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/0012214 | Dietmar Klemm | Dietmar Klemm | Dualities in D=5, N=2 Supergravity, Black Hole Entropy, and AdS Central
Charges | LaTeX, 9 pages, needs buckow.sty, contribution to the proceedings of
the RTN-workshop "The Quantum Structure of Spacetime and the Geometric Nature
of Fundamental Interactions", Berlin, October 2000 | Fortsch.Phys. 49 (2001) 581-589 | 10.1002/1521-3978(200105)49:4/6<581::AID-PROP581>3.0.CO;2-E | IFUM-672-FT | hep-th | null | The issue of microstate counting for general black holes in D=5, N=2
supergravity coupled to vector multiplets is discussed from various viewpoints.
The statistical entropy is computed for the near-extremal case by using the
central charge appearing in the asymptotic symmetry algebra of AdS_2.
Furthermore, we show that the considered supergravity theory enjoys a duality
invariance which connects electrically charged black holes and magnetically
charged black strings. The near-horizon geometry of the latter turns out to be
AdS_3 x S^2, which allows a microscopic calculation of their entropy using the
Brown-Henneaux central charges in Cardy's formula. In both approaches we find
perfect agreement between statistical and thermodynamical entropy.
| [
{
"created": "Thu, 21 Dec 2000 17:12:21 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Klemm",
"Dietmar",
""
]
] | The issue of microstate counting for general black holes in D=5, N=2 supergravity coupled to vector multiplets is discussed from various viewpoints. The statistical entropy is computed for the near-extremal case by using the central charge appearing in the asymptotic symmetry algebra of AdS_2. Furthermore, we show that the considered supergravity theory enjoys a duality invariance which connects electrically charged black holes and magnetically charged black strings. The near-horizon geometry of the latter turns out to be AdS_3 x S^2, which allows a microscopic calculation of their entropy using the Brown-Henneaux central charges in Cardy's formula. In both approaches we find perfect agreement between statistical and thermodynamical entropy. |
2306.11896 | Aleix Gimenez-Grau | Aleix Gimenez-Grau | The Witten Diagram Bootstrap for Holographic Defects | 43 + 10 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the AdS/CFT correspondence with a brane extending in AdS, a setup
which is dual to CFT in the presence of a defect. We focus on the correlation
function of two local operators and the defect, which is the simplest
observable with non-trivial dependence on kinematical invariants. We propose a
method to bootstrap this observable which relies on supersymmetry, but does not
require detailed knowledge of the supergravity and brane effective actions.
After developing the method in full generality, we turn to the case of two
chiral-primary operators and a half-BPS Wilson loop in $\mathcal N=4$ SYM.
Working in the leading supergravity approximation, we determine the correlator
in closed form for chiral-primary operators of arbitrary length. The result has
elegant expressions in position and Mellin space, and it agrees with
localization and an explicit calculation up to contact terms. More generally,
we expect our method to be suitable in other holographic setups in the presence
of supersymmetric defects.
| [
{
"created": "Tue, 20 Jun 2023 21:18:32 GMT",
"version": "v1"
}
] | 2023-06-22 | [
[
"Gimenez-Grau",
"Aleix",
""
]
] | We study the AdS/CFT correspondence with a brane extending in AdS, a setup which is dual to CFT in the presence of a defect. We focus on the correlation function of two local operators and the defect, which is the simplest observable with non-trivial dependence on kinematical invariants. We propose a method to bootstrap this observable which relies on supersymmetry, but does not require detailed knowledge of the supergravity and brane effective actions. After developing the method in full generality, we turn to the case of two chiral-primary operators and a half-BPS Wilson loop in $\mathcal N=4$ SYM. Working in the leading supergravity approximation, we determine the correlator in closed form for chiral-primary operators of arbitrary length. The result has elegant expressions in position and Mellin space, and it agrees with localization and an explicit calculation up to contact terms. More generally, we expect our method to be suitable in other holographic setups in the presence of supersymmetric defects. |
hep-th/0011273 | Andrei Litvintsev | Alfred Scharff Goldhaber, Andrei Litvintsev and Peter van
Nieuwenhuizen | New results for the quantum supersymmetric kink | 8 pages, 8 figures | null | null | YITP-00-73 | hep-th | null | We review our work on computations of the quantum corrections to the mass and
the central charge of the susy kink. For the mass corrections, we find that the
widely used momentum cut-off scheme gives an incorrect result, but we deduce
through smoothing of the cut-off an extra term in the mass formula, which
produces the correct result. We discover the importance of boundary effects for
the mode number cut-off regularization scheme. We introduce the notion of
delocalized boundary energy. We discuss two discrete $Z_2$ symmetries and their
importance to the mode number approach. For the central charge corrections, we
use momentum cut-off regularization with two cut-offs, one for propagators and
another for Dirac delta functions. We then compute the quantum anomaly in the
central charge, and find that it restores the BPS bound at the one-loop level
if the two cut-offs are equal.
| [
{
"created": "Wed, 29 Nov 2000 16:55:40 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Goldhaber",
"Alfred Scharff",
""
],
[
"Litvintsev",
"Andrei",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] | We review our work on computations of the quantum corrections to the mass and the central charge of the susy kink. For the mass corrections, we find that the widely used momentum cut-off scheme gives an incorrect result, but we deduce through smoothing of the cut-off an extra term in the mass formula, which produces the correct result. We discover the importance of boundary effects for the mode number cut-off regularization scheme. We introduce the notion of delocalized boundary energy. We discuss two discrete $Z_2$ symmetries and their importance to the mode number approach. For the central charge corrections, we use momentum cut-off regularization with two cut-offs, one for propagators and another for Dirac delta functions. We then compute the quantum anomaly in the central charge, and find that it restores the BPS bound at the one-loop level if the two cut-offs are equal. |
2001.00788 | Adolfo Cisterna A.C | Adolfo Cisterna, Sebasti\'an Fuenzalida and Julio Oliva | Lovelock black p-branes with fluxes | 16 pages, no figures | Phys. Rev. D 101, 064055 (2020) | 10.1103/PhysRevD.101.064055 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we construct compactifications of generic, higher curvature
Lovelock theories of gravity over direct product spaces of the type
$\mathcal{M}_D=\mathcal{M}_d \times \mathcal{S}^p $, with $D=d+p$ and $d\ge5$,
where $\mathcal{S}^p$ represents an internal, Euclidean manifold of positive
constant curvature. We show that this can be accomplished by including suitable
non-minimally coupled $p-1$-form fields with a field strength proportional to
the volume form of the internal space. We provide explicit details of this
constructions for the Einstein-Gauss-Bonnet theory in $d+2$ and $d+3$
dimensions by using one and two-form fundamental fields, and provide as well
the formulae that allows to construct the same family of compactification in
any Lovelock theory from dimension $d+p$ to dimension $d$. These fluxed
compactifications lead to an effective Lovelock theory on the compactfied
manifold, allowing therefore to find, in the Einstein-Gauss-Bonnet case, black
holes in the Boulware-Deser family.
| [
{
"created": "Fri, 3 Jan 2020 11:26:04 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 2020 09:52:56 GMT",
"version": "v2"
}
] | 2020-04-01 | [
[
"Cisterna",
"Adolfo",
""
],
[
"Fuenzalida",
"Sebastián",
""
],
[
"Oliva",
"Julio",
""
]
] | In this paper we construct compactifications of generic, higher curvature Lovelock theories of gravity over direct product spaces of the type $\mathcal{M}_D=\mathcal{M}_d \times \mathcal{S}^p $, with $D=d+p$ and $d\ge5$, where $\mathcal{S}^p$ represents an internal, Euclidean manifold of positive constant curvature. We show that this can be accomplished by including suitable non-minimally coupled $p-1$-form fields with a field strength proportional to the volume form of the internal space. We provide explicit details of this constructions for the Einstein-Gauss-Bonnet theory in $d+2$ and $d+3$ dimensions by using one and two-form fundamental fields, and provide as well the formulae that allows to construct the same family of compactification in any Lovelock theory from dimension $d+p$ to dimension $d$. These fluxed compactifications lead to an effective Lovelock theory on the compactfied manifold, allowing therefore to find, in the Einstein-Gauss-Bonnet case, black holes in the Boulware-Deser family. |
0908.2346 | Sujoy Modak | Rabin Banerjee, Sujoy Kumar Modak | Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy
Correction for Lovelock Black Holes | minor modifications, two new references added, LaTeX, JHEP style, 34
pages, no figures, to appear in JHEP | JHEP 0911:073,2009 | 10.1088/1126-6708/2009/11/073 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show, using the tunneling method, that Lovelock black holes Hawking
radiate with a perfect blackbody spectrum. This is a new result. Within the
semiclassical (WKB) approximation the temperature of the spectrum is given by
the semiclassical Hawking temperature. Beyond the semiclassical approximation
the thermal nature of the spectrum does not change but the temperature
undergoes some higher order corrections. This is true for both black hole
(event) and cosmological horizons. Using the first law of thermodynamics the
black hole entropy is calculated. Specifically the $D$-dimensional static,
chargeless black hole solutions which are spherically symmetric and
asymptotically flat, AdS or dS are considered. The interesting property of
these black holes is that their semiclassical entropy does not obey the
Bekenstein-Hawking area law. It is found that the leading correction to the
semiclassical entropy for these black holes is not logarithmic and next to
leading correction is also not inverse of horizon area. This is in contrast to
the black holes in Einstein gravity. The modified result is due to the presence
of Gauss-Bonnet term in the Lovelock Lagrangian. For the limit where the
coupling constant of the Gauss-Bonnet term vanishes one recovers the known
correctional terms as expected in Einstein gravity. Finally we relate the
coefficient of the leading (non-logarithmic) correction with the trace anomaly
of the stress tensor.
| [
{
"created": "Mon, 17 Aug 2009 12:42:26 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Nov 2009 07:24:12 GMT",
"version": "v2"
}
] | 2009-11-23 | [
[
"Banerjee",
"Rabin",
""
],
[
"Modak",
"Sujoy Kumar",
""
]
] | We show, using the tunneling method, that Lovelock black holes Hawking radiate with a perfect blackbody spectrum. This is a new result. Within the semiclassical (WKB) approximation the temperature of the spectrum is given by the semiclassical Hawking temperature. Beyond the semiclassical approximation the thermal nature of the spectrum does not change but the temperature undergoes some higher order corrections. This is true for both black hole (event) and cosmological horizons. Using the first law of thermodynamics the black hole entropy is calculated. Specifically the $D$-dimensional static, chargeless black hole solutions which are spherically symmetric and asymptotically flat, AdS or dS are considered. The interesting property of these black holes is that their semiclassical entropy does not obey the Bekenstein-Hawking area law. It is found that the leading correction to the semiclassical entropy for these black holes is not logarithmic and next to leading correction is also not inverse of horizon area. This is in contrast to the black holes in Einstein gravity. The modified result is due to the presence of Gauss-Bonnet term in the Lovelock Lagrangian. For the limit where the coupling constant of the Gauss-Bonnet term vanishes one recovers the known correctional terms as expected in Einstein gravity. Finally we relate the coefficient of the leading (non-logarithmic) correction with the trace anomaly of the stress tensor. |
1804.07322 | Gerardo Aldazabal | Gerardo Aldazabal, Luis E. Ib\'a\~nez | A Note on 4D Heterotic String Vacua, FI-terms and the Swampland | 11 pages, no figures | null | 10.1016/j.physletb.2018.05.061 | IFT-UAM/CSIC-18-039 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a conjecture for the massless sector of perturbative 4D $N=1$
heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them
possibly anomalous (like in standard heterotic compactifications).
Mathematically it states that the positive hull generated by the charges of the
massless chiral multiplets spans a sublattice of the full charge lattice. We
have tested this conjecture in many heterotic $N=1$ compactifications in 4D.
Our motivation for this conjecture is that it allows to understand a very old
puzzle in $(0,2)$ $N=1$ heterotic compactification with an anomalous $U(1)$.
The conjecture guarantees that there is always a D-flat direction cancelling
the FI-term and restoring $N=1$ SUSY in a nearby vacuum. This is something that
has being verified in the past in a large number of cases, but whose origin has
remained obscure for decades. We argue that the existence of this lattice of
massless states guarantees the instability of heterotic non-BPS extremal
blackholes, as required by Weak Gravity Conjecture arguments. Thus the
pervasive existence of these nearby FI-cancelling vacua would be connected with
WGC arguments.
| [
{
"created": "Thu, 19 Apr 2018 18:22:46 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Aldazabal",
"Gerardo",
""
],
[
"Ibáñez",
"Luis E.",
""
]
] | We present a conjecture for the massless sector of perturbative 4D $N=1$ heterotic $(0,2)$ string vacua, including $U(1)^n$ gauge symmetries,one of them possibly anomalous (like in standard heterotic compactifications). Mathematically it states that the positive hull generated by the charges of the massless chiral multiplets spans a sublattice of the full charge lattice. We have tested this conjecture in many heterotic $N=1$ compactifications in 4D. Our motivation for this conjecture is that it allows to understand a very old puzzle in $(0,2)$ $N=1$ heterotic compactification with an anomalous $U(1)$. The conjecture guarantees that there is always a D-flat direction cancelling the FI-term and restoring $N=1$ SUSY in a nearby vacuum. This is something that has being verified in the past in a large number of cases, but whose origin has remained obscure for decades. We argue that the existence of this lattice of massless states guarantees the instability of heterotic non-BPS extremal blackholes, as required by Weak Gravity Conjecture arguments. Thus the pervasive existence of these nearby FI-cancelling vacua would be connected with WGC arguments. |
0907.1503 | Oleksandr Gamayun | O. Gamayun, A. Marshakov | First Order String Theory and the Kodaira-Spencer Equations. II | 21 pages, 3 figures | null | 10.1088/1126-6708/2009/09/065 | FIAN/TD-09/09, ITEP/TH-26/09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first-order bosonic string theory, perturbed by primary operator,
corresponding to the deformation of target-space complex structure is
considered. We compute the correlation functions in this theory and study their
divergencies. It is found, that consistency of these correlation functions with
the world-sheet conformal invariance requires the Kodaira-Spencer equations to
be satisfied by target-space Beltrami differentials. This statement is checked
explicitly for the three-point and four-point correlators, containing one probe
operator. We discuss the origin of these divergences and their relation with
beta-functions or effective action and polyvertex structures in BRST approach.
| [
{
"created": "Thu, 9 Jul 2009 11:17:17 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Gamayun",
"O.",
""
],
[
"Marshakov",
"A.",
""
]
] | The first-order bosonic string theory, perturbed by primary operator, corresponding to the deformation of target-space complex structure is considered. We compute the correlation functions in this theory and study their divergencies. It is found, that consistency of these correlation functions with the world-sheet conformal invariance requires the Kodaira-Spencer equations to be satisfied by target-space Beltrami differentials. This statement is checked explicitly for the three-point and four-point correlators, containing one probe operator. We discuss the origin of these divergences and their relation with beta-functions or effective action and polyvertex structures in BRST approach. |
hep-th/9501125 | Ferrari Franco | F. Ferrari and J. Sobczyk | Operator formalism for b-c systems with $\lambda=1$ on general algebraic
curves | 14 pages, plain TeX + harvmac | null | null | UTF 343, IFT UWr 886/95 | hep-th | null | In this letter we develope an operator formalism for the $b-c$ systems with
conformal weight $\lambda=1$ defined on a general closed and orientable Riemann
surface. The advantage of our approach is that the Riemann surface is
represented as an affine algebraic curve. In this way it is possible to perform
explicit calculations in string theory at any perturbative order. Besides the
obvious applications in string theories and conformal field theories, (the
$b-c$ systems at $\lambda=1$ are intimately related to the free scalar field
theory), the operator formalism presented here sheds some light also on the
quantization of field theories on Riemann surfaces. In fact, we are able to
construct explicitly the vacuum state of the $b-c$ systems and to define
creation and annihilation operators. All the amplitudes are rigorously computed
using simple normal ordering prescriptions as in the flat case.
| [
{
"created": "Fri, 27 Jan 1995 10:40:22 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Ferrari",
"F.",
""
],
[
"Sobczyk",
"J.",
""
]
] | In this letter we develope an operator formalism for the $b-c$ systems with conformal weight $\lambda=1$ defined on a general closed and orientable Riemann surface. The advantage of our approach is that the Riemann surface is represented as an affine algebraic curve. In this way it is possible to perform explicit calculations in string theory at any perturbative order. Besides the obvious applications in string theories and conformal field theories, (the $b-c$ systems at $\lambda=1$ are intimately related to the free scalar field theory), the operator formalism presented here sheds some light also on the quantization of field theories on Riemann surfaces. In fact, we are able to construct explicitly the vacuum state of the $b-c$ systems and to define creation and annihilation operators. All the amplitudes are rigorously computed using simple normal ordering prescriptions as in the flat case. |
1003.2396 | N. E. J. Bjerrum-Bohr | N. E. J. Bjerrum-Bohr and Pierre Vanhove | Monodromy and Kawai-Lewellen-Tye Relations for Gravity Amplitudes | 6 pages, 12th Marcel Grossman meeting 2009 | null | null | IPHT-T10/023, IHES/P/10/07 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We are still learning intriguing new facets of the string theory motivated
Kawai-Lewellen-Tye (KLT) relations linking products of amplitudes in Yang-Mills
theories and amplitudes in gravity. This is very clearly displayed in
computations of N=8 supergravity where the perturbative expansion show a vast
number of similarities to that of N=4 super-Yang-Mills. We will here
investigate how identities based on monodromy relations for Yang-Mills
amplitudes can be very useful for organizing and further streamlining the KLT
relations yielding even more compact results for gravity amplitudes.
| [
{
"created": "Thu, 11 Mar 2010 19:28:40 GMT",
"version": "v1"
}
] | 2010-03-12 | [
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Vanhove",
"Pierre",
""
]
] | We are still learning intriguing new facets of the string theory motivated Kawai-Lewellen-Tye (KLT) relations linking products of amplitudes in Yang-Mills theories and amplitudes in gravity. This is very clearly displayed in computations of N=8 supergravity where the perturbative expansion show a vast number of similarities to that of N=4 super-Yang-Mills. We will here investigate how identities based on monodromy relations for Yang-Mills amplitudes can be very useful for organizing and further streamlining the KLT relations yielding even more compact results for gravity amplitudes. |
1802.10103 | Aitor Lewkowycz | Aitor Lewkowycz and Onkar Parrikar | The Holographic Shape of Entanglement and Einstein's Equations | 37 pages, 3 figures | null | 10.1007/JHEP05(2018)147 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study shape-deformations of the entanglement entropy and the modular
Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry)
in a holographic conformal field theory. More precisely, we study a
double-deformation comprising of a shape deformation together with a state
deformation, where the latter corresponds to a small change in the bulk
geometry. Using a purely gravitational identity from the Hollands-Iyer-Wald
formalism together with the assumption of equality between bulk and boundary
modular flows for the original, undeformed state and subregion, we rewrite a
purely CFT expression for this double deformation of the entropy in terms of
bulk gravitational variables and show that it precisely agrees with the
Ryu-Takayanagi formula including quantum corrections. As a corollary, this
gives a novel, CFT derivation of the JLMS formula for arbitrary subregions in
the vacuum, without using the replica trick. Finally, we use our results to
give an argument that if a general, asymptotically AdS spacetime satisfies the
Ryu-Takayanagi formula for arbitrary subregions, then it must necessarily
satisfy the non-linear Einstein equation.
| [
{
"created": "Tue, 27 Feb 2018 19:00:03 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Lewkowycz",
"Aitor",
""
],
[
"Parrikar",
"Onkar",
""
]
] | We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation comprising of a shape deformation together with a state deformation, where the latter corresponds to a small change in the bulk geometry. Using a purely gravitational identity from the Hollands-Iyer-Wald formalism together with the assumption of equality between bulk and boundary modular flows for the original, undeformed state and subregion, we rewrite a purely CFT expression for this double deformation of the entropy in terms of bulk gravitational variables and show that it precisely agrees with the Ryu-Takayanagi formula including quantum corrections. As a corollary, this gives a novel, CFT derivation of the JLMS formula for arbitrary subregions in the vacuum, without using the replica trick. Finally, we use our results to give an argument that if a general, asymptotically AdS spacetime satisfies the Ryu-Takayanagi formula for arbitrary subregions, then it must necessarily satisfy the non-linear Einstein equation. |
2302.12281 | Jackson Fliss | Alejandra Castro, Ioana Coman, Jackson R. Fliss, Claire Zukowski | Keeping matter in the loop in dS$_3$ quantum gravity | 48 pages + appendices; v2: final version for JHEP, minor edits; v3:
author correction added in footnote 30 | null | 10.1007/JHEP07(2023)120 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a mechanism that couples matter fields to three-dimensional de
Sitter quantum gravity. Our construction is based on the Chern-Simons
formulation of three-dimensional Euclidean gravity, and it centers on a
collection of Wilson loops winding around Euclidean de Sitter space. We coin
this object a Wilson spool. To construct the spool, we build novel
representations of $\mathfrak{su}(2)$. To evaluate the spool, we adapt and
exploit several known exact results in Chern-Simons theory. Our proposal
correctly reproduces the one-loop determinant of a free massive scalar field on
$S^3$ as $G_N\to 0$. Moreover, allowing for quantum metric fluctuations, it can
be systematically evaluated to any order in perturbation theory.
| [
{
"created": "Thu, 23 Feb 2023 19:06:35 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2023 16:06:44 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jul 2024 14:35:30 GMT",
"version": "v3"
}
] | 2024-07-31 | [
[
"Castro",
"Alejandra",
""
],
[
"Coman",
"Ioana",
""
],
[
"Fliss",
"Jackson R.",
""
],
[
"Zukowski",
"Claire",
""
]
] | We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of $\mathfrak{su}(2)$. To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on $S^3$ as $G_N\to 0$. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory. |
1406.6457 | Kazuki Hinoue | Kazuki Hinoue, Shun'ya Mizoguchi, Yukinori Yasui | Supersymmetric heterotic solutions via non-SU(3) standard embedding | 9 pages with 4 figures; added 1 reference for section 4 | Phys. Rev. D 90, 106009 (2014) | 10.1103/PhysRevD.90.106009 | OCU-PHYS 400, KEK-TH 1744 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A supersymmetric solution to type II supergravity is constructed by
superposing two hyperk\"ahlers with torsion metrics. The solution is given by a
K\"aler with torsion metric with $SU(3)$ holonomy. The metric is embedded into
a heterotic solution obeying the Strominger system, together with a Yang-Mills
instanton obtained by the standard embedding. T dualities lead to an $SO(6)$
instanton describing a symmetry breaking from $E_8$ to $SO(10)$. The
compactification by taking a periodic array yields a supersymmetric domain wall
solution of heterotic supergravity.
