id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9203069 | null | Lev Rozansky, Herbert Saleur | S and T matrices for the super $U(1,1)$ WZW model. Application to
surgery and 3-manifold invariants based on the Alexander Conway polynomial | 43 pages + 37 figures (not included) | Nucl.Phys.B389:365-423,1993 | 10.1016/0550-3213(93)90326-K | null | hep-th math.QA | null | We carry on the study of the Alexander Conway invariant from the quantum
field theory point of view started in \cite{RS91}.
We first discuss in details $S$ and $T$ matrices for the $U(1,1)$ super WZW
model and obtain, for the level $k$ an integer, new finite dimensional
representations of the modular group. These have the remarkable property that
some of the $S$ matrix elements are infinite. Moreover, typical and atypical
representations as well as indecomposable blocks are mixed: truncation to
maximally atypical representations, as advocated in some recent papers, is not
consistent.
The main topological application of this work is the computation of Alexander
invariants for 3-manifolds and for links in 3-manifolds. Invariants of
3-manifolds seem to depend trivially on the level $k$, but still contain
interesting topological information. For Seifert manifolds for instance, they
coincide with the order of the first homology group. Examples of invariants of
links in 3-manifolds are given. They exhibit interesting arithmetic properties.
| [
{
"created": "Wed, 25 Mar 1992 15:28:00 GMT",
"version": "v1"
}
] | 2011-07-18 | [
[
"Rozansky",
"Lev",
""
],
[
"Saleur",
"Herbert",
""
]
] | We carry on the study of the Alexander Conway invariant from the quantum field theory point of view started in \cite{RS91}. We first discuss in details $S$ and $T$ matrices for the $U(1,1)$ super WZW model and obtain, for the level $k$ an integer, new finite dimensional representations of the modular group. These have the remarkable property that some of the $S$ matrix elements are infinite. Moreover, typical and atypical representations as well as indecomposable blocks are mixed: truncation to maximally atypical representations, as advocated in some recent papers, is not consistent. The main topological application of this work is the computation of Alexander invariants for 3-manifolds and for links in 3-manifolds. Invariants of 3-manifolds seem to depend trivially on the level $k$, but still contain interesting topological information. For Seifert manifolds for instance, they coincide with the order of the first homology group. Examples of invariants of links in 3-manifolds are given. They exhibit interesting arithmetic properties. |
1405.4817 | Kristan Jensen | Kristan Jensen, Julian Sonner | Wormholes and entanglement in holography | 9 pages, 4 figures; Gravity Research Foundation essay - Honorable
Mention | null | 10.1142/S0218271814420036 | YITP-SB-14-10, MIT-CTP-4541 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this essay, we consider highly entangled states in theories with a gravity
dual, where the entangled degrees of freedom are causally disconnected from
each other. Using the basic rules of holography, we argue that there is a
non-traversable wormhole in the gravity dual whose geometry encodes the pattern
of the entanglement.
| [
{
"created": "Mon, 19 May 2014 17:49:49 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Jensen",
"Kristan",
""
],
[
"Sonner",
"Julian",
""
]
] | In this essay, we consider highly entangled states in theories with a gravity dual, where the entangled degrees of freedom are causally disconnected from each other. Using the basic rules of holography, we argue that there is a non-traversable wormhole in the gravity dual whose geometry encodes the pattern of the entanglement. |
0808.2508 | Yuichi Hoshino | Yuichi Hoshino | Infrared behaviour of the fermion propagator in unquenched QED$_3$ with
finite threshold effects | 12pages,6figures,Rev.tex4,typos in (13),(17),(18) are corrected | null | 10.1142/9789812838667_0031 | null | hep-th | http://creativecommons.org/licenses/publicdomain/ | To remove the linear infrared divergences in quenched approximation we
include the massive fermion loop to the photon spectral function.Spectral
function of fermion has no one particle singularity if we fix the anomalous
dimension to be unity.In the case of $N$ flavour,$N$ dependence of order
parameter is mild which may be due to screening effects.
| [
{
"created": "Tue, 19 Aug 2008 00:13:44 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Nov 2008 09:47:11 GMT",
"version": "v2"
},
{
"created": "Sun, 5 Apr 2009 09:58:42 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Jun 2009 12:29:16 GMT",
"version": "v4"
}
] | 2017-08-23 | [
[
"Hoshino",
"Yuichi",
""
]
] | To remove the linear infrared divergences in quenched approximation we include the massive fermion loop to the photon spectral function.Spectral function of fermion has no one particle singularity if we fix the anomalous dimension to be unity.In the case of $N$ flavour,$N$ dependence of order parameter is mild which may be due to screening effects. |
1210.6823 | Raul Arias | Ra\'ul E. Arias and Ignacio Salazar Landea | Backreacting p-wave Superconductors | Minor Typos corrected, version published in JHEP | JHEP01(2013)157 | 10.1007/JHEP01(2013)157 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the gravitational backreaction of the non-abelian gauge field on the
gravity dual to a 2+1 p-wave superconductor. We observe that as in the $p+ip$
system a second order phase transition exists between a superconducting and a
normal state. Moreover, we conclude that, below the phase transition
temperature $T_c$ the lowest free energy is achieved by the p-wave solution. In
order to probe the solution, we compute the holographic entanglement entropy.
For both $p$ and $p+ip$ systems the entanglement entropy satisfies an area law.
For any given entangling surface, the p-wave superconductor has lower
entanglement entropy.
| [
{
"created": "Thu, 25 Oct 2012 13:00:12 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2012 17:55:14 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jan 2013 11:46:28 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Arias",
"Raúl E.",
""
],
[
"Landea",
"Ignacio Salazar",
""
]
] | We study the gravitational backreaction of the non-abelian gauge field on the gravity dual to a 2+1 p-wave superconductor. We observe that as in the $p+ip$ system a second order phase transition exists between a superconducting and a normal state. Moreover, we conclude that, below the phase transition temperature $T_c$ the lowest free energy is achieved by the p-wave solution. In order to probe the solution, we compute the holographic entanglement entropy. For both $p$ and $p+ip$ systems the entanglement entropy satisfies an area law. For any given entangling surface, the p-wave superconductor has lower entanglement entropy. |
1812.11955 | Juven C. Wang | Zheyan Wan, Juven Wang | Adjoint QCD$_4$, Deconfined Critical Phenomena, Symmetry-Enriched
Topological Quantum Field Theory, and Higher Symmetry-Extension | 23 pages, 12 figures, 5 tables. v4: ~ PRD version, with improvements
and a correction in Table IV and V. See companions arXiv:1812.11967,
arXiv:1812.11968 and arXiv:1904.00994 | Phys. Rev. D 99, 065013 (2019) | 10.1103/PhysRevD.99.065013 | null | hep-th cond-mat.str-el hep-lat hep-ph math.AT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work explores the candidate phases of the 4d adjoint quantum
chromodynamics (QCD$_4$) with an SU(2) gauge group and two massless adjoint
Weyl fermions. Both Cordova-Dumitrescu and Bi-Senthil propose possible low
energy 4d topological quantum field theories (TQFTs) to saturate the higher 't
Hooft anomalies of adjoint QCD$_4$ under a renormalization-group (RG) flow from
high energy. In this work, we generalize the symmetry-extension method
[arXiv:1705.06728] to higher symmetries, and formulate higher group cohomology
and cobordism theory approach to construct higher-symmetric TQFTs. We prove
that the symmetry-extension method saturates certain anomalies, but also prove
that neither $A \mathcal{P}_2(B_2)$ nor $\mathcal{P}_2(B_2)$ can be fully
trivialized, with the background 1-form field $A$, Pontryagin square
$\mathcal{P}_2$ and 2-form field $B_2$. Surprisingly, this indicates an
obstruction to constructing a fully 1-form center and 0-form chiral symmetry
(full discrete axial symmetry) preserving 4d TQFT with confinement, a no-go
scenario via symmetry-extension for specific higher anomalies. We comment on
the implications and constraints on deconfined quantum critical points (dQCP),
quantum spin liquids (QSL) or quantum fermionic liquids in condensed matter,
and ultraviolet-infrared (UV-IR) duality in 3+1 spacetime dimensions.
| [
{
"created": "Mon, 31 Dec 2018 18:48:41 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 18:59:50 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Feb 2019 18:54:00 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Apr 2019 16:00:00 GMT",
"version": "v4"
}
] | 2019-04-26 | [
[
"Wan",
"Zheyan",
""
],
[
"Wang",
"Juven",
""
]
] | Recent work explores the candidate phases of the 4d adjoint quantum chromodynamics (QCD$_4$) with an SU(2) gauge group and two massless adjoint Weyl fermions. Both Cordova-Dumitrescu and Bi-Senthil propose possible low energy 4d topological quantum field theories (TQFTs) to saturate the higher 't Hooft anomalies of adjoint QCD$_4$ under a renormalization-group (RG) flow from high energy. In this work, we generalize the symmetry-extension method [arXiv:1705.06728] to higher symmetries, and formulate higher group cohomology and cobordism theory approach to construct higher-symmetric TQFTs. We prove that the symmetry-extension method saturates certain anomalies, but also prove that neither $A \mathcal{P}_2(B_2)$ nor $\mathcal{P}_2(B_2)$ can be fully trivialized, with the background 1-form field $A$, Pontryagin square $\mathcal{P}_2$ and 2-form field $B_2$. Surprisingly, this indicates an obstruction to constructing a fully 1-form center and 0-form chiral symmetry (full discrete axial symmetry) preserving 4d TQFT with confinement, a no-go scenario via symmetry-extension for specific higher anomalies. We comment on the implications and constraints on deconfined quantum critical points (dQCP), quantum spin liquids (QSL) or quantum fermionic liquids in condensed matter, and ultraviolet-infrared (UV-IR) duality in 3+1 spacetime dimensions. |
2212.03917 | Miguel Correia | Miguel Correia, Joao Penedones, Antoine Vuignier | Injecting the UV into the Bootstrap: Ising Field Theory | 24 pages + appendices, 29 figures. v2: minor changes, file size
reduced | null | null | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We merge together recent developments in the S-matrix bootstrap program to
develop a dual setup in 2 space-time dimensions incorporating scattering
amplitudes of massive particles and matrix elements of local operators. In
particular, the stress energy tensor allows us to input UV constraints on IR
observables in terms of the central charge $c_{UV}$ of the UV Conformal Field
Theory. We consider two applications: (1) We establish a rigorous lower bound
on $c_{UV}$ of a class of $\mathbb{Z}_2$ symmetric scalar theories in the IR
(including $\phi^4$); (2) We target Ising Field Theory by, first, minimizing
$c_{UV}$ for different values of the magnetic field and, secondly, by
determining the allowed range of cubic coupling and one-particle form-factor
for fixed $c_{UV} = 1/2$ and magnetic field.
| [
{
"created": "Wed, 7 Dec 2022 19:24:51 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Dec 2022 13:14:37 GMT",
"version": "v2"
}
] | 2022-12-27 | [
[
"Correia",
"Miguel",
""
],
[
"Penedones",
"Joao",
""
],
[
"Vuignier",
"Antoine",
""
]
] | We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the stress energy tensor allows us to input UV constraints on IR observables in terms of the central charge $c_{UV}$ of the UV Conformal Field Theory. We consider two applications: (1) We establish a rigorous lower bound on $c_{UV}$ of a class of $\mathbb{Z}_2$ symmetric scalar theories in the IR (including $\phi^4$); (2) We target Ising Field Theory by, first, minimizing $c_{UV}$ for different values of the magnetic field and, secondly, by determining the allowed range of cubic coupling and one-particle form-factor for fixed $c_{UV} = 1/2$ and magnetic field. |
1608.07826 | Giorgos Anastasiou | Giorgos Anastasiou and Rodrigo Olea | From conformal to Einstein Gravity | Improved discussion on Einstein spaces in CG. Reference list updated.
Final version for PRD | Phys. Rev. D 94, 086008 (2016) | 10.1103/PhysRevD.94.086008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a simple derivation of the equivalence between Einstein and
Conformal Gravity (CG) with Neumann boundary conditions given by Maldacena. As
Einstein spacetimes are Bach flat, a generic solution to CG would contain both
Einstein and non-Einstein part. Using this decomposition of the spacetime
curvature in the Weyl tensor, makes manifest the equivalence between the two
theories, both at the level of the action and the variation of it. As a
consequence, we show that the on-shell action for Critical Gravity in four
dimensions is given uniquely in terms of the Bach tensor.
| [
{
"created": "Sun, 28 Aug 2016 15:53:22 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Oct 2016 17:16:19 GMT",
"version": "v2"
}
] | 2016-11-02 | [
[
"Anastasiou",
"Giorgos",
""
],
[
"Olea",
"Rodrigo",
""
]
] | We provide a simple derivation of the equivalence between Einstein and Conformal Gravity (CG) with Neumann boundary conditions given by Maldacena. As Einstein spacetimes are Bach flat, a generic solution to CG would contain both Einstein and non-Einstein part. Using this decomposition of the spacetime curvature in the Weyl tensor, makes manifest the equivalence between the two theories, both at the level of the action and the variation of it. As a consequence, we show that the on-shell action for Critical Gravity in four dimensions is given uniquely in terms of the Bach tensor. |
hep-th/0102208 | Alberto S. Cattaneo | Alberto S.Cattaneo and Giovanni Felder | Poisson sigma models and deformation quantization | 11 pages | Mod.Phys.Lett. A16 (2001) 179-190 | 10.1142/S0217732301003255 | null | hep-th math.QA | null | This is a review aimed at a physics audience on the relation between Poisson
sigma models on surfaces with boundary and deformation quantization. These
models are topological open string theories. In the classical Hamiltonian
approach, we describe the reduced phase space and its structures (symplectic
groupoid), explaining in particular the classical origin of the
non-commutativity of the string end-point coordinates. We also review the
perturbative Lagrangian approach and its connection with Kontsevich's star
product. Finally we comment on the relation between the two approaches.
| [
{
"created": "Wed, 28 Feb 2001 14:44:47 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Cattaneo",
"Alberto S.",
""
],
[
"Felder",
"Giovanni",
""
]
] | This is a review aimed at a physics audience on the relation between Poisson sigma models on surfaces with boundary and deformation quantization. These models are topological open string theories. In the classical Hamiltonian approach, we describe the reduced phase space and its structures (symplectic groupoid), explaining in particular the classical origin of the non-commutativity of the string end-point coordinates. We also review the perturbative Lagrangian approach and its connection with Kontsevich's star product. Finally we comment on the relation between the two approaches. |
hep-th/9809193 | Nobuyoshi Ohta | H.J.W. M\"uller-Kirsten (Univ. Kaiserslautern), Nobuyoshi Ohta (NBI
and Osaka Univ.) and Jian-Ge Zhou (Osaka Univ.) | AdS$_3$/CFT Correspondence, Poincar\'{e} Vacuum State and Greybody
Factors in BTZ Black Holes | 13 pages, Latex, no figures, minor corrections, to appear in Phys.
Lett. B | Phys.Lett. B445 (1999) 287-295 | 10.1016/S0370-2693(98)01465-8 | KL-TH 98/12, OU-HET 304 | hep-th gr-qc | null | The greybody factors in BTZ black holes are evaluated from 2D CFT in the
spirit of AdS$_3$/CFT correspondence. The initial state of black holes in the
usual calculation of greybody factors by effective CFT is described as
Poincar\'{e} vacuum state in 2D CFT. The normalization factor which cannot be
fixed in the effective CFT without appealing to string theory is shown to be
determined by the normalized bulk-to-boundary Green function. The relation
among the greybody factors in different dimensional black holes is exhibited.
Two kinds of $(h,{\bar h})=(1,1)$ operators which couple with the boundary
value of massless scalar field are discussed.
| [
{
"created": "Mon, 28 Sep 1998 08:18:32 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Oct 1998 01:34:23 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 1998 00:49:04 GMT",
"version": "v3"
}
] | 2016-08-15 | [
[
"Müller-Kirsten",
"H. J. W.",
"",
"Univ. Kaiserslautern"
],
[
"Ohta",
"Nobuyoshi",
"",
"NBI\n and Osaka Univ."
],
[
"Zhou",
"Jian-Ge",
"",
"Osaka Univ."
]
] | The greybody factors in BTZ black holes are evaluated from 2D CFT in the spirit of AdS$_3$/CFT correspondence. The initial state of black holes in the usual calculation of greybody factors by effective CFT is described as Poincar\'{e} vacuum state in 2D CFT. The normalization factor which cannot be fixed in the effective CFT without appealing to string theory is shown to be determined by the normalized bulk-to-boundary Green function. The relation among the greybody factors in different dimensional black holes is exhibited. Two kinds of $(h,{\bar h})=(1,1)$ operators which couple with the boundary value of massless scalar field are discussed. |
1806.06693 | Ivan Christov | Avadh Saxena, Ivan C. Christov, Avinash Khare | Higher-order field theories: $\phi^6$, $\phi^8$ and beyond | 24 pages, 7 figures, Springer book class, invited contribution to the
upcoming book "A dynamical perspective on the $\phi^4$ model: Past, present
and future", eds. P.G. Kevrekidis and J. Cuevas-Maraver; v2: revisions as a
result of feedback from book editor; v3: corrects some typos | Springer Series on Nonlinear Systems and Complexity vol. 26, 2019,
pp. 253-279 (chap. 12) | 10.1007/978-3-030-11839-6_12 | LA-UR-18-25094 | hep-th cond-mat.mtrl-sci math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\phi^4$ model has been the "workhorse" of the classical Ginzburg--Landau
phenomenological theory of phase transitions and, furthermore, the foundation
for a large amount of the now-classical developments in nonlinear science.
However, the $\phi^4$ model, in its usual variant (symmetric double-well
potential), can only possess two equilibria. Many complex physical systems
possess more than two equilibria and, furthermore, the number of equilibria can
change as a system parameter (e.g., the temperature in condensed matter
physics) is varied. Thus, "higher-order field theories" come into play. This
chapter discusses recent developments of higher-order field theories,
specifically the $\phi^6$, $\phi^8$ models and beyond. We first establish their
context in the Ginzburg--Landau theory of successive phase transitions,
including a detailed discussion of the symmetric triple well $\phi^6$ potential
and its properties. We also note connections between field theories in
high-energy physics (e.g., "bag models" of quarks within hadrons) and
parametric (deformed) $\phi^6$ models. We briefly mention a few salient points
about even-higher-order field theories of the $\phi^8$, $\phi^{10}$, etc.\
varieties, including the existence of kinks with power-law tail asymptotics
that give rise to long-range interactions. Finally, we conclude with a set of
open problems in the context of higher-order scalar fields theories.
| [
{
"created": "Thu, 14 Jun 2018 16:48:48 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Aug 2018 03:14:14 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Nov 2018 20:14:26 GMT",
"version": "v3"
}
] | 2019-03-04 | [
[
"Saxena",
"Avadh",
""
],
[
"Christov",
"Ivan C.",
""
],
[
"Khare",
"Avinash",
""
]
] | The $\phi^4$ model has been the "workhorse" of the classical Ginzburg--Landau phenomenological theory of phase transitions and, furthermore, the foundation for a large amount of the now-classical developments in nonlinear science. However, the $\phi^4$ model, in its usual variant (symmetric double-well potential), can only possess two equilibria. Many complex physical systems possess more than two equilibria and, furthermore, the number of equilibria can change as a system parameter (e.g., the temperature in condensed matter physics) is varied. Thus, "higher-order field theories" come into play. This chapter discusses recent developments of higher-order field theories, specifically the $\phi^6$, $\phi^8$ models and beyond. We first establish their context in the Ginzburg--Landau theory of successive phase transitions, including a detailed discussion of the symmetric triple well $\phi^6$ potential and its properties. We also note connections between field theories in high-energy physics (e.g., "bag models" of quarks within hadrons) and parametric (deformed) $\phi^6$ models. We briefly mention a few salient points about even-higher-order field theories of the $\phi^8$, $\phi^{10}$, etc.\ varieties, including the existence of kinks with power-law tail asymptotics that give rise to long-range interactions. Finally, we conclude with a set of open problems in the context of higher-order scalar fields theories. |
hep-th/0312214 | Mario Rocca | C.G.Bollini and M.C.Rocca | Convolution of Lorentz Invariant Ultradistributions and Field Theory | LaTeX, 52 pages, no figures | Int.J.Theor.Phys. 43 (2004) 1019-1051 | 10.1023/B:IJTP.0000048599.21501.93 | null | hep-th | null | In this work, a general definition of convolution between two arbitrary four
dimensional Lorentz invariant (fdLi) Tempered Ultradistributions is given, in
both: Minkowskian and Euclidean Space (Spherically symmetric tempered
ultradistributions). The product of two arbitrary fdLi distributions of
exponential type is defined via the convolution of its corresponding Fourier
Transforms. Several examples of convolution of two fdLi Tempered
Ultradistributions are given. In particular we calculate exactly the
convolution of two Feynman's massless propagators. An expression for the
Fourier Transform of a Lorentz invariant Tempered Ultradistribution in terms of
modified Bessel distributions is obtained in this work (Generalization of
Bochner's formula to Minkowskian space). At the same time, and in a previous
step used for the deduction of the convolution formula, we obtain the
generalization to the Minkowskian space, of the dimensional regularization of
the perturbation theory of Green Functions in the Euclidean configuration space
given in ref.[12]. As an example we evaluate the convolution of two
n-dimensional complex-mass Wheeler's propagators.
| [
{
"created": "Wed, 17 Dec 2003 20:43:23 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Bollini",
"C. G.",
""
],
[
"Rocca",
"M. C.",
""
]
] | In this work, a general definition of convolution between two arbitrary four dimensional Lorentz invariant (fdLi) Tempered Ultradistributions is given, in both: Minkowskian and Euclidean Space (Spherically symmetric tempered ultradistributions). The product of two arbitrary fdLi distributions of exponential type is defined via the convolution of its corresponding Fourier Transforms. Several examples of convolution of two fdLi Tempered Ultradistributions are given. In particular we calculate exactly the convolution of two Feynman's massless propagators. An expression for the Fourier Transform of a Lorentz invariant Tempered Ultradistribution in terms of modified Bessel distributions is obtained in this work (Generalization of Bochner's formula to Minkowskian space). At the same time, and in a previous step used for the deduction of the convolution formula, we obtain the generalization to the Minkowskian space, of the dimensional regularization of the perturbation theory of Green Functions in the Euclidean configuration space given in ref.[12]. As an example we evaluate the convolution of two n-dimensional complex-mass Wheeler's propagators. |
0904.0379 | Frederik Scholtz | Sunandan Gangopadhyay and Frederik G Scholtz | Path integral action of a particle in the non commutative plane | null | null | 10.1103/PhysRevLett.102.241602 | NITheP-09-08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non commutative quantum mechanics can be viewed as a quantum system
represented in the space of Hilbert-Schmidt operators acting on non commutative
configuration space. Taking this as departure point, we formulate a coherent
state approach to the path integral representation of the transition amplitude.
