincar\'e patch with a contracting patch, which prepares the bra from the
future. Our results are valid for fields of any mass and spin but assuming the
absence of infrared divergences. We present three applications of the in-out
formalism: a representation of correlators in terms of a sum over residues of
Feynman propagators in the energy-momentum domain; an algebraic recursion
relation that computes Minkowski correlators in terms of lower order ones; and
the derivation of cutting rules from Veltman's largest time equation, which we
explicitly develop and exemplify for two-vertex diagrams to all loop orders.
The in-out formalism leads to a natural definition of a de Sitter scattering
matrix, which we discuss in simple examples. Remarkably, we show that our
scattering matrix satisfies the standard optical theorem and the positivity
that follows from it in the forward limit.
|
[
{
"created": "Thu, 8 Feb 2024 19:00:07 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Feb 2024 00:34:26 GMT",
"version": "v2"
}
] |
2024-02-28
|
[
[
"Donath",
"Yaniv",
""
],
[
"Pajer",
"Enrico",
""
]
] |
Cosmological correlators, the natural observables of the primordial universe, have been extensively studied in the past two decades using the in-in formalism pioneered by Schwinger and Keldysh for the study of dissipative open systems. Ironically, most applications in cosmology have focused on non-dissipative closed systems. We show that, for non-dissipative systems, correlators can be equivalently computed using the in-out formalism with the familiar Feynman rules. In particular, the myriad of in-in propagators is reduced to a single (Feynman) time-ordered propagator and no sum over the labelling of vertices is required. In de Sitter spacetime, this requires extending the expanding Poincar\'e patch with a contracting patch, which prepares the bra from the future. Our results are valid for fields of any mass and spin but assuming the absence of infrared divergences. We present three applications of the in-out formalism: a representation of correlators in terms of a sum over residues of Feynman propagators in the energy-momentum domain; an algebraic recursion relation that computes Minkowski correlators in terms of lower order ones; and the derivation of cutting rules from Veltman's largest time equation, which we explicitly develop and exemplify for two-vertex diagrams to all loop orders. The in-out formalism leads to a natural definition of a de Sitter scattering matrix, which we discuss in simple examples. Remarkably, we show that our scattering matrix satisfies the standard optical theorem and the positivity that follows from it in the forward limit.
|
0707.3359
|
Sergei V. Ketov
|
Masao Iihoshi and Sergei V. Ketov
|
On the superstrings-induced four-dimensional gravity, and its
applications to cosmology
|
33 pages, LaTeX, no figures; extensive revision, Sec.6 and references
added, stability analysis included
|
Adv.High Energy Phys.2008:521389,2008
|
10.1155/2008/521389
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the status of the fourth-order (quartic in the spacetime curvature)
terms induced by superstrings/M-theory (compactified on a warped torus) in the
leading order with respect to the Regge slope parameter, and study their
(non-perturbative) impact on the evolution of the Hubble scale in the context
of the four-dimensional FRW cosmology. After taking into account the quantum
ambiguities in the definition of the off-shell superstring effective action, we
propose the generalized Friedmann equations, find the existence of their (de
Sitter) exact inflationary solutions without a spacetime singularity, and
constrain the ambiguities by demanding stability and the scale factor duality
invariance of our solutions. The most naive (Bel-Robinson tensor squared)
quartic terms are ruled out, thus giving the evidence for the necessity of
extra quartic (Ricci tensor-dependent) terms in the off-shell gravitational
effective action for superstrings. Our methods are generalizable to the higher
orders in the spacetime curvature.
|
[
{
"created": "Mon, 23 Jul 2007 10:57:41 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2007 03:42:52 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Nov 2007 07:44:55 GMT",
"version": "v3"
},
{
"created": "Mon, 21 Jan 2008 10:54:05 GMT",
"version": "v4"
},
{
"created": "Tue, 17 Jun 2008 05:32:52 GMT",
"version": "v5"
},
{
"created": "Thu, 4 Sep 2008 10:26:50 GMT",
"version": "v6"
}
] |
2009-12-17
|
[
[
"Iihoshi",
"Masao",
""
],
[
"Ketov",
"Sergei V.",
""
]
] |
We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their (non-perturbative) impact on the evolution of the Hubble scale in the context of the four-dimensional FRW cosmology. After taking into account the quantum ambiguities in the definition of the off-shell superstring effective action, we propose the generalized Friedmann equations, find the existence of their (de Sitter) exact inflationary solutions without a spacetime singularity, and constrain the ambiguities by demanding stability and the scale factor duality invariance of our solutions. The most naive (Bel-Robinson tensor squared) quartic terms are ruled out, thus giving the evidence for the necessity of extra quartic (Ricci tensor-dependent) terms in the off-shell gravitational effective action for superstrings. Our methods are generalizable to the higher orders in the spacetime curvature.