| [
{
"created": "Wed, 25 Jun 2014 05:06:04 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jan 2015 09:57:13 GMT",
"version": "v2"
}
] | 2015-01-12 | [
[
"Hinoue",
"Kazuki",
""
],
[
"Mizoguchi",
"Shun'ya",
""
],
[
"Yasui",
"Yukinori",
""
]
] | A supersymmetric solution to type II supergravity is constructed by superposing two hyperk\"ahlers with torsion metrics. The solution is given by a K\"aler with torsion metric with $SU(3)$ holonomy. The metric is embedded into a heterotic solution obeying the Strominger system, together with a Yang-Mills instanton obtained by the standard embedding. T dualities lead to an $SO(6)$ instanton describing a symmetry breaking from $E_8$ to $SO(10)$. The compactification by taking a periodic array yields a supersymmetric domain wall solution of heterotic supergravity. |
1201.6366 | Sho Yaida | Allan Adams, Sho Yaida | Disordered Holographic Systems II: Marginal Relevance of Imperfection | 4 pages | Phys. Rev. D 90, 046007 (2014) | 10.1103/PhysRevD.90.046007 | MIT-CTP-4344 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue our study of quenched disorder in holographic systems, focusing
on the effects of mild electric disorder. By studying the renormalization group
evolution of the disorder distribution at subleading order in perturbations
away from the clean fixed point, we show that electric disorder is marginally
relevant in (2+1)-dimensional holographic conformal field theories.
| [
{
"created": "Mon, 30 Jan 2012 21:00:02 GMT",
"version": "v1"
}
] | 2014-09-05 | [
[
"Adams",
"Allan",
""
],
[
"Yaida",
"Sho",
""
]
] | We continue our study of quenched disorder in holographic systems, focusing on the effects of mild electric disorder. By studying the renormalization group evolution of the disorder distribution at subleading order in perturbations away from the clean fixed point, we show that electric disorder is marginally relevant in (2+1)-dimensional holographic conformal field theories. |
1011.2419 | Bayram Tekin | Ibrahim Gullu, Tahsin Cagri Sisman, Bayram Tekin | All Bulk and Boundary Unitary Cubic Curvature Theories in Three
Dimensions | 18 pages, clarifying remarks added, version to appear in Phys. Rev. D | Phys.Rev.D83:024033,2011 | 10.1103/PhysRevD.83.024033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct all the bulk and boundary unitary cubic curvature parity
invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For
bulk unitarity, our construction is based on the principle that the free theory
of the cubic curvature theory reduces to one of the three known unitary
theories which are the cosmological Einstein-Hilbert theory, the quadratic
theory of the scalar curvature or the new massive gravity (NMG). Bulk and
boundary unitarity in NMG is in conflict; therefore, cubic theories that are
unitary both in the bulk and on the boundary have free theories that reduce to
the other two alternatives. We also study the unitarity of the Born-Infeld
extensions of NMG to all orders in curvature.
| [
{
"created": "Wed, 10 Nov 2010 16:23:47 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Nov 2010 19:01:51 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jan 2011 10:45:26 GMT",
"version": "v3"
}
] | 2011-02-28 | [
[
"Gullu",
"Ibrahim",
""
],
[
"Sisman",
"Tahsin Cagri",
""
],
[
"Tekin",
"Bayram",
""
]
] | We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the cubic curvature theory reduces to one of the three known unitary theories which are the cosmological Einstein-Hilbert theory, the quadratic theory of the scalar curvature or the new massive gravity (NMG). Bulk and boundary unitarity in NMG is in conflict; therefore, cubic theories that are unitary both in the bulk and on the boundary have free theories that reduce to the other two alternatives. We also study the unitarity of the Born-Infeld extensions of NMG to all orders in curvature. |
2212.14031 | Tomasz Trze\'sniewski | Tomasz Trze\'sniewski | 3D gravity, point particles and deformed symmetries | 9 pages, v2 details clarified, references added, to appear in
proceedings of the 8th Conference of the Polish Society on Relativity,
Warszawa, Poland, September 19-23, 2022 | Acta Phys. Pol. B Proc. Suppl. 16, 6-A19 (2023) | 10.5506/APhysPolBSupp.16.6-A19 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons
theory, with the gauge group given by the local isometry group, depending on
the metric signature and the cosmological constant. Point particles are added
into spacetime as (spinning) conical defects. Then, in principle, one may
integrate out the gravitational degrees of freedom to obtain the effective
particle action; the most interesting consequence is that the momentum space of
a particle turns out to be curved. This is still not completely understood in
the case of non-zero cosmological constant.
| [
{
"created": "Wed, 28 Dec 2022 18:56:40 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 19:00:00 GMT",
"version": "v2"
}
] | 2023-06-16 | [
[
"Trześniewski",
"Tomasz",
""
]
] | It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into spacetime as (spinning) conical defects. Then, in principle, one may integrate out the gravitational degrees of freedom to obtain the effective particle action; the most interesting consequence is that the momentum space of a particle turns out to be curved. This is still not completely understood in the case of non-zero cosmological constant. |
hep-th/0003204 | Shijong Ryang | Shijong Ryang | Open String and Morita Equivalence of the Dirac-Born-Infeld Action with
Modulus \Phi | 10 pages, LaTex2e, no figures | Prog.Theor.Phys. 106 (2001) 249-254 | 10.1143/PTP.106.249 | null | hep-th | null | Based on the canonical quantization of open strings ending on D-branes with a
background B field, we construct the open string propagator. We demonstrate the
relation between the T duality of the underlying string theory and the Morita
equivalence of the interpolating general Dirac-Born-Infeld theory on a
noncommutative torus in the nonzero modulus \Phi sector. The general
noncommutative Dirac-Born-Infeld action with the Wess-Zumino terms expressed by
the background R-R fields is shown to be Morita invariant.
| [
{
"created": "Thu, 23 Mar 2000 02:23:27 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ryang",
"Shijong",
""
]
] | Based on the canonical quantization of open strings ending on D-branes with a background B field, we construct the open string propagator. We demonstrate the relation between the T duality of the underlying string theory and the Morita equivalence of the interpolating general Dirac-Born-Infeld theory on a noncommutative torus in the nonzero modulus \Phi sector. The general noncommutative Dirac-Born-Infeld action with the Wess-Zumino terms expressed by the background R-R fields is shown to be Morita invariant. |
hep-th/9912278 | Mario Pernici | M. Pernici | Semi-naive dimensional renormalization | 28 pages, 3 figures | Nucl.Phys. B582 (2000) 733-755 | 10.1016/S0550-3213(00)00268-6 | IFUM 652/FT | hep-th | null | We propose a treatment of $\gamma^5$ in dimensional regularization which is
based on an algebraically consistent extension of the Breitenlohner-Maison-'t
Hooft-Veltman (BMHV) scheme; we define the corresponding minimal
renormalization scheme and show its equivalence with a non-minimal BMHV scheme.
The restoration of the chiral Ward identities requires the introduction of
considerably fewer finite counterterms than in the BMHV scheme. This scheme is
the same as the minimal naive dimensional renormalization in the case of
diagrams not involving fermionic traces with an odd number of $\gamma^5$, but
unlike the latter it is a consistent scheme. As a simple example we apply our
minimal subtraction scheme to the Yukawa model at two loops in presence of
external gauge fields.
| [
{
"created": "Thu, 30 Dec 1999 17:28:12 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Pernici",
"M.",
""
]
] | We propose a treatment of $\gamma^5$ in dimensional regularization which is based on an algebraically consistent extension of the Breitenlohner-Maison-'t Hooft-Veltman (BMHV) scheme; we define the corresponding minimal renormalization scheme and show its equivalence with a non-minimal BMHV scheme. The restoration of the chiral Ward identities requires the introduction of considerably fewer finite counterterms than in the BMHV scheme. This scheme is the same as the minimal naive dimensional renormalization in the case of diagrams not involving fermionic traces with an odd number of $\gamma^5$, but unlike the latter it is a consistent scheme. As a simple example we apply our minimal subtraction scheme to the Yukawa model at two loops in presence of external gauge fields. |
2112.14764 | Alessandro Mininno | Mohammad Akhond, Guillermo Arias-Tamargo, Alessandro Mininno, Hao-Yu
Sun, Zhengdi Sun, Yifan Wang, Fengjun Xu | The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field
Theories | v3: Improved discussion, fixed typos, added references v2: Typos
fixed and added references. v1: 96 pages. Based on a series of lectures at
the Quantum Field Theories and Geometry School in July 2020 | SciPost Phys. Lect. Notes 64 (2022) | 10.21468/SciPostPhysLectNotes.64 | IFT-UAM/CSIC-21-151, ZMP-HH/21-28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four
dimensional spacetime provides a prime playground to study strongly coupled
phenomena in quantum field theory. Its rigid structure ensures valuable
analytic control over non-perturbative effects, yet the theory is still
flexible enough to incorporate a large landscape of quantum systems. Here we
aim to offer a guidebook to fundamental features of the 4d $\mathcal{N}=2$
superconformal field theories and basic tools to construct them in
string/M-/F-theory. The content is based on a series of lectures at the Quantum
Field Theories and Geometry School
(https://sites.google.com/view/qftandgeometrysummerschool/home) in July 2020.
| [
{
"created": "Wed, 29 Dec 2021 18:59:46 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Feb 2022 16:49:02 GMT",
"version": "v2"
},
{
"created": "Sun, 21 Aug 2022 22:59:42 GMT",
"version": "v3"
}
] | 2022-11-02 | [
[
"Akhond",
"Mohammad",
""
],
[
"Arias-Tamargo",
"Guillermo",
""
],
[
"Mininno",
"Alessandro",
""
],
[
"Sun",
"Hao-Yu",
""
],
[
"Sun",
"Zhengdi",
""
],
[
"Wang",
"Yifan",
""
],
[
"Xu",
"Fengjun",
""
]
] | Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over non-perturbative effects, yet the theory is still flexible enough to incorporate a large landscape of quantum systems. Here we aim to offer a guidebook to fundamental features of the 4d $\mathcal{N}=2$ superconformal field theories and basic tools to construct them in string/M-/F-theory. The content is based on a series of lectures at the Quantum Field Theories and Geometry School (https://sites.google.com/view/qftandgeometrysummerschool/home) in July 2020. |
hep-th/9707017 | null | Luis Alvarez-Gaume, Marcos Marino, Frederic Zamora | Softly Broken N=2 QCD with Massive Quark Hypermultiplets, II | 41 pages, 32 figures, LaTeX file | Int.J.Mod.Phys. A13 (1998) 1847-1880 | 10.1142/S0217751X98000810 | CERN-TH/97-144, US-FT-21/97, UB-ECM-PF 97/10 | hep-th hep-lat hep-ph | null | We analyze the vacuum structure of N=2, SU(2) QCD with massive quark
hypermultiplets, once supersymmetry is softly broken down to N=0 with dilaton
and mass spurions. We give general expressions for the low energy couplings of
the effective potential in terms of elliptic functions to have a complete
numerical control of the model. We study in detail the possible phases of the
theories with Nf = 1, 2 flavors for different values of the bare quark masses
and the supersymmetry breaking parameters and we find a rich structure of first
order phase transitions. The chiral symmetry breaking pattern of the Nf = 2
theory is considered, and we obtain the pion Lagrangian for this model up to
two derivatives. Exact expressions are given for the pion masses and the pion
decay constant in terms of the magnetic monopole description of chiral symmetry
breaking.
| [
{
"created": "Tue, 1 Jul 1997 17:02:52 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Alvarez-Gaume",
"Luis",
""
],
[
"Marino",
"Marcos",
""
],
[
"Zamora",
"Frederic",
""
]
] | We analyze the vacuum structure of N=2, SU(2) QCD with massive quark hypermultiplets, once supersymmetry is softly broken down to N=0 with dilaton and mass spurions. We give general expressions for the low energy couplings of the effective potential in terms of elliptic functions to have a complete numerical control of the model. We study in detail the possible phases of the theories with Nf = 1, 2 flavors for different values of the bare quark masses and the supersymmetry breaking parameters and we find a rich structure of first order phase transitions. The chiral symmetry breaking pattern of the Nf = 2 theory is considered, and we obtain the pion Lagrangian for this model up to two derivatives. Exact expressions are given for the pion masses and the pion decay constant in terms of the magnetic monopole description of chiral symmetry breaking. |
2304.12818 | Abhijit Das | Abhijit B. Das | Triangular tessellations of one-loop scattering amplitudes in $\phi^3$
theory | 35 pages, 15 figures, 1 table, 4 mathematica notebooks given as
ancillary files | Eur. Phys. J. Spec. Top. (2024) | 10.1140/epjs/s11734-023-01070-6 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspired by the recent work of Nima Arkani Hamed and collaborators who
introduced the notion of positive geometry to account for the structure of
tree-level scattering amplitudes in bi-adjoint $\phi^3$ theory, which led to
one-loop descriptions of the integrands. Here we consider the one-loop
integrals themselves in $\phi^3$ theory. In order to achieve this end, the
geometrical construction offered by Schnetz for Feynman diagrams is hereby
extended, and the results are presented. The extension relies on masking the
loop momentum variable with a constant and proceeding with the calculations.
The results appear as a construction given in a diagrammatic manner. The
significance of the resulting triangular diagrams is that they have a common
side amongst themselves for the corresponding Feynman diagrams they pertain to.
Further extensions to this mathematical construction can lead to additional
insights into higher loops. A mathematica code has been provided in order to
generate the final results given the initial parameters of the theory.
| [
{
"created": "Tue, 25 Apr 2023 13:44:51 GMT",
"version": "v1"
}
] | 2024-03-26 | [
[
"Das",
"Abhijit B.",
""
]
] | Inspired by the recent work of Nima Arkani Hamed and collaborators who introduced the notion of positive geometry to account for the structure of tree-level scattering amplitudes in bi-adjoint $\phi^3$ theory, which led to one-loop descriptions of the integrands. Here we consider the one-loop integrals themselves in $\phi^3$ theory. In order to achieve this end, the geometrical construction offered by Schnetz for Feynman diagrams is hereby extended, and the results are presented. The extension relies on masking the loop momentum variable with a constant and proceeding with the calculations. The results appear as a construction given in a diagrammatic manner. The significance of the resulting triangular diagrams is that they have a common side amongst themselves for the corresponding Feynman diagrams they pertain to. Further extensions to this mathematical construction can lead to additional insights into higher loops. A mathematica code has been provided in order to generate the final results given the initial parameters of the theory. |
1405.2078 | Benson Way | Jorge E. Santos and Benson Way | Black Droplets | 20 pages, 11 figures | null | 10.1007/JHEP08(2014)072 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black droplets and black funnels are gravitational duals to states of a large
N, strongly coupled CFT on a fixed black hole background. We numerically
construct black droplets corresponding to a CFT on a Schwarzchild background
with finite asymptotic temperature. We find two branches of such droplet
solutions which meet at a turning point. Our results suggest that the
equilibrium black droplet solution does not exist, which would imply that the
Hartle-Hawking state in this system is dual to the black funnel constructed in
\cite{Santos:2012he}. We also compute the holographic stress energy tensor and
match its asymptotic behaviour to perturbation theory.
| [
{
"created": "Thu, 8 May 2014 20:00:06 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Santos",
"Jorge E.",
""
],
[
"Way",
"Benson",
""
]
] | Black droplets and black funnels are gravitational duals to states of a large N, strongly coupled CFT on a fixed black hole background. We numerically construct black droplets corresponding to a CFT on a Schwarzchild background with finite asymptotic temperature. We find two branches of such droplet solutions which meet at a turning point. Our results suggest that the equilibrium black droplet solution does not exist, which would imply that the Hartle-Hawking state in this system is dual to the black funnel constructed in \cite{Santos:2012he}. We also compute the holographic stress energy tensor and match its asymptotic behaviour to perturbation theory. |
1812.01026 | Felipe Rosso | Nikolay Bobev, Vincent S. Min, Krzysztof Pilch and Felipe Rosso | Mass Deformations of the ABJM Theory: The Holographic Free Energy | 40 pages, 5 figures | null | 10.1007/JHEP03(2019)130 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find a class of new supersymmetric Euclidean solutions in four-dimensional
maximal gauged supergravity. The holographic dual description of these
backgrounds is given by a mass-deformation of the ABJM theory with general
values for the R-charges. We calculate the $S^3$ free energy for the
supergravity backgrounds and find agreement with the supersymmetric
localization calculation of the free energy in the large $N$ limit.
| [
{
"created": "Mon, 3 Dec 2018 19:04:18 GMT",
"version": "v1"
}
] | 2019-05-01 | [
[
"Bobev",
"Nikolay",
""
],
[
"Min",
"Vincent S.",
""
],
[
"Pilch",
"Krzysztof",
""
],
[
"Rosso",
"Felipe",
""
]
] | We find a class of new supersymmetric Euclidean solutions in four-dimensional maximal gauged supergravity. The holographic dual description of these backgrounds is given by a mass-deformation of the ABJM theory with general values for the R-charges. We calculate the $S^3$ free energy for the supergravity backgrounds and find agreement with the supersymmetric localization calculation of the free energy in the large $N$ limit. |
2102.11881 | Lukas Witkowski | Jewel K. Ghosh, Elias Kiritsis, Francesco Nitti, Lukas T. Witkowski | Revisiting Coleman-de Luccia transitions in the AdS regime using
holography | 89 pages, 20 figures, executive summary in the introduction | null | 10.1007/JHEP09(2021)065 | CCTP-2021-01, ITCP-IPP-2021/1 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Coleman-de Luccia processes for AdS to AdS decays in Einstein-scalar theories
are studied. Such tunnelling processes are interpreted as vev-driven
holographic RG flows of a quantum field theory on de Sitter space-time. These
flows do not exist for generic scalar potentials, which is the holographic
formulation of the fact that gravity can act to stabilise false AdS vacua. The
existence of Coleman-de Luccia tunnelling solutions in a potential with a false
AdS vacuum is found to be tied to the existence of exotic RG flows in the same
potential. Such flows are solutions where the flow skips possible fixed points
or reverses direction in the coupling. This connection is employed to construct
explicit potentials that admit Coleman-de Luccia instantons in AdS and to study
the associated tunnelling solutions. Thin-walled instantons are observed to
correspond to dual field theories with a parametrically large value of the
dimension $\Delta$ for the operator dual to the scalar field, casting doubt on
the attainability of this regime in holography. From the boundary perspective,
maximally symmetric instantons describe the probability of symmetry breaking of
the dual QFT in de Sitter. It is argued that, even when such instantons exist,
they do not imply an instability of the same theory on flat space or on
$R\times S^3$.
| [
{
"created": "Tue, 23 Feb 2021 19:00:01 GMT",
"version": "v1"
}
] | 2021-09-29 | [
[
"Ghosh",
"Jewel K.",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Nitti",
"Francesco",
""
],
[
"Witkowski",
"Lukas T.",
""
]
] | Coleman-de Luccia processes for AdS to AdS decays in Einstein-scalar theories are studied. Such tunnelling processes are interpreted as vev-driven holographic RG flows of a quantum field theory on de Sitter space-time. These flows do not exist for generic scalar potentials, which is the holographic formulation of the fact that gravity can act to stabilise false AdS vacua. The existence of Coleman-de Luccia tunnelling solutions in a potential with a false AdS vacuum is found to be tied to the existence of exotic RG flows in the same potential. Such flows are solutions where the flow skips possible fixed points or reverses direction in the coupling. This connection is employed to construct explicit potentials that admit Coleman-de Luccia instantons in AdS and to study the associated tunnelling solutions. Thin-walled instantons are observed to correspond to dual field theories with a parametrically large value of the dimension $\Delta$ for the operator dual to the scalar field, casting doubt on the attainability of this regime in holography. From the boundary perspective, maximally symmetric instantons describe the probability of symmetry breaking of the dual QFT in de Sitter. It is argued that, even when such instantons exist, they do not imply an instability of the same theory on flat space or on $R\times S^3$. |
hep-th/9711183 | C. K. Zachos | Thomas Curtright, David Fairlie and Cosmas Zachos | Features of Time-independent Wigner Functions | 18 pages, plain LaTex, References supplemented | Phys.Rev.D58:025002,1998 | 10.1103/PhysRevD.58.025002 | DTP/97/61, MIAMI-TH-97-3, ANL-HEP-PR-97-93 | hep-th quant-ph | null | The Wigner phase-space distribution function provides the basis for Moyal's
deformation quantization alternative to the more conventional Hilbert space and
path integral quantizations. General features of time-independent Wigner
functions are explored here, including the functional ("star") eigenvalue
equations they satisfy; their projective orthogonality spectral properties;
their Darboux ("supersymmetric") isospectral potential recursions; and their
canonical transformations. These features are illustrated explicitly through
simple solvable potentials: the harmonic oscillator, the linear potential, the
Poeschl-Teller potential, and the Liouville potential.