From this we derive an action for a particle moving in the non commutative
plane and in the presence of an arbitrary potential. We find that this action
is non local in time. However, this non locality can be removed by introducing
an auxilary field, which leads to a second class constrained system that yields
the non commutative Heisenberg algebra upon quantization. Using this action the
propagator of the free particle and harmonic oscillator are computed
explicitly. For the harmonic oscillator this action yields the frequencies
already obtained by other means in the literature.
| [
{
"created": "Thu, 2 Apr 2009 12:57:22 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Scholtz",
"Frederik G",
""
]
] | Non commutative quantum mechanics can be viewed as a quantum system represented in the space of Hilbert-Schmidt operators acting on non commutative configuration space. Taking this as departure point, we formulate a coherent state approach to the path integral representation of the transition amplitude. From this we derive an action for a particle moving in the non commutative plane and in the presence of an arbitrary potential. We find that this action is non local in time. However, this non locality can be removed by introducing an auxilary field, which leads to a second class constrained system that yields the non commutative Heisenberg algebra upon quantization. Using this action the propagator of the free particle and harmonic oscillator are computed explicitly. For the harmonic oscillator this action yields the frequencies already obtained by other means in the literature. |
1607.02997 | Patricio Gaete | Patricio Gaete and Jos\'e A. Helay\"el-Neto | Remarks on the static potential driven by vacuum nonlinearities in $D=3$
models | 9 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the framework of the gauge-invariant, but path-dependent, variables
formalism, we study the manifestations of vacuum electromagnetic nonlinearities
in $D=3$ models. For this we consider both generalized Born-Infeld and
Pagels-Tomboulis-like electrodynamics, as well as, an Euler-Heisenberg-like
electrodynamics. We explicitly show that generalized Born-Infeld and
Pagels-Tomboulis-like electrodynamics are equivalent, where the static
potential profile contains a long-range (${\raise0.5ex\hbox{$\scriptstyle
1$}\kern-0.1em/\kern-0.15em\lower0.25ex\hbox{$\scriptstyle {{r^2}}$}}$-type)
correction to the Coulomb potential. Interestingly enough, for an
Euler-Heisenberg-like electrodynamics the interaction energy contains a linear
potential, leading to the confinement of static charges.
| [
{
"created": "Mon, 11 Jul 2016 15:23:45 GMT",
"version": "v1"
}
] | 2016-07-12 | [
[
"Gaete",
"Patricio",
""
],
[
"Helayël-Neto",
"José A.",
""
]
] | Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the manifestations of vacuum electromagnetic nonlinearities in $D=3$ models. For this we consider both generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics, as well as, an Euler-Heisenberg-like electrodynamics. We explicitly show that generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics are equivalent, where the static potential profile contains a long-range (${\raise0.5ex\hbox{$\scriptstyle 1$}\kern-0.1em/\kern-0.15em\lower0.25ex\hbox{$\scriptstyle {{r^2}}$}}$-type) correction to the Coulomb potential. Interestingly enough, for an Euler-Heisenberg-like electrodynamics the interaction energy contains a linear potential, leading to the confinement of static charges. |
2405.20386 | Astrid Eichhorn | Astrid Eichhorn, Arthur Hebecker, Jan M. Pawlowski and Johannes
Walcher | The Absolute Swampland | 11 pages, 1 figure | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ``Swampland Program'' aims to discriminate consistent-looking effective
field theories that do not admit a UV completion in quantum gravity from those
that do. While most often developed under the umbrella of string theory,
several swampland criteria have been explored also in other contexts,
especially asymptotically safe gravity. A comparison between different
approaches can help to clarify the dependence of low-energy constraints on UV
physics and thereby shed light on the universality of quantum gravity itself.
In this short review we summarise what is known about three important swampland
conjectures in string theory and in asymptotic safety. We point out future
lines of research that can help to understand to what extent swampland
conjectures are absolute, i.e. hold in quantum gravity in general, or relative,
i.e. belong only to a specific UV framework.
| [
{
"created": "Thu, 30 May 2024 18:00:08 GMT",
"version": "v1"
}
] | 2024-06-03 | [
[
"Eichhorn",
"Astrid",
""
],
[
"Hebecker",
"Arthur",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Walcher",
"Johannes",
""
]
] | The ``Swampland Program'' aims to discriminate consistent-looking effective field theories that do not admit a UV completion in quantum gravity from those that do. While most often developed under the umbrella of string theory, several swampland criteria have been explored also in other contexts, especially asymptotically safe gravity. A comparison between different approaches can help to clarify the dependence of low-energy constraints on UV physics and thereby shed light on the universality of quantum gravity itself. In this short review we summarise what is known about three important swampland conjectures in string theory and in asymptotic safety. We point out future lines of research that can help to understand to what extent swampland conjectures are absolute, i.e. hold in quantum gravity in general, or relative, i.e. belong only to a specific UV framework. |
0806.4309 | Thomas Krajewski | Thomas Krajewski and Pierre Martinetti | Wilsonian renormalization, differential equations and Hopf algebras | 42 pages, 26 figures in PDF format, extended version of a talk given
at the conference "Combinatorics and physics" held at Max Planck Institut
fuer Mathematik in Bonn in march 2007, some misprints corrected | Contemp.Math.539:187,2011 | null | CPT-P36-2008 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present an algebraic formalism inspired by Butcher's
B-series in numerical analysis and the Connes-Kreimer approach to perturbative
renormalization. We first define power series of non linear operators and
propose several applications, among which the perturbative solution of a fixed
point equation using the non linear geometric series. Then, following
Polchinski, we show how perturbative renormalization works for a non linear
perturbation of a linear differential equation that governs the flow of
effective actions. Then, we define a general Hopf algebra of Feynman diagrams
adapted to iterations of background field effective action computations. As a
simple combinatorial illustration, we show how these techniques can be used to
recover the universality of the Tutte polynomial and its relation to the
$q$-state Potts model. As a more sophisticated example, we use ordered diagrams
with decorations and external structures to solve the Polchinski's exact
renormalization group equation. Finally, we work out an analogous construction
for the Schwinger-Dyson equations, which yields a bijection between planar
$\phi^{3}$ diagrams and a certain class of decorated rooted trees.
| [
{
"created": "Thu, 26 Jun 2008 14:29:21 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jul 2008 16:19:08 GMT",
"version": "v2"
}
] | 2011-09-15 | [
[
"Krajewski",
"Thomas",
""
],
[
"Martinetti",
"Pierre",
""
]
] | In this paper, we present an algebraic formalism inspired by Butcher's B-series in numerical analysis and the Connes-Kreimer approach to perturbative renormalization. We first define power series of non linear operators and propose several applications, among which the perturbative solution of a fixed point equation using the non linear geometric series. Then, following Polchinski, we show how perturbative renormalization works for a non linear perturbation of a linear differential equation that governs the flow of effective actions. Then, we define a general Hopf algebra of Feynman diagrams adapted to iterations of background field effective action computations. As a simple combinatorial illustration, we show how these techniques can be used to recover the universality of the Tutte polynomial and its relation to the $q$-state Potts model. As a more sophisticated example, we use ordered diagrams with decorations and external structures to solve the Polchinski's exact renormalization group equation. Finally, we work out an analogous construction for the Schwinger-Dyson equations, which yields a bijection between planar $\phi^{3}$ diagrams and a certain class of decorated rooted trees. |
1310.3555 | Jie Zhou | Jie Zhou | Differential Rings from Special K\"ahler Geometry | reference added, typos corrected | null | null | null | hep-th math.AG math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study triples of graded rings defined over the deformation spaces for
certain one-parameter families of Calabi-Yau threefolds. These rings are
analogues of the rings of modular forms, quasi-modular forms and
almost-holomorphic modular forms. We also discuss some of their applications in
solving the holomorphic anomaly equations.
| [
{
"created": "Mon, 14 Oct 2013 03:44:22 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2014 15:30:04 GMT",
"version": "v2"
}
] | 2014-11-27 | [
[
"Zhou",
"Jie",
""
]
] | We study triples of graded rings defined over the deformation spaces for certain one-parameter families of Calabi-Yau threefolds. These rings are analogues of the rings of modular forms, quasi-modular forms and almost-holomorphic modular forms. We also discuss some of their applications in solving the holomorphic anomaly equations. |
hep-th/9704102 | Gravity Research Group | Alexander Burinskii (Gravity Research Group, IBRAE, Russian Academy of
Sciences) | Kerr Spinning Particle, Strings, and Superparticle Models | minor revision, some grammatical changes and correction of the
misprint before eq.(10); 13p., Latex, Talk at the International Seminar
"Supersymmetry and quantum field theory" dedicated to the memory of
D.V.Volkov, Kharkov, January 1997 | Phys.Rev. D57 (1998) 2392-2396 | 10.1103/PhysRevD.57.2392 | IBRAE-97-12 | hep-th gr-qc | null | A combined model of the Kerr spinning particle and superparticle is
considered. The structure of the Kerr geometry is presented in a complex form
as being created by a complex source. A natural supergeneralization of this
construction is obtained corresponding to a complex "supersource". Peforming a
supershift to the Kerr and Kerr-Sen solutions we obtain metrics of supergravity
black holes with a nonlinear realization of broken supersymmetry.
| [
{
"created": "Mon, 14 Apr 1997 07:09:10 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Feb 1998 14:12:34 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Burinskii",
"Alexander",
"",
"Gravity Research Group, IBRAE, Russian Academy of\n Sciences"
]
] | A combined model of the Kerr spinning particle and superparticle is considered. The structure of the Kerr geometry is presented in a complex form as being created by a complex source. A natural supergeneralization of this construction is obtained corresponding to a complex "supersource". Peforming a supershift to the Kerr and Kerr-Sen solutions we obtain metrics of supergravity black holes with a nonlinear realization of broken supersymmetry. |
1206.0432 | Christian Saemann | Christian Saemann | M-Brane Models and Loop Spaces | Invited review to appear in MPLA based on a talk given at UC Berkeley
on 31.5.2011, 19 pages | Mod. Phys. Lett. A, Vol. 27, No. 20 (2012) 1230019 | 10.1142/S0217732312300194 | HWM-12-07; EMPG-12-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I review an extension of the ADHMN construction of monopoles to M-brane
models. This extended construction gives a map from solutions to the
Basu-Harvey equation to solutions to the self-dual string equation transgressed
to loop space. Loop spaces appear in fact quite naturally in M-brane models.
This is demonstrated by translating a recently proposed M5-brane model to loop
space. Finally, I comment on some recent developments related to the loop space
approach to M-brane models.
| [
{
"created": "Sun, 3 Jun 2012 11:22:29 GMT",
"version": "v1"
}
] | 2012-06-22 | [
[
"Saemann",
"Christian",
""
]
] | I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models. |
0808.0411 | Ahmad Ghodsi | Mohammad R. Garousi, Ahmad Ghodsi | Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong
Coupling | 20 pages, latex file. v3: The final version, to appear in NPB | Nucl.Phys.B812:470-487,2009 | 10.1016/j.nuclphysb.2008.12.008 | IPM/P-2008/046 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the duality conjecture between N=6 supersymmetric U(N)_k \times
U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we
calculate the corrections to the shear viscosity of the field theory at
temperature T. At strong 't Hooft coupling and at small k level, we have
considered one-loop correction to the M-theory effective action. At large k
level, we have considered the alpha' correction to the type IIA effective
action. In both cases the correction to the ratio of shear viscosity to the
entropy density is positive.
| [
{
"created": "Mon, 4 Aug 2008 10:06:42 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Aug 2008 16:00:31 GMT",
"version": "v2"
},
{
"created": "Sat, 6 Dec 2008 09:57:50 GMT",
"version": "v3"
}
] | 2009-02-16 | [
[
"Garousi",
"Mohammad R.",
""
],
[
"Ghodsi",
"Ahmad",
""
]
] | Using the duality conjecture between N=6 supersymmetric U(N)_k \times U(N)_{-k} Chern-Simons theory and M-theory on AdS_4 \times S^7/Z_{k}, we calculate the corrections to the shear viscosity of the field theory at temperature T. At strong 't Hooft coupling and at small k level, we have considered one-loop correction to the M-theory effective action. At large k level, we have considered the alpha' correction to the type IIA effective action. In both cases the correction to the ratio of shear viscosity to the entropy density is positive. |
0903.2169 | Chethan Krishnan | Chethan Krishnan, Stanislav Kuperstein | A Comment on Kerr-CFT and Wald Entropy | 11 pages, v2,3: refs added, minor changes | Phys.Lett.B677:326-331,2009 | 10.1016/j.physletb.2009.05.056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that the entropies of black holes in general diffeomorphism
invariant theories, computed using the Kerr-CFT correspondence and the Wald
formula (as implemented in the entropy function formalism), need not always
agree. A simple way to illustrate this is to consider Einstein-Gauss-Bonnet
gravity in four dimensions, where the Gauss-Bonnet term is topological. This
means that the central charge of Kerr-CFT computed in the
Barnich-Brandt-Compere formalism remains the same as in Einstein gravity, while
the entropy computed using the entropy function gives a universal correction
proportional to the Gauss-Bonnet coupling. We argue that at least in this
example, the Kerr-CFT result is the physically reasonable one. The resolution
to this discrepancy might lie in a better understanding of boundary terms.
| [
{
"created": "Thu, 12 Mar 2009 16:21:54 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Mar 2009 14:32:38 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Mar 2009 15:46:27 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Krishnan",
"Chethan",
""
],
[
"Kuperstein",
"Stanislav",
""
]
] | We point out that the entropies of black holes in general diffeomorphism invariant theories, computed using the Kerr-CFT correspondence and the Wald formula (as implemented in the entropy function formalism), need not always agree. A simple way to illustrate this is to consider Einstein-Gauss-Bonnet gravity in four dimensions, where the Gauss-Bonnet term is topological. This means that the central charge of Kerr-CFT computed in the Barnich-Brandt-Compere formalism remains the same as in Einstein gravity, while the entropy computed using the entropy function gives a universal correction proportional to the Gauss-Bonnet coupling. We argue that at least in this example, the Kerr-CFT result is the physically reasonable one. The resolution to this discrepancy might lie in a better understanding of boundary terms. |
hep-th/0309245 | Rudra Prakash Malik | R. P. Malik (Bose National Centre) | Notoph Gauge Theory as Hodge Theory | LaTeX file, 7 pages, Talk delivered at an Internatioonal Workshop on
``Supersymmetries and Quantum Symmetries (SQS'03)'' held at BLTP, JINR, Dubna
(24-29 July 2003) in memory of Prof. V. I. Ogievetsky on the occasion of his
75th birth anniversary, Appeared in the Proceedings of the workshop SQS:'03,
pp. 321--326 | null | null | null | hep-th | null | In the framework of an extended BRST formalism, it is shown that the four $(3
+ 1)$-dimensional (4D) free Abelian 2-form (notoph) gauge theory presents an
example of a tractable field theoretical model for the Hodge theory.
| [
{
"created": "Fri, 26 Sep 2003 17:07:48 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Sep 2003 12:11:25 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Oct 2003 11:23:27 GMT",
"version": "v3"
},
{
"created": "Mon, 25 Oct 2004 11:50:42 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre"
]
] | In the framework of an extended BRST formalism, it is shown that the four $(3 + 1)$-dimensional (4D) free Abelian 2-form (notoph) gauge theory presents an example of a tractable field theoretical model for the Hodge theory. |
hep-th/9707183 | Porfyriadis | P.I. Porfyriadis and D. Papadopoulos | Null Strings in Kerr Spacetime | 11 pages, LaTex, no figures, final version to be published in
Phys.Lett.B, references added | Phys.Lett. B417 (1998) 27-32 | 10.1016/S0370-2693(97)01395-6 | THES-TP 97/05 | hep-th gr-qc | null | The null string's equations of motion and constraints in the Kerr spacetime
are given. We assume a generic ansatz for the null strings in the Kerr
spacetime and we present the resulting solutions in quadratures. Some specific
string configurations, that follow from the generic one, are considered
separately. In each case we also extract the corresponding solutions in the
Schwarzschild spacetime.
| [
{
"created": "Tue, 22 Jul 1997 03:49:02 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 1997 15:01:42 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Porfyriadis",
"P. I.",
""
],
[
"Papadopoulos",
"D.",
""
]
] | The null string's equations of motion and constraints in the Kerr spacetime are given. We assume a generic ansatz for the null strings in the Kerr spacetime and we present the resulting solutions in quadratures. Some specific string configurations, that follow from the generic one, are considered separately. In each case we also extract the corresponding solutions in the Schwarzschild spacetime. |
hep-th/9907092 | Renzo Collina | Carlo Becchi and Renzo Collina | Further comments on the background field method and gauge invariant
effective actions | 21 pages, Latex 2e | Nucl.Phys.B562:412-430,1999 | 10.1016/S0550-3213(99)00555-6 | GEF-TH-04/994 | hep-th | null | The aim of this paper is to give a firm and clear proof of the existence in
the background field framework of a gauge invariant effective action for any
gauge theory ({\it background gauge equivalence}). Here by effective action we
mean a functional whose Legendre transform restricted to the physical shell
generates the matrix elements of the connected $S$-matrix. We resume and
clarify a former argument due to Abbott, Grisaru and Schaefer based on the
gauge-artifact nature of the background fields and on the identification of the
gauge invariant effective action with the generator of the proper, background
field, vertices.
| [
{
"created": "Tue, 13 Jul 1999 08:26:11 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Becchi",
"Carlo",
""
],
[
"Collina",
"Renzo",
""
]
] | The aim of this paper is to give a firm and clear proof of the existence in the background field framework of a gauge invariant effective action for any gauge theory ({\it background gauge equivalence}). Here by effective action we mean a functional whose Legendre transform restricted to the physical shell generates the matrix elements of the connected $S$-matrix. We resume and clarify a former argument due to Abbott, Grisaru and Schaefer based on the gauge-artifact nature of the background fields and on the identification of the gauge invariant effective action with the generator of the proper, background field, vertices. |
1812.01702 | Alysson Fabio Ferrari Prof. | A. F. Ferrari, J. R. Nascimento, A. Yu. Petrov | Radiative corrections and Lorentz violation | 31 pages, 1 table | Eur. Phys. J. C 80, 459 (2020) | 10.1140/epjc/s10052-020-8000-0 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Radiative corrections in Lorentz violating (LV) models have already received
a lot of attention in the literature in recent years, with many instances where
a LV operator in one sector of the Standard Model Extension (SME) generates,
via loop corrections, one of the LV coefficients in the photon sector, which is
probably the most understood and well constrained part of the SME. In many of
these works, however, the now standard notation of the SME is not used, which
can obscure the comparison of different results, and their possible
phenomenological relevance. In this work, we fill this gap, trying to build up
a more general perspective on the topic, bringing many of the results to the
SME conventional notation and commenting on their possible phenomenological
relevance. We uncover one example where a result already presented in the
literature can be used to place a stronger bound on the temporal component of
the b_{\mu} coefficient of the fermion sector of the SME.
| [
{
"created": "Tue, 4 Dec 2018 21:40:23 GMT",
"version": "v1"
}
] | 2020-05-25 | [
[
"Ferrari",
"A. F.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | Radiative corrections in Lorentz violating (LV) models have already received a lot of attention in the literature in recent years, with many instances where a LV operator in one sector of the Standard Model Extension (SME) generates, via loop corrections, one of the LV coefficients in the photon sector, which is probably the most understood and well constrained part of the SME. In many of these works, however, the now standard notation of the SME is not used, which can obscure the comparison of different results, and their possible phenomenological relevance. In this work, we fill this gap, trying to build up a more general perspective on the topic, bringing many of the results to the SME conventional notation and commenting on their possible phenomenological relevance. We uncover one example where a result already presented in the literature can be used to place a stronger bound on the temporal component of the b_{\mu} coefficient of the fermion sector of the SME. |
hep-th/0702046 | Murat Gunaydin | Murat Gunaydin | Harmonic Superspace, Minimal Unitary Representations and Quasiconformal
Groups | 20 pages; Latex file: references added; minor cosmetic changes | JHEP 0705:049,2007 | 10.1088/1126-6708/2007/05/049 | null | hep-th | null | We show that there is a remarkable connection between the harmonic superspace
(HSS) formulation of N=2, d=4 supersymmetric quaternionic Kaehler sigma models
that couple to N=2 supergravity and the minimal unitary representations of
their isometry groups. In particular, for N=2 sigma models with quaternionic
symmetric target spaces of the form G/HXSU(2) we establish a one-to-one mapping
between the Killing potentials that generate the isometry group G under Poisson
brackets in the HSS formulation and the generators of the minimal unitary
representation of G obtained by quantization of its geometric realization as a
quasiconformal group. Quasiconformal extensions of U-duality groups of four
dimensional N=2, d=4 Maxwell-Einstein supergravity theories (MESGT) had been
proposed as spectrum generating symmetry groups earlier. We discuss some of the
implications of our results, in particular, for the BPS black hole spectra of
4d, N=2 MESGTs.
| [
{
"created": "Tue, 6 Feb 2007 20:48:46 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2007 21:50:18 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Mar 2007 04:01:26 GMT",
"version": "v3"
}
] | 2009-11-13 | [
[
"Gunaydin",
"Murat",
""
]
] | We show that there is a remarkable connection between the harmonic superspace (HSS) formulation of N=2, d=4 supersymmetric quaternionic Kaehler sigma models that couple to N=2 supergravity and the minimal unitary representations of their isometry groups. In particular, for N=2 sigma models with quaternionic symmetric target spaces of the form G/HXSU(2) we establish a one-to-one mapping between the Killing potentials that generate the isometry group G under Poisson brackets in the HSS formulation and the generators of the minimal unitary representation of G obtained by quantization of its geometric realization as a quasiconformal group. Quasiconformal extensions of U-duality groups of four dimensional N=2, d=4 Maxwell-Einstein supergravity theories (MESGT) had been proposed as spectrum generating symmetry groups earlier. We discuss some of the implications of our results, in particular, for the BPS black hole spectra of 4d, N=2 MESGTs. |
1810.04753 | Oleg Evnin | Anxo Biasi, Ben Craps, Oleg Evnin | Energy returns in global AdS_4 | v3: cosmetic improvements, published version | Phys. Rev. D 100, 024008 (2019) | 10.1103/PhysRevD.100.024008 | null | hep-th gr-qc nlin.CD | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Recent studies of the weakly nonlinear dynamics of probe fields in global
AdS$_4$ (and of the nonrelativistic limit of AdS resulting in the
Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical
returns for two-mode initial data. In this paper, we address the question
whether similar exact returns are present in the weakly nonlinear dynamics of
gravitationally backreacting perturbations in global AdS$_4$. In the
literature, approximate returns were first pointed out numerically and with
limited precision. We first provide a thorough numerical analysis and discover
returns that are so accurate that it would be tantalizing to sign off the small
imperfections as an artifact of numerics. To clarify the situation, we
introduce a systematic analytic approach by focusing on solutions with spectra
localized around one of the two lowest modes. This allows us to demonstrate
that in the gravitational case the returns are not exact. Furthermore, our
analysis predicts and explains specific integer numbers of direct-reverse
cascade sequences that result in particularly accurate energy returns
(elaborate hierarchies of more and less precise returns arise if one waits for
appropriate longer multiple periods in this manner). In addition, we explain,
at least in this regime, the ubiquitous appearance of direct-reverse cascades
in the weakly nonlinear dynamics of AdS-like systems.
