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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2209.15456 | Stefan Forste | Ruben Campos Delgado and Stefan Forste | Lyapunov exponents in $\mathbf{{\cal N}=2}$ supersymmetric
Jackiw-Teitelboim gravity | 13 pages, v2: reference added | null | 10.1016/j.physletb.2022.137550 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim (JT) gravity at
finite temperature coupled to matter. The matter fields are related to
superconformal primaries by AdS/CFT duality. Due to broken super
reparametrisation invariance in the SCFT dual, there are corrections to
superconformal correlators. These are generated by the exchange of
super-Schwarzian modes which is dual to the exchange of 2D supergravity modes.
We compute corrections to four-point functions for superconformal primaries and
analyse the behaviour of out-of-time-ordered correlators. In particular,
four-point functions of two pairs of primaries with mutually vanishing
two-point functions are considered. By decomposing the corresponding
supermultiplet into its components, we find different Lyapunov exponents. The
value of the Lyapunov exponents depends on whether the correction is due to
graviton, gravitini or graviphoton exchange. If mutual two-point functions do
not vanish all components grow with maximal Lyapunov exponent.
| [
{
"created": "Fri, 30 Sep 2022 13:07:02 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Oct 2022 12:38:46 GMT",
"version": "v2"
}
] | 2022-11-09 | [
[
"Delgado",
"Ruben Campos",
""
],
[
"Forste",
"Stefan",
""
]
] | We study $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance in the SCFT dual, there are corrections to superconformal correlators. These are generated by the exchange of super-Schwarzian modes which is dual to the exchange of 2D supergravity modes. We compute corrections to four-point functions for superconformal primaries and analyse the behaviour of out-of-time-ordered correlators. In particular, four-point functions of two pairs of primaries with mutually vanishing two-point functions are considered. By decomposing the corresponding supermultiplet into its components, we find different Lyapunov exponents. The value of the Lyapunov exponents depends on whether the correction is due to graviton, gravitini or graviphoton exchange. If mutual two-point functions do not vanish all components grow with maximal Lyapunov exponent. |
1210.4123 | Julio Oliva | Julio Oliva | All the solutions of the form M2(warped)x\Sigma(d-2) for Lovelock
gravity in vacuum in the Chern-Simons case | 15 pages, no figures | null | 10.1063/1.4795258 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we classify a certain family of solutions of Lovelock gravity in
the Chern-Simons (CS) case, in arbitrary (odd) dimension greater than four. The
spacetime is characterized by admitting a metric that is a warped product of a
two-dimensional spacetime M2 and an (a priori) arbitrary Euclidean base
manifold Sigma(d-2) of dimension d-2. We show that the solutions are naturally
classified in terms of the equations that restrict the base manifold. According
to the strength of such constraints we found the following branches in which
Sigma(d-2) has to fulfill: a Lovelock equation with a single vacuum (Euclidean
Lovelock Chern-Simons in dimension d-2), a single scalar equation that is the
trace of an Euclidean Lovelock CS equation in dimension d-2, or finally a
degenerate case in which the base manifold is not restricted at all. We show
that all the cases have some degeneracy in the sense that the metric functions
are not completely fixed by the field equations. This result extends the static
five-dimensional case previously discussed in Phys.Rev. D76 (2007) 064038, and
it shows that in the CS case, the inclusion of higher powers in the curvature
does not introduce new branches of solutions in Lovelock gravity. Finally we
comment on how the inclusion of a non-vanishing torsion and matter fields may
modify this analysis.
| [
{
"created": "Mon, 15 Oct 2012 17:51:08 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Oliva",
"Julio",
""
]
] | In this note we classify a certain family of solutions of Lovelock gravity in the Chern-Simons (CS) case, in arbitrary (odd) dimension greater than four. The spacetime is characterized by admitting a metric that is a warped product of a two-dimensional spacetime M2 and an (a priori) arbitrary Euclidean base manifold Sigma(d-2) of dimension d-2. We show that the solutions are naturally classified in terms of the equations that restrict the base manifold. According to the strength of such constraints we found the following branches in which Sigma(d-2) has to fulfill: a Lovelock equation with a single vacuum (Euclidean Lovelock Chern-Simons in dimension d-2), a single scalar equation that is the trace of an Euclidean Lovelock CS equation in dimension d-2, or finally a degenerate case in which the base manifold is not restricted at all. We show that all the cases have some degeneracy in the sense that the metric functions are not completely fixed by the field equations. This result extends the static five-dimensional case previously discussed in Phys.Rev. D76 (2007) 064038, and it shows that in the CS case, the inclusion of higher powers in the curvature does not introduce new branches of solutions in Lovelock gravity. Finally we comment on how the inclusion of a non-vanishing torsion and matter fields may modify this analysis. |
0812.0884 | Claudio Scrucca | Marta Gomez-Reino, Jan Louis, Claudio A. Scrucca | No metastable de Sitter vacua in N=2 supergravity with only
hypermultiplets | 26 pages, Latex, no figures | JHEP 0902:003,2009 | 10.1088/1126-6708/2009/02/003 | CERN-PH-TH/2008-215, ZMP-HH/08-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stability of vacua with spontaneously broken supersymmetry in
N=2 supergravity theories with only hypermultiplets. Focusing on the projection
of the scalar mass matrix along the sGoldstino directions, we are able to
derive a universal upper bound on the lowest mass eigenvalue. This bound only
depends on the gravitino mass and the cosmological constant, but not on the
details of the quaternionic manifold spanned by the scalar fields. Comparing
with the Breitenlohner-Freedman bound shows that metastability requires the
cosmological constant to be smaller than a certain negative critical value.
Therefore, only AdS vacua with a sufficiently negative cosmological constant
can be stable, while Minkowski and dS vacua necessarily have a tachyonic
direction.
| [
{
"created": "Thu, 4 Dec 2008 09:16:50 GMT",
"version": "v1"
}
] | 2009-02-18 | [
[
"Gomez-Reino",
"Marta",
""
],
[
"Louis",
"Jan",
""
],
[
"Scrucca",
"Claudio A.",
""
]
] | We study the stability of vacua with spontaneously broken supersymmetry in N=2 supergravity theories with only hypermultiplets. Focusing on the projection of the scalar mass matrix along the sGoldstino directions, we are able to derive a universal upper bound on the lowest mass eigenvalue. This bound only depends on the gravitino mass and the cosmological constant, but not on the details of the quaternionic manifold spanned by the scalar fields. Comparing with the Breitenlohner-Freedman bound shows that metastability requires the cosmological constant to be smaller than a certain negative critical value. Therefore, only AdS vacua with a sufficiently negative cosmological constant can be stable, while Minkowski and dS vacua necessarily have a tachyonic direction. |
2106.09728 | Timothy Cohen | Timothy Cohen, Daniel Green, Akhil Premkumar, and Alexander Ridgway | Stochastic Inflation at NNLO | 50 pages + appendices; v2: minor changes, journal version | null | 10.1007/JHEP09(2021)159 | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Stochastic Inflation is an important framework for understanding the physics
of de Sitter space and the phenomenology of inflation. In the leading
approximation, this approach results in a Fokker-Planck equation that
calculates the probability distribution for a light scalar field as a function
of time. Despite its successes, the quantum field theoretic origins and the
range of validity for this equation have remained elusive, and establishing a
formalism to systematically incorporate higher order effects has been an area
of active study. In this paper, we calculate the next-to-next-to-leading order
(NNLO) corrections to Stochastic Inflation using Soft de Sitter Effective
Theory (SdSET). In this effective description, Stochastic Inflation manifests
as the renormalization group evolution of composite operators. The leading
impact of non-Gaussian quantum fluctuations appears at NNLO, which is presented
here for the first time; we derive the coefficient of this term from a two-loop
anomalous dimension calculation within SdSET. We solve the resulting equation
to determine the NNLO equilibrium distribution and the low-lying relaxation
eigenvalues. In the process, we must match the UV theory onto SdSET at one-loop
order, which provides a non-trivial confirmation that the separation into
Wilson-coefficient corrections and contributions to initial conditions persists
beyond tree level. Furthermore, these results illustrate how the naive
factorization of time and momentum integrals in SdSET no longer holds in the
presence of logarithmic divergences. It is these effects that ultimately give
rise to the renormalization group flow that yields Stochastic Inflation.