| [
{
"created": "Tue, 25 Nov 1997 22:02:49 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Dec 1997 17:38:09 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Mar 1998 21:53:13 GMT",
"version": "v3"
}
] | 2009-10-02 | [
[
"Curtright",
"Thomas",
""
],
[
"Fairlie",
"David",
""
],
[
"Zachos",
"Cosmas",
""
]
] | The Wigner phase-space distribution function provides the basis for Moyal's deformation quantization alternative to the more conventional Hilbert space and path integral quantizations. General features of time-independent Wigner functions are explored here, including the functional ("star") eigenvalue equations they satisfy; their projective orthogonality spectral properties; their Darboux ("supersymmetric") isospectral potential recursions; and their canonical transformations. These features are illustrated explicitly through simple solvable potentials: the harmonic oscillator, the linear potential, the Poeschl-Teller potential, and the Liouville potential. |
1305.7281 | Chanyong Park | Bum-Hoon Lee, Shahin Mamedov, Siyoung Nam and Chanyong Park | Holographic meson mass splitting in the Nuclear Matter | 22 pages, 5 figures, references added | null | 10.1007/JHEP08(2013)045 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic light meson spectra and their mass splitting in the
nuclear medium. In order to describe the nuclear matter, we take into account
the thermal charged AdS geometry with two flavor charges, which can be
reinterpreted as the number densities of proton and neutron after some field
redefinitions. We show that the meson mass splitting occurs when there exists
the density difference between proton and neutron. Depending on the flavor
charge, the mass of the positively (negatively) charged meson increases
(decreases) as the density difference increases, whereas the neutral meson mass
is independent of the density difference. In the regime of the large nucleon
density with a relatively large number difference between proton and neutron,
we find that negatively charged pion becomes massless in the nuclear medium, so
the pion condensate can occur. We also investigate the binding energy of a
heavy quarkonium in the nuclear medium, in which the binding energy of a heavy
quarkonium becomes weaker as the density difference increases.
| [
{
"created": "Fri, 31 May 2013 02:02:18 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jun 2013 02:00:28 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Lee",
"Bum-Hoon",
""
],
[
"Mamedov",
"Shahin",
""
],
[
"Nam",
"Siyoung",
""
],
[
"Park",
"Chanyong",
""
]
] | We study the holographic light meson spectra and their mass splitting in the nuclear medium. In order to describe the nuclear matter, we take into account the thermal charged AdS geometry with two flavor charges, which can be reinterpreted as the number densities of proton and neutron after some field redefinitions. We show that the meson mass splitting occurs when there exists the density difference between proton and neutron. Depending on the flavor charge, the mass of the positively (negatively) charged meson increases (decreases) as the density difference increases, whereas the neutral meson mass is independent of the density difference. In the regime of the large nucleon density with a relatively large number difference between proton and neutron, we find that negatively charged pion becomes massless in the nuclear medium, so the pion condensate can occur. We also investigate the binding energy of a heavy quarkonium in the nuclear medium, in which the binding energy of a heavy quarkonium becomes weaker as the density difference increases. |
hep-th/0701005 | Joseph A. Minahan | J. A. Minahan | Zero modes for the giant magnon | 14 pages; v2 references added; v3 minor changes, references added | JHEP 0702:048,2007 | 10.1088/1126-6708/2007/02/048 | UUITP-17/06 | hep-th | null | We explicitly construct the eight fermion zero mode solutions for the
Hofman-Maldacena giant magnon. The solutions are naturally gauge fixed under
the \kappa-symmetry. Substituting the solutions back into the Lagrangian leads
to a simple expression that can be quantized directly. We also show how to
construct the SU(2|2)\times SU(2|2) superalgebra from these zero modes. For
completeness we also find the four bosonic zero mode solutions.
| [
{
"created": "Sat, 30 Dec 2006 20:58:54 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jan 2007 17:20:49 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jan 2007 17:02:23 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Minahan",
"J. A.",
""
]
] | We explicitly construct the eight fermion zero mode solutions for the Hofman-Maldacena giant magnon. The solutions are naturally gauge fixed under the \kappa-symmetry. Substituting the solutions back into the Lagrangian leads to a simple expression that can be quantized directly. We also show how to construct the SU(2|2)\times SU(2|2) superalgebra from these zero modes. For completeness we also find the four bosonic zero mode solutions. |
hep-th/9305039 | null | Sudhakar Panda and Shibaji Roy | On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to
Matter | Plain Tex, 13 pages, IC/93/81, UG-3/93 | Phys.Lett. B317 (1993) 533-539 | 10.1016/0370-2693(93)91368-W | null | hep-th | null | It is shown that the two dimensional gravity, described either in the
conformal gauge (the Liouville theory) or in the light cone gauge, when coupled
to matter possesses an infinite number of twisted $N=2$ superconformal
symmetries. The central charges of the $N=2$ algebra for the two gauge choices
are in general different. Further, it is argued that the physical states in the
light cone gauge theory can be obtained from the Liouville theory by a field
redefinition.
| [
{
"created": "Mon, 10 May 1993 17:19:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Panda",
"Sudhakar",
""
],
[
"Roy",
"Shibaji",
""
]
] | It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The central charges of the $N=2$ algebra for the two gauge choices are in general different. Further, it is argued that the physical states in the light cone gauge theory can be obtained from the Liouville theory by a field redefinition. |
hep-th/0111219 | Vladimir Ivashchuk | M.A. Grebeniuk, V.D. Ivashchuk and S.-W. Kim | Black-brane solution for C_2 algebra | 12 pages, Latex, submitted to J. Math. Phys | J.Math.Phys. 43 (2002) 6016-6023 | 10.1063/1.1513654 | null | hep-th | null | Black p-brane solutions for a wide class of intersection rules and Ricci-flat
``internal'' spaces are considered. They are defined up to moduli functions H_s
obeying non-linear differential equations with certain boundary conditions
imposed. A new solution with intersections corresponding to the Lie algebra C_2
is obtained. The functions H_1 and H_2 for this solution are polynomials of
degree 3 and 4.
| [
{
"created": "Fri, 23 Nov 2001 18:56:28 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Grebeniuk",
"M. A.",
""
],
[
"Ivashchuk",
"V. D.",
""
],
[
"Kim",
"S. -W.",
""
]
] | Black p-brane solutions for a wide class of intersection rules and Ricci-flat ``internal'' spaces are considered. They are defined up to moduli functions H_s obeying non-linear differential equations with certain boundary conditions imposed. A new solution with intersections corresponding to the Lie algebra C_2 is obtained. The functions H_1 and H_2 for this solution are polynomials of degree 3 and 4. |
1610.05320 | John Stout | Liam McAllister, Pedro Schwaller, Geraldine Servant, John Stout,
Alexander Westphal | Runaway Relaxion Monodromy | 1+45 pages, 4 appendices, 5 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the relaxion mechanism in string theory. An essential feature is
that an axion winds over $N \gg 1$ fundamental periods. In string theory
realizations via axion monodromy, this winding number corresponds to a physical
charge carried by branes or fluxes. We show that this monodromy charge
backreacts on the compact space, ruining the structure of the relaxion action.
In particular, the barriers generated by strong gauge dynamics have height
$\propto e^{-N}$, so the relaxion does not stop when the Higgs acquires a vev.
Backreaction of monodromy charge can therefore spoil the relaxion mechanism. We
comment on the limitations of technical naturalness arguments in this context.
| [
{
"created": "Mon, 17 Oct 2016 20:00:24 GMT",
"version": "v1"
}
] | 2016-10-19 | [
[
"McAllister",
"Liam",
""
],
[
"Schwaller",
"Pedro",
""
],
[
"Servant",
"Geraldine",
""
],
[
"Stout",
"John",
""
],
[
"Westphal",
"Alexander",
""
]
] | We examine the relaxion mechanism in string theory. An essential feature is that an axion winds over $N \gg 1$ fundamental periods. In string theory realizations via axion monodromy, this winding number corresponds to a physical charge carried by branes or fluxes. We show that this monodromy charge backreacts on the compact space, ruining the structure of the relaxion action. In particular, the barriers generated by strong gauge dynamics have height $\propto e^{-N}$, so the relaxion does not stop when the Higgs acquires a vev. Backreaction of monodromy charge can therefore spoil the relaxion mechanism. We comment on the limitations of technical naturalness arguments in this context. |
hep-th/0212015 | Claus Kiefer | Andrei Barvinsky, Alexander Kamenshchik, Claus Kiefer, Andreas Rathke | Graviton oscillations in the two-brane world | 8 pages, conceptual clarifications included, to appear in Phys. Lett.
B | null | 10.1016/j.physletb.2003.06.002 | null | hep-th gr-qc | null | We study the braneworld effective action in the two-brane Randall-Sundrum
model. In the framework of this essentially-nonlocal action we reveal the
origin of an infinite sequence of gravitational wave modes -- the usual
massless one as well as the tower of Kaluza-Klein massive ones. Mixing of the
modes, which parametrically depends on the background value of the modulus of
the extra dimension, can be interpreted as radion-induced gravitational-wave
oscillations, a classical analogue to meson and neutrino oscillations. We show
that these oscillations arising in M-theory-inspired braneworld setups could
lead to effects detectable by gravitational-wave interferometers.
| [
{
"created": "Mon, 2 Dec 2002 14:58:19 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Dec 2002 14:02:06 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Jun 2003 15:16:33 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Barvinsky",
"Andrei",
""
],
[
"Kamenshchik",
"Alexander",
""
],
[
"Kiefer",
"Claus",
""
],
[
"Rathke",
"Andreas",
""
]
] | We study the braneworld effective action in the two-brane Randall-Sundrum model. In the framework of this essentially-nonlocal action we reveal the origin of an infinite sequence of gravitational wave modes -- the usual massless one as well as the tower of Kaluza-Klein massive ones. Mixing of the modes, which parametrically depends on the background value of the modulus of the extra dimension, can be interpreted as radion-induced gravitational-wave oscillations, a classical analogue to meson and neutrino oscillations. We show that these oscillations arising in M-theory-inspired braneworld setups could lead to effects detectable by gravitational-wave interferometers. |
1812.08630 | Horatiu Stefan Nastase | Daniel W.F. Alves and Horatiu Nastase | Hopfion solutions in gravity and a null fluid/gravity conjecture | 18 pages, no figures | null | null | null | hep-th gr-qc physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conjecture an extension of the fluid/gravity correspondence to the null
pressureless fluid case via gravitational shockwave solutions, and use it to
propose an embedding of the fluid Hopfion in gravity. A nonlinear gravitational
"helicity" is also proposed, analogous with the helicity of electromagnetism
and fluid dynamics.
| [
{
"created": "Thu, 20 Dec 2018 15:18:35 GMT",
"version": "v1"
}
] | 2018-12-21 | [
[
"Alves",
"Daniel W. F.",
""
],
[
"Nastase",
"Horatiu",
""
]
] | We conjecture an extension of the fluid/gravity correspondence to the null pressureless fluid case via gravitational shockwave solutions, and use it to propose an embedding of the fluid Hopfion in gravity. A nonlinear gravitational "helicity" is also proposed, analogous with the helicity of electromagnetism and fluid dynamics. |
hep-th/9704174 | Joao Nunes | Jose M. Isidro, Avijit Mukherjee, Joao P. Nunes, Howard J. Schnitzer | On the Picard-Fuchs Equations for Massive N=2 Seiberg-Witten Theories | 29 pages, uses phyzzx.tex | Nucl.Phys. B502 (1997) 363-382 | 10.1016/S0550-3213(97)00459-8 | null | hep-th | null | A new method to obtain the Picard-Fuchs equations of effective, N=2
supersymmetric gauge theories with massive matter hypermultiplets in the
fundamental representation is presented. It generalises a previously described
method to derive the Picard-Fuchs equations of both pure super Yang-Mills and
supersymmetric gauge theories with massless matter hypermultiplets. The
techniques developed are well suited to symbolic computer calculations.
| [
{
"created": "Thu, 24 Apr 1997 17:48:39 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Isidro",
"Jose M.",
""
],
[
"Mukherjee",
"Avijit",
""
],
[
"Nunes",
"Joao P.",
""
],
[
"Schnitzer",
"Howard J.",
""
]
] | A new method to obtain the Picard-Fuchs equations of effective, N=2 supersymmetric gauge theories with massive matter hypermultiplets in the fundamental representation is presented. It generalises a previously described method to derive the Picard-Fuchs equations of both pure super Yang-Mills and supersymmetric gauge theories with massless matter hypermultiplets. The techniques developed are well suited to symbolic computer calculations. |
2207.14306 | William Biggs | William D. Biggs and Jorge E. Santos | Black Tunnels and Hammocks | 45 pages, 13 figures | null | 10.1007/JHEP11(2022)021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the holographic duals to a large $N$, strongly coupled
$\mathcal{N}=4$ super Yang-Mills conformal field theory defined on a
four-dimensional de Sitter-Schwarzschild background. There are two distinct
five-dimensional bulk solutions. One, named the black tunnel, is static and
possesses two disconnected horizons. The other, the black hammock, contains
only one horizon in the bulk. The hammock horizon is not a Killing horizon, and
hence possesses interesting properties, such as non-vanishing expansion and
shear, as well as allowing classical flow along it. The DeTurck method was used
in order to attain the black tunnel solutions, whilst the black hammocks were
found in Bondi-Sachs gauge.
| [
{
"created": "Thu, 28 Jul 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2022 14:21:53 GMT",
"version": "v2"
}
] | 2022-11-23 | [
[
"Biggs",
"William D.",
""
],
[
"Santos",
"Jorge E.",
""
]
] | We construct the holographic duals to a large $N$, strongly coupled $\mathcal{N}=4$ super Yang-Mills conformal field theory defined on a four-dimensional de Sitter-Schwarzschild background. There are two distinct five-dimensional bulk solutions. One, named the black tunnel, is static and possesses two disconnected horizons. The other, the black hammock, contains only one horizon in the bulk. The hammock horizon is not a Killing horizon, and hence possesses interesting properties, such as non-vanishing expansion and shear, as well as allowing classical flow along it. The DeTurck method was used in order to attain the black tunnel solutions, whilst the black hammocks were found in Bondi-Sachs gauge. |
0906.2015 | Steven Avery | Steven G. Avery, Borun D. Chowdhury, and Samir D. Mathur | Emission from the D1D5 CFT | 49 pages, latex, 6 figures; v2: reformatted for JHEP, corrected
typos, and added references | JHEP 0910:065,2009 | 10.1088/1126-6708/2009/10/065 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is believed that the D1D5 brane system is described by an 'orbifold CFT'
at a special point in moduli space. We first develop a general formulation
relating amplitudes in a d-dimensional CFT to absorption/emission of quanta
from flat infinity. We then construct the D1D5 vertex operators for minimally
coupled scalars in supergravity, and use these to compute the CFT amplitude for
emission from a state carrying a single excitation. Using spectral flow we
relate this process to one where we have emission from a highly excited initial
state. In each case the radiation rate is found to agree with the radiation
found in the gravity dual.
| [
{
"created": "Thu, 11 Jun 2009 17:48:27 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Nov 2009 22:17:31 GMT",
"version": "v2"
}
] | 2009-11-09 | [
[
"Avery",
"Steven G.",
""
],
[
"Chowdhury",
"Borun D.",
""
],
[
"Mathur",
"Samir D.",
""
]
] | It is believed that the D1D5 brane system is described by an 'orbifold CFT' at a special point in moduli space. We first develop a general formulation relating amplitudes in a d-dimensional CFT to absorption/emission of quanta from flat infinity. We then construct the D1D5 vertex operators for minimally coupled scalars in supergravity, and use these to compute the CFT amplitude for emission from a state carrying a single excitation. Using spectral flow we relate this process to one where we have emission from a highly excited initial state. In each case the radiation rate is found to agree with the radiation found in the gravity dual. |
1106.4657 | Hong Lu | H. Lu, Yi Pang and C. N. Pope | Conformal Gravity and Extensions of Critical Gravity | Latex, 20 pages, typos in (4.21) and (A.7) were corrected | Phys.Rev.D84:064001,2011 | 10.1103/PhysRevD.84.064001 | CAS-KITPC/ITP-272; MIFPA-11-24 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Higher-order curvature corrections involving the conformally-invariant
Weyl-squared action have played a role in two recent investigations of
four-dimensional gravity; in critical gravity, where it is added to the
standard cosmological Einstein-Hilbert action with a coefficient tuned to make
the massive ghostlike spin-2 excitations massless, and in a pure Weyl-squared
action considered by Maldacena, where the massive spin-2 modes are removed by
the imposition of boundary conditions. We exhibit the connections between the
two approaches, and we also generalise critical gravity to a wider class of
Weyl-squared modifications to cosmological Einstein gravity where one can
eliminate the massive ghostlike spin-2 modes by means of boundary conditions.
The cosmological constant plays a crucial role in the discussion, since there
is then a "window" of negative mass-squared spin-2 modes around AdS_4 that are
not tachyonic. We also construct analogous conformal and non-conformal
gravities in six dimensions.
| [
{
"created": "Thu, 23 Jun 2011 09:01:58 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jul 2011 15:33:40 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Oct 2012 08:42:48 GMT",
"version": "v3"
}
] | 2012-10-02 | [
[
"Lu",
"H.",
""
],
[
"Pang",
"Yi",
""
],
[
"Pope",
"C. N.",
""
]
] | Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological Einstein-Hilbert action with a coefficient tuned to make the massive ghostlike spin-2 excitations massless, and in a pure Weyl-squared action considered by Maldacena, where the massive spin-2 modes are removed by the imposition of boundary conditions. We exhibit the connections between the two approaches, and we also generalise critical gravity to a wider class of Weyl-squared modifications to cosmological Einstein gravity where one can eliminate the massive ghostlike spin-2 modes by means of boundary conditions. The cosmological constant plays a crucial role in the discussion, since there is then a "window" of negative mass-squared spin-2 modes around AdS_4 that are not tachyonic. We also construct analogous conformal and non-conformal gravities in six dimensions. |
2012.13264 | Mohammad R. Garousi | Yasser Akou, Mohammad R. Garousi | Surface terms in effective action of O-plane at order $\alpha'^2$ | 37 pages, Latex file, no figure; v2:some typos corrected, it appears
in EPJC | null | 10.1140/epjc/s10052-021-08990-4 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effective action of string theory has both bulk and boundary terms if the
spacetime is an open manifold. Recently, the known classical effective action
of string theory at the leading order of $\alpha'$ and its corresponding
boundary action have been reproduced by constraining the effective actions to
be invariant under gauge transformations and under string duality
transformations. In this paper, we use this idea to find the classical
effective action of the O-plane and its corresponding boundary terms in type II
superstring theories at order $\alpha'^2$ and for NS-NS couplings. We find that
these constraints fix the bulk action and its corresponding boundary terms up
to one overall factor. They also produce three multiplets in the boundary
action that their coefficients are independent of the bulk couplings under the
string dualities.
| [
{
"created": "Thu, 24 Dec 2020 14:14:30 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Dec 2020 11:04:51 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Feb 2021 06:26:59 GMT",
"version": "v3"
}
] | 2021-03-17 | [
[
"Akou",
"Yasser",
""
],
[
"Garousi",
"Mohammad R.",
""
]
] | The effective action of string theory has both bulk and boundary terms if the spacetime is an open manifold. Recently, the known classical effective action of string theory at the leading order of $\alpha'$ and its corresponding boundary action have been reproduced by constraining the effective actions to be invariant under gauge transformations and under string duality transformations. In this paper, we use this idea to find the classical effective action of the O-plane and its corresponding boundary terms in type II superstring theories at order $\alpha'^2$ and for NS-NS couplings. We find that these constraints fix the bulk action and its corresponding boundary terms up to one overall factor. They also produce three multiplets in the boundary action that their coefficients are independent of the bulk couplings under the string dualities. |
0709.2666 | Damien A. Easson | Damien A. Easson, Ruth Gregory, David F. Mota, Gianmassimo Tasinato
and Ivonne Zavala | Spinflation | 29 pages, 6 figures, minor changes, typos fixed, to appear in JCAP | JCAP 0802:010,2008 | 10.1088/1475-7516/2008/02/010 | DCPT-07/53 | hep-th astro-ph gr-qc hep-ph | null | We study the cosmological implications of including angular motion in the DBI
brane inflation scenario. The non-canonical kinetic terms of the
Dirac-Born-Infeld action give an interesting alternative to slow roll
inflation, and cycling branes can drive periods of accelerated expansion in the
Universe. We present explicit numerical solutions demonstrating brane inflation
in the Klebanov-Strassler throat. We find that demanding sufficient inflation
takes place in the throat is in conflict with keeping the brane's total energy
low enough so that local gravitational backreaction on the Calabi-Yau manifold
can be safely ignored. We deduce that spinflation (brane inflation with angular
momentum) can ease this tension by providing extra e-foldings at the start of
inflation. Cosmological expansion rapidly damps the angular momentum causing an
exit to a more conventional brane inflation scenario. Finally, we set up a
general framework for cosmological perturbation theory in this scenario, where
we have multi-field non-standard kinetic term inflation.
| [
{
"created": "Mon, 17 Sep 2007 16:40:22 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Feb 2008 16:54:48 GMT",
"version": "v2"
}
] | 2009-06-10 | [
[
"Easson",
"Damien A.",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Mota",
"David F.",
""
],
[
"Tasinato",
"Gianmassimo",
""
],
[
"Zavala",
"Ivonne",
""
]
] | We study the cosmological implications of including angular motion in the DBI brane inflation scenario. The non-canonical kinetic terms of the Dirac-Born-Infeld action give an interesting alternative to slow roll inflation, and cycling branes can drive periods of accelerated expansion in the Universe. We present explicit numerical solutions demonstrating brane inflation in the Klebanov-Strassler throat. We find that demanding sufficient inflation takes place in the throat is in conflict with keeping the brane's total energy low enough so that local gravitational backreaction on the Calabi-Yau manifold can be safely ignored. We deduce that spinflation (brane inflation with angular momentum) can ease this tension by providing extra e-foldings at the start of inflation. Cosmological expansion rapidly damps the angular momentum causing an exit to a more conventional brane inflation scenario. Finally, we set up a general framework for cosmological perturbation theory in this scenario, where we have multi-field non-standard kinetic term inflation. |
hep-th/0410202 | Pio Arias | Pio J. Arias (1) and Jean C. Perez-Mosquera (1 and 2) ((1) Caracas, U.