|
1510.08823
|
Israel Ram\'irez
|
Israel Ramirez and Brenno Carlini Vallilo
|
Supertwistor description of the $AdS$ pure spinor string
|
20 pages
|
Phys. Rev. D 93, 086008 (2016)
|
10.1103/PhysRevD.93.086008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe the pure spinor string in the $AdS_5\times S^5$ using
unconstrained matrices first used by Roiban and Siegel for the Green-Schwarz
superstring.
|
[
{
"created": "Thu, 29 Oct 2015 19:20:45 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Apr 2016 20:20:52 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Ramirez",
"Israel",
""
],
[
"Vallilo",
"Brenno Carlini",
""
]
] |
We describe the pure spinor string in the $AdS_5\times S^5$ using unconstrained matrices first used by Roiban and Siegel for the Green-Schwarz superstring.
|
2012.10599
|
Ruben Cordero
|
Jairo Capilla-Valdepe\~na (1), Rub\'en Cordero (1) and Felipe
Maya-Ord\'o\~nez (2) ((1) Departamento de F\'isica, ESFM del Instituto
Polit\'ecnico Nacional, M\'exico, (2) UNITEC, M\'exico)
|
Cosmological restrictions for two DGP branes in a bulk with compactified
extra dimension
|
24 pages, 9 figures
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the cosmological consequences of a two brane system embedded
in a higher dimensional background spacetime with a compactified extra
dimension described with an action that include the intrinsic curvature for
each brane. We find that the dynamics of each brane is related to the other by
means of cosmological restrictions that involve the scale factors, the equation
of state parameters and the Hubble parameters of the two branes. We analyze the
evolution of the scale factor and the equation of state parameter for the
hidden brane when in the visible brane is present a cosmological constant,
radiation or non-relativistic matter. The topological restrictions give rise to
the cosmological scenarios without initial singularity, recollapsing and
oscillating universes.
|
[
{
"created": "Sat, 19 Dec 2020 05:51:31 GMT",
"version": "v1"
}
] |
2020-12-22
|
[
[
"Capilla-Valdepeña",
"Jairo",
""
],
[
"Cordero",
"Rubén",
""
],
[
"Maya-Ordóñez",
"Felipe",
""
]
] |
We investigate the cosmological consequences of a two brane system embedded in a higher dimensional background spacetime with a compactified extra dimension described with an action that include the intrinsic curvature for each brane. We find that the dynamics of each brane is related to the other by means of cosmological restrictions that involve the scale factors, the equation of state parameters and the Hubble parameters of the two branes. We analyze the evolution of the scale factor and the equation of state parameter for the hidden brane when in the visible brane is present a cosmological constant, radiation or non-relativistic matter. The topological restrictions give rise to the cosmological scenarios without initial singularity, recollapsing and oscillating universes.
|
hep-th/9904050
|
Anton Kapustin
|
Martin Gremm, Anton Kapustin
|
N=1 Theories, T-duality, and AdS/CFT correspondence
|
33 pages, Latex, 2 eps figures
|
JHEP 9907:005,1999
|
10.1088/1126-6708/1999/07/005
|
MIT-CTP-2847, PUPT-1844, IASSNS-HEP-99/35
|
hep-th
| null |
We construct an N=1 superconformal field theory using branes of type IIA
string theory. The IIA construction is related via T-duality to a IIB
configuration with 3-branes in a background generated by two intersecting
O7-planes and 7-branes. The IIB background can be viewed as a local piece of an
F-theory compactification previously studied by Sen in connection with the
Gimon-Polchinski orientifold. We discuss the deformations of the IIA and IIB
constructions and describe a new supersymmetric configuration with curving
D6-branes. Starting from the IIB description we find the supergravity dual of
the large N field theory and discuss the matching of operators and KK states.