| [
{
"created": "Thu, 17 Jun 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Sep 2021 16:14:14 GMT",
"version": "v2"
}
] | 2021-10-13 | [
[
"Cohen",
"Timothy",
""
],
[
"Green",
"Daniel",
""
],
[
"Premkumar",
"Akhil",
""
],
[
"Ridgway",
"Alexander",
""
]
] | Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the probability distribution for a light scalar field as a function of time. Despite its successes, the quantum field theoretic origins and the range of validity for this equation have remained elusive, and establishing a formalism to systematically incorporate higher order effects has been an area of active study. In this paper, we calculate the next-to-next-to-leading order (NNLO) corrections to Stochastic Inflation using Soft de Sitter Effective Theory (SdSET). In this effective description, Stochastic Inflation manifests as the renormalization group evolution of composite operators. The leading impact of non-Gaussian quantum fluctuations appears at NNLO, which is presented here for the first time; we derive the coefficient of this term from a two-loop anomalous dimension calculation within SdSET. We solve the resulting equation to determine the NNLO equilibrium distribution and the low-lying relaxation eigenvalues. In the process, we must match the UV theory onto SdSET at one-loop order, which provides a non-trivial confirmation that the separation into Wilson-coefficient corrections and contributions to initial conditions persists beyond tree level. Furthermore, these results illustrate how the naive factorization of time and momentum integrals in SdSET no longer holds in the presence of logarithmic divergences. It is these effects that ultimately give rise to the renormalization group flow that yields Stochastic Inflation. |
1907.08508 | Georgios Pastras | Dimitrios Katsinis and Georgios Pastras | An Inverse Mass Expansion for the Mutual Information in Free Scalar QFT
at Finite Temperature | 66 pages (41 pages main text & 25 pages appendix), 7 figures | JHEP 02 (2020) 091 | 10.1007/JHEP02(2020)091 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the entanglement entropy and the mutual information in coupled
harmonic systems at finite temperature. Interestingly, we find that the mutual
information does not vanish at infinite temperature, but it rather reaches a
specific finite value, which can be attributed to classical correlations
solely. We further obtain high and low temperature expansions for both
quantities. Then, we extend the analysis performed in the seminal paper by
Srednicki (Phys. Rev. Lett. 71, 666 (1993)) for free real scalar field theories
in Minkowski space-time in 3+1 dimensions at a thermal state. We find that the
mutual information obeys an area law, similar to that obeyed by the
entanglement entropy at vanishing temperature. The coefficient of this area law
does not vanish at infinite temperature. Then, we calculate this coefficient
perturbatively in an $1/\mu$ expansion, where $\mu$ is the mass of the scalar
field. Finally, we study the high and low temperature behaviour of the area law
term.
| [
{
"created": "Fri, 19 Jul 2019 13:35:13 GMT",
"version": "v1"
}
] | 2020-04-20 | [
[
"Katsinis",
"Dimitrios",
""
],
[
"Pastras",
"Georgios",
""
]
] | We study the entanglement entropy and the mutual information in coupled harmonic systems at finite temperature. Interestingly, we find that the mutual information does not vanish at infinite temperature, but it rather reaches a specific finite value, which can be attributed to classical correlations solely. We further obtain high and low temperature expansions for both quantities. Then, we extend the analysis performed in the seminal paper by Srednicki (Phys. Rev. Lett. 71, 666 (1993)) for free real scalar field theories in Minkowski space-time in 3+1 dimensions at a thermal state. We find that the mutual information obeys an area law, similar to that obeyed by the entanglement entropy at vanishing temperature. The coefficient of this area law does not vanish at infinite temperature. Then, we calculate this coefficient perturbatively in an $1/\mu$ expansion, where $\mu$ is the mass of the scalar field. Finally, we study the high and low temperature behaviour of the area law term. |
hep-th/0002043 | Sergei V. Shabanov | Sergei V. Shabanov | Geometry of the physical phase space in quantum gauge models | A review (Phys. Rep.), 170 pages, 9 figures, plain Latex | Phys.Rept. 326 (2000) 1-163 | 10.1016/S0370-1573(99)00085-X | null | hep-th math-ph math.MP quant-ph | null | The physical phase space in gauge systems is studied. Effects caused by a
non-Euclidean geometry of the physical phase space in quantum gauge models are
described in the operator and path integral formalisms. The projection on the
Dirac gauge invariant states is used to derive a necessary modification of the
Hamiltonian path integral in gauge theories of the Yang-Mills type with
fermions that takes into account the non-Euclidean geometry of the physical
phase space. The new path integral is applied to resolve the Gribov
obstruction. Applications to the Kogut-Susskind lattice gauge theory are given.
The basic ideas are illustrated with examples accessible for non-specialists.
| [
{
"created": "Sat, 5 Feb 2000 21:47:40 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Shabanov",
"Sergei V.",
""
]
] | The physical phase space in gauge systems is studied. Effects caused by a non-Euclidean geometry of the physical phase space in quantum gauge models are described in the operator and path integral formalisms. The projection on the Dirac gauge invariant states is used to derive a necessary modification of the Hamiltonian path integral in gauge theories of the Yang-Mills type with fermions that takes into account the non-Euclidean geometry of the physical phase space. The new path integral is applied to resolve the Gribov obstruction. Applications to the Kogut-Susskind lattice gauge theory are given. The basic ideas are illustrated with examples accessible for non-specialists. |
hep-th/0201200 | Miguel Angel Gonzalez Leon | A. Alonso Izquierdo, M.A. Gonzalez Leon and J. Mateos Guilarte | The Kink variety in systems of two coupled scalar fields in two
space-time dimensions | 12 pages, 5 figures. To appear in Phys. Rev. D | Phys.Rev. D65 (2002) 085012 | null | null | hep-th | null | In this paper we describe the moduli space of kinks in a class of systems of
two coupled real scalar fields in (1+1) Minkowskian space-time. The main
feature of the class is the spontaneous breaking of a discrete symmetry of
(real) Ginzburg-Landau type that guarantees the existence of kink topological
defects.
| [
{
"created": "Fri, 25 Jan 2002 16:40:16 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Izquierdo",
"A. Alonso",
""
],
[
"Leon",
"M. A. Gonzalez",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] | In this paper we describe the moduli space of kinks in a class of systems of two coupled real scalar fields in (1+1) Minkowskian space-time. The main feature of the class is the spontaneous breaking of a discrete symmetry of (real) Ginzburg-Landau type that guarantees the existence of kink topological defects. |
2209.07721 | Chanyong Park | Chanyong Park | Holographic two-point functions in a disorder system | 18 pages, 2 figures | null | 10.1016/j.physletb.2023.137978 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic dual of two-point correlation functions for
nonconformal field theories. We first take into account a Lifshitz geometry as
the dual of a Lifshitz field theory which may appear at a critical or IR fixed
point. We explicitly show the holographic relation between a Lifshitz geometry
and a Lifshitz field theory by calculating two-point correlators and equation
of state parameter on both sides. We also investigate a disorder deformation,
which allows a UV conformal field theory to flow into a new IR Lifshitz field
theory. In this deformed theory, we investigate an anomalous dimension
representing the change of an operator's scaling dimension along the RG flow.