Central, (2)Texas U.) | Canonical equivalence between massive spin 1 theories | Presented by J.C.Perez-Mosquera in the 2nd Venezuelan Congress of
Physics, Cumana, Venezuela, 2000. Original LaTeX version 8 pp | Ciencia 12 (2004) 149-154 | null | null | hep-th | null | The model of Cremmer-Scherck and Proca are considered in dimensions greater
than 3+1. It is obtained that the Proca model correspond to a gauged fixed
version of the Cremmer-Scherck one, and we show their canonical equivalence.
| [
{
"created": "Wed, 20 Oct 2004 03:44:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Arias",
"Pio J.",
"",
"1 and 2"
],
[
"Perez-Mosquera",
"Jean C.",
"",
"1 and 2"
]
] | The model of Cremmer-Scherck and Proca are considered in dimensions greater than 3+1. It is obtained that the Proca model correspond to a gauged fixed version of the Cremmer-Scherck one, and we show their canonical equivalence. |
0705.3281 | Dmitry Malyshev V | Dmitry Malyshev | Del Pezzo singularities and SUSY breaking | 40 pages, 5 figures, v2: references added | Adv.High Energy Phys.2011:630892 | 10.1155/2011/630892 | null | hep-th | null | An analytic construction of compact Calabi-Yau manifolds with del Pezzo
singularities is found. We present complete intersection CY manifolds for all
del Pezzo singularities and study the complex deformations of these
singularities. An example of the quintic CY manifold with del Pezzo 6
singularity and some number of conifold singularities is studied in details.
The possibilities for the 'geometric' and ISS mechanisms of dynamical SUSY
breaking are discussed. As an example, we construct the ISS vacuum for the del
Pezzo 6 singularity.
| [
{
"created": "Wed, 23 May 2007 04:04:14 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Aug 2007 00:20:06 GMT",
"version": "v2"
}
] | 2011-09-08 | [
[
"Malyshev",
"Dmitry",
""
]
] | An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities. An example of the quintic CY manifold with del Pezzo 6 singularity and some number of conifold singularities is studied in details. The possibilities for the 'geometric' and ISS mechanisms of dynamical SUSY breaking are discussed. As an example, we construct the ISS vacuum for the del Pezzo 6 singularity. |
hep-th/0310192 | Yuichi Hoshino | Y.Hoshino | Mass singularity in QED$_3$ | 13 pages,revtex4,Section IV, V are modified,misstypes are corrected | null | null | null | hep-th | null | We determine the position space fermion propagator in three dimensional QED
based on Ward-identity and spectral representation.There is a new type of mass
singularity which governs the long distance behaviour.It leads the propagator
vanish at large distance more stongly than the mass term does.This term
corresponds to Dynamical mass.Momentum space proagator is compared with the
analysis of Schwinger-Dyson equation and our solution contains a non-perubative
effects beyond the quenched approximation with bare vertex.
| [
{
"created": "Mon, 20 Oct 2003 18:08:06 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Nov 2003 22:19:02 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Nov 2003 15:01:05 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Hoshino",
"Y.",
""
]
] | We determine the position space fermion propagator in three dimensional QED based on Ward-identity and spectral representation.There is a new type of mass singularity which governs the long distance behaviour.It leads the propagator vanish at large distance more stongly than the mass term does.This term corresponds to Dynamical mass.Momentum space proagator is compared with the analysis of Schwinger-Dyson equation and our solution contains a non-perubative effects beyond the quenched approximation with bare vertex. |
hep-th/0405196 | Denis Dalmazi | D. Dalmazi | The static potential in QED$_3$ with non-minimal coupling | 19 pages and 7 figures | Phys.Rev. D70 (2004) 065021 | 10.1103/PhysRevD.70.065021 | null | hep-th | null | Here we study the effect of the non-minimal coupling $j^{\mu}\eps
\partial^{\nu} A^{\alpha} $ on the static potential in multiflavor QED$_3$.
Both cases of four and two components fermions are studied separately at
leading order in the $1/N $ expansion. Although a non-local Chern-Simons term
appears, in the four components case the photon is still massless leading to a
confining logarithmic potential similar to the classical one. In the two
components case, as expected, the parity breaking fermion mass term generates a
traditional Chern-Simons term which makes the photon massive and we have a
screening potential which vanishes at large inter-charge distance. The extra
non-minimal couplings have no important influence on the static potential at
large inter-charge distances. However, interesting effects show up at finite
distances. In particular, for strong enough non-minimal coupling we may have a
new massive pole in the photon propagator while in the opposite limit there may
be no poles at all in the irreducible case. We also found that, in general, the
non-minimal couplings lead to a finite range {\bf repulsive} force between
charges of opposite signs.
| [
{
"created": "Sat, 22 May 2004 14:12:58 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Dalmazi",
"D.",
""
]
] | Here we study the effect of the non-minimal coupling $j^{\mu}\eps \partial^{\nu} A^{\alpha} $ on the static potential in multiflavor QED$_3$. Both cases of four and two components fermions are studied separately at leading order in the $1/N $ expansion. Although a non-local Chern-Simons term appears, in the four components case the photon is still massless leading to a confining logarithmic potential similar to the classical one. In the two components case, as expected, the parity breaking fermion mass term generates a traditional Chern-Simons term which makes the photon massive and we have a screening potential which vanishes at large inter-charge distance. The extra non-minimal couplings have no important influence on the static potential at large inter-charge distances. However, interesting effects show up at finite distances. In particular, for strong enough non-minimal coupling we may have a new massive pole in the photon propagator while in the opposite limit there may be no poles at all in the irreducible case. We also found that, in general, the non-minimal couplings lead to a finite range {\bf repulsive} force between charges of opposite signs. |
hep-th/0409030 | Thomas E. Clark | T.E. Clark, Muneto Nitta and T. ter Veldhuis | Superconformal Symmetry, The Supercurrent And Non-BPS Brane Dynamics | 27 pages, LaTeX, Summary Tables Added | Phys.Rev. D71 (2005) 025017 | 10.1103/PhysRevD.71.025017 | null | hep-th | null | The Noether currents associated with the non-linearly realized
super-Poincare' symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov)
action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are
constructed. The R symmetry current, the supersymmetry currents, the
energy-momentum tensor and the scalar central charge current are shown to be
components of a world volume supercurrent. The centrally extended
superconformal transformations are realized on the Nambu-Goldstone boson and
fermion fields of the non-BPS brane. The superconformal currents form
supersymmetry multiplets with the world volume conformal central charge current
and special conformal current being the primary components of the supersymmetry
multiplets containing all the currents. Correspondingly the superconformal
symmetry breaking terms form supersymmetry multiplets the components of which
are obtainable as supersymmetry transformations of the primary currents'
symmetry breaking terms.
| [
{
"created": "Thu, 2 Sep 2004 19:13:03 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Feb 2005 20:58:37 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Feb 2005 21:03:55 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Clark",
"T. E.",
""
],
[
"Nitta",
"Muneto",
""
],
[
"ter Veldhuis",
"T.",
""
]
] | The Noether currents associated with the non-linearly realized super-Poincare' symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurrent. The centrally extended superconformal transformations are realized on the Nambu-Goldstone boson and fermion fields of the non-BPS brane. The superconformal currents form supersymmetry multiplets with the world volume conformal central charge current and special conformal current being the primary components of the supersymmetry multiplets containing all the currents. Correspondingly the superconformal symmetry breaking terms form supersymmetry multiplets the components of which are obtainable as supersymmetry transformations of the primary currents' symmetry breaking terms. |
hep-th/9510023 | null | Cesar Gomez (Instituto de Matematicas y Fisica Fundamental, CSIC) and
Rafael Hernandez (Departamento de Fisica Teorica, UAM) | Electric-Magnetic Duality and Effective Field Theories | 45 pages. LaTex file | null | null | FTUAM 95/36 | hep-th | null | Lectures given by C.G. in the Advanced School on Effective Theories
(Almu\~{n}ecar, Granada, 1995) on duality in N=2 supersymmetric Yang-Mills, and
the coupling to gravity.
| [
{
"created": "Thu, 5 Oct 1995 16:48:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gomez",
"Cesar",
"",
"Instituto de Matematicas y Fisica Fundamental, CSIC"
],
[
"Hernandez",
"Rafael",
"",
"Departamento de Fisica Teorica, UAM"
]
] | Lectures given by C.G. in the Advanced School on Effective Theories (Almu\~{n}ecar, Granada, 1995) on duality in N=2 supersymmetric Yang-Mills, and the coupling to gravity. |
hep-th/9711075 | Anton Rebhan | U. Kraemmer, A. Rebhan | Reply to ``Proof of the Gauge Independence of the Conformal Anomaly of
Bosonic String in the Sense of Kraemmer and Rebhan'' | 5 pages, Latex | null | null | TUW 97-17 | hep-th | null | In two recent preprints (hep-th/9710131 and hep-th/9710132), Abe and
Nakanishi have claimed that the proof of the gauge independence of the
conformal anomaly of the bosonic string as given by us in 1988 was wrong. A
similar allegation has been made concerning our proof of the gauge independence
of the sum of the ghost number and Lagrange multiplier anomalies in
non-conformal gauges. In this short note we refute their criticism by
explaining the simple logic of our proofs and emphasizing the points that have
been missed by Abe and Nakanishi.
| [
{
"created": "Tue, 11 Nov 1997 15:20:15 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kraemmer",
"U.",
""
],
[
"Rebhan",
"A.",
""
]
] | In two recent preprints (hep-th/9710131 and hep-th/9710132), Abe and Nakanishi have claimed that the proof of the gauge independence of the conformal anomaly of the bosonic string as given by us in 1988 was wrong. A similar allegation has been made concerning our proof of the gauge independence of the sum of the ghost number and Lagrange multiplier anomalies in non-conformal gauges. In this short note we refute their criticism by explaining the simple logic of our proofs and emphasizing the points that have been missed by Abe and Nakanishi. |
2005.07833 | Alex Buchel | Alex Buchel | Thermal order in holographic CFTs and no-hair theorem violation in black
branes | 13 pages, 10 figures; v2: typo in eq.23 corrected; v3: NPB version | null | 10.1016/j.nuclphysb.2021.115425 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a large class of holographic models where the boundary ${\mathbb
R}^{2,1}$ dimensional conformal field theory has a thermal phase with a
spontaneously broken global symmetry. The dual black branes in a Poincare patch
of asymptotically $AdS_4$ violate the no-hair theorem.
| [
{
"created": "Sat, 16 May 2020 00:24:23 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 12:24:36 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Apr 2021 14:48:57 GMT",
"version": "v3"
}
] | 2021-06-02 | [
[
"Buchel",
"Alex",
""
]
] | We present a large class of holographic models where the boundary ${\mathbb R}^{2,1}$ dimensional conformal field theory has a thermal phase with a spontaneously broken global symmetry. The dual black branes in a Poincare patch of asymptotically $AdS_4$ violate the no-hair theorem. |
hep-th/9904026 | Aaron K. Grant | Z. Bern, A. K. Grant | Perturbative Gravity from QCD Amplitudes | 12 pages, LaTeX, references added | Phys.Lett. B457 (1999) 23-32 | 10.1016/S0370-2693(99)00524-9 | UCLA/99/TEP/10; HUTP-99/A017 | hep-th gr-qc | null | We demonstrate that QCD gluon amplitudes can be used to construct a
Lagrangian for gravity. This procedure makes use of perturbative `squaring'
relations between gravity and gauge theory that follow from string theory. We
explicitly carry out the construction for up to five-point interactions and
discuss a set of field variables in the Einstein-Hilbert Lagrangian for
interpreting the Lagrangian obtained from QCD. A spin-off from our analysis is
that it can be used to provide simpler tree-level gravity Feynman rules than
for conventional gauges.
| [
{
"created": "Mon, 5 Apr 1999 18:16:14 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 1999 18:02:49 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bern",
"Z.",
""
],
[
"Grant",
"A. K.",
""
]
] | We demonstrate that QCD gluon amplitudes can be used to construct a Lagrangian for gravity. This procedure makes use of perturbative `squaring' relations between gravity and gauge theory that follow from string theory. We explicitly carry out the construction for up to five-point interactions and discuss a set of field variables in the Einstein-Hilbert Lagrangian for interpreting the Lagrangian obtained from QCD. A spin-off from our analysis is that it can be used to provide simpler tree-level gravity Feynman rules than for conventional gauges. |
1708.04079 | Jan Vysoky | Branislav Jurco, Jan Vysoky | Poisson-Lie T-duality of String Effective Actions: A New Approach to the
Dilaton Puzzle | One subsection added, several typos and minor mistakes corrected | null | 10.1016/j.geomphys.2018.03.019 | null | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a particular class of backgrounds, equations of motion for string sigma
models targeted in mutually dual Poisson-Lie groups are equivalent. This
phenomenon is called the Poisson-Lie T-duality. On the level of the
corresponding string effective actions, the situation becomes more complicated
due to the presence of the dilaton field.
A novel approach to this problem using Levi-Civita connections on Courant
algebroids is presented. After the introduction of necessary geometrical tools,
formulas for the Poisson-Lie T-dual dilaton fields are derived. This provides a
version of Poisson-Lie T-duality for string effective actions.
| [
{
"created": "Mon, 14 Aug 2017 11:30:03 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Apr 2018 07:57:24 GMT",
"version": "v2"
}
] | 2018-05-09 | [
[
"Jurco",
"Branislav",
""
],
[
"Vysoky",
"Jan",
""
]
] | For a particular class of backgrounds, equations of motion for string sigma models targeted in mutually dual Poisson-Lie groups are equivalent. This phenomenon is called the Poisson-Lie T-duality. On the level of the corresponding string effective actions, the situation becomes more complicated due to the presence of the dilaton field. A novel approach to this problem using Levi-Civita connections on Courant algebroids is presented. After the introduction of necessary geometrical tools, formulas for the Poisson-Lie T-dual dilaton fields are derived. This provides a version of Poisson-Lie T-duality for string effective actions. |
2006.15464 | Roberto Valandro | Andr\'es Collinucci and Roberto Valandro | The role of U(1)'s in 5d theories, Higgs branches, and geometry | 41 pages, 7 figures; references added, some clarifications added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the Higgs branches of five-dimensional $\mathcal{N}=1$ quiver
gauge theories at finite coupling from the paradigm of M-theory on local
Calabi-Yau threefolds described as $\mathbb{C}^\ast$-fibrations over local
K3's. By properly counting local deformations of singularities, we find results
compatible with unitary as opposed to special unitary gauge groups. We
interpret these results by dualizing to both IIA on local K3's with D6-branes,
and to IIB with 5-branes. Finally, we find that, by compactifying the
$\mathbb{C}^\ast$-fibers to tori, a well-known St\"uckelberg mechanism
eliminates Abelian factors, and provides missing Higgs branch moduli in a very
interesting way. This is also explained from the dual IIA and IIB viewpoints.
| [
{
"created": "Sat, 27 Jun 2020 23:09:35 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Dec 2020 14:28:24 GMT",
"version": "v2"
}
] | 2020-12-03 | [
[
"Collinucci",
"Andrés",
""
],
[
"Valandro",
"Roberto",
""
]
] | We explore the Higgs branches of five-dimensional $\mathcal{N}=1$ quiver gauge theories at finite coupling from the paradigm of M-theory on local Calabi-Yau threefolds described as $\mathbb{C}^\ast$-fibrations over local K3's. By properly counting local deformations of singularities, we find results compatible with unitary as opposed to special unitary gauge groups. We interpret these results by dualizing to both IIA on local K3's with D6-branes, and to IIB with 5-branes. Finally, we find that, by compactifying the $\mathbb{C}^\ast$-fibers to tori, a well-known St\"uckelberg mechanism eliminates Abelian factors, and provides missing Higgs branch moduli in a very interesting way. This is also explained from the dual IIA and IIB viewpoints. |
0905.4590 | Roberto Emparan | Roberto Emparan and Giuseppe Milanesi | Exact Gravitational Dual of a Plasma Ball | 23 pages, 3 figures | JHEP 0908:012,2009 | 10.1088/1126-6708/2009/08/012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an exact solution for a black hole localized near an infrared wall
in four-dimensional anti-deSitter space. By computing the holographic stress
tensor we show that the CFT dual of the black hole is a 2+1-dimensional ball
(i.e., a disk) of plasma at finite temperature, surrounded by vacuum. This
confirms some earlier conjectures about plasma balls in AdS/CFT. We also
estimate the value of the surface tension for the ball. The solution displays a
number of peculiarities, most notably a non-trivial curvature of the boundary
geometry, as well as other properties associated to the vanishing deconfinement
temperature of the set up. We discuss how these features are related to
specific physics at the infrared and ultraviolet boundaries for this solution,
and should not be generic properties of plasma balls.
| [
{
"created": "Thu, 28 May 2009 09:37:53 GMT",
"version": "v1"
}
] | 2010-01-15 | [
[
"Emparan",
"Roberto",
""
],
[
"Milanesi",
"Giuseppe",
""
]
] | We present an exact solution for a black hole localized near an infrared wall in four-dimensional anti-deSitter space. By computing the holographic stress tensor we show that the CFT dual of the black hole is a 2+1-dimensional ball (i.e., a disk) of plasma at finite temperature, surrounded by vacuum. This confirms some earlier conjectures about plasma balls in AdS/CFT. We also estimate the value of the surface tension for the ball. The solution displays a number of peculiarities, most notably a non-trivial curvature of the boundary geometry, as well as other properties associated to the vanishing deconfinement temperature of the set up. We discuss how these features are related to specific physics at the infrared and ultraviolet boundaries for this solution, and should not be generic properties of plasma balls. |
hep-th/9909223 | Robert Marnelius | Igor Batalin, Robert Marnelius | Open group transformations within the Sp(2)-formalism | 16 pages, Latexfile | Int.J.Mod.Phys. A15 (2000) 2077-2092 | 10.1142/S0217751X00000859 | ITP-Goteborg 99-14 | hep-th | null | Previously we have shown that open groups whose generators are in arbitrary
involutions may be quantized within a ghost extended framework in terms of the
nilpotent BFV-BRST charge operator. Here we show that they may also be
quantized within an Sp(2)-frame in which there are two odd anticommuting
operators called Sp(2)-charges. Previous results for finite open group
transformations are generalized to the Sp(2)-formalism. We show that in order
to define open group transformations on the whole ghost extended space we need
Sp(2)-charges in the nonminimal sector which contains dynamical Lagrange
multipliers. We give an Sp(2)-version of the quantum master equation with
extended Sp(2)-charges and a master charge of a more involved form, which is
proposed to represent the integrability conditions of defining operators of
connection operators and which therefore should encode the generalized quantum
Maurer-Cartan equations for arbitrary open groups. General solutions of this
master equation are given in explicit form. A further extended Sp(2)-formalism
is proposed in which the group parameters are quadrupled to a supersymmetric
set and from which all results may be derived.
| [
{
"created": "Thu, 30 Sep 1999 13:06:34 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Batalin",
"Igor",
""
],
[
"Marnelius",
"Robert",
""
]
] | Previously we have shown that open groups whose generators are in arbitrary involutions may be quantized within a ghost extended framework in terms of the nilpotent BFV-BRST charge operator. Here we show that they may also be quantized within an Sp(2)-frame in which there are two odd anticommuting operators called Sp(2)-charges. Previous results for finite open group transformations are generalized to the Sp(2)-formalism. We show that in order to define open group transformations on the whole ghost extended space we need Sp(2)-charges in the nonminimal sector which contains dynamical Lagrange multipliers. We give an Sp(2)-version of the quantum master equation with extended Sp(2)-charges and a master charge of a more involved form, which is proposed to represent the integrability conditions of defining operators of connection operators and which therefore should encode the generalized quantum Maurer-Cartan equations for arbitrary open groups. General solutions of this master equation are given in explicit form. A further extended Sp(2)-formalism is proposed in which the group parameters are quadrupled to a supersymmetric set and from which all results may be derived. |
1610.03663 | Benjamin Assel | Benjamin Assel and Sakura Schafer-Nameki | Six-dimensional Origin of $\mathcal{N}=4$ SYM with Duality Defects | 62 pages, 4 figures | null | 10.1007/JHEP12(2016)058 | CERN-TH-2016-216 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the topologically twisted compactification of the 6d $(2,0)$
M5-brane theory on an elliptically fibered K\"ahler three-fold preserving two
supercharges. We show that upon reducing on the elliptic fiber, the 4d theory
is $\mathcal{N}=4$ Super-Yang Mills, with varying complexified coupling $\tau$,
in the presence of defects. For abelian gauge group this agrees with the
so-called duality twisted theory, and we determine a non-abelian generalization
to $U(N)$. When the elliptic fibration is singular, the 4d theory contains 3d
walls (along the branch-cuts of $\tau$) and 2d surface defects, around which
the 4d theory undergoes $SL(2,\mathbb{Z})$ duality transformations. Such
duality defects carry chiral fields, which from the 6d point of view arise as
modes of the two-form $B$ in the tensor multiplet. Each duality defect has a
flavor symmetry associated to it, which is encoded in the structure of the
singular elliptic fiber above the defect. Generically 2d surface defects will
intersect in points in 4d, where there is an enhanced flavor symmetry. The 6d
point of view provides a complete characterization of this 4d-3d-2d-0d
`Matroshka'-defect configuration.
| [
{
"created": "Wed, 12 Oct 2016 10:39:39 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Assel",
"Benjamin",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] | We study the topologically twisted compactification of the 6d $(2,0)$ M5-brane theory on an elliptically fibered K\"ahler three-fold preserving two supercharges. We show that upon reducing on the elliptic fiber, the 4d theory is $\mathcal{N}=4$ Super-Yang Mills, with varying complexified coupling $\tau$, in the presence of defects. For abelian gauge group this agrees with the so-called duality twisted theory, and we determine a non-abelian generalization to $U(N)$. When the elliptic fibration is singular, the 4d theory contains 3d walls (along the branch-cuts of $\tau$) and 2d surface defects, around which the 4d theory undergoes $SL(2,\mathbb{Z})$ duality transformations. Such duality defects carry chiral fields, which from the 6d point of view arise as modes of the two-form $B$ in the tensor multiplet. Each duality defect has a flavor symmetry associated to it, which is encoded in the structure of the singular elliptic fiber above the defect. Generically 2d surface defects will intersect in points in 4d, where there is an enhanced flavor symmetry. The 6d point of view provides a complete characterization of this 4d-3d-2d-0d `Matroshka'-defect configuration. |
hep-th/0411243 | Shao-You Zhao | Heng Fan, Bo-Yu Hou, Kang-Jie Shi, Rui-Hong Yue and Shao-You Zhao | The Dynamical Yang-Baxter Relation and the Minimal Representation of the
Elliptic Quantum Group | 23 pages | J. Math. Phys. 44 1276-1296 (2003) | 10.1063/1.1543635 | null | hep-th | null | In this paper, we give the general forms of the minimal $L$ matrix (the
elements of the $L$-matrix are $c$ numbers) associated with the Boltzmann
weights of the $A_{n-1}^1$ interaction-round-a-face (IRF) model and the minimal
representation of the $A_{n-1}$ series elliptic quantum group given by Felder
and Varchenko. The explicit dependence of elements of $L$-matrices on spectral
parameter $z$ are given. They are of five different forms (A(1-4) and B). The
algebra for the coefficients (which do not depend on $z$) are given. The
algebra of form A is proved to be trivial, while that of form B obey
Yang-Baxter equation (YBE). We also give the PBW base and the centers for the
algebra of form B.
