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/9810099 | Bogdan Morariu | Daniel Brace, Bogdan Morariu, Bruno Zumino | Dualities of the Matrix Model from T-Duality of the Type II String | 37 pages, LaTeX, no figures, typos corrected | Nucl.Phys. B545 (1999) 192-216 | 10.1016/S0550-3213(99)00009-7 | LBNL-42383 | hep-th | null | We investigate in the Matrix theory framework, the subgroup of dualities of
the DLCQ of M-theory compactified on three-tori, which corresponds to T-duality
in the auxiliary Type II string theory. We show how these dualities are
realized in the supersymmetric Yang-Mills gauge theories on dual noncommutative
three-tori.
| [
{
"created": "Wed, 14 Oct 1998 23:22:37 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 1999 23:55:00 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Brace",
"Daniel",
""
],
[
"Morariu",
"Bogdan",
""
],
[
"Zumino",
"Bruno",
""
]
] | We investigate in the Matrix theory framework, the subgroup of dualities of the DLCQ of M-theory compactified on three-tori, which corresponds to T-duality in the auxiliary Type II string theory. We show how these dualities are realized in the supersymmetric Yang-Mills gauge theories on dual noncommutative three-tori. |
hep-th/9905183 | Marco Serone | R. Helling, J. Plefka, M. Serone and A. Waldron | Three Graviton Scattering in M-Theory | 21 pages, LaTeX, axodraw.sty | Nucl.Phys. B559 (1999) 184-204 | 10.1016/S0550-3213(99)00451-4 | AEI-112, UvA-WINS-Wisk-99-09, NIKHEF 99-014 | hep-th | null | The leading eikonal S-matrix for three graviton scattering in d=11
supergravity and Matrix Theory are shown to precisely agree. The result unifies
the source-probe plus recoil approach of Okawa and Yoneya and relaxes the
restriction imposed by those authors that all D-particle impact parameters and
velocities are mutually perpendicular. Furthermore, the unified S-matrix
approach facilitates a clean-cut study of M-theoretic R^4 curvature corrections
to the low energy supergravity effective action. In particular, the leading R^4
correction to the three graviton S-matrix is computed and compared to the
corresponding next to leading order two loop U(3) amplitude in Matrix Theory.
We find a clear disagreement of the two resulting tensor structures.
| [
{
"created": "Tue, 25 May 1999 15:01:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Helling",
"R.",
""
],
[
"Plefka",
"J.",
""
],
[
"Serone",
"M.",
""
],
[
"Waldron",
"A.",
""
]
] | The leading eikonal S-matrix for three graviton scattering in d=11 supergravity and Matrix Theory are shown to precisely agree. The result unifies the source-probe plus recoil approach of Okawa and Yoneya and relaxes the restriction imposed by those authors that all D-particle impact parameters and velocities are mutually perpendicular. Furthermore, the unified S-matrix approach facilitates a clean-cut study of M-theoretic R^4 curvature corrections to the low energy supergravity effective action. In particular, the leading R^4 correction to the three graviton S-matrix is computed and compared to the corresponding next to leading order two loop U(3) amplitude in Matrix Theory. We find a clear disagreement of the two resulting tensor structures. |
1303.1756 | Laura Andrianopoli Dr | Laura Andrianopoli, Riccardo D'Auria, Antonio Gallerati and Mario
Trigiante | Extremal Limits of Rotating Black Holes | Typos corrected, version published in JHEP | null | 10.1007/JHEP05(2013)071 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider non-extremal, stationary, axion-dilaton solutions to ungauged
symmetric supergravity models, obtained by Harrison transformations of the
non-extremal Kerr solution. We define a general algebraic procedure, which can
be viewed as an Inonu-Wigner contraction of the Noether charge matrix
associated with the effective D=3 sigma-model description of the solution,
yielding, through different singular limits, the known BPS and non-BPS extremal
black holes (which include the under-rotating non-BPS one). The non-extremal
black hole can thus be thought of as "interpolating" among these
limit-solutions. The algebraic procedure that we define generalizes the known
Rasheed-Larsen limit which yielded, in the Kaluza-Klein theory, the first
instance of under-rotating extremal solution. As an example of our general
result, we discuss in detail the non-extremal solution in the T^3-model, with
either (q_0, p^1) or (p^0, q_1) charges switched on, and its singular limits.
Such solutions, computed in D=3 through the solution-generating technique, is
completely described in terms of D=4 fields, which include the fully integrated
vector fields.
| [
{
"created": "Thu, 7 Mar 2013 17:23:52 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2013 17:56:21 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Andrianopoli",
"Laura",
""
],
[
"D'Auria",
"Riccardo",
""
],
[
"Gallerati",
"Antonio",
""
],
[
"Trigiante",
"Mario",
""
]
] | We consider non-extremal, stationary, axion-dilaton solutions to ungauged symmetric supergravity models, obtained by Harrison transformations of the non-extremal Kerr solution. We define a general algebraic procedure, which can be viewed as an Inonu-Wigner contraction of the Noether charge matrix associated with the effective D=3 sigma-model description of the solution, yielding, through different singular limits, the known BPS and non-BPS extremal black holes (which include the under-rotating non-BPS one). The non-extremal black hole can thus be thought of as "interpolating" among these limit-solutions. The algebraic procedure that we define generalizes the known Rasheed-Larsen limit which yielded, in the Kaluza-Klein theory, the first instance of under-rotating extremal solution. As an example of our general result, we discuss in detail the non-extremal solution in the T^3-model, with either (q_0, p^1) or (p^0, q_1) charges switched on, and its singular limits. Such solutions, computed in D=3 through the solution-generating technique, is completely described in terms of D=4 fields, which include the fully integrated vector fields. |
2305.10422 | Azeem Hasan | Vladimir Bashmakov, Michele Del Zotto, and Azeem Hasan | Four-manifolds and Symmetry Categories of 2d CFTs | Comments are very much welcome | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper we study the geometric origin of non-invertible symmetries of
2d theories arising from the reduction of 6d $(2,0)$ theories on
four-manifolds. This generalizes and extends our previous results in the
context of class $\mathcal S$ theories to a wider realm of models. In
particular, we find that relative 2d field theories, such as the chiral boson,
have a higher dimensional origin in four-manifolds that are not null cobordant.
Moreover, we see that for the 2d theories with a 6d origin, the non-invertible
symmetries have a geometric origin as a sum over topologies from the
perspective of the 7d symmetry TFT. In particular, we show that the
Tambara-Yamagami non-invertible symmetries $TY(\mathbb Z_N)$ can be given a
geometric origin of this kind. We focus on examples that do not depend on spin
structures, but we analyse the simplest of such cases, finding an interesting
parallel between the extra choices arising in that context and symmetry
fractionalization in Maxwell theories.
| [
{
"created": "Wed, 17 May 2023 17:56:41 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2024 10:54:20 GMT",
"version": "v2"
}
] | 2024-01-12 | [
[
"Bashmakov",
"Vladimir",
""
],
[
"Del Zotto",
"Michele",
""
],
[
"Hasan",
"Azeem",
""
]
] | In this paper we study the geometric origin of non-invertible symmetries of 2d theories arising from the reduction of 6d $(2,0)$ theories on four-manifolds. This generalizes and extends our previous results in the context of class $\mathcal S$ theories to a wider realm of models. In particular, we find that relative 2d field theories, such as the chiral boson, have a higher dimensional origin in four-manifolds that are not null cobordant. Moreover, we see that for the 2d theories with a 6d origin, the non-invertible symmetries have a geometric origin as a sum over topologies from the perspective of the 7d symmetry TFT. In particular, we show that the Tambara-Yamagami non-invertible symmetries $TY(\mathbb Z_N)$ can be given a geometric origin of this kind. We focus on examples that do not depend on spin structures, but we analyse the simplest of such cases, finding an interesting parallel between the extra choices arising in that context and symmetry fractionalization in Maxwell theories. |
0704.3464 | Robert Shrock | Robert Shrock | Constraints on $N_c$ in Extensions of the Standard Model | 4 pages, revtex | Phys.Rev.D76:055010,2007 | 10.1103/PhysRevD.76.055010 | YITP-SB-07-16 | hep-th hep-ph | null | We consider a class of theories involving an extension of the Standard Model
gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive
constraints on $N_c$. One motivation for this is the string theory landscape.
For two natural classes of embeddings of this $N_c$-extended Standard Model in
a supersymmetric grand unified theory, we show that requiring unbroken
electromagnetic gauge invariance, asymptotic freedom of color, and three
generations of quarks and leptons forces one to choose $N_c=3$. Similarly, we
show that for a theory combining the $N_c$-extended Standard Model with a
one-family SU(2)$_{TC}$ technicolor theory, only the value $N_c=3$ is allowed.
| [
{
"created": "Thu, 26 Apr 2007 02:03:55 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Shrock",
"Robert",
""
]
] | We consider a class of theories involving an extension of the Standard Model gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive constraints on $N_c$. One motivation for this is the string theory landscape. For two natural classes of embeddings of this $N_c$-extended Standard Model in a supersymmetric grand unified theory, we show that requiring unbroken electromagnetic gauge invariance, asymptotic freedom of color, and three generations of quarks and leptons forces one to choose $N_c=3$. Similarly, we show that for a theory combining the $N_c$-extended Standard Model with a one-family SU(2)$_{TC}$ technicolor theory, only the value $N_c=3$ is allowed. |
1906.02447 | Alexey Loginov | A. Yu. Loginov and V. V. Gauzshtein | One-dimensional soliton system of gauged kink and Q-ball | 15 pages, 7 figures | Eur. Phys. J. C 79, 780 (2019) | 10.1140/epjc/s10052-019-7302-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present paper, we consider a $\left(1 + 1\right)$-dimensional gauge
model consisting of two complex scalar fields interacting with each other
through an Abelian gauge field. When the model's gauge coupling constants are
set equal to zero, the model possesses non-gauged Q-ball and kink solutions
that do not interact with each other. It is shown that at nonzero gauge
coupling constants, the model possesses the soliton solution describing the
system consisting of interacting Q-ball and kink components. The kink and
Q-ball components of the kink-Q-ball system have opposite electric charges, so
the total electric charge of the kink-Q-ball system vanishes. Properties of the
kink-Q-ball system are researched analytically and numerically. In particular,
it was found that the kink-Q-ball system possesses a nonzero electric field and
is unstable with respect to small perturbations of fields.
| [
{
"created": "Thu, 6 Jun 2019 07:15:46 GMT",
"version": "v1"
}
] | 2020-09-29 | [
[
"Loginov",
"A. Yu.",
""
],
[
"Gauzshtein",
"V. V.",
""
]
] | In the present paper, we consider a $\left(1 + 1\right)$-dimensional gauge model consisting of two complex scalar fields interacting with each other through an Abelian gauge field. When the model's gauge coupling constants are set equal to zero, the model possesses non-gauged Q-ball and kink solutions that do not interact with each other. It is shown that at nonzero gauge coupling constants, the model possesses the soliton solution describing the system consisting of interacting Q-ball and kink components. The kink and Q-ball components of the kink-Q-ball system have opposite electric charges, so the total electric charge of the kink-Q-ball system vanishes. Properties of the kink-Q-ball system are researched analytically and numerically. In particular, it was found that the kink-Q-ball system possesses a nonzero electric field and is unstable with respect to small perturbations of fields. |
hep-th/0002148 | Gernot Akemann | G. Akemann and G. Vernizzi | Macroscopic and Microscopic (Non-)Universality of Compact Support Random
Matrix Theory | LaTeX, 24 pages; Intro extended, 3 Refs added and typos corrected, to
appear in NPB | Nucl.Phys. B583 (2000) 739-757 | 10.1016/S0550-3213(00)00325-4 | NBI-HE-00-10 | hep-th cond-mat | null | A random matrix model with a sigma-model like constraint, the restricted
trace ensemble (RTE), is solved in the large-n limit. In the macroscopic limit
the smooth connected two-point resolvent G(z,w) is found to be non-universal,
extending previous results from monomial to arbitrary polynomial potentials.
Using loop equation techniques we give a closed though non-universal expression
for G(z,w), which extends recursively to all higher k-point resolvents. These
findings are in contrast to the usual unconstrained one-matrix model. However,
in the microscopic large-n limit, which probes only correlations at distance of
the mean level spacing, we are able to show that the constraint does not modify
the universal sine-law. In the case of monomial potentials $V(M)=M^{2p}$, we
provide a relation valid for finite-n between the k-point correlation function
of the RTE and the unconstrained model. In the microscopic large-n limit they
coincide which proves the microscopic universality of RTEs.
| [
{
"created": "Thu, 17 Feb 2000 17:34:29 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2000 10:06:13 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Akemann",
"G.",
""
],
[
"Vernizzi",
"G.",
""
]
] | A random matrix model with a sigma-model like constraint, the restricted trace ensemble (RTE), is solved in the large-n limit. In the macroscopic limit the smooth connected two-point resolvent G(z,w) is found to be non-universal, extending previous results from monomial to arbitrary polynomial potentials. Using loop equation techniques we give a closed though non-universal expression for G(z,w), which extends recursively to all higher k-point resolvents. These findings are in contrast to the usual unconstrained one-matrix model. However, in the microscopic large-n limit, which probes only correlations at distance of the mean level spacing, we are able to show that the constraint does not modify the universal sine-law. In the case of monomial potentials $V(M)=M^{2p}$, we provide a relation valid for finite-n between the k-point correlation function of the RTE and the unconstrained model. In the microscopic large-n limit they coincide which proves the microscopic universality of RTEs. |
2101.02670 | Antoine Pasternak | Eduardo Garc\'ia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo
Tatitscheff | Dimers in a Bottle | 42 pages, 42 figures and 1 Tikz drawing | null | 10.1007/JHEP04(2021)274 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit D3-branes at toric CY$_3$ singularities with orientifolds and
their description in terms of dimer models. We classify orientifold actions on
the dimer through smooth involutions of the torus. In particular, we describe
new orientifold projections related to maps on the dimer without fixed points,
leading to Klein bottles. These new orientifolds lead to novel $\mathcal{N}=1$
SCFT's that resemble, in many aspects, non-orientifolded theories. For
instance, we recover the presence of fractional branes and some of them trigger
a cascading RG-flow \`a la Klebanov-Strassler. The remaining involutions lead
to non-supersymmetric setups, thus exhausting the possible orientifolds on
dimers.
| [
{
"created": "Thu, 7 Jan 2021 18:27:06 GMT",
"version": "v1"
}
] | 2021-05-12 | [
[
"García-Valdecasas",
"Eduardo",
""
],
[
"Meynet",
"Shani",
""
],
[
"Pasternak",
"Antoine",
""
],
[
"Tatitscheff",
"Valdo",
""
]
] | We revisit D3-branes at toric CY$_3$ singularities with orientifolds and their description in terms of dimer models. We classify orientifold actions on the dimer through smooth involutions of the torus. In particular, we describe new orientifold projections related to maps on the dimer without fixed points, leading to Klein bottles. These new orientifolds lead to novel $\mathcal{N}=1$ SCFT's that resemble, in many aspects, non-orientifolded theories. For instance, we recover the presence of fractional branes and some of them trigger a cascading RG-flow \`a la Klebanov-Strassler. The remaining involutions lead to non-supersymmetric setups, thus exhausting the possible orientifolds on dimers. |
hep-th/0312092 | Saharian | Aram A. Saharian | Wightman function and Casimir densities on AdS bulk with application to
the Randall-Sundrum braneworld | 26 pages, 6 figures, discussions and figure labels added, accepted
for publication in Nuclear Physics B | Nucl.Phys. B712 (2005) 196-228 | 10.1016/j.nuclphysb.2005.01.033 | null | hep-th astro-ph gr-qc quant-ph | null | Positive frequency Wightman function and vacuum expectation value of the
energy-momentum tensor are computed for a massive scalar field with general
curvature coupling parameter subject to Robin boundary conditions on two
parallel plates located on $D+1$ - dimensional AdS background. The general case
of different Robin coefficients on separate plates is considered. The mode
summation method is used with a combination of a variant of the generalized
Abel-Plana formula for the series over zeros of combinations of cylinder
functions. This allows us to extract manifestly the parts due to the AdS
spacetime without boundaries and boundary induced parts. The asymptotic
behavior of the vacuum densities near the plates and at large distances is
investigated. The vacuum forces acting on the boundaries are presented as a sum
of the self-action and interaction forces. The first one contains well-known
surface divergences and needs further regularization. The interaction forces
between the plates are attractive for Dirichlet scalar. We show that threre is
a region in the space of parameters defining the boundary conditions in which
the interaction forces are repulsive for small distances and attractive for
large distances. An application to the Randall-Sundrum braneworld with
arbitrary mass terms on the branes is discussed.
| [
{
"created": "Tue, 9 Dec 2003 15:54:40 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2005 13:10:13 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Saharian",
"Aram A.",
""
]
] | Positive frequency Wightman function and vacuum expectation value of the energy-momentum tensor are computed for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two parallel plates located on $D+1$ - dimensional AdS background. The general case of different Robin coefficients on separate plates is considered. The mode summation method is used with a combination of a variant of the generalized Abel-Plana formula for the series over zeros of combinations of cylinder functions. This allows us to extract manifestly the parts due to the AdS spacetime without boundaries and boundary induced parts. The asymptotic behavior of the vacuum densities near the plates and at large distances is investigated. The vacuum forces acting on the boundaries are presented as a sum of the self-action and interaction forces. The first one contains well-known surface divergences and needs further regularization. The interaction forces between the plates are attractive for Dirichlet scalar. We show that threre is a region in the space of parameters defining the boundary conditions in which the interaction forces are repulsive for small distances and attractive for large distances. An application to the Randall-Sundrum braneworld with arbitrary mass terms on the branes is discussed. |
1812.01080 | Tomasz Taylor | Stephan Stieberger and Tomasz R. Taylor | Symmetries of Celestial Amplitudes | v2: Appendix added with examples. 7 pages | null | 10.1016/j.physletb.2019.03.063 | MPP-2018-292 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Celestial amplitudes provide holographic imprints of four-dimensional
scattering processes in terms of conformal correlation functions on a
two-dimensional sphere describing Minkowski space at null infinity. We
construct the generators of Poincare and conformal groups in the celestial
representation and discuss how these symmetries are manifest in the amplitudes.
| [
{
"created": "Mon, 3 Dec 2018 21:04:32 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2019 00:57:54 GMT",
"version": "v2"
}
] | 2019-05-22 | [
[
"Stieberger",
"Stephan",
""
],
[
"Taylor",
"Tomasz R.",
""
]
] | Celestial amplitudes provide holographic imprints of four-dimensional scattering processes in terms of conformal correlation functions on a two-dimensional sphere describing Minkowski space at null infinity. We construct the generators of Poincare and conformal groups in the celestial representation and discuss how these symmetries are manifest in the amplitudes. |
hep-th/0105281 | Clovis Wotzasek | C. Neves and C. Wotzasek | Hidden Symmetry of a Fluid Dynamical Model | RevteX file, 9 pages | null | null | null | hep-th | null | A connection between solutions of the relativistic d-brane system in (d+1)
dimensions with the solutions of a Galileo invariant fluid in d-dimensions is
by now well established. However, the physical nature of the light-cone gauge
description of a relativistic membrane changes after the reduction to the fluid
dynamical model since the gauge symmetry is lost. In this work we argue that
the original gauge symmetry present in a relativistic d-brane system can be
recovered after the reduction process to a d-dimensional fluid model. To this
end we propose, without introducing Wess-Zumino fields, a gauge invariant
theory of isentropic fluid dynamics and show that this symmetry corresponds to
the invariance under local translation of the velocity potential in the fluid
dynamics picture. We show that different but equivalent choices of the
sympletic sector lead to distinct representations of the embedded gauge
algebra.
| [
{
"created": "Mon, 28 May 2001 19:20:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Neves",
"C.",
""
],
[
"Wotzasek",
"C.",
""
]
] | A connection between solutions of the relativistic d-brane system in (d+1) dimensions with the solutions of a Galileo invariant fluid in d-dimensions is by now well established. However, the physical nature of the light-cone gauge description of a relativistic membrane changes after the reduction to the fluid dynamical model since the gauge symmetry is lost. In this work we argue that the original gauge symmetry present in a relativistic d-brane system can be recovered after the reduction process to a d-dimensional fluid model. To this end we propose, without introducing Wess-Zumino fields, a gauge invariant theory of isentropic fluid dynamics and show that this symmetry corresponds to the invariance under local translation of the velocity potential in the fluid dynamics picture. We show that different but equivalent choices of the sympletic sector lead to distinct representations of the embedded gauge algebra. |
1611.09883 | Felix Karbstein | Felix Karbstein | The quantum vacuum in electromagnetic fields: From the Heisenberg-Euler
effective action to vacuum birefringence | 14 pages, 6 figures; Lectures given at the Helmholtz International
Summer School (HISS) - Dubna International Advanced School of Theoretical
Physics (DIAS-TH): "Quantum Field Theory at the Limits: from Strong Fields to
Heavy Quarks", July 2016 | null | 10.3204/DESY-PROC-2016-04 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The focus of these lectures is on the quantum vacuum subjected to classical
electromagnetic fields. To this end we explicitly derive the renowned
Heisenberg-Euler effective action in constant electromagnetic fields in a
rather pedagogical and easy to conceive way. As an application, we use it to
study vacuum birefringence constituting one of the most promising optical
signatures of quantum vacuum nonlinearity.
| [
{
"created": "Wed, 23 Nov 2016 20:04:40 GMT",
"version": "v1"
}
] | 2016-12-02 | [
[
"Karbstein",
"Felix",
""
]
] | The focus of these lectures is on the quantum vacuum subjected to classical electromagnetic fields. To this end we explicitly derive the renowned Heisenberg-Euler effective action in constant electromagnetic fields in a rather pedagogical and easy to conceive way. As an application, we use it to study vacuum birefringence constituting one of the most promising optical signatures of quantum vacuum nonlinearity. |
2307.04233 | Sergio Ernesto Aguilar Gutierrez | Sergio E. Aguilar-Gutierrez and Eyoab Bahiru and Ricardo Esp\'indola | The centaur-algebra of observables | 17 pages. Published version in JHEP | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This letter explores a transition in the type of von Neumann algebra for
asymptotically AdS spacetimes from the implementations of the different
gravitational constraints. We denote it as the \emph{centaur-algebra} of
observables. In the first part of the letter, we employ a class of flow
geometries interpolating between AdS$_2$ and dS$_2$ spaces, the centaur
geometries. We study the type II$_\infty$ crossed product algebra describing
the semiclassical gravitational theory, and we explore the algebra of bounded
sub-regions in the bulk theory following $T\overline{T}$ deformations of the
geometry and study the gravitational constraints with respect to the
quasi-local Brown-York energy of the system at a finite cutoff. In the second
part, we study arbitrary asymptotically AdS spacetimes, where we implement the
boundary protocol of an infalling observer modeled as a probe black hole
proposed by arXiv:2211.16512 to study modifications in the algebra. In both
situations, we show how incorporating the constraints requires a type II$_1$
description.
| [
{
"created": "Sun, 9 Jul 2023 17:24:12 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2023 15:24:54 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Sep 2023 07:59:57 GMT",
"version": "v3"
},
{
"created": "Wed, 3 Jan 2024 11:50:14 GMT",
"version": "v4"
},
{
"created": "Sat, 2 Mar 2024 10:11:36 GMT",
"version": "v5"
}
] | 2024-03-05 | [
[
"Aguilar-Gutierrez",
"Sergio E.",
""
],
[
"Bahiru",
"Eyoab",
""
],
[
"Espíndola",
"Ricardo",
""
]
] | This letter explores a transition in the type of von Neumann algebra for asymptotically AdS spacetimes from the implementations of the different gravitational constraints. We denote it as the \emph{centaur-algebra} of observables. In the first part of the letter, we employ a class of flow geometries interpolating between AdS$_2$ and dS$_2$ spaces, the centaur geometries. We study the type II$_\infty$ crossed product algebra describing the semiclassical gravitational theory, and we explore the algebra of bounded sub-regions in the bulk theory following $T\overline{T}$ deformations of the geometry and study the gravitational constraints with respect to the quasi-local Brown-York energy of the system at a finite cutoff. In the second part, we study arbitrary asymptotically AdS spacetimes, where we implement the boundary protocol of an infalling observer modeled as a probe black hole proposed by arXiv:2211.16512 to study modifications in the algebra. In both situations, we show how incorporating the constraints requires a type II$_1$ description. |
2210.15006 | Simon Lin | Chris Akers, Thomas Faulkner, Simon Lin and Pratik Rath | Reflected entropy in random tensor networks II: a topological index from
the canonical purification | 50 Pages + Appendices, 28 Figures. v2: typo fixed | null | 10.1007/JHEP01(2023)067 | null | hep-th gr-qc math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | In arXiv:2112.09122, we analyzed the reflected entropy ($S_R$) in random
tensor networks motivated by its proposed duality to the entanglement wedge
cross section (EW) in holographic theories, $S_R=2 \frac{EW}{4G}$. In this
paper, we discover further details of this duality by analyzing a simple
network consisting of a chain of two random tensors. This setup models a
multiboundary wormhole. We show that the reflected entanglement spectrum is
controlled by representation theory of the Temperley-Lieb (TL) algebra. In the
semiclassical limit motivated by holography, the spectrum takes the form of a
sum over superselection sectors associated to different irreducible
representations of the TL algebra and labelled by a topological index $k\in
\mathbb{Z}_{\geq 0}$. Each sector contributes to the reflected entropy an
amount $2k \frac{EW}{4G}$ weighted by its probability. We provide a
gravitational interpretation in terms of fixed-area, higher-genus multiboundary
wormholes with genus $2k-1$ initial value slices. These wormholes appear in the
gravitational description of the canonical purification. We confirm the
reflected entropy holographic duality away from phase transitions. We also find
important non-perturbative contributions from the novel geometries with $k\geq
2$ near phase transitions, resolving the discontinuous transition in $S_R$.