The matching of non-chiral primaries exhibits some interesting new features. We
also discuss a relevant deformation of the field theory under which it flows to
a line of strongly coupled N=1 fixed points in the infrared. For these fixed
points we find a partial supergravity description.
|
[
{
"created": "Wed, 7 Apr 1999 15:40:32 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Gremm",
"Martin",
""
],
[
"Kapustin",
"Anton",
""
]
] |
We construct an N=1 superconformal field theory using branes of type IIA string theory. The IIA construction is related via T-duality to a IIB configuration with 3-branes in a background generated by two intersecting O7-planes and 7-branes. The IIB background can be viewed as a local piece of an F-theory compactification previously studied by Sen in connection with the Gimon-Polchinski orientifold. We discuss the deformations of the IIA and IIB constructions and describe a new supersymmetric configuration with curving D6-branes. Starting from the IIB description we find the supergravity dual of the large N field theory and discuss the matching of operators and KK states. The matching of non-chiral primaries exhibits some interesting new features. We also discuss a relevant deformation of the field theory under which it flows to a line of strongly coupled N=1 fixed points in the infrared. For these fixed points we find a partial supergravity description.
|
2407.00375
|
Tommaso Canneti
|
Francesco Bigazzi, Tommaso Canneti, Federico Castellani, Aldo L.
Cotrone and Wolfgang M\"uck
|
Hagedorn temperature in holography: world-sheet and effective approaches
|
LaTeX, 54 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide general results on the Hagedorn temperature of planar, strongly
coupled confining gauge theories holographically dual to type II superstring
models on curved backgrounds with Ramond-Ramond and Kalb-Ramond fluxes and
non-trivial dilaton. For exact backgrounds the Hagedorn temperature is
determined up to next-to-next-to-next-to-leading order (NNNLO) in an expansion
in $\alpha'$; in all the other cases the results can be safely trusted up to
NNLO. To reach these goals we exploit two complementary approaches. On the one
hand, we perform an extrapolation to the Hagedorn regime of world-sheet results
obtained from the semiclassical quantization of string configurations winding
around the compact Euclidean time direction. En passant, we provide a detailed
derivation of the fermionic part of the world-sheet spectrum, which is hard to
find in the literature. On the other hand, we perturbatively solve the
equations of motion for the thermal scalar field corresponding to the lightest
mode of the winding string, which in flat space becomes tachyonic above the
Hagedorn temperature. The interplay between different approaches is surely
convenient, but we provide insights about a possible derivation of the whole
NNLO correction to the Hagedorn temperature from a pure world-sheet
perspective; furthermore, we determine the effective mass of the thermal scalar
from the world-sheet in full generality.
|
[
{
"created": "Sat, 29 Jun 2024 08:58:48 GMT",
"version": "v1"
}
] |
2024-07-02
|
[
[
"Bigazzi",
"Francesco",
""
],
[
"Canneti",
"Tommaso",
""
],
[
"Castellani",
"Federico",
""
],
[
"Cotrone",
"Aldo L.",
""
],
[
"Mück",
"Wolfgang",
""
]
] |
We provide general results on the Hagedorn temperature of planar, strongly coupled confining gauge theories holographically dual to type II superstring models on curved backgrounds with Ramond-Ramond and Kalb-Ramond fluxes and non-trivial dilaton. For exact backgrounds the Hagedorn temperature is determined up to next-to-next-to-next-to-leading order (NNNLO) in an expansion in $\alpha'$; in all the other cases the results can be safely trusted up to NNLO. To reach these goals we exploit two complementary approaches. On the one hand, we perform an extrapolation to the Hagedorn regime of world-sheet results obtained from the semiclassical quantization of string configurations winding around the compact Euclidean time direction. En passant, we provide a detailed derivation of the fermionic part of the world-sheet spectrum, which is hard to find in the literature. On the other hand, we perturbatively solve the equations of motion for the thermal scalar field corresponding to the lightest mode of the winding string, which in flat space becomes tachyonic above the Hagedorn temperature. The interplay between different approaches is surely convenient, but we provide insights about a possible derivation of the whole NNLO correction to the Hagedorn temperature from a pure world-sheet perspective; furthermore, we determine the effective mass of the thermal scalar from the world-sheet in full generality.