| [
{
"created": "Fri, 26 Nov 2004 07:28:39 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Fan",
"Heng",
""
],
[
"Hou",
"Bo-Yu",
""
],
[
"Shi",
"Kang-Jie",
""
],
[
"Yue",
"Rui-Hong",
""
],
[
"Zhao",
"Shao-You",
""
]
] | In this paper, we give the general forms of the minimal $L$ matrix (the elements of the $L$-matrix are $c$ numbers) associated with the Boltzmann weights of the $A_{n-1}^1$ interaction-round-a-face (IRF) model and the minimal representation of the $A_{n-1}$ series elliptic quantum group given by Felder and Varchenko. The explicit dependence of elements of $L$-matrices on spectral parameter $z$ are given. They are of five different forms (A(1-4) and B). The algebra for the coefficients (which do not depend on $z$) are given. The algebra of form A is proved to be trivial, while that of form B obey Yang-Baxter equation (YBE). We also give the PBW base and the centers for the algebra of form B. |
0803.1963 | Mees de Roo | Eric A. Bergshoeff, Mees de Roo, Sven F. Kerstan, Axel Kleinschmidt,
Fabio Riccioni | Dual Gravity and Matter | 12 pages, additional references | Gen.Rel.Grav.41:39-48,2009 | 10.1007/s10714-008-0650-4 | UG-08-03, ULB-TH/08-08, KCL-MTH-08-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the problem of finding a dual formulation of gravity in the
presence of non-trivial matter couplings. In the absence of matter a dual
graviton can be introduced only for linearised gravitational interactions. We
show that the coupling of linearised gravity to matter poses obstructions to
the usual construction and comment on possible resolutions of this difficulty.
| [
{
"created": "Thu, 13 Mar 2008 13:35:42 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2008 09:49:46 GMT",
"version": "v2"
}
] | 2009-01-16 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"de Roo",
"Mees",
""
],
[
"Kerstan",
"Sven F.",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Riccioni",
"Fabio",
""
]
] | We consider the problem of finding a dual formulation of gravity in the presence of non-trivial matter couplings. In the absence of matter a dual graviton can be introduced only for linearised gravitational interactions. We show that the coupling of linearised gravity to matter poses obstructions to the usual construction and comment on possible resolutions of this difficulty. |
hep-th/9207105 | null | S.W.Hawking and J.M.Stewart | Naked and Thunderbolt Singularities in Black Hole Evaporation | 21 pages (10 diagrams available on request) | Nucl.Phys.B400:393-415,1993 | 10.1016/0550-3213(93)90410-Q | null | hep-th | null | If an evaporating black hole does not settle down to a non radiating remnant,
a description by a semi classical Lorentz metric must contain either a naked
singularity or what we call a thunderbolt, a singularity that spreads out to
infinity on a spacelike or null path. We investigate this question in the
context of various two dimensional models that have been proposed. We find that
if the semi classical equations have an extra symmetry that make them solvable
in closed form, they seem to predict naked singularities but numerical
calculations indicate that more general semi classical equations, such as the
original CGHS ones give rise to thunderbolts. We therefore expect that the semi
classical approximation in four dimensions will lead to thunderbolts. We
interpret the prediction of thunderbolts as indicating that the semi classical
approximation breaks down at the end point of black hole evaporation, and we
would expect that a full quantum treatment would replace the thunderbolt with a
burst of high energy particles. The energy in such a burst would be too small
to account for the observed gamma ray bursts.
| [
{
"created": "Thu, 30 Jul 1992 15:36:54 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Hawking",
"S. W.",
""
],
[
"Stewart",
"J. M.",
""
]
] | If an evaporating black hole does not settle down to a non radiating remnant, a description by a semi classical Lorentz metric must contain either a naked singularity or what we call a thunderbolt, a singularity that spreads out to infinity on a spacelike or null path. We investigate this question in the context of various two dimensional models that have been proposed. We find that if the semi classical equations have an extra symmetry that make them solvable in closed form, they seem to predict naked singularities but numerical calculations indicate that more general semi classical equations, such as the original CGHS ones give rise to thunderbolts. We therefore expect that the semi classical approximation in four dimensions will lead to thunderbolts. We interpret the prediction of thunderbolts as indicating that the semi classical approximation breaks down at the end point of black hole evaporation, and we would expect that a full quantum treatment would replace the thunderbolt with a burst of high energy particles. The energy in such a burst would be too small to account for the observed gamma ray bursts. |
hep-th/0605281 | Avtandil Shurgaia | A. V. Shurgaia, H. J. W. Mueller-Kirsten | Space Symmetries and Quantum Behavior of Finite Energy Configurations in
SU(2)-Gauge Theory | LaTex, 17 pages typos corrected | Int.J.Mod.Phys.A22:3655-3667,2007 | 10.1142/S0217751X07037020 | null | hep-th | null | The quantum properties of localized finite energy solutions to classical
Euler-Lagrange equations are investigated using the method of collective
coordinates. The perturbation theory in terms of inverse powers of the coupling
constant $g$ is constructed, taking into account the conservation laws of
momentum and angular momentum (invariance of the action with respect to the
group of motion M(3) of 3-dimensional Euclidean space) rigorously in every
order of perturbation theory.
| [
{
"created": "Mon, 29 May 2006 18:51:33 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Aug 2006 19:43:23 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Aug 2006 08:00:03 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Shurgaia",
"A. V.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
]
] | The quantum properties of localized finite energy solutions to classical Euler-Lagrange equations are investigated using the method of collective coordinates. The perturbation theory in terms of inverse powers of the coupling constant $g$ is constructed, taking into account the conservation laws of momentum and angular momentum (invariance of the action with respect to the group of motion M(3) of 3-dimensional Euclidean space) rigorously in every order of perturbation theory. |
hep-th/0210147 | P. M. Sutcliffe | Richard Battye, Conor Houghton and Paul Sutcliffe | Icosahedral Skyrmions | 15 pages, including 4 figures | J.Math.Phys. 44 (2003) 3543-3554 | 10.1063/1.1584209 | null | hep-th | null | In this paper we aim to determine the baryon numbers at which the minimal
energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as
minimal energy Skyrmions with the dual of polyhedra that minimize the energy of
Coulomb charges on a sphere, we are led to conjecture a sequence of magic
baryon numbers, B=7,17,37,67,97,... at which the minimal energy Skyrmion has
icosahedral symmetry and unusually low energy. We present evidence for this
conjecture by applying a simulated annealing algorithm to compute energy
minimizing rational maps for all degrees upto 40. Further evidence is provided
by the explicit construction of icosahedrally symmetric rational maps of
degrees 37, 47, 67 and 97. To calculate these maps we introduce two new methods
for computing rational maps with Platonic symmetries.
| [
{
"created": "Wed, 16 Oct 2002 08:54:02 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Battye",
"Richard",
""
],
[
"Houghton",
"Conor",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | In this paper we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize the energy of Coulomb charges on a sphere, we are led to conjecture a sequence of magic baryon numbers, B=7,17,37,67,97,... at which the minimal energy Skyrmion has icosahedral symmetry and unusually low energy. We present evidence for this conjecture by applying a simulated annealing algorithm to compute energy minimizing rational maps for all degrees upto 40. Further evidence is provided by the explicit construction of icosahedrally symmetric rational maps of degrees 37, 47, 67 and 97. To calculate these maps we introduce two new methods for computing rational maps with Platonic symmetries. |
1006.3341 | James Halverson | Mirjam Cveti\v{c}, James Halverson, Paul Langacker | Singlet Extensions of the MSSM in the Quiver Landscape | 15 pages, plus references. Version 2: accepted to JHEP | JHEP 1009:076,2010 | 10.1007/JHEP09(2010)076 | UPR-1217-T, NSF-KITP-10-087 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We map out possible extensions of the MSSM in the context of type II string
theory. We systematically investigate three-stack and four-stack quivers which
realize the MSSM spectrum with the addition of a single MSSM singlet S with an
allowed S H_u H_d term, which can lead to a dynamical electroweak-scale
mu-term. We present the three quivers which satisfy stringent string-theoretic
and phenomenological constraints, including the presence of non-zero masses for
all three families of quarks and leptons, the perturbative and non-perturbative
absence of R-parity violating couplings and rapid dimension-five proton decay,
and a mechanism for small neutrino masses. We find that these quivers can
realize many models in the class of singlet-extended (supersymmetric) standard
models, as D-instanton effects can in principle generate a superpotential of
the form f(S), where f is a polynomial. Finally, we address the issue of the
stabilization and decoupling of charged moduli which generically appear in
D-instanton corrections to the superpotential.
| [
{
"created": "Wed, 16 Jun 2010 23:02:57 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Sep 2010 19:19:52 GMT",
"version": "v2"
}
] | 2014-11-21 | [
[
"Cvetič",
"Mirjam",
""
],
[
"Halverson",
"James",
""
],
[
"Langacker",
"Paul",
""
]
] | We map out possible extensions of the MSSM in the context of type II string theory. We systematically investigate three-stack and four-stack quivers which realize the MSSM spectrum with the addition of a single MSSM singlet S with an allowed S H_u H_d term, which can lead to a dynamical electroweak-scale mu-term. We present the three quivers which satisfy stringent string-theoretic and phenomenological constraints, including the presence of non-zero masses for all three families of quarks and leptons, the perturbative and non-perturbative absence of R-parity violating couplings and rapid dimension-five proton decay, and a mechanism for small neutrino masses. We find that these quivers can realize many models in the class of singlet-extended (supersymmetric) standard models, as D-instanton effects can in principle generate a superpotential of the form f(S), where f is a polynomial. Finally, we address the issue of the stabilization and decoupling of charged moduli which generically appear in D-instanton corrections to the superpotential. |
1108.6236 | Luis Granda | L. N. Granda | Dark energy from scalar field with Gauss Bonnet and non-minimal kinetic
coupling | 21 pages | null | 10.1142/S0217732312500186 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a model of scalar field with a general non-minimal kinetic coupling
to itself and to the curvature, and additional coupling to the Gauss Bonnet
4-dimensional invariant. The model presents rich cosmological dynamics and some
of its solutions are analyzed. A variety of scalar fields and potentials giving
rise to power-law expansion have been found. The dynamical equation of state is
studied for two cases, with and without free kinetic term . In both cases
phenomenologically acceptable solutions have been found. Some solutions
describe essentially dark energy behavior, and and some solutions contain the
decelerated and accelerated phases.
| [
{
"created": "Wed, 31 Aug 2011 14:12:30 GMT",
"version": "v1"
}
] | 2012-02-01 | [
[
"Granda",
"L. N.",
""
]
] | We study a model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, and additional coupling to the Gauss Bonnet 4-dimensional invariant. The model presents rich cosmological dynamics and some of its solutions are analyzed. A variety of scalar fields and potentials giving rise to power-law expansion have been found. The dynamical equation of state is studied for two cases, with and without free kinetic term . In both cases phenomenologically acceptable solutions have been found. Some solutions describe essentially dark energy behavior, and and some solutions contain the decelerated and accelerated phases. |
hep-th/9906057 | Csaba Csaki | Csaba Csaki (Berkeley), Witold Skiba (San Diego), John Terning
(Berkeley) | Beta Functions of Orbifold Theories and the Hierarchy Problem | 21 pages, LaTeX, 6 figures. Minor clarifications, references added | Phys.Rev.D61:025019,2000 | 10.1103/PhysRevD.61.025019 | LBNL-4342, UCB-PTH-99/27, UCSD-PTH-99/07 | hep-th hep-ph | null | We examine a class of gauge theories obtained by projecting out certain
fields from an N=4 supersymmetric SU(N) gauge theory. These theories are
non-supersymmetric and in the large N limit are known to be conformal. Recently
it was proposed that the hierarchy problem could be solved by embedding the
standard model in a theory of this kind with finite N. In order to check this
claim one must find the conformal points of the theory. To do this we calculate
the one-loop beta functions for the Yukawa and quartic scalar couplings. We
find that with the beta functions set to zero the one-loop quadratic
divergences are not canceled at sub-leading order in N; thus the hierarchy
between the weak scale and the Planck scale is not stabilized unless N is of
the order 10^28 or larger. We also find that at sub-leading orders in N
renormalization induces new interactions, which were not present in the
original Lagrangian.
| [
{
"created": "Tue, 8 Jun 1999 01:10:07 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jun 1999 23:09:42 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Csaki",
"Csaba",
"",
"Berkeley"
],
[
"Skiba",
"Witold",
"",
"San Diego"
],
[
"Terning",
"John",
"",
"Berkeley"
]
] | We examine a class of gauge theories obtained by projecting out certain fields from an N=4 supersymmetric SU(N) gauge theory. These theories are non-supersymmetric and in the large N limit are known to be conformal. Recently it was proposed that the hierarchy problem could be solved by embedding the standard model in a theory of this kind with finite N. In order to check this claim one must find the conformal points of the theory. To do this we calculate the one-loop beta functions for the Yukawa and quartic scalar couplings. We find that with the beta functions set to zero the one-loop quadratic divergences are not canceled at sub-leading order in N; thus the hierarchy between the weak scale and the Planck scale is not stabilized unless N is of the order 10^28 or larger. We also find that at sub-leading orders in N renormalization induces new interactions, which were not present in the original Lagrangian. |
1409.1539 | Marco Schreck MS | M. Schreck | Classical kinematics for isotropic, minimal Lorentz-violating fermion
operators | 20 pages | Phys. Rev. D 91, 105001 (2015) | 10.1103/PhysRevD.91.105001 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article the classical, relativistic Lagrangian based on the isotropic
fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is
considered. The motion of the associated classical particle in an external
electromagnetic field is studied and the evolution of its spin, which is
introduced by hand, is investigated. It is shown that the particle travels
along trajectories that are scaled versions of the standard ones. Furthermore
there is no spin precession due to Lorentz violation, but the rate is modified
at which the longitudinal and transverse spin components transform into each
other. This demonstrates that it is practical to consider classical physics
within such an isotropic Lorentz-violating framework and it opens the pathway
to study a curved background in that context.
| [
{
"created": "Thu, 4 Sep 2014 19:06:05 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Sep 2014 02:49:44 GMT",
"version": "v2"
},
{
"created": "Sun, 10 May 2015 21:11:18 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Schreck",
"M.",
""
]
] | In this article the classical, relativistic Lagrangian based on the isotropic fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is considered. The motion of the associated classical particle in an external electromagnetic field is studied and the evolution of its spin, which is introduced by hand, is investigated. It is shown that the particle travels along trajectories that are scaled versions of the standard ones. Furthermore there is no spin precession due to Lorentz violation, but the rate is modified at which the longitudinal and transverse spin components transform into each other. This demonstrates that it is practical to consider classical physics within such an isotropic Lorentz-violating framework and it opens the pathway to study a curved background in that context. |
1608.00144 | Ian Nagle | Ian Nagle | Fluid Dynamics and Entropic Gravity | For the International Moscow School of Physics / ITEP Winter School
2016. Proceedings to be published in Physics of Atomic Nuclei | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new entropic gravity inspired derivation of general relativity from
thermodynamics is presented. This generalizes, within Einstein gravity, the
"Thermodynamics of Spacetime" approach by T. Jacobson, which relies on the
Raychaudhuri evolution equation. Here the rest of the first law of
thermodynamics is incorporated by using the Damour-Navier-Stokes equation,
known from the membrane paradigm for describing fluid dynamics on the horizon.
| [
{
"created": "Sat, 30 Jul 2016 16:48:36 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Aug 2016 16:29:06 GMT",
"version": "v2"
}
] | 2016-08-05 | [
[
"Nagle",
"Ian",
""
]
] | A new entropic gravity inspired derivation of general relativity from thermodynamics is presented. This generalizes, within Einstein gravity, the "Thermodynamics of Spacetime" approach by T. Jacobson, which relies on the Raychaudhuri evolution equation. Here the rest of the first law of thermodynamics is incorporated by using the Damour-Navier-Stokes equation, known from the membrane paradigm for describing fluid dynamics on the horizon. |
hep-th/0206235 | Michael J. W. Hall | Michael J.W. Hall, Kailash Kumar, and Marcel Reginatto | Exact uncertainty properties of bosonic fields | revtex4, 31 pages, clarifications made. Due to the logical
independence (and lengths) of (A) and (B), the corresponding sections will be
published separately | null | null | null | hep-th gr-qc quant-ph | null | (A) The momentum density conjugate to a bosonic quantum field splits
naturally into the sum of a classical component and a nonclassical component.
It is shown that the field and the nonclassical component of the momentum
density satisfy an_exact_ uncertainty relation, i.e., an equality, which
underlies the Heisenberg-type uncertainty relation for fields.
(B) The above motivates a new approach to deriving and interpreting bosonic
quantum fields, based on an exact uncertainty principle. In particular, the
postulate that an ensemble of classical fields is subject to nonclassical
momentum fluctuations, of a strength determined by the field uncertainty, leads
from the classical to the quantum field equations. Examples include scalar,
electromagnetic and gravitational fields. For the latter case the exact
uncertainty principle specifies a unique (non-Laplacian) operator ordering for
the Wheeler-deWitt equation.
| [
{
"created": "Wed, 26 Jun 2002 12:00:08 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2002 07:23:32 GMT",
"version": "v2"
},
{
"created": "Wed, 7 May 2003 00:22:55 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Hall",
"Michael J. W.",
""
],
[
"Kumar",
"Kailash",
""
],
[
"Reginatto",
"Marcel",
""
]
] | (A) The momentum density conjugate to a bosonic quantum field splits naturally into the sum of a classical component and a nonclassical component. It is shown that the field and the nonclassical component of the momentum density satisfy an_exact_ uncertainty relation, i.e., an equality, which underlies the Heisenberg-type uncertainty relation for fields. (B) The above motivates a new approach to deriving and interpreting bosonic quantum fields, based on an exact uncertainty principle. In particular, the postulate that an ensemble of classical fields is subject to nonclassical momentum fluctuations, of a strength determined by the field uncertainty, leads from the classical to the quantum field equations. Examples include scalar, electromagnetic and gravitational fields. For the latter case the exact uncertainty principle specifies a unique (non-Laplacian) operator ordering for the Wheeler-deWitt equation. |
1012.4003 | Luis Fernando Alday | Luis F. Alday | Review of AdS/CFT Integrability, Chapter V.3: Scattering Amplitudes at
Strong Coupling | 20 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3:published version | null | 10.1007/s11005-011-0518-5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the computation of scattering amplitudes of planar maximally
super-symmetric Yang-Mills at strong coupling. By using the AdS/CFT duality the
problem boils down to the computation of the area of certain minimal surfaces
on AdS. The integrability of the model can then be efficiently used in order to
give an answer for the problem in terms of a set of integral equations.
| [
{
"created": "Fri, 17 Dec 2010 20:58:22 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 19:33:51 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2011 21:17:47 GMT",
"version": "v3"
}
] | 2015-05-20 | [
[
"Alday",
"Luis F.",
""
]
] | We review the computation of scattering amplitudes of planar maximally super-symmetric Yang-Mills at strong coupling. By using the AdS/CFT duality the problem boils down to the computation of the area of certain minimal surfaces on AdS. The integrability of the model can then be efficiently used in order to give an answer for the problem in terms of a set of integral equations. |
hep-th/9807182 | Melanie Becker | Katrin Becker and Melanie Becker | Complete Solution for M(atrix) Theory at Two Loops | 4 pages, TeX, no figures | JHEP 9809:019,1998 | 10.1088/1126-6708/1998/09/019 | CALT-68-2186 | hep-th | null | The complete result for the effective potential for two graviton exchange at
two loops in M(atrix) theory can be expressed in terms of a generalized
hypergeometric function.
| [
{
"created": "Thu, 23 Jul 1998 23:07:11 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
]
] | The complete result for the effective potential for two graviton exchange at two loops in M(atrix) theory can be expressed in terms of a generalized hypergeometric function. |
1004.5360 | Francisco A. Brito | M. A. Anacleto, F. A. Brito and E. Passos | Acoustic Black Holes from Abelian Higgs Model with Lorentz Symmetry
Breaking | 12 pages, Latex, no figures, version accepted to Phys. Lett. B | Phys.Lett.B694:149-157,2010 | 10.1016/j.physletb.2010.09.045 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we derive acoustic black hole metrics in the (3+1) and
(2+1)-dimensional Abelian Higgs model with Lorentz symmetry breaking. In this
set up the sound waves lose the Lorentz boost invariance and suffer a
'birefringence' effect. We have found acoustic black holes and respective
Hawking temperatures depending on the Lorentz violating parameter. Furthermore,
we obtain an acoustic Kerr-like black hole metric with the Lorentz violating
term affecting its rate of loss of mass. We also have shown that for suitable
values of the Lorentz violating parameter a wider spectrum of particle wave
function can be scattered with increased amplitude by the acoustic black hole.
| [
{
"created": "Thu, 29 Apr 2010 18:55:44 GMT",
"version": "v1"
},
{
"created": "Fri, 7 May 2010 16:13:03 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Sep 2010 19:34:50 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Anacleto",
"M. A.",
""
],
[
"Brito",
"F. A.",
""
],
[
"Passos",
"E.",
""
]
] | In this paper we derive acoustic black hole metrics in the (3+1) and (2+1)-dimensional Abelian Higgs model with Lorentz symmetry breaking. In this set up the sound waves lose the Lorentz boost invariance and suffer a 'birefringence' effect. We have found acoustic black holes and respective Hawking temperatures depending on the Lorentz violating parameter. Furthermore, we obtain an acoustic Kerr-like black hole metric with the Lorentz violating term affecting its rate of loss of mass. We also have shown that for suitable values of the Lorentz violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole. |
1304.3835 | Elena Gubankova | E.Gubankova, J. Brill, M. Cubrovic, K. Schalm, P. Schijven and J.