| [
{
"created": "Fri, 16 Sep 2022 04:59:11 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Sep 2022 05:47:44 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Mar 2023 13:02:28 GMT",
"version": "v3"
}
] | 2023-06-14 | [
[
"Park",
"Chanyong",
""
]
] | We study the holographic dual of two-point correlation functions for nonconformal field theories. We first take into account a Lifshitz geometry as the dual of a Lifshitz field theory which may appear at a critical or IR fixed point. We explicitly show the holographic relation between a Lifshitz geometry and a Lifshitz field theory by calculating two-point correlators and equation of state parameter on both sides. We also investigate a disorder deformation, which allows a UV conformal field theory to flow into a new IR Lifshitz field theory. In this deformed theory, we investigate an anomalous dimension representing the change of an operator's scaling dimension along the RG flow. |
hep-th/9704211 | Simon Dalley | S. Dalley | Collinear QCD Models | 6 pages, LaTeX, uses boxedeps.tex (included). Invited talk at `New
Non-Perturbative Methods and Quantisation on the Light-Cone', Les Houches 24
Feb - 4 Mar 1997. (To appear in proceedings). Replaced version has a (sign)
typo corrected in very last sentence | null | null | CERN-TH/97-87 | hep-th | null | The small momentum fraction x behaviour of quarks in mesons is analysed in
the 1+1-dimensional reduced model of large-N QCD by light-cone quantisation.
| [
{
"created": "Wed, 30 Apr 1997 14:22:44 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Jun 1997 15:48:24 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dalley",
"S.",
""
]
] | The small momentum fraction x behaviour of quarks in mesons is analysed in the 1+1-dimensional reduced model of large-N QCD by light-cone quantisation. |
hep-th/9304068 | null | Ana Ach\'ucarro and Miguel Ortiz | Relating black holes in two and three dimensions | 12 pages, CTP #2181, January 1993 | Phys.Rev.D48:3600-3605,1993 | 10.1103/PhysRevD.48.3600 | null | hep-th gr-qc | null | The three dimensional black hole solutions of Ba\~nados, Teitelboim and
Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions
are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for
spinless BTZ black holes, and to a simple extension with a non-zero dilaton
potential for black holes of fixed spin. Similar reductions are given for
charged black holes. The resulting two dimensional solutions are themselves
black holes, and are appropriate for investigating exact ``S-wave'' scattering
in the BTZ metrics. Using a different dimensional reduction to the string
inspired model of two dimensional gravity, the BTZ solutions are related to the
familiar two dimensional black hole and the linear dilaton vacuum.
| [
{
"created": "Fri, 16 Apr 1993 20:57:57 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Achúcarro",
"Ana",
""
],
[
"Ortiz",
"Miguel",
""
]
] | The three dimensional black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for spinless BTZ black holes, and to a simple extension with a non-zero dilaton potential for black holes of fixed spin. Similar reductions are given for charged black holes. The resulting two dimensional solutions are themselves black holes, and are appropriate for investigating exact ``S-wave'' scattering in the BTZ metrics. Using a different dimensional reduction to the string inspired model of two dimensional gravity, the BTZ solutions are related to the familiar two dimensional black hole and the linear dilaton vacuum. |
1509.02729 | Andre Lukas | Andrei Constantin, Andre Lukas, Challenger Mishra | The Family Problem: Hints from Heterotic Line Bundle Models | 16 pages Latex | JHEP 03 (2016) 173 | 10.1007/JHEP03(2016)173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the class of heterotic line bundle models, we argue that N=1 vacua
which lead to a small number of low-energy chiral families are preferred. By
imposing an upper limit on the volume of the internal manifold, as required in
order to obtain finite values of the four-dimensional gauge couplings, and
validity of the supergravity approximation we show that, for a given manifold,
only a finite number of line bundle sums are consistent with supersymmetry. By
explicitly scanning over this finite set of line bundle models on certain
manifolds we show that, for a sufficiently small volume of the internal
manifold, the family number distribution peaks at small values, consistent with
three chiral families. The relation between the maximal number of families and
the gauge coupling is discussed, which hints towards a possible explanation of
the family problem.
| [
{
"created": "Wed, 9 Sep 2015 11:33:34 GMT",
"version": "v1"
}
] | 2016-11-09 | [
[
"Constantin",
"Andrei",
""
],
[
"Lukas",
"Andre",
""
],
[
"Mishra",
"Challenger",
""
]
] | Within the class of heterotic line bundle models, we argue that N=1 vacua which lead to a small number of low-energy chiral families are preferred. By imposing an upper limit on the volume of the internal manifold, as required in order to obtain finite values of the four-dimensional gauge couplings, and validity of the supergravity approximation we show that, for a given manifold, only a finite number of line bundle sums are consistent with supersymmetry. By explicitly scanning over this finite set of line bundle models on certain manifolds we show that, for a sufficiently small volume of the internal manifold, the family number distribution peaks at small values, consistent with three chiral families. The relation between the maximal number of families and the gauge coupling is discussed, which hints towards a possible explanation of the family problem. |
1707.09766 | Peng-Cheng Li | Bin Chen, Peng-Cheng Li and Cheng-Yong Zhang | Einstein-Gauss-Bonnet Black Strings at Large $D$ | 22 pages, 8 figures, some errors corrected, references added | JHEP10(2017)123 | 10.1007/JHEP10(2017)123 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the black string solutions in the Einstein-Gauss-Bonnet(EGB) theory
at large $D$. By using the $1/D$ expansion in the near horizon region we derive
the effective equations that describe the dynamics of the EGB black strings.
The uniform and non-uniform black strings are obtained as the static solutions
of the effective equations. From the perturbation analysis of the effective
equations, we find that thin EGB black strings suffer from the Gregory-Laflamme
instablity and the GB term weakens the instability when the GB coefficient is
small, however, when the GB coefficient is large the GB term enhances the
instability. Furthermore, we numerically solve the effective equations to study
the non-linear instability. It turns out that the thin black strings are
unstable to developing inhomogeneities along their length, and at late times
they asymptote to the stable non-uniform black strings. The behavior is
qualitatively similar to the case in the Einstein gravity. Compared with the
black string instability in the Einstein gravity at large D, when the GB
coefficient is small the time needed to reach to final state increases, but
when the GB coefficient is large the time to reach to final state decreases.