Along with analytic arguments, we provide numerical evidence for our results.
We comment on the connection between TL algebras, Type II$_1$ von Neumann
algebras and gravity.
| [
{
"created": "Wed, 26 Oct 2022 20:03:29 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2022 17:00:59 GMT",
"version": "v2"
}
] | 2023-02-01 | [
[
"Akers",
"Chris",
""
],
[
"Faulkner",
"Thomas",
""
],
[
"Lin",
"Simon",
""
],
[
"Rath",
"Pratik",
""
]
] | In arXiv:2112.09122, we analyzed the reflected entropy ($S_R$) in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holographic theories, $S_R=2 \frac{EW}{4G}$. In this paper, we discover further details of this duality by analyzing a simple network consisting of a chain of two random tensors. This setup models a multiboundary wormhole. We show that the reflected entanglement spectrum is controlled by representation theory of the Temperley-Lieb (TL) algebra. In the semiclassical limit motivated by holography, the spectrum takes the form of a sum over superselection sectors associated to different irreducible representations of the TL algebra and labelled by a topological index $k\in \mathbb{Z}_{\geq 0}$. Each sector contributes to the reflected entropy an amount $2k \frac{EW}{4G}$ weighted by its probability. We provide a gravitational interpretation in terms of fixed-area, higher-genus multiboundary wormholes with genus $2k-1$ initial value slices. These wormholes appear in the gravitational description of the canonical purification. We confirm the reflected entropy holographic duality away from phase transitions. We also find important non-perturbative contributions from the novel geometries with $k\geq 2$ near phase transitions, resolving the discontinuous transition in $S_R$. Along with analytic arguments, we provide numerical evidence for our results. We comment on the connection between TL algebras, Type II$_1$ von Neumann algebras and gravity. |
2311.10814 | Jaroslav Trnka | Nima Arkani-Hamed, Wojciech Flieger, Johannes M. Henn, Anders
Schreiber, Jaroslav Trnka | Coulomb Branch Amplitudes from a Deformed Amplituhedron Geometry | 6 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Amplituhedron provides, via geometric means, the all-loop integrand of
scattering amplitudes in maximally supersymmetric Yang-Mills theory.
Unfortunately, dimensional regularization, used conventionally for integration,
breaks the beautiful geometric picture. This motivates us to propose a
'deformed' Amplituhedron. Focusing on the four-particle amplitude, we introduce
two deformation parameters, which can be interpreted as particle masses. We
provide evidence that the mass pattern corresponds to a specific choice of
vacuum expectation values on the Coulomb branch. The deformed amplitude is
infrared finite, making the answer well-defined in four dimensions. Leveraging
four-dimensional integration techniques based on differential equations, we
compute the amplitude up to two loops. In the limit where the deformation
parameters are taken to zero, we recover the known Bern-Dixon-Smirnov
amplitude. In the limit where only one deformation parameter is taken to zero,
we find a connection to the angle-dependent cusp anomalous dimension.
| [
{
"created": "Fri, 17 Nov 2023 19:00:00 GMT",
"version": "v1"
}
] | 2023-11-21 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Flieger",
"Wojciech",
""
],
[
"Henn",
"Johannes M.",
""
],
[
"Schreiber",
"Anders",
""
],
[
"Trnka",
"Jaroslav",
""
]
] | The Amplituhedron provides, via geometric means, the all-loop integrand of scattering amplitudes in maximally supersymmetric Yang-Mills theory. Unfortunately, dimensional regularization, used conventionally for integration, breaks the beautiful geometric picture. This motivates us to propose a 'deformed' Amplituhedron. Focusing on the four-particle amplitude, we introduce two deformation parameters, which can be interpreted as particle masses. We provide evidence that the mass pattern corresponds to a specific choice of vacuum expectation values on the Coulomb branch. The deformed amplitude is infrared finite, making the answer well-defined in four dimensions. Leveraging four-dimensional integration techniques based on differential equations, we compute the amplitude up to two loops. In the limit where the deformation parameters are taken to zero, we recover the known Bern-Dixon-Smirnov amplitude. In the limit where only one deformation parameter is taken to zero, we find a connection to the angle-dependent cusp anomalous dimension. |
hep-th/0408232 | Miloslav Znojil | Miloslav Znojil | Relativistic supersymmetric quantum mechanics based on Klein-Gordon
equation | 20 pages | J.Phys.A37:9557-9572,2004 | 10.1088/0305-4470/37/40/016 | null | hep-th | null | Witten's non-relativistic formalism of supersymmetric quantum mechanics was
based on a factorization and partnership between Schroedinger equations. We
show how it accommodates a transition to the partnership between relativistic
Klein-Gordon equations. In such a class of models the requirement of
supersymmetry is shown to lead to a certain "exceptional-point" instability of
ground states.
| [
{
"created": "Mon, 30 Aug 2004 17:11:04 GMT",
"version": "v1"
}
] | 2011-08-11 | [
[
"Znojil",
"Miloslav",
""
]
] | Witten's non-relativistic formalism of supersymmetric quantum mechanics was based on a factorization and partnership between Schroedinger equations. We show how it accommodates a transition to the partnership between relativistic Klein-Gordon equations. In such a class of models the requirement of supersymmetry is shown to lead to a certain "exceptional-point" instability of ground states. |
2202.00354 | A. Yu. Petrov | F. S. Gama, R. V. Maluf, J. R. Nascimento, A. Yu. Petrov, P. J.
Porfirio | Dualization between supersymmetric self-dual and topologically massive
models coupled to matter in four-dimensional superspace | 18 pages, version accepted to PRD | Phys Rev. D105, 045023 (2022) | 10.1103/PhysRevD.105.045023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the superfield formalism and the master action approach, we prove, both
at the classical and quantum levels, the dual equivalence between
four-dimensional supersymmetric self-dual and topologically massive models
coupled to dynamical matter.
| [
{
"created": "Tue, 1 Feb 2022 11:49:18 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Feb 2022 22:48:58 GMT",
"version": "v2"
}
] | 2022-03-01 | [
[
"Gama",
"F. S.",
""
],
[
"Maluf",
"R. V.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfirio",
"P. J.",
""
]
] | Using the superfield formalism and the master action approach, we prove, both at the classical and quantum levels, the dual equivalence between four-dimensional supersymmetric self-dual and topologically massive models coupled to dynamical matter. |
hep-th/0107120 | Fernando T. Brandt | F. T. Brandt, Ashok Das and J. Frenkel | Induced parity violating thermal effective action for (2+1)-dimensional
fermions interacting with a non-Abelian background | 24 pages. Version to be published in Physical Review D with an added
appendix on the consequences of thermal gauge invariance | Phys.Rev. D65 (2002) 065013 | 10.1103/PhysRevD.65.065013 | null | hep-th hep-ph | null | We study the parity breaking effective action in 2+1 dimensions, generated,
at finite temperature, by massive fermions interacting with a non-Abelian gauge
background. We explicitly calculate, in the static limit, parity violating
amplitudes up to the seven point function, which allows us to determine the
corresponding effective actions. We derive the exact parity violating effective
action when $\vec{E}=0$. When $\vec{E}\neq 0$, there are families of terms that
can be determined order by order in perturbation theory. We attempt to
generalize our results to non-static backgrounds through the use of time
ordered exponentials and prove gauge invariance, both {\it small} and {\it
large}, of the resulting effective action. We also point out some open
questions that need to be further understood.
| [
{
"created": "Fri, 13 Jul 2001 15:02:50 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Nov 2001 01:57:38 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Brandt",
"F. T.",
""
],
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | We study the parity breaking effective action in 2+1 dimensions, generated, at finite temperature, by massive fermions interacting with a non-Abelian gauge background. We explicitly calculate, in the static limit, parity violating amplitudes up to the seven point function, which allows us to determine the corresponding effective actions. We derive the exact parity violating effective action when $\vec{E}=0$. When $\vec{E}\neq 0$, there are families of terms that can be determined order by order in perturbation theory. We attempt to generalize our results to non-static backgrounds through the use of time ordered exponentials and prove gauge invariance, both {\it small} and {\it large}, of the resulting effective action. We also point out some open questions that need to be further understood. |
hep-th/0410223 | Jerome Martin | Robert H. Brandenberger and Jerome Martin | Back-Reaction and the Trans-Planckian Problem of Inflation Revisited | 13 pages, 2 figures, RevTex | Phys.Rev. D71 (2005) 023504 | 10.1103/PhysRevD.71.023504 | null | hep-th astro-ph gr-qc hep-ph | null | It has recently been suggested that Planck scale physics may effect the
evolution of cosmological fluctuations in the early stages of cosmological
inflation in a non-trivial way, leading to an excited state for modes whose
wavelength is super-Planck but sub-Hubble. In this case, the issue of how this
excited state back-reacts on the background space-time arises. In fact, it has
been suggested that such back-reaction effects may lead to tight constraints on
the magnitude of possible deviations from the usual predictions of inflation.
In this note we discuss some subtle aspects of this back-reaction issue and
point out that rather than preventing inflation, the back-reaction of
ultraviolet fluctuations may simply lead to a renormalization of the
cosmological constant driving inflation.
| [
{
"created": "Fri, 22 Oct 2004 17:16:52 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Brandenberger",
"Robert H.",
""
],
[
"Martin",
"Jerome",
""
]
] | It has recently been suggested that Planck scale physics may effect the evolution of cosmological fluctuations in the early stages of cosmological inflation in a non-trivial way, leading to an excited state for modes whose wavelength is super-Planck but sub-Hubble. In this case, the issue of how this excited state back-reacts on the background space-time arises. In fact, it has been suggested that such back-reaction effects may lead to tight constraints on the magnitude of possible deviations from the usual predictions of inflation. In this note we discuss some subtle aspects of this back-reaction issue and point out that rather than preventing inflation, the back-reaction of ultraviolet fluctuations may simply lead to a renormalization of the cosmological constant driving inflation. |
0907.2375 | Jos\'e Roberto Vidal Madrid | Enrique \'Alvarez, Roberto Vidal | Eternity and the cosmological constant | 45 pages, 6 figures | JHEP 0910:045,2009 | 10.1088/1126-6708/2009/10/045 | DFT-UAM-09-010, IFT-UAM/CSIC-09-28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this paper is to analyze the stability of interacting matter
in the presence of a cosmological constant. Using an approach based on the heat
equation, no imaginary part is found for the effective potential in the
presence of a fixed background, which is the n-dimensional sphere or else an
analytical continuation thereof, which is explored in some detail.
| [
{
"created": "Tue, 14 Jul 2009 14:43:43 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2009 13:55:09 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Álvarez",
"Enrique",
""
],
[
"Vidal",
"Roberto",
""
]
] | The purpose of this paper is to analyze the stability of interacting matter in the presence of a cosmological constant. Using an approach based on the heat equation, no imaginary part is found for the effective potential in the presence of a fixed background, which is the n-dimensional sphere or else an analytical continuation thereof, which is explored in some detail. |
1103.3232 | James Murray | James M. Murray and Zlatko Tesanovic | Isolated Vortex and Vortex Lattice in a Holographic p-wave
Superconductor | 8 pages, 2 figures. Published version | Phys.Rev.D83:126011,2011 | 10.1103/PhysRevD.83.126011 | null | hep-th cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the holographic gauge-gravity duality, we find a solution for an
isolated vortex and a vortex lattice in a 2+1 dimensional p-wave
superconductor, which is described by the boundary theory dual to an SU(2)
gauge theory in 3+1 dimensional anti-de Sitter space. Both $p_x+ip_y$ and
$p_x-ip_y$ components of the superconducting order parameter, as well as the
effects of a magnetic field on these components, are considered. The isolated
vortex solution is studied, and it is found that the two order parameter
components have different amplitudes due to the time reversal symmetry
breaking. The vortex lattice for large magnetic fields is also studied, where
it is argued that only one order parameter component will be nonzero
sufficiently close to the upper critical field. The upper critical field
exhibits a characteristic upward curvature, reflecting the effects of
field-induced correlations captured by the holographic theory. The free energy
is calculated perturbatively in this region of the phase diagram, and it is
shown that the triangular vortex lattice is the thermodynamically preferred
solution.
| [
{
"created": "Wed, 16 Mar 2011 17:03:14 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2011 17:32:37 GMT",
"version": "v2"
}
] | 2011-07-08 | [
[
"Murray",
"James M.",
""
],
[
"Tesanovic",
"Zlatko",
""
]
] | Using the holographic gauge-gravity duality, we find a solution for an isolated vortex and a vortex lattice in a 2+1 dimensional p-wave superconductor, which is described by the boundary theory dual to an SU(2) gauge theory in 3+1 dimensional anti-de Sitter space. Both $p_x+ip_y$ and $p_x-ip_y$ components of the superconducting order parameter, as well as the effects of a magnetic field on these components, are considered. The isolated vortex solution is studied, and it is found that the two order parameter components have different amplitudes due to the time reversal symmetry breaking. The vortex lattice for large magnetic fields is also studied, where it is argued that only one order parameter component will be nonzero sufficiently close to the upper critical field. The upper critical field exhibits a characteristic upward curvature, reflecting the effects of field-induced correlations captured by the holographic theory. The free energy is calculated perturbatively in this region of the phase diagram, and it is shown that the triangular vortex lattice is the thermodynamically preferred solution. |
hep-th/9803044 | Kazumi Okuyama | Teruhiko Kawano and Kazumi Okuyama (Univ. of Tokyo) | Matrix Theory on Noncommutative Torus | 9 pages, harvmac, typos corrected, reference added | Phys.Lett. B433 (1998) 29-34 | 10.1016/S0370-2693(98)00714-X | UT-810 | hep-th | null | We consider the compactification of Matrix theory on tori with background
antisymmetric tensor field. Douglas and Hull have recently discussed how
noncommutative geometry appears on the tori. In this paper, we demonstrate the
concrete construction of this compactification of Matrix theory in a similar
way to that previously given by Taylor.
| [
{
"created": "Thu, 5 Mar 1998 13:30:12 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Mar 1998 08:59:51 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kawano",
"Teruhiko",
"",
"Univ. of Tokyo"
],
[
"Okuyama",
"Kazumi",
"",
"Univ. of Tokyo"
]
] | We consider the compactification of Matrix theory on tori with background antisymmetric tensor field. Douglas and Hull have recently discussed how noncommutative geometry appears on the tori. In this paper, we demonstrate the concrete construction of this compactification of Matrix theory in a similar way to that previously given by Taylor. |
2212.14488 | Weican Yang | Wei-Can Yang, Chuan-Yin Xia, Hua-Bi Zeng, Makoto Tsubota and Jan
Zaanen | Motion of a superfluid vortex according to holographic quantum
dissipation | 19 pages, 13 figures | null | 10.1103/PhysRevB.107.144511 | null | hep-th cond-mat.quant-gas cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Vortices are topological defects associated with superfluids and
superconductors, which, when mobile, dissipate energy destroying the
dissipation-less nature of the superfluid. The nature of this "quantum
dissipation" is rooted in the quantum physical nature of the problem, which has
been subject of an extensive literature. However, this has mostly be focused on
the measures applicable in weakly interacting systems wherein they are
tractable via conventional methods. Recently it became possible to address such
dynamical quantum thermalization problems in very strongly interacting systems
using the holographic duality discovered in string theory, mapping the quantum
problem on a gravitational problem in one higher dimension, having as benefit
offering a more general view on how dissipation emerges from such intricate
quantum physical circumstances. We study here the elementary problem of a
single vortex in two space dimensions, set in motion by a sudden quench in the
background superflow formed in a finite density "Reissner-Nordstrom"
holographic superconductor. This reveals a number of surprising outcomes
addressing questions of principle. By fitting the trajectories unambiguously to
the Hall-Vinen-Iordanskii phenomenological equation of motion we find that
these are characterized by a large inertial mass at low temperature that
however diminishes upon raising temperature. For a weak drive the drag is found
to increase when temperature is lowered which reveals a simple shear drag
associated with the viscous metallic vortex cores, supplemented by a
conventional normal fluid component at higher temperatures. For a strong drive
we discover a novel dynamical phenomenon: the core of the vortex deforms
accompanied by a large increase of the drag force.
| [
{
"created": "Thu, 29 Dec 2022 23:55:11 GMT",
"version": "v1"
}
] | 2023-05-10 | [
[
"Yang",
"Wei-Can",
""
],
[
"Xia",
"Chuan-Yin",
""
],
[
"Zeng",
"Hua-Bi",
""
],
[
"Tsubota",
"Makoto",
""
],
[
"Zaanen",
"Jan",
""
]
] | Vortices are topological defects associated with superfluids and superconductors, which, when mobile, dissipate energy destroying the dissipation-less nature of the superfluid. The nature of this "quantum dissipation" is rooted in the quantum physical nature of the problem, which has been subject of an extensive literature. However, this has mostly be focused on the measures applicable in weakly interacting systems wherein they are tractable via conventional methods. Recently it became possible to address such dynamical quantum thermalization problems in very strongly interacting systems using the holographic duality discovered in string theory, mapping the quantum problem on a gravitational problem in one higher dimension, having as benefit offering a more general view on how dissipation emerges from such intricate quantum physical circumstances. We study here the elementary problem of a single vortex in two space dimensions, set in motion by a sudden quench in the background superflow formed in a finite density "Reissner-Nordstrom" holographic superconductor. This reveals a number of surprising outcomes addressing questions of principle. By fitting the trajectories unambiguously to the Hall-Vinen-Iordanskii phenomenological equation of motion we find that these are characterized by a large inertial mass at low temperature that however diminishes upon raising temperature. For a weak drive the drag is found to increase when temperature is lowered which reveals a simple shear drag associated with the viscous metallic vortex cores, supplemented by a conventional normal fluid component at higher temperatures. For a strong drive we discover a novel dynamical phenomenon: the core of the vortex deforms accompanied by a large increase of the drag force. |
hep-th/0502230 | Lorenzo Leal | Cayetano Di Bartolo, Lorenzo Leal, and Francisco Pe\~na | Loop Equations in Abelian Gauge Theories | 7 pages, corrected typos | Mod.Phys.Lett.A20:2735-2743,2005 | 10.1142/S0217732305018608 | null | hep-th | null | The equations obeyed by the vacuum expectation value of the Wilson loop of
Abelian gauge theories are considered from the point of view of the loop-space.
An approximative scheme for studying these loop-equations for lattice Maxwell
theory is presented. The approximation leads to a partial difference equation
in the area and length variables of the loop, and certain physically motivated
ansatz is seen to reproduce the mean field results from a geometrical
perspective.
| [
{
"created": "Fri, 25 Feb 2005 23:02:08 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2005 17:49:01 GMT",
"version": "v2"
}
] | 2016-08-16 | [
[
"Di Bartolo",
"Cayetano",
""
],
[
"Leal",
"Lorenzo",
""
],
[
"Peña",
"Francisco",
""
]
] | The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory is presented. The approximation leads to a partial difference equation in the area and length variables of the loop, and certain physically motivated ansatz is seen to reproduce the mean field results from a geometrical perspective. |
1408.1255 | Robert de Mello Koch | Robert de Mello Koch, Antal Jevicki, Joao P. Rodrigues and Junggi Yoon | Holography as a Gauge Phenomenon in Higher Spin Duality | 22 pages, v2: references updated; v3: minor corrections | null | 10.1007/JHEP01(2015)055 | BROWN-HET-1658, WITS-CTP-138 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Employing the world line spinning particle picture we discuss the appearance
of several different `gauges' which we use to gain a deeper explanation of the
Collective/Gravity identification. We discuss transformations and algebraic
equivalences between them. For a bulk identification we develop a `gauge
independent' representation where all gauge constraints are eliminated. This
`gauge reduction' of Higher Spin Gravity demonstrates that the physical content
of 4D AdS HS theory is represented by the dynamics of an unconstrained scalar
field in 6d. It is in this gauge reduced form that HS Theory can be seen to be
equivalent to a 3+3 dimensional bi-local collective representation of CFT3.
| [
{
"created": "Wed, 6 Aug 2014 12:19:48 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Sep 2014 16:31:41 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Nov 2014 01:53:16 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Rodrigues",
"Joao P.",
""
],
[
"Yoon",
"Junggi",
""
]
] | Employing the world line spinning particle picture we discuss the appearance of several different `gauges' which we use to gain a deeper explanation of the Collective/Gravity identification. We discuss transformations and algebraic equivalences between them. For a bulk identification we develop a `gauge independent' representation where all gauge constraints are eliminated. This `gauge reduction' of Higher Spin Gravity demonstrates that the physical content of 4D AdS HS theory is represented by the dynamics of an unconstrained scalar field in 6d. It is in this gauge reduced form that HS Theory can be seen to be equivalent to a 3+3 dimensional bi-local collective representation of CFT3. |
hep-th/9310020 | null | C.F. Kristjansen | Random Geometries in Quantum Gravity | 78 pages, PostScript. Ph.D. thesis, The Niels Bohr Institute,
University of Copenhagen, Sep. 1993 | null | null | null | hep-th | null | We describe the idea of studying quantum gravity by means of dynamical
triangulations and give examples of its implementation in 2, 3 and 4 space time
dimensions. For $d=2$ we consider the generic hermitian 1-matrix model. We
introduce the so-called moment description which allows us to find the complete
perturbative solution of the generic model both away from and in the continuum.
Furthermore we show how one can easily by means of the moment variables define
continuum times for the model so that its continuum partition function agrees
with the partition function of the Kontsevich model except for some
complications at genus zero. Finally we study the non perturbative definition
of 2D quantum gravity provided by stochastic stabilization, showing how well
known matrix model characteristica can be given a simple quantum mechanical
interpretation and how stochastic quantization seems to hint to us the
possibility of a strong coupling expansion of 2D quantum gravity. For $d=3$ and
$d=4$ we consider the numerical approach to dynamically triangulated gravity.