Zaanen | Holographic description of strongly correlated electrons in external
magnetic fields | 39 pages, 11 figures, Ch. 21, Lect. Notes Phys. "Strongly interacting
matter in magnetic fields" (Springer), edited by D. Kharzeev, K. Landsteiner,
A. Schmitt, H.-U. Yee. arXiv admin note: substantial text overlap with
arXiv:1011.4051 | null | 10.1007/978-3-642-37305-3_21 | null | hep-th cond-mat.str-el hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Fermi level structure of (2+1)-dimensional strongly interacting
electron systems in external magnetic field using the AdS/CFT correspondence.
The gravity dual of a finite density fermion system is a Dirac field in the
background of the dyonic AdS-Reissner-Nordstrom black hole. In the probe limit
the magnetic system can be reduced to the non-magnetic one, with
Landau-quantized momenta and rescaled thermodynamical variables. We find that
at strong enough magnetic fields, the Fermi surface vanishes and the
quasiparticle is lost either through a crossover to conformal regime or through
a phase transition to an unstable Fermi surface. In the latter case, the
vanishing Fermi velocity at the critical magnetic field triggers the non-Fermi
liquid regime with unstable quasiparticles and a change in transport properties
of the system. We associate it with a metal-"strange metal" phase transition.
We compute the DC Hall and longitudinal conductivities using the
gravity-dressed fermion propagators. As expected, the Hall conductivity is
quantized according to integer Quantum Hall Effect (QHE) at weak magnetic
fields. At strong magnetic fields, new plateaus typical for the fractional QHE
appear. Our pattern closely resembles the experimental results on graphite
which are described using the fractional filling factor proposed by Halperin.
| [
{
"created": "Sat, 13 Apr 2013 19:16:32 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Gubankova",
"E.",
""
],
[
"Brill",
"J.",
""
],
[
"Cubrovic",
"M.",
""
],
[
"Schalm",
"K.",
""
],
[
"Schijven",
"P.",
""
],
[
"Zaanen",
"J.",
""
]
] | We study the Fermi level structure of (2+1)-dimensional strongly interacting electron systems in external magnetic field using the AdS/CFT correspondence. The gravity dual of a finite density fermion system is a Dirac field in the background of the dyonic AdS-Reissner-Nordstrom black hole. In the probe limit the magnetic system can be reduced to the non-magnetic one, with Landau-quantized momenta and rescaled thermodynamical variables. We find that at strong enough magnetic fields, the Fermi surface vanishes and the quasiparticle is lost either through a crossover to conformal regime or through a phase transition to an unstable Fermi surface. In the latter case, the vanishing Fermi velocity at the critical magnetic field triggers the non-Fermi liquid regime with unstable quasiparticles and a change in transport properties of the system. We associate it with a metal-"strange metal" phase transition. We compute the DC Hall and longitudinal conductivities using the gravity-dressed fermion propagators. As expected, the Hall conductivity is quantized according to integer Quantum Hall Effect (QHE) at weak magnetic fields. At strong magnetic fields, new plateaus typical for the fractional QHE appear. Our pattern closely resembles the experimental results on graphite which are described using the fractional filling factor proposed by Halperin. |
hep-th/0106079 | Takao Suyama | Takao Suyama | Closed String Tachyons in Non-supersymmetric Heterotic Theories | 15 pages, references added | JHEP 0108:037,2001 | 10.1088/1126-6708/2001/08/037 | KEK-TH-771 | hep-th | null | We calculate partition functions for supersymmetric heterotic theories on
Melvin background with Wilson line. These functions coincide with partition
functions for some of non-supersymmetric heterotic theories in appropriate
limits. This suggests that non-supersymmetric heterotic theories are equivalent
to supersymmetric theories on supersymmetry-breaking backgrounds, just as in
the case of recently conjectured IIA-0A duality.
| [
{
"created": "Mon, 11 Jun 2001 07:20:59 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jun 2001 03:49:59 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Suyama",
"Takao",
""
]
] | We calculate partition functions for supersymmetric heterotic theories on Melvin background with Wilson line. These functions coincide with partition functions for some of non-supersymmetric heterotic theories in appropriate limits. This suggests that non-supersymmetric heterotic theories are equivalent to supersymmetric theories on supersymmetry-breaking backgrounds, just as in the case of recently conjectured IIA-0A duality. |
hep-th/9210099 | null | M. de Roo, H. Suelmann and A. Wiedemann | The Supersymmetric Effective Action of the Heterotic String in Ten
Dimensions | 42 pages, UG-9/92 | Nucl.Phys. B405 (1993) 326-366 | 10.1016/0550-3213(93)90550-9 | null | hep-th | null | We construct the supersymmetric completion of quartic $R+R^4$-actions in the
ten-dimensional effective action of the heterotic string. Two invariants, of
which the bosonic parts are known from one-loop string amplitude calculations,
are obtained. One of these invariants can be generalized to an
$R+F^2+F^4$-invariant for supersymmetric Yang-Mills theory coupled to
supergravity.
Supersymmetry requires the presence of $B\wedge R\wedge R\wedge
R\wedge R$-terms, ($B\wedge F\wedge F\wedge F\wedge F$ for
Yang-Mills) which correspond to counterterms in the Green-Schwarz anomaly
cancellation. Within the context of our calculation the $\zeta(3)R^4$-term from
the tree-level string effective action does not allow supersymmetrization.
| [
{
"created": "Mon, 19 Oct 1992 08:38:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"de Roo",
"M.",
""
],
[
"Suelmann",
"H.",
""
],
[
"Wiedemann",
"A.",
""
]
] | We construct the supersymmetric completion of quartic $R+R^4$-actions in the ten-dimensional effective action of the heterotic string. Two invariants, of which the bosonic parts are known from one-loop string amplitude calculations, are obtained. One of these invariants can be generalized to an $R+F^2+F^4$-invariant for supersymmetric Yang-Mills theory coupled to supergravity. Supersymmetry requires the presence of $B\wedge R\wedge R\wedge R\wedge R$-terms, ($B\wedge F\wedge F\wedge F\wedge F$ for Yang-Mills) which correspond to counterterms in the Green-Schwarz anomaly cancellation. Within the context of our calculation the $\zeta(3)R^4$-term from the tree-level string effective action does not allow supersymmetrization. |
1506.04491 | Boris Merzlikin | Peter M. Lavrov, Boris S. Merzlikin | Loop expansion of the average effective action in the functional
renormalization group approach | 15 pages; v3: minor corrections, references added | Phys. Rev. D 92, 085038 (2015) | 10.1103/PhysRevD.92.085038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate a perturbation expansion for the effective action in a new
approach to the functional renormalization group method based on the concept of
composite fields for regulator functions being their most essential
ingredients. We demonstrate explicitly the principal difference between the
properties of effective actions in these two approaches existing already on the
one-loop level in a simple gauge model.
| [
{
"created": "Mon, 15 Jun 2015 07:19:06 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2015 09:13:57 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Dec 2015 15:17:48 GMT",
"version": "v3"
}
] | 2015-12-24 | [
[
"Lavrov",
"Peter M.",
""
],
[
"Merzlikin",
"Boris S.",
""
]
] | We formulate a perturbation expansion for the effective action in a new approach to the functional renormalization group method based on the concept of composite fields for regulator functions being their most essential ingredients. We demonstrate explicitly the principal difference between the properties of effective actions in these two approaches existing already on the one-loop level in a simple gauge model. |
2112.13783 | Chethan Krishnan | Chethan Krishnan, Vyshnav Mohan | Interpreting the Bulk Page Curve: A Vestige of Locality on Holographic
Screens | Lots of pictures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Areas of extremal surfaces anchored to sub-regions on screens in Minkowski
space satisfy various entanglement entropy inequalities. In 2+1 dimensions
where the arguments are simplest, we demonstrate (a) monogamy of mutual
information, (b) various versions of (strong) subadditivity, (c) various
inequalities involving the entanglement of purification, as well as (e)
reflection inequality and (f) Araki-Lieb inequality. Just as in AdS,
Linden-Winter and the tower of Cadney-Linden-Winter inequalities are satisfied
trivially. All of these are purely geometric (and therefore unambiguous)
statements, and we expect them to hold semi-classically when $G_N \rightarrow
0$. The results of arXiv:2103.17253 suggest that it is unlikely that there is
non-analyticity at $G_N=0$. These observations have relevance for the Page
phase transition in flat space black holes observed with respect to a screen in
arXiv:2005.02993 and arXiv:2006.06872. In particular, they constitute a
Lorentzian argument that these extremal surface transitions are indeed phase
transitions of $some$ suitably defined entanglement entropy associated to
$subregions$ on the screen.
| [
{
"created": "Mon, 27 Dec 2021 17:01:11 GMT",
"version": "v1"
}
] | 2021-12-28 | [
[
"Krishnan",
"Chethan",
""
],
[
"Mohan",
"Vyshnav",
""
]
] | Areas of extremal surfaces anchored to sub-regions on screens in Minkowski space satisfy various entanglement entropy inequalities. In 2+1 dimensions where the arguments are simplest, we demonstrate (a) monogamy of mutual information, (b) various versions of (strong) subadditivity, (c) various inequalities involving the entanglement of purification, as well as (e) reflection inequality and (f) Araki-Lieb inequality. Just as in AdS, Linden-Winter and the tower of Cadney-Linden-Winter inequalities are satisfied trivially. All of these are purely geometric (and therefore unambiguous) statements, and we expect them to hold semi-classically when $G_N \rightarrow 0$. The results of arXiv:2103.17253 suggest that it is unlikely that there is non-analyticity at $G_N=0$. These observations have relevance for the Page phase transition in flat space black holes observed with respect to a screen in arXiv:2005.02993 and arXiv:2006.06872. In particular, they constitute a Lorentzian argument that these extremal surface transitions are indeed phase transitions of $some$ suitably defined entanglement entropy associated to $subregions$ on the screen. |
hep-th/9304027 | Steve Giddings | S.B. Giddings | Constraints on Black Hole Remnants | harvmac, 27 pages (l mode), 4 figures included with epsf. (Revision:
references added.) UCSBTH-93-08 | Phys.Rev.D49:947-957,1994 | 10.1103/PhysRevD.49.947 | null | hep-th gr-qc | null | One possible fate of information lost to black holes is its preservation in
black hole remnants. It is argued that a type of effective field theory
describes such remnants (generically referred to as informons). The general
structure of such a theory is investigated and the infinite pair production
problem is revisited. A toy model for remnants clarifies some of the basic
issues; in particular, infinite remnant production is not suppressed simply by
the large internal volumes as proposed in cornucopion scenarios. Criteria for
avoiding infinite production are stated in terms of couplings in the effective
theory. Such instabilities remain a problem barring what would be described in
that theory as a strong coupling conspiracy. The relation to euclidean
calculations of cornucopion production is sketched, and potential flaws in that
analysis are outlined. However, it is quite plausible that pair production of
ordinary black holes (e.g. Reissner Nordstrom or others) is suppressed due to
strong effective couplings. It also remains an open possibility that a
microscopic dynamics can be found yielding an appropriate strongly coupled
effective theory of neutral informons without infinite pair production.
| [
{
"created": "Wed, 7 Apr 1993 17:34:20 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Apr 1993 01:58:49 GMT",
"version": "v2"
},
{
"created": "Mon, 10 May 1993 22:00:04 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Giddings",
"S. B.",
""
]
] | One possible fate of information lost to black holes is its preservation in black hole remnants. It is argued that a type of effective field theory describes such remnants (generically referred to as informons). The general structure of such a theory is investigated and the infinite pair production problem is revisited. A toy model for remnants clarifies some of the basic issues; in particular, infinite remnant production is not suppressed simply by the large internal volumes as proposed in cornucopion scenarios. Criteria for avoiding infinite production are stated in terms of couplings in the effective theory. Such instabilities remain a problem barring what would be described in that theory as a strong coupling conspiracy. The relation to euclidean calculations of cornucopion production is sketched, and potential flaws in that analysis are outlined. However, it is quite plausible that pair production of ordinary black holes (e.g. Reissner Nordstrom or others) is suppressed due to strong effective couplings. It also remains an open possibility that a microscopic dynamics can be found yielding an appropriate strongly coupled effective theory of neutral informons without infinite pair production. |
1012.1616 | Dmitry Melnikov | Anatoly Dymarsky, Dmitry Melnikov and Jacob Sonnenschein | Attractive Holographic Baryons | 36 pages, 4 figures | null | 10.1007/JHEP06(2011)145 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a holographic model of baryon interactions based on
non-supersymmetric D7-anti-D7 flavor branes embedded in the Klebanov-Strassler
background. The baryons are D3-branes wrapping the 3-sphere of the conifold
with M strings connecting the D3 and the flavor branes. Depending on the
location of the latter there are two possibilities: the D3 either remains
separate from the flavor branes or dissolves in them and becomes a flavor
instanton. The leading order interaction between the baryons is a competition
between the attraction and the repulsion due to the sigma and omega mesons. The
lightest 0++ particle sigma is a pseudo-Goldstone boson associated with the
spontaneous breaking of scale invariance. In a certain range of parameters it
is parametrically lighter than any other massive state. As a result at large
distances baryons attract each other. At short distances the potential admits a
repulsive core due to an exchange of the omega vector meson. We discuss baryon
coupling to glueballs, massive mesons and pions and point out the condition for
the model to have a small binding energy.
| [
{
"created": "Tue, 7 Dec 2010 21:35:30 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Dymarsky",
"Anatoly",
""
],
[
"Melnikov",
"Dmitry",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | We propose a holographic model of baryon interactions based on non-supersymmetric D7-anti-D7 flavor branes embedded in the Klebanov-Strassler background. The baryons are D3-branes wrapping the 3-sphere of the conifold with M strings connecting the D3 and the flavor branes. Depending on the location of the latter there are two possibilities: the D3 either remains separate from the flavor branes or dissolves in them and becomes a flavor instanton. The leading order interaction between the baryons is a competition between the attraction and the repulsion due to the sigma and omega mesons. The lightest 0++ particle sigma is a pseudo-Goldstone boson associated with the spontaneous breaking of scale invariance. In a certain range of parameters it is parametrically lighter than any other massive state. As a result at large distances baryons attract each other. At short distances the potential admits a repulsive core due to an exchange of the omega vector meson. We discuss baryon coupling to glueballs, massive mesons and pions and point out the condition for the model to have a small binding energy. |
2307.13051 | Jan Boruch | Jan Boruch, Luca V. Iliesiu, Cynthia Yan | Constructing all BPS black hole microstates from the gravitational path
integral | 39 pages with appendices; minor corrections made, references added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Understanding how to prepare and count black hole micro-states by using the
gravitational path integral is one of the most important problems in quantum
gravity. Nevertheless, a state-by-state count of black hole microstates is
difficult because the apparent number of degrees of freedom available in the
gravitational effective theory can vastly exceed the entropy of the black hole,
even in the special case of BPS black holes. In this paper, we show that we can
use the gravitational path integral to prepare a basis for the Hilbert space of
all BPS black hole microstates. We find that the dimension of this Hilbert
space computed by an explicit state count is in complete agreement with the
degeneracy obtained from the Gibbons-Hawking prescription. Specifically, this
match includes all non-perturbative corrections in $1/G_N$. Such corrections
are, in turn, necessary in order for this degeneracy of BPS states to match the
non-perturbative terms in the $1/G_N$ expansion in the string theory count of
such microstates.
| [
{
"created": "Mon, 24 Jul 2023 18:01:37 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2024 21:48:06 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Boruch",
"Jan",
""
],
[
"Iliesiu",
"Luca V.",
""
],
[
"Yan",
"Cynthia",
""
]
] | Understanding how to prepare and count black hole micro-states by using the gravitational path integral is one of the most important problems in quantum gravity. Nevertheless, a state-by-state count of black hole microstates is difficult because the apparent number of degrees of freedom available in the gravitational effective theory can vastly exceed the entropy of the black hole, even in the special case of BPS black holes. In this paper, we show that we can use the gravitational path integral to prepare a basis for the Hilbert space of all BPS black hole microstates. We find that the dimension of this Hilbert space computed by an explicit state count is in complete agreement with the degeneracy obtained from the Gibbons-Hawking prescription. Specifically, this match includes all non-perturbative corrections in $1/G_N$. Such corrections are, in turn, necessary in order for this degeneracy of BPS states to match the non-perturbative terms in the $1/G_N$ expansion in the string theory count of such microstates. |
hep-th/9807120 | Maxim Zabzine | Maxim Zabzine (Stockholm University) | Fractional instantons in supersymmetric gauge theories | 12 pages, Latex; references and comments added, some arguments
improved | null | null | USITP-98-15 | hep-th | null | We consider evidence for the existence of gauge configurations with
fractional charge in pure N=1 supersymmetric Yang-Mills theory . We argue that
these field configurations are singular and have to be treated as
distributions. It is shown that the path integral representation of constant
Green's functions can be reduced to a finite dimensional integral. The
fractional configurations are essentially the zero size limit of the usual
instantons and they have a reduced number of fermionic zero modes. At the end
we comment on the status of the D-instanton/YM-instanton correspondence within
AdS/CFT correspondence.
| [
{
"created": "Fri, 17 Jul 1998 12:13:59 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 1998 12:20:19 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Aug 1998 15:20:45 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Zabzine",
"Maxim",
"",
"Stockholm University"
]
] | We consider evidence for the existence of gauge configurations with fractional charge in pure N=1 supersymmetric Yang-Mills theory . We argue that these field configurations are singular and have to be treated as distributions. It is shown that the path integral representation of constant Green's functions can be reduced to a finite dimensional integral. The fractional configurations are essentially the zero size limit of the usual instantons and they have a reduced number of fermionic zero modes. At the end we comment on the status of the D-instanton/YM-instanton correspondence within AdS/CFT correspondence. |
1311.1795 | Chiara Toldo | Alessandra Gnecchi, Kiril Hristov, Dietmar Klemm, Chiara Toldo and
Owen Vaughan | Rotating black holes in 4d gauged supergravity | 37 pages, 1 figure | null | 10.1007/JHEP01(2014)127 | ITP-UU-13/28, SPIN-13/19, IFUM-1018-FT | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new results towards the construction of the most general black
hole solutions in four-dimensional Fayet-Iliopoulos gauged supergravities. In
these theories black holes can be asymptotically AdS and have arbitrary mass,
angular momentum, electric and magnetic charges and NUT charge. Furthermore, a
wide range of horizon topologies is allowed (compact and noncompact) and the
complex scalar fields have a nontrivial radial and angular profile. We
construct a large class of solutions in the simplest single scalar model with
prepotential $F = -i X^0 X^1$ and discuss their thermodynamics. Moreover,
various approaches and calculational tools for facing this problem with more
general prepotentials are presented.
| [
{
"created": "Thu, 7 Nov 2013 20:05:31 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Nov 2013 18:38:37 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Gnecchi",
"Alessandra",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Klemm",
"Dietmar",
""
],
[
"Toldo",
"Chiara",
""
],
[
"Vaughan",
"Owen",
""
]
] | We present new results towards the construction of the most general black hole solutions in four-dimensional Fayet-Iliopoulos gauged supergravities. In these theories black holes can be asymptotically AdS and have arbitrary mass, angular momentum, electric and magnetic charges and NUT charge. Furthermore, a wide range of horizon topologies is allowed (compact and noncompact) and the complex scalar fields have a nontrivial radial and angular profile. We construct a large class of solutions in the simplest single scalar model with prepotential $F = -i X^0 X^1$ and discuss their thermodynamics. Moreover, various approaches and calculational tools for facing this problem with more general prepotentials are presented. |
hep-th/9402045 | Paul Fendley | P. Fendley and H. Saleur | Deriving Boundary S Matrices | 13 pages, USC-94-001 | Nucl.Phys. B428 (1994) 681-693 | 10.1016/0550-3213(94)90369-7 | null | hep-th | null | We show how to derive exact boundary $S$ matrices for integrable quantum
field theories in 1+1 dimensions using lattice regularization. We do this
calculation explicitly for the sine-Gordon model with fixed boundary conditions
using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field.