|
2209.00016
|
Ken Kikuchi
|
Ken Kikuchi
|
Axiomatic rational RG flow
|
10 pages + Appendix, 2 diagrams
| null | null | null |
hep-th cond-mat.str-el math-ph math.CT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We axiomatize rational massless renormalization group flow as Kan extension.
|
[
{
"created": "Wed, 31 Aug 2022 18:00:01 GMT",
"version": "v1"
}
] |
2022-09-02
|
[
[
"Kikuchi",
"Ken",
""
]
] |
We axiomatize rational massless renormalization group flow as Kan extension.
|
1908.06432
|
Yuxuan Liu
|
Yi Ling, Yuxuan Liu, Chao Niu, Yikang Xiao, Cheng-Yong Zhang
|
Holographic Subregion Complexity in General Vaidya Geometry
|
27 pages, 3 figures
|
JHEP11(2019)039
|
10.1007/JHEP11(2019)039
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate general features of the evolution of holographic subregion
complexity (HSC) on Vaidya-AdS metric with a general form. The spacetime is
dual to a sudden quench process in quantum system and HSC is a measure of the
``difference'' between two mixed states. Based on the subregion CV (Complexity
equals Volume) conjecture and in the large size limit, we extract out three
distinct stages during the evolution of HSC: the stage of linear growth at the
early time, the stage of linear growth with a slightly small rate during the
intermediate time and the stage of linear decrease at the late time. The growth
rates of the first two stages are compared with the Lloyd bound. We find that
with some choices of certain parameter, the Lloyd bound is always saturated at
the early time, while at the intermediate stage, the growth rate is always less
than the Lloyd bound. Moreover, the fact that the behavior of CV conjecture and
its version of the subregion in Vaidya spacetime implies that they are
different even in the large size limit.
|
[
{
"created": "Sun, 18 Aug 2019 12:32:24 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Nov 2019 14:36:51 GMT",
"version": "v2"
}
] |
2019-11-12
|
[
[
"Ling",
"Yi",
""
],
[
"Liu",
"Yuxuan",
""
],
[
"Niu",
"Chao",
""
],
[
"Xiao",
"Yikang",
""
],
[
"Zhang",
"Cheng-Yong",
""
]
] |
We investigate general features of the evolution of holographic subregion complexity (HSC) on Vaidya-AdS metric with a general form. The spacetime is dual to a sudden quench process in quantum system and HSC is a measure of the ``difference'' between two mixed states. Based on the subregion CV (Complexity equals Volume) conjecture and in the large size limit, we extract out three distinct stages during the evolution of HSC: the stage of linear growth at the early time, the stage of linear growth with a slightly small rate during the intermediate time and the stage of linear decrease at the late time. The growth rates of the first two stages are compared with the Lloyd bound. We find that with some choices of certain parameter, the Lloyd bound is always saturated at the early time, while at the intermediate stage, the growth rate is always less than the Lloyd bound. Moreover, the fact that the behavior of CV conjecture and its version of the subregion in Vaidya spacetime implies that they are different even in the large size limit.
|
2303.04816
|
Kevin Zhou
|
Philip Schuster, Natalia Toro, Kevin Zhou
|
Interactions of Particles with "Continuous Spin" Fields
|
96 pages, 6 figures. v2: minor typos fixed, matches journal version
|
JHEP 04 (2023) 010
|
10.1007/JHEP04(2023)010
|
SLAC-PUB-17726
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Powerful general arguments allow only a few families of long-range
interactions, exemplified by gauge field theories of electromagnetism and
gravity. However, all of these arguments presuppose that massless fields have
zero spin scale (Casimir invariant) and hence exactly boost invariant helicity.