We present the results of simulating pure gravity as well as gravity
interacting with matter fields. For $d=4$ we describe in addition the effect of
adding to the Einstein Hilbert action a higher derivative term.
| [
{
"created": "Mon, 4 Oct 1993 16:04:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kristjansen",
"C. F.",
""
]
] | We describe the idea of studying quantum gravity by means of dynamical triangulations and give examples of its implementation in 2, 3 and 4 space time dimensions. For $d=2$ we consider the generic hermitian 1-matrix model. We introduce the so-called moment description which allows us to find the complete perturbative solution of the generic model both away from and in the continuum. Furthermore we show how one can easily by means of the moment variables define continuum times for the model so that its continuum partition function agrees with the partition function of the Kontsevich model except for some complications at genus zero. Finally we study the non perturbative definition of 2D quantum gravity provided by stochastic stabilization, showing how well known matrix model characteristica can be given a simple quantum mechanical interpretation and how stochastic quantization seems to hint to us the possibility of a strong coupling expansion of 2D quantum gravity. For $d=3$ and $d=4$ we consider the numerical approach to dynamically triangulated gravity. We present the results of simulating pure gravity as well as gravity interacting with matter fields. For $d=4$ we describe in addition the effect of adding to the Einstein Hilbert action a higher derivative term. |
hep-th/9807114 | James Allen Feigenbaum | James A. Feigenbaum | Born-Regulated Gravity in Four Dimensions | LaTeX, 15 pages, 2 figures | Phys. Rev. D 58, 124023 (1998) | 10.1103/PhysRevD.58.124023 | EFI 98-28 | hep-th | null | Previous work involving Born-regulated gravity theories in two dimensions is
extended to four dimensions. The action we consider has two dimensionful
parameters. Black hole solutions are studied for typical values of these
parameters. For masses above a critical value determined in terms of these
parameters, the event horizon persists. For masses below this critical value,
the event horizon disappears, leaving a ``bare mass'', though of course no
singularity.
| [
{
"created": "Thu, 16 Jul 1998 18:54:22 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Feigenbaum",
"James A.",
""
]
] | Previous work involving Born-regulated gravity theories in two dimensions is extended to four dimensions. The action we consider has two dimensionful parameters. Black hole solutions are studied for typical values of these parameters. For masses above a critical value determined in terms of these parameters, the event horizon persists. For masses below this critical value, the event horizon disappears, leaving a ``bare mass'', though of course no singularity. |
1502.03129 | Cristiano Germani | Cristiano Germani and Debajyoti Sarkar | Firewalls as artefacts of inconsistent truncations of quantum geometries | v4: explanation about the failure of the saddle point approximation
and general clarifications added | Fortschr. Phys. 64, 131 (2016) | 10.1002/prop.201500057 | LMU-ASC 05/15; MPP-2015-19 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we argue that a firewall is simply a manifestation of an
inconsistent truncation of non-perturbative effects that unitarize the
semiclassical black hole. Namely, we show that a naive truncation of quantum
corrections to the Hawking spectrum at order ${\cal O}(e^{-S})$, inexorably
leads to a "localised'' divergent energy density near the black hole horizon.
Nevertheless, in the same approximation, a distant observer only sees a
discretised spectrum and concludes that unitarity is achieved by ${\cal
O}(e^{-S})$ effects. This is due to the fact that instead, the correct quantum
corrections to the Hawking spectrum go like ${\cal O}( g^{tt} e^{-S})$.
Therefore, while at a distance far away from the horizon, where $g^{tt}\approx
1$, quantum corrections {\it are} perturbative, they {\it do} diverge close to
the horizon, where $g^{tt}\rightarrow \infty$. Nevertheless, these
"corrections" nicely re-sum so that correlations functions are smooth at the
would-be black hole horizon. Thus, we conclude that the appearance of firewalls
is just a signal of the breaking of the semiclassical approximation at the Page
time, even for large black holes.
| [
{
"created": "Tue, 10 Feb 2015 21:35:04 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2015 17:00:45 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Apr 2015 16:46:13 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Oct 2015 12:53:20 GMT",
"version": "v4"
}
] | 2016-12-21 | [
[
"Germani",
"Cristiano",
""
],
[
"Sarkar",
"Debajyoti",
""
]
] | In this paper we argue that a firewall is simply a manifestation of an inconsistent truncation of non-perturbative effects that unitarize the semiclassical black hole. Namely, we show that a naive truncation of quantum corrections to the Hawking spectrum at order ${\cal O}(e^{-S})$, inexorably leads to a "localised'' divergent energy density near the black hole horizon. Nevertheless, in the same approximation, a distant observer only sees a discretised spectrum and concludes that unitarity is achieved by ${\cal O}(e^{-S})$ effects. This is due to the fact that instead, the correct quantum corrections to the Hawking spectrum go like ${\cal O}( g^{tt} e^{-S})$. Therefore, while at a distance far away from the horizon, where $g^{tt}\approx 1$, quantum corrections {\it are} perturbative, they {\it do} diverge close to the horizon, where $g^{tt}\rightarrow \infty$. Nevertheless, these "corrections" nicely re-sum so that correlations functions are smooth at the would-be black hole horizon. Thus, we conclude that the appearance of firewalls is just a signal of the breaking of the semiclassical approximation at the Page time, even for large black holes. |
2310.04932 | Sabrina Pasterski | Sabrina Pasterski | A Chapter on Celestial Holography | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Celestial Holography program encompasses recent efforts to understand the
flat space hologram in terms of a CFT living on the celestial sphere. A key
development instigating these efforts came from understanding how soft limits
of scattering encode infinite dimensional symmetry enhancements corresponding
to the asymptotic symmetry group of the bulk spacetime. Historically, the
construction of the bulk-boundary dual pair has followed bottom up approach
matching symmetries on both sides. Recently, however, there has been exciting
progress in formulating top down descriptions using insights from twisted
holography. This chapter reviews salient aspects of the celestial construction,
the status of the dictionary, and active research directions. This is a
preprint version of a chapter prepared for the Encyclopedia of Mathematical
Physics 2nd edition.
| [
{
"created": "Sat, 7 Oct 2023 22:25:56 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2023 18:56:46 GMT",
"version": "v2"
}
] | 2023-11-07 | [
[
"Pasterski",
"Sabrina",
""
]
] | The Celestial Holography program encompasses recent efforts to understand the flat space hologram in terms of a CFT living on the celestial sphere. A key development instigating these efforts came from understanding how soft limits of scattering encode infinite dimensional symmetry enhancements corresponding to the asymptotic symmetry group of the bulk spacetime. Historically, the construction of the bulk-boundary dual pair has followed bottom up approach matching symmetries on both sides. Recently, however, there has been exciting progress in formulating top down descriptions using insights from twisted holography. This chapter reviews salient aspects of the celestial construction, the status of the dictionary, and active research directions. This is a preprint version of a chapter prepared for the Encyclopedia of Mathematical Physics 2nd edition. |
1010.1427 | Stefano Bellucci | Stefano Bellucci, Bhupendra Nath Tiwari | State-space Manifold and Rotating Black Holes | 44 pages, Keywords: Rotating Black Holes; State-space Geometry;
Statistical Configurations, String Theory, M-Theory. PACS numbers: 04.70.-s
Physics of black holes; 04.70.Bw Classical black holes; 04.70.Dy Quantum
aspects of black holes, evaporation, thermodynamics; 04.50.Gh
Higher-dimensional black holes, black strings, and related objects. Edited
the bibliography | JHEP 1101:118,2011 | 10.1007/JHEP01(2011)118 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of fluctuating higher dimensional black hole configurations
obtained in string theory/ $M$-theory compactifications. We explore the
intrinsic Riemannian geometric nature of Gaussian fluctuations arising from the
Hessian of the coarse graining entropy, defined over an ensemble of brane
microstates. It has been shown that the state-space geometry spanned by the set
of invariant parameters is non-degenerate, regular and has a negative scalar
curvature for the rotating Myers-Perry black holes, Kaluza-Klein black holes,
supersymmetric $AdS_5$ black holes, $D_1$-$D_5$ configurations and the
associated BMPV black holes. Interestingly, these solutions demonstrate that
the principal components of the state-space metric tensor admit a positive
definite form, while the off diagonal components do not. Furthermore, the ratio
of diagonal components weakens relatively faster than the off diagonal
components, and thus they swiftly come into an equilibrium statistical
configuration. Novel aspects of the scaling property suggest that the
brane-brane statistical pair correlation functions divulge an asymmetric
nature, in comparison with the others. This approach indicates that all above
configurations are effectively attractive and stable, on an arbitrary
hyper-surface of the state-space manifolds. It is nevertheless noticed that
there exists an intriguing relationship between non-ideal inter-brane
statistical interactions and phase transitions. The ramifications thus
described are consistent with the existing picture of the microscopic CFTs. We
conclude with an extended discussion of the implications of this work for the
physics of black holes in string theory.
| [
{
"created": "Thu, 7 Oct 2010 13:11:01 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 2010 15:41:54 GMT",
"version": "v2"
}
] | 2011-01-28 | [
[
"Bellucci",
"Stefano",
""
],
[
"Tiwari",
"Bhupendra Nath",
""
]
] | We study a class of fluctuating higher dimensional black hole configurations obtained in string theory/ $M$-theory compactifications. We explore the intrinsic Riemannian geometric nature of Gaussian fluctuations arising from the Hessian of the coarse graining entropy, defined over an ensemble of brane microstates. It has been shown that the state-space geometry spanned by the set of invariant parameters is non-degenerate, regular and has a negative scalar curvature for the rotating Myers-Perry black holes, Kaluza-Klein black holes, supersymmetric $AdS_5$ black holes, $D_1$-$D_5$ configurations and the associated BMPV black holes. Interestingly, these solutions demonstrate that the principal components of the state-space metric tensor admit a positive definite form, while the off diagonal components do not. Furthermore, the ratio of diagonal components weakens relatively faster than the off diagonal components, and thus they swiftly come into an equilibrium statistical configuration. Novel aspects of the scaling property suggest that the brane-brane statistical pair correlation functions divulge an asymmetric nature, in comparison with the others. This approach indicates that all above configurations are effectively attractive and stable, on an arbitrary hyper-surface of the state-space manifolds. It is nevertheless noticed that there exists an intriguing relationship between non-ideal inter-brane statistical interactions and phase transitions. The ramifications thus described are consistent with the existing picture of the microscopic CFTs. We conclude with an extended discussion of the implications of this work for the physics of black holes in string theory. |
1509.04286 | Carlos Nunez | Niall T. Macpherson, Carlos Nunez, Daniel C. Thompson and S. Zacarias | Holographic Flows in non-Abelian T-dual Geometries | 28 pages plus appendixes. Version to appear in JHEP | null | 10.1007/JHEP11(2015)212 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use non-Abelian T-duality to construct new N=1 solutions of type IIA
supergravity (and their M-theory lifts) that interpolate between AdS_5
geometries. We initiate a study of the holographic interpretation of these
backgrounds as RG flows between conformal fixed points. Along the way we give
an elegant formulation of non-Abelian T-duality when acting on a wide class of
backgrounds, including those corresponding to such flows, in terms of their
SU(2) structure.
| [
{
"created": "Mon, 14 Sep 2015 20:13:08 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Nov 2015 16:06:52 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Macpherson",
"Niall T.",
""
],
[
"Nunez",
"Carlos",
""
],
[
"Thompson",
"Daniel C.",
""
],
[
"Zacarias",
"S.",
""
]
] | We use non-Abelian T-duality to construct new N=1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS_5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of non-Abelian T-duality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure. |
hep-th/9511228 | Eva Silverstein | S. Kachru and E. Silverstein | N=1 Dual String Pairs and Gaugino Condensation | 18 pages, harvmac big; Typos and references corrected | Nucl.Phys.B463:369-382,1996 | 10.1016/0550-3213(96)00018-1 | HUTP-95/A046, PUPT-1579 | hep-th | null | We study a class of four-dimensional N=1 heterotic string theories which have
nontrivial quantum dynamics arising from asymptotically free gauge groups.
These models are obtained by orbifolding 4d N=2 heterotic/type II dual pairs by
symmetries which leave unbroken products of nonabelian gauge groups (without
charged matter) in a ``hidden sector'' on the heterotic side. Such models are
expected to break supersymmetry through gaugino condensation in the hidden
sector. We find a dual description of the effects of gaugino condensation on
the type II side, where the corresponding superpotential arises at tree level.
We speculate that the conformal field theory underlying the type II description
may be related to a class of geometrical nonsupersymmetric string
compactifications.
| [
{
"created": "Fri, 1 Dec 1995 03:31:05 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Dec 1995 15:14:23 GMT",
"version": "v2"
}
] | 2009-10-07 | [
[
"Kachru",
"S.",
""
],
[
"Silverstein",
"E.",
""
]
] | We study a class of four-dimensional N=1 heterotic string theories which have nontrivial quantum dynamics arising from asymptotically free gauge groups. These models are obtained by orbifolding 4d N=2 heterotic/type II dual pairs by symmetries which leave unbroken products of nonabelian gauge groups (without charged matter) in a ``hidden sector'' on the heterotic side. Such models are expected to break supersymmetry through gaugino condensation in the hidden sector. We find a dual description of the effects of gaugino condensation on the type II side, where the corresponding superpotential arises at tree level. We speculate that the conformal field theory underlying the type II description may be related to a class of geometrical nonsupersymmetric string compactifications. |
1008.2485 | Xingang Chen | Xingang Chen | Folded Resonant Non-Gaussianity in General Single Field Inflation | 13 pages; v3, minor revision with clarification remarks, JCAP version | JCAP 1012:003,2010 | 10.1088/1475-7516/2010/12/003 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute a novel type of large non-Gaussianity due to small periodic
features in general single field inflationary models. We show that the
non-Bunch-Davies vacuum component generated by features, although has a very
small amplitude, can have significant impact on the non-Gaussianity. Three
mechanisms are turned on simultaneously in such models, namely the resonant
effect, non-Bunch-Davies vacuum and higher derivative kinetic terms, resulting
in a bispectrum with distinctive shapes and running. The size can be equal to
or larger than that previously found in each single mechanism. Our full
results, including the resonant and folded resonant non-Gaussianities, give the
leading order bispectra due to general periodic features in general single
field inflation.
| [
{
"created": "Sun, 15 Aug 2010 00:04:53 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Aug 2010 14:58:15 GMT",
"version": "v2"
},
{
"created": "Wed, 24 Nov 2010 17:21:40 GMT",
"version": "v3"
}
] | 2010-12-09 | [
[
"Chen",
"Xingang",
""
]
] | We compute a novel type of large non-Gaussianity due to small periodic features in general single field inflationary models. We show that the non-Bunch-Davies vacuum component generated by features, although has a very small amplitude, can have significant impact on the non-Gaussianity. Three mechanisms are turned on simultaneously in such models, namely the resonant effect, non-Bunch-Davies vacuum and higher derivative kinetic terms, resulting in a bispectrum with distinctive shapes and running. The size can be equal to or larger than that previously found in each single mechanism. Our full results, including the resonant and folded resonant non-Gaussianities, give the leading order bispectra due to general periodic features in general single field inflation. |
hep-th/0510063 | Pedro Castelo Ferreira | P. Castelo Ferreira | Explicit Actions for Electromagnetism with Two Gauge Fields with Only
one Electric and one Magnetic Physical Fields | v2: 12 pages; References added, discussion concerning degrees of
freedom corrected; v3: is now used the standard normalization of 1/4 in the
actions; the possibility of theta being a pseudo-scalar implied a title
changing; eq (23) added; signs corrected in equations (39,45-47); references
added | J.Math.Phys. 47 (2006) 072902 | 10.1063/1.2219159 | null | hep-th | null | We extend the work of Mello et al. based in Cabbibo and Ferrari concerning
the description of electromagnetism with two gauge fields from a variational
principle, i.e. an action. We provide a systematic independent derivation of
the allowed actions which have only one magnetic and one electric physical
fields and are invariant under the discrete symmetries $P$ and $T$. We conclude
that neither the Lagrangian, nor the Hamiltonian, are invariant under the
electromagnetic duality rotations. This agrees with the weak-strong coupling
mixing characteristic of the duality due to the Dirac quantization condition
providing a natural way to differentiate dual theories related by the duality
rotations (the energy is not invariant). Also the standard electromagnetic
duality rotations considered in this work violate both $P$ and $T$ by inducing
Hopf terms (theta terms) for each sector and a mixed Maxwell term. The
canonical structure of the theory is briefly addressed and the 'magnetic' gauge
sector is interpreted as a ghost sector.
| [
{
"created": "Fri, 7 Oct 2005 16:21:39 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jan 2006 12:34:32 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Aug 2006 01:14:44 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Ferreira",
"P. Castelo",
""
]
] | We extend the work of Mello et al. based in Cabbibo and Ferrari concerning the description of electromagnetism with two gauge fields from a variational principle, i.e. an action. We provide a systematic independent derivation of the allowed actions which have only one magnetic and one electric physical fields and are invariant under the discrete symmetries $P$ and $T$. We conclude that neither the Lagrangian, nor the Hamiltonian, are invariant under the electromagnetic duality rotations. This agrees with the weak-strong coupling mixing characteristic of the duality due to the Dirac quantization condition providing a natural way to differentiate dual theories related by the duality rotations (the energy is not invariant). Also the standard electromagnetic duality rotations considered in this work violate both $P$ and $T$ by inducing Hopf terms (theta terms) for each sector and a mixed Maxwell term. The canonical structure of the theory is briefly addressed and the 'magnetic' gauge sector is interpreted as a ghost sector. |
2208.05851 | Francisco Jose Herranz | Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz | All noncommutative spaces of $\kappa$-Poincar\'e geodesics | 23 pages | J. Phys. A: Math. Theor. 55 (2022) 435205 | 10.1088/1751-8121/ac99af | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Noncommutative spaces of geodesics provide an alternative way of introducing
noncommutative relativistic kinematics endowed with quantum group symmetry. In
this paper we present explicitly the seven noncommutative spaces of time-,
space- and light-like geodesics that can be constructed from the time-, space-
and light- versions of the $\kappa$-Poincar\'e quantum symmetry in (3+1)
dimensions. Remarkably enough, only for the light-like (or null-plane)
$\kappa$-Poincar\'e deformation the three types of noncommutative spaces of
geodesics can be constructed, while for the time-like and space-like
deformations both the quantum time-like and space-like geodesics can be
defined, but not the light-like one. This obstruction comes from the constraint
imposed by the coisotropy condition for the corresponding deformation with
respect to the isotropy subalgebra associated to the given space of geodesics,
since all these quantum spaces are constructed as quantizations of the
corresponding classical coisotropic Poisson homogeneous spaces. The known
quantum space of geodesics on the light cone is given by a five-dimensional
homogeneous quadratic algebra, and the six nocommutative spaces of time-like
and space-like geodesics are explicitly obtained as six-dimensional nonlinear
algebras. Five out of these six spaces are here presented for the first time,
and Darboux generators for all of them are found, thus showing that the quantum
deformation parameter $\kappa^{-1}$ plays exactly the same algebraic role on
quantum geodesics as the Planck constant $\hbar$ plays in the usual phase space
description of quantum mechanics.
| [
{
"created": "Thu, 11 Aug 2022 14:40:16 GMT",
"version": "v1"
}
] | 2022-11-16 | [
[
"Ballesteros",
"Angel",
""
],
[
"Gutierrez-Sagredo",
"Ivan",
""
],
[
"Herranz",
"Francisco J.",
""
]
] | Noncommutative spaces of geodesics provide an alternative way of introducing noncommutative relativistic kinematics endowed with quantum group symmetry. In this paper we present explicitly the seven noncommutative spaces of time-, space- and light-like geodesics that can be constructed from the time-, space- and light- versions of the $\kappa$-Poincar\'e quantum symmetry in (3+1) dimensions. Remarkably enough, only for the light-like (or null-plane) $\kappa$-Poincar\'e deformation the three types of noncommutative spaces of geodesics can be constructed, while for the time-like and space-like deformations both the quantum time-like and space-like geodesics can be defined, but not the light-like one. This obstruction comes from the constraint imposed by the coisotropy condition for the corresponding deformation with respect to the isotropy subalgebra associated to the given space of geodesics, since all these quantum spaces are constructed as quantizations of the corresponding classical coisotropic Poisson homogeneous spaces. The known quantum space of geodesics on the light cone is given by a five-dimensional homogeneous quadratic algebra, and the six nocommutative spaces of time-like and space-like geodesics are explicitly obtained as six-dimensional nonlinear algebras. Five out of these six spaces are here presented for the first time, and Darboux generators for all of them are found, thus showing that the quantum deformation parameter $\kappa^{-1}$ plays exactly the same algebraic role on quantum geodesics as the Planck constant $\hbar$ plays in the usual phase space description of quantum mechanics. |
1406.0087 | Tetsuji Kimura | Tetsuji Kimura, Masaya Yata | T-duality Transformation of Gauged Linear Sigma Model with F-term | 34 pages, version published in Nuclear Physics B | Nucl.Phys. B887 (2014) 136-167 | 10.1016/j.nuclphysb.2014.08.004 | KEK-TH-1739, TIT/HEP-637 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the duality transformation rules in two-dimensional theories in
the superfield formalism. Even if the chiral superfield which we dualize
involves an F-term, we can dualize it by virtue of the property of chiral
superfields. We apply the duality transformation rule of the neutral chiral
superfield to the ${\cal N}=(4,4)$ gauged linear sigma model for five-branes.
We also investigate the duality transformation rule of the charged chiral
superfield in the ${\cal N} = (4,4)$ gauged linear sigma model for the
$A_1$-type ALE space. In both cases we obtain the dual Lagrangians in the
superfield formalism. In the low energy limit we find that their duality
transformations are interpreted as T-duality transformations consistent with
the Buscher rule.
| [
{
"created": "Sat, 31 May 2014 16:00:55 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Aug 2014 01:56:13 GMT",
"version": "v2"
}
] | 2014-08-29 | [
[
"Kimura",
"Tetsuji",
""
],
[
"Yata",
"Masaya",
""
]
] | We develop the duality transformation rules in two-dimensional theories in the superfield formalism. Even if the chiral superfield which we dualize involves an F-term, we can dualize it by virtue of the property of chiral superfields. We apply the duality transformation rule of the neutral chiral superfield to the ${\cal N}=(4,4)$ gauged linear sigma model for five-branes. We also investigate the duality transformation rule of the charged chiral superfield in the ${\cal N} = (4,4)$ gauged linear sigma model for the $A_1$-type ALE space. In both cases we obtain the dual Lagrangians in the superfield formalism. In the low energy limit we find that their duality transformations are interpreted as T-duality transformations consistent with the Buscher rule. |
0812.2994 | Ahmad Sheykhi | Ahmad Sheykhi and Bin Wang | On topological charged braneworld black holes | 9 pages, references added, to appear in MPLA | Mod.Phys.Lett.A24:2531-2538,2009 | 10.1142/S0217732309031120 | null | hep-th | http://creativecommons.org/licenses/by/3.0/ | We study a class of topological black hole solutions in RSII braneworld
scenario in the presence of a localized Maxwell field on the brane. Such a
black hole can carry two types of charge, one arising from the extra dimension,
the tidal charge, and the other one from a localized gauge field confined to
the brane. We find that the localized charge on the brane modifies the bulk
geometry and in particular the bulk Weyl tensor. The bulk geometry does not
depend on different topologies of the horizons. We present the temperature and
entropy expressions associated with the event horizon of the braneworld black
hole and by using the first law of black hole thermodynamics we calculate the
mass of the black hole.
| [
{
"created": "Tue, 16 Dec 2008 08:06:03 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jul 2009 03:11:27 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Sheykhi",
"Ahmad",
""
],
[
"Wang",
"Bin",
""
]
] | We study a class of topological black hole solutions in RSII braneworld scenario in the presence of a localized Maxwell field on the brane. Such a black hole can carry two types of charge, one arising from the extra dimension, the tidal charge, and the other one from a localized gauge field confined to the brane. We find that the localized charge on the brane modifies the bulk geometry and in particular the bulk Weyl tensor. The bulk geometry does not depend on different topologies of the horizons. We present the temperature and entropy expressions associated with the event horizon of the braneworld black hole and by using the first law of black hole thermodynamics we calculate the mass of the black hole. |
hep-th/0108162 | Plamen Bojilov | P. Bozhilov | Exact Brane Solutions in Curved Backgrounds | 12 pages, LaTeX, no figures. Talk at the Third International
Conference on Geometry, Integrability, and Quantization, June 14-23, 2001,
Varna, Bulgaria. To be published in the proceedings | null | null | null | hep-th | null | We consider the classical null p-brane dynamics in D-dimensional curved
backgrounds and apply the Batalin-Fradkin-Vilkovisky approach for BRST
quantization of general gauge theories. Then we develop a method for solving
the tensionless $p$-brane equations of motion and constraints. This is possible
whenever there exists at least one Killing vector for the background metric. It
is shown that the same method can be also applied for the tensile 1-branes.