Our results agree with recent conjectures of Ghoshal and Zamolodchikov, and
indicate that the only solutions to the Bethe equations which contribute to the
scaling limit are the standard strings.
| [
{
"created": "Wed, 9 Feb 1994 02:40:42 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Fendley",
"P.",
""
],
[
"Saleur",
"H.",
""
]
] | We show how to derive exact boundary $S$ matrices for integrable quantum field theories in 1+1 dimensions using lattice regularization. We do this calculation explicitly for the sine-Gordon model with fixed boundary conditions using the Bethe ansatz for an XXZ-type spin chain in a boundary magnetic field. Our results agree with recent conjectures of Ghoshal and Zamolodchikov, and indicate that the only solutions to the Bethe equations which contribute to the scaling limit are the standard strings. |
1705.04039 | Robert de Mello Koch | Robert de Mello Koch, Phumudzo Rabambi, Randle Rabe and Sanjaye
Ramgoolam | Free quantum fields in 4D and Calabi-Yau spaces | 6 pages | Phys. Rev. Lett. 119, 161602 (2017) | 10.1103/PhysRevLett.119.161602 | null | hep-th math.CO math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop general counting formulae for primary fields in free four
dimensional (4D) scalar conformal field theory (CFT). Using a duality map
between primary operators in scalar field theory and multi-variable polynomial
functions subject to differential constraints, we identify a sector of
holomorphic primary fields corresponding to polynomial functions on a class of
permutation orbifolds. These orbifolds have palindromic Hilbert series, which
indicates they are Calabi-Yau. We construct the top-dimensional holomorphic
form expected from the Calabi-Yau property. This sector includes and extends
previous constructions of infinite families of primary fields. We sketch the
generalization of these results to free 4D vector and matrix CFTs.
| [
{
"created": "Thu, 11 May 2017 07:11:30 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Koch",
"Robert de Mello",
""
],
[
"Rabambi",
"Phumudzo",
""
],
[
"Rabe",
"Randle",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] | We develop general counting formulae for primary fields in free four dimensional (4D) scalar conformal field theory (CFT). Using a duality map between primary operators in scalar field theory and multi-variable polynomial functions subject to differential constraints, we identify a sector of holomorphic primary fields corresponding to polynomial functions on a class of permutation orbifolds. These orbifolds have palindromic Hilbert series, which indicates they are Calabi-Yau. We construct the top-dimensional holomorphic form expected from the Calabi-Yau property. This sector includes and extends previous constructions of infinite families of primary fields. We sketch the generalization of these results to free 4D vector and matrix CFTs. |
1903.09411 | Chris Blair | Chris D. A. Blair | Orbifolds and Orientifolds as O-folds | 18 pages, contribution to the proceedings of the workshop "Dualities
and Generalized Geometries", Corfu Summer Institute 2018 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider quotients of string and M-theory by discrete subgroups of the
U-duality group. This results in what we call O-folds, which are
generalisations of orbifolds and orientifolds, and generically involve
non-geometric identifications between physical coordinates and dual winding
coordinates. A simple $\mathbb{Z}_2$ quotient encodes the half-maximal duality
web, describing on the same footing the Ho\v{r}ava-Witten description of
M-theory on an interval, the heterotic theories, and type II in the presence of
orientifold planes. This can be analysed using exceptional field theory,
including the introduction of extra vector multiplets at the fixed points. This
is an overview of the paper [1], based on a talk given at the Corfu Summer
Institute 2018.
| [
{
"created": "Fri, 22 Mar 2019 09:14:56 GMT",
"version": "v1"
}
] | 2019-03-25 | [
[
"Blair",
"Chris D. A.",
""
]
] | We consider quotients of string and M-theory by discrete subgroups of the U-duality group. This results in what we call O-folds, which are generalisations of orbifolds and orientifolds, and generically involve non-geometric identifications between physical coordinates and dual winding coordinates. A simple $\mathbb{Z}_2$ quotient encodes the half-maximal duality web, describing on the same footing the Ho\v{r}ava-Witten description of M-theory on an interval, the heterotic theories, and type II in the presence of orientifold planes. This can be analysed using exceptional field theory, including the introduction of extra vector multiplets at the fixed points. This is an overview of the paper [1], based on a talk given at the Corfu Summer Institute 2018. |
hep-th/0006161 | Carlos A. S. Almeida | D. M. Medeiros, R. R. Landim, and C. A. S. Almeida | Nonabelian topological mass mechanism for a three-dimensional 2-form
field | 18 pages, no figures | null | null | null | hep-th | null | Starting from a recently proposed abelian topological model in (2+1)
dimensions, we use the method of the consistent deformations to prove that a
topologically massive model involving the Kalb-Ramond two form field does not
admit a nonabelian generalization. The introduction of a connection-type one
form field keeps the previous result. However we show that the goal is achieved
if we introduce a vectorial auxiliary field, exhibiting a nonabelian
topological mass generation mechanism in D=3, that provides mass for the
Kalb-Ramond field. Further, we find the complete set of BRST and anti-BRST
equations using the horizontality condition, suggesting a connection between
this formalism and the method of the consistent deformations.
| [
{
"created": "Wed, 21 Jun 2000 03:54:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Medeiros",
"D. M.",
""
],
[
"Landim",
"R. R.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | Starting from a recently proposed abelian topological model in (2+1) dimensions, we use the method of the consistent deformations to prove that a topologically massive model involving the Kalb-Ramond two form field does not admit a nonabelian generalization. The introduction of a connection-type one form field keeps the previous result. However we show that the goal is achieved if we introduce a vectorial auxiliary field, exhibiting a nonabelian topological mass generation mechanism in D=3, that provides mass for the Kalb-Ramond field. Further, we find the complete set of BRST and anti-BRST equations using the horizontality condition, suggesting a connection between this formalism and the method of the consistent deformations. |
hep-th/0606230 | Per Kraus | James Hansen and Per Kraus | Generating Charge from Diffeomorphisms | 19 pages. V2: minor changes. V3: added references | JHEP0612:009,2006 | 10.1088/1126-6708/2006/12/009 | null | hep-th | null | We unravel some subtleties involving the definition of sphere angular
momentum charges in AdS_q \times S^p spacetimes, or equivalently, R-symmetry
charges in the dual boundary CFT. In the AdS_3 context, it is known that
charges can be generated by coordinate transformations, even though the
underlying theory is diffeomorphism invariant. This is the bulk version of
spectral flow in the boundary CFT. We trace this behavior back to special
properties of the p-form field strength supporting the solution, and derive the
explicit formulas for angular momentum charges. This analysis also reveals the
higher dimensional origin of three dimensional Chern-Simons terms and of chiral
anomalies in the boundary theory.
| [
{
"created": "Fri, 23 Jun 2006 16:12:17 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2006 16:33:46 GMT",
"version": "v2"
},
{
"created": "Mon, 18 Sep 2006 17:55:29 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Hansen",
"James",
""
],
[
"Kraus",
"Per",
""
]
] | We unravel some subtleties involving the definition of sphere angular momentum charges in AdS_q \times S^p spacetimes, or equivalently, R-symmetry charges in the dual boundary CFT. In the AdS_3 context, it is known that charges can be generated by coordinate transformations, even though the underlying theory is diffeomorphism invariant. This is the bulk version of spectral flow in the boundary CFT. We trace this behavior back to special properties of the p-form field strength supporting the solution, and derive the explicit formulas for angular momentum charges. This analysis also reveals the higher dimensional origin of three dimensional Chern-Simons terms and of chiral anomalies in the boundary theory. |
hep-th/0701006 | Ta-Sheng Tai | Ta-Sheng Tai | Two Polyakov Loop Correlators from D5-branes at Finite Temperature | 12 pages, 2 figures | Prog.Theor.Phys.118:97-107,2007 | 10.1143/PTP.118.97 | UT-06-26 | hep-th | null | We study two Polyakov loop correlators in large $N$ limit of ${\cal{N}}=4$
super Yang-Mills theory at finite temperature using the AdS-Schwarzschild black
hole. In the case that one of the two loops is of the anti-symmetric
representation, we use D5-branes to evaluate them. The phase structure of these
correlators is also examined. A previous result, derived in hep-th/9803135 and
hep-th/9803137, is realized as a limiting case.}
| [
{
"created": "Tue, 2 Jan 2007 10:01:26 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jul 2007 13:27:50 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Tai",
"Ta-Sheng",
""
]
] | We study two Polyakov loop correlators in large $N$ limit of ${\cal{N}}=4$ super Yang-Mills theory at finite temperature using the AdS-Schwarzschild black hole. In the case that one of the two loops is of the anti-symmetric representation, we use D5-branes to evaluate them. The phase structure of these correlators is also examined. A previous result, derived in hep-th/9803135 and hep-th/9803137, is realized as a limiting case.} |
hep-th/9112071 | S. Kalyana Rama | S. Kalyana Rama and Siddhartha Sen | Three Manifolds and Graph Invariants | 12 pages, 14 with figures | null | null | null | hep-th math.QA | null | We show how the Turaev--Viro invariant can be understood within the framework
of Chern--Simons theory with gauge group SU(2). We also describe a new
invariant for certain class of graphs by interpreting the triangulation of a
manifold as a graph consisiting of crossings and vertices with three lines. We
further show, for $S^3$ and $RP^3$, that the Turaev-Viro invariant is the
square of the absolute value of their respective partition functions in SU(2)
Chern--Simons theory and give a method of evaluating the later in a closed form
for lens spaces $L_{p,1}$.
| [
{
"created": "Tue, 24 Dec 1991 05:34:00 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Rama",
"S. Kalyana",
""
],
[
"Sen",
"Siddhartha",
""
]
] | We show how the Turaev--Viro invariant can be understood within the framework of Chern--Simons theory with gauge group SU(2). We also describe a new invariant for certain class of graphs by interpreting the triangulation of a manifold as a graph consisiting of crossings and vertices with three lines. We further show, for $S^3$ and $RP^3$, that the Turaev-Viro invariant is the square of the absolute value of their respective partition functions in SU(2) Chern--Simons theory and give a method of evaluating the later in a closed form for lens spaces $L_{p,1}$. |
1001.2104 | Ilarion Melnikov | Maximilian Kreuzer, Jock McOrist, Ilarion V. Melnikov and M. Ronen
Plesser | (0,2) Deformations of Linear Sigma Models | 35 pages; uses xy-fig; typos fixed, acknowledgments added | null | 10.1007/JHEP07(2011)044 | AEI-2010-003, DAMTP-2010-2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma
model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear
sigma model these correspond to some of the holomorphic deformations of the
tangent bundle on the hypersurface. Combinatorial formulas are given for the
number of these deformations, and we show that these numbers are exchanged by
mirror symmetry in a subclass of the models.
| [
{
"created": "Wed, 13 Jan 2010 09:00:41 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Mar 2010 16:04:46 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Kreuzer",
"Maximilian",
""
],
[
"McOrist",
"Jock",
""
],
[
"Melnikov",
"Ilarion V.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] | We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hypersurface. Combinatorial formulas are given for the number of these deformations, and we show that these numbers are exchanged by mirror symmetry in a subclass of the models. |
1504.00459 | Yoshiki Sato | Daisuke Kawai, Yoshiki Sato, Kentaroh Yoshida | A holographic description of the Schwinger effect in a confining gauge
theory | 36 pages, 9 figures, invited review for IJMPA, v2: typos corrected,
references added | null | 10.1142/S0217751X15300264 | KUNS-2552 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a review of the recent progress on a holographic description of the
Schwinger effect. In 2011, Semenoff and Zarembo proposed a scenario to study
the Schwinger effect in the context of the AdS/CFT correspondence. The
production rate of quark anti-quark pairs was computed in the Coulomb phase. In
particular, it provided the critical value of external electric field, above
which particles are freely created and the vacuum decays catastrophically. Then
the potential analysis in the holographic approach was invented and it enabled
us to study the Schwinger effect in the confining phase as well. A remarkable
feature of the Schwinger effect in the confining phase is to exhibit another
kind of the critical value, below which the pair production cannot occur and
the vacuum of the system is non-perturbatively stable. The critical value is
tantamount to the confining string tension. We computed the pair production
rate numerically and introduced new exponents associated with the critical
electric fields.
| [
{
"created": "Thu, 2 Apr 2015 07:28:11 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2015 08:08:39 GMT",
"version": "v2"
}
] | 2015-04-21 | [
[
"Kawai",
"Daisuke",
""
],
[
"Sato",
"Yoshiki",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | This is a review of the recent progress on a holographic description of the Schwinger effect. In 2011, Semenoff and Zarembo proposed a scenario to study the Schwinger effect in the context of the AdS/CFT correspondence. The production rate of quark anti-quark pairs was computed in the Coulomb phase. In particular, it provided the critical value of external electric field, above which particles are freely created and the vacuum decays catastrophically. Then the potential analysis in the holographic approach was invented and it enabled us to study the Schwinger effect in the confining phase as well. A remarkable feature of the Schwinger effect in the confining phase is to exhibit another kind of the critical value, below which the pair production cannot occur and the vacuum of the system is non-perturbatively stable. The critical value is tantamount to the confining string tension. We computed the pair production rate numerically and introduced new exponents associated with the critical electric fields. |
hep-th/0004199 | Ali Kaya | Ali Kaya | New Brane Solutions from Killing Spinor Equations | 20 pages, Latex, typos corrected, minor changes | Nucl.Phys. B583 (2000) 411-430 | 10.1016/S0550-3213(00)00283-2 | null | hep-th | null | In a recent paper, we have pointed out a relation between the Killing spinor
and Einstein equations. Using this relation, new brane solutions of D=11 and
D=10 type IIB supergravity theories are constructed. It is shown that in a
brane solution, the flat world-volume directions, the smeared transverse
directions and the sphere located at a fixed radial distance can be replaced
with any Lorentzian Ricci flat, Euclidean Ricci flat and Einstein manifolds,
respectively. The solution obtained in this fashion is supersymmetric when the
Ricci flat and Einstein manifolds have Killing spinors. We generalize
intersecting brane solutions, in which M5, M2 and D3-branes also wrap over the
cycles determined by the K\"{a}hler forms of Ricci flat K\"{a}hler manifolds.
New, singular, Ricci flat manifolds as (generalized) cones over the U(1)
bundles over Ricci flat K\"{a}hler spaces are constructed. These manifolds have
covariantly constant spinors and give rise to new, supersymmetric, Ricci flat
compactifications of non-gauged supergravity theories. We find M2 and D3-brane
solutions, which asymptotically approach these singular vacua.
| [
{
"created": "Thu, 27 Apr 2000 20:14:22 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2000 22:53:28 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kaya",
"Ali",
""
]
] | In a recent paper, we have pointed out a relation between the Killing spinor and Einstein equations. Using this relation, new brane solutions of D=11 and D=10 type IIB supergravity theories are constructed. It is shown that in a brane solution, the flat world-volume directions, the smeared transverse directions and the sphere located at a fixed radial distance can be replaced with any Lorentzian Ricci flat, Euclidean Ricci flat and Einstein manifolds, respectively. The solution obtained in this fashion is supersymmetric when the Ricci flat and Einstein manifolds have Killing spinors. We generalize intersecting brane solutions, in which M5, M2 and D3-branes also wrap over the cycles determined by the K\"{a}hler forms of Ricci flat K\"{a}hler manifolds. New, singular, Ricci flat manifolds as (generalized) cones over the U(1) bundles over Ricci flat K\"{a}hler spaces are constructed. These manifolds have covariantly constant spinors and give rise to new, supersymmetric, Ricci flat compactifications of non-gauged supergravity theories. We find M2 and D3-brane solutions, which asymptotically approach these singular vacua. |
0905.3394 | Tianjun Li | Jing Jiang, Tianjun Li, Dimitri V. Nanopoulos, Dan Xie | Flipped SU(5) X U(1)_X Models from F-Theory | RevTex4, 34 pages, 8 figures, 15 tables, version to appear in NPB | null | 10.1016/j.nuclphysb.2009.12.028 | ACT-06-09, MIFP-09-23 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically construct flipped SU(5) X U(1)_X models without and with
bulk vector-like particles from F-theory. To realize the decoupling scenario,
we introduce sets of vector-like particles in complete SU(5) X U(1) multiplets
at the TeV scale, or at the intermediate scale, or at the TeV scale and high
scale. To avoid the Landau pole problem for the gauge couplings, we can only
introduce five sets of vector-like particles around the TeV scale. These
vector-like particles can couple to the Standard Model singlet fields, and
obtain suitable masses by Higgs mechanism. We study gauge coupling unification
in detail. We show that the U(1)_X flux contributions to the gauge couplings
preserve the SU(5) X U(1)_X gauge coupling unification. We calculate the
SU(3)_C X SU(2)_L unification scales, and the SU(5) X U(1)_X unification scales
and unified couplings. In most of our models, the high-scale or bulk
vector-like particles can be considered as string-scale threshold corrections
since their masses are close to the string scale. Futhermore, we discuss the
phenomenological consequences of our models. In particular, in the models with
TeV-scale vector-like particles, the vector-like particles can be observed at
the Large Hadron collider, the proton decay is within the reach of the future
Hyper-Kamiokande experiment, the lightest CP-even Higgs boson mass can be
increased, the hybrid inflation can be naturally realized, and the correct
cosmic primodial density fluctuations can be generated.
| [
{
"created": "Wed, 20 May 2009 20:41:45 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jan 2010 07:21:03 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Jiang",
"Jing",
""
],
[
"Li",
"Tianjun",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
],
[
"Xie",
"Dan",
""
]
] | We systematically construct flipped SU(5) X U(1)_X models without and with bulk vector-like particles from F-theory. To realize the decoupling scenario, we introduce sets of vector-like particles in complete SU(5) X U(1) multiplets at the TeV scale, or at the intermediate scale, or at the TeV scale and high scale. To avoid the Landau pole problem for the gauge couplings, we can only introduce five sets of vector-like particles around the TeV scale. These vector-like particles can couple to the Standard Model singlet fields, and obtain suitable masses by Higgs mechanism. We study gauge coupling unification in detail. We show that the U(1)_X flux contributions to the gauge couplings preserve the SU(5) X U(1)_X gauge coupling unification. We calculate the SU(3)_C X SU(2)_L unification scales, and the SU(5) X U(1)_X unification scales and unified couplings. In most of our models, the high-scale or bulk vector-like particles can be considered as string-scale threshold corrections since their masses are close to the string scale. Futhermore, we discuss the phenomenological consequences of our models. In particular, in the models with TeV-scale vector-like particles, the vector-like particles can be observed at the Large Hadron collider, the proton decay is within the reach of the future Hyper-Kamiokande experiment, the lightest CP-even Higgs boson mass can be increased, the hybrid inflation can be naturally realized, and the correct cosmic primodial density fluctuations can be generated. |
hep-th/0510137 | Dennis Westra | D.B. Westra, W. Chemissany | Coset Symmetries in Dimensionally Reduced Heterotic Supergravity | 24 pages, uses pstricks | JHEP0602:004,2006 | 10.1088/1126-6708/2006/02/004 | UG-05-06 | hep-th | null | We investigate the coset structures which appear in the dimensional reduction
of supergravity theories. Especially we investigate how to recognize the global
symmetry groups if the coset is non-split. As an example we apply our analysis
to the theories emanating from the dimensional reduction of Heterotic
supergravity.
| [
{
"created": "Mon, 17 Oct 2005 16:01:21 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Westra",
"D. B.",
""
],
[
"Chemissany",
"W.",
""
]
] | We investigate the coset structures which appear in the dimensional reduction of supergravity theories. Especially we investigate how to recognize the global symmetry groups if the coset is non-split. As an example we apply our analysis to the theories emanating from the dimensional reduction of Heterotic supergravity. |
2001.03749 | Yuhma Asano | Yuhma Asano, Samuel Kov\'a\v{c}ik and Denjoe O'Connor | The Confining Transition in the Bosonic BMN Matrix Model | 17 pages and 7 figures; v2: typos fixed, references added, minor
editing and comments on double Gaussian approximation | null | 10.1007/JHEP06(2020)174 | DIAS-STP-19-18, KEK-TH-2185 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the confining/deconfining phase transition in the mass deformed
Yang-Mills matrix model which is obtained by the dimensional reduction of the
bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills
theory compactified on the three sphere, i.e. the bosonic BMN model. The $1/D$
(with $D$ the number of matrices) expansion suggests that the model may have
two closely separated transitions. However, using a second order lattice
formulation of the model we find that for the small value of the mass
parameter, $\mu=2$, those two apparent critical temperatures merge at large
$N$, leaving only a single weakly first-order phase transition, in agreement
with recent numerical results for $\mu=0$ (the bosonic BFSS model).
| [
{
"created": "Sat, 11 Jan 2020 13:02:30 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2020 15:34:09 GMT",
"version": "v2"
}
] | 2020-07-15 | [
[
"Asano",
"Yuhma",
""
],
[
"Kováčik",
"Samuel",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory compactified on the three sphere, i.e. the bosonic BMN model. The $1/D$ (with $D$ the number of matrices) expansion suggests that the model may have two closely separated transitions. However, using a second order lattice formulation of the model we find that for the small value of the mass parameter, $\mu=2$, those two apparent critical temperatures merge at large $N$, leaving only a single weakly first-order phase transition, in agreement with recent numerical results for $\mu=0$ (the bosonic BFSS model). |
hep-th/0208202 | Roberto Tateo | Patrick Dorey, Andrew Pocklington and Roberto Tateo | Integrable aspects of the scaling q-state Potts models II: finite-size
effects | 52 pages, many figures. Latex 2e, uses amssymb,graphicx. v2: typos
corrected, references and further comments added | Nucl.Phys. B661 (2003) 464-513 | 10.1016/S0550-3213(03)00182-2 | DCPT-02/53 | hep-th cond-mat math-ph math.MP math.QA | null | We continue our discussion of the q-state Potts models for q <= 4, in the
scaling regimes close to their critical and tricritical points. In a previous
paper, the spectrum and full S-matrix of the models on an infinite line were
elucidated; here, we consider finite-size behaviour. TBA equations are proposed
for all cases related to phi(21) and phi(12) perturbations of unitary minimal
models. These are subjected to a variety of checks in the ultraviolet and
infrared limits, and compared with results from a recently-proposed nonlinear
integral equation. A nonlinear integral equation is also used to study the
flows from tricritical to critical models, over the full range of q. Our
results should also be of relevance to the study of the off-critical dilute A
models in regimes 1 and 2.
| [
{
"created": "Tue, 27 Aug 2002 21:04:40 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Oct 2002 15:28:21 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Dorey",
"Patrick",
""
],
[
"Pocklington",
"Andrew",
""
],
[
"Tateo",
"Roberto",
""
]
] | We continue our discussion of the q-state Potts models for q <= 4, in the scaling regimes close to their critical and tricritical points. In a previous paper, the spectrum and full S-matrix of the models on an infinite line were elucidated; here, we consider finite-size behaviour. TBA equations are proposed for all cases related to phi(21) and phi(12) perturbations of unitary minimal models. These are subjected to a variety of checks in the ultraviolet and infrared limits, and compared with results from a recently-proposed nonlinear integral equation. A nonlinear integral equation is also used to study the flows from tricritical to critical models, over the full range of q. Our results should also be of relevance to the study of the off-critical dilute A models in regimes 1 and 2. |
hep-th/0207175 | Murat Gunaydin | Sudarshan Fernando, Murat Gunaydin and Oleksandr Pavlyk | Spectra of PP-Wave Limits of M-/Superstring Theory on AdS_p x S^q Spaces | Typos corrected; references added; minor modifications to improve
presentation; 37 pages, LaTeX file | JHEP 0210:007,2002 | 10.1088/1126-6708/2002/10/007 | null | hep-th | null | In this paper we show how one can obtain very simply the spectra of the
PP-wave limits of M-theory over AdS_7(4) x S^4(7) spaces and IIB superstring
theory over AdS_5 x S^5 from the oscillator construction of the Kaluza-Klein
spectra of these theories over the corresponding spaces. The PP-wave symmetry
superalgebras are obtained by taking the number P of ``colors'' of oscillators
to be large (infinite). In this large P limit, the symmetry superalgebra
osp(8*|4) of AdS_7 x S^4 and the symmetry superalgebra osp(8|4,R) of AdS_4 x
S^7 lead to isomorphic PP-wave algebras, which is the semi-direct sum of
su(4|2) with H^(18,16), while the symmetry superalgebra su(2,2|4) of AdS_5 x
S^5 leads to the semi-direct sum of [psu(2|2) + psu(2|2) + u(1)] with H^(16,16)
as its PP-wave algebra [H^(m,n) denoting a super-Heisenberg algebra with m
bosonic and n fermionic generators]. The zero mode spectra of M-theory or IIB
superstring theory in the PP-wave limit corresponds simply to the unitary
positive energy representations of these algebras whose lowest weight vector is
the Fock vacuum of all the oscillators. General positive energy supermultiplets
including those corresponding to higher modes can similarly be constructed by
the oscillator method.
| [
{
"created": "Fri, 19 Jul 2002 19:03:59 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 2002 10:26:19 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Fernando",
"Sudarshan",
""
],
[
"Gunaydin",
"Murat",
""
],
[
"Pavlyk",
"Oleksandr",
""
]
] | In this paper we show how one can obtain very simply the spectra of the PP-wave limits of M-theory over AdS_7(4) x S^4(7) spaces and IIB superstring theory over AdS_5 x S^5 from the oscillator construction of the Kaluza-Klein spectra of these theories over the corresponding spaces. The PP-wave symmetry superalgebras are obtained by taking the number P of ``colors'' of oscillators to be large (infinite). In this large P limit, the symmetry superalgebra osp(8*|4) of AdS_7 x S^4 and the symmetry superalgebra osp(8|4,R) of AdS_4 x S^7 lead to isomorphic PP-wave algebras, which is the semi-direct sum of su(4|2) with H^(18,16), while the symmetry superalgebra su(2,2|4) of AdS_5 x S^5 leads to the semi-direct sum of [psu(2|2) + psu(2|2) + u(1)] with H^(16,16) as its PP-wave algebra [H^(m,n) denoting a super-Heisenberg algebra with m bosonic and n fermionic generators]. The zero mode spectra of M-theory or IIB superstring theory in the PP-wave limit corresponds simply to the unitary positive energy representations of these algebras whose lowest weight vector is the Fock vacuum of all the oscillators. General positive energy supermultiplets including those corresponding to higher modes can similarly be constructed by the oscillator method. |
hep-th/0409014 | Stephon H. S. Alexander | Stephon H.S. Alexander, S. James Gates Jr | Can the string scale be related to the cosmic baryon asymmetry? | 12 Pages, typo corrected in the text | JCAP 0606 (2006) 018 | 10.1088/1475-7516/2006/06/018 | null | hep-th | null | In a previous work, a mechanism was presented by which baryon asymmetry can
be generated during inflation from elliptically polarized gravitons.