This misses the most general behavior compatible with Lorentz symmetry. We
present a Lagrangian formalism describing interactions of matter particles with
bosonic "continuous spin" fields with arbitrary spin scale $\rho$. Remarkably,
physical observables are well approximated by familiar theories at frequencies
larger than $\rho$, with calculable deviations at low frequencies and long
distances. For example, we predict specific $\rho$-dependent modifications to
the Lorentz force law and the Larmor formula, which lay the foundation for
experimental tests of the photon's spin scale. We also reproduce known soft
radiation emission amplitudes for nonzero $\rho$. The particles' effective
matter currents are not fully localized to their worldlines when $\rho \neq 0$,
which motivates investigation of manifestly local completions of our theory.
Our results also motivate the development of continuous spin analogues of
gravity and non-Abelian gauge theories. Given the correspondence with familiar
gauge theory in the small $\rho$ limit, we conjecture that continuous spin
particles may in fact mediate known long-range forces, with testable
consequences.
|
[
{
"created": "Wed, 8 Mar 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2023 22:16:06 GMT",
"version": "v2"
}
] |
2023-04-07
|
[
[
"Schuster",
"Philip",
""
],
[
"Toro",
"Natalia",
""
],
[
"Zhou",
"Kevin",
""
]
] |
Powerful general arguments allow only a few families of long-range interactions, exemplified by gauge field theories of electromagnetism and gravity. However, all of these arguments presuppose that massless fields have zero spin scale (Casimir invariant) and hence exactly boost invariant helicity. This misses the most general behavior compatible with Lorentz symmetry. We present a Lagrangian formalism describing interactions of matter particles with bosonic "continuous spin" fields with arbitrary spin scale $\rho$. Remarkably, physical observables are well approximated by familiar theories at frequencies larger than $\rho$, with calculable deviations at low frequencies and long distances. For example, we predict specific $\rho$-dependent modifications to the Lorentz force law and the Larmor formula, which lay the foundation for experimental tests of the photon's spin scale. We also reproduce known soft radiation emission amplitudes for nonzero $\rho$. The particles' effective matter currents are not fully localized to their worldlines when $\rho \neq 0$, which motivates investigation of manifestly local completions of our theory. Our results also motivate the development of continuous spin analogues of gravity and non-Abelian gauge theories. Given the correspondence with familiar gauge theory in the small $\rho$ limit, we conjecture that continuous spin particles may in fact mediate known long-range forces, with testable consequences.
|
hep-th/9510119
|
Andrei Linde
|
Lev Kofman, Andrei Linde, and Alexei A. Starobinsky
|
Non-Thermal Phase Transitions after Inflation
|
4 pages, an improved version to be published in Phys. Rev. Lett
|
Phys.Rev.Lett.76:1011-1014,1996
|
10.1103/PhysRevLett.76.1011
|
SU-ITP-95-21
|
hep-th astro-ph gr-qc hep-ph quant-ph
| null |
At the first stage of reheating after inflation, parametric resonance may
rapidly transfer most of the energy of an inflaton field $\phi$ to the energy
of other bosons. We show that quantum fluctuations of scalar and vector fields
produced at this stage are much greater than they would be in a state of
thermal equilibrium. This leads to cosmological phase transitions of a new
type, which may result in a copious production of topological defects and in a
secondary stage of inflation after reheating.
|
[
{
"created": "Wed, 18 Oct 1995 01:26:57 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Dec 1995 04:45:19 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Jan 1996 05:53:57 GMT",
"version": "v3"
}
] |
2009-09-29
|
[
[
"Kofman",
"Lev",
""
],
[
"Linde",
"Andrei",
""
],
[
"Starobinsky",
"Alexei A.",
""
]
] |
At the first stage of reheating after inflation, parametric resonance may rapidly transfer most of the energy of an inflaton field $\phi$ to the energy of other bosons. We show that quantum fluctuations of scalar and vector fields produced at this stage are much greater than they would be in a state of thermal equilibrium. This leads to cosmological phase transitions of a new type, which may result in a copious production of topological defects and in a secondary stage of inflation after reheating.