| [
{
"created": "Wed, 10 Oct 2018 21:41:46 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jan 2019 14:48:20 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jul 2019 03:29:19 GMT",
"version": "v3"
}
] | 2019-07-17 | [
[
"Biasi",
"Anxo",
""
],
[
"Craps",
"Ben",
""
],
[
"Evnin",
"Oleg",
""
]
] | Recent studies of the weakly nonlinear dynamics of probe fields in global AdS$_4$ (and of the nonrelativistic limit of AdS resulting in the Gross-Pitaevskii equation) have revealed a number of cases with exact dynamical returns for two-mode initial data. In this paper, we address the question whether similar exact returns are present in the weakly nonlinear dynamics of gravitationally backreacting perturbations in global AdS$_4$. In the literature, approximate returns were first pointed out numerically and with limited precision. We first provide a thorough numerical analysis and discover returns that are so accurate that it would be tantalizing to sign off the small imperfections as an artifact of numerics. To clarify the situation, we introduce a systematic analytic approach by focusing on solutions with spectra localized around one of the two lowest modes. This allows us to demonstrate that in the gravitational case the returns are not exact. Furthermore, our analysis predicts and explains specific integer numbers of direct-reverse cascade sequences that result in particularly accurate energy returns (elaborate hierarchies of more and less precise returns arise if one waits for appropriate longer multiple periods in this manner). In addition, we explain, at least in this regime, the ubiquitous appearance of direct-reverse cascades in the weakly nonlinear dynamics of AdS-like systems. |
0710.2490 | Philipp Kant | Philipp Kant | Dimensional Reduction Applied to Non-Supersymmetric Theories | Submitted for the SUSY07 proceedings, 3 pages | null | null | TTP07-28 | hep-th | null | We consider regularisation of a Yang-Mills theory by Dimensional Reduction
(DRED). In particular, the anomalous dimensions of fermion masses and gauge
coupling are computed to four-loop order. We put special emphasis on the
treatment of evanescent couplings which appear when DRED is applied to
non-supersymmetric theories. We highlight the importance of distinguishing
between the evanescent and the real couplings. Considering the special case of
a Super-Yang-Mills theory, we find that Dimensional Reduction is sufficient to
preserve Supersymmetry in our calculations.
| [
{
"created": "Fri, 12 Oct 2007 15:56:01 GMT",
"version": "v1"
}
] | 2007-10-15 | [
[
"Kant",
"Philipp",
""
]
] | We consider regularisation of a Yang-Mills theory by Dimensional Reduction (DRED). In particular, the anomalous dimensions of fermion masses and gauge coupling are computed to four-loop order. We put special emphasis on the treatment of evanescent couplings which appear when DRED is applied to non-supersymmetric theories. We highlight the importance of distinguishing between the evanescent and the real couplings. Considering the special case of a Super-Yang-Mills theory, we find that Dimensional Reduction is sufficient to preserve Supersymmetry in our calculations. |
1906.01841 | Konstantinos Anagnostopoulos N | Konstantinos N. Anagnostopoulos, Takehiro Azuma, Yuta Ito, Jun
Nishimura, Stratos Kovalkov Papadoudis | Dynamical compactification of extra dimensions in the Euclidean type IIB
matrix model: A numerical study using the complex Langevin method | 13 pages, to appear in the proceedings of Corfu Summer Institute 2018
"School and Workshops on Elementary Particle Physics and Gravity" to be
published in PoS(CORFU2018) | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The type IIB matrix model is conjectured to be a nonperturbative definition
of type IIB superstring theory. In this model, spacetime is a dynamical
quantity and compactification of extra dimensions can be realized via
spontaneous symmetry breaking(SSB). In this work, we consider a simpler,
related, six dimensional model in its Euclidean version and study it
numerically. Our calculations provide evidence that the SO(6) rotational
symmetry of the model breaks down to SO(3), which means that the theory lives
in a vacuum where 3 out of the 6 dimensions are large compared to the other 3.
Our results show the same SSB pattern predicted by the Gaussian expansion
method and that they are in quantitative agreement. The Monte Carlo simulations
are hindered by a severe complex action problem which is addressed by applying
the complex Langevin method.
| [
{
"created": "Wed, 5 Jun 2019 06:25:22 GMT",
"version": "v1"
}
] | 2019-06-06 | [
[
"Anagnostopoulos",
"Konstantinos N.",
""
],
[
"Azuma",
"Takehiro",
""
],
[
"Ito",
"Yuta",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Papadoudis",
"Stratos Kovalkov",
""
]
] | The type IIB matrix model is conjectured to be a nonperturbative definition of type IIB superstring theory. In this model, spacetime is a dynamical quantity and compactification of extra dimensions can be realized via spontaneous symmetry breaking(SSB). In this work, we consider a simpler, related, six dimensional model in its Euclidean version and study it numerically. Our calculations provide evidence that the SO(6) rotational symmetry of the model breaks down to SO(3), which means that the theory lives in a vacuum where 3 out of the 6 dimensions are large compared to the other 3. Our results show the same SSB pattern predicted by the Gaussian expansion method and that they are in quantitative agreement. The Monte Carlo simulations are hindered by a severe complex action problem which is addressed by applying the complex Langevin method. |
1106.6181 | Joseph Manjavidze | Joseph Manjavidze | On the Generalized Correspondence Principle | 4 pages, no figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is noted that quantum theory includes the correspondence principle which
is independent of the value of quantum corrections. Some consequences of this
generalized correspondence principle are considered. For example, it is
discussed how the symmetry constraints can be taken into account.
| [
{
"created": "Thu, 30 Jun 2011 10:41:39 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2012 10:00:23 GMT",
"version": "v2"
}
] | 2012-07-24 | [
[
"Manjavidze",
"Joseph",
""
]
] | It is noted that quantum theory includes the correspondence principle which is independent of the value of quantum corrections. Some consequences of this generalized correspondence principle are considered. For example, it is discussed how the symmetry constraints can be taken into account. |
1107.5067 | Gang Yang | Andreas Brandhuber, Omer Gurdogan, Robert Mooney, Gabriele Travaglini,
Gang Yang | Harmony of Super Form Factors | 1+42 pages, 18 figures; v2. affiliation updated, typo fixed | JHEP 1110:046,2011 | 10.1007/JHEP10(2011)046 | QMUL-11-08, NSF-KITP-11-146 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we continue our systematic study of form factors of half-BPS
operators in N=4 super Yang-Mills. In particular, we extend various techniques
known for amplitudes to the case of form factors, including MHV rules,
recursion relations, unitarity and dual MHV rules. As an application, we
present the solution of the recursion relation for split-helicity form factors.
We then consider form factors of the stress-tensor multiplet operator and of
its chiral truncation, and write down supersymmetric Ward identities using
chiral as well as non-chiral superspace formalisms. This allows us to obtain
compact formulae for families of form factors, such as the maximally non-MHV
case. Finally we generalise dual MHV rules in dual momentum space to form
factors.
| [
{
"created": "Mon, 25 Jul 2011 20:27:04 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Oct 2011 16:27:32 GMT",
"version": "v2"
}
] | 2011-11-01 | [
[
"Brandhuber",
"Andreas",
""
],
[
"Gurdogan",
"Omer",
""
],
[
"Mooney",
"Robert",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Yang",
"Gang",
""
]
] | In this paper we continue our systematic study of form factors of half-BPS operators in N=4 super Yang-Mills. In particular, we extend various techniques known for amplitudes to the case of form factors, including MHV rules, recursion relations, unitarity and dual MHV rules. As an application, we present the solution of the recursion relation for split-helicity form factors. We then consider form factors of the stress-tensor multiplet operator and of its chiral truncation, and write down supersymmetric Ward identities using chiral as well as non-chiral superspace formalisms. This allows us to obtain compact formulae for families of form factors, such as the maximally non-MHV case. Finally we generalise dual MHV rules in dual momentum space to form factors. |
hep-th/9212037 | null | E. Bergshoeff, R. Percacci, E. Sezgin, K.S. Stelle and P.K. Townsend | $U(1)$--Extended Gauge Algebras in $p$-Loop Space | 13 pages, UG-5/92; CTP-TAMU-63/92; DAMTP/R-92/32;
Imperial/TP/91-92/30; SISSA 157/92/EP | Nucl.Phys. B398 (1993) 343-358 | 10.1016/0550-3213(93)90113-4 | null | hep-th | null | We consider, for $p$ odd, a $p$--brane coupled to a $(p+1)$th rank background
antisymmetric tensor field and to background Yang-Mills (YM) fields {\it via} a
Wess-Zumino term. We obtain the generators of antisymmetric tensor and
Yang-Mills gauge transformations acting on $p$--brane wavefunctionals
(functions on `$p$-loop space'). The Yang-Mills generators do not form a closed
algebra by themselves; instead, the algebra of Yang-Mills and antisymmetric
tensor generators is a $U(1)$ extension of the usual algebra of Yang-Mills
gauge transformations. We construct the $p$-brane's Hamiltonian and thereby
find gauge-covariant functional derivatives acting on $p$--brane
wavefunctionals that commute with the YM and $U(1)$ generators.
| [
{
"created": "Sat, 5 Dec 1992 01:15:33 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bergshoeff",
"E.",
""
],
[
"Percacci",
"R.",
""
],
[
"Sezgin",
"E.",
""
],
[
"Stelle",
"K. S.",
""
],
[
"Townsend",
"P. K.",
""
]
] | We consider, for $p$ odd, a $p$--brane coupled to a $(p+1)$th rank background antisymmetric tensor field and to background Yang-Mills (YM) fields {\it via} a Wess-Zumino term. We obtain the generators of antisymmetric tensor and Yang-Mills gauge transformations acting on $p$--brane wavefunctionals (functions on `$p$-loop space'). The Yang-Mills generators do not form a closed algebra by themselves; instead, the algebra of Yang-Mills and antisymmetric tensor generators is a $U(1)$ extension of the usual algebra of Yang-Mills gauge transformations. We construct the $p$-brane's Hamiltonian and thereby find gauge-covariant functional derivatives acting on $p$--brane wavefunctionals that commute with the YM and $U(1)$ generators. |
2402.05898 | John T. Giblin Jr | Claudia de Rham, John T. Giblin Jr, Andrew J. Tolley | Scalar Radiation with a Quartic Galileon | 12 pages, 6 figures | null | null | Imperial/TP/2024/CdR/2 | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The class of Galileon scalar fields theories encapsulate the Vainshtein
screening mechanism which is characteristic of a large range of infrared
modified theories of gravity. Such theories can lead to testable departures
from General Relativity through fifth forces and new scalar modes of
gravitational radiation. However, the inherent non-linearity of the Vainshtein
mechanism has limited analytic attempts to describe Galileon theories with both
cubic and quartic interactions. To improve on this, we perform direct numerical
simulations of the quartic Galileon model for a rotating binary source and
infer the power spectrum of given multipoles. To tame numerical instabilities
we utilize a low-pass filter, extending previous work on the cubic Galileon.
Our findings show that the multipole expansion is well-defined and under
control. Moreover, our results confirm that despite being a non-linear scalar,
the dominant Galileon radiation is quadrupole, and we find a new scaling
behaviour deep inside the Vainshtein region.
| [
{
"created": "Thu, 8 Feb 2024 18:39:04 GMT",
"version": "v1"
}
] | 2024-02-09 | [
[
"de Rham",
"Claudia",
""
],
[
"Giblin",
"John T.",
"Jr"
],
[
"Tolley",
"Andrew J.",
""
]
] | The class of Galileon scalar fields theories encapsulate the Vainshtein screening mechanism which is characteristic of a large range of infrared modified theories of gravity. Such theories can lead to testable departures from General Relativity through fifth forces and new scalar modes of gravitational radiation. However, the inherent non-linearity of the Vainshtein mechanism has limited analytic attempts to describe Galileon theories with both cubic and quartic interactions. To improve on this, we perform direct numerical simulations of the quartic Galileon model for a rotating binary source and infer the power spectrum of given multipoles. To tame numerical instabilities we utilize a low-pass filter, extending previous work on the cubic Galileon. Our findings show that the multipole expansion is well-defined and under control. Moreover, our results confirm that despite being a non-linear scalar, the dominant Galileon radiation is quadrupole, and we find a new scaling behaviour deep inside the Vainshtein region. |
1002.4378 | David Kastor | Benjamin Ett and David Kastor | An Extended Kerr-Schild Ansatz | 13 pages; v2-improved result in section 5, smaller changes throughout | Class.Quant.Grav.27:185024,2010 | 10.1088/0264-9381/27/18/185024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analysis of the vacuum Einstein equations for a recently
proposed extension of the Kerr-Schild ansatz that includes a spacelike vector
field as well as the usual Kerr-Schild null vector. We show that many, although
not all, of the simplifications that occur in the Kerr-Schild case continue to
hold for the extended ansatz. In particular, we find a simple set of sufficient
conditions on the vectors such that the vacuum field equations truncate beyond
quadratic order in an expansion around a general vacuum background solution. We
extend our analysis to the electrovac case with a related ansatz for the gauge
field.
| [
{
"created": "Tue, 23 Feb 2010 17:48:28 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jun 2010 13:48:53 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Ett",
"Benjamin",
""
],
[
"Kastor",
"David",
""
]
] | We present an analysis of the vacuum Einstein equations for a recently proposed extension of the Kerr-Schild ansatz that includes a spacelike vector field as well as the usual Kerr-Schild null vector. We show that many, although not all, of the simplifications that occur in the Kerr-Schild case continue to hold for the extended ansatz. In particular, we find a simple set of sufficient conditions on the vectors such that the vacuum field equations truncate beyond quadratic order in an expansion around a general vacuum background solution. We extend our analysis to the electrovac case with a related ansatz for the gauge field. |
1607.03411 | Riccardo Iraso | Francesco Bonechi, Alberto S. Cattaneo, Riccardo Iraso | Comparing Poisson Sigma Model with A-model | 15 pages, one missing reference added | Journal of High Energy Physics, 2016(10), 1-12 | 10.1007/JHEP10(2016)133 | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the A-model as a gauge fixing of the Poisson Sigma Model with
target a symplectic structure. We complete the discussion in [arXiv:0706.3164],
where a gauge fixing defined by a compatible complex structure was introduced,
by showing how to recover the A-model hierarchy of observables in terms of the
AKSZ observables. Moreover, we discuss the off-shell supersymmetry of the
A-model as a residual BV symmetry of the gauge-fixed PSM action.
| [
{
"created": "Tue, 12 Jul 2016 15:38:53 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2016 09:10:47 GMT",
"version": "v2"
}
] | 2016-11-09 | [
[
"Bonechi",
"Francesco",
""
],
[
"Cattaneo",
"Alberto S.",
""
],
[
"Iraso",
"Riccardo",
""
]
] | We discuss the A-model as a gauge fixing of the Poisson Sigma Model with target a symplectic structure. We complete the discussion in [arXiv:0706.3164], where a gauge fixing defined by a compatible complex structure was introduced, by showing how to recover the A-model hierarchy of observables in terms of the AKSZ observables. Moreover, we discuss the off-shell supersymmetry of the A-model as a residual BV symmetry of the gauge-fixed PSM action. |
hep-th/0509102 | Jos\'e Eloy Ottoni | M. D. Sampaio, A. P. B. Scarpelli, J. E. Ottoni, M. C. Nemes | Implicit Regularization and Renormalization of QCD | (11 pages, 2 figures) | Int.J.Theor.Phys. 45 (2006) 436-457 | 10.1007/s10773-006-9045-z | null | hep-th | null | We apply the Implicit Regularization Technique (IR) in a non-abelian gauge
theory. We show that IR preserves gauge symmetry as encoded in relations
between the renormalizations constants required by the Slavnov-Taylor
identities at the one loop level of QCD. Moreover, we show that the technique
handles divergencies in massive and massless QFT on equal footing.
| [
{
"created": "Wed, 14 Sep 2005 13:14:30 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Sampaio",
"M. D.",
""
],
[
"Scarpelli",
"A. P. B.",
""
],
[
"Ottoni",
"J. E.",
""
],
[
"Nemes",
"M. C.",
""
]
] | We apply the Implicit Regularization Technique (IR) in a non-abelian gauge theory. We show that IR preserves gauge symmetry as encoded in relations between the renormalizations constants required by the Slavnov-Taylor identities at the one loop level of QCD. Moreover, we show that the technique handles divergencies in massive and massless QFT on equal footing. |
hep-th/9806159 | Juan Maldacena | Ofer Aharony, Ansar Fayyazuddin and Juan Maldacena | The Large N Limit of ${\cal N} =2,1 $ Field Theories from Threebranes in
F-theory | 24 pages. Uses Harvmac. v2: reference added | JHEP 9807:013,1998 | 10.1088/1126-6708/1998/07/013 | HUTP-98/A046, RU-98-26 | hep-th | null | We consider field theories arising from a large number of D3-branes near
singularities in F-theory. We study the theories at various conformal points,
and compute, using their conjectured string theory duals, their large $N$
spectrum of chiral primary operators. This includes, as expected, operators of
fractional conformal dimensions for the theory at Argyres-Douglas points.
Additional operators, which are charged under the (sometimes exceptional)
global symmetries of these theories, come from the 7-branes. In the case of a
$D_4$ singularity we compare our results with field theory and find agreement
for large $N$. Finally, we consider deformations away from the conformal
points, which involve finding new supergravity solutions for the geometry
produced by the 3-branes in the 7-brane background. We also discuss 3-branes in
a general background.
| [
{
"created": "Thu, 18 Jun 1998 23:05:06 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jun 1998 00:18:46 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Jun 1998 18:03:53 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Aharony",
"Ofer",
""
],
[
"Fayyazuddin",
"Ansar",
""
],
[
"Maldacena",
"Juan",
""
]
] | We consider field theories arising from a large number of D3-branes near singularities in F-theory. We study the theories at various conformal points, and compute, using their conjectured string theory duals, their large $N$ spectrum of chiral primary operators. This includes, as expected, operators of fractional conformal dimensions for the theory at Argyres-Douglas points. Additional operators, which are charged under the (sometimes exceptional) global symmetries of these theories, come from the 7-branes. In the case of a $D_4$ singularity we compare our results with field theory and find agreement for large $N$. Finally, we consider deformations away from the conformal points, which involve finding new supergravity solutions for the geometry produced by the 3-branes in the 7-brane background. We also discuss 3-branes in a general background. |
1402.6994 | Pak Hang Chris Lau | P.H.C. Lau and N.S. Manton | Quantization of T_d- and O_h-symmetric Skyrmions | 34 pages, 13 figures | Phys. Rev. D 89, 125012 (2014) | 10.1103/PhysRevD.89.125012 | DAMTP-2014-13 | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The geometrical construction of rational maps using a cubic grid has led to
many new Skyrmion solutions, with baryon numbers up to 108. Energy spectra of
some of the new Skyrmions are calculated here by semi-classical quantization.
Quantization of the B=20 T_d-symmetric Skyrmion, which is one of the newly
found Skyrmions, is considered, and this leads to the development of a new
approach to solving Finkelstein-Rubinstein (F-R) constraints. Matrix equations
are simplified by introducing a Cartesian version of angular momentum basis
states, and the computations are easier. The quantum states of all
T_d-symmetric Skyrmions, constructed from the cubic grid, are classified into
three classes, depending on the contribution of vertex points of the cubic grid
to the rational maps. The analysis is extended to the larger symmetry group
O_h. Quantum states of O_h-symmetric Skyrmions, constructed from the cubic
grid, form a subset of the T_d-symmetric quantum states.
| [
{
"created": "Thu, 27 Feb 2014 17:59:45 GMT",
"version": "v1"
}
] | 2014-06-18 | [
[
"Lau",
"P. H. C.",
""
],
[
"Manton",
"N. S.",
""
]
] | The geometrical construction of rational maps using a cubic grid has led to many new Skyrmion solutions, with baryon numbers up to 108. Energy spectra of some of the new Skyrmions are calculated here by semi-classical quantization. Quantization of the B=20 T_d-symmetric Skyrmion, which is one of the newly found Skyrmions, is considered, and this leads to the development of a new approach to solving Finkelstein-Rubinstein (F-R) constraints. Matrix equations are simplified by introducing a Cartesian version of angular momentum basis states, and the computations are easier. The quantum states of all T_d-symmetric Skyrmions, constructed from the cubic grid, are classified into three classes, depending on the contribution of vertex points of the cubic grid to the rational maps. The analysis is extended to the larger symmetry group O_h. Quantum states of O_h-symmetric Skyrmions, constructed from the cubic grid, form a subset of the T_d-symmetric quantum states. |
2110.09561 | Marcela Pel\'aez | Felipe Figueroa and Marcela Pel\'aez | One-loop unquenched three-gluon and ghost-gluon vertex in the
Curci-Ferrari model | 13 pages, 9 figures | null | 10.1103/PhysRevD.105.094005 | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | In this article we study the unquenched three-gluon and ghost-gluon vertex in
all momentum range going from the ultraviolet to the infrared regime using the
Curci-Ferrari model at one-loop in Landau gauge as an extension of the results
presented in \cite{Pelaez:2013cpa}. Results are compared with recent lattice
data for $SU(3)$ in the unquenched case. This calculation is a pure prediction
of the model because it does not require fixing any parameter once two-point
functions are fitted. An analysis of the influence of dynamical quarks in the
position of the zero crossing of the three-gluon vertex is presented. Due to
the recent improvements in infrared lattice data for the quenched three-gluon
correlation function \cite{Aguilar:2021lke} we also redo the comparison between
our one-loop results in this limit and the lattice obtaining a very good match.
| [
{
"created": "Mon, 18 Oct 2021 18:22:11 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jun 2022 10:19:23 GMT",
"version": "v2"
}
] | 2022-06-28 | [
[
"Figueroa",
"Felipe",
""
],
[
"Peláez",
"Marcela",
""
]
] | In this article we study the unquenched three-gluon and ghost-gluon vertex in all momentum range going from the ultraviolet to the infrared regime using the Curci-Ferrari model at one-loop in Landau gauge as an extension of the results presented in \cite{Pelaez:2013cpa}. Results are compared with recent lattice data for $SU(3)$ in the unquenched case. This calculation is a pure prediction of the model because it does not require fixing any parameter once two-point functions are fitted. An analysis of the influence of dynamical quarks in the position of the zero crossing of the three-gluon vertex is presented. Due to the recent improvements in infrared lattice data for the quenched three-gluon correlation function \cite{Aguilar:2021lke} we also redo the comparison between our one-loop results in this limit and the lattice obtaining a very good match. |
hep-th/9906240 | Mironov | H.W.Braden, A.Marshakov, A.Mironov and A.Morozov | On Double-Elliptic Integrable Systems. 1. A Duality Argument for the
case of SU(2) | 15 pages, LaTeX | null | 10.1016/S0550-3213(99)00739-7 | null | hep-th | null | We construct a two parameter family of 2-particle Hamiltonians closed under
the duality operation of interchanging the (relative) momentum and coordinate.