Nonetheless, the mechanism only generated a realistic baryon asymmetry under
special circumstances which requires an enhancement of the lepton number from
an unspecified GUT. In this note we provide a stringy embedding of this
mechanism through the Green-Schwarz mechanism, demonstrating that if the
model-independent axion is the source of the gravitational waves responsible
for the lepton asymmetry, one can observationally constrain the string scale
and coupling.
| [
{
"created": "Wed, 1 Sep 2004 20:31:08 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Sep 2005 23:40:45 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Alexander",
"Stephon H. S.",
""
],
[
"Gates",
"S. James",
"Jr"
]
] | In a previous work, a mechanism was presented by which baryon asymmetry can be generated during inflation from elliptically polarized gravitons. Nonetheless, the mechanism only generated a realistic baryon asymmetry under special circumstances which requires an enhancement of the lepton number from an unspecified GUT. In this note we provide a stringy embedding of this mechanism through the Green-Schwarz mechanism, demonstrating that if the model-independent axion is the source of the gravitational waves responsible for the lepton asymmetry, one can observationally constrain the string scale and coupling. |
1002.4251 | Edi Halyo | Edi Halyo | Metastable Supersymmetry Breaking and Minimal Gauge Mediation on Branes | 19 pages, references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a model with D5 branes wrapped on a deformed and resolved $A_6$
singularity which realizes metastable supersymmetry breaking and minimal gauge
mediation. Supersymmetry is broken at tree level by the F--term of singlet
which also obtains a VEV as required in gauge mediation. Three nodes of the
singularity are used to break supersymmetry whereas the other three realize
gauge mediation. The supersymmetry breaking scale is suppressed due to brane
instanton effects which are computed using a geometric transition.
| [
{
"created": "Tue, 23 Feb 2010 06:29:57 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Mar 2010 17:31:33 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jan 2011 18:36:51 GMT",
"version": "v3"
}
] | 2011-01-28 | [
[
"Halyo",
"Edi",
""
]
] | We construct a model with D5 branes wrapped on a deformed and resolved $A_6$ singularity which realizes metastable supersymmetry breaking and minimal gauge mediation. Supersymmetry is broken at tree level by the F--term of singlet which also obtains a VEV as required in gauge mediation. Three nodes of the singularity are used to break supersymmetry whereas the other three realize gauge mediation. The supersymmetry breaking scale is suppressed due to brane instanton effects which are computed using a geometric transition. |
1706.04738 | Seiji Sakoda | Seiji Sakoda | On the effective potential of Duru-Kleinert path integrals | null | null | 10.1063/1.4989986 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new method to evaluate the effective potential in the path
integral for the fixed-energy amplitude as well as for the pseudotime evolution
kernel in the formalism by Duru and Kleinert. Restriction to the postpoint or
the prepoint prescriptions in formulating time sliced path integrals is avoided
by leaving off the use of expectation values for correction terms. This enables
us to consider an arbitrary ordering prescription and to examine the ordering
dependence of the effective potential. To investigate parameter dependences, we
introduce the ordering parameter $\alpha$ in addition to the splitting
parameter $\lambda$ in the formulation of the time sliced path integral. The
resulting path integrals are found to be independent of the ordering parameter
although the explicit dependence, given by a contribution proportional to
$(1-2\lambda)^{2}$, on the splitting parameter remains. As an application, we
check the relationship between path integrals for the radial oscillator and the
radial Coulomb system in arbitrary dimensions.
| [
{
"created": "Thu, 15 Jun 2017 05:02:32 GMT",
"version": "v1"
}
] | 2017-08-02 | [
[
"Sakoda",
"Seiji",
""
]
] | We propose a new method to evaluate the effective potential in the path integral for the fixed-energy amplitude as well as for the pseudotime evolution kernel in the formalism by Duru and Kleinert. Restriction to the postpoint or the prepoint prescriptions in formulating time sliced path integrals is avoided by leaving off the use of expectation values for correction terms. This enables us to consider an arbitrary ordering prescription and to examine the ordering dependence of the effective potential. To investigate parameter dependences, we introduce the ordering parameter $\alpha$ in addition to the splitting parameter $\lambda$ in the formulation of the time sliced path integral. The resulting path integrals are found to be independent of the ordering parameter although the explicit dependence, given by a contribution proportional to $(1-2\lambda)^{2}$, on the splitting parameter remains. As an application, we check the relationship between path integrals for the radial oscillator and the radial Coulomb system in arbitrary dimensions. |
2301.07478 | Kirill Bazarov | D. V. Diakonov, K. V. Bazarov | Thermal loops in the accelerating frame | 26 pages | null | null | null | hep-th cond-mat.other gr-qc | http://creativecommons.org/licenses/by/4.0/ | We consider the conformal scalar field theory with $\lambda \phi^4$
self-interaction in Rindler and Minkowskian coordinates at finite temperature
planckian distribution for the exact modes. The solution of the one-loop
Dyson-Schwinger equation is found to the order in $\lambda^{3/2}$. Appearance
of the thermal (Debye) mass is shown. Unlike the physical mass, the thermal one
gives a gap in the energy spectrum in the quantization in the Rindler
coordinates. The difference between such calculations in Minkowski and Rindler
coordinates for the exact modes is discussed. It is also shown that states with
a temperature lower than the Unruh one are unstable. It is proved that for the
canonical Unruh temperature the thermal mass is equal to zero. The contribution
to the quantum average of the stress-energy tensor is also calculated, it
remains traceless even in the presence of the thermal mass.
| [
{
"created": "Wed, 18 Jan 2023 12:44:42 GMT",
"version": "v1"
}
] | 2023-01-19 | [
[
"Diakonov",
"D. V.",
""
],
[
"Bazarov",
"K. V.",
""
]
] | We consider the conformal scalar field theory with $\lambda \phi^4$ self-interaction in Rindler and Minkowskian coordinates at finite temperature planckian distribution for the exact modes. The solution of the one-loop Dyson-Schwinger equation is found to the order in $\lambda^{3/2}$. Appearance of the thermal (Debye) mass is shown. Unlike the physical mass, the thermal one gives a gap in the energy spectrum in the quantization in the Rindler coordinates. The difference between such calculations in Minkowski and Rindler coordinates for the exact modes is discussed. It is also shown that states with a temperature lower than the Unruh one are unstable. It is proved that for the canonical Unruh temperature the thermal mass is equal to zero. The contribution to the quantum average of the stress-energy tensor is also calculated, it remains traceless even in the presence of the thermal mass. |
1103.3452 | Michal Heller | Michal P. Heller, Romuald A. Janik, Przemyslaw Witaszczyk | The characteristics of thermalization of boost-invariant plasma from
holography | 4 pages, 5 figures; see also the companion article arXiv:1203.0755;
v2: figure corrected (fixes problem with Acrobat); v3: various clarifications
and additional data points added; v4: typo fixed, published | Phys. Rev. Lett. 108, 201602 (2012) | 10.1103/PhysRevLett.108.201602 | null | hep-th gr-qc hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on the approach towards the hydrodynamic regime of boost-invariant
N=4 super Yang-Mills plasma at strong coupling starting from various
far-from-equilibrium states at tau=0. The results are obtained through
numerical solution of Einstein's equations for the dual geometries, as
described in detail in the companion article arXiv:1203.0755. Despite the very
rich far-from-equilibrium evolution, we find surprising regularities in the
form of clear correlations between initial entropy and total produced entropy,
as well as between initial entropy and the temperature at thermalization,
understood as the transition to a hydrodynamic description. For 29 different
initial conditions that we consider, hydrodynamics turns out to be definitely
applicable for proper times larger than 0.7 in units of inverse temperature at
thermalization. We observe a sizable anisotropy in the energy-momentum tensor
at thermalization, which is nevertheless entirely due to hydrodynamic effects.
This suggests that effective thermalization in heavy ion collisions may occur
significantly earlier than true thermalization.
| [
{
"created": "Thu, 17 Mar 2011 16:25:06 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2011 10:31:46 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Mar 2012 13:49:07 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Jun 2012 08:38:47 GMT",
"version": "v4"
}
] | 2012-06-13 | [
[
"Heller",
"Michal P.",
""
],
[
"Janik",
"Romuald A.",
""
],
[
"Witaszczyk",
"Przemyslaw",
""
]
] | We report on the approach towards the hydrodynamic regime of boost-invariant N=4 super Yang-Mills plasma at strong coupling starting from various far-from-equilibrium states at tau=0. The results are obtained through numerical solution of Einstein's equations for the dual geometries, as described in detail in the companion article arXiv:1203.0755. Despite the very rich far-from-equilibrium evolution, we find surprising regularities in the form of clear correlations between initial entropy and total produced entropy, as well as between initial entropy and the temperature at thermalization, understood as the transition to a hydrodynamic description. For 29 different initial conditions that we consider, hydrodynamics turns out to be definitely applicable for proper times larger than 0.7 in units of inverse temperature at thermalization. We observe a sizable anisotropy in the energy-momentum tensor at thermalization, which is nevertheless entirely due to hydrodynamic effects. This suggests that effective thermalization in heavy ion collisions may occur significantly earlier than true thermalization. |
1202.2590 | Yue-Liang Wu | Zhuo-Peng Huang, Yue-Liang Wu | Holographic Dark Energy Model Characterized by the Conformal-age-like
Length | 9 pages, typos corrected, published version | null | 10.1142/S0217751X12500856 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A holographic dark energy model characterized by the conformal-age-like
length scale $L= \frac{1}{a^4(t)}\int_0^tdt' a^3(t') $ is motivated from the
four dimensional spacetime volume at cosmic time $t$ in the flat
Friedmann-Robertson-Walker universe. It is shown that when the background
constituent with constant equation of state $w_m$ dominates the universe in the
early time, the fractional energy density of the dark energy scales as
$\Omega_{de}\simeq \frac94(3+w_m)^2d^2a^2$ with the equation of state given by
$w_{de}\simeq-\frac23 +w_m$. The value of $w_m$ is taken to be $w_m\simeq-1$
during inflation, $w_m=\frac13$ in radiation-dominated epoch and $w_m=0$ in
matter-dominated epoch respectively. When the model parameter $d$ takes the
normal value at order one, the fractional density of dark energy is naturally
negligible in the early universe, $\Omega_{de} \ll 1$ at $a \ll 1$. With such
an analytic feature, the model can be regarded as a single-parameter model like
the $\Lambda$CDM model, so that the present fractional energy density
$\Omega_{de}(a=1)$ can solely be determined by solving the differential
equation of $\Omega_{de}$ once $d$ is given. We further extend the model to the
general case in which both matter and radiation are present. The scenario
involving possible interaction between the dark energy and the background
constituent is also discussed.
| [
{
"created": "Mon, 13 Feb 2012 00:04:36 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2012 14:02:28 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Huang",
"Zhuo-Peng",
""
],
[
"Wu",
"Yue-Liang",
""
]
] | A holographic dark energy model characterized by the conformal-age-like length scale $L= \frac{1}{a^4(t)}\int_0^tdt' a^3(t') $ is motivated from the four dimensional spacetime volume at cosmic time $t$ in the flat Friedmann-Robertson-Walker universe. It is shown that when the background constituent with constant equation of state $w_m$ dominates the universe in the early time, the fractional energy density of the dark energy scales as $\Omega_{de}\simeq \frac94(3+w_m)^2d^2a^2$ with the equation of state given by $w_{de}\simeq-\frac23 +w_m$. The value of $w_m$ is taken to be $w_m\simeq-1$ during inflation, $w_m=\frac13$ in radiation-dominated epoch and $w_m=0$ in matter-dominated epoch respectively. When the model parameter $d$ takes the normal value at order one, the fractional density of dark energy is naturally negligible in the early universe, $\Omega_{de} \ll 1$ at $a \ll 1$. With such an analytic feature, the model can be regarded as a single-parameter model like the $\Lambda$CDM model, so that the present fractional energy density $\Omega_{de}(a=1)$ can solely be determined by solving the differential equation of $\Omega_{de}$ once $d$ is given. We further extend the model to the general case in which both matter and radiation are present. The scenario involving possible interaction between the dark energy and the background constituent is also discussed. |
2403.16166 | Tarek Anous | Dionysios Anninos, Tarek Anous, and Alan Rios Fukelman | de Sitter at all loops: the story of the Schwinger model | 28 pages + (29 pages of appendices), 2 figures; v2 notation improved,
references added, typos fixed, calculations streamlined; v3 further
clarifications added and some minor typos fixed. Additionally an important
typo was corrected in section 4.2 ensuring an SO(3) invariant final answer | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider the two-dimensional Schwinger model of a massless charged fermion
coupled to an Abelian gauge field on a fixed de Sitter background. The theory
admits an exact solution, first examined by Jayewardena, and can be analyzed
efficiently using Euclidean methods. We calculate fully non-perturbative,
gauge-invariant correlation functions of the electric field as well as the
fermion and analyze these correlators in the late-time limit. We compare these
results with the perturbative picture, for example by verifying that the
one-loop contribution to the fermion two-point function, as predicted from the
exact solution, matches the direct computation of the one-loop Feynman diagram.
We demonstrate many features endemic of quantum field theory in de Sitter
space, including the appearance of late-time logarithms, their resummation to
de Sitter invariant expressions, and Boltzmann suppressed non-perturbative
phenomena, with surprising late-time features.
| [
{
"created": "Sun, 24 Mar 2024 14:20:19 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2024 11:48:32 GMT",
"version": "v2"
},
{
"created": "Wed, 1 May 2024 10:39:39 GMT",
"version": "v3"
}
] | 2024-05-02 | [
[
"Anninos",
"Dionysios",
""
],
[
"Anous",
"Tarek",
""
],
[
"Fukelman",
"Alan Rios",
""
]
] | We consider the two-dimensional Schwinger model of a massless charged fermion coupled to an Abelian gauge field on a fixed de Sitter background. The theory admits an exact solution, first examined by Jayewardena, and can be analyzed efficiently using Euclidean methods. We calculate fully non-perturbative, gauge-invariant correlation functions of the electric field as well as the fermion and analyze these correlators in the late-time limit. We compare these results with the perturbative picture, for example by verifying that the one-loop contribution to the fermion two-point function, as predicted from the exact solution, matches the direct computation of the one-loop Feynman diagram. We demonstrate many features endemic of quantum field theory in de Sitter space, including the appearance of late-time logarithms, their resummation to de Sitter invariant expressions, and Boltzmann suppressed non-perturbative phenomena, with surprising late-time features. |
hep-th/0303086 | Chi-Wei Herbert Lee | C.-W. H. Lee | Noncommutative probability, matrix models, and quantum orbifold geometry | 22 pages, 8 eps figures, LaTeX2.09; title changed, mistakes corrected | JHEP 0306 (2003) 044 | 10.1088/1126-6708/2003/06/044 | null | hep-th gr-qc math-ph math.MP math.OA | null | Inspired by the intimate relationship between Voiculescu's noncommutative
probability theory (of type A) and large-N matrix models in physics, we look
for physical models related to noncommutative probability theory of type B.
These turn out to be fermionic matrix-vector models at the double large-N
limit. In the context of string theory, they describe different orbifolded
string worldsheets with boundaries. Their critical exponents coincide with that
of ordinary string worldsheets, but their renormalised tree-level one-boundary
amplitudes differ.
| [
{
"created": "Mon, 10 Mar 2003 20:25:01 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2003 17:59:29 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Lee",
"C. -W. H.",
""
]
] | Inspired by the intimate relationship between Voiculescu's noncommutative probability theory (of type A) and large-N matrix models in physics, we look for physical models related to noncommutative probability theory of type B. These turn out to be fermionic matrix-vector models at the double large-N limit. In the context of string theory, they describe different orbifolded string worldsheets with boundaries. Their critical exponents coincide with that of ordinary string worldsheets, but their renormalised tree-level one-boundary amplitudes differ. |
hep-th/9705137 | Loriano Bonora | L. Bonora and C.S. Chu | On the string interpretation of M(atrix) theory | 13 pages, Latex, more comments | Phys.Lett. B410 (1997) 142-150 | 10.1016/S0370-2693(97)00948-9 | SISSA 68/97/EP/FM | hep-th | null | It has been proposed recently that, in the framework of M(atrix) theory, N=8
supersymmetric U(N) Yang-Mills theory in 1+1 dimensions gives rise to type IIA
long string configurations. We point out that the quantum moduli space of
$SYM_{1+1}$ gives rise to two quantum numbers, which fit very well into the
M(atrix) theory. The two quantum numbers become familiar if one switches to a
IIB picture, where they represent configurations of D-strings and fundamental
strings. We argue that, due to the SL(2,Z) symmetry, of the IIB theory, such
quantum numbers must represent configurations that are present also in the IIA
framework.
| [
{
"created": "Mon, 19 May 1997 18:24:31 GMT",
"version": "v1"
},
{
"created": "Wed, 21 May 1997 13:00:19 GMT",
"version": "v2"
},
{
"created": "Wed, 28 May 1997 15:48:27 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Bonora",
"L.",
""
],
[
"Chu",
"C. S.",
""
]
] | It has been proposed recently that, in the framework of M(atrix) theory, N=8 supersymmetric U(N) Yang-Mills theory in 1+1 dimensions gives rise to type IIA long string configurations. We point out that the quantum moduli space of $SYM_{1+1}$ gives rise to two quantum numbers, which fit very well into the M(atrix) theory. The two quantum numbers become familiar if one switches to a IIB picture, where they represent configurations of D-strings and fundamental strings. We argue that, due to the SL(2,Z) symmetry, of the IIB theory, such quantum numbers must represent configurations that are present also in the IIA framework. |
hep-th/0304157 | Konishi | K. Konishi (Univ. of Pisa) | Who Confines Quarks? - On Non-Abelian Monopoles and Dynamics of
Confinement | Latex 19 pages, 8 eps figures, uses ws-procs9x6.cls, Talk at SCGT
(Nagoya, Nov. 2002) and at Institute of Physics Meeting (London, Feb. 2003) | null | 10.1142/9789812795120_0003 | null | hep-th | null | The role non-Abelian magnetic monopoles play in the dynamics of confinement
is discussed by examining carefully a class of supersymmetric gauge theories as
theoretical laboratories. In particular, in the so-called $r$-vacua of softly
broken ${N}=2$ supersymmmetric $SU(n_c)$ QCD, the Goddard-Olive-Nuyts-Weinberg
monopoles appear as the dominant low-energy effective degrees of freedom. Even
more interesting is the physics of confining vacua which are deformations of
nontrivial superconformal theories. We argue that in such cases, occurring in
the $r= {n_f \over 2}$ vacua of $SU(n_c)$ theories or in all of confining vacua
of $USp(2n_c)$ or $SO(n_f)$ theories with massless flavors, a new mechanism of
confinement involving strongly interacting non-Abelian magnetic monopoles is at
work.
| [
{
"created": "Thu, 17 Apr 2003 15:15:13 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Konishi",
"K.",
"",
"Univ. of Pisa"
]
] | The role non-Abelian magnetic monopoles play in the dynamics of confinement is discussed by examining carefully a class of supersymmetric gauge theories as theoretical laboratories. In particular, in the so-called $r$-vacua of softly broken ${N}=2$ supersymmmetric $SU(n_c)$ QCD, the Goddard-Olive-Nuyts-Weinberg monopoles appear as the dominant low-energy effective degrees of freedom. Even more interesting is the physics of confining vacua which are deformations of nontrivial superconformal theories. We argue that in such cases, occurring in the $r= {n_f \over 2}$ vacua of $SU(n_c)$ theories or in all of confining vacua of $USp(2n_c)$ or $SO(n_f)$ theories with massless flavors, a new mechanism of confinement involving strongly interacting non-Abelian magnetic monopoles is at work. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.