Starting from the point of view in which the effective equations can be
interpreted as the equations for the dynamical fluid, we evaluate the transport
coefficients and find that the ratio of the shear viscosity and the entropy
density agrees with that obtained previously in the membrane paradigm after
taking the large $D$ limit.
| [
{
"created": "Mon, 31 Jul 2017 08:53:04 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Aug 2017 08:45:47 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Oct 2017 02:18:47 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Chen",
"Bin",
""
],
[
"Li",
"Peng-Cheng",
""
],
[
"Zhang",
"Cheng-Yong",
""
]
] | We study the black string solutions in the Einstein-Gauss-Bonnet(EGB) theory at large $D$. By using the $1/D$ expansion in the near horizon region we derive the effective equations that describe the dynamics of the EGB black strings. The uniform and non-uniform black strings are obtained as the static solutions of the effective equations. From the perturbation analysis of the effective equations, we find that thin EGB black strings suffer from the Gregory-Laflamme instablity and the GB term weakens the instability when the GB coefficient is small, however, when the GB coefficient is large the GB term enhances the instability. Furthermore, we numerically solve the effective equations to study the non-linear instability. It turns out that the thin black strings are unstable to developing inhomogeneities along their length, and at late times they asymptote to the stable non-uniform black strings. The behavior is qualitatively similar to the case in the Einstein gravity. Compared with the black string instability in the Einstein gravity at large D, when the GB coefficient is small the time needed to reach to final state increases, but when the GB coefficient is large the time to reach to final state decreases. Starting from the point of view in which the effective equations can be interpreted as the equations for the dynamical fluid, we evaluate the transport coefficients and find that the ratio of the shear viscosity and the entropy density agrees with that obtained previously in the membrane paradigm after taking the large $D$ limit. |
2209.07117 | El Hassan Saidi | Y. Boujakhrout, E.H Saidi, R. Ahl Laamara, L.B Drissi | Lax Operator and superspin chains from 4D CS gauge theory | LaTeX, 55 pages, 8 figures | null | 10.1088/1751-8121/ac9355 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of interacting line defects in the four-dimensional
Chern Simons (CS) gauge theory with invariance given by the $SL\left(
m|n\right) $ super-group family. From this theory, we derive the oscillator
realisation of the Lax operator for superspin chains with $SL(m|n)$ symmetry.
To this end, we investigate the holomorphic property of the bosonic Lax
operator $\mathcal{L}$ and build a differential equation $%
\mathfrak{D}\mathcal{L}=0$ solved by the Costello-Gaioto-Yagi realisation of
$\mathcal{L}$ in the framework of\ the CS theory. We generalize this
construction to the case of gauge super-groups, and develop a Dynkin
super-diagram algorithm to\ deal with the decomposition of the Lie
superalgebras. We obtain the generalisation of the Lax operator describing the
interaction between the electric Wilson super-lines and the magnetic 't Hooft
super-defects. This coupling is given in terms of a mixture of bosonic and
fermionic oscillator degrees of freedom in the phase space of magnetically
charged 't Hooft super-lines. The purely fermionic realisation of the superspin
chain Lax operator is also investigated and it is found to coincide exactly
with the $\mathbb{Z}_{2}$- gradation of Lie superalgebras.\ \newline Keywords:
4D Chern-Simons theory, Super-gauge symmetry, Lie superalgebras and Dynkin
super-diagrams, Superspin chains and integrability, Super- Lax operator.
| [
{
"created": "Thu, 15 Sep 2022 07:59:50 GMT",
"version": "v1"
}
] | 2022-10-19 | [
[
"Boujakhrout",
"Y.",
""
],
[
"Saidi",
"E. H",
""
],
[
"Laamara",
"R. Ahl",
""
],
[
"Drissi",
"L. B",
""
]
] | We study the properties of interacting line defects in the four-dimensional Chern Simons (CS) gauge theory with invariance given by the $SL\left( m|n\right) $ super-group family. From this theory, we derive the oscillator realisation of the Lax operator for superspin chains with $SL(m|n)$ symmetry. To this end, we investigate the holomorphic property of the bosonic Lax operator $\mathcal{L}$ and build a differential equation $% \mathfrak{D}\mathcal{L}=0$ solved by the Costello-Gaioto-Yagi realisation of $\mathcal{L}$ in the framework of\ the CS theory. We generalize this construction to the case of gauge super-groups, and develop a Dynkin super-diagram algorithm to\ deal with the decomposition of the Lie superalgebras. We obtain the generalisation of the Lax operator describing the interaction between the electric Wilson super-lines and the magnetic 't Hooft super-defects. This coupling is given in terms of a mixture of bosonic and fermionic oscillator degrees of freedom in the phase space of magnetically charged 't Hooft super-lines. The purely fermionic realisation of the superspin chain Lax operator is also investigated and it is found to coincide exactly with the $\mathbb{Z}_{2}$- gradation of Lie superalgebras.\ \newline Keywords: 4D Chern-Simons theory, Super-gauge symmetry, Lie superalgebras and Dynkin super-diagrams, Superspin chains and integrability, Super- Lax operator. |
2208.00177 | Francesc Cunillera | Francesc Cunillera | Dark energy: EFTs and supergravity | PhD thesis | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | The subject of this thesis is cosmological implications of string
compactifications understood in a broad sense. In the first half of the thesis,
we will begin by reviewing the four-dimensional description of the tree-level
perturbative type IIB action. We will then review a number of open questions in
cosmology and their relevance with regards to the remainder of the thesis. We
will first explore some of these cosmological questions from the perspective of
effective field theories motivated by supergravity. From the naturalness of
dark energy and how to obtain a naturally light dark energy field in terms of
the clockwork mechanism and the Dvali-Kaloper-Sorbo four-form mixing. We also
discuss the coincidence problem for dynamical models of dark energy consistent
with a quintessence field slowly rolling down a potential slope, of the type
one would expect from the asymptotics of moduli space.
In the second half of the thesis, we introduce the effects of perturbative
and non-perturbative corrections to the tree-level type IIB action. We then
focus on obtaining a viable model of quintessence from the type IIB effective
field theory. However, we are able to show that such a model must have a
non-supersymmetric Minkowski vacuum at leading order. When we consider the
effects of quantum fluctuations during the early Universe, we see that such
models must have extremely fine-tuned initial conditions to describe a
slow-rolling scalar field at present times. We conclude that quintessence faces
more challenges than a true cosmological constant, to the point that
quintessence is very unattractive for model building modulo a ruling out of the
cosmological constant by observations. Following this line of reasoning, we
consider whether other perturbative corrections can generate de Sitter
solutions in an appropriate setting.
| [
{
"created": "Sat, 30 Jul 2022 10:15:07 GMT",
"version": "v1"
}
] | 2022-08-02 | [
[
"Cunillera",
"Francesc",
""
]
] | The subject of this thesis is cosmological implications of string compactifications understood in a broad sense. In the first half of the thesis, we will begin by reviewing the four-dimensional description of the tree-level perturbative type IIB action. We will then review a number of open questions in cosmology and their relevance with regards to the remainder of the thesis. We will first explore some of these cosmological questions from the perspective of effective field theories motivated by supergravity. From the naturalness of dark energy and how to obtain a naturally light dark energy field in terms of the clockwork mechanism and the Dvali-Kaloper-Sorbo four-form mixing. We also discuss the coincidence problem for dynamical models of dark energy consistent with a quintessence field slowly rolling down a potential slope, of the type one would expect from the asymptotics of moduli space. In the second half of the thesis, we introduce the effects of perturbative and non-perturbative corrections to the tree-level type IIB action. We then focus on obtaining a viable model of quintessence from the type IIB effective field theory. However, we are able to show that such a model must have a non-supersymmetric Minkowski vacuum at leading order. When we consider the effects of quantum fluctuations during the early Universe, we see that such models must have extremely fine-tuned initial conditions to describe a slow-rolling scalar field at present times. We conclude that quintessence faces more challenges than a true cosmological constant, to the point that quintessence is very unattractive for model building modulo a ruling out of the cosmological constant by observations. Following this line of reasoning, we consider whether other perturbative corrections can generate de Sitter solutions in an appropriate setting. |
2309.04112 | Farzad Omidi | Farzad Omidi | Pseudo R\'enyi Entanglement Entropies For an Excited State and Its Time
Evolution in a 2D CFT | V1: 33 pages,19 figures V2: 35 pages, 19 figures, minor improvements,
references added | null | null | IPM/P-2023/59 | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate the second and third pseudo R\'enyi
entanglement entropies (PREE) for a locally excited state $| \psi \rangle $ and
its time evolution $| \phi \rangle = e^{- i H t} | \psi \rangle$ in a
two-dimensional conformal field theory whose field content is a free massless
scalar field. We consider excited states which are constructed by applying
primary operators at time $t=0$, on the vacuum state. We study the time
evolution of the PREE for an entangling region in the shape of finite and
semi-infinite intervals at zero temperature. It is observed that the PREE is
always a complex number for $t \neq 0$ and is a pure real number at $t=0$.