Both coordinate and momentum dependence are elliptic, and the modulus of the
momentum torus is a non-trivial function of the coordinate. This model contains
as limiting cases the standard Ruijsenaars-Calogero and Toda family of
Hamiltonians, which are at most elliptic in the coordinates, but not in the
momenta.
| [
{
"created": "Tue, 29 Jun 1999 22:23:02 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Braden",
"H. W.",
""
],
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | We construct a two parameter family of 2-particle Hamiltonians closed under the duality operation of interchanging the (relative) momentum and coordinate. Both coordinate and momentum dependence are elliptic, and the modulus of the momentum torus is a non-trivial function of the coordinate. This model contains as limiting cases the standard Ruijsenaars-Calogero and Toda family of Hamiltonians, which are at most elliptic in the coordinates, but not in the momenta. |
hep-th/0602016 | Walter Goldberger | Yi-Zen Chu, Walter D. Goldberger, and Ira Z. Rothstein | Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the
Newtonian approximation | LaTex, 18 pages. 5 figures | JHEP0603:013,2006 | 10.1088/1126-6708/2006/03/013 | null | hep-th | null | We study the thermodynamics of small black holes in compactified spacetimes
of the form R^(d-1)x S^1. This system is analyzed with the aid of an effective
field theory (EFT) formalism in which the structure of the black hole is
encoded in the coefficients of operators in an effective worldline Lagrangian.
In this effective theory, there is a small parameter $\lambda$ that
characterizes the corrections to the thermodynamics due to both the non-linear
nature of the gravitational action as well as effects arising from the finite
size of the black hole. Using the power counting of the EFT we show that the
series expansion for the thermodynamic variables contains terms that are
analytic in $\lambda$, as well as certain fractional powers that can be
attributed to finite size operators. In particular our operator analysis shows
that existing analytical results do not probe effects coming from horizon
deformation. As an example, we work out the order $\lambda^2$ corrections to
the thermodynamics of small black holes for arbitrary d, generalizing the
results in the literature.
| [
{
"created": "Wed, 1 Feb 2006 20:59:25 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Feb 2006 21:01:20 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Chu",
"Yi-Zen",
""
],
[
"Goldberger",
"Walter D.",
""
],
[
"Rothstein",
"Ira Z.",
""
]
] | We study the thermodynamics of small black holes in compactified spacetimes of the form R^(d-1)x S^1. This system is analyzed with the aid of an effective field theory (EFT) formalism in which the structure of the black hole is encoded in the coefficients of operators in an effective worldline Lagrangian. In this effective theory, there is a small parameter $\lambda$ that characterizes the corrections to the thermodynamics due to both the non-linear nature of the gravitational action as well as effects arising from the finite size of the black hole. Using the power counting of the EFT we show that the series expansion for the thermodynamic variables contains terms that are analytic in $\lambda$, as well as certain fractional powers that can be attributed to finite size operators. In particular our operator analysis shows that existing analytical results do not probe effects coming from horizon deformation. As an example, we work out the order $\lambda^2$ corrections to the thermodynamics of small black holes for arbitrary d, generalizing the results in the literature. |
hep-th/9510103 | Konstadinos Sfetsos | Konstadinos Sfetsos | On T-Duality and Supersymmetry | To appear in the proceedings of the Conference on Gauge Theories,
Applied Supersymmetry and Quantum Gravity, Leuven, 10-14 July 1995 | Leuven Notes in Mathematical and Theoretical Physics, Series B:
Vol. 6, 139-148 | null | THU-95/21 | hep-th | null | The interplay between T-duality and supersymmetry in string theory is
explored. It is shown that T-duality is always compatible with supersymmetry
and simply changes a local realization to a non-local one and vice versa.
Non-local realizations become natural using classical parafermions of the
underlying conformal field theory. Examples presented include hyper-kahler
metrics and the backgrounds for the SU(2) X U(1) and SU(2)/U(1) X U(1) X U(1)
exact conformal field theories.
| [
{
"created": "Mon, 16 Oct 1995 14:22:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sfetsos",
"Konstadinos",
""
]
] | The interplay between T-duality and supersymmetry in string theory is explored. It is shown that T-duality is always compatible with supersymmetry and simply changes a local realization to a non-local one and vice versa. Non-local realizations become natural using classical parafermions of the underlying conformal field theory. Examples presented include hyper-kahler metrics and the backgrounds for the SU(2) X U(1) and SU(2)/U(1) X U(1) X U(1) exact conformal field theories. |
hep-th/0311049 | Haba Zbigniew | Z. Haba (Wroclaw University) | Quantization of the scalar field in a static quantum metric | Latex, 12 pages | J.Phys.A36:11687,2003 | 10.1088/0305-4470/36/46/011 | null | hep-th | null | We investigate the Hamiltonian formulation of quantum scalar fields in a
static quantum metric. We derive a functional integral formula for the
propagator. We show that the quantum metric substantially changes the behaviour
of the scalar propagator and the effective Yukawa potential.
| [
{
"created": "Thu, 6 Nov 2003 11:38:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Haba",
"Z.",
"",
"Wroclaw University"
]
] | We investigate the Hamiltonian formulation of quantum scalar fields in a static quantum metric. We derive a functional integral formula for the propagator. We show that the quantum metric substantially changes the behaviour of the scalar propagator and the effective Yukawa potential. |
hep-th/9312207 | Mikhak | B. Mikhak and A.M. Zarkesh | Manifestly Finite Perturbation Theory for the Short-Distance Expansion
of Correlation Functions in the Two Dimensional Ising Model | 38 pages with 1 figure, UCLA/93/TEP/49 | Nucl.Phys. B430 (1994) 656-682 | 10.1016/0550-3213(94)90164-3 | null | hep-th cond-mat | null | In the spirit of classic works of Wilson on the renormalization group and
operator product expansion, a new framework for the study of the theory space
of euclidean quantum field theories has been introduced. This formalism is
particularly useful for elucidating the structure of the short-distance
expansions of the $n$-point functions of a renormalizable quantum field theory
near a non-trivial fixed point. We review and apply this formalism in the study
of the scaling limit of the two dimensional massive Ising model.
Renormalization group analysis and operator product expansions determine all
the non-analytic mass dependence of the short-distance expansion of the
correlation functions. An extension of the first order variational formula to
higher orders provides a manifestly finite scheme for the perturbative
calculation of the operator product coefficients to any order in parameters. A
perturbative expansion of the correlation functions follows. We implement this
scheme for a systematic study of correlation functions involving two spin
operators. We show how the necessary non-trivial integrals can be calculated.
As two concrete examples we explicitly calculate the short-distance expansion
of the spin-spin correlation function to third order and the spin-spin-energy
density correlation function to first order in the mass. We also discuss the
applicability of our results to perturbations near other non-trivial fixed
points corresponding to other unitary minimal models.
| [
{
"created": "Wed, 29 Dec 1993 21:38:38 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Mikhak",
"B.",
""
],
[
"Zarkesh",
"A. M.",
""
]
] | In the spirit of classic works of Wilson on the renormalization group and operator product expansion, a new framework for the study of the theory space of euclidean quantum field theories has been introduced. This formalism is particularly useful for elucidating the structure of the short-distance expansions of the $n$-point functions of a renormalizable quantum field theory near a non-trivial fixed point. We review and apply this formalism in the study of the scaling limit of the two dimensional massive Ising model. Renormalization group analysis and operator product expansions determine all the non-analytic mass dependence of the short-distance expansion of the correlation functions. An extension of the first order variational formula to higher orders provides a manifestly finite scheme for the perturbative calculation of the operator product coefficients to any order in parameters. A perturbative expansion of the correlation functions follows. We implement this scheme for a systematic study of correlation functions involving two spin operators. We show how the necessary non-trivial integrals can be calculated. As two concrete examples we explicitly calculate the short-distance expansion of the spin-spin correlation function to third order and the spin-spin-energy density correlation function to first order in the mass. We also discuss the applicability of our results to perturbations near other non-trivial fixed points corresponding to other unitary minimal models. |
2111.04268 | Changhyun Ahn | Changhyun Ahn | Toward A Supersymmetric $w_{1+\infty}$ Symmetry in the Celestial
Conformal Field Theory | 24 pages; Some of main texts are moved to the footnotes, some typos
are corrected, the introduction is improved and to appear in PRD | Phys. Rev. D 105, 086028(2022) | 10.1103/PhysRevD.105.086028 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The $w_{1+\infty}$ symmetry algebra appears in the Einstein--Yang--Mills
theory, proposed recently by Strominger. In this paper, we derive the
supersymmetric $w_{1+\infty}$ symmetry by using the known results on the
operator product expansions (OPEs) between the graviton, gravitino, gluon, and
gluino in the supersymmetric version of the above theory. We calculate the four
additional commutator relations between the soft currents explicitly. In
addition, we analyze the works of Odake et al. and Pope et al. and introduce
the additional symmetry current that corresponds to the celestial gluino
operator. Through this procedure, all seven commutator relations can be
connected to the ones associated with the supersymmetric $w_{1+\infty}$ algebra
with $SU(N)$ symmetry under the restrictions of wedge modes.
| [
{
"created": "Mon, 8 Nov 2021 04:21:29 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Apr 2022 12:08:30 GMT",
"version": "v2"
}
] | 2022-08-11 | [
[
"Ahn",
"Changhyun",
""
]
] | The $w_{1+\infty}$ symmetry algebra appears in the Einstein--Yang--Mills theory, proposed recently by Strominger. In this paper, we derive the supersymmetric $w_{1+\infty}$ symmetry by using the known results on the operator product expansions (OPEs) between the graviton, gravitino, gluon, and gluino in the supersymmetric version of the above theory. We calculate the four additional commutator relations between the soft currents explicitly. In addition, we analyze the works of Odake et al. and Pope et al. and introduce the additional symmetry current that corresponds to the celestial gluino operator. Through this procedure, all seven commutator relations can be connected to the ones associated with the supersymmetric $w_{1+\infty}$ algebra with $SU(N)$ symmetry under the restrictions of wedge modes. |
hep-th/0206237 | Mohsen Alishahiha | Mohsen Alishahiha, Masumeh Ghasemkhani | Orbiting Membranes in M-theory on AdS_7 x S^4 Background | 13 pages, latex, v2: a note and refs. added, some typos corrected | JHEP 0208 (2002) 046 | 10.1088/1126-6708/2002/08/046 | null | hep-th | null | We study classical solutions describing rotating and boosted membranes on
AdS_7 x S^4 background in M-theory. We find the dependence of the energy on the
spin and R-charge of these solutions. In the flat space limit we get E ~
S^{2/3}, while for AdS at leading order E-S grows as S^{1/3}. The membranes on
AdS_4 x S^7 background have briefly been studied as well.
| [
{
"created": "Wed, 26 Jun 2002 18:49:13 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2002 17:25:30 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Ghasemkhani",
"Masumeh",
""
]
] | We study classical solutions describing rotating and boosted membranes on AdS_7 x S^4 background in M-theory. We find the dependence of the energy on the spin and R-charge of these solutions. In the flat space limit we get E ~ S^{2/3}, while for AdS at leading order E-S grows as S^{1/3}. The membranes on AdS_4 x S^7 background have briefly been studied as well. |
1708.04319 | Behnam Pourhassan | J. Sadeghi, B. Pourhassan, Z. Nekouee, and M. Shokri | Deformation of the quintom cosmological model and its consequences | 17 pages, 1 figure. References added in the revised version | Int. J. Mod. Phys. D 27, 1850025 (2018) | 10.1142/S0218271818500256 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the effects of non-commutative phase-space on
the quintom cosmological model. In that case, we discuss $\Lambda_{1}$,
$\Lambda_{2}$ and other cosmological parameters and show that they are
associated to deformation parameters $\theta$ and $\beta$. Generally one can
say that, the non-commutative parameter plays important role in physics and
here also help us to arrange the divergency of cosmological constant. We draw
time-dependent scale factor and investigate the effect of non-commutative
parameters. Finally, we take advantage from non-commutative phase-space and
obtain the deformed Lagrangian for the quintom model. In order to discuss some
cosmological phenomena as dark energy and inflation, we employ Neother
symmetry.
| [
{
"created": "Thu, 10 Aug 2017 10:16:31 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Oct 2017 09:07:11 GMT",
"version": "v2"
}
] | 2018-02-22 | [
[
"Sadeghi",
"J.",
""
],
[
"Pourhassan",
"B.",
""
],
[
"Nekouee",
"Z.",
""
],
[
"Shokri",
"M.",
""
]
] | In this paper, we investigate the effects of non-commutative phase-space on the quintom cosmological model. In that case, we discuss $\Lambda_{1}$, $\Lambda_{2}$ and other cosmological parameters and show that they are associated to deformation parameters $\theta$ and $\beta$. Generally one can say that, the non-commutative parameter plays important role in physics and here also help us to arrange the divergency of cosmological constant. We draw time-dependent scale factor and investigate the effect of non-commutative parameters. Finally, we take advantage from non-commutative phase-space and obtain the deformed Lagrangian for the quintom model. In order to discuss some cosmological phenomena as dark energy and inflation, we employ Neother symmetry. |
1402.7047 | Oscar J. C. Dias | Oscar J. C. Dias, Gavin S. Hartnett and Jorge E. Santos | Quasinormal modes of asymptotically flat rotating black holes | 52 pages. 25 figures | null | 10.1088/0264-9381/31/24/245011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the main properties of general linear perturbations of rotating
black holes in asymptotically flat higher-dimensional spacetimes. In
particular, we determine the quasinormal mode (QNM) spectrum of singly spinning
and equal angular momenta Myers-Perry black holes (MP BHs). Emphasis is also
given to the timescale of the ultraspinning and bar-mode instabilities in these
two families of MP BHs. For the bar-mode instabilities in the singly spinning
MP BH, we find excellent agreement with our linear analysis and the non-linear
time evolution of Shibata and Yoshino for d=6,7 spacetime dimensions. We find
that d=5 singly spinning BHs are linearly stable. In the context of studying
general relativity in the large dimension limit, we obtain the QNM spectrum of
Schwarzschild BHs and rotating MP BHs for large dimensions. We identify two
classes of modes. For large dimensions, we find that in the limit of zero
rotation, unstable modes of the MP BHs connect to a class of Schwarzschild QNMs
that saturate to finite values.
| [
{
"created": "Wed, 26 Feb 2014 15:27:22 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Hartnett",
"Gavin S.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | We study the main properties of general linear perturbations of rotating black holes in asymptotically flat higher-dimensional spacetimes. In particular, we determine the quasinormal mode (QNM) spectrum of singly spinning and equal angular momenta Myers-Perry black holes (MP BHs). Emphasis is also given to the timescale of the ultraspinning and bar-mode instabilities in these two families of MP BHs. For the bar-mode instabilities in the singly spinning MP BH, we find excellent agreement with our linear analysis and the non-linear time evolution of Shibata and Yoshino for d=6,7 spacetime dimensions. We find that d=5 singly spinning BHs are linearly stable. In the context of studying general relativity in the large dimension limit, we obtain the QNM spectrum of Schwarzschild BHs and rotating MP BHs for large dimensions. We identify two classes of modes. For large dimensions, we find that in the limit of zero rotation, unstable modes of the MP BHs connect to a class of Schwarzschild QNMs that saturate to finite values. |
1610.07367 | Dietmar Klemm | Dietmar Klemm, Nicol\`o Petri and Marco Rabbiosi | Black string first order flow in N=2, d=5 abelian gauged supergravity | 21 pages, uses jheppub.sty. v2: Minor errors corrected, refs. added.
v3: Minor error corrected in app. B, small discussion of string theory
realization added in final remarks | null | 10.1007/JHEP01(2017)106 | IFUM-1052-FT | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive both BPS and non-BPS first-order flow equations for magnetically
charged black strings in five-dimensional N=2 abelian gauged supergravity,
using the Hamilton-Jacobi formalism. This is first done for the coupling to
vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then
generalized to the case where also hypermultiplets are present, and abelian
symmetries of the quaternionic hyperscalar target space are gauged. We then use
these results to derive the attractor equations for near-horizon geometries of
extremal black strings, and solve them explicitely for the case where the
constants appearing in the Chern-Simons term of the supergravity action satisfy
an adjoint identity. This allows to compute in generality the central charge of
the two-dimensional conformal field theory that describes the black strings in
the infrared, in terms of the magnetic charges, the CY intersection numbers and
the FI constants. Finally, we extend the r-map to gauged supergravity and use
it to relate our flow equations to those in four dimensions.
| [
{
"created": "Mon, 24 Oct 2016 11:33:29 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Nov 2016 09:21:39 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jan 2017 10:41:22 GMT",
"version": "v3"
}
] | 2017-03-08 | [
[
"Klemm",
"Dietmar",
""
],
[
"Petri",
"Nicolò",
""
],
[
"Rabbiosi",
"Marco",
""
]
] | We derive both BPS and non-BPS first-order flow equations for magnetically charged black strings in five-dimensional N=2 abelian gauged supergravity, using the Hamilton-Jacobi formalism. This is first done for the coupling to vector multiplets only and U(1) Fayet-Iliopoulos (FI) gauging, and then generalized to the case where also hypermultiplets are present, and abelian symmetries of the quaternionic hyperscalar target space are gauged. We then use these results to derive the attractor equations for near-horizon geometries of extremal black strings, and solve them explicitely for the case where the constants appearing in the Chern-Simons term of the supergravity action satisfy an adjoint identity. This allows to compute in generality the central charge of the two-dimensional conformal field theory that describes the black strings in the infrared, in terms of the magnetic charges, the CY intersection numbers and the FI constants. Finally, we extend the r-map to gauged supergravity and use it to relate our flow equations to those in four dimensions. |
hep-th/0006236 | Jaume Gomis | Ofer Aharony, Jaume Gomis and Thomas Mehen | On Theories With Light-Like Noncommutativity | 16 pages, harvmac; v2: clarified the relation between the light-like
D4 and M5 theories; references added | JHEP 0009:023,2000 | 10.1088/1126-6708/2000/09/023 | null | hep-th | null | We show that field theories with light-like noncommutativity, that is with
$\theta^{0i}=-\theta^{1i}$, are unitary quantum theories, and that they can be
obtained as decoupled field theory limits of string theory with D-branes in a
background NS-NS $B$ field. For general noncommutativity parameters, we show
that noncommutative field theories which are unitary can be obtained as
decoupled field theory limits of string theory, while those that are not
unitary cannot be obtained from string theory because massive open strings do
not decouple. We study the different theories with light-like noncommutativity
which arise from Type II D-branes. The decoupling limit of the D4-brane seems
to lead to a noncommutative field theory deformation of the $(2,0)$ SCFT of
M5-branes, while the D5-brane case leads to a noncommutative variation of
``little string theories''. We discuss the DLCQ description of these theories.
| [
{
"created": "Thu, 29 Jun 2000 19:22:49 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Aug 2000 23:11:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Aharony",
"Ofer",
""
],
[
"Gomis",
"Jaume",
""
],
[
"Mehen",
"Thomas",
""
]
] | We show that field theories with light-like noncommutativity, that is with $\theta^{0i}=-\theta^{1i}$, are unitary quantum theories, and that they can be obtained as decoupled field theory limits of string theory with D-branes in a background NS-NS $B$ field. For general noncommutativity parameters, we show that noncommutative field theories which are unitary can be obtained as decoupled field theory limits of string theory, while those that are not unitary cannot be obtained from string theory because massive open strings do not decouple. We study the different theories with light-like noncommutativity which arise from Type II D-branes. The decoupling limit of the D4-brane seems to lead to a noncommutative field theory deformation of the $(2,0)$ SCFT of M5-branes, while the D5-brane case leads to a noncommutative variation of ``little string theories''. We discuss the DLCQ description of these theories. |
1008.2576 | Martin B. Halpern | M. B. Halpern | The orbifold-string theories of permutation-type: II. Cycle dynamics and
target space-time dimensions | 32 pages | Int.J.Mod.Phys.A25:5487-5515,2010 | 10.1142/S0217751X10051025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our discussion of the general bosonic prototype of the new
orbifold-string theories of permutation type. Supplementing the extended
physical-state conditions of the previous paper, we construct here the extended
Virasoro generators with cycle central charge
$\hat{c}_j(\sigma)=26f_j(\sigma)$, where $f_j(\sigma)$ is the length of cycle
$j$ in twisted sector $\sigma$. We also find an equivalent, reduced formulation
of each physical-state problem at reduced cycle central charge
$c_j(\sigma)=26$. These tools are used to begin the study of the target
space-time dimension $\hat{D}_j(\sigma)$ of cycle $j$ in sector $\sigma$, which
is naturally defined as the number of zero modes (momenta) of each cycle. The
general model-dependent formulae derived here will be used extensively in
succeeding papers, but are evaluated in this paper only for the simplest case
of the "pure" permutation orbifolds.