Finally, we give two examples of explicit exact solutions in four dimensions.
| [
{
"created": "Wed, 22 Aug 2001 12:23:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bozhilov",
"P.",
""
]
] | We consider the classical null p-brane dynamics in D-dimensional curved backgrounds and apply the Batalin-Fradkin-Vilkovisky approach for BRST quantization of general gauge theories. Then we develop a method for solving the tensionless $p$-brane equations of motion and constraints. This is possible whenever there exists at least one Killing vector for the background metric. It is shown that the same method can be also applied for the tensile 1-branes. Finally, we give two examples of explicit exact solutions in four dimensions. |
0909.5252 | Hajime Aoki | Hajime Aoki, Yoshiko Hirayama and Satoshi Iso | Construction of a topological charge on fuzzy S^2 x S^2 via
Ginsparg-Wilson relation | 30 pages, typo corrected, version published in Phys.Rev.D | Phys.Rev.D80:125006,2009 | 10.1103/PhysRevD.80.125006 | SAGA-HE-256, KEK-TH-1331 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a topological charge of gauge field configurations on a fuzzy
S^2xS^2 by using a Dirac operator satisfying the Ginsparg-Wilson relation. The
topological charge defined on the fuzzy S^2xS^2 can be interpreted as a
noncommutative (or matrix) generalization of the 2nd Chern character on
S^2xS^2. We further calculate the number of chiral zero modes of the Dirac
operator in topologically nontrivial gauge configurations. Generalizations of
our formulation to fuzzy (S^2)^k are also discussed.
| [
{
"created": "Tue, 29 Sep 2009 02:38:52 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2009 08:04:20 GMT",
"version": "v2"
}
] | 2009-12-30 | [
[
"Aoki",
"Hajime",
""
],
[
"Hirayama",
"Yoshiko",
""
],
[
"Iso",
"Satoshi",
""
]
] | We construct a topological charge of gauge field configurations on a fuzzy S^2xS^2 by using a Dirac operator satisfying the Ginsparg-Wilson relation. The topological charge defined on the fuzzy S^2xS^2 can be interpreted as a noncommutative (or matrix) generalization of the 2nd Chern character on S^2xS^2. We further calculate the number of chiral zero modes of the Dirac operator in topologically nontrivial gauge configurations. Generalizations of our formulation to fuzzy (S^2)^k are also discussed. |
1508.05799 | Frederik Scholtz | F. G. Scholtz, J. N. Kriel and H. W. Groenewald | The thermodynamics of Fermi gases in three dimensional fuzzy space | 17 pages, 7 Figures | null | 10.1103/PhysRevD.92.125013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the recently derived density of states for a particle confined to a
spherical well in three dimensional fuzzy space to compute the thermodynamics
of a gas of non-interacting fermions confined to such a well. Special emphasis
is placed on non-commutative effects and in particular non-commutative
corrections to the thermodynamics at low densities and temperatures are
computed where the non-relativistic approximation used here is valid.
Non-commutative effects at high densities are also identified, the most
prominent being the existence of a minimal volume at which the gas becomes
incompressible. The latter is closely related to a low/high density duality
exhibited by these systems, which in turn is a manifestation of an
infra-red/ultra violet duality in the single particle spectrum. Both
non-rotating and slowly rotating gasses are studied. Approximations are
benchmarked against exact numerical computations for the non-rotating case and
several other properties of the gas are demonstrated with numerical
computations. Finally, a non-commutative gas confined by gravity is studied and
several novel features regarding the mass-radius relation, density and entropy
are highlighted.
| [
{
"created": "Mon, 24 Aug 2015 13:34:41 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Scholtz",
"F. G.",
""
],
[
"Kriel",
"J. N.",
""
],
[
"Groenewald",
"H. W.",
""
]
] | We use the recently derived density of states for a particle confined to a spherical well in three dimensional fuzzy space to compute the thermodynamics of a gas of non-interacting fermions confined to such a well. Special emphasis is placed on non-commutative effects and in particular non-commutative corrections to the thermodynamics at low densities and temperatures are computed where the non-relativistic approximation used here is valid. Non-commutative effects at high densities are also identified, the most prominent being the existence of a minimal volume at which the gas becomes incompressible. The latter is closely related to a low/high density duality exhibited by these systems, which in turn is a manifestation of an infra-red/ultra violet duality in the single particle spectrum. Both non-rotating and slowly rotating gasses are studied. Approximations are benchmarked against exact numerical computations for the non-rotating case and several other properties of the gas are demonstrated with numerical computations. Finally, a non-commutative gas confined by gravity is studied and several novel features regarding the mass-radius relation, density and entropy are highlighted. |
hep-th/0005014 | Nihei | Takeshi Nihei (Lancaster Univ.) | Gravity localization with a domain wall junction in six dimensions | Latex, 13 pages, a paragraph and references added, typos corrected | Phys.Rev. D62 (2000) 124017 | 10.1103/PhysRevD.62.124017 | null | hep-th | null | We study gravity localization in the context of a six-dimensional gravity
model coupled with complex scalar fields. With a supergravity-motivated scalar
potential, we show that the domain wall junction solutions localize a
four-dimensional massless graviton under an assumption on the wall profile. We
find that unlike the global supersymmetric model, contributions to the junction
tension cancel locally with gravitational contributions. The wall tension
vanishes due to the metric suppression.
| [
{
"created": "Mon, 1 May 2000 21:56:05 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Oct 2000 14:07:34 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Nihei",
"Takeshi",
"",
"Lancaster Univ."
]
] | We study gravity localization in the context of a six-dimensional gravity model coupled with complex scalar fields. With a supergravity-motivated scalar potential, we show that the domain wall junction solutions localize a four-dimensional massless graviton under an assumption on the wall profile. We find that unlike the global supersymmetric model, contributions to the junction tension cancel locally with gravitational contributions. The wall tension vanishes due to the metric suppression. |
1412.8170 | Qingjun Jin | Qingjun Jin and Bo Feng | Recursion Relation for Boundary Contribution | 25 pages, 9 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that under a BCFW-deformation, there is a boundary
contribution when the amplitude scales as O(1) or worse. We show that boundary
contributions have a similar recursion relation as scattering amplitude. Just
like the BCFW recursion relation, where scattering amplitudes are expressed as
the products of two on-shell sub-amplitudes (plus possible boundary
contributions), our new recursion relation expresses boundary contributions as
products of sub-amplitudes and boundary contributions with less legs, plus yet
another possible boundary contribution. In other words, the complete scattering
amplitude, including boundary contributions, can be obtained by multiple steps
of recursions, unless the boundary contributions are still non-zero when all
possible deformations are exploited. We demonstrate this algorithm by several
examples. Especially, we show that for standard model like renormalizable
theory in 4D, i.e., the theory including only gauge boson, fermions and
scalars, the complete amplitude can always be computed by at most four
recursive steps using our algorithm.
| [
{
"created": "Sun, 28 Dec 2014 14:35:02 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Mar 2015 02:08:26 GMT",
"version": "v2"
},
{
"created": "Fri, 1 May 2015 07:25:22 GMT",
"version": "v3"
}
] | 2015-05-04 | [
[
"Jin",
"Qingjun",
""
],
[
"Feng",
"Bo",
""
]
] | It is well known that under a BCFW-deformation, there is a boundary contribution when the amplitude scales as O(1) or worse. We show that boundary contributions have a similar recursion relation as scattering amplitude. Just like the BCFW recursion relation, where scattering amplitudes are expressed as the products of two on-shell sub-amplitudes (plus possible boundary contributions), our new recursion relation expresses boundary contributions as products of sub-amplitudes and boundary contributions with less legs, plus yet another possible boundary contribution. In other words, the complete scattering amplitude, including boundary contributions, can be obtained by multiple steps of recursions, unless the boundary contributions are still non-zero when all possible deformations are exploited. We demonstrate this algorithm by several examples. Especially, we show that for standard model like renormalizable theory in 4D, i.e., the theory including only gauge boson, fermions and scalars, the complete amplitude can always be computed by at most four recursive steps using our algorithm. |
hep-th/9709169 | Ken Olum | Ken D. Olum | Vacuum-Bounded States and the Entropy of Black Hole Evaporation | MIT thesis. 79 pages. LaTex with MIT thesis style (included). 11
figures with epsf. Most of this material (but not chapter 2) has previously
appeared in somewhat different form in hep-th/9710086 and hep-th/9709041 | null | null | null | hep-th | null | We call a state ``vacuum bounded'' if every measurement performed outside a
specified interior region gives the same result as in the vacuum. We compute
the maximum entropy of a vacuum-bounded state with a given energy for a
one-dimensional model, with the aid of numerical calculations on a lattice. For
large energies we show that a vacuum-bounded system with length $L_in$ and a
given energy has entropy no more than $S^rb + (1/6) \ln S^rb$, where $S^rb$ is
the entropy in a rigid box with the same size and energy. Assuming that the
state resulting from the evaporation of a black hole is similar to a
vacuum-bounded state, and that the similarity between vacuum-bounded and rigid
box problems extends from 1 to 3 dimensions, we apply these results to the
black hole information paradox. Under these assumptions we conclude that large
amounts of information cannot be emitted in the final explosion of a black
hole.
We also consider vacuum-bounded states at very low energies and come to the
surprising conclusion that the entropy of such a state can be much higher than
that of a rigid box state with the same energy. For a fixed $E$ we let $L_in'$
be the length of a rigid box which gives the same entropy as a vacuum-bounded
state of length $L_in$. In the $E\to 0$ limit we conjecture that the ratio
$L_in'/L_in$ grows without bound and support this conjecture with numerical
computations.
| [
{
"created": "Tue, 23 Sep 1997 18:35:04 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Olum",
"Ken D.",
""
]
] | We call a state ``vacuum bounded'' if every measurement performed outside a specified interior region gives the same result as in the vacuum. We compute the maximum entropy of a vacuum-bounded state with a given energy for a one-dimensional model, with the aid of numerical calculations on a lattice. For large energies we show that a vacuum-bounded system with length $L_in$ and a given energy has entropy no more than $S^rb + (1/6) \ln S^rb$, where $S^rb$ is the entropy in a rigid box with the same size and energy. Assuming that the state resulting from the evaporation of a black hole is similar to a vacuum-bounded state, and that the similarity between vacuum-bounded and rigid box problems extends from 1 to 3 dimensions, we apply these results to the black hole information paradox. Under these assumptions we conclude that large amounts of information cannot be emitted in the final explosion of a black hole. We also consider vacuum-bounded states at very low energies and come to the surprising conclusion that the entropy of such a state can be much higher than that of a rigid box state with the same energy. For a fixed $E$ we let $L_in'$ be the length of a rigid box which gives the same entropy as a vacuum-bounded state of length $L_in$. In the $E\to 0$ limit we conjecture that the ratio $L_in'/L_in$ grows without bound and support this conjecture with numerical computations. |
1212.3000 | Hyun Seok Yang | Sunggeun Lee, Raju Roychowdhury and Hyun Seok Yang | Topology Change of Spacetime and Resolution of Spacetime Singularity in
Emergent Gravity | 6 pages with two columns; expanded version to appear in Phys. Rev. D | Phys. Rev. D87 (2013) 126002 | 10.1103/PhysRevD.87.126002 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Emergent gravity is based on the Darboux theorem or the Moser lemma in
symplectic geometry stating that the electromagnetic force can always be
eliminated by a local coordinate transformation as far as U(1) gauge theory is
defined on a spacetime with symplectic structure. In this approach, the
spacetime geometry is defined by U(1) gauge fields on noncommutative (NC)
spacetime. Accordingly the topology of spacetime is determined by the topology
of NC U(1) gauge fields. We show that the topology change of spacetime is ample
in emergent gravity and the subsequent resolution of spacetime singularity is
possible in NC spacetime. Therefore the emergent gravity approach provides a
well-defined mechanism for the topology change of spacetime which does not
suffer any spacetime singularity in sharp contrast to general relativity.
| [
{
"created": "Wed, 12 Dec 2012 22:06:56 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2012 03:00:19 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Apr 2013 07:58:20 GMT",
"version": "v3"
}
] | 2013-06-10 | [
[
"Lee",
"Sunggeun",
""
],
[
"Roychowdhury",
"Raju",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | Emergent gravity is based on the Darboux theorem or the Moser lemma in symplectic geometry stating that the electromagnetic force can always be eliminated by a local coordinate transformation as far as U(1) gauge theory is defined on a spacetime with symplectic structure. In this approach, the spacetime geometry is defined by U(1) gauge fields on noncommutative (NC) spacetime. Accordingly the topology of spacetime is determined by the topology of NC U(1) gauge fields. We show that the topology change of spacetime is ample in emergent gravity and the subsequent resolution of spacetime singularity is possible in NC spacetime. Therefore the emergent gravity approach provides a well-defined mechanism for the topology change of spacetime which does not suffer any spacetime singularity in sharp contrast to general relativity. |
2210.09431 | Hyat Huang | Dumitru Astefanesei, Hyat Huang, Jutta Kunz and Eugen Radu | Einstein-scalar field solutions in AdS spacetime: clouds, boundary
conditions, and scalar multipoles | 36 pages, 13 figures, Comments welcome | null | 10.1007/JHEP03(2023)174 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an Einstein-scalar field model which is a consistent truncation
of ${\cal N}=8$ $D=4$ gauged supergravity, the scalar field possessing a
potential which is unbounded from below and a tachyonic mass above the
Breitenlohner-Freedman bound. We investigate the spherically symmetric
asymptotically anti-de Sitter soliton and black hole solutions, with the aim of
clarifying the asymptotics and the possible boundary conditions at infinity.
The emerging picture is contrasted with that found for an Einstein-scalar field
model with the same scalar mass and a quartic self-interaction term. We also
provide arguments for the existence of solitonic solutions which can be viewed
as non-linear continuation of the (probe) scalar multipolar clouds, with
emphasis on the dipole case. Apart from numerical results, exact solutions are
found for solitons with a monopole and dipole scalar field, as perturbations
around the AdS background.
| [
{
"created": "Mon, 17 Oct 2022 20:54:02 GMT",
"version": "v1"
}
] | 2023-04-12 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Huang",
"Hyat",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Radu",
"Eugen",
""
]
] | We consider an Einstein-scalar field model which is a consistent truncation of ${\cal N}=8$ $D=4$ gauged supergravity, the scalar field possessing a potential which is unbounded from below and a tachyonic mass above the Breitenlohner-Freedman bound. We investigate the spherically symmetric asymptotically anti-de Sitter soliton and black hole solutions, with the aim of clarifying the asymptotics and the possible boundary conditions at infinity. The emerging picture is contrasted with that found for an Einstein-scalar field model with the same scalar mass and a quartic self-interaction term. We also provide arguments for the existence of solitonic solutions which can be viewed as non-linear continuation of the (probe) scalar multipolar clouds, with emphasis on the dipole case. Apart from numerical results, exact solutions are found for solitons with a monopole and dipole scalar field, as perturbations around the AdS background. |
1112.1706 | Vladimir Ivashchuk | V. D. Ivashchuk | On generalized analogues of black brane solutions in the model with
multicomponent anisotropic fluid | 16 pages, Latex. Several paragraphs and equations are either
rewritten or eliminated. One reference is added | null | null | ICG-PFUR-2011/12-1c | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A family of spherically symmetric solutions in the model with m-component
anisotropic fluid is considered. The metrics are defined on a manifold which
contains a product of n-1 Ricci-flat "internal" spaces. The equation of state
for any s-th component is defined by a vector U^s = (U^s_i) belonging to R^{n +
1} and obeying inequalities U^s_1 = q_s > 0, s = 1,..., m. The solutions are
governed by moduli functions H_s which are solutions of (master) non-linear
differential equations with certain boundary conditions imposed. It is shown
that for coinciding q_s = q there exists a subclass of solutions with regular
horizon when q = 1, 2, ... and U^s-vectors correspond to certain semisimple Lie
algebras. An extension of these solutions to block-orthogonal set of vectors
U^s with natural parameters q_s coinciding inside blocks is also proposed.
Generalized q-analogues of black brane solutions are suggested and q-analogue
of M_2-M_5 dyonic solution in D =11 supergravity (corresponding to the Lie
algebra A_2) is considered.
| [
{
"created": "Wed, 7 Dec 2011 21:09:45 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Dec 2011 18:32:49 GMT",
"version": "v2"
}
] | 2011-12-13 | [
[
"Ivashchuk",
"V. D.",
""
]
] | A family of spherically symmetric solutions in the model with m-component anisotropic fluid is considered. The metrics are defined on a manifold which contains a product of n-1 Ricci-flat "internal" spaces. The equation of state for any s-th component is defined by a vector U^s = (U^s_i) belonging to R^{n + 1} and obeying inequalities U^s_1 = q_s > 0, s = 1,..., m. The solutions are governed by moduli functions H_s which are solutions of (master) non-linear differential equations with certain boundary conditions imposed. It is shown that for coinciding q_s = q there exists a subclass of solutions with regular horizon when q = 1, 2, ... and U^s-vectors correspond to certain semisimple Lie algebras. An extension of these solutions to block-orthogonal set of vectors U^s with natural parameters q_s coinciding inside blocks is also proposed. Generalized q-analogues of black brane solutions are suggested and q-analogue of M_2-M_5 dyonic solution in D =11 supergravity (corresponding to the Lie algebra A_2) is considered. |
2406.14320 | Kah Sen Kam | Ken Kikuchi, Kah-Sen Kam and Fu-Hsiang Huang | Anyon condensation in mixed-state topological order | 52 pages, 14 figures | null | null | null | hep-th cond-mat.str-el math-ph math.CT math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss anyon condensation in mixed-state topological order. The phases
were recently conjectured to be classified by pre-modular fusion categories.
Just like anyon condensation in pure-state topological order, a bootstrap
analysis shows condensable anyons are given by connected \'etale algebras. We
explain how to perform generic anyon condensation including non-invertible
anyons and successive condensations. Interestingly, some condensations lead to
pure-state topological orders. We clarify when this happens. We also compute
topological invariants of equivalence classes.
| [
{
"created": "Thu, 20 Jun 2024 13:52:33 GMT",
"version": "v1"
}
] | 2024-06-21 | [
[
"Kikuchi",
"Ken",
""
],
[
"Kam",
"Kah-Sen",
""
],
[
"Huang",
"Fu-Hsiang",
""
]
] | We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensable anyons are given by connected \'etale algebras. We explain how to perform generic anyon condensation including non-invertible anyons and successive condensations. Interestingly, some condensations lead to pure-state topological orders. We clarify when this happens. We also compute topological invariants of equivalence classes. |
1611.09383 | Tomas Ortin | Samuele Chimento and Tomas Ortin | On timelike supersymmetric solutions of gauged minimal 5-dimensional
supergravity | 57 pages. References and comments added | null | 10.1007/JHEP04(2017)017 | IFT-UAM/CSIC-16-094 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the timelike supersymmetric solutions of minimal gauged
5-dimensional supergravity for the case in which the K\"ahler base manifold
admits a holomorphic isometry and depends on two real functions satisfying a
simple second-order differential equation. Using this general form of the base
space, the equations satisfied by the building blocks of the solutions become
of, at most, fourth degree and can be solved by simple polynomic ansatzs. In
this way we construct two 3-parameter families of solutions that contain almost
all the timelike supersymmetric solutions of this theory with one angular
momentum known so far and a few more: the (singular) supersymmetric
Reissner-Nordstr\"om-AdS solutions, the three exact supersymmetric solutions
describing the three near-horizon geometries found by Gutowski and Reall, three
1-parameter asymptotically-AdS$_{5}$ black-hole solutions with those three
near-horizon geometries (Gutowski and Reall's black hole being one of them),
three generalizations of the G\"odel universe and a few potentially homogenous
solutions. A key r\^ole in finding these solutions is played by our ability to
write AdS$_{5}$'s K\"ahler base space ($\overline{\mathbb{CP}}^{2}$ or
SU$(1,2)/$U$(2)$) is three different, yet simple, forms associated to three
different isometries. Furthermore, our ansatz for the K\"ahler metric also
allows us to study the dimensional compactification of the theory and its
solutions in a systematic way.
| [
{
"created": "Mon, 28 Nov 2016 21:12:55 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2017 10:47:41 GMT",
"version": "v2"
}
] | 2017-04-26 | [
[
"Chimento",
"Samuele",
""
],
[
"Ortin",
"Tomas",
""
]
] | We analyze the timelike supersymmetric solutions of minimal gauged 5-dimensional supergravity for the case in which the K\"ahler base manifold admits a holomorphic isometry and depends on two real functions satisfying a simple second-order differential equation. Using this general form of the base space, the equations satisfied by the building blocks of the solutions become of, at most, fourth degree and can be solved by simple polynomic ansatzs. In this way we construct two 3-parameter families of solutions that contain almost all the timelike supersymmetric solutions of this theory with one angular momentum known so far and a few more: the (singular) supersymmetric Reissner-Nordstr\"om-AdS solutions, the three exact supersymmetric solutions describing the three near-horizon geometries found by Gutowski and Reall, three 1-parameter asymptotically-AdS$_{5}$ black-hole solutions with those three near-horizon geometries (Gutowski and Reall's black hole being one of them), three generalizations of the G\"odel universe and a few potentially homogenous solutions. A key r\^ole in finding these solutions is played by our ability to write AdS$_{5}$'s K\"ahler base space ($\overline{\mathbb{CP}}^{2}$ or SU$(1,2)/$U$(2)$) is three different, yet simple, forms associated to three different isometries. Furthermore, our ansatz for the K\"ahler metric also allows us to study the dimensional compactification of the theory and its solutions in a systematic way. |
1007.0883 | Toshiyuki Okubo | Tatsumi Aoyama, Jun Nishimura, Toshiyuki Okubo | Spontaneous breaking of the rotational symmetry in dimensionally reduced
super Yang-Mills models | 27 pages, 14 figures | Prog.Theor.Phys.125:537-563,2011 | 10.1143/PTP.125.537 | KEK-TH-1376 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the spontaneous breaking of the SO(D) symmetry in matrix
models, which can be obtained by the zero-volume limit of pure SU(N) super
Yang-Mills theory in D = 6, 10 dimensions. The D = 10 case corresponds to the
IIB matrix model, which was proposed as a non-perturbative formulation of type
IIB superstring theory, and the spontaneous breaking corresponds to the
dynamical compactification of space-time suggested in that model. First we
study the D = 6 case by the Gaussian expansion method, which turns out to yield
clearer results than the previous results for the D = 10 case for certain
technical reasons. By comparing the free energy of the SO(d) symmetric vacua
for d = 2, 3, 4, 5, we conclude that the breaking SO(6) \to SO(3) actually
occurs. We find that the extent of space-time in the shrunken directions is
almost independent of d. In units of this universal scale, the extended
directions seem to have large but still finite extents depending on d. We show
that these results for the extent of space-time can be explained quantitatively
by an argument based on the low-energy effective theory. With these new
insights, we reconsider the previous results for the IIB matrix model, and find
that they are also consistent with our argument based on the low-energy
effective theory. Thus we arrive at comprehensive understanding and some
quantitative predictions concerning the nature of the spontaneous symmetry
breaking taking place in these models. The space-time picture that emerges from
the IIB matrix model and its implication on possible interpretations of the
model are also discussed.