Moreover, we discuss on its dependence on the location $x_m$ of the center of
the entangling region.
| [
{
"created": "Fri, 8 Sep 2023 04:14:02 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Sep 2023 10:35:53 GMT",
"version": "v2"
}
] | 2023-09-28 | [
[
"Omidi",
"Farzad",
""
]
] | In this paper, we investigate the second and third pseudo R\'enyi entanglement entropies (PREE) for a locally excited state $| \psi \rangle $ and its time evolution $| \phi \rangle = e^{- i H t} | \psi \rangle$ in a two-dimensional conformal field theory whose field content is a free massless scalar field. We consider excited states which are constructed by applying primary operators at time $t=0$, on the vacuum state. We study the time evolution of the PREE for an entangling region in the shape of finite and semi-infinite intervals at zero temperature. It is observed that the PREE is always a complex number for $t \neq 0$ and is a pure real number at $t=0$. Moreover, we discuss on its dependence on the location $x_m$ of the center of the entangling region. |
1502.02033 | David Simmons-Duffin | David Simmons-Duffin | A Semidefinite Program Solver for the Conformal Bootstrap | 34 pages, 3 figures, and 3500 lines of C++ | null | null | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce SDPB: an open-source, parallelized, arbitrary-precision
semidefinite program solver, designed for the conformal bootstrap. SDPB
significantly outperforms less specialized solvers and should enable many new
computations. As an example application, we compute a new rigorous
high-precision bound on operator dimensions in the 3d Ising CFT,
$\Delta_\sigma=0.518151(6)$, $\Delta_\epsilon=1.41264(6)$.
| [
{
"created": "Fri, 6 Feb 2015 21:00:02 GMT",
"version": "v1"
}
] | 2015-02-10 | [
[
"Simmons-Duffin",
"David",
""
]
] | We introduce SDPB: an open-source, parallelized, arbitrary-precision semidefinite program solver, designed for the conformal bootstrap. SDPB significantly outperforms less specialized solvers and should enable many new computations. As an example application, we compute a new rigorous high-precision bound on operator dimensions in the 3d Ising CFT, $\Delta_\sigma=0.518151(6)$, $\Delta_\epsilon=1.41264(6)$. |
1212.3244 | Bruno Carneiro da Cunha | F\'abio Novaes and Bruno Carneiro da Cunha | Holography as Cutoff: a proposal for measure of inflationary universes | 18 pages, RevTeX4.1, Clarifications on the geometrical nature of the
cutoff. Version matches printed version | Intl. J. Mod. Phys. A, Vol. 29 (2014) 1450102 | 10.1142/S0217751X14501024 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose the holographic principle as a dynamical cutoff for any quantum
theory of gravity with a geometric description at low energies, incorporating
ideas of effective field theory. We illustrate the proposal by revisiting the
problem of defining a measure for homogeneous and isotropic spacetimes coupled
to a scalar field and conclude by discussing the implications to the
inflationary model.
| [
{
"created": "Thu, 13 Dec 2012 18:03:01 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2014 14:34:16 GMT",
"version": "v2"
}
] | 2014-06-20 | [
[
"Novaes",
"Fábio",
""
],
[
"da Cunha",
"Bruno Carneiro",
""
]
] | We propose the holographic principle as a dynamical cutoff for any quantum theory of gravity with a geometric description at low energies, incorporating ideas of effective field theory. We illustrate the proposal by revisiting the problem of defining a measure for homogeneous and isotropic spacetimes coupled to a scalar field and conclude by discussing the implications to the inflationary model. |
hep-th/0011055 | Jellal Ahmed | Ahmed Jellal and El Hassan El Kinani | Graded q-pseudo-differential Operators and Supersymmetric Algebras | 10 pages, Latex | J.Phys.A35:3697-3702,2002 | 10.1088/0305-4470/35/16/308 | null | hep-th | null | We give a supersymmetric generalization of the sine algebra and the quantum
algebra $U_{t}(sl(2))$. Making use of the $q$-pseudo-differential operators
graded with a fermionic algebra, we obtain a supersymmetric extension of sine
algebra. With this scheme we also get a quantum superalgebra $U_{t}(sl(2/1)$.
| [
{
"created": "Wed, 8 Nov 2000 16:03:28 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2000 18:03:33 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Dec 2000 11:12:22 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Jellal",
"Ahmed",
""
],
[
"Kinani",
"El Hassan El",
""
]
] | We give a supersymmetric generalization of the sine algebra and the quantum algebra $U_{t}(sl(2))$. Making use of the $q$-pseudo-differential operators graded with a fermionic algebra, we obtain a supersymmetric extension of sine algebra. With this scheme we also get a quantum superalgebra $U_{t}(sl(2/1)$. |
1907.10073 | Peter Lowdon | Shirley Weishi Li, Peter Lowdon, Orlando Oliveira, Paulo J. Silva | The generalised infrared structure of the gluon propagator | 12 pages, 2 figures; v2: additional comments and figure added,
matches published version | Phys. Lett. B 803 (2020) 135329 | 10.1016/j.physletb.2020.135329 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge theory correlators are potentially more singular in the infrared than
those in non-gauge theories. We determine the implications that these
singularities have on the spectrum of the theory, proving that the appearance
of generalised poles implies the existence of on-shell states with fixed mass,
but zero norm. For quantum chromodynamics these poles have direct relevance for
the confinement of coloured states. Using lattice data for the Landau gauge
gluon propagator we subsequently test for the presence of these poles,
establishing that the data is indeed consistent with such a component.
| [
{
"created": "Tue, 23 Jul 2019 18:00:05 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Feb 2020 08:57:57 GMT",
"version": "v2"
}
] | 2020-02-28 | [
[
"Li",
"Shirley Weishi",
""
],
[
"Lowdon",
"Peter",
""
],
[
"Oliveira",
"Orlando",
""
],
[
"Silva",
"Paulo J.",
""
]
] | Gauge theory correlators are potentially more singular in the infrared than those in non-gauge theories. We determine the implications that these singularities have on the spectrum of the theory, proving that the appearance of generalised poles implies the existence of on-shell states with fixed mass, but zero norm. For quantum chromodynamics these poles have direct relevance for the confinement of coloured states. Using lattice data for the Landau gauge gluon propagator we subsequently test for the presence of these poles, establishing that the data is indeed consistent with such a component. |
2407.15925 | Hynek Paul | Yu-tin Huang, Hynek Paul, Michele Santagata | Non-analytic terms of string amplitudes from partial waves | 36 pages and 1 ancillary file | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We describe a general formalism based on the partial-wave decomposition to
compute the iterative $s$-channel discontinuity of four-point amplitudes at any
loop order. As an application, we focus on the low-energy expansions of type I
and II superstring amplitudes. Besides providing new results for their leading
and sub-leading logarithmic contributions beyond genus one, our approach
elucidates the general structure of non-analytic threshold terms. In the case
of open strings, the use of orthogonal colour projectors allows us to
efficiently compute all contributions from different worldsheet topologies at a
given loop order.