| [
{
"created": "Mon, 16 Aug 2010 05:55:50 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jan 2011 06:00:54 GMT",
"version": "v2"
}
] | 2011-01-18 | [
[
"Halpern",
"M. B.",
""
]
] | We continue our discussion of the general bosonic prototype of the new orbifold-string theories of permutation type. Supplementing the extended physical-state conditions of the previous paper, we construct here the extended Virasoro generators with cycle central charge $\hat{c}_j(\sigma)=26f_j(\sigma)$, where $f_j(\sigma)$ is the length of cycle $j$ in twisted sector $\sigma$. We also find an equivalent, reduced formulation of each physical-state problem at reduced cycle central charge $c_j(\sigma)=26$. These tools are used to begin the study of the target space-time dimension $\hat{D}_j(\sigma)$ of cycle $j$ in sector $\sigma$, which is naturally defined as the number of zero modes (momenta) of each cycle. The general model-dependent formulae derived here will be used extensively in succeeding papers, but are evaluated in this paper only for the simplest case of the "pure" permutation orbifolds. |
0909.4559 | Brian Willett | Anton Kapustin, Brian Willett, Itamar Yaakov | Exact Results for Wilson Loops in Superconformal Chern-Simons Theories
with Matter | 32 pages | JHEP 1003:089,2010 | 10.1007/JHEP03(2010)089 | CALT-68-2750 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use localization techniques to compute the expectation values of
supersymmetric Wilson loops in Chern-Simons theories with matter. We find the
path-integral reduces to a non-Gaussian matrix model. The Wilson loops we
consider preserve a single complex supersymmetry, and exist in any N=2 theory,
though the localization requires superconformal symmetry. We present explicit
results for the cases of pure Chern-Simons theory with gauge group U(N),
showing agreement with the known results, and ABJM, showing agreement with
perturbative calculations. Our method applies to other theories, such as
Gaiotto-Witten theories, BLG, and their variants.
| [
{
"created": "Thu, 24 Sep 2009 21:33:30 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Nov 2009 22:37:09 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Feb 2010 18:34:49 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Dec 2010 21:32:28 GMT",
"version": "v4"
}
] | 2010-12-21 | [
[
"Kapustin",
"Anton",
""
],
[
"Willett",
"Brian",
""
],
[
"Yaakov",
"Itamar",
""
]
] | We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any N=2 theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure Chern-Simons theory with gauge group U(N), showing agreement with the known results, and ABJM, showing agreement with perturbative calculations. Our method applies to other theories, such as Gaiotto-Witten theories, BLG, and their variants. |
1206.0678 | Hyun Seok Yang | Sunggeun Lee, Raju Roychowdhury and Hyun Seok Yang | Notes on Emergent Gravity | v3; 29 pages, minor clarifications for locally conformal symplectic
structure and the origin of diffeomorphism, version to appear in JHEP | JHEP 1209 (2012) 030 | 10.1007/JHEP09(2012)030 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Emergent gravity is aimed at constructing a Riemannian geometry from U(1)
gauge fields on a noncommutative spacetime. But this construction can be
inverted to find corresponding U(1) gauge fields on a (generalized) Poisson
manifold given a Riemannian metric (M, g). We examine this bottom-up approach
with the LeBrun metric which is the most general scalar-flat Kahler metric with
a U(1) isometry and contains the Gibbons-Hawking metric, the real heaven as
well as the multi-blown up Burns metric which is a scalar-flat Kahler metric on
C^2 with n points blown up. The bottom-up approach clarifies some important
issues in emergent gravity.
| [
{
"created": "Mon, 4 Jun 2012 17:02:32 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jun 2012 00:20:58 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Sep 2012 14:14:41 GMT",
"version": "v3"
}
] | 2012-09-25 | [
[
"Lee",
"Sunggeun",
""
],
[
"Roychowdhury",
"Raju",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | Emergent gravity is aimed at constructing a Riemannian geometry from U(1) gauge fields on a noncommutative spacetime. But this construction can be inverted to find corresponding U(1) gauge fields on a (generalized) Poisson manifold given a Riemannian metric (M, g). We examine this bottom-up approach with the LeBrun metric which is the most general scalar-flat Kahler metric with a U(1) isometry and contains the Gibbons-Hawking metric, the real heaven as well as the multi-blown up Burns metric which is a scalar-flat Kahler metric on C^2 with n points blown up. The bottom-up approach clarifies some important issues in emergent gravity. |
0706.0976 | Gabriele Travaglini | Adele Nasti, Gabriele Travaglini | One-loop N=8 Supergravity Amplitudes from MHV Diagrams | 33 pages, 10 figures | Class.Quant.Grav.24:6071-6096,2007 | 10.1088/0264-9381/24/23/024 | QMUL-PH-07-10 | hep-th | null | We discuss the calculation of one-loop amplitudes in N=8 supergravity using
MHV diagrams. In contrast to MHV amplitudes of gluons in Yang-Mills, tree-level
MHV amplitudes of gravitons are not holomorphic in the spinor variables. In
order to extend these amplitudes off shell, and use them as vertices to build
loops, we introduce certain shifts for the spinor variables associated to the
loop momenta. Using this off-shell prescription, we rederive the four-point MHV
amplitude of gravitons at one loop, in complete agreement with known results.
We also discuss the extension to the case of one-loop MHV amplitudes with an
arbitrary number of gravitons.
| [
{
"created": "Thu, 7 Jun 2007 09:40:01 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nasti",
"Adele",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | We discuss the calculation of one-loop amplitudes in N=8 supergravity using MHV diagrams. In contrast to MHV amplitudes of gluons in Yang-Mills, tree-level MHV amplitudes of gravitons are not holomorphic in the spinor variables. In order to extend these amplitudes off shell, and use them as vertices to build loops, we introduce certain shifts for the spinor variables associated to the loop momenta. Using this off-shell prescription, we rederive the four-point MHV amplitude of gravitons at one loop, in complete agreement with known results. We also discuss the extension to the case of one-loop MHV amplitudes with an arbitrary number of gravitons. |
hep-th/0102045 | Valentin Khoze | Timothy J. Hollowood, Valentin V. Khoze and Gabriele Travaglini | Exact Results in Noncommutative ${\cal N}=2$ Supersymmetric Gauge
Theories | typos corrected | JHEP 0105:051,2001 | 10.1088/1126-6708/2001/05/051 | null | hep-th | null | We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N)
Yang-Mills theories in the Coulomb phase. Exact results are derived for the
leading terms in the derivative expansion of the Wilsonian effective action. We
find that in the infrared regime the U(1) subgroup decouples, and the remaining
SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV
mixing is present in the U(1), but not in SU(N). Our analysis is based on
explicit perturbative and multi-instanton calculations.
| [
{
"created": "Thu, 8 Feb 2001 23:03:40 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Feb 2001 17:59:27 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Khoze",
"Valentin V.",
""
],
[
"Travaglini",
"Gabriele",
""
]
] | We study the low-energy dynamics of noncommutative $\N=2$ supersymmetric U(N) Yang-Mills theories in the Coulomb phase. Exact results are derived for the leading terms in the derivative expansion of the Wilsonian effective action. We find that in the infrared regime the U(1) subgroup decouples, and the remaining SU(N) is described by the ordinary commutative Seiberg-Witten solution. IR/UV mixing is present in the U(1), but not in SU(N). Our analysis is based on explicit perturbative and multi-instanton calculations. |
hep-th/0005281 | Michael Martin Nieto | Michael Martin Nieto | A Simple Volcano Potential with an Analytic, Zero-Energy, Ground State | 8 pages, 3 figures | Phys.Lett. B486 (2000) 414-417 | 10.1016/S0370-2693(00)00787-5 | LA-UR-00-2368 | hep-th quant-ph | null | We describe a simple volcano potential, which is supersymmetric and has an
analytic, zero-energy, ground state. (The KK modes are also analytic.) It is an
interior harmonic oscillator potential properly matched to an exterior angular
momentum-like tail. Special cases are given to elucidate the physics, which may
be intuitively useful in studies of higher-dimensional gravity.
| [
{
"created": "Tue, 30 May 2000 16:53:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Nieto",
"Michael Martin",
""
]
] | We describe a simple volcano potential, which is supersymmetric and has an analytic, zero-energy, ground state. (The KK modes are also analytic.) It is an interior harmonic oscillator potential properly matched to an exterior angular momentum-like tail. Special cases are given to elucidate the physics, which may be intuitively useful in studies of higher-dimensional gravity. |
0911.4787 | Shoichi Kanno | Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba, and Yuji Tachikawa | N=2 gauge theories and degenerate fields of Toda theory | 23 pages,v2: minor corrections,published version | Phys.Rev.D81:046004,2010 | 10.1103/PhysRevD.81.046004 | UT-09-25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the correspondence between degenerate fields of the W_N algebra
and punctures of Gaiotto's description of the Seiberg-Witten curve of N=2
superconformal gauge theories. Namely, we find that the type of degenerate
fields of the W_N algebra, with null states at level one, is classified by
Young diagrams with N boxes, and that the singular behavior of the
Seiberg-Witten curve near the puncture agrees with that of W_N generators. We
also find how to translate mass parameters of the gauge theory to the momenta
of the Toda theory.
| [
{
"created": "Wed, 25 Nov 2009 09:42:50 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2010 06:44:07 GMT",
"version": "v2"
}
] | 2010-04-27 | [
[
"Kanno",
"Shoichi",
""
],
[
"Matsuo",
"Yutaka",
""
],
[
"Shiba",
"Shotaro",
""
],
[
"Tachikawa",
"Yuji",
""
]
] | We discuss the correspondence between degenerate fields of the W_N algebra and punctures of Gaiotto's description of the Seiberg-Witten curve of N=2 superconformal gauge theories. Namely, we find that the type of degenerate fields of the W_N algebra, with null states at level one, is classified by Young diagrams with N boxes, and that the singular behavior of the Seiberg-Witten curve near the puncture agrees with that of W_N generators. We also find how to translate mass parameters of the gauge theory to the momenta of the Toda theory. |
1908.08089 | Hamid Reza Afshar | Hamid R. Afshar | Warped Schwarzian theory | 20 pages, v2 typos corrected refs added, v3 added a new section on
thermodynamics in comparison to the complex SYK | null | 10.1007/JHEP02(2020)126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the (twisted) warped Virasoro group Diff($S^1$)$\ltimes$
C$^\infty$($S^1$) in the presence of its three cocycles. We compute the
Kirillov-Kostant-Souriau symplectic 2-form on coadjoint orbits. We then
construct the Euclidean action of the `warped Schwarzian theory' associated to
the orbit with SL(2,$\mathbb{R}$)$\times$U(1) stabilizer as the effective
theory of the reparametrization over the base circle and evaluate the
corresponding one-loop-exact path integral. We further discuss thermodynamics
of the wSch theory in comparison with the complex SYK model.
| [
{
"created": "Wed, 21 Aug 2019 19:17:22 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Aug 2019 10:12:13 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Dec 2019 18:08:30 GMT",
"version": "v3"
}
] | 2020-03-18 | [
[
"Afshar",
"Hamid R.",
""
]
] | We consider the (twisted) warped Virasoro group Diff($S^1$)$\ltimes$ C$^\infty$($S^1$) in the presence of its three cocycles. We compute the Kirillov-Kostant-Souriau symplectic 2-form on coadjoint orbits. We then construct the Euclidean action of the `warped Schwarzian theory' associated to the orbit with SL(2,$\mathbb{R}$)$\times$U(1) stabilizer as the effective theory of the reparametrization over the base circle and evaluate the corresponding one-loop-exact path integral. We further discuss thermodynamics of the wSch theory in comparison with the complex SYK model. |
1007.4944 | Evgeny Skvortsov D | E.D. Skvortsov and Yu.M. Zinoviev | Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski
space. Fermions | 12 pages; a few misprints corrected | Nucl.Phys.B843:559-569,2011 | 10.1016/j.nuclphysb.2010.10.012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A frame-like action for massless mixed-symmetry fermionic fields in Minkowski
space is constructed. The action is uniquely determined by gauge invariance.
| [
{
"created": "Wed, 28 Jul 2010 12:22:40 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Oct 2010 11:19:31 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Dec 2010 15:43:30 GMT",
"version": "v3"
}
] | 2010-12-17 | [
[
"Skvortsov",
"E. D.",
""
],
[
"Zinoviev",
"Yu. M.",
""
]
] | A frame-like action for massless mixed-symmetry fermionic fields in Minkowski space is constructed. The action is uniquely determined by gauge invariance. |
1609.06609 | Vinay Malvimat | Pankaj Chaturvedi, Vinay Malvimat and Gautam Sengupta | Holographic Quantum Entanglement Negativity | 16 pages and 1 figure, published in JHEP. This is a shorter version
of arXiv:1602.01147 detailing the $AdS_3/CFT_2$ example | null | 10.1007/JHEP05(2018)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We advance a holographic conjecture for the entanglement negativity of
bipartite quantum states in $(1+1)$-dimensional conformal field theories in the
$AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica
technique results in the large central charge limit, for both the pure state
described by the $CFT_{1+1}$ vacuum dual to bulk the pure $AdS_3$ geometry and
the finite temperature mixed state dual to a Euclidean BTZ black hole
respectively. The holographic entanglement negativity characterizes the
distillable entanglement and reduces to a specific sum of holographic mutual
informations. We briefly allude to a possible higher dimensional generalization
of our conjecture in a generic $AdS_{d+1}/CFT_{d}$ scenario.
| [
{
"created": "Wed, 21 Sep 2016 15:51:40 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2016 14:21:51 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Nov 2017 17:16:07 GMT",
"version": "v3"
},
{
"created": "Sat, 17 Feb 2018 07:36:48 GMT",
"version": "v4"
},
{
"created": "Tue, 5 Jun 2018 07:47:56 GMT",
"version": "v5"
}
] | 2018-06-06 | [
[
"Chaturvedi",
"Pankaj",
""
],
[
"Malvimat",
"Vinay",
""
],
[
"Sengupta",
"Gautam",
""
]
] | We advance a holographic conjecture for the entanglement negativity of bipartite quantum states in $(1+1)$-dimensional conformal field theories in the $AdS_3/CFT_2$ framework. Our conjecture exactly reproduces the replica technique results in the large central charge limit, for both the pure state described by the $CFT_{1+1}$ vacuum dual to bulk the pure $AdS_3$ geometry and the finite temperature mixed state dual to a Euclidean BTZ black hole respectively. The holographic entanglement negativity characterizes the distillable entanglement and reduces to a specific sum of holographic mutual informations. We briefly allude to a possible higher dimensional generalization of our conjecture in a generic $AdS_{d+1}/CFT_{d}$ scenario. |
1201.3368 | Nikitas Stamatopoulos | Nikitas Stamatopoulos | Three Dimensional Lattice Dispersion Relations for Finite Difference
Methods in Scalar Field Simulations | 10 pages, 7 pdf figures, uses RevTex4 | null | null | null | hep-th astro-ph.CO physics.comp-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the lattice dispersion relation for three dimensional
simulations of scalar fields. We argue that the mode frequency of scalar fields
on the lattice should not be treated as a function of the magnitude of its
wavevector but rather of its wavevector decomposition in Fourier space.
Furthermore, we calculate how the lattice dispersion relation differs depending
on the way that spatial derivatives are discretized when using finite
difference methods in configuration space. For applications that require the
mode frequency as an average function of the magnitude of the wavevector, we
show how to calculate the radially averaged lattice dispersion relation.
Finally, we use the publicly available framework LATTICEEASY to show that wrong
treatment of dispersion relations in simulations of preheating leads to an
inaccurate description of parametric resonance, which results in incorrect
calculations of particle number densities during thermalization after
inflation.
| [
{
"created": "Mon, 16 Jan 2012 21:01:05 GMT",
"version": "v1"
}
] | 2012-01-18 | [
[
"Stamatopoulos",
"Nikitas",
""
]
] | We calculate the lattice dispersion relation for three dimensional simulations of scalar fields. We argue that the mode frequency of scalar fields on the lattice should not be treated as a function of the magnitude of its wavevector but rather of its wavevector decomposition in Fourier space. Furthermore, we calculate how the lattice dispersion relation differs depending on the way that spatial derivatives are discretized when using finite difference methods in configuration space. For applications that require the mode frequency as an average function of the magnitude of the wavevector, we show how to calculate the radially averaged lattice dispersion relation. Finally, we use the publicly available framework LATTICEEASY to show that wrong treatment of dispersion relations in simulations of preheating leads to an inaccurate description of parametric resonance, which results in incorrect calculations of particle number densities during thermalization after inflation. |
1703.01833 | Carles Batlle | Carles Batlle and Victor Campello and Joaquim Gomis | Canonical Realization of (2+1)-dimensional Bondi-Metzner-Sachs symmetry | Version accepted for publication in PRD. Expanded title and expanded
discussion about superrotations in the massive case | Phys. Rev. D 96, 025004 (2017) | 10.1103/PhysRevD.96.025004 | ICCUB 16-041, UTTG-25-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct canonical realizations of the $\mathfrak{bms}_3$ algebra as
symmetry algebras of a free Klein-Gordon (KG) field in $2+1$ dimensions, for
both the massive and massless case. We consider two types of realizations, one
on-shell, written in terms of the Fourier modes of the scalar field, and the
other one off-shell with non-local transformations written in terms of the KG
field and its momenta. These realizations contain both supertranslations and
superrotations, for which we construct the corresponding Noether charges.
| [
{
"created": "Mon, 6 Mar 2017 12:16:30 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Mar 2017 12:01:49 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jun 2017 09:30:47 GMT",
"version": "v3"
}
] | 2017-07-19 | [
[
"Batlle",
"Carles",
""
],
[
"Campello",
"Victor",
""
],
[
"Gomis",
"Joaquim",
""
]
] | We construct canonical realizations of the $\mathfrak{bms}_3$ algebra as symmetry algebras of a free Klein-Gordon (KG) field in $2+1$ dimensions, for both the massive and massless case. We consider two types of realizations, one on-shell, written in terms of the Fourier modes of the scalar field, and the other one off-shell with non-local transformations written in terms of the KG field and its momenta. These realizations contain both supertranslations and superrotations, for which we construct the corresponding Noether charges. |
2203.01766 | Parinya Karndumri | Parinya Karndumri | Holographic RG flows and symplectic deformations of N=4 gauged
supergravity | 36 pages, 6 figures, typos corrected, references added | Phys. Rev. D105 (2022) 086009 | 10.1103/PhysRevD.105.086009 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study four-dimensional $N=4$ gauged supergravity with $SO(4)\times
SO(4)\sim SO(3)\times SO(3)\times SO(3)\times SO(3)$ gauge group in the
presence of symplectic deformations. There are in general four
electric-magnetic phases corresponding to each $SO(3)$ factor, but two phases
of the $SO(3)$ factors embedded in the $SO(6)$ R-symmetry are fixed. One phase
can be set to zero by $SL(2,\mathbb{R})$ transformations. The second one gives
equivalent theories for any non-vanishing values and can be set to
$\frac{\pi}{2}$ resulting in gauged supergravities that admit $N=4$
supersymmetric $AdS_4$ vacua. The remaining two phases are truely deformation
parameters leading to different $SO(4)\times SO(4)$ gauged supergravities. As
in the $\omega$-deformed $SO(8)$ maximal gauged supergravity, the cosmological
constant and scalar masses of the $AdS_4$ vacuum at the origin of the scalar
manifold with $SO(4)\times SO(4)$ symmetry do not depend on the
electric-magnetic phases. We find $N=1$ holographic RG flow solutions between
$N=4$ critical points with $SO(4)\times SO(4)$ and $SO(3)_{\textrm{diag}}\times
SO(3)\times SO(3)$ or $SO(3)\times SO(3)_{\textrm{diag}}\times SO(3)$
symmetries. We also give $N=2$ and $N=1$ RG flows from these critical points to
various non-conformal phases. However, contrary to the $\omega$-deformed
$SO(8)$ gauged supergravity, there exist non-trivial supersymmetric $AdS_4$
critical points only for particular values of the deformation parameters within
the scalar sectors under consideration.
| [
{
"created": "Thu, 3 Mar 2022 15:25:32 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2022 17:00:08 GMT",
"version": "v2"
}
] | 2022-05-09 | [
[
"Karndumri",
"Parinya",
""
]
] | We study four-dimensional $N=4$ gauged supergravity with $SO(4)\times SO(4)\sim SO(3)\times SO(3)\times SO(3)\times SO(3)$ gauge group in the presence of symplectic deformations. There are in general four electric-magnetic phases corresponding to each $SO(3)$ factor, but two phases of the $SO(3)$ factors embedded in the $SO(6)$ R-symmetry are fixed. One phase can be set to zero by $SL(2,\mathbb{R})$ transformations. The second one gives equivalent theories for any non-vanishing values and can be set to $\frac{\pi}{2}$ resulting in gauged supergravities that admit $N=4$ supersymmetric $AdS_4$ vacua. The remaining two phases are truely deformation parameters leading to different $SO(4)\times SO(4)$ gauged supergravities. As in the $\omega$-deformed $SO(8)$ maximal gauged supergravity, the cosmological constant and scalar masses of the $AdS_4$ vacuum at the origin of the scalar manifold with $SO(4)\times SO(4)$ symmetry do not depend on the electric-magnetic phases. We find $N=1$ holographic RG flow solutions between $N=4$ critical points with $SO(4)\times SO(4)$ and $SO(3)_{\textrm{diag}}\times SO(3)\times SO(3)$ or $SO(3)\times SO(3)_{\textrm{diag}}\times SO(3)$ symmetries. We also give $N=2$ and $N=1$ RG flows from these critical points to various non-conformal phases. However, contrary to the $\omega$-deformed $SO(8)$ gauged supergravity, there exist non-trivial supersymmetric $AdS_4$ critical points only for particular values of the deformation parameters within the scalar sectors under consideration. |
hep-th/9811014 | Anton Galajinsky | A.V. Galajinsky (ITP, Univ. Hannover), D.M. Gitman (IF, Univ. Sao
Paulo) | On minimal coupling of the ABC-superparticle to supergravity background | 8 pages RevTex file, to appear in Phys. Rev. D | Phys.Rev. D59 (1999) 047504 | 10.1103/PhysRevD.59.047504 | null | hep-th | null | By rigorous application of the Hamiltonian methods we show that the
ABC-formulation of the Siegel superparticle admits consistent minimal coupling
to external supergravity. The consistency check proves to involve all the
supergravity constraints.
| [
{
"created": "Mon, 2 Nov 1998 16:01:16 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Galajinsky",
"A. V.",
"",
"ITP, Univ. Hannover"
],
[
"Gitman",
"D. M.",
"",
"IF, Univ. Sao\n Paulo"
]
] | By rigorous application of the Hamiltonian methods we show that the ABC-formulation of the Siegel superparticle admits consistent minimal coupling to external supergravity. The consistency check proves to involve all the supergravity constraints. |
1803.01352 | Yuko Urakawa | Shun Arai, Sergey Sibiryakov, and Yuko Urakawa | Inflationary perturbations with Lifshitz scaling | 30 pages, 2 figures | null | 10.1088/1475-7516/2019/03/034 | CERN-TH-2018-040, INR-TH-2018-001 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Instead of Lorentz invariance, gravitational degrees of freedom may obey
Lifshitz scaling at high energies, as it happens in Ho\v{r}ava's proposal for
quantum gravity. We study consequences of this proposal for the spectra of
primordial perturbations generated at inflation. Breaking of 4D diffeomorphism
(Diff) invariance down to the foliation-preserving Diff in Ho\v{r}ava-Lifshitz
(HL) gravity leads to appearance of a scalar degree of freedom in the gravity
sector, khronon, which describes dynamics of the time foliation. One can
naively expect that mixing between inflaton and khronon will jeopardize
conservation of adiabatic perturbations at super Hubble scales. This indeed
happens in the projectable version of the theory. By contrast, we find that in
the non-projectable version of HL gravity, khronon acquires an effective mass
which is much larger than the Hubble scale well before the Hubble crossing time
and decouples from the adiabatic curvature perturbation $\zeta$ sourced by the
inflaton fluctuations. As a result, at super Hubble scales the adiabatic
perturbation $\zeta$ behaves as in an effectively single field system and its
spectrum is conserved in time. Lifshitz scaling is imprinted in the power
spectrum of $\zeta$ through the modified dispersion relation of the inflaton.