| [
{
"created": "Tue, 6 Jul 2010 13:07:42 GMT",
"version": "v1"
}
] | 2011-06-07 | [
[
"Aoyama",
"Tatsumi",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Okubo",
"Toshiyuki",
""
]
] | We investigate the spontaneous breaking of the SO(D) symmetry in matrix models, which can be obtained by the zero-volume limit of pure SU(N) super Yang-Mills theory in D = 6, 10 dimensions. The D = 10 case corresponds to the IIB matrix model, which was proposed as a non-perturbative formulation of type IIB superstring theory, and the spontaneous breaking corresponds to the dynamical compactification of space-time suggested in that model. First we study the D = 6 case by the Gaussian expansion method, which turns out to yield clearer results than the previous results for the D = 10 case for certain technical reasons. By comparing the free energy of the SO(d) symmetric vacua for d = 2, 3, 4, 5, we conclude that the breaking SO(6) \to SO(3) actually occurs. We find that the extent of space-time in the shrunken directions is almost independent of d. In units of this universal scale, the extended directions seem to have large but still finite extents depending on d. We show that these results for the extent of space-time can be explained quantitatively by an argument based on the low-energy effective theory. With these new insights, we reconsider the previous results for the IIB matrix model, and find that they are also consistent with our argument based on the low-energy effective theory. Thus we arrive at comprehensive understanding and some quantitative predictions concerning the nature of the spontaneous symmetry breaking taking place in these models. The space-time picture that emerges from the IIB matrix model and its implication on possible interpretations of the model are also discussed. |
hep-th/0103038 | Michael Volkov | Mikhail S. Volkov | Gravitating Yang-Mills vortices in 4+1 spacetime dimensions | 1 figure and 1 formula added; to appear in PLB | Phys.Lett. B524 (2002) 369-375 | 10.1016/S0370-2693(01)01407-1 | null | hep-th gr-qc hep-ph | null | The coupling to gravity in D=5 spacetime dimensions is considered for the
particle-like and vortex-type solutions obtained by uplifting the D=4
Yang-Mills instantons and D=3 Yang-Mills-Higgs monopoles. It turns out that the
particles become completely destroyed by gravity, while the vortices admit a
rich spectrum of gravitating generalizations. Such vortex defects may be
interesting in view of the AdS/CFT correspondence or in the context of the
brane world scenario.
| [
{
"created": "Tue, 6 Mar 2001 18:09:43 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2001 19:45:57 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Volkov",
"Mikhail S.",
""
]
] | The coupling to gravity in D=5 spacetime dimensions is considered for the particle-like and vortex-type solutions obtained by uplifting the D=4 Yang-Mills instantons and D=3 Yang-Mills-Higgs monopoles. It turns out that the particles become completely destroyed by gravity, while the vortices admit a rich spectrum of gravitating generalizations. Such vortex defects may be interesting in view of the AdS/CFT correspondence or in the context of the brane world scenario. |
1206.0010 | Ben Hoare | Ben Hoare, Timothy J. Hollowood, J. Luis Miramontes | Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix | 25 pages | JHEP 1210:076,2012 | 10.1007/JHEP10(2012)076 | Imperial/TP/12/BH/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The investigation of the q deformation of the S-matrix for excitations on the
string world sheet in AdS5 x S5 is continued. We argue that due to the lack of
Lorentz invariance the situation is more subtle than in a relativistic theory
in that the nature of bound states depends on their momentum. At low enough
momentum |p|<E the bound states transform in the anti-symmetric representation
of the super-algebra symmetry and become the solitons of the Pohlmeyer reduced
theory in the relativistic limit. At a critical momentum |p|=E they become
marginally unstable, and at higher momenta the stable bound states are in the
symmetric representation and become the familiar magnons in the string limit as
q->1. This subtlety fixes a problem involving the consistency of crossing
symmetry with the relativistic limit found in earlier work. With mirror
kinematics, obtained after a double Wick rotation, the bound state structure is
simpler and there are no marginally unstable bound states.
| [
{
"created": "Thu, 31 May 2012 20:00:08 GMT",
"version": "v1"
}
] | 2012-12-05 | [
[
"Hoare",
"Ben",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | The investigation of the q deformation of the S-matrix for excitations on the string world sheet in AdS5 x S5 is continued. We argue that due to the lack of Lorentz invariance the situation is more subtle than in a relativistic theory in that the nature of bound states depends on their momentum. At low enough momentum |p|<E the bound states transform in the anti-symmetric representation of the super-algebra symmetry and become the solitons of the Pohlmeyer reduced theory in the relativistic limit. At a critical momentum |p|=E they become marginally unstable, and at higher momenta the stable bound states are in the symmetric representation and become the familiar magnons in the string limit as q->1. This subtlety fixes a problem involving the consistency of crossing symmetry with the relativistic limit found in earlier work. With mirror kinematics, obtained after a double Wick rotation, the bound state structure is simpler and there are no marginally unstable bound states. |
hep-th/0404194 | Toru Sasaki | Toru Sasaki | Affine Lie Algebras and S-Duality of N=4 Super Yang-Mills Theory for ADE
Gauge Groups on K3 | 22 pages, typo corrections | null | null | null | hep-th math.AG | null | We attempt to determine the partition function of ${\cal N}=4$ super
Yang-Mills theory for $ADE$ gauge groups on $K3$ and investigate the relation
with affine Lie algebras. In particular we describe eta functions, which
compose SU(N) partition function, by level $N$ $A_{N-1}$ theta functions.
Moreover we find $D,E$ theta functions, which satisfy the Montonen-Olive
duality for $D,E$ partition functions.
| [
{
"created": "Sat, 24 Apr 2004 15:36:06 GMT",
"version": "v1"
},
{
"created": "Tue, 4 May 2004 10:23:16 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Sasaki",
"Toru",
""
]
] | We attempt to determine the partition function of ${\cal N}=4$ super Yang-Mills theory for $ADE$ gauge groups on $K3$ and investigate the relation with affine Lie algebras. In particular we describe eta functions, which compose SU(N) partition function, by level $N$ $A_{N-1}$ theta functions. Moreover we find $D,E$ theta functions, which satisfy the Montonen-Olive duality for $D,E$ partition functions. |
1711.01173 | Parijat Dey | Parijat Dey, Apratim Kaviraj | Towards a Bootstrap approach to higher orders of epsilon expansion | 25 pages, typos corrected, reference added | null | 10.1007/JHEP02(2018)153 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We employ a hybrid approach in determining the anomalous dimension and OPE
coefficient of higher spin operators in the Wilson-Fisher theory. First we do a
large spin analysis for CFT data where we use results obtained from the usual
and the Mellin Bootstrap and also from Feynman diagram literature. This gives
new predictions at $O(\epsilon^4)$ and $O(\epsilon^5)$ for anomalous dimensions
and OPE coefficients, and also provides a cross-check for the results from
Mellin Bootstrap. These higher orders get contributions from all higher spin
operators in the crossed channel. We also use the Bootstrap in Mellin space
method for $\phi^3$ in $d=6-\epsilon$ CFT where we calculate general higher
spin OPE data. We demonstrate a higher loop order calculation in this approach
by summing over contributions from higher spin operators of the crossed channel
in the same spirit as before.
| [
{
"created": "Fri, 3 Nov 2017 14:10:34 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2017 14:04:01 GMT",
"version": "v2"
},
{
"created": "Sun, 17 Dec 2017 12:44:13 GMT",
"version": "v3"
}
] | 2018-04-04 | [
[
"Dey",
"Parijat",
""
],
[
"Kaviraj",
"Apratim",
""
]
] | We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for CFT data where we use results obtained from the usual and the Mellin Bootstrap and also from Feynman diagram literature. This gives new predictions at $O(\epsilon^4)$ and $O(\epsilon^5)$ for anomalous dimensions and OPE coefficients, and also provides a cross-check for the results from Mellin Bootstrap. These higher orders get contributions from all higher spin operators in the crossed channel. We also use the Bootstrap in Mellin space method for $\phi^3$ in $d=6-\epsilon$ CFT where we calculate general higher spin OPE data. We demonstrate a higher loop order calculation in this approach by summing over contributions from higher spin operators of the crossed channel in the same spirit as before. |
1802.06085 | Marco Caldarelli | Marco M. Caldarelli and Kostas Skenderis | Kaluza-Klein reductions and AdS/Ricci-flat correspondence | 52 pages, 1 figure | null | 10.1140/epjc/s10052-018-6058-8 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The AdS/Ricci-flat (AdS/RF) correspondence is a map between families of
asymptotically locally AdS solutions on a torus and families of asymptotically
flat spacetimes on a sphere. The aim of this work is to perturbatively extend
this map to general AdS and asymptotically flat solutions. A prime application
for such map would be the development of holography for Minkowski spacetime. In
this paper we perform a Kaluza-Klein (KK) reduction of AdS on a torus and of
Minkowski on a sphere, keeping all massive KK modes. Such computation is
interesting on its own, as there are relatively few examples of such explicit
KK reductions in the literature. We perform both KK reductions in parallel to
illustrate their similarity. In particular, we show how to construct gauge
invariant variables, find the field equations they satisfy, and construct a
corresponding effective action. We further diagonalize all equations and find
their general solution in closed form. Surprisingly, in the limit of large
dimension of the compact manifolds (torus and sphere), the AdS/RF
correspondence maps individual KK modes from one side to the other. In a sequel
of this paper we will discuss how the AdS/RF maps acts when the dimension of
the compact space is finite.
| [
{
"created": "Fri, 16 Feb 2018 19:00:11 GMT",
"version": "v1"
}
] | 2018-08-15 | [
[
"Caldarelli",
"Marco M.",
""
],
[
"Skenderis",
"Kostas",
""
]
] | The AdS/Ricci-flat (AdS/RF) correspondence is a map between families of asymptotically locally AdS solutions on a torus and families of asymptotically flat spacetimes on a sphere. The aim of this work is to perturbatively extend this map to general AdS and asymptotically flat solutions. A prime application for such map would be the development of holography for Minkowski spacetime. In this paper we perform a Kaluza-Klein (KK) reduction of AdS on a torus and of Minkowski on a sphere, keeping all massive KK modes. Such computation is interesting on its own, as there are relatively few examples of such explicit KK reductions in the literature. We perform both KK reductions in parallel to illustrate their similarity. In particular, we show how to construct gauge invariant variables, find the field equations they satisfy, and construct a corresponding effective action. We further diagonalize all equations and find their general solution in closed form. Surprisingly, in the limit of large dimension of the compact manifolds (torus and sphere), the AdS/RF correspondence maps individual KK modes from one side to the other. In a sequel of this paper we will discuss how the AdS/RF maps acts when the dimension of the compact space is finite. |
1301.4166 | Evgeny Skvortsov D | V. E. Didenko, Jianwei Mei and E. D. Skvortsov | Exact higher-spin symmetry in CFT: free fermion correlators from
Vasiliev Theory | 20 pages, cosmetic changes in (10) | null | 10.1103/PhysRevD.88.046011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | N-point correlation functions of conserved currents and weight-two scalar
operators of the three-dimensional free fermion vector model are found as
invariants of the higher-spin symmetry in four-dimensional AdS. These are the
correlators of the unbroken Vasiliev higher-spin theory. The results extend the
recent work arXiv:1210.7963 and are complementary to arXiv:1301.3123 where the
correlators were computed entirely on the boundary.
| [
{
"created": "Thu, 17 Jan 2013 17:33:26 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Feb 2013 07:33:26 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Aug 2019 08:24:24 GMT",
"version": "v3"
}
] | 2019-08-20 | [
[
"Didenko",
"V. E.",
""
],
[
"Mei",
"Jianwei",
""
],
[
"Skvortsov",
"E. D.",
""
]
] | N-point correlation functions of conserved currents and weight-two scalar operators of the three-dimensional free fermion vector model are found as invariants of the higher-spin symmetry in four-dimensional AdS. These are the correlators of the unbroken Vasiliev higher-spin theory. The results extend the recent work arXiv:1210.7963 and are complementary to arXiv:1301.3123 where the correlators were computed entirely on the boundary. |
hep-th/9711173 | Ioannis Giannakis | Ioannis Giannakis and James T. Liu (Rockefeller University) | N=2 Supersymmetry and Dipole Moments | 12 pages, plain Tex, references added | Phys. Rev. D 58, 025009 (1998) | 10.1103/PhysRevD.58.025009 | RU97-08-B | hep-th hep-ph | null | We derive sum rules for the magnetic and electric dipole moments of all
particle states of an N=2 supermultiplet. For short representations, we find
agreement with previously determined N=1 sum rules, while there is added
freedom for long representations (expressed as certain scalar expectation
values). With mild assumptions we find the simple result that the supersymmetry
generated spin adds to the magnetic (electric) dipole moment with strength
corresponding to $g=2$ ($g_e=0$). This result is equally valid for N=1, this
time without any further assumptions.
| [
{
"created": "Mon, 24 Nov 1997 22:25:14 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Dec 1997 17:23:59 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Giannakis",
"Ioannis",
"",
"Rockefeller University"
],
[
"Liu",
"James T.",
"",
"Rockefeller University"
]
] | We derive sum rules for the magnetic and electric dipole moments of all particle states of an N=2 supermultiplet. For short representations, we find agreement with previously determined N=1 sum rules, while there is added freedom for long representations (expressed as certain scalar expectation values). With mild assumptions we find the simple result that the supersymmetry generated spin adds to the magnetic (electric) dipole moment with strength corresponding to $g=2$ ($g_e=0$). This result is equally valid for N=1, this time without any further assumptions. |
0911.1945 | Razvan-Gheorghe Gurau | Razvan Gurau | Topological Graph Polynomials in Colored Group Field Theory | null | Annales Henri Poincare 11:565-584,2010 | 10.1007/s00023-010-0035-6 | pi-qg-165 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we analyze the open Feynman graphs of the Colored Group Field
Theory introduced in [arXiv:0907.2582]. We define the boundary graph
$\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex.
Using this structure we generalize the topological (Bollobas-Riordan) Tutte
polynomials associated to (ribbon) graphs to topological polynomials adapted to
Colored Group Field Theory graphs in arbitrary dimension.
| [
{
"created": "Tue, 10 Nov 2009 16:57:58 GMT",
"version": "v1"
}
] | 2010-11-18 | [
[
"Gurau",
"Razvan",
""
]
] | In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex. Using this structure we generalize the topological (Bollobas-Riordan) Tutte polynomials associated to (ribbon) graphs to topological polynomials adapted to Colored Group Field Theory graphs in arbitrary dimension. |
1103.3551 | Gabriel Menezes | E. Arias, E. Goulart, G. Krein, G. Menezes and N.F. Svaiter | Scalar Quantum Field Theory in Disordered Media | null | Phys.Rev.D83:125022,2011 | 10.1103/PhysRevD.83.125022 | null | hep-th cond-mat.dis-nn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A free massive scalar field in inhomogeneous random media is investigated.
The coefficients of the Klein-Gordon equation are taken to be random functions
of the spatial coordinates. The case of an annealed-like disordered medium,
modeled by centered stationary and Gaussian processes, is analyzed. After
performing the averages over the random functions, we obtain the two-point
causal Green's function of the model up to one-loop. The disordered scalar
quantum field theory becomes qualitatively similar to a $\lambda\phi^{4}$
self-interacting theory with a frequency-dependent coupling.
| [
{
"created": "Fri, 18 Mar 2011 03:17:13 GMT",
"version": "v1"
}
] | 2011-07-05 | [
[
"Arias",
"E.",
""
],
[
"Goulart",
"E.",
""
],
[
"Krein",
"G.",
""
],
[
"Menezes",
"G.",
""
],
[
"Svaiter",
"N. F.",
""
]
] | A free massive scalar field in inhomogeneous random media is investigated. The coefficients of the Klein-Gordon equation are taken to be random functions of the spatial coordinates. The case of an annealed-like disordered medium, modeled by centered stationary and Gaussian processes, is analyzed. After performing the averages over the random functions, we obtain the two-point causal Green's function of the model up to one-loop. The disordered scalar quantum field theory becomes qualitatively similar to a $\lambda\phi^{4}$ self-interacting theory with a frequency-dependent coupling. |
1607.03060 | M. V. Libanov | M. Libanov and V. Rubakov | Perturbations on and off de Sitter brane in anti-de Sitter bulk | 27 pages, 2 figures | Phys. Rev. D 94, 064076 (2016) | 10.1103/PhysRevD.94.064076 | INR-TH-2016-022 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by holographic models of (pseudo)conformal Universe, we carry out
complete analysis of linearized metric perturbations in the time-dependent
two-brane setup of the Lykken-Randall type. We present the equations of motion
for the scalar, vector and tensor perturbations and identify light modes in the
spectrum, which are scalar radion and transverse-traceless graviton. We show
that there are no other modes in the discrete part of the spectrum. We pay
special attention to properties of light modes and show, in particular, that
the radion has red power spectrum at late times, as anticipated on holographic
grounds. Unlike the graviton, the radion survives in the single-brane limit,
when one of the branes is sent to the adS boundary. These properties imply that
potentially observable features characteristic of the 4d (pseudo)conformal
cosmology, such as statistical anisotropy and specific shapes of
non-Gaussianity, are inherent also in holographic conformal models as well as
in brane world inflation.
| [
{
"created": "Mon, 11 Jul 2016 17:59:00 GMT",
"version": "v1"
}
] | 2016-10-05 | [
[
"Libanov",
"M.",
""
],
[
"Rubakov",
"V.",
""
]
] | Motivated by holographic models of (pseudo)conformal Universe, we carry out complete analysis of linearized metric perturbations in the time-dependent two-brane setup of the Lykken-Randall type. We present the equations of motion for the scalar, vector and tensor perturbations and identify light modes in the spectrum, which are scalar radion and transverse-traceless graviton. We show that there are no other modes in the discrete part of the spectrum. We pay special attention to properties of light modes and show, in particular, that the radion has red power spectrum at late times, as anticipated on holographic grounds. Unlike the graviton, the radion survives in the single-brane limit, when one of the branes is sent to the adS boundary. These properties imply that potentially observable features characteristic of the 4d (pseudo)conformal cosmology, such as statistical anisotropy and specific shapes of non-Gaussianity, are inherent also in holographic conformal models as well as in brane world inflation. |
1109.2609 | Ahmet Emir Gumrukcuoglu | A.Emir Gumrukcuoglu, Shinji Mukohyama, Anzhong Wang | General relativity limit of Horava-Lifshitz gravity with a scalar field
in gradient expansion | 21 pages; v2. minor update to match the published version | Phys. Rev. D 85, 064042 (2012) | 10.1103/PhysRevD.85.064042 | IPMU11-0150 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a fully nonlinear study of long wavelength cosmological
perturbations within the framework of the projectable Horava-Lifshitz gravity,
coupled to a single scalar field. Adopting the gradient expansion technique, we
explicitly integrate the dynamical equations up to any order of the expansion,
then restrict the integration constants by imposing the momentum constraint.
While the gradient expansion relies on the long wavelength approximation,
amplitudes of perturbations do not have to be small. When the $\lambda\to 1$
limit is taken, the obtained nonlinear solutions exhibit a continuous behavior
at any order of the gradient expansion, recovering general relativity in the
presence of a scalar field and the "dark matter as an integration constant".
This is in sharp contrast to the results in the literature based on the
"standard" (and naive) perturbative approach where in the same limit, the
perturbative expansion of the action breaks down and the scalar graviton mode
appears to be strongly coupled. We carry out a detailed analysis on the source
of these apparent pathologies and determine that they originate from an
improper application of the perturbative approximation in the momentum
constraint. We also show that there is a new branch of solutions, valid in the
regime where $|\lambda-1|$ is smaller than the order of perturbations. In the
limit $\lambda\to1$, this new branch allows the theory to be continuously
connected to general relativity (plus "dark matter").
| [
{
"created": "Mon, 12 Sep 2011 20:06:08 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2012 05:05:03 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Gumrukcuoglu",
"A. Emir",
""
],
[
"Mukohyama",
"Shinji",
""
],
[
"Wang",
"Anzhong",
""
]
] | We present a fully nonlinear study of long wavelength cosmological perturbations within the framework of the projectable Horava-Lifshitz gravity, coupled to a single scalar field. Adopting the gradient expansion technique, we explicitly integrate the dynamical equations up to any order of the expansion, then restrict the integration constants by imposing the momentum constraint. While the gradient expansion relies on the long wavelength approximation, amplitudes of perturbations do not have to be small. When the $\lambda\to 1$ limit is taken, the obtained nonlinear solutions exhibit a continuous behavior at any order of the gradient expansion, recovering general relativity in the presence of a scalar field and the "dark matter as an integration constant". This is in sharp contrast to the results in the literature based on the "standard" (and naive) perturbative approach where in the same limit, the perturbative expansion of the action breaks down and the scalar graviton mode appears to be strongly coupled. We carry out a detailed analysis on the source of these apparent pathologies and determine that they originate from an improper application of the perturbative approximation in the momentum constraint. We also show that there is a new branch of solutions, valid in the regime where $|\lambda-1|$ is smaller than the order of perturbations. In the limit $\lambda\to1$, this new branch allows the theory to be continuously connected to general relativity (plus "dark matter"). |
1602.08097 | Juan Mateos Guilarte | Juan Mateos Guilarte | Lecture Notes on Three Supersymmetric/Topological Systems in Quantum
Field Theory | LaTeX file, 60 pages, 2 Figures, Lecture delivered by Juan Mateos
Guilarte in the X Autumn Colloquium on Geometry and Physics, Miraflores de la
Sierra, Spain, September 2001. arXiv admin note: text overlap with
arXiv:hep-th/0101055 by other authors | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | ((1+1)-dimensional ${\cal N}=1$ super-symmetric field theory and
(3+1)-dimensional ${\cal N}=2$ super-symmetric gauge theory are discussed in a,
more or less, unified way, designed to identify the quantum BPS states in both
systems. Euclidean 4-dimensional gauge theory with ${\cal N}=2$ twisted
super-symmetry is also analized. ${\bf C}^\infty$-topological invariants are
identified as certain n-point correlation functions in this QFT framework. The
twist of the effective dual Abelian gauge theory is briefly described, both
from mathematical and physical viewpoints. The physical nature of the
topological defects arising in these systems, kinks, BPS and Dirac monopoles,
BPST instantons, Liouville and Abrikosov-Nielsen-Olesen selfdual vortices,
etcetera, is analyzed,
The thread of the story connecting the QFT systems treated respectively in
Sections \S.3 and \S.4 is the process of TWIST that leads from a conventional
extended Supersymetric Gauge Theory to the topological ${\cal N}=2$ SUSY
Donaldson QFT. Within Section \S.3 the $SL(2,\mathbb{Z}$-dualities establish a
link between the weak coupling regime of the original gauge theory and the
Wilsonian (abelian) effective gauge theory arising at low energies. We shall
also look after the reminiscences of these dualities between the twisted TQFT
systems of Section \S.4.