| [
{
"created": "Mon, 22 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] | 2024-07-24 | [
[
"Huang",
"Yu-tin",
""
],
[
"Paul",
"Hynek",
""
],
[
"Santagata",
"Michele",
""
]
] | We describe a general formalism based on the partial-wave decomposition to compute the iterative $s$-channel discontinuity of four-point amplitudes at any loop order. As an application, we focus on the low-energy expansions of type I and II superstring amplitudes. Besides providing new results for their leading and sub-leading logarithmic contributions beyond genus one, our approach elucidates the general structure of non-analytic threshold terms. In the case of open strings, the use of orthogonal colour projectors allows us to efficiently compute all contributions from different worldsheet topologies at a given loop order. |
hep-th/9303046 | null | David J. Gross and Washington Taylor | Twists and Wilson Loops in the String Theory of Two Dimensional QCD | 57 pages, CERN-TH. 6827/93, PUPT-1382,LBL-33458, UCB-PTH-93/09 | Nucl.Phys.B403:395-452,1993 | 10.1016/0550-3213(93)90042-N | null | hep-th hep-ph | null | Many Texo's have been corrected and a reference added.
| [
{
"created": "Mon, 8 Mar 1993 18:13:39 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Mar 1993 10:28:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gross",
"David J.",
""
],
[
"Taylor",
"Washington",
""
]
] | Many Texo's have been corrected and a reference added. |
hep-th/9310198 | Denjoe O'Connor | Denjoe O'Connor and C. R. Stephens | Environmentally Friendly Renormalization | 76 pages of Plain Tex, Postscript figures available upon request from
denjoe@stp.dias.ie, preprint numbers THU-93/14, DIAS-STP-93-19 | Int.J.Mod.Phys. A9 (1994) 2805-2902; Erratum-ibid. A9 (1994) 5851 | 10.1142/S0217751X94001151 | null | hep-th | null | We analyze the renormalization of systems whose effective degrees of freedom
are described in terms of fluctuations which are ``environment'' dependent.
Relevant environmental parameters considered are: temperature, system size,
boundary conditions, and external fields. The points in the space of \lq\lq
coupling constants'' at which such systems exhibit scale invariance coincide
only with the fixed points of a global renormalization group which is
necessarily environment dependent. Using such a renormalization group we give
formal expressions to two loops for effective critical exponents for a generic
crossover induced by a relevant mass scale $g$. These effective exponents are
seen to obey scaling laws across the entire crossover, including hyperscaling,
but in terms of an effective dimensionality, $d\ef=4-\gl$, which represents the
effects of the leading irrelevant operator. We analyze the crossover of an
$O(N)$ model on a $d$ dimensional layered geometry with periodic, antiperiodic
and Dirichlet boundary conditions. Explicit results to two loops for effective
exponents are obtained using a [2,1] Pad\'e resummed coupling, for: the
``Gaussian model'' ($N=-2$), spherical model ($N=\infty$), Ising Model ($N=1$),
polymers ($N=0$), XY-model ($N=2$) and Heisenberg ($N=3$) models in four
dimensions. We also give two loop Pad\'e resummed results for a three
dimensional Ising ferromagnet in a transverse magnetic field and corresponding
one loop results for the two dimensional model. One loop results are also
presented for a three dimensional layered Ising model with Dirichlet and
antiperiodic boundary conditions. Asymptotically the effective exponents are in
excellent agreement with known results.
| [
{
"created": "Sun, 31 Oct 1993 17:33:32 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"O'Connor",
"Denjoe",
""
],
[
"Stephens",
"C. R.",
""
]
] | We analyze the renormalization of systems whose effective degrees of freedom are described in terms of fluctuations which are ``environment'' dependent. Relevant environmental parameters considered are: temperature, system size, boundary conditions, and external fields. The points in the space of \lq\lq coupling constants'' at which such systems exhibit scale invariance coincide only with the fixed points of a global renormalization group which is necessarily environment dependent. Using such a renormalization group we give formal expressions to two loops for effective critical exponents for a generic crossover induced by a relevant mass scale $g$. These effective exponents are seen to obey scaling laws across the entire crossover, including hyperscaling, but in terms of an effective dimensionality, $d\ef=4-\gl$, which represents the effects of the leading irrelevant operator. We analyze the crossover of an $O(N)$ model on a $d$ dimensional layered geometry with periodic, antiperiodic and Dirichlet boundary conditions. Explicit results to two loops for effective exponents are obtained using a [2,1] Pad\'e resummed coupling, for: the ``Gaussian model'' ($N=-2$), spherical model ($N=\infty$), Ising Model ($N=1$), polymers ($N=0$), XY-model ($N=2$) and Heisenberg ($N=3$) models in four dimensions. We also give two loop Pad\'e resummed results for a three dimensional Ising ferromagnet in a transverse magnetic field and corresponding one loop results for the two dimensional model. One loop results are also presented for a three dimensional layered Ising model with Dirichlet and antiperiodic boundary conditions. Asymptotically the effective exponents are in excellent agreement with known results. |
hep-th/9512208 | Takanori Sugihara | Takanori Sugihara and Masanobu Yahiro | A perturbative renormalization group approach to light-front Hamiltonian | 29 pages, LaTeX, 7 figures, uses revtex and epsbox.sty | Phys.Rev. D53 (1996) 7239-7249 | 10.1103/PhysRevD.53.7239 | KYUSHU-HET-29 | hep-th | null | A perturbative renormalization group (RG) scheme for light-front Hamiltonian
is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and
applied to the simplest $\phi^4$ model with spontaneous breaking of the $Z_2$
symmetry. RG equations are derived at one-loop order for both symmetric and
broken phases. The equations are consistent with those calculated in the
covariant perturbation theory. For the symmetric phase, an initial cutoff
Hamiltonian in the RG procedure is made by excluding the zero mode from the
canonical Hamiltonian with an appropriate regularization. An initial cutoff
Hamiltonian for the broken phase is constructed by shifting $\phi$ as $\phi
\rightarrow\phi-v$ in the initial Hamiltonian for the symmetric phase. The
shifted value $v$ is determined on a renormalization trajectory. The minimum of
the effective potential occurs on the trajectory.
| [
{
"created": "Thu, 28 Dec 1995 10:26:31 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Sugihara",
"Takanori",
""
],
[
"Yahiro",
"Masanobu",
""
]
] | A perturbative renormalization group (RG) scheme for light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest $\phi^4$ model with spontaneous breaking of the $Z_2$ symmetry. RG equations are derived at one-loop order for both symmetric and broken phases. The equations are consistent with those calculated in the covariant perturbation theory. For the symmetric phase, an initial cutoff Hamiltonian in the RG procedure is made by excluding the zero mode from the canonical Hamiltonian with an appropriate regularization. An initial cutoff Hamiltonian for the broken phase is constructed by shifting $\phi$ as $\phi \rightarrow\phi-v$ in the initial Hamiltonian for the symmetric phase. The shifted value $v$ is determined on a renormalization trajectory. The minimum of the effective potential occurs on the trajectory. |
1011.1284 | Masanori Hanada | Masanori Hanada | Numerical approach to SUSY quantum mechanics and the gauge/gravity
duality | 16 pages, 4 figures. Based on an invited talk at the workshop
"Supersymmetric Quantum Mechanics and Spectral Design", Benasque, Spain,
2010, Jul 18 -- Jul 30 | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate that Monte-Carlo simulation is a practical tool to study
nonperturbative aspects of supersymmetric quantum mechanics. As an example we
study D0-brane quantum mechanics in the context of superstring theory.