We point out violation of the consistency relation between the tensor-to-scalar
ratio and the spectral tilt of primordial gravitational waves and suggest that
it can provide a signal of Lorentz violation in inflationary era.
| [
{
"created": "Sun, 4 Mar 2018 13:20:53 GMT",
"version": "v1"
}
] | 2019-04-03 | [
[
"Arai",
"Shun",
""
],
[
"Sibiryakov",
"Sergey",
""
],
[
"Urakawa",
"Yuko",
""
]
] | Instead of Lorentz invariance, gravitational degrees of freedom may obey Lifshitz scaling at high energies, as it happens in Ho\v{r}ava's proposal for quantum gravity. We study consequences of this proposal for the spectra of primordial perturbations generated at inflation. Breaking of 4D diffeomorphism (Diff) invariance down to the foliation-preserving Diff in Ho\v{r}ava-Lifshitz (HL) gravity leads to appearance of a scalar degree of freedom in the gravity sector, khronon, which describes dynamics of the time foliation. One can naively expect that mixing between inflaton and khronon will jeopardize conservation of adiabatic perturbations at super Hubble scales. This indeed happens in the projectable version of the theory. By contrast, we find that in the non-projectable version of HL gravity, khronon acquires an effective mass which is much larger than the Hubble scale well before the Hubble crossing time and decouples from the adiabatic curvature perturbation $\zeta$ sourced by the inflaton fluctuations. As a result, at super Hubble scales the adiabatic perturbation $\zeta$ behaves as in an effectively single field system and its spectrum is conserved in time. Lifshitz scaling is imprinted in the power spectrum of $\zeta$ through the modified dispersion relation of the inflaton. We point out violation of the consistency relation between the tensor-to-scalar ratio and the spectral tilt of primordial gravitational waves and suggest that it can provide a signal of Lorentz violation in inflationary era. |
1609.00991 | Charlotte Sleight | Charlotte Sleight, Massimo Taronna | Higher-Spin Algebras, Holography and Flat Space | 39 pages, 1 figure. v3: JHEP version | null | 10.1007/JHEP02(2017)095 | MPP-2016-274 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we study the algebra generated by the holographically
reconstructed cubic couplings for the type A minimal bosonic higher-spin theory
on AdS$_{d+1}$, which were recently extracted from the free scalar $O(N)$
model. We demonstrate that it is equal to the unique higher-spin algebra for
bosonic totally symmetric higher-spin fields in generic dimensions. This
provides an explicit check of the holographic reconstruction and of the duality
between higher-spin theories and the free $O(N)$ model in general dimensions,
extending the result of Giombi and Yin in AdS$_4$. For completeness, we also
address the same problem in the flat space for the cubic couplings derived by
Metsaev in 1991, which are recovered in the flat limit of the AdS type-A cubic
couplings. We observe that both flat and AdS$_4$ higher-spin Lorentz
subalgebras coincide, hinting towards the existence of a full higher-spin
symmetry behind the flat-space cubic couplings of Metsaev.
| [
{
"created": "Sun, 4 Sep 2016 21:13:33 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Oct 2016 08:46:48 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Feb 2017 16:02:56 GMT",
"version": "v3"
}
] | 2017-03-08 | [
[
"Sleight",
"Charlotte",
""
],
[
"Taronna",
"Massimo",
""
]
] | In this article we study the algebra generated by the holographically reconstructed cubic couplings for the type A minimal bosonic higher-spin theory on AdS$_{d+1}$, which were recently extracted from the free scalar $O(N)$ model. We demonstrate that it is equal to the unique higher-spin algebra for bosonic totally symmetric higher-spin fields in generic dimensions. This provides an explicit check of the holographic reconstruction and of the duality between higher-spin theories and the free $O(N)$ model in general dimensions, extending the result of Giombi and Yin in AdS$_4$. For completeness, we also address the same problem in the flat space for the cubic couplings derived by Metsaev in 1991, which are recovered in the flat limit of the AdS type-A cubic couplings. We observe that both flat and AdS$_4$ higher-spin Lorentz subalgebras coincide, hinting towards the existence of a full higher-spin symmetry behind the flat-space cubic couplings of Metsaev. |
1210.0578 | Miguel Paulos | Miguel F. Paulos | Loops, Polytopes and Splines | 34 pages. Typos corrected, added references | null | 10.1007/JHEP06(2013)007 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover an unexpected connection between the physics of loop integrals and
the mathematics of spline functions. One loop integrands are Laplace transforms
of splines. This clarifies the geometry of the associated loop integrals, since
a $n$-node spline has support on an $n$-vertex polyhedral cone. One-loop
integrals are integrals of splines on a hyperbolic slice of the cone, yielding
polytopes in $AdS$ space. Splines thus give a geometrical counterpart to the
rational function identities at the level of the integrand. Spline technology
also allows for a clear, simple, algebraic decomposition of higher point loop
integrals in lower dimensional kinematics in terms of lower point integrals -
e.g. an hexagon integral in 2d kinematics can be written as a sum of scalar
boxes. Higher loops can also be understood directly in terms of splines - they
map onto spline convolutions, leading to an intriguing representation in terms
of hyperbolic simplices integrated over other hyperbolic simplices. We finish
with speculations on the interpretation of one-loop integrals as partition
functions, inspired by the use of splines in counting points in polytopes.
| [
{
"created": "Mon, 1 Oct 2012 21:07:51 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2012 22:11:02 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Apr 2013 20:04:13 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Paulos",
"Miguel F.",
""
]
] | We uncover an unexpected connection between the physics of loop integrals and the mathematics of spline functions. One loop integrands are Laplace transforms of splines. This clarifies the geometry of the associated loop integrals, since a $n$-node spline has support on an $n$-vertex polyhedral cone. One-loop integrals are integrals of splines on a hyperbolic slice of the cone, yielding polytopes in $AdS$ space. Splines thus give a geometrical counterpart to the rational function identities at the level of the integrand. Spline technology also allows for a clear, simple, algebraic decomposition of higher point loop integrals in lower dimensional kinematics in terms of lower point integrals - e.g. an hexagon integral in 2d kinematics can be written as a sum of scalar boxes. Higher loops can also be understood directly in terms of splines - they map onto spline convolutions, leading to an intriguing representation in terms of hyperbolic simplices integrated over other hyperbolic simplices. We finish with speculations on the interpretation of one-loop integrals as partition functions, inspired by the use of splines in counting points in polytopes. |
hep-th/9310069 | Cumrun Vafa | Cumrun Vafa | Strings and Singularities | 12 pages, 3 figures | null | null | null | hep-th | null | We review aspects of spacetime singularities from the view point of string
theory. Examples considered include cosmological, cosmic string and black-hole
singularities. We also discuss the consistency of viewing black-holes as
excited states of fundamental strings (based on talk presented at Salamfest,
March 1993, Trieste).
| [
{
"created": "Wed, 13 Oct 1993 14:39:14 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Vafa",
"Cumrun",
""
]
] | We review aspects of spacetime singularities from the view point of string theory. Examples considered include cosmological, cosmic string and black-hole singularities. We also discuss the consistency of viewing black-holes as excited states of fundamental strings (based on talk presented at Salamfest, March 1993, Trieste). |
hep-th/0203139 | Peter Bowcock | P.Bowcock, G.Tzamtzis | The complex sine-Gordon model on a half line | 32 pages, latex, 5 figures | JHEP 0703:047,2007 | 10.1088/1126-6708/2007/03/047 | DCPT 02/21 | hep-th | null | In this paper, we examine the complex sine-Gordon model in the presence of a
boundary, and derive boundary conditions that preserve integrability. We
present soliton and breather solutions, investigate the scattering of particles
and solitons off the boundary and examine the existence of classical solutions
corresponding to boundary bound states.
| [
{
"created": "Thu, 14 Mar 2002 23:05:46 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Bowcock",
"P.",
""
],
[
"Tzamtzis",
"G.",
""
]
] | In this paper, we examine the complex sine-Gordon model in the presence of a boundary, and derive boundary conditions that preserve integrability. We present soliton and breather solutions, investigate the scattering of particles and solitons off the boundary and examine the existence of classical solutions corresponding to boundary bound states. |
1902.07218 | Benson Way | Paul M. Chesler and Benson Way | Holographic Signatures of Critical Collapse | 5 pages, 7 figures, published version | Phys. Rev. Lett. 122, 231101 (2019) | 10.1103/PhysRevLett.122.231101 | null | hep-th gr-qc nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Critical phenomena in gravitational collapse exhibit the universal features
of self-similarity, critical scaling, and the appearance of a naked
singularity. We study critical collapse in AdS, focusing on holographic field
theory observables. We demonstrate that the echoing period, critical exponent,
and signatures of the naked singularity can all be extracted from the
holographic stress tensor.
| [
{
"created": "Tue, 19 Feb 2019 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Jul 2019 20:00:35 GMT",
"version": "v2"
}
] | 2019-07-12 | [
[
"Chesler",
"Paul M.",
""
],
[
"Way",
"Benson",
""
]
] | Critical phenomena in gravitational collapse exhibit the universal features of self-similarity, critical scaling, and the appearance of a naked singularity. We study critical collapse in AdS, focusing on holographic field theory observables. We demonstrate that the echoing period, critical exponent, and signatures of the naked singularity can all be extracted from the holographic stress tensor. |
1104.5022 | Subir Sachdev | Liza Huijse, Subir Sachdev | Fermi surfaces and gauge-gravity duality | 40 pages, 13 figures; (v2) more complete phase diagrams | Phys.Rev.D84:026001,2011 | 10.1103/PhysRevD.84.026001 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a unified overview of the zero temperature phases of compressible
quantum matter: i.e. phases in which the expectation value of a globally
conserved U(1) density, Q, varies smoothly as a function of parameters.
Provided the global U(1) and translational symmetries are unbroken, such phases
are expected to have Fermi surfaces, and the Luttinger theorem relates the
volumes enclosed by these Fermi surfaces to <Q>. We survey models of
interacting bosons and/or fermions and/or gauge fields which realize such
phases. Some phases have Fermi surfaces with the singularities of Landau's
Fermi liquid theory, while other Fermi surfaces have non-Fermi liquid
singularities. Compressible phases found in models applicable to condensed
matter systems are argued to also be present in models obtained by applying
chemical potentials (and other deformations allowed by the residual symmetry at
non-zero chemical potential) to the paradigmic supersymmetric gauge theories
underlying gauge-gravity duality: the ABJM model in spatial dimension d=2, and
the N=4 SYM theory in d=3.
| [
{
"created": "Tue, 26 Apr 2011 20:00:10 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 2011 19:21:57 GMT",
"version": "v2"
}
] | 2011-07-08 | [
[
"Huijse",
"Liza",
""
],
[
"Sachdev",
"Subir",
""
]
] | We give a unified overview of the zero temperature phases of compressible quantum matter: i.e. phases in which the expectation value of a globally conserved U(1) density, Q, varies smoothly as a function of parameters. Provided the global U(1) and translational symmetries are unbroken, such phases are expected to have Fermi surfaces, and the Luttinger theorem relates the volumes enclosed by these Fermi surfaces to <Q>. We survey models of interacting bosons and/or fermions and/or gauge fields which realize such phases. Some phases have Fermi surfaces with the singularities of Landau's Fermi liquid theory, while other Fermi surfaces have non-Fermi liquid singularities. Compressible phases found in models applicable to condensed matter systems are argued to also be present in models obtained by applying chemical potentials (and other deformations allowed by the residual symmetry at non-zero chemical potential) to the paradigmic supersymmetric gauge theories underlying gauge-gravity duality: the ABJM model in spatial dimension d=2, and the N=4 SYM theory in d=3. |
1311.1598 | Kazuo Ghoroku | Kazuo Ghoroku, Kouki Kubo, Motoi Tachibana, and Fumihiko Toyoda | Holographic cold nuclear matter and neutron star | 11 pages, 4 figures | null | 10.1142/S0217751X14500602 | FIT HE - 12-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have previously found a new phase of cold nuclear matter based on a
holographic gauge theory, where baryons are introduced as instanton gas in the
probe D8/$\overline{\rm D8}$ branes. In our model, we could obtain the equation
of state (EOS) of our nuclear matter by introducing fermi momentum. Then, here
we apply this model to the neutron star and study its mass and radius by
solving the Tolman-Oppenheimer-Volkoff (TOV) equations in terms of the EOS
given here. We give some comments for our holographic model from a viewpoint of
the other field theoretical approaches.
| [
{
"created": "Thu, 7 Nov 2013 08:22:43 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Feb 2014 09:11:29 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Kubo",
"Kouki",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] | We have previously found a new phase of cold nuclear matter based on a holographic gauge theory, where baryons are introduced as instanton gas in the probe D8/$\overline{\rm D8}$ branes. In our model, we could obtain the equation of state (EOS) of our nuclear matter by introducing fermi momentum. Then, here we apply this model to the neutron star and study its mass and radius by solving the Tolman-Oppenheimer-Volkoff (TOV) equations in terms of the EOS given here. We give some comments for our holographic model from a viewpoint of the other field theoretical approaches. |
hep-th/0511091 | Daniel Nogradi | Daniel Nogradi | M2-branes stretching between M5-branes | 11 pages, typos corrected, references added | JHEP0601:010,2006 | 10.1088/1126-6708/2006/01/010 | null | hep-th | null | A generalization of Nahm's equation has been recently conjectured by Basu and
Harvey to be the BPS condition describing the bound state of a stack of
M2-branes ending on an M5-brane. In this note exact solutions are presented for
the proposed BPS equation - which is from the point of view of the M2-brane
world-volume dynamics - with boundary conditions appropriate for M2-branes
stretching between two M5-branes. Unfortunately, since the action for multiple
M5-branes or for multiple coincident M2-branes is not known, one can only
resort to consistency checks of the proposal instead of a direct comparison of
the M2 and M5 world-volume point of views. The existence of our solutions
should be seen as such a consistency check of the conjecture, and also as a
source of new insight into the dynamics of multiple M2 and M5-branes.
| [
{
"created": "Tue, 8 Nov 2005 14:38:03 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Jan 2006 09:57:12 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Nogradi",
"Daniel",
""
]
] | A generalization of Nahm's equation has been recently conjectured by Basu and Harvey to be the BPS condition describing the bound state of a stack of M2-branes ending on an M5-brane. In this note exact solutions are presented for the proposed BPS equation - which is from the point of view of the M2-brane world-volume dynamics - with boundary conditions appropriate for M2-branes stretching between two M5-branes. Unfortunately, since the action for multiple M5-branes or for multiple coincident M2-branes is not known, one can only resort to consistency checks of the proposal instead of a direct comparison of the M2 and M5 world-volume point of views. The existence of our solutions should be seen as such a consistency check of the conjecture, and also as a source of new insight into the dynamics of multiple M2 and M5-branes. |
hep-th/0101083 | Ram Brustein | R. Brustein, S. Foffa, and G. Veneziano | CFT, Holography, and Causal Entropy Bound | 14 pages, 2 figures | Phys.Lett. B507 (2001) 270-276 | 10.1016/S0370-2693(01)00172-1 | CERN-TH/2000-382 | hep-th | null | The causal entropy bound (CEB) is confronted with recent explicit entropy
calculations in weakly and strongly coupled conformal field theories (CFTs) in
arbitrary dimension $D$. For CFT's with a large number of fields, $N$, the CEB
is found to be valid for temperatures not exceeding a value of order
$M_P/N^{{1\over D-2}}$, in agreement with large $N$ bounds in generic cut-off
theories of gravity, and with the generalized second law. It is also shown that
for a large class of models including high-temperature weakly coupled CFT's and
strongly coupled CFT's with AdS duals, the CEB, despite the fact that it
relates extensive quantities, is equivalent to (a generalization of) a purely
holographic entropy bound proposed by E. Verlinde.
| [
{
"created": "Fri, 12 Jan 2001 18:21:55 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2001 05:57:26 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Brustein",
"R.",
""
],
[
"Foffa",
"S.",
""
],
[
"Veneziano",
"G.",
""
]
] | The causal entropy bound (CEB) is confronted with recent explicit entropy calculations in weakly and strongly coupled conformal field theories (CFTs) in arbitrary dimension $D$. For CFT's with a large number of fields, $N$, the CEB is found to be valid for temperatures not exceeding a value of order $M_P/N^{{1\over D-2}}$, in agreement with large $N$ bounds in generic cut-off theories of gravity, and with the generalized second law. It is also shown that for a large class of models including high-temperature weakly coupled CFT's and strongly coupled CFT's with AdS duals, the CEB, despite the fact that it relates extensive quantities, is equivalent to (a generalization of) a purely holographic entropy bound proposed by E. Verlinde. |
hep-th/0308065 | Ruben Mkrtchyan | H.Mkrtchyan and R.Mkrtchyan | Little Groups of Preon Branes | LaTeX, 11 pages | Mod.Phys.Lett. A18 (2003) 2665-2672 | 10.1142/S0217732303012167 | null | hep-th | null | Little groups for preon branes (i.e. configurations of branes with maximal
(n-1)/n fraction of survived supersymmetry) for dimensions d=2,3,...,11 are
calculated for all massless, and partially for massive orbits. For massless
orbits little groups are semidirect product of d-2 translational group
$T_{d-2}$ on a subgroup of (SO(d-2) $\times$ R-invariance) group. E.g. at d=9
the subgroup is exceptional $G_2$ group. It is also argued, that 11d Majorana
spinor invariants, which distinguish orbits, are actually invariant under
d=2+10 Lorentz group. Possible applications of these results include
construction of field theories in generalized space-times with brane charges
coordinates, different problems of group's representations decompositions,
spin-statistics issues.
| [
{
"created": "Fri, 8 Aug 2003 17:56:01 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Mkrtchyan",
"H.",
""
],
[
"Mkrtchyan",
"R.",
""
]
] | Little groups for preon branes (i.e. configurations of branes with maximal (n-1)/n fraction of survived supersymmetry) for dimensions d=2,3,...,11 are calculated for all massless, and partially for massive orbits. For massless orbits little groups are semidirect product of d-2 translational group $T_{d-2}$ on a subgroup of (SO(d-2) $\times$ R-invariance) group. E.g. at d=9 the subgroup is exceptional $G_2$ group. It is also argued, that 11d Majorana spinor invariants, which distinguish orbits, are actually invariant under d=2+10 Lorentz group. Possible applications of these results include construction of field theories in generalized space-times with brane charges coordinates, different problems of group's representations decompositions, spin-statistics issues. |
0704.2265 | Rajan Murgan | Rajan Murgan | Finite-size correction and bulk hole-excitations for special case of an
open XXZ chain with nondiagonal boundary terms at roots of unity | 21 pages, LaTeX, v2: minor changes and 3 references added | JHEP 0705:069,2007 | 10.1088/1126-6708/2007/05/069 | null | hep-th | null | Using our solution for the open spin-1/2 XXZ quantum spin chain with N spins
and two arbitrary boundary parameters at roots of unity, the central charge and
the conformal dimensions for bulk hole excitations are derived from the 1/N
correction to the energy (Casimir energy).
| [
{
"created": "Wed, 18 Apr 2007 03:42:11 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2007 20:26:22 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Murgan",
"Rajan",
""
]
] | Using our solution for the open spin-1/2 XXZ quantum spin chain with N spins and two arbitrary boundary parameters at roots of unity, the central charge and the conformal dimensions for bulk hole excitations are derived from the 1/N correction to the energy (Casimir energy). |
1710.01740 | John Terning | Nemanja Kaloper and John Terning | Landscaping the Strong CP Problem | 8 pages, added discussion of expectation value of theta and
references | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One often hears that the strong $CP$ problem is the one problem which cannot
be solved by anthropic reasoning. We argue that this is not so. Due to
nonperturbative dynamics, states with a different $CP$ violating paramenter
$\theta$ acquire different vacuum energies after the QCD phase transition.
These add to the total variation of the cosmological constant in the putative
landscape of Universes. An interesting possibility arises when the cosmological
constant is mostly cancelled by the membrane nucleation mechanism. If the step
size in the resulting discretuum of cosmological constants, $\Delta \Lambda$,
is in the interval $({\rm meV})^4 < \Delta \Lambda < (100 \, {\rm MeV})^4$, the
cancellation of vacuum energy can be assisted by the scanning of $\theta$. For
$({\rm meV})^4 < \Delta \Lambda < ({\rm keV})^4$ this yields $\theta <
10^{-10}$, meeting the observational limits. This scenario opens up 24 orders
of magnitude of acceptable parameter space for $\Delta \Lambda$ compared to
membrane nucleation acting alone. In such a Universe one may not need a light
axion to solve the strong $CP$ problem.
| [
{
"created": "Wed, 4 Oct 2017 18:00:16 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Dec 2017 20:02:51 GMT",
"version": "v2"
}
] | 2017-12-11 | [
[
"Kaloper",
"Nemanja",
""
],
[
"Terning",
"John",
""
]
] | One often hears that the strong $CP$ problem is the one problem which cannot be solved by anthropic reasoning. We argue that this is not so. Due to nonperturbative dynamics, states with a different $CP$ violating paramenter $\theta$ acquire different vacuum energies after the QCD phase transition. These add to the total variation of the cosmological constant in the putative landscape of Universes. An interesting possibility arises when the cosmological constant is mostly cancelled by the membrane nucleation mechanism. If the step size in the resulting discretuum of cosmological constants, $\Delta \Lambda$, is in the interval $({\rm meV})^4 < \Delta \Lambda < (100 \, {\rm MeV})^4$, the cancellation of vacuum energy can be assisted by the scanning of $\theta$. For $({\rm meV})^4 < \Delta \Lambda < ({\rm keV})^4$ this yields $\theta < 10^{-10}$, meeting the observational limits. This scenario opens up 24 orders of magnitude of acceptable parameter space for $\Delta \Lambda$ compared to membrane nucleation acting alone. In such a Universe one may not need a light axion to solve the strong $CP$ problem. |
1305.1013 | Rudra Prakash Malik | T. Bhanja, D. Shukla, R. P. Malik | Novel symmetries in the modified version of two dimensional Proca theory | LaTeX file, 21 pages, journal reference | Eur. Phys. J. C 73: 2535 [p01-13], 2013 | 10.1140/epjc/s10052-013-2535-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By exploiting Stueckelberg's approach, we obtain a gauge theory for the two
(1+1)-dimensional (2D) Proca theory and demonstrate that this theory is endowed
with, in addition to the usual Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST
symmetries, the on-shell nilpotent (anti-)co-BRST symmetries, under which the
total gauge-fixing term remains invariant. The anticommutator of the BRST and
co-BRST (as well as anti-BRST and anti-co-BRST) symmetries define a unique
bosonic symmetry in the theory, under which the ghost part of the Lagrangian
density remains invariant. To establish connections of the above symmetries
with the Hodge theory, we invoke a pseudo-scalar field in the theory.