|
1811.05485
|
Jordan Cotler
|
Jordan Cotler, Xizhi Han, Xiao-Liang Qi, Zhao Yang
|
Quantum Causal Influence
|
50+18 pages, 27 figures; v2: minor fixes
| null |
10.1007/JHEP07(2019)042
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We introduce a framework to study the emergence of time and causal structure
in quantum many-body systems. In doing so, we consider quantum states which
encode spacetime dynamics, and develop information theoretic tools to extract
the causal relationships between putative spacetime subsystems. Our analysis
reveals a quantum generalization of the thermodynamic arrow of time and begins
to explore the roles of entanglement, scrambling and quantum error correction
in the emergence of spacetime. For instance, exotic causal relationships can
arise due to dynamically induced quantum error correction in spacetime: there
can exist a spatial region in the past which does not causally influence any
small spatial regions in the future, but yet it causally influences the union
of several small spatial regions in the future. We provide examples of quantum
causal influence in Hamiltonian evolution, quantum error correction codes,
quantum teleportation, holographic tensor networks, the final state projection
model of black holes, and many other systems. We find that the quantum causal
influence provides a unifying perspective on spacetime correlations in these
seemingly distinct settings. In addition, we prove a variety of general
structural results and discuss the relation of quantum causal influence to
spacetime quantum entropies.
|
[
{
"created": "Tue, 13 Nov 2018 19:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 2019 16:55:13 GMT",
"version": "v2"
}
] |
2019-11-25
|
[
[
"Cotler",
"Jordan",
""
],
[
"Han",
"Xizhi",
""
],
[
"Qi",
"Xiao-Liang",
""
],
[
"Yang",
"Zhao",
""
]
] |
We introduce a framework to study the emergence of time and causal structure in quantum many-body systems. In doing so, we consider quantum states which encode spacetime dynamics, and develop information theoretic tools to extract the causal relationships between putative spacetime subsystems. Our analysis reveals a quantum generalization of the thermodynamic arrow of time and begins to explore the roles of entanglement, scrambling and quantum error correction in the emergence of spacetime. For instance, exotic causal relationships can arise due to dynamically induced quantum error correction in spacetime: there can exist a spatial region in the past which does not causally influence any small spatial regions in the future, but yet it causally influences the union of several small spatial regions in the future. We provide examples of quantum causal influence in Hamiltonian evolution, quantum error correction codes, quantum teleportation, holographic tensor networks, the final state projection model of black holes, and many other systems. We find that the quantum causal influence provides a unifying perspective on spacetime correlations in these seemingly distinct settings. In addition, we prove a variety of general structural results and discuss the relation of quantum causal influence to spacetime quantum entropies.
|
0806.3612
|
Makoto Sakaguchi
|
Makoto Sakaguchi and Kentaroh Yoshida
|
More super Schrodinger algebras from psu(2,2|4)
|
17pp; version to appear in JHEP
|
JHEP 0808:049,2008
|
10.1088/1126-6708/2008/08/049
|
OIQP-08-05, NSF-KITP-08-82
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss super Schrodinger algebras with less supercharges from N=4
superconformal algebra psu(2,2|4). Firstly N=2 and N=1 superconformal algebras
are constructed from the psu(2,2|4) via projection operators. Then a super
Schrodinger subalgebra is found from each of them. The one obtained from N=2
has 12 supercharges with su(2)^2 x u(1) and the other from N=1 has 6
supercharges with u(1)^3,. By construction, those are still subalgebras of
psu(2,2|4). Another super Schrodinger algebra, which preserves 6 supercharges
with a single u(1) symmetry, is also obtained from N=1 superconformal algebra
su(2,2|1). In particular, it coincides with the symmetry of N=2
non-relativistic Chern-Simons matter system in three dimensions.
|
[
{
"created": "Mon, 23 Jun 2008 05:41:28 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2008 05:20:35 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Sakaguchi",
"Makoto",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] |
We discuss super Schrodinger algebras with less supercharges from N=4 superconformal algebra psu(2,2|4). Firstly N=2 and N=1 superconformal algebras are constructed from the psu(2,2|4) via projection operators. Then a super Schrodinger subalgebra is found from each of them. The one obtained from N=2 has 12 supercharges with su(2)^2 x u(1) and the other from N=1 has 6 supercharges with u(1)^3,. By construction, those are still subalgebras of psu(2,2|4). Another super Schrodinger algebra, which preserves 6 supercharges with a single u(1) symmetry, is also obtained from N=1 superconformal algebra su(2,2|1). In particular, it coincides with the symmetry of N=2 non-relativistic Chern-Simons matter system in three dimensions.