Numerical data nicely reproduce predictions from gravity side, including the
coupling constant dependence of the string alpha' correction. This strongly
suggests the duality to hold beyond the supergravity approximation. Although
detail of the stringy correction cannot be obtained by state-of-the-art
techniques in gravity side, in the matrix quantum mechanics we can obtain
concrete values. Therefore the Monte-Carlo simulation combined with the duality
provides a powerful tool to study the superstring theory.
| [
{
"created": "Thu, 4 Nov 2010 22:16:37 GMT",
"version": "v1"
}
] | 2010-11-08 | [
[
"Hanada",
"Masanori",
""
]
] | We demonstrate that Monte-Carlo simulation is a practical tool to study nonperturbative aspects of supersymmetric quantum mechanics. As an example we study D0-brane quantum mechanics in the context of superstring theory. Numerical data nicely reproduce predictions from gravity side, including the coupling constant dependence of the string alpha' correction. This strongly suggests the duality to hold beyond the supergravity approximation. Although detail of the stringy correction cannot be obtained by state-of-the-art techniques in gravity side, in the matrix quantum mechanics we can obtain concrete values. Therefore the Monte-Carlo simulation combined with the duality provides a powerful tool to study the superstring theory. |
2305.08118 | Aleksandr Artemev | Aleksandr Artemev | $p \to \infty$ limit of tachyon correlators in $(2,2p+1)$ minimal
Liouville gravity from classical Liouville theory | 23 pages; v2: minor changes | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Previously it was suggested, motivated by correspondence with JT gravity,
that tachyon correlators in $(2,2p+1)$ minimal Liouville gravity (MLG) in the
$p\to \infty$ (semiclassical) limit should be interpreted as moduli space
volumes for constant curvature surfaces with conical defects. In this work we
propose that these volumes are associated with Kahler metrics on moduli spaces
introduced by Zograf and Takhtajan, for which the classical Liouville action is
a Kahler potential. We check this proposal by numerical calculation of these
Kahler metrics and associated volumes for the simplest example of genus 0
surface with 4 conical defects, using conformal field theory. A peculiar
property of MLG correlators is proportionality to number of conformal blocks in
a certain region of parameter space; in a particular limiting case, we check
this property for the volumes following from classical Liouville action and
thus provide an analytic confirmation of our proposal.
| [
{
"created": "Sun, 14 May 2023 10:31:43 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jul 2023 07:41:12 GMT",
"version": "v2"
}
] | 2023-07-26 | [
[
"Artemev",
"Aleksandr",
""
]
] | Previously it was suggested, motivated by correspondence with JT gravity, that tachyon correlators in $(2,2p+1)$ minimal Liouville gravity (MLG) in the $p\to \infty$ (semiclassical) limit should be interpreted as moduli space volumes for constant curvature surfaces with conical defects. In this work we propose that these volumes are associated with Kahler metrics on moduli spaces introduced by Zograf and Takhtajan, for which the classical Liouville action is a Kahler potential. We check this proposal by numerical calculation of these Kahler metrics and associated volumes for the simplest example of genus 0 surface with 4 conical defects, using conformal field theory. A peculiar property of MLG correlators is proportionality to number of conformal blocks in a certain region of parameter space; in a particular limiting case, we check this property for the volumes following from classical Liouville action and thus provide an analytic confirmation of our proposal. |
1307.7169 | Lavinia Heisenberg | Claudia de Rham, Lavinia Heisenberg, Raquel H. Ribeiro | Quantum Corrections in Massive Gravity | v2: References added, 29 pages, 7 figures | Phys. Rev. D 88, 084058 (2013) | 10.1103/PhysRevD.88.084058 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the one-loop quantum corrections to the potential of ghost-free
massive gravity. We show how the mass of external matter fields contribute to
the running of the cosmological constant, but do not change the ghost-free
structure of the massive gravity potential at one-loop. When considering
gravitons running in the loops, we show how the structure of the potential gets
destabilized at the quantum level, but in a way which would never involve a
ghost with a mass smaller than the Planck scale. This is done by explicitly
computing the one-loop effective action and supplementing it with the
Vainshtein mechanism. We conclude that to one-loop order the special mass
structure of ghost-free massive gravity is technically natural.
| [
{
"created": "Fri, 26 Jul 2013 21:11:14 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 2013 19:21:08 GMT",
"version": "v2"
}
] | 2013-11-13 | [
[
"de Rham",
"Claudia",
""
],
[
"Heisenberg",
"Lavinia",
""
],
[
"Ribeiro",
"Raquel H.",
""
]
] | We compute the one-loop quantum corrections to the potential of ghost-free massive gravity. We show how the mass of external matter fields contribute to the running of the cosmological constant, but do not change the ghost-free structure of the massive gravity potential at one-loop. When considering gravitons running in the loops, we show how the structure of the potential gets destabilized at the quantum level, but in a way which would never involve a ghost with a mass smaller than the Planck scale. This is done by explicitly computing the one-loop effective action and supplementing it with the Vainshtein mechanism. We conclude that to one-loop order the special mass structure of ghost-free massive gravity is technically natural. |
hep-th/9811175 | Svt | S.V. Talalov | About the Poisson Structure for D4 Spinning String | 23 pages | J.Phys.A32:845-857,1999 | 10.1088/0305-4470/32/5/014 | null | hep-th | null | The model of D4 open string with non-Grassmann spinning variables is
considered. The non-linear gauge, which is invariant both Poincar\'e and scale
transformations of the space-time, is used for subsequent studies. It is shown
that the reduction of the canonical Poisson structure from the original phase
space to the surface of constraints and gauge conditions gives the degenerated
Poisson brackets. Moreover it is shown that such reduction is non-unique. The
conseption of the adjunct phase space is introduced. The consequences for
subsequent quantization are discussed. Deduced dependence of spin $J$ from the
square of mass $\mu^2$ of the string generalizes the ''Regge spectrum`` for
conventional theory.
| [
{
"created": "Thu, 19 Nov 1998 09:34:49 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Talalov",
"S. V.",
""
]
] | The model of D4 open string with non-Grassmann spinning variables is considered. The non-linear gauge, which is invariant both Poincar\'e and scale transformations of the space-time, is used for subsequent studies. It is shown that the reduction of the canonical Poisson structure from the original phase space to the surface of constraints and gauge conditions gives the degenerated Poisson brackets. Moreover it is shown that such reduction is non-unique. The conseption of the adjunct phase space is introduced. The consequences for subsequent quantization are discussed. Deduced dependence of spin $J$ from the square of mass $\mu^2$ of the string generalizes the ''Regge spectrum`` for conventional theory. |
hep-th/9907005 | Farhad Ghaboussi | F. Ghaboussi | On The Equivalence Of Four Dimensional And Two dimensional Field
Theories | 19 pages, Latex, a revised version | null | null | null | hep-th | null | We investigate the dimensional, the dynamical and the topological structures
of four dimensional Einstein and Yang-Mills theories. It is shown that these
theories are constructed from two dimensional quantities, so that they possess
always a distinguished two dimensional substructure. In this sense the four
dimensional field theories are equivalent to related two dimensional field
theories.