Ultimately, we demonstrate that the full theory provides a field theoretic
example for the Hodge theory where the continuous symmetry transformations
provide a physical realization of the de Rham cohomological operators and
discrete symmetries of the theory lead to the physical realization of the Hodge
duality operation of differential geometry. We also mention the physical
implications and utility of our present investigation.
| [
{
"created": "Sun, 5 May 2013 13:47:32 GMT",
"version": "v1"
},
{
"created": "Tue, 21 May 2013 13:26:26 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Aug 2013 13:39:27 GMT",
"version": "v3"
},
{
"created": "Sat, 7 Sep 2013 13:26:49 GMT",
"version": "v4"
}
] | 2013-09-10 | [
[
"Bhanja",
"T.",
""
],
[
"Shukla",
"D.",
""
],
[
"Malik",
"R. P.",
""
]
] | By exploiting Stueckelberg's approach, we obtain a gauge theory for the two (1+1)-dimensional (2D) Proca theory and demonstrate that this theory is endowed with, in addition to the usual Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetries, the on-shell nilpotent (anti-)co-BRST symmetries, under which the total gauge-fixing term remains invariant. The anticommutator of the BRST and co-BRST (as well as anti-BRST and anti-co-BRST) symmetries define a unique bosonic symmetry in the theory, under which the ghost part of the Lagrangian density remains invariant. To establish connections of the above symmetries with the Hodge theory, we invoke a pseudo-scalar field in the theory. Ultimately, we demonstrate that the full theory provides a field theoretic example for the Hodge theory where the continuous symmetry transformations provide a physical realization of the de Rham cohomological operators and discrete symmetries of the theory lead to the physical realization of the Hodge duality operation of differential geometry. We also mention the physical implications and utility of our present investigation. |
0707.2408 | Matthew J. Strassler | Richard C. Brower (Boston U.), Matthew J. Strassler (U. Washington),
Chung-I Tan (Brown U.) | On the Eikonal Approximation in AdS Space | 22 pages, 2 figures; published version: updated references and
several clarifying remarks added | JHEP 0903:050,2009 | 10.1088/1126-6708/2009/03/050 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the eikonal approximation to graviton exchange in AdS_5 space, as
relevant to scattering in gauge theories. We restrict ourselves to the regime
where conformal invariance of the dual gauge theory holds, and to large 't
Hooft coupling where the computation involves pure gravity. We give a heuristic
argument, a direct loop computation, and a shock wave derivation. The scalar
propagator in AdS_3 plays a key role, indicating that even at strong coupling,
two-dimensional conformal invariance controls high-energy four-dimensional
gauge-theory scattering.
| [
{
"created": "Tue, 17 Jul 2007 19:43:11 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jan 2010 13:56:50 GMT",
"version": "v2"
}
] | 2010-01-10 | [
[
"Brower",
"Richard C.",
"",
"Boston U."
],
[
"Strassler",
"Matthew J.",
"",
"U. Washington"
],
[
"Tan",
"Chung-I",
"",
"Brown U."
]
] | We explore the eikonal approximation to graviton exchange in AdS_5 space, as relevant to scattering in gauge theories. We restrict ourselves to the regime where conformal invariance of the dual gauge theory holds, and to large 't Hooft coupling where the computation involves pure gravity. We give a heuristic argument, a direct loop computation, and a shock wave derivation. The scalar propagator in AdS_3 plays a key role, indicating that even at strong coupling, two-dimensional conformal invariance controls high-energy four-dimensional gauge-theory scattering. |
2408.03852 | Cliff Burgess | C.P. Burgess, F. Muia and F. Quevedo | 4D de Sitter from String Theory via 6D Supergravity | 34 pages, 7 figures | null | null | CERN-TH-2024-107 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We obtain de Sitter (dS) solutions from controlled string-theory
constructions. We review how minimal gauged chiral 6D supergravity evades
standard dS no-go theorems by having a positive scalar potential and describe
the known 4D classical dS, AdS and Minkowski solutions. Grimm and collaborators
recently found a related 6D supergravity by direct F-theory Calabi-Yau flux
compactifications and we construct classical 4D maximally symmetric solutions
for this 6D supergravity. These provide explicit solutions of the
higher-dimensional field equations corresponding to dS, AdS and flat spacetimes
in 4D, allowing interesting hierarchies of scales. We show how the
singularities of these solutions are consistent with the back-reaction of two
space-filling 4D brane-like sources situated within the extra dimensions and
infer some of the properties of these sources using the formalism of point
particle effective field theory (PPEFT), showing the sources are not vanilla
objects like D branes. These tools relate the near-source asymptotic forms of
bulk fields to source properties and have been extensively tested for more
prosaic physical systems involving the back-reaction of small sources, such as
the dependence of atomic energy levels on nuclear properties. We use it to
determine the tension of the brane-like sources (that can be positive) and its
derivatives. We verify that the solutions are in the weak coupling/large volume
regime required to neglect quantum and $\alpha'$ effects.
| [
{
"created": "Wed, 7 Aug 2024 15:47:07 GMT",
"version": "v1"
}
] | 2024-08-08 | [
[
"Burgess",
"C. P.",
""
],
[
"Muia",
"F.",
""
],
[
"Quevedo",
"F.",
""
]
] | We obtain de Sitter (dS) solutions from controlled string-theory constructions. We review how minimal gauged chiral 6D supergravity evades standard dS no-go theorems by having a positive scalar potential and describe the known 4D classical dS, AdS and Minkowski solutions. Grimm and collaborators recently found a related 6D supergravity by direct F-theory Calabi-Yau flux compactifications and we construct classical 4D maximally symmetric solutions for this 6D supergravity. These provide explicit solutions of the higher-dimensional field equations corresponding to dS, AdS and flat spacetimes in 4D, allowing interesting hierarchies of scales. We show how the singularities of these solutions are consistent with the back-reaction of two space-filling 4D brane-like sources situated within the extra dimensions and infer some of the properties of these sources using the formalism of point particle effective field theory (PPEFT), showing the sources are not vanilla objects like D branes. These tools relate the near-source asymptotic forms of bulk fields to source properties and have been extensively tested for more prosaic physical systems involving the back-reaction of small sources, such as the dependence of atomic energy levels on nuclear properties. We use it to determine the tension of the brane-like sources (that can be positive) and its derivatives. We verify that the solutions are in the weak coupling/large volume regime required to neglect quantum and $\alpha'$ effects. |
hep-th/9410019 | Shaden | M.Schaden and D.Zwanziger | Horizon Condition Holds Pointwise on Finite Lattice with Free Boundary
Conditions | 8 Latex pages, NYU-94-SZ2 | null | null | null | hep-th hep-lat | null | It is proven that the "horizon condition", which was found to characterize
the fundamental modular region in continuum theory and the thermodynamic limit
of gauge theory on a periodic lattice, holds for every (transverse)
configuration on a finite lattice with free boundary conditions.
| [
{
"created": "Tue, 4 Oct 1994 14:58:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Schaden",
"M.",
""
],
[
"Zwanziger",
"D.",
""
]
] | It is proven that the "horizon condition", which was found to characterize the fundamental modular region in continuum theory and the thermodynamic limit of gauge theory on a periodic lattice, holds for every (transverse) configuration on a finite lattice with free boundary conditions. |
hep-th/9309044 | Alexios Polychronakos | Joseph A. Minahan and Alexios P. Polychronakos | Interacting Fermion Systems from Two Dimensional QCD | 11 pages, UVA-93-11, CERN-TH-6994/93 | Phys.Lett. B326 (1994) 288-294 | 10.1016/0370-2693(94)91324-2 | null | hep-th cond-mat | null | We consider two dimensional U(N) QCD on the cylinder with a timelike Wilson
line in an arbitrary representation. We show that the theory is equivalent to N
fermions with internal degrees of freedom which interact among themselves with
a generalized Sutherland-type interaction. By evaluating the expectation value
of the Wilson line in the original theory we explicitly find the spectrum and
degeneracies of these particle systems.
| [
{
"created": "Wed, 8 Sep 1993 12:08:15 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Minahan",
"Joseph A.",
""
],
[
"Polychronakos",
"Alexios P.",
""
]
] | We consider two dimensional U(N) QCD on the cylinder with a timelike Wilson line in an arbitrary representation. We show that the theory is equivalent to N fermions with internal degrees of freedom which interact among themselves with a generalized Sutherland-type interaction. By evaluating the expectation value of the Wilson line in the original theory we explicitly find the spectrum and degeneracies of these particle systems. |
0802.3526 | Bert Schroer | Bert Schroer | Do confinement and darkness have the same conceptual roots? | The material in arXiv:0802.2098, arXiv:0802.3526 and arXiv:0804.3563
has been reorganized and distributed in a more appropriate way over the 3
papers. Addition of many references and improvements of formulations | null | null | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note the connection between "perfect dark matter" and
string-localization as the tightest noncompact localized matter is pursued in
the context of Yang Mills theories. A programmatic approach based on the
observation that behind the serious infrared problems which prevented the use
of the axial gauge there is unique covariant semiinfinite string-like field,
which flucuates in the endpoint as well as in the string direction, is
formulated and the open problems are explained. Whereas hitherto the gauge
formalism in its local gauge invariants accounted for the observed hadrons the
new formalism based on the consistent use of string-localized vectorpotentials
has a good chance to unravel the nonlocal part in which energy-momentum
carrying dark/confined objects (gluons, quarks,..) may be residing.
PACS: 95.35+d, 11.10-z, 11.30 Cp
| [
{
"created": "Mon, 25 Feb 2008 14:48:20 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Feb 2008 16:22:21 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Apr 2008 18:51:52 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jul 2008 18:07:05 GMT",
"version": "v4"
}
] | 2008-07-10 | [
[
"Schroer",
"Bert",
""
]
] | In this note the connection between "perfect dark matter" and string-localization as the tightest noncompact localized matter is pursued in the context of Yang Mills theories. A programmatic approach based on the observation that behind the serious infrared problems which prevented the use of the axial gauge there is unique covariant semiinfinite string-like field, which flucuates in the endpoint as well as in the string direction, is formulated and the open problems are explained. Whereas hitherto the gauge formalism in its local gauge invariants accounted for the observed hadrons the new formalism based on the consistent use of string-localized vectorpotentials has a good chance to unravel the nonlocal part in which energy-momentum carrying dark/confined objects (gluons, quarks,..) may be residing. PACS: 95.35+d, 11.10-z, 11.30 Cp |
2308.16341 | Constanza Quijada | Constanza Quijada, Andr\'es Anabal\'on, Robert B. Mann and Julio Oliva | Triple Points of Gravitational AdS Solitons and Black Holes | 6 pages, 6 figures. V2: Accepted in PRD
https://journals.aps.org/prd/accepted/5707aY73X4419c81e2438c20a72bca90a7080bb9d | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a triple point of a new kind for General Relativity, at which two
gravitational solitons can coexist with a planar black hole in anti de Sitter
space. Working in the context of non-linear electrodynamics, we obtain simple,
sensible spacetimes for which the thermodynamics can be studied in an analytic
manner. The spacetimes are charged under the non-linear electrodynamics leading
to an electric charge for black holes and a magnetic flux for solitons. In the
grand-canonical ensemble, we show that the phase space of the theory is very
rich, containing re-entrant phase transitions, as well as triple points, for
small values of the coupling controlling the non-linearity of the
electrodynamics Lagrangian.
| [
{
"created": "Wed, 30 Aug 2023 22:21:39 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Jun 2024 00:19:36 GMT",
"version": "v2"
}
] | 2024-06-25 | [
[
"Quijada",
"Constanza",
""
],
[
"Anabalón",
"Andrés",
""
],
[
"Mann",
"Robert B.",
""
],
[
"Oliva",
"Julio",
""
]
] | We present a triple point of a new kind for General Relativity, at which two gravitational solitons can coexist with a planar black hole in anti de Sitter space. Working in the context of non-linear electrodynamics, we obtain simple, sensible spacetimes for which the thermodynamics can be studied in an analytic manner. The spacetimes are charged under the non-linear electrodynamics leading to an electric charge for black holes and a magnetic flux for solitons. In the grand-canonical ensemble, we show that the phase space of the theory is very rich, containing re-entrant phase transitions, as well as triple points, for small values of the coupling controlling the non-linearity of the electrodynamics Lagrangian. |
hep-th/9707181 | Jack Gegenberg | J. Gegenberg and G. Kunstatter | Solitons and Black Holes | Substantial revisions in sections 4-5, Latex file, 13 pages.
Typographical errors corrected; accepted for publication in Phys. Lett. B | Phys.Lett. B413 (1997) 274-280 | 10.1016/S0370-2693(97)01118-0 | null | hep-th gr-qc nlin.SI solv-int | null | We explore the relationship between black holes in Jackiw-Teitelboim(JT)
dilaton gravity and solitons in sine-Gordon field theory. Our analysis expands
on the well known connection between solutions of the sine-Gordon equation and
constant curvature metrics. In particular, we show that solutions to the
dilaton field equations for a given metric in JT theory also solve the
sine-Gordon equation linearized about the corresponding soliton. Since the
dilaton generates Killing vectors of the constant curvature metric, it is
interesting that it has an analoguous interpretation in terms of symmetries of
the soliton solution. We also show that from the B${\ddot a}$cklund
transformations relating different soliton solutions, it is possible to
construct a flat SL(2,R) connection which forms the basis for the gauge theory
formulation of JT dilaton gravity.
| [
{
"created": "Mon, 21 Jul 1997 16:31:39 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 1997 17:56:08 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Sep 1997 12:24:57 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Gegenberg",
"J.",
""
],
[
"Kunstatter",
"G.",
""
]
] | We explore the relationship between black holes in Jackiw-Teitelboim(JT) dilaton gravity and solitons in sine-Gordon field theory. Our analysis expands on the well known connection between solutions of the sine-Gordon equation and constant curvature metrics. In particular, we show that solutions to the dilaton field equations for a given metric in JT theory also solve the sine-Gordon equation linearized about the corresponding soliton. Since the dilaton generates Killing vectors of the constant curvature metric, it is interesting that it has an analoguous interpretation in terms of symmetries of the soliton solution. We also show that from the B${\ddot a}$cklund transformations relating different soliton solutions, it is possible to construct a flat SL(2,R) connection which forms the basis for the gauge theory formulation of JT dilaton gravity. |
1407.2135 | Rudra Prakash Malik | S. Krishna, R. P. Malik | A Free N = 2 Supersymmetric System: Novel Symmetries | LaTeX file, 12 pages, Journal reference is given | Europhys. Lett. 109: 31001 [p01--p06], 2015 | 10.1209/0295-5075/109/31001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a set of novel discrete symmetries of a free N = 2 supersymmetric
(SUSY) quantum mechanical system which is the limiting case of a widely-studied
interacting SUSY model of a charged particle constrained to move on a sphere in
the background of a Dirac magnetic monopole. The usual continuous symmetries of
this model provide the physical realization of the de Rham cohomological
operators of differential geometry. The interplay between the novel discrete
symmetries and usual continuous symmetries leads to the physical realization of
relationship between the (co-)exterior derivatives of differential geometry. We
have also exploited the supervariable approach to derive the nilpotent N = 2
SUSY symmetries of the theory and provided the geometrical origin and
interpretation for the nilpotency property. Ultimately, our present study
(based on innate symmetries) proves that our free N = 2 SUSY example is a
tractable model for the Hodge theory.
| [
{
"created": "Tue, 8 Jul 2014 15:35:01 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Jan 2015 05:22:18 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Apr 2015 05:06:21 GMT",
"version": "v3"
}
] | 2015-04-17 | [
[
"Krishna",
"S.",
""
],
[
"Malik",
"R. P.",
""
]
] | We discuss a set of novel discrete symmetries of a free N = 2 supersymmetric (SUSY) quantum mechanical system which is the limiting case of a widely-studied interacting SUSY model of a charged particle constrained to move on a sphere in the background of a Dirac magnetic monopole. The usual continuous symmetries of this model provide the physical realization of the de Rham cohomological operators of differential geometry. The interplay between the novel discrete symmetries and usual continuous symmetries leads to the physical realization of relationship between the (co-)exterior derivatives of differential geometry. We have also exploited the supervariable approach to derive the nilpotent N = 2 SUSY symmetries of the theory and provided the geometrical origin and interpretation for the nilpotency property. Ultimately, our present study (based on innate symmetries) proves that our free N = 2 SUSY example is a tractable model for the Hodge theory. |
hep-th/0005065 | Yuji Sugawara | Yasuaki Hikida, Kazuo Hosomichi and Yuji Sugawara | String Theory on AdS_3 as Discrete Light-Cone Liouville Theory | 41 pages, no figure, the version to appear in Nucl. Phys. B. Section
3 and 4 are improved, and a discussion about the multiple long string system
is added | Nucl.Phys. B589 (2000) 134-166 | 10.1016/S0550-3213(00)00529-0 | UT-887 | hep-th | null | We investigate (super) string theory on $AdS_3$ background based on an
approach of free field realization. We demonstrate that this string theory can
be reformulated as a string theory defined on a linear dilaton background along
the transverse direction (``Liouville mode'') and compactified onto $S^1$ along
a {\em light-like} direction.
Under this reformulation we analyze the physical spectrum as that of a free
field system, and discuss the consequences when we turn on the Liouville
potential. The discrete light-cone momentum in our framework is naturally
interpreted as the ``winding number'' of the long string configuration and is
identified with the spectral flow parameter that is introduced in the recent
work by Maldacena and Ooguri \cite{MO}.
Moreover we show that there exist infinite number of the on-shell chiral
primary states possessing the different light-cone momenta and the spectral
flow consistently acts on the space of chiral primaries. We observe that they
are also chiral primaries in the sense of space-time (or the conformal theory
of long string) and the spectrum of space-time $U(1)_R$ charge is consistent
with the expectation from the $AdS_3/CFT_2$-duality. We also clarify the
correspondence between our framework and the symmetric orbifold theory of
multiple long string system \cite{HS2}.
| [
{
"created": "Mon, 8 May 2000 11:06:46 GMT",
"version": "v1"
},
{
"created": "Thu, 11 May 2000 06:39:36 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Aug 2000 00:51:43 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hikida",
"Yasuaki",
""
],
[
"Hosomichi",
"Kazuo",
""
],
[
"Sugawara",
"Yuji",
""
]
] | We investigate (super) string theory on $AdS_3$ background based on an approach of free field realization. We demonstrate that this string theory can be reformulated as a string theory defined on a linear dilaton background along the transverse direction (``Liouville mode'') and compactified onto $S^1$ along a {\em light-like} direction. Under this reformulation we analyze the physical spectrum as that of a free field system, and discuss the consequences when we turn on the Liouville potential. The discrete light-cone momentum in our framework is naturally interpreted as the ``winding number'' of the long string configuration and is identified with the spectral flow parameter that is introduced in the recent work by Maldacena and Ooguri \cite{MO}. Moreover we show that there exist infinite number of the on-shell chiral primary states possessing the different light-cone momenta and the spectral flow consistently acts on the space of chiral primaries. We observe that they are also chiral primaries in the sense of space-time (or the conformal theory of long string) and the spectrum of space-time $U(1)_R$ charge is consistent with the expectation from the $AdS_3/CFT_2$-duality. We also clarify the correspondence between our framework and the symmetric orbifold theory of multiple long string system \cite{HS2}. |
1003.1192 | Benoit Vicedo | Benoit Vicedo | The classical R-matrix of AdS/CFT and its Lie dialgebra structure | 22 pages, 2 figures | Lett.Math.Phys.95:249-274,2011 | 10.1007/s11005-010-0446-9 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The classical integrable structure of Z_4-graded supercoset sigma-models,
arising in the AdS/CFT correspondence, is formulated within the R-matrix
approach. The central object in this construction is the standard R-matrix of
the Z_4-twisted loop algebra. However, in order to correctly describe the Lax
matrix within this formalism, the standard inner product on this twisted loop
algebra requires a further twist induced by the Zhukovsky map, which also plays
a key role in the AdS/CFT correspondence. The non-ultralocality of the
sigma-model can be understood as stemming from this latter twist since it leads
to a non skew-symmetric R-matrix.
| [
{
"created": "Fri, 5 Mar 2010 20:22:15 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Aug 2010 16:46:33 GMT",
"version": "v2"
}
] | 2011-03-02 | [
[
"Vicedo",
"Benoit",
""
]
] | The classical integrable structure of Z_4-graded supercoset sigma-models, arising in the AdS/CFT correspondence, is formulated within the R-matrix approach. The central object in this construction is the standard R-matrix of the Z_4-twisted loop algebra. However, in order to correctly describe the Lax matrix within this formalism, the standard inner product on this twisted loop algebra requires a further twist induced by the Zhukovsky map, which also plays a key role in the AdS/CFT correspondence. The non-ultralocality of the sigma-model can be understood as stemming from this latter twist since it leads to a non skew-symmetric R-matrix. |
1707.02192 | Thales Azevedo | Thales Azevedo, Oluf Tang Engelund | Ambitwistor formulations of $R^2$ gravity and $(DF)^2$ gauge theories | 35 pages; v2: references added/updated, revised version | null | 10.1007/JHEP11(2017)052 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $D$-dimensional amplitudes in $R^2$ gravities (conformal gravity
in $D=4$) and in the recently introduced $(DF)^2$ gauge theory, from the
perspective of the CHY formulae and ambitwistor string theory. These theories
are related through the BCJ double-copy construction, and the $(DF)^2$ gauge
theory obeys color-kinematics duality. We work out the worldsheet details of
these theories and show that they admit a formulation as integrals on the
support of the scattering equations, or alternatively, as ambitwistor string
theories. For gravity, this generalizes the work done by Berkovits and Witten
on conformal gravity to $D$ dimensions. The ambitwistor is also interpreted as
a $D$-dimensional generalization of Witten's twistor string (SYM + conformal
supergravity). As part of our ambitwistor investigation, we discover another
$(DF)^2$ gauge theory containing a photon that couples to Einstein gravity.