| [
{
"created": "Thu, 25 Feb 2016 12:39:02 GMT",
"version": "v1"
}
] | 2016-02-29 | [
[
"Guilarte",
"Juan Mateos",
""
]
] | ((1+1)-dimensional ${\cal N}=1$ super-symmetric field theory and (3+1)-dimensional ${\cal N}=2$ super-symmetric gauge theory are discussed in a, more or less, unified way, designed to identify the quantum BPS states in both systems. Euclidean 4-dimensional gauge theory with ${\cal N}=2$ twisted super-symmetry is also analized. ${\bf C}^\infty$-topological invariants are identified as certain n-point correlation functions in this QFT framework. The twist of the effective dual Abelian gauge theory is briefly described, both from mathematical and physical viewpoints. The physical nature of the topological defects arising in these systems, kinks, BPS and Dirac monopoles, BPST instantons, Liouville and Abrikosov-Nielsen-Olesen selfdual vortices, etcetera, is analyzed, The thread of the story connecting the QFT systems treated respectively in Sections \S.3 and \S.4 is the process of TWIST that leads from a conventional extended Supersymetric Gauge Theory to the topological ${\cal N}=2$ SUSY Donaldson QFT. Within Section \S.3 the $SL(2,\mathbb{Z}$-dualities establish a link between the weak coupling regime of the original gauge theory and the Wilsonian (abelian) effective gauge theory arising at low energies. We shall also look after the reminiscences of these dualities between the twisted TQFT systems of Section \S.4. |
hep-th/9709135 | Cnash | C. Nash | Topology and physics-a historical essay | Plain TeX, 60 pages, postscript figures included. v2: Spelling of
K\"onigsberg corrected, thank you to all those who told me of this
infelicity. v3: Some extra material added. I am much obliged to the numerous
people who sent me emails about this article. v4: Some final additions. I am
again much obliged to the numerous people who sent me emails | null | null | null | hep-th alg-geom dg-ga math.AG math.DG math.QA q-alg | null | This is an article on the interaction between topology and physics which will
appear in 1998 in a book called: A History of Topology, edited by Ioan James
and published by Elsevier-North Holland.
| [
{
"created": "Thu, 18 Sep 1997 17:17:44 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Sep 1997 21:06:32 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Dec 1997 15:57:19 GMT",
"version": "v3"
},
{
"created": "Wed, 31 Dec 1997 19:46:52 GMT",
"version": "v4"
}
] | 2008-02-03 | [
[
"Nash",
"C.",
""
]
] | This is an article on the interaction between topology and physics which will appear in 1998 in a book called: A History of Topology, edited by Ioan James and published by Elsevier-North Holland. |
0902.0427 | Roberto Emparan | Roberto Emparan, Troels Harmark, Vasilis Niarchos, Niels A. Obers | World-Volume Effective Theory for Higher-Dimensional Black Holes | 11 pages. v2: title changed to match published version in PRL;
otherwise minor corrections | Phys.Rev.Lett.102:191301,2009 | 10.1103/PhysRevLett.102.191301 | CPHT-RR-009.0109 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the main feature behind novel properties of higher-dimensional
black holes, compared to four-dimensional ones, is that their horizons can have
two characteristic lengths of very different size. We develop a long-distance
worldvolume effective theory that captures the black hole dynamics at scales
much larger than the short scale. In this limit the black hole is regarded as a
blackfold: a black brane (possibly boosted locally) whose worldvolume spans a
curved submanifold of the spacetime. This approach reveals black objects with
novel horizon geometries and topologies more complex than the black ring, but
more generally it provides a new organizing framework for the dynamics of
higher-dimensional black holes.
| [
{
"created": "Tue, 3 Feb 2009 12:57:24 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2009 10:22:56 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Emparan",
"Roberto",
""
],
[
"Harmark",
"Troels",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Obers",
"Niels A.",
""
]
] | We argue that the main feature behind novel properties of higher-dimensional black holes, compared to four-dimensional ones, is that their horizons can have two characteristic lengths of very different size. We develop a long-distance worldvolume effective theory that captures the black hole dynamics at scales much larger than the short scale. In this limit the black hole is regarded as a blackfold: a black brane (possibly boosted locally) whose worldvolume spans a curved submanifold of the spacetime. This approach reveals black objects with novel horizon geometries and topologies more complex than the black ring, but more generally it provides a new organizing framework for the dynamics of higher-dimensional black holes. |
hep-th/0107197 | Dmitri Belov | I.Ya. Aref'eva, D.M. Belov, A.S. Koshelev and P.B. Medvedev | Gauge Invariance and Tachyon Condensation in Cubic Superstring Field
Theory | 21 pages, 2 figures, LaTeX 2e; references added, typos corrected | Nucl.Phys. B638 (2002) 21-40 | 10.1016/S0550-3213(02)00473-X | null | hep-th | null | The gauge invariance of cubic open superstring field theory is considered in
a framework of level truncation, and applications to the tachyon condensation
problem are discussed. As it is known, in the bosonic case the Feynman-Siegel
gauge is not universal within the level truncation method. We explore another
gauge that is more suitable for calculation of the tachyon potential for
fermionic string at level (2,6). We show that this new gauge has no
restrictions on the region of its validity at least at this level.
| [
{
"created": "Mon, 23 Jul 2001 18:15:33 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2001 14:44:00 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Aref'eva",
"I. Ya.",
""
],
[
"Belov",
"D. M.",
""
],
[
"Koshelev",
"A. S.",
""
],
[
"Medvedev",
"P. B.",
""
]
] | The gauge invariance of cubic open superstring field theory is considered in a framework of level truncation, and applications to the tachyon condensation problem are discussed. As it is known, in the bosonic case the Feynman-Siegel gauge is not universal within the level truncation method. We explore another gauge that is more suitable for calculation of the tachyon potential for fermionic string at level (2,6). We show that this new gauge has no restrictions on the region of its validity at least at this level. |
1003.5041 | Shoichi Ichinose | Shoichi Ichinose | New Regularization in Extra Dimensional Model and Renormalization Group
Flow of the Cosmological Constant | 7 pages, 2 figures, Proceedings of SCGT09 | null | 10.1142/9789814329521_0048 | US-10-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Casimir energy is calculated for 5D scalar theory in the {\it warped}
geometry. A new regularization, called {\it sphere lattice regularization}, is
taken. The regularized configuration is {\it closed-string like}. We
numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp
parameter) and $T$(extra space IR parameter) dependence of Casimir energy. 5D
Casimir energy is {\it finitely} obtained after the {\it proper renormalization
procedure.} The {\it warp parameter} $\om$ suffers from the {\it
renormalization effect}. We examine the cosmological constant problem.
| [
{
"created": "Fri, 26 Mar 2010 05:39:01 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Ichinose",
"Shoichi",
""
]
] | Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate $\La$(4D UV-cutoff), $\om$(5D bulk curvature, warp parameter) and $T$(extra space IR parameter) dependence of Casimir energy. 5D Casimir energy is {\it finitely} obtained after the {\it proper renormalization procedure.} The {\it warp parameter} $\om$ suffers from the {\it renormalization effect}. We examine the cosmological constant problem. |
0802.1970 | Claude Bervillier | C. Bervillier, B. Boisseau, H. Giacomini | Analytical approximation schemes for solving exact renormalization group
equations. II Conformal mappings | Final version to appear in Nucl. Phys. B. 1 reference added | Nucl.Phys.B801:296-315,2008 | 10.1016/j.nuclphysb.2008.02.021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new efficient analytical approximation scheme to two-point
boundary value problems of ordinary differential equations (ODEs) adapted to
the study of the derivative expansion of the exact renormalization group
equations. It is based on a compactification of the complex plane of the
independent variable using a mapping of an angular sector onto a unit disc. We
explicitly treat, for the scalar field, the local potential approximations of
the Wegner-Houghton equation in the dimension $d=3$ and of the
Wilson-Polchinski equation for some values of $d\in ] 2,3] $. We then consider,
for $d=3$, the coupled ODEs obtained by Morris at the second order of the
derivative expansion. In both cases the fixed points and the eigenvalues
attached to them are estimated. Comparisons of the results obtained are made
with the shooting method and with the other analytical methods available. The
best accuracy is reached with our new method which presents also the advantage
of being very fast. Thus, it is well adapted to the study of more complicated
systems of equations.
| [
{
"created": "Thu, 14 Feb 2008 07:49:56 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2008 07:50:18 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bervillier",
"C.",
""
],
[
"Boisseau",
"B.",
""
],
[
"Giacomini",
"H.",
""
]
] | We present a new efficient analytical approximation scheme to two-point boundary value problems of ordinary differential equations (ODEs) adapted to the study of the derivative expansion of the exact renormalization group equations. It is based on a compactification of the complex plane of the independent variable using a mapping of an angular sector onto a unit disc. We explicitly treat, for the scalar field, the local potential approximations of the Wegner-Houghton equation in the dimension $d=3$ and of the Wilson-Polchinski equation for some values of $d\in ] 2,3] $. We then consider, for $d=3$, the coupled ODEs obtained by Morris at the second order of the derivative expansion. In both cases the fixed points and the eigenvalues attached to them are estimated. Comparisons of the results obtained are made with the shooting method and with the other analytical methods available. The best accuracy is reached with our new method which presents also the advantage of being very fast. Thus, it is well adapted to the study of more complicated systems of equations. |
0811.4478 | Ahmad Sheykhi | Ahmad Sheykhi and Bin Wang | Generalized second law of thermodynamics in Gauss-Bonnet braneworld | 11 pages, references added, the version appears in PLB | Phys.Lett.B678:434-437,2009 | 10.1016/j.physletb.2009.06.075 | null | hep-th | http://creativecommons.org/licenses/by/3.0/ | We investigate the validity the generalized second law of thermodynamics in a
general braneworld model with curvature correction terms on the brane and in
the bulk, respectively. Employing the derived entropy expression associated
with the apparent horizon, we examine the time evolution of the total entropy,
including the derived entropy of the apparent horizon and the entropy of the
matter fields inside the apparent horizon. We show that the generalized second
law of thermodynamics is fulfilled on the 3-brane embedded in the 5D spacetime
with curvature corrections.
| [
{
"created": "Thu, 27 Nov 2008 08:14:03 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Jul 2009 03:07:56 GMT",
"version": "v2"
}
] | 2011-06-09 | [
[
"Sheykhi",
"Ahmad",
""
],
[
"Wang",
"Bin",
""
]
] | We investigate the validity the generalized second law of thermodynamics in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. Employing the derived entropy expression associated with the apparent horizon, we examine the time evolution of the total entropy, including the derived entropy of the apparent horizon and the entropy of the matter fields inside the apparent horizon. We show that the generalized second law of thermodynamics is fulfilled on the 3-brane embedded in the 5D spacetime with curvature corrections. |
2212.14808 | Yegor Zenkevich | Yegor Zenkevich | Hanany-Witten brane crossing and Ding-Iohara-Miki algebra | 12 pages | null | null | ITEP/TH-29/22 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We further develop the correspondence between representations of
Ding-Iohara-Miki (DIM) algebra and Type IIB branes. In particular we explicitly
compute the Hanany-Witten type 5-brane crossing operator which plays the role
of the $R$-matrix and has interesting combinatorial properties. We explore the
corresponding lattice integrable models and notice a possible connection with
statistics of plane partitions.
| [
{
"created": "Fri, 30 Dec 2022 16:17:22 GMT",
"version": "v1"
}
] | 2023-01-02 | [
[
"Zenkevich",
"Yegor",
""
]
] | We further develop the correspondence between representations of Ding-Iohara-Miki (DIM) algebra and Type IIB branes. In particular we explicitly compute the Hanany-Witten type 5-brane crossing operator which plays the role of the $R$-matrix and has interesting combinatorial properties. We explore the corresponding lattice integrable models and notice a possible connection with statistics of plane partitions. |
1007.4331 | Yu Tian | Yu Tian, Xiao-Ning Wu | Dynamics of Gravity as Thermodynamics on the Spherical Holographic
Screen | 10 pages, revtex4; v2: minor corrections, references added? v3: the
summary paragraph replaced by the discussion of the general static case,
minor corrections/clarifications/modifications, references added, match the
published version | Phys.Rev.D83:021501,2011 | 10.1103/PhysRevD.83.021501 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of general Lovelock gravity, viewed on an arbitrary spherically
symmetric surface as a holographic screen, is recast as the form of some
generalized first law of thermodynamics on the screen. From this observation
together with other two distinct aspects, where exactly the same temperature
and entropy on the screen arise, it is argued that the thermodynamic
interpretation of gravity is physically meaningful not only on the horizon, but
also on a general spherically symmetric screen.
| [
{
"created": "Sun, 25 Jul 2010 16:15:46 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 2010 14:29:30 GMT",
"version": "v2"
},
{
"created": "Sat, 22 Jan 2011 07:16:07 GMT",
"version": "v3"
}
] | 2011-03-04 | [
[
"Tian",
"Yu",
""
],
[
"Wu",
"Xiao-Ning",
""
]
] | The dynamics of general Lovelock gravity, viewed on an arbitrary spherically symmetric surface as a holographic screen, is recast as the form of some generalized first law of thermodynamics on the screen. From this observation together with other two distinct aspects, where exactly the same temperature and entropy on the screen arise, it is argued that the thermodynamic interpretation of gravity is physically meaningful not only on the horizon, but also on a general spherically symmetric screen. |
1401.0884 | Dimitar Nedanovski | Dimitar Nedanovski | Superconformal vertex algebras in four dimensions | 19 pages | Mod. Phys. Lett. A, Vol. 30, No. 12 (2015) 1550064 | 10.1142/S0217732315500649 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A superfield formalism for quantum fields with N-extended superconformal
symmetry is developed using vertex algebra techniques in four dimensions.
| [
{
"created": "Sun, 5 Jan 2014 10:52:08 GMT",
"version": "v1"
}
] | 2015-04-01 | [
[
"Nedanovski",
"Dimitar",
""
]
] | A superfield formalism for quantum fields with N-extended superconformal symmetry is developed using vertex algebra techniques in four dimensions. |
1108.3735 | Emil Nissimov | Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana
Pacheva | Hiding Charge in a Wormhole | 15 pages, v.2 improved presentation, additional references, v.3 typo
in Eq.(3) corrected, v.4 missing constant factors in Eqs.(7),(45) inserted,
acknowledgement added, results unchanged, v.5 expanded version 19 pages, many
additional references and explanatory remarks, results unchanged | The Open Nuclear and Particle Physics Journal, 4 (2011) 27-34 | 10.2174/1874415X01104010027 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Existence of wormholes can lead to a host of new effects like Misner-Wheeler
"charge without charge" effect, where without being generated by any source an
electric flux arrives from one "universe" and flows into the other "universe".
Here we show the existence of an intriguing opposite possibility. Namely, a
charged object (a charged lightlike brane in our case) sitting at the wormhole
"throat" expels all the flux it produces into just one of the "universes",
which turns out to be of compactified ("tube-like") nature. An outside observer
in the non-compact "universe" detects, therefore, a neutral object. This
charge-hiding effect takes place in a gravity/gauge-field system
self-consistently interacting with a charged lightlike brane as a matter
source, where the gauge field subsystem is of a special non-linear form
containing a square-root of the Maxwell term and which previously has been
shown to produce a QCD-like confining gauge field dynamics in flat space-time.
| [
{
"created": "Thu, 18 Aug 2011 12:14:23 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Aug 2011 11:42:05 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Aug 2011 09:51:25 GMT",
"version": "v3"
},
{
"created": "Sun, 16 Oct 2011 20:51:31 GMT",
"version": "v4"
},
{
"created": "Sun, 23 Oct 2011 20:21:11 GMT",
"version": "v5"
}
] | 2015-05-30 | [
[
"Guendelman",
"Eduardo",
""
],
[
"Kaganovich",
"Alexander",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] | Existence of wormholes can lead to a host of new effects like Misner-Wheeler "charge without charge" effect, where without being generated by any source an electric flux arrives from one "universe" and flows into the other "universe". Here we show the existence of an intriguing opposite possibility. Namely, a charged object (a charged lightlike brane in our case) sitting at the wormhole "throat" expels all the flux it produces into just one of the "universes", which turns out to be of compactified ("tube-like") nature. An outside observer in the non-compact "universe" detects, therefore, a neutral object. This charge-hiding effect takes place in a gravity/gauge-field system self-consistently interacting with a charged lightlike brane as a matter source, where the gauge field subsystem is of a special non-linear form containing a square-root of the Maxwell term and which previously has been shown to produce a QCD-like confining gauge field dynamics in flat space-time. |
2108.01060 | Chethan Gowdigere | Arpit Das, Chethan N. Gowdigere and Jagannath Santara | Classifying three-character RCFTs with Wronskian Index equalling
$\mathbf{0}$ or $\mathbf{2}$ | Added references and explanations and tables. an added section on
possible GHM-dual pairs of CFTs. unchanged section three which contains the
classification. 4 pages | null | 10.1007/JHEP11(2021)195 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the modular linear differential equation (MLDE) approach to classifying
rational conformal field theories (RCFTs) both the MLDE and the RCFT are
identified by a pair of non-negative integers $\textbf{[n,l]}$. $\mathbf{n}$ is
the number of characters of the RCFT as well as the order of the MLDE that the
characters solve and $\mathbf{l}$, the Wronskian index, is associated to the
structure of the zeroes of the Wronskian of the characters. In this paper, we
study $\textbf{[3,0]}$ and $\textbf{[3,2]}$ MLDEs in order to classify the
corresponding CFTs. We reduce the problem to a "finite" problem: to classify
CFTs with central charge $ 0 < c \leq 96$, we need to perform $6,720$
computations for the former and $20,160$ for the latter. Each computation
involves (i) first finding a simultaneous solution to a pair of Diophantine
equations and (ii) computing Fourier coefficients to a high order and checking
for positivity.
In the $\textbf{[3,0]}$ case, for $ 0 < c \leq 96$, we obtain many
character-like solutions: two infinite classes and a discrete set of $303$.
After accounting for various categories of known solutions, including Virasoro
minimal models, WZW CFTs, Franc-Mason vertex operator algebras and
Gaberdiel-Hampapura-Mukhi novel coset CFTs, we seem to have seven hitherto
unknown character-like solutions which could potentially give new CFTs. We also
classify $\textbf{[3,2]}$ CFTs for $ 0 < c \leq 96$: each CFT in this case is
obtained by adjoining a constant character to a $\textbf{[2,0]}$ CFT, whose
classification was achieved by Mathur-Mukhi-Sen three decades ago.
| [
{
"created": "Mon, 2 Aug 2021 17:41:10 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Aug 2021 00:33:21 GMT",
"version": "v2"
}
] | 2021-12-08 | [
[
"Das",
"Arpit",
""
],
[
"Gowdigere",
"Chethan N.",
""
],
[
"Santara",
"Jagannath",
""
]
] | In the modular linear differential equation (MLDE) approach to classifying rational conformal field theories (RCFTs) both the MLDE and the RCFT are identified by a pair of non-negative integers $\textbf{[n,l]}$. $\mathbf{n}$ is the number of characters of the RCFT as well as the order of the MLDE that the characters solve and $\mathbf{l}$, the Wronskian index, is associated to the structure of the zeroes of the Wronskian of the characters. In this paper, we study $\textbf{[3,0]}$ and $\textbf{[3,2]}$ MLDEs in order to classify the corresponding CFTs. We reduce the problem to a "finite" problem: to classify CFTs with central charge $ 0 < c \leq 96$, we need to perform $6,720$ computations for the former and $20,160$ for the latter. Each computation involves (i) first finding a simultaneous solution to a pair of Diophantine equations and (ii) computing Fourier coefficients to a high order and checking for positivity. In the $\textbf{[3,0]}$ case, for $ 0 < c \leq 96$, we obtain many character-like solutions: two infinite classes and a discrete set of $303$. After accounting for various categories of known solutions, including Virasoro minimal models, WZW CFTs, Franc-Mason vertex operator algebras and Gaberdiel-Hampapura-Mukhi novel coset CFTs, we seem to have seven hitherto unknown character-like solutions which could potentially give new CFTs. We also classify $\textbf{[3,2]}$ CFTs for $ 0 < c \leq 96$: each CFT in this case is obtained by adjoining a constant character to a $\textbf{[2,0]}$ CFT, whose classification was achieved by Mathur-Mukhi-Sen three decades ago. |
0905.0665 | Simone Giombi | Simone Giombi, Vasily Pestun, Riccardo Ricci | Notes on supersymmetric Wilson loops on a two-sphere | 52 pages, Minor typos fixed and some comments added in Sec. 8 | JHEP 1007:088,2010 | 10.1007/JHEP07(2010)088 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a recently discovered family of 1/8-BPS supersymmetric Wilson loops
in N=4 super Yang-Mills theory and their string theory duals. The operators are
defined for arbitrary contours on a two-sphere in space-time, and they were
conjectured to be captured perturbatively by 2d bosonic Yang-Mills theory. In
the AdS dual, they are described by pseudo-holomorphic string surfaces living
on a certain submanifold of AdS_5 x S^5. We show that the regularized area of
these string surfaces is invariant under area preserving diffeomorphisms of the
boundary loop, in agreement with the conjecture. Further, we find a connection
between the pseudo-holomorphicity equations and an auxiliary sigma-model on
S^3, which may help to construct new 1/8-BPS string solutions. We also show
that the conjectured relation to 2d Yang-Mills implies that a connected
correlator of two Wilson loops is computed by a Hermitian Gaussian two-matrix
model. On the AdS dual side, we argue that the connected correlator is
described by two disconnected disks interacting through the exchange of
supergravity modes, and we show that this agrees with the strong coupling
planar limit of the two-matrix model.
| [
{
"created": "Tue, 5 May 2009 18:39:37 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2009 16:06:32 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Giombi",
"Simone",
""
],
[
"Pestun",
"Vasily",
""
],
[
"Ricci",
"Riccardo",
""
]
] | We study a recently discovered family of 1/8-BPS supersymmetric Wilson loops in N=4 super Yang-Mills theory and their string theory duals. The operators are defined for arbitrary contours on a two-sphere in space-time, and they were conjectured to be captured perturbatively by 2d bosonic Yang-Mills theory. In the AdS dual, they are described by pseudo-holomorphic string surfaces living on a certain submanifold of AdS_5 x S^5. We show that the regularized area of these string surfaces is invariant under area preserving diffeomorphisms of the boundary loop, in agreement with the conjecture. Further, we find a connection between the pseudo-holomorphicity equations and an auxiliary sigma-model on S^3, which may help to construct new 1/8-BPS string solutions. We also show that the conjectured relation to 2d Yang-Mills implies that a connected correlator of two Wilson loops is computed by a Hermitian Gaussian two-matrix model. On the AdS dual side, we argue that the connected correlator is described by two disconnected disks interacting through the exchange of supergravity modes, and we show that this agrees with the strong coupling planar limit of the two-matrix model. |
hep-th/9309142 | Andreas Fring | A. Fring and R. K\"oberle | Affine Toda Field Theory in the Presence of Reflecting Boundaries | 21 pages, Latex, USP-IFQSC/TH/93-12 | Nucl.Phys. B419 (1994) 647-664 | 10.1016/0550-3213(94)90349-2 | null | hep-th | null | We show that the ``boundary crossing-unitarity equation" recently proposed by
Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation
for the S-matrix and the wall-bootstrap equation. We solve this set of
equations for all affine Toda theories related to simply laced Lie algebras,
obtaining explicit formulas for the W-matrix which encodes the scattering of a
particle with the boundary in the ground state. For each theory there are two
solutions to these equations, related by CDD-ambiguities, each giving rise to
different kind of physics.
| [
{
"created": "Fri, 24 Sep 1993 14:15:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Fring",
"A.",
""
],
[
"Köberle",
"R.",
""
]
] | We show that the ``boundary crossing-unitarity equation" recently proposed by Ghoshal and Zamolodchikov is a consequence of the boundary bootstrap equation for the S-matrix and the wall-bootstrap equation. We solve this set of equations for all affine Toda theories related to simply laced Lie algebras, obtaining explicit formulas for the W-matrix which encodes the scattering of a particle with the boundary in the ground state. For each theory there are two solutions to these equations, related by CDD-ambiguities, each giving rise to different kind of physics. |
0806.4175 | Joseph Kapusta | J. I. Kapusta and T. Springer | Shear Transport Coefficients from Gauge/Gravity Correspondence | Modifications based on helpful feedback from colleagues and referee | Phys.Rev.D78:066017,2008 | 10.1103/PhysRevD.78.066017 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the shear mode in the gauge/gravity correspondence at finite
temperature. First, we confirm the general formula for the shear viscosity in
an arbitrary background metric which includes a black hole in the fifth
dimension. We then derive a general formula for the shear mode relaxation time
which appears in the theory of relativistic dissipative fluid dynamics; it
agrees with known expressions in the limit of conformal fields. These results
may be useful in relativistic viscous fluid descriptions of high energy nuclear
collisions at RHIC and LHC.
| [
{
"created": "Wed, 25 Jun 2008 18:50:03 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jun 2008 20:12:13 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Sep 2008 19:18:28 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Kapusta",
"J. I.",
""
],
[
"Springer",
"T.",
""
]
] | We study the shear mode in the gauge/gravity correspondence at finite temperature. First, we confirm the general formula for the shear viscosity in an arbitrary background metric which includes a black hole in the fifth dimension. We then derive a general formula for the shear mode relaxation time which appears in the theory of relativistic dissipative fluid dynamics; it agrees with known expressions in the limit of conformal fields. These results may be useful in relativistic viscous fluid descriptions of high energy nuclear collisions at RHIC and LHC. |
1903.07711 | Susobhan Mandal | Susobhan Mandal | Low-energy effective quantum field theoretic description of excitations
about soliton configurations | 19 pages, 2 figures | Annals of Physics 434 (2021) 168652 | 10.1016/j.aop.2021.168652 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Solitons are the classical field configurations connecting two trivial vacua.