|
1104.2153
|
Daniel Butter
|
Daniel Butter and Sergei M. Kuzenko
|
N=2 AdS supergravity and supercurrents
|
53 pages; v2. typos corrected, references added
|
JHEP 1107 (2011) 081
|
10.1007/JHEP07(2011)081
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the minimal off-shell formulation for four-dimensional N=2
supergravity with a cosmological term, in which the second compensator is an
improved tensor multiplet. We use it to derive a linearized supergravity action
(and its dual versions) around the anti-de Sitter (AdS) background in terms of
three N=2 off-shell multiplets: an unconstrained scalar superfield, vector and
tensor multiplets. This allows us to deduce the structure of the supercurrent
multiplet associated with those supersymmetric theories which naturally couple
to the supergravity formulation chosen, with or without a cosmological term.
Finally, our linearized N=2 AdS supergravity action is reduced to N=1
superspace. The result is a sum of two N=1 linearized actions describing (i)
old minimal supergravity; and (ii) an off-shell massless gravitino multiplet.
We also derive dual formulations for the massless N=1 gravitino multiplet in
AdS. As a by-product of our consideration, we derive the consistent
supergravity extension of the N=1 supercurrent multiplet advocated recently by
Komargodski and Seiberg.
|
[
{
"created": "Tue, 12 Apr 2011 09:38:10 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Apr 2011 09:58:52 GMT",
"version": "v2"
}
] |
2011-08-18
|
[
[
"Butter",
"Daniel",
""
],
[
"Kuzenko",
"Sergei M.",
""
]
] |
We consider the minimal off-shell formulation for four-dimensional N=2 supergravity with a cosmological term, in which the second compensator is an improved tensor multiplet. We use it to derive a linearized supergravity action (and its dual versions) around the anti-de Sitter (AdS) background in terms of three N=2 off-shell multiplets: an unconstrained scalar superfield, vector and tensor multiplets. This allows us to deduce the structure of the supercurrent multiplet associated with those supersymmetric theories which naturally couple to the supergravity formulation chosen, with or without a cosmological term. Finally, our linearized N=2 AdS supergravity action is reduced to N=1 superspace. The result is a sum of two N=1 linearized actions describing (i) old minimal supergravity; and (ii) an off-shell massless gravitino multiplet. We also derive dual formulations for the massless N=1 gravitino multiplet in AdS. As a by-product of our consideration, we derive the consistent supergravity extension of the N=1 supercurrent multiplet advocated recently by Komargodski and Seiberg.
|
hep-th/9206040
| null |
Fernando Martinez-Moras and Eduardo Ramos
|
Higher Dimensional Classical W-Algebras
|
22 pages, Plain TeX, KUL-TF-92/19, US-FT/6-92
|
Commun.Math.Phys. 157 (1993) 573-590
|
10.1007/BF02096883
| null |
hep-th
| null |
Classical $W$-algebras in higher dimensions are constructed. This is achieved
by generalizing the classical Gel'fand-Dickey brackets to the commutative limit
of the ring of classical pseudodifferential operators in arbitrary dimension.
These $W$-algebras are the Poisson structures associated with a higher
dimensional version of the Khokhlov-Zabolotskaya hierarchy (dispersionless
KP-hierarchy). The two dimensional case is worked out explicitly and it is
shown that the role of Diff$S(1)$ is taken by the algebra of generators of
local diffeomorphisms in two dimensions.
|
[
{
"created": "Tue, 9 Jun 1992 23:09:12 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Martinez-Moras",
"Fernando",
""
],
[
"Ramos",
"Eduardo",
""
]
] |
Classical $W$-algebras in higher dimensions are constructed. This is achieved by generalizing the classical Gel'fand-Dickey brackets to the commutative limit of the ring of classical pseudodifferential operators in arbitrary dimension. These $W$-algebras are the Poisson structures associated with a higher dimensional version of the Khokhlov-Zabolotskaya hierarchy (dispersionless KP-hierarchy). The two dimensional case is worked out explicitly and it is shown that the role of Diff$S(1)$ is taken by the algebra of generators of local diffeomorphisms in two dimensions.
|
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