This theory can provide an alternative KLT description of Einstein gravity
compared to the usual Yang-Mills squared.
| [
{
"created": "Fri, 7 Jul 2017 14:26:45 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Oct 2017 15:34:57 GMT",
"version": "v2"
}
] | 2017-11-21 | [
[
"Azevedo",
"Thales",
""
],
[
"Engelund",
"Oluf Tang",
""
]
] | We consider $D$-dimensional amplitudes in $R^2$ gravities (conformal gravity in $D=4$) and in the recently introduced $(DF)^2$ gauge theory, from the perspective of the CHY formulae and ambitwistor string theory. These theories are related through the BCJ double-copy construction, and the $(DF)^2$ gauge theory obeys color-kinematics duality. We work out the worldsheet details of these theories and show that they admit a formulation as integrals on the support of the scattering equations, or alternatively, as ambitwistor string theories. For gravity, this generalizes the work done by Berkovits and Witten on conformal gravity to $D$ dimensions. The ambitwistor is also interpreted as a $D$-dimensional generalization of Witten's twistor string (SYM + conformal supergravity). As part of our ambitwistor investigation, we discover another $(DF)^2$ gauge theory containing a photon that couples to Einstein gravity. This theory can provide an alternative KLT description of Einstein gravity compared to the usual Yang-Mills squared. |
hep-th/0107098 | Yi Yang | K. S. Viswanathan and Yi Yang | Non-orientable Boundary Superstring Field theory with Tachyon field | 17 pages, 2 figures, references added | Phys.Rev. D65 (2002) 066001 | 10.1103/PhysRevD.65.066001 | null | hep-th | null | We use the BSFT method to study the unoriented open string field theory (type
I). The partition function on the Mobius strip is calculated. We find that, at
the one-loop level, the divergence coming from planar graph and unoriented
graph cancel each other as expected.
| [
{
"created": "Wed, 11 Jul 2001 23:49:24 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2001 04:05:39 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Nov 2001 07:15:28 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Viswanathan",
"K. S.",
""
],
[
"Yang",
"Yi",
""
]
] | We use the BSFT method to study the unoriented open string field theory (type I). The partition function on the Mobius strip is calculated. We find that, at the one-loop level, the divergence coming from planar graph and unoriented graph cancel each other as expected. |
1106.1714 | Mohammad R. Garousi | Mohammad R. Garousi | S-duality of S-matrix | 20 pages, Latex file, no figure; v5: the version appears in JHEP | null | 10.1007/JHEP11(2011)016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, it has been observed that the kinematic factor of the disk-level
S-matrix element of two RR two-forms and the disk-level S-matrix element of two
B-fields on the world volume of D$_3$-brane are compatible with the standard
rules of S-duality. Inspired by this observation, we speculate that the
S-matrix elements on the world volume of D$_3$-brane are invariant under the
$SL(2,Z)$ transformation. Compatibility with S-duality requires the S-matrix
elements on the world volume of D$_1$-brane and D$_5$-brane to be extended to
the $SL(2,Z)$-covariant form. In particular, this implies the S-matrix elements
on the world volume of F$_1$-string and NS$_5$-brane at strong coupling to be
related by S-duality to the disk-level S-matrix elements of D$_1$-string and
D$_5$-brane, respectively. %The S-matrix elements then dictate that both
F$_1$-string and NS$_5$-brane have D$_1$-string excitations. The contact terms
of these S-matrix elements at order $O(\alpha'^0)$ produce a Born-Infeld and
Chern-Simons type effective action for both F$_1$-string and NS$_5$-brane. They
are consistent with the $SL(2,R)$-covariant action appears in the literature.
| [
{
"created": "Thu, 9 Jun 2011 06:28:23 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Jun 2011 11:27:54 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jun 2011 09:25:01 GMT",
"version": "v3"
},
{
"created": "Wed, 10 Aug 2011 09:41:25 GMT",
"version": "v4"
},
{
"created": "Wed, 2 Nov 2011 13:05:50 GMT",
"version": "v5"
}
] | 2015-05-28 | [
[
"Garousi",
"Mohammad R.",
""
]
] | Recently, it has been observed that the kinematic factor of the disk-level S-matrix element of two RR two-forms and the disk-level S-matrix element of two B-fields on the world volume of D$_3$-brane are compatible with the standard rules of S-duality. Inspired by this observation, we speculate that the S-matrix elements on the world volume of D$_3$-brane are invariant under the $SL(2,Z)$ transformation. Compatibility with S-duality requires the S-matrix elements on the world volume of D$_1$-brane and D$_5$-brane to be extended to the $SL(2,Z)$-covariant form. In particular, this implies the S-matrix elements on the world volume of F$_1$-string and NS$_5$-brane at strong coupling to be related by S-duality to the disk-level S-matrix elements of D$_1$-string and D$_5$-brane, respectively. %The S-matrix elements then dictate that both F$_1$-string and NS$_5$-brane have D$_1$-string excitations. The contact terms of these S-matrix elements at order $O(\alpha'^0)$ produce a Born-Infeld and Chern-Simons type effective action for both F$_1$-string and NS$_5$-brane. They are consistent with the $SL(2,R)$-covariant action appears in the literature. |
hep-th/0411266 | Carlos A. S. Almeida | Carlos Alberto Santos Almeida and Makarius Oliveira Tahim | Topological Gravity, the Hierarchy Problem and Axion Physics | 5 pages, Seminar presented at IV International Winter Conference on
Mathematical Methods in Physics, 09-13 August 2004, Rio de Janeiro, Brazil | PoS WC2004 (2004) 012 | null | null | hep-th | null | In the last years higher dimensional physics has won importance. Despite the
Superstrings, higher dimensional effects, in measurable scales of energy (some
TeV), became only possible with Randall-Sundrum's models (RS). In particular,
recent studies in neutrino and axion physics have proposed new and interesting
questions about neutrino mixings and new scales intermediating the Weak and
Planck scales. In this work we discuss field theoretic models that in some
aspects are similar to the RS models. Indeed, our models contain domain walls,
solitonic-like objects that mimics the branes of the RS models. Applications
are discussed ranging from topological field theories in higher dimensions
until models containing D=5 space-time torsion in the RS scenario. In
particular, we talk about subjects related to topological gravity, the
hierarchy problem and axion physics. The topological terms studied are
generalizations for $D>4$ of the axion-foton coupling in D=4. Such procedure
involves naturally the Kalb-Ramond field. By dimensional reductions we obtain
topological terms of the $B\wedge F$ type in D=4 Chern-Simons-like and
$B\wedge\partial\phi$ type both in D=3.
| [
{
"created": "Mon, 29 Nov 2004 21:01:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Almeida",
"Carlos Alberto Santos",
""
],
[
"Tahim",
"Makarius Oliveira",
""
]
] | In the last years higher dimensional physics has won importance. Despite the Superstrings, higher dimensional effects, in measurable scales of energy (some TeV), became only possible with Randall-Sundrum's models (RS). In particular, recent studies in neutrino and axion physics have proposed new and interesting questions about neutrino mixings and new scales intermediating the Weak and Planck scales. In this work we discuss field theoretic models that in some aspects are similar to the RS models. Indeed, our models contain domain walls, solitonic-like objects that mimics the branes of the RS models. Applications are discussed ranging from topological field theories in higher dimensions until models containing D=5 space-time torsion in the RS scenario. In particular, we talk about subjects related to topological gravity, the hierarchy problem and axion physics. The topological terms studied are generalizations for $D>4$ of the axion-foton coupling in D=4. Such procedure involves naturally the Kalb-Ramond field. By dimensional reductions we obtain topological terms of the $B\wedge F$ type in D=4 Chern-Simons-like and $B\wedge\partial\phi$ type both in D=3. |
2206.10515 | Christian Ferko | Christian Ferko, Alessandro Sfondrini, Liam Smith, Gabriele
Tartaglino-Mazzucchelli | Root-$T \overline{T}$ Deformations in Two-Dimensional Quantum Field
Theories | 6 pages; LaTeX; references and note added | Phys. Rev. Lett. 129 (2022), 201604 | 10.1103/PhysRevLett.129.201604 | null | hep-th cond-mat.stat-mech math-ph math.MP nlin.SI | http://creativecommons.org/licenses/by/4.0/ | In this letter we introduce a one-parameter deformation of two-dimensional
quantum field theories generated by a non-analytic operator which we call
Root-$T \overline{T}$. For a conformal field theory, the operator coincides
with the square-root of the $T \overline{T}$ operator. More generally, the
operator is defined so that classically it is marginal and generates a flow
which commutes with the $T \overline{T}$-flow. Intriguingly, the Root-$T
\overline{T}$ flow is closely related to the ModMax theory recently constructed
by Bandos, Lechner, Sorokin and Townsend.
| [
{
"created": "Tue, 21 Jun 2022 16:38:26 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2022 18:02:36 GMT",
"version": "v2"
},
{
"created": "Thu, 29 Sep 2022 16:54:20 GMT",
"version": "v3"
},
{
"created": "Sun, 13 Nov 2022 10:42:12 GMT",
"version": "v4"
}
] | 2022-11-23 | [
[
"Ferko",
"Christian",
""
],
[
"Sfondrini",
"Alessandro",
""
],
[
"Smith",
"Liam",
""
],
[
"Tartaglino-Mazzucchelli",
"Gabriele",
""
]
] | In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-$T \overline{T}$. For a conformal field theory, the operator coincides with the square-root of the $T \overline{T}$ operator. More generally, the operator is defined so that classically it is marginal and generates a flow which commutes with the $T \overline{T}$-flow. Intriguingly, the Root-$T \overline{T}$ flow is closely related to the ModMax theory recently constructed by Bandos, Lechner, Sorokin and Townsend. |
hep-th/0507099 | Luca Martucci | Luca Martucci and Paul Smyth | Supersymmetric D-branes and calibrations on general N=1 backgrounds | 23 pages. Some improvements and clarifications, typos corrected and
references added. v3: Version published in JHEP | JHEP0511:048,2005 | 10.1088/1126-6708/2005/11/048 | KUL-TF-05/16, Imperial/TP/050701 | hep-th | null | We study the conditions to have supersymmetric D-branes on general {\cal N}=1
backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms
of the two pure spinors associated to the SU(3)\times SU(3) structure on
T_M\oplus T^\star_M, and can be split into two parts each involving a different
pure spinor. The first involves the integrable pure spinor and requires the
D-brane to wrap a generalised complex submanifold with respect to the
generalised complex structure associated to it. The second contains the
non-integrable pure spinor and is related to the stability of the brane. The
two conditions can be rephrased as a generalised calibration condition for the
brane. The results preserve the generalised mirror symmetry relating the type
IIA and IIB backgrounds considered, giving further evidence for this duality.
| [
{
"created": "Mon, 11 Jul 2005 17:19:40 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Aug 2005 14:35:54 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Jan 2006 13:23:48 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Martucci",
"Luca",
""
],
[
"Smyth",
"Paul",
""
]
] | We study the conditions to have supersymmetric D-branes on general {\cal N}=1 backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms of the two pure spinors associated to the SU(3)\times SU(3) structure on T_M\oplus T^\star_M, and can be split into two parts each involving a different pure spinor. The first involves the integrable pure spinor and requires the D-brane to wrap a generalised complex submanifold with respect to the generalised complex structure associated to it. The second contains the non-integrable pure spinor and is related to the stability of the brane. The two conditions can be rephrased as a generalised calibration condition for the brane. The results preserve the generalised mirror symmetry relating the type IIA and IIB backgrounds considered, giving further evidence for this duality. |
1312.2899 | Diego Chialva | Diego Chialva | High-energy physics and cosmological perturbations: observing new
physics at large scales | 7 pages. Prepared for the proceedings of the European Physical
Society Conference on High Energy Physics EPS-HEP2013, 18-24 July 2013,
Stockholm, Sweden | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Correlators of primordial perturbations could provide us with the signatures
of physics at earlier times/higher momentum scales than inflation. The
key-mechanisms are the interference and cumulation in time related to the
interplay of negative- and positive-frequency components of fields and energy
density generated by the high-momentum scale physics. Here, we discuss which
signatures are universal for such scenarios, and which ones instead would
distinguish the specific cases (for example modified initial states for
inflationary perturbations or modified dispersion relations). We also discuss
the scale dependence of the correlators in presence of these signatures,
especially for some scenarios, and how this could be interesting for
observations.
| [
{
"created": "Tue, 10 Dec 2013 17:59:25 GMT",
"version": "v1"
}
] | 2013-12-11 | [
[
"Chialva",
"Diego",
""
]
] | Correlators of primordial perturbations could provide us with the signatures of physics at earlier times/higher momentum scales than inflation. The key-mechanisms are the interference and cumulation in time related to the interplay of negative- and positive-frequency components of fields and energy density generated by the high-momentum scale physics. Here, we discuss which signatures are universal for such scenarios, and which ones instead would distinguish the specific cases (for example modified initial states for inflationary perturbations or modified dispersion relations). We also discuss the scale dependence of the correlators in presence of these signatures, especially for some scenarios, and how this could be interesting for observations. |
hep-th/9803064 | Edward Teo | Edward Teo | Statistical entropy of charged two-dimensional black holes | 11 pages, harvmac. Two references added. To be published in Phys.
Lett. B | Phys.Lett. B430 (1998) 57-62 | 10.1016/S0370-2693(98)00498-5 | DAMTP R98/13 | hep-th | null | The statistical entropy of a five-dimensional black hole in Type II string
theory was recently derived by showing that it is U-dual to the
three-dimensional Banados-Teitelboim-Zanelli black hole, and using Carlip's
method to count the microstates of the latter. This is valid even for the
non-extremal case, unlike the derivation which relies on D-brane techniques. In
this letter, I shall exploit the U-duality that exists between the
five-dimensional black hole and the two-dimensional charged black hole of
McGuigan, Nappi and Yost, to microscopically compute the entropy of the latter.
It is shown that this result agrees with previous calculations using
thermodynamic arguments.
| [
{
"created": "Sun, 8 Mar 1998 14:44:13 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 1998 20:20:02 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Teo",
"Edward",
""
]
] | The statistical entropy of a five-dimensional black hole in Type II string theory was recently derived by showing that it is U-dual to the three-dimensional Banados-Teitelboim-Zanelli black hole, and using Carlip's method to count the microstates of the latter. This is valid even for the non-extremal case, unlike the derivation which relies on D-brane techniques. In this letter, I shall exploit the U-duality that exists between the five-dimensional black hole and the two-dimensional charged black hole of McGuigan, Nappi and Yost, to microscopically compute the entropy of the latter. It is shown that this result agrees with previous calculations using thermodynamic arguments. |
hep-th/9506080 | Geoffrey Dixon | Geoffrey Dixon | OCTONIONS: INVARIANT LEECH LATTICE EXPOSED | 5 pages, latex, no figures | null | null | BRX TH-375 | hep-th | null | The structure of a previously developed representation of the Leech lattice,
$\Lambda_{24}$, is exposed to further light with this unified and very simple
construction.
| [
{
"created": "Mon, 12 Jun 1995 14:34:47 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Dixon",
"Geoffrey",
""
]
] | The structure of a previously developed representation of the Leech lattice, $\Lambda_{24}$, is exposed to further light with this unified and very simple construction. |
1406.4930 | Ming Zhang | Ming Zhang, Zhan-Ying Yang, Rui-Hong Yue | Spontaneous emission of a two-level static atom coupling with the
electromagnetic vacuum fluctuations outside a high-dimensional Einstein
Gauss-Bonnet black hole | arXiv admin note: text overlap with arXiv:1203.5867 by other authors | null | 10.1088/0256-307X/31/10/100401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In present paper, by using the generalized DDC formalism, we investigate the
spontaneous excitation of an static atom interacting with electromagnetic
vacuum fluctuations outside a EGB black hole in $d$-dimensions. We find that
spontaneous excitation does not occur in Boulware vacuum. The Gauss-Bonnet term
has no effect on the stability of the atom. Finally, we discuss the
contribution of the coupling constant and dimensional factor to the results in
three different kinds of spacetime.
| [
{
"created": "Thu, 19 Jun 2014 01:57:38 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jul 2014 06:19:22 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Zhang",
"Ming",
""
],
[
"Yang",
"Zhan-Ying",
""
],
[
"Yue",
"Rui-Hong",
""
]
] | In present paper, by using the generalized DDC formalism, we investigate the spontaneous excitation of an static atom interacting with electromagnetic vacuum fluctuations outside a EGB black hole in $d$-dimensions. We find that spontaneous excitation does not occur in Boulware vacuum. The Gauss-Bonnet term has no effect on the stability of the atom. Finally, we discuss the contribution of the coupling constant and dimensional factor to the results in three different kinds of spacetime. |
hep-th/9305061 | Nobuyuki Ishibashi | Nobuyuki Ishibashi | 2D String Theory Coupled to Quantum Gravity | 12 pages, LaTex, KEK-TH-361 | Phys.Lett. B312 (1993) 411-416 | 10.1016/0370-2693(93)90976-O | null | hep-th | null | We consider self-avoiding Nambu-Goto open strings on a random surface. We
have shown that the partition function of such a string theory can be
calculated exactly. The string susceptibility for the disk is evaluated to be
$-\frac{1}{2}$. We also consider modifications of the Nambu-Goto action which
are exactly soluble on a random surface.
| [
{
"created": "Fri, 14 May 1993 08:05:03 GMT",
"version": "v1"
},
{
"created": "Tue, 18 May 1993 05:38:50 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Ishibashi",
"Nobuyuki",
""
]
] | We consider self-avoiding Nambu-Goto open strings on a random surface. We have shown that the partition function of such a string theory can be calculated exactly. The string susceptibility for the disk is evaluated to be $-\frac{1}{2}$. We also consider modifications of the Nambu-Goto action which are exactly soluble on a random surface. |
2304.06740 | Jose' P. S. Lemos | Jos\'e P. S. Lemos, O. B. Zaslavskii | Black holes and hot shells in the Euclidean path integral approach to
quantum gravity | 26 pages, 2 figures | Classical Quantum Gravity 40, 235012 (2023) | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a spherical black hole surrounded by a hot self-gravitating thin
shell in the canonical ensemble, i.e., a black hole and a hot shell inside a
heat reservoir acting as a boundary with its area and temperature fixed. To
work out the quantum partition function, from which the thermodynamics of the
system follows, we use the Euclidean path integral approach to quantum gravity
that identifies the path integral of the gravitational system with the
partition function. In a semiclassical approximation, one needs only to compute
the classical action of the system. Then, one finds that the total entropy,
i.e., the sum of black hole and matter entropies, is a function of the
gravitational radius of the system alone. So, the black hole inside the shell
has no direct influence on the entropy. One also finds the free energy, the
thermodynamic energy, and the temperature stratification. The reservoir
temperature is composed of a free function of the gravitational radius of the
system divided by the redshift. Upon specification of the reduced temperature
free function, the solutions for the gravitational radii compatible with the
data are found. The black hole inside has two possible horizon radii. It is
shown that there is a first law of thermodynamics for the system, another for
the hot shell, and yet another for the black hole. A thermodynamic stability
analysis is performed. By specifying for the free function the Hawking
temperature for the gravitational radius of the system, which is not a black
hole, one finds a remarkable exact thermodynamic solution. With it one
establishes that pure black holes, hot shells with a black hole, pure hot
shells, and hot flat spaces are phases that cohabit in the ensemble, with some
acting as thermodynamic mimickers. This exact solution is a model to situations
involving black holes and hot gravitons. The high temperature limits reveal
important aspects.
| [
{
"created": "Thu, 13 Apr 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-11-07 | [
[
"Lemos",
"José P. S.",
""
],
[
"Zaslavskii",
"O. B.",
""
]
] | We study a spherical black hole surrounded by a hot self-gravitating thin shell in the canonical ensemble, i.e., a black hole and a hot shell inside a heat reservoir acting as a boundary with its area and temperature fixed. To work out the quantum partition function, from which the thermodynamics of the system follows, we use the Euclidean path integral approach to quantum gravity that identifies the path integral of the gravitational system with the partition function. In a semiclassical approximation, one needs only to compute the classical action of the system. Then, one finds that the total entropy, i.e., the sum of black hole and matter entropies, is a function of the gravitational radius of the system alone. So, the black hole inside the shell has no direct influence on the entropy. One also finds the free energy, the thermodynamic energy, and the temperature stratification. The reservoir temperature is composed of a free function of the gravitational radius of the system divided by the redshift. Upon specification of the reduced temperature free function, the solutions for the gravitational radii compatible with the data are found. The black hole inside has two possible horizon radii. It is shown that there is a first law of thermodynamics for the system, another for the hot shell, and yet another for the black hole. A thermodynamic stability analysis is performed. By specifying for the free function the Hawking temperature for the gravitational radius of the system, which is not a black hole, one finds a remarkable exact thermodynamic solution. With it one establishes that pure black holes, hot shells with a black hole, pure hot shells, and hot flat spaces are phases that cohabit in the ensemble, with some acting as thermodynamic mimickers. This exact solution is a model to situations involving black holes and hot gravitons. The high temperature limits reveal important aspects. |
hep-th/9811215 | Gesualdo Delfino | G. Delfino | Off-critical correlations in the Ashkin-Teller model | 8 pages, latex | Phys.Lett. B450 (1999) 196-201 | 10.1016/S0370-2693(99)00123-9 | null | hep-th cond-mat | null | We use the exact scattering description of the scaling Ashkin-Teller model in
two dimensions to compute the two-particle form factors of the relevant
operators. These provide an approximation for the correlation functions whose
accuracy is tested against exact sum rules.
| [
{
"created": "Wed, 25 Nov 1998 09:36:14 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Delfino",
"G.",
""
]
] | We use the exact scattering description of the scaling Ashkin-Teller model in two dimensions to compute the two-particle form factors of the relevant operators. These provide an approximation for the correlation functions whose accuracy is tested against exact sum rules. |
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