These are also the solutions of classical field equations of motion with
particle-like properties. Moreover, they are localized in space, having finite
energy, and are stable against decay into radiation. The coherent state
description of kink-solitons is discussed in the present article. Further, the
relation between topological solitons and occupation numbers corresponding to
low momentum excitations are also discussed coherently. The description of the
low energy excitations about solitons in quantum field theory is the main theme
of this article. Further, a few physical observables, namely some low order
correlation functions, are computed up to certain integral forms. Furthermore,
we have shown that it is possible to detect the presence of soliton-like
classical configurations in many-particle systems from the nature of the
one-point function and non-conservation of momentum feature of one-point,
two-point and three-point functions in this low-energy effective field theory
of these excitations.
| [
{
"created": "Fri, 8 Mar 2019 09:06:27 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Nov 2021 13:17:50 GMT",
"version": "v2"
}
] | 2021-11-10 | [
[
"Mandal",
"Susobhan",
""
]
] | Solitons are the classical field configurations connecting two trivial vacua. These are also the solutions of classical field equations of motion with particle-like properties. Moreover, they are localized in space, having finite energy, and are stable against decay into radiation. The coherent state description of kink-solitons is discussed in the present article. Further, the relation between topological solitons and occupation numbers corresponding to low momentum excitations are also discussed coherently. The description of the low energy excitations about solitons in quantum field theory is the main theme of this article. Further, a few physical observables, namely some low order correlation functions, are computed up to certain integral forms. Furthermore, we have shown that it is possible to detect the presence of soliton-like classical configurations in many-particle systems from the nature of the one-point function and non-conservation of momentum feature of one-point, two-point and three-point functions in this low-energy effective field theory of these excitations. |
1412.8008 | Kei-Ichi Kondo | Kei-Ichi Kondo, Seikou Kato, Akihiro Shibata and Toru Shinohara | Reformulations of the Yang-Mills theory toward quark confinement and
mass gap | 12 pages, 6 figures, 1 table, a contribution to Proc. of XIth Quark
Confinement and the Hadron Spectrum (QCHSXI), 8-12 September 2014, St
Petersburg, Russia | null | null | CHIBA-EP-207 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose the reformulations of the $SU(N)$ Yang-Mills theory toward quark
confinement and mass gap. In fact, we have given a new framework for
reformulating the $SU(N)$ Yang-Mills theory using new field variables. This
includes the preceding works given by Cho, Faddeev and Niemi, as a special case
called the maximal option in our reformulations. The advantage of our
reformulations is that the original non-Abelian gauge field variables can be
changed into the new field variables such that one of them called the
restricted field gives the dominant contribution to quark confinement in the
gauge-independent way. Our reformulations can be combined with the $SU(N)$
extension of the Diakonov-Petrov version of the non-Abelian Stokes theorem for
the Wilson loop operator to give a gauge-invariant definition for the magnetic
monopole in the $SU(N)$ Yang-Mills theory without the scalar field. In the
so-called minimal option, especially, the restricted field is non-Abelian and
involves the non-Abelian magnetic monopole with the stability group $U(N-1)$.
This suggests the non-Abelian dual superconductivity picture for quark
confinement. This should be compared with the maximal option: the restricted
field is Abelian and involves only the Abelian magnetic monopoles with the
stability group $U(1)^{N-1}$, just like the Abelian projection. We give some
applications of this reformulation, e.g., the stability for the homogeneous
chromomagnetic condensation of the Savvidy type, the large N treatment for
deriving the dimensional transmutation and understanding the mass gap, and also
the numerical simulations on a lattice which are given by Dr. Shibata in a
subsequent talk.
| [
{
"created": "Sat, 27 Dec 2014 01:43:02 GMT",
"version": "v1"
}
] | 2014-12-30 | [
[
"Kondo",
"Kei-Ichi",
""
],
[
"Kato",
"Seikou",
""
],
[
"Shibata",
"Akihiro",
""
],
[
"Shinohara",
"Toru",
""
]
] | We propose the reformulations of the $SU(N)$ Yang-Mills theory toward quark confinement and mass gap. In fact, we have given a new framework for reformulating the $SU(N)$ Yang-Mills theory using new field variables. This includes the preceding works given by Cho, Faddeev and Niemi, as a special case called the maximal option in our reformulations. The advantage of our reformulations is that the original non-Abelian gauge field variables can be changed into the new field variables such that one of them called the restricted field gives the dominant contribution to quark confinement in the gauge-independent way. Our reformulations can be combined with the $SU(N)$ extension of the Diakonov-Petrov version of the non-Abelian Stokes theorem for the Wilson loop operator to give a gauge-invariant definition for the magnetic monopole in the $SU(N)$ Yang-Mills theory without the scalar field. In the so-called minimal option, especially, the restricted field is non-Abelian and involves the non-Abelian magnetic monopole with the stability group $U(N-1)$. This suggests the non-Abelian dual superconductivity picture for quark confinement. This should be compared with the maximal option: the restricted field is Abelian and involves only the Abelian magnetic monopoles with the stability group $U(1)^{N-1}$, just like the Abelian projection. We give some applications of this reformulation, e.g., the stability for the homogeneous chromomagnetic condensation of the Savvidy type, the large N treatment for deriving the dimensional transmutation and understanding the mass gap, and also the numerical simulations on a lattice which are given by Dr. Shibata in a subsequent talk. |
1511.07462 | Cesar Ag\'on | Cesar Ag\'on and Thomas Faulkner | Quantum Corrections to Holographic Mutual Information | 16 pages, 2 figures, acknowledges added to match the submitted JHEP
version | null | 10.1007/JHEP08(2016)118 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the leading contribution to the mutual information (MI) of two
disjoint spheres in the large distance regime for arbitrary conformal field
theories (CFT) in any dimension. This is achieved by refining the operator
product expansion method introduced by Cardy \cite{Cardy:2013nua}. For CFTs
with holographic duals the leading contribution to the MI at long distances
comes from bulk quantum corrections to the Ryu-Takayanagi area formula.
According to the FLM proposal\cite{Faulkner:2013ana} this equals the bulk MI
between the two disjoint regions spanned by the boundary spheres and their
corresponding minimal area surfaces. We compute this quantum correction and
provide in this way a non-trivial check of the FLM proposal.
| [
{
"created": "Mon, 23 Nov 2015 21:13:13 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 2015 18:57:08 GMT",
"version": "v2"
},
{
"created": "Thu, 26 May 2016 03:13:33 GMT",
"version": "v3"
}
] | 2016-09-21 | [
[
"Agón",
"Cesar",
""
],
[
"Faulkner",
"Thomas",
""
]
] | We compute the leading contribution to the mutual information (MI) of two disjoint spheres in the large distance regime for arbitrary conformal field theories (CFT) in any dimension. This is achieved by refining the operator product expansion method introduced by Cardy \cite{Cardy:2013nua}. For CFTs with holographic duals the leading contribution to the MI at long distances comes from bulk quantum corrections to the Ryu-Takayanagi area formula. According to the FLM proposal\cite{Faulkner:2013ana} this equals the bulk MI between the two disjoint regions spanned by the boundary spheres and their corresponding minimal area surfaces. We compute this quantum correction and provide in this way a non-trivial check of the FLM proposal. |
1210.0534 | Andy O'Bannon | John Estes, Andy O'Bannon, Efstratios Tsatis, Timm Wrase | Holographic Wilson Loops, Dielectric Interfaces, and Topological
Insulators | v1: 74 pages, 32 eps files in 15 figures; v2: 64 pages, 30 eps files
in 14 figures, significant edits and reorganization of text, figures, and
references, no changes to main results or conclusions, version published in
Phys. Rev. D | Phys. Rev. D 87, 106005 (2013) | 10.1103/PhysRevD.87.106005 | CCTP-2012-18, DAMTP-2012-63, Imperial/TP/2012/JE/01, SU/ITP-12/25 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to study (3+1)-dimensional N=4 supersymmetric SU(Nc)
Yang-Mills theory (SYM) in the large-Nc and large coupling limits, with a
(2+1)-dimensional interface where the Yang-Mills coupling or theta-angle
changes value, or "jumps." We consider interfaces that either break all
supersymmetry or that preserve half of the N=4 supersymmetry thanks to certain
operators localized to the interface. Specifically, we compute the expectation
values of a straight timelike Wilson line and of a rectangular Wilson loop in
the fundamental representation of SU(Nc). The former gives us the self-energy
of a heavy test charge while the latter gives us the potential between heavy
test charges. A jumping coupling or theta-angle acts much like a dielectric
interface in electromagnetism: a self-energy or potential includes the effects
of image charges. N=4 SYM with a jumping theta-angle may also be interpreted as
the low-energy effective description of a fractional topological insulator, as
we explain in detail. For non-supersymmetric interfaces, we find that the
self-energy and potential are qualitatively similar to those in
electromagnetism, despite the differences between N=4 SYM and electromagnetism.
For supersymmetric interfaces, we find dramatic differences from
electromagnetism which depend sensitively on the coupling of the test charge to
the adjoint scalars of N=4 SYM. In particular, we find one special case where a
test charge has vanishing image charge.
| [
{
"created": "Mon, 1 Oct 2012 20:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jun 2013 21:39:08 GMT",
"version": "v2"
}
] | 2013-06-04 | [
[
"Estes",
"John",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Tsatis",
"Efstratios",
""
],
[
"Wrase",
"Timm",
""
]
] | We use holography to study (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory (SYM) in the large-Nc and large coupling limits, with a (2+1)-dimensional interface where the Yang-Mills coupling or theta-angle changes value, or "jumps." We consider interfaces that either break all supersymmetry or that preserve half of the N=4 supersymmetry thanks to certain operators localized to the interface. Specifically, we compute the expectation values of a straight timelike Wilson line and of a rectangular Wilson loop in the fundamental representation of SU(Nc). The former gives us the self-energy of a heavy test charge while the latter gives us the potential between heavy test charges. A jumping coupling or theta-angle acts much like a dielectric interface in electromagnetism: a self-energy or potential includes the effects of image charges. N=4 SYM with a jumping theta-angle may also be interpreted as the low-energy effective description of a fractional topological insulator, as we explain in detail. For non-supersymmetric interfaces, we find that the self-energy and potential are qualitatively similar to those in electromagnetism, despite the differences between N=4 SYM and electromagnetism. For supersymmetric interfaces, we find dramatic differences from electromagnetism which depend sensitively on the coupling of the test charge to the adjoint scalars of N=4 SYM. In particular, we find one special case where a test charge has vanishing image charge. |
hep-th/0302157 | Jerzy Kowalski-Glikman | A. Blaut, M. Daszkiewicz, and J. Kowalski-Glikman | Doubly Special Relativity with light-cone deformation | 12 pages, one reference and acknowledgment added; some mild stylistic
changes in abstract and first section made | Mod.Phys.Lett. A18 (2003) 1711 | 10.1142/S0217732303011587 | null | hep-th | null | We propose a new Doubly Special Relativity theory based on the generalization
of the $\kappa$-deformation of the Poincar\'e algebra acting along one of the
null directions. We recall the quantum Hopf structure of such deformed
Poincar\'e algebra and use it to derive the phase space commutation relations.
As in the DSR based on the standard quantum $\kappa$-Poincar\'e algebra we find
that the space time is non-commutative. We investigate the fate of the
properties of Special Relativity in the null basis: the split of the algebra of
Lorentz and momentum generators into kinematical and dynamical parts, the
action of the kinematical boost $M^{+-}$, and the emergence of the two
dimensional Galilean symmetry.
| [
{
"created": "Wed, 19 Feb 2003 20:16:02 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2003 09:51:46 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Mar 2003 11:44:40 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Blaut",
"A.",
""
],
[
"Daszkiewicz",
"M.",
""
],
[
"Kowalski-Glikman",
"J.",
""
]
] | We propose a new Doubly Special Relativity theory based on the generalization of the $\kappa$-deformation of the Poincar\'e algebra acting along one of the null directions. We recall the quantum Hopf structure of such deformed Poincar\'e algebra and use it to derive the phase space commutation relations. As in the DSR based on the standard quantum $\kappa$-Poincar\'e algebra we find that the space time is non-commutative. We investigate the fate of the properties of Special Relativity in the null basis: the split of the algebra of Lorentz and momentum generators into kinematical and dynamical parts, the action of the kinematical boost $M^{+-}$, and the emergence of the two dimensional Galilean symmetry. |
hep-th/9603197 | Chang-Yeong Lee | Chang-Yeong Lee | Geometrical Interpretation of BRST Symmetry in Topological
Yang-Mills-Higgs Theory | 16 pages, LaTeX file | J.Math.Phys. 37 (1996) 5342-5350 | 10.1063/1.531728 | null | hep-th | null | We study topological Yang-Mills-Higgs theories in two and three dimensions
and topological Yang-Mills theory in four dimensions in a unified framework of
superconnections. In this framework, we first show that a classical action of
topological Yang-Mills type can provide all three classical actions of these
theories via appropriate projections. Then we obtain the BRST and anti-BRST
transformation rules encompassing these three topological theories from an
extended definition of curvature and a geometrical requirement of Bianchi
identity. This is an extension of Perry and Teo's work in the topological
Yang-Mills case. Finally, comparing this result with our previous treatment in
which we used the ``modified horizontality condition", we provide a meaning of
Bianchi identity from the BRST symmetry viewpoint and thus interpret the BRST
symmetry in a geometrical setting.
| [
{
"created": "Fri, 29 Mar 1996 12:22:48 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lee",
"Chang-Yeong",
""
]
] | We study topological Yang-Mills-Higgs theories in two and three dimensions and topological Yang-Mills theory in four dimensions in a unified framework of superconnections. In this framework, we first show that a classical action of topological Yang-Mills type can provide all three classical actions of these theories via appropriate projections. Then we obtain the BRST and anti-BRST transformation rules encompassing these three topological theories from an extended definition of curvature and a geometrical requirement of Bianchi identity. This is an extension of Perry and Teo's work in the topological Yang-Mills case. Finally, comparing this result with our previous treatment in which we used the ``modified horizontality condition", we provide a meaning of Bianchi identity from the BRST symmetry viewpoint and thus interpret the BRST symmetry in a geometrical setting. |
hep-th/9502066 | Eduardo Fradkin | Ninoslav Brali{\'c} (Pontificia Universidad Cat\'olica de Chile),
Eduardo Fradkin (University of Illinois at Urbana-Champaign, USA), Virginia
Manias and Fidel A. Schaposnik (Universidad Nacional de La Plata, Argentina). | Bosonization of Three Dimensional Non-Abelian Fermion Field Theories | 17 pages; plain latex; figure available upon request at
eduardo@paul.physics.uiuc.edu | Nucl.Phys. B446 (1995) 144-158 | 10.1016/0550-3213(95)00225-H | UIUC-CMT-xxx/95 | hep-th | null | We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring
model in the low-energy regime. We find that the bosonized theory is related
(but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free
massive fermions bosonization leads, at low energies, to the pure $SU(N)$
(level $k=1$) Chern-Simons theory.
| [
{
"created": "Sat, 11 Feb 1995 00:16:05 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Brali{ć}",
"Ninoslav",
"",
"Pontificia Universidad Católica de Chile"
],
[
"Fradkin",
"Eduardo",
"",
"University of Illinois at Urbana-Champaign, USA"
],
[
"Manias",
"Virginia",
"",
"Universidad Nacional de La Plata, Argentina"
],
[
"Schaposnik",
"Fidel A.",
"",
"Universidad Nacional de La Plata, Argentina"
],
[
".",
"",
""
]
] | We discuss bosonization in three dimensions of an $SU(N)$ massive Thirring model in the low-energy regime. We find that the bosonized theory is related (but not equal) to $SU(N)$ Yang-Mills-Chern-Simons gauge theory. For free massive fermions bosonization leads, at low energies, to the pure $SU(N)$ (level $k=1$) Chern-Simons theory. |
1504.01484 | Hitoshi Ikemori | Hitoshi Ikemori, Shinsaku Kitakado, Yoshimitsu Matsui, Hideharu Otsu,
Toshiro Sato | Equivariance on Discrete Space and Yang-Mills-Higgs Model | Some discussion added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce the basic equivariant quantity $Q$ in the gauge theory on the
noncommutative descrete $Z_{2}$ space, which plays an important role for the
equivariant dimensional reduction. If the gauge configuration of the ground
state on the extra dimensional space is described by the equivariant $Q$, then
the extra dimensional space is invisible. Especially, using the equivariance
principle, we show that the Yang-Mills theory on $R^{2}\times Z_{2}$ space is
equivalent to the Yang-Mills-Higgs model on $R^{2}$ space. It can be said that
this model is the simplest model of this type.
| [
{
"created": "Tue, 7 Apr 2015 06:26:44 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 2016 03:44:28 GMT",
"version": "v2"
}
] | 2016-02-04 | [
[
"Ikemori",
"Hitoshi",
""
],
[
"Kitakado",
"Shinsaku",
""
],
[
"Matsui",
"Yoshimitsu",
""
],
[
"Otsu",
"Hideharu",
""
],
[
"Sato",
"Toshiro",
""
]
] | We introduce the basic equivariant quantity $Q$ in the gauge theory on the noncommutative descrete $Z_{2}$ space, which plays an important role for the equivariant dimensional reduction. If the gauge configuration of the ground state on the extra dimensional space is described by the equivariant $Q$, then the extra dimensional space is invisible. Especially, using the equivariance principle, we show that the Yang-Mills theory on $R^{2}\times Z_{2}$ space is equivalent to the Yang-Mills-Higgs model on $R^{2}$ space. It can be said that this model is the simplest model of this type. |
hep-th/9811066 | Young-Jai Park | Soon-Tae Hong, Yong-Wan Kim and Young-Jai Park | Consistent Dirac Quantization of SU(2) Skyrmion equivalent to the BFT
Scheme | 12 pages, no figures | Phys.Rev. D59 (1999) 114026 | 10.1103/PhysRevD.59.114026 | SOGANG-HEP 249/98 | hep-th | null | In the framework of Dirac quantization, the SU(2) Skyrmion is canonically
quantized to yield the modified predictions of the static properties of
baryons. We show that the energy spectrum of this Skyrmion obtained by the
Dirac method with the suggestion of generalized momenta is consistent with the
result of the Batalin-Fradkin-Tyutin formalism.
| [
{
"created": "Sat, 7 Nov 1998 02:45:43 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 1999 10:18:24 GMT",
"version": "v2"
},
{
"created": "Tue, 11 May 1999 08:36:58 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hong",
"Soon-Tae",
""
],
[
"Kim",
"Yong-Wan",
""
],
[
"Park",
"Young-Jai",
""
]
] | In the framework of Dirac quantization, the SU(2) Skyrmion is canonically quantized to yield the modified predictions of the static properties of baryons. We show that the energy spectrum of this Skyrmion obtained by the Dirac method with the suggestion of generalized momenta is consistent with the result of the Batalin-Fradkin-Tyutin formalism. |
0912.4282 | Massimo Siani | Marco S. Bianchi, Silvia Penati, Massimo Siani | Infrared Stability of N=2 Chern-Simons Matter Theories | 1+30 pages, 8 figures; v2: references added | JHEP 1005:106,2010 | 10.1007/JHEP05(2010)106 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons
matter theories should have a stable fixed point in the infrared. In order to
support this prediction we study RG flows of two-level Chern-Simons matter
theories with/without flavors induced by the most general marginal
superpotential compatible with N=2 supersymmetry. At two loops we determine the
complete spectrum of fixed points and study their IR stability. Our analysis
covers a large class of models including perturbations of the ABJM/ABJ theories
with and without flavors, N=2,3 theories with different CS levels corresponding
to turning on a Romans mass and beta-deformations. In all cases we find curves
(or surfaces) of fixed points which are globally IR stable but locally unstable
in the following sense: The system has only one direction of stability which in
the ABJM case coincides with the maximal global symmetry preserving
perturbation, whereas along any other direction it flows to a different fixed
point on the surface. The question of conformal invariance vs. finiteness is
also addressed: While in general vanishing beta-functions imply two-loop
finiteness, we find a particular set of flavored theories where this is no
longer true.
| [
{
"created": "Tue, 22 Dec 2009 13:48:31 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Feb 2010 10:01:56 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Bianchi",
"Marco S.",
""
],
[
"Penati",
"Silvia",
""
],
[
"Siani",
"Massimo",
""
]
] | According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons matter theories should have a stable fixed point in the infrared. In order to support this prediction we study RG flows of two-level Chern-Simons matter theories with/without flavors induced by the most general marginal superpotential compatible with N=2 supersymmetry. At two loops we determine the complete spectrum of fixed points and study their IR stability. Our analysis covers a large class of models including perturbations of the ABJM/ABJ theories with and without flavors, N=2,3 theories with different CS levels corresponding to turning on a Romans mass and beta-deformations. In all cases we find curves (or surfaces) of fixed points which are globally IR stable but locally unstable in the following sense: The system has only one direction of stability which in the ABJM case coincides with the maximal global symmetry preserving perturbation, whereas along any other direction it flows to a different fixed point on the surface. The question of conformal invariance vs. finiteness is also addressed: While in general vanishing beta-functions imply two-loop finiteness, we find a particular set of flavored theories where this is no longer true. |
hep-th/9309076 | null | Yi-Zhi Huang and James Lepowsky | A theory of tensor products for module categories for a vertex operator
algebra, I | 65 pages. To appear in Selecta Mathematica. The introduction is
substantially expanded, references are updated, and a few misprints are
corrected | null | null | null | hep-th math.QA | null | This is the first part in a series of papers developing a tensor product
theory for modules for a vertex operator algebra. The goal of this theory is to
construct a ``vertex tensor category'' structure on the category of modules for
a suitable vertex operator algebra. The notion of vertex tensor category is
essentially a ``complex analogue'' of the notion of symmetric tensor category,
and in fact a vertex tensor category produces a braided tensor category in a
natural way. The theory applies in particular to many familiar ``rational''
vertex operator algebras, including those associated with WZNW models, minimal
models and the moonshine module. In this paper (Part I), we introduce the
notions of $P(z)$- and $Q(z)$-tensor product, where $P(z)$ and $Q(z)$ are two
special elements of the moduli space of spheres with punctures and local
coordinates, and we present the fundamental properties and constructions of
$Q(z)$-tensor products.
| [
{
"created": "Tue, 14 Sep 1993 01:58:29 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 1995 16:28:52 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Huang",
"Yi-Zhi",
""
],
[
"Lepowsky",
"James",
""
]
] | This is the first part in a series of papers developing a tensor product theory for modules for a vertex operator algebra. The goal of this theory is to construct a ``vertex tensor category'' structure on the category of modules for a suitable vertex operator algebra. The notion of vertex tensor category is essentially a ``complex analogue'' of the notion of symmetric tensor category, and in fact a vertex tensor category produces a braided tensor category in a natural way. The theory applies in particular to many familiar ``rational'' vertex operator algebras, including those associated with WZNW models, minimal models and the moonshine module. In this paper (Part I), we introduce the notions of $P(z)$- and $Q(z)$-tensor product, where $P(z)$ and $Q(z)$ are two special elements of the moduli space of spheres with punctures and local coordinates, and we present the fundamental properties and constructions of $Q(z)$-tensor products. |
0912.4206 | Mark Goodsell | Mark Goodsell | Light Hidden U(1)s from String Theory | 4 pages, 1 figure. Contribution to the "5th Patras Workshop on
Axions, WIMPs and WISPs", Durham 13-17 July 2009 | null | null | DESY 09-228 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The possible masses and kinetic mixings of hidden U(1)s in the LARGE volume
scenario are discussed, including the generalisation of the compact manifold to
a K3 fibration.
| [
{
"created": "Mon, 21 Dec 2009 16:38:54 GMT",
"version": "v1"
}
] | 2009-12-22 | [
[
"Goodsell",
"Mark",
""
]
] | The possible masses and kinetic mixings of hidden U(1)s in the LARGE volume scenario are discussed, including the generalisation of the compact manifold to a K3 fibration. |
1310.0367 | Bjorn Garbrecht | Bjorn Garbrecht, Gerasimos Rigopoulos, Yi Zhu | Infrared Correlations in de Sitter Space: Field Theoretic vs. Stochastic
Approach | 27 pages, minor corrections, references added | Phys. Rev. D 89, 063506 (2014) | 10.1103/PhysRevD.89.063506 | TUM-HEP-908-13 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider massive \lambda\phi^4 theory in de Sitter background. The mass of
the scalar field \phi is chosen small enough, such that the amplification of
superhorizon momentum modes leads to a significant enhancement of infrared
correlations, but large enough such that perturbation theory remains valid.
Using the Closed-Time-Path approach, we calculate the infrared corrections to
the two-point function of \phi to 2-loop order. To this approximation, we find
agreement with the correlation found using stochastic methods. When breaking
the results down to individual Feynman diagrams obtained by the two different
methods, we observe that these agree as well.
| [
{
"created": "Tue, 1 Oct 2013 16:10:47 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Nov 2013 21:32:45 GMT",
"version": "v2"
}
] | 2014-03-12 | [
[
"Garbrecht",
"Bjorn",
""
],
[
"Rigopoulos",
"Gerasimos",
""
],
[
"Zhu",
"Yi",
""
]
] | We consider massive \lambda\phi^4 theory in de Sitter background. The mass of the scalar field \phi is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant enhancement of infrared correlations, but large enough such that perturbation theory remains valid. Using the Closed-Time-Path approach, we calculate the infrared corrections to the two-point function of \phi to 2-loop order. To this approximation, we find agreement with the correlation found using stochastic methods. When breaking the results down to individual Feynman diagrams obtained by the two different methods, we observe that these agree as well. |
1802.01620 | Stephen G. Naculich | Robert W. Brown and Stephen G. Naculich | KLT-type relations for QCD and bicolor amplitudes from color-factor
symmetry | 24 pages, 2 figures; v2: added reference | null | 10.1007/JHEP03(2018)057 | BOW-PH-166 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Color-factor symmetry is used to derive a KLT-type relation for tree-level
QCD amplitudes containing gluons and an arbitrary number of massive or massless
quark-antiquark pairs, generalizing the expression for Yang-Mills amplitudes
originally postulated by Bern, De Freitas, and Wong. An explicit expression is
given for all amplitudes with two or fewer quark-antiquark pairs in terms of
the (modified) momentum kernel.
We also introduce the bicolor scalar theory, the "zeroth copy" of QCD,
containing massless biadjoint scalars and massive bifundamental scalars,
generalizing the biadjoint scalar theory of Cachazo, He, and Yuan. We derive
KLT-type relations for tree-level amplitudes of biadjoint and bicolor theories
using the color-factor symmetry possessed by these theories.
| [
{
"created": "Mon, 5 Feb 2018 19:36:01 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2018 21:28:43 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"Brown",
"Robert W.",
""
],
[
"Naculich",
"Stephen G.",
""
]
] | Color-factor symmetry is used to derive a KLT-type relation for tree-level QCD amplitudes containing gluons and an arbitrary number of massive or massless quark-antiquark pairs, generalizing the expression for Yang-Mills amplitudes originally postulated by Bern, De Freitas, and Wong. An explicit expression is given for all amplitudes with two or fewer quark-antiquark pairs in terms of the (modified) momentum kernel. We also introduce the bicolor scalar theory, the "zeroth copy" of QCD, containing massless biadjoint scalars and massive bifundamental scalars, generalizing the biadjoint scalar theory of Cachazo, He, and Yuan. We derive KLT-type relations for tree-level amplitudes of biadjoint and bicolor theories using the color-factor symmetry possessed by these theories. |
1610.07146 | Peng Liu | Yi Ling, Peng Liu, Jian-Pin Wu | Note on the butterfly effect in holographic superconductor models | 10 pages, 4 figures; minor revision, one figure added, journal
reference added | Phys. Lett. B 768 (2017) 288 | 10.1016/j.physletb.2017.03.010 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we remark that the butterfly effect can be used to diagnose the
phase transition of superconductivity in a holographic framework. Specifically,
we compute the butterfly velocity in a charged black hole background as well as
anisotropic backgrounds with Q-lattice structure. In both cases we find its
derivative to the temperature is discontinuous at critical points. We also
propose that the butterfly velocity can signalize the occurrence of thermal
phase transition in general holographic models.
| [
{
"created": "Sun, 23 Oct 2016 10:55:38 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2017 05:02:07 GMT",
"version": "v2"
}
] | 2017-03-20 | [
[
"Ling",
"Yi",
""
],
[
"Liu",
"Peng",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | In this note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as anisotropic backgrounds with Q-lattice structure. In both cases we find its derivative to the temperature is discontinuous at critical points. We also propose that the butterfly velocity can signalize the occurrence of thermal phase transition in general holographic models. |
0809.1554 | Rong-Gen Cai | Rong-Gen Cai, Li-Ming Cao, Ya-Peng Hu | Hawking Radiation of Apparent Horizon in a FRW Universe | Latex, 9 paages; v2 published version | Class.Quant.Grav.26:155018,2009 | 10.1088/0264-9381/26/15/155018 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Hawking radiation is an important quantum phenomenon of black hole, which is
closely related to the existence of event horizon of black hole. The
cosmological event horizon of de Sitter space is also of the Hawking radiation
with thermal spectrum. By use of the tunneling approach, we show that there is
indeed a Hawking radiation with temperature, $T=1/2\pi \tilde r_A$, for locally
defined apparent horizon of a Friedmann-Robertson-Walker universe with any
spatial curvature, where $\tilde r_A$ is the apparent horizon radius. Thus we
fill in the gap existing in the literature investigating the relation between
the first law of thermodynamics and Friedmann equations, there the apparent
horizon is assumed to have such a temperature without any proof. In addition,
we stress the implication of the Hawking temperature associated with the
apparent horizon.
| [
{
"created": "Tue, 9 Sep 2008 13:25:00 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jul 2009 16:07:52 GMT",
"version": "v2"
}
] | 2009-07-24 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Cao",
"Li-Ming",
""
],
[
"Hu",
"Ya-Peng",
""
]
] | Hawking radiation is an important quantum phenomenon of black hole, which is closely related to the existence of event horizon of black hole. The cosmological event horizon of de Sitter space is also of the Hawking radiation with thermal spectrum. By use of the tunneling approach, we show that there is indeed a Hawking radiation with temperature, $T=1/2\pi \tilde r_A$, for locally defined apparent horizon of a Friedmann-Robertson-Walker universe with any spatial curvature, where $\tilde r_A$ is the apparent horizon radius. Thus we fill in the gap existing in the literature investigating the relation between the first law of thermodynamics and Friedmann equations, there the apparent horizon is assumed to have such a temperature without any proof. In addition, we stress the implication of the Hawking temperature associated with the apparent horizon. |
hep-th/9609168 | null | V. B. Kopeliovich (INR, Moscow, Russia) | On the quantization of SU(3)-skyrmions | 7 pages, 2 figures (available by request) | JETP Lett. 64 (1996) 426-432; Pisma Zh.Eksp.Teor.Fiz. 64 (1996)
391-396 | 10.1134/1.567215 | null | hep-th | null | The quantization condition derived previously for SU(2) solitons quantized
with SU(3)-collective coordinates is generalized for SU(3) skyrmions with
strangeness content different from zero. Quantization of the dipole-type
configuration with large strangeness content found recently is considered as an
example.
| [
{
"created": "Fri, 20 Sep 1996 11:59:11 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Kopeliovich",
"V. B.",
"",
"INR, Moscow, Russia"
]
] | The quantization condition derived previously for SU(2) solitons quantized with SU(3)-collective coordinates is generalized for SU(3) skyrmions with strangeness content different from zero. Quantization of the dipole-type configuration with large strangeness content found recently is considered as an example. |
1707.02890 | Binoy Patra Krishna | Shubhalaxmi Rath and Binoy Krishna Patra | One-loop QCD thermodynamics in a strong homogeneous and static magnetic
field | 42 pages, 6 figures and 2 diagrams | null | 10.1007/JHEP12(2017)098 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied how the equation of state of thermal QCD with two light
flavours is modified in strong magnetic field by calculating the thermodynamic
observables of hot QCD matter up to one-loop, where the magnetic field affects
mainly the quark contribution and the gluonic part is largely unaffected except
for the softening of the screening mass due to the strong magnetic field. To
begin with the effect of magnetic field on the thermodynamics, we have first
calculated the pressure of a thermal QCD medium in strong magnetic field limit
(SML), where the pressure at fixed temperature increases with the magnetic
field faster than the increase with the temperature at constant magnetic field.
This can be envisaged from the dominant scale of thermal medium in SML, which
is the magnetic field, like the temperature in thermal medium in absence of
strong magnetic field. Thus although the presence of strong magnetic field
makes the pressure of hot QCD medium harder but the increase of pressure with
respect to the temperature becomes less steeper. Corroborated to the above
observations, the entropy density is found to decrease with the temperature in
the ambience of strong magnetic field which resonates with the fact that the
strong magnetic field restricts the dynamics of quarks in two dimensions, hence
the phase space gets squeezed resulting the reduction of number of microstates.
Moreover the energy density is seen to decrease and the speed of sound of
thermal QCD medium is increased in the presence of strong magnetic field. These
crucial findings in strong magnetic field could have phenomenological
implications in heavy ion collisions because the expansion dynamics of the
medium produced in noncentral ultrarelativistic heavy ion collisions is
effectively controlled by both the energy density and the speed of sound.
| [
{
"created": "Mon, 10 Jul 2017 14:53:55 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Rath",
"Shubhalaxmi",
""
],
[
"Patra",
"Binoy Krishna",
""
]
] | We have studied how the equation of state of thermal QCD with two light flavours is modified in strong magnetic field by calculating the thermodynamic observables of hot QCD matter up to one-loop, where the magnetic field affects mainly the quark contribution and the gluonic part is largely unaffected except for the softening of the screening mass due to the strong magnetic field. To begin with the effect of magnetic field on the thermodynamics, we have first calculated the pressure of a thermal QCD medium in strong magnetic field limit (SML), where the pressure at fixed temperature increases with the magnetic field faster than the increase with the temperature at constant magnetic field. This can be envisaged from the dominant scale of thermal medium in SML, which is the magnetic field, like the temperature in thermal medium in absence of strong magnetic field. Thus although the presence of strong magnetic field makes the pressure of hot QCD medium harder but the increase of pressure with respect to the temperature becomes less steeper. Corroborated to the above observations, the entropy density is found to decrease with the temperature in the ambience of strong magnetic field which resonates with the fact that the strong magnetic field restricts the dynamics of quarks in two dimensions, hence the phase space gets squeezed resulting the reduction of number of microstates. Moreover the energy density is seen to decrease and the speed of sound of thermal QCD medium is increased in the presence of strong magnetic field. These crucial findings in strong magnetic field could have phenomenological implications in heavy ion collisions because the expansion dynamics of the medium produced in noncentral ultrarelativistic heavy ion collisions is effectively controlled by both the energy density and the speed of sound. |
hep-th/9706012 | Gerald Dunne | Gerald Dunne (UConn), Joshua Feinberg (ITP, UC Santa-Barbara) | Self-Isospectral Periodic Potentials and Supersymmetric Quantum
Mechanics | 17 pages, ReVTeX, 6 figures, uses epsf | Phys. Rev. D 57, 1271 (1998) | 10.1103/PhysRevD.57.1271 | UCONN-97/10, NSF-ITP-97-054 | hep-th cond-mat nlin.SI solv-int | null | We discuss supersymmetric quantum mechanical models with periodic potentials.
The important new feature is that it is possible for both isospectral
potentials to support zero modes, in contrast to the standard nonperiodic case
where either one or neither (but not both) of the isospectral pair has a zero
mode. Thus it is possible to have supersymmetry unbroken and yet also have a
vanishing Witten index. We present some explicit exactly soluble examples for
which the isospectral potentials have identical band spectra, and which are
``self-isospectral'' in the sense that the potentials have identical shape, but
are translated by one half period relative to one another.
| [
{
"created": "Mon, 2 Jun 1997 19:25:53 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Dunne",
"Gerald",
"",
"UConn"
],
[
"Feinberg",
"Joshua",
"",
"ITP, UC Santa-Barbara"
]
] | We discuss supersymmetric quantum mechanical models with periodic potentials. The important new feature is that it is possible for both isospectral potentials to support zero modes, in contrast to the standard nonperiodic case where either one or neither (but not both) of the isospectral pair has a zero mode. Thus it is possible to have supersymmetry unbroken and yet also have a vanishing Witten index. We present some explicit exactly soluble examples for which the isospectral potentials have identical band spectra, and which are ``self-isospectral'' in the sense that the potentials have identical shape, but are translated by one half period relative to one another. |
1411.0256 | Ashok Das | Ashok K. Das, Sudhakar Panda and J. R. L. Santos | A path integral approach to the Langevin equation | 9 pages, expanded introduction and section II to match with the
accepted version in Int. J. Mod. Phys. A | null | 10.1142/S0217751X15500281 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Langevin equation with both a white noise and a colored noise.
We construct the Lagrangian as well as the Hamiltonian for the generalized
Langevin equation which leads naturally to a path integral description from
first principles. This derivation clarifies the meaning of the additional
fields introduced by Martin, Siggia and Rose in their functional formalism. We
show that the transition amplitude, in this case, is the generating functional
for correlation functions. We work out explicitly the correlation functions for
the Markovian process of the Brownian motion of a free particle as well as for
that of the non-Markovian process of the Brownian motion of a harmonic
oscillator (Uhlenbeck-Ornstein model). The path integral description also leads
to a simple derivation of the Fokker-Planck equation for the generalized
Langevin equation.
| [
{
"created": "Sun, 2 Nov 2014 13:59:13 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jan 2015 05:28:51 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Das",
"Ashok K.",
""
],
[
"Panda",
"Sudhakar",
""
],
[
"Santos",
"J. R. L.",
""
]
] | We study the Langevin equation with both a white noise and a colored noise. We construct the Lagrangian as well as the Hamiltonian for the generalized Langevin equation which leads naturally to a path integral description from first principles. This derivation clarifies the meaning of the additional fields introduced by Martin, Siggia and Rose in their functional formalism. We show that the transition amplitude, in this case, is the generating functional for correlation functions. We work out explicitly the correlation functions for the Markovian process of the Brownian motion of a free particle as well as for that of the non-Markovian process of the Brownian motion of a harmonic oscillator (Uhlenbeck-Ornstein model). The path integral description also leads to a simple derivation of the Fokker-Planck equation for the generalized Langevin equation. |
2208.10567 | Andrey Shkerin | Tony Gherghetta and Andrey Shkerin | Out of this world neutrino oscillations | 9 pages, 1 figure. v2: version published in PRD | Phys.Rev.D 108 (2023) 7, 075018 | 10.1103/PhysRevD.108.075018 | FTPI-MINN-22-22, UMN-TH-4131/22 | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study how vacuum neutrino oscillations can be affected by a causal,
nonlinear and state-dependent modification of quantum field theory that may be
interpreted using the many-worlds formulation of quantum mechanics. The effect
is induced by a Higgs-neutrino Yukawa interaction that causes a nonlinear
interference between the neutrino mass eigenstates. This leads to a tiny change
in the oscillation pattern of light, active neutrinos without altering the
oscillation frequencies. At large baselines where the oscillations disappear,
the nonlinear effect is also suppressed and does not source correlations
between the mass eigenstates once they are entangled with the environment. Our
example provides a way to compute effects of nonlinear quantum mechanics and
field theory that may probe the possible physical reality of many worlds.
| [
{
"created": "Mon, 22 Aug 2022 19:49:01 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Nov 2023 12:43:22 GMT",
"version": "v2"
}
] | 2023-11-06 | [
[
"Gherghetta",
"Tony",
""
],
[
"Shkerin",
"Andrey",
""
]
] | We study how vacuum neutrino oscillations can be affected by a causal, nonlinear and state-dependent modification of quantum field theory that may be interpreted using the many-worlds formulation of quantum mechanics. The effect is induced by a Higgs-neutrino Yukawa interaction that causes a nonlinear interference between the neutrino mass eigenstates. This leads to a tiny change in the oscillation pattern of light, active neutrinos without altering the oscillation frequencies. At large baselines where the oscillations disappear, the nonlinear effect is also suppressed and does not source correlations between the mass eigenstates once they are entangled with the environment. Our example provides a way to compute effects of nonlinear quantum mechanics and field theory that may probe the possible physical reality of many worlds. |
hep-th/0302065 | S. Mignemi | S. Mignemi | On the definition of velocity in theories with two observer-independent
scales | 6 pages, plain LaTeX | Phys.Lett. A316 (2003) 173-176 | 10.1016/S0375-9601(03)01176-9 | null | hep-th | null | We argue that a consistent definition of the velocity of a particle in
generalizations of special relativity with two observer-independent scales
should be independent from the mass of the particle. This request rules out the
definition $v_i=\partial p_0/\partial p_i$, but allows for other definitions
proposed in the literature.
| [
{
"created": "Mon, 10 Feb 2003 18:32:15 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Mignemi",
"S.",
""
]
] | We argue that a consistent definition of the velocity of a particle in generalizations of special relativity with two observer-independent scales should be independent from the mass of the particle. This request rules out the definition $v_i=\partial p_0/\partial p_i$, but allows for other definitions proposed in the literature. |
2407.13836 | Giorgi Butbaia | Per Berglund, Giorgi Butbaia, Tristan H\"ubsch, Vishnu Jejjala,
Dami\'an Mayorga Pe\~na, Challenger Mishra, Justin Tan | Precision String Phenomenology | 7 pages, 3 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Calabi--Yau compactifications of the $E_8\times E_8$ heterotic string provide
a promising route to recovering the four-dimensional particle physics described
by the Standard Model. While the topology of the Calabi--Yau space determines
the overall matter content in the low-energy effective field theory, further
details of the compactification geometry are needed to calculate the normalized
physical couplings and masses of elementary particles. In this work, we present
numerical computations of physical Yukawa couplings in a number of heterotic
models in the standard embedding and demonstrate the existence of natural
hierarchies, a coveted feature in string model building.
| [
{
"created": "Thu, 18 Jul 2024 18:09:10 GMT",
"version": "v1"
}
] | 2024-07-22 | [
[
"Berglund",
"Per",
""
],
[
"Butbaia",
"Giorgi",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Peña",
"Damián Mayorga",
""
],
[
"Mishra",
"Challenger",
""
],
[
"Tan",
"Justin",
""
]
] | Calabi--Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi--Yau space determines the overall matter content in the low-energy effective field theory, further details of the compactification geometry are needed to calculate the normalized physical couplings and masses of elementary particles. In this work, we present numerical computations of physical Yukawa couplings in a number of heterotic models in the standard embedding and demonstrate the existence of natural hierarchies, a coveted feature in string model building. |
1808.07963 | Allen Stern | A. Stern and Chuang Xu | Signature change in matrix model solutions | 30 pages, 8 figures | Phys. Rev. D 98, 086015 (2018) | 10.1103/PhysRevD.98.086015 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Various classical solutions to lower dimensional IKKT-like Lorentzian matrix
models are examined in their commutative limit. Poisson manifolds emerge in
this limit, and their associated induced and effective metrics are computed.
Signature change is found to be a common feature of these manifolds when
quadratic and cubic terms are included in the bosonic action. In fact, a single
manifold may exhibit multiple signature changes. Regions with Lorentzian
signature may serve as toy models for cosmological space-times, complete with
cosmological singularities, occurring at the signature change. The
singularities are resolved away from the commutative limit. Toy models of open
and closed cosmological space-times are given in two and four dimensions. The
four dimensional cosmologies are constructed from non-commutative complex
projective spaces, and they are found to display a rapid expansion near the
initial singularity.
| [
{
"created": "Thu, 23 Aug 2018 23:11:30 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Oct 2018 18:45:06 GMT",
"version": "v2"
}
] | 2018-10-22 | [
[
"Stern",
"A.",
""
],
[
"Xu",
"Chuang",
""
]
] | Various classical solutions to lower dimensional IKKT-like Lorentzian matrix models are examined in their commutative limit. Poisson manifolds emerge in this limit, and their associated induced and effective metrics are computed. Signature change is found to be a common feature of these manifolds when quadratic and cubic terms are included in the bosonic action. In fact, a single manifold may exhibit multiple signature changes. Regions with Lorentzian signature may serve as toy models for cosmological space-times, complete with cosmological singularities, occurring at the signature change. The singularities are resolved away from the commutative limit. Toy models of open and closed cosmological space-times are given in two and four dimensions. The four dimensional cosmologies are constructed from non-commutative complex projective spaces, and they are found to display a rapid expansion near the initial singularity. |
1911.00519 | Aidan Chatwin-Davies | Ning Bao, Aidan Chatwin-Davies, Benjamin E. Niehoff, Mykhaylo Usatyuk | Bulk Reconstruction Beyond the Entanglement Wedge | 6 pages, 1 figure; v3 updated to reflect published version | Phys. Rev. D 101, 066011 (2020) | 10.1103/PhysRevD.101.066011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the portion of an asymptotically Anti de Sitter geometry's bulk
where the metric can be reconstructed, given the areas of minimal 2-surfaces
anchored to a fixed boundary subregion. We exhibit situations in which this
region can reach parametrically far outside of the entanglement wedge. If the
setting is furthermore holographic, so that the bulk geometry is dual to a
state in a conformal field theory (CFT), these minimal 2-surface areas can be
deduced from the expectation values of operators localized within the boundary
subregion. This presents us with an alternative: Either the reduced CFT state
encodes significant information about the bulk beyond the entanglement wedge,
challenging conventional intuition about holographic subregion duality; or the
reduced CFT state fails to contain information about operators whose
expectation values give the areas of minimal 2-surfaces anchored within that
subregion, challenging conventional intuition about the holographic dictionary.
| [
{
"created": "Fri, 1 Nov 2019 18:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2019 14:18:33 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Apr 2020 14:06:32 GMT",
"version": "v3"
}
] | 2020-04-10 | [
[
"Bao",
"Ning",
""
],
[
"Chatwin-Davies",
"Aidan",
""
],
[
"Niehoff",
"Benjamin E.",
""
],
[
"Usatyuk",
"Mykhaylo",
""
]
] | We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can reach parametrically far outside of the entanglement wedge. If the setting is furthermore holographic, so that the bulk geometry is dual to a state in a conformal field theory (CFT), these minimal 2-surface areas can be deduced from the expectation values of operators localized within the boundary subregion. This presents us with an alternative: Either the reduced CFT state encodes significant information about the bulk beyond the entanglement wedge, challenging conventional intuition about holographic subregion duality; or the reduced CFT state fails to contain information about operators whose expectation values give the areas of minimal 2-surfaces anchored within that subregion, challenging conventional intuition about the holographic dictionary. |
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