| [
{
"created": "Thu, 1 Jul 1999 05:22:58 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Nov 1999 16:19:08 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Ghaboussi",
"F.",
""
]
] | We investigate the dimensional, the dynamical and the topological structures of four dimensional Einstein and Yang-Mills theories. It is shown that these theories are constructed from two dimensional quantities, so that they possess always a distinguished two dimensional substructure. In this sense the four dimensional field theories are equivalent to related two dimensional field theories. |
hep-th/0105202 | Nobuhito Maru | Nobuhito Maru | SUSY Breaking by Coexisting Walls | 6 pages, 2 EPS figures, LaTeX2e, Pararell session talk presented at
Eighth International Symposium on Particles, Strings and Cosmology (PASCOS
2001), University of North Carolina at Chapel Hill, April 10-15, 2001,
Reference added | null | null | UT-941 | hep-th | null | Supersymmetry (SUSY) breaking without messenger fields is proposed. We assume
that our world is on a wall and SUSY is broken only by the coexistence of
another wall with some distance from our wall. The Nambu-Goldstone (NG) fermion
is localized on the distant wall. Its overlap with the wave functions of
physical fields on our wall gives the mass splitting of physical fields on our
wall thanks to a low-energy theorem. We propose that this overlap provides a
practical method to evaluate mass splitting in models with SUSY breaking due to
the coexistence of walls.
| [
{
"created": "Mon, 21 May 2001 07:46:15 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2001 07:42:19 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Maru",
"Nobuhito",
""
]
] | Supersymmetry (SUSY) breaking without messenger fields is proposed. We assume that our world is on a wall and SUSY is broken only by the coexistence of another wall with some distance from our wall. The Nambu-Goldstone (NG) fermion is localized on the distant wall. Its overlap with the wave functions of physical fields on our wall gives the mass splitting of physical fields on our wall thanks to a low-energy theorem. We propose that this overlap provides a practical method to evaluate mass splitting in models with SUSY breaking due to the coexistence of walls. |
1007.0441 | Guangyu Guo | Katrin Becker, Guangyu Guo and Daniel Robbins | Higher Derivative Brane Couplings from T-Duality | 30 pages, 1 figure, references added | JHEP 1009:029,2010 | 10.1007/JHEP09(2010)029 | MIFP-10-29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Wess-Zumino coupling on D-branes in string theory is known to receive
higher derivative corrections which couple the Ramond-Ramond potential to terms
involving the square of the spacetime curvature tensor. Consistency with
T-duality implies that the branes should also have four-derivative couplings
that involve the NS-NS B-field. We use T-duality to predict some of these
couplings. We then confirm these results with string worldsheet computations by
evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex
operators.
| [
{
"created": "Fri, 2 Jul 2010 20:06:53 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2010 13:55:32 GMT",
"version": "v2"
}
] | 2010-09-16 | [
[
"Becker",
"Katrin",
""
],
[
"Guo",
"Guangyu",
""
],
[
"Robbins",
"Daniel",
""
]
] | The Wess-Zumino coupling on D-branes in string theory is known to receive higher derivative corrections which couple the Ramond-Ramond potential to terms involving the square of the spacetime curvature tensor. Consistency with T-duality implies that the branes should also have four-derivative couplings that involve the NS-NS B-field. We use T-duality to predict some of these couplings. We then confirm these results with string worldsheet computations by evaluating disc amplitudes with insertions of one R-R and two NS-NS vertex operators. |
1910.02963 | Thomas Grimm | Thomas W. Grimm, Fabian Ruehle, Damian van de Heisteeg | Classifying Calabi-Yau threefolds using infinite distance limits | 41 pages, 17 figures | Commun.Math.Phys. 382 (2021) 1, 239-275 | 10.1007/s00220-021-03972-9 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a novel way to classify Calabi-Yau threefolds by systematically
studying their infinite volume limits. Each such limit is at infinite distance
in Kahler moduli space and can be classified by an associated limiting mixed
Hodge structure. We then argue that the such structures are labeled by a finite
number of degeneration types that combine into a characteristic degeneration
pattern associated to the underlying Calabi-Yau threefold. These patterns
provide a new invariant way to present crucial information encoded in the
intersection numbers of Calabi-Yau threefolds. For each pattern, we also
introduce a Hasse diagram with vertices representing each, possibly
multi-parameter, decompactification limit and explain how to read off
properties of the Calabi-Yau manifold from this graphical representation. In
particular, we show how it can be used to count elliptic, K3, and nested
fibrations and determine relations of elliptic fibrations under birational
equivalence. We exemplify this for hypersurfaces in toric ambient spaces as
well as for complete intersections in products of projective spaces.
| [
{
"created": "Mon, 7 Oct 2019 18:00:03 GMT",
"version": "v1"
}
] | 2021-12-21 | [
[
"Grimm",
"Thomas W.",
""
],
[
"Ruehle",
"Fabian",
""
],
[
"van de Heisteeg",
"Damian",
""
]
] | We present a novel way to classify Calabi-Yau threefolds by systematically studying their infinite volume limits. Each such limit is at infinite distance in Kahler moduli space and can be classified by an associated limiting mixed Hodge structure. We then argue that the such structures are labeled by a finite number of degeneration types that combine into a characteristic degeneration pattern associated to the underlying Calabi-Yau threefold. These patterns provide a new invariant way to present crucial information encoded in the intersection numbers of Calabi-Yau threefolds. For each pattern, we also introduce a Hasse diagram with vertices representing each, possibly multi-parameter, decompactification limit and explain how to read off properties of the Calabi-Yau manifold from this graphical representation. In particular, we show how it can be used to count elliptic, K3, and nested fibrations and determine relations of elliptic fibrations under birational equivalence. We exemplify this for hypersurfaces in toric ambient spaces as well as for complete intersections in products of projective spaces. |
1708.02220 | Georgios K. Karananas Dr. | Georgios K. Karananas, Mikhail Shaposhnikov | CFT data and spontaneously broken conformal invariance | Journal version---discussion extended, typos corrected, references
added | Phys. Rev. D 97, 045009 (2018) | 10.1103/PhysRevD.97.045009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive consistency conditions for the CFT data, which systems with exact
but spontaneously broken conformal invariance must satisfy.
| [
{
"created": "Mon, 7 Aug 2017 17:37:39 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Feb 2018 18:28:13 GMT",
"version": "v2"
}
] | 2018-02-13 | [
[
"Karananas",
"Georgios K.",
""
],
[
"Shaposhnikov",
"Mikhail",
""
]
] | We derive consistency conditions for the CFT data, which systems with exact but spontaneously broken conformal invariance must satisfy. |
hep-th/0205008 | Changhyun Ahn | Changhyun Ahn | More on Penrose Limit of AdS_4 x Q^{1,1,1} | 13 pp, to appear in PLB | Phys.Lett. B539 (2002) 281-288 | 10.1016/S0370-2693(02)02094-4 | null | hep-th | null | We consider a Penrose limit of AdS_4 x Q^{1,1,1} that provides the pp-wave
geometry equal to the one in the Penrose limit of AdS_4 x S^7. We expect that
there exists a subsector of three dimensional N=2 dual gauge theory which has
enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge
theory with 11-dimensional supergravity KK excitations in the pp-wave geometry
and describe how both the chiral multiplets and semi-conserved multiplets fall
into N=8 supermultiplets.
| [
{
"created": "Wed, 1 May 2002 05:35:32 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Jun 2002 06:12:30 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Ahn",
"Changhyun",
""
]
] | We consider a Penrose limit of AdS_4 x Q^{1,1,1} that provides the pp-wave geometry equal to the one in the Penrose limit of AdS_4 x S^7. We expect that there exists a subsector of three dimensional N=2 dual gauge theory which has enhanced N=8 maximal supersymmetry. We identify operators in the N=2 gauge theory with 11-dimensional supergravity KK excitations in the pp-wave geometry and describe how both the chiral multiplets and semi-conserved multiplets fall into N=8 supermultiplets. |
2007.08982 | Johannes Th\"urigen | Andreas G. A. Pithis, Johannes Th\"urigen | (No) phase transition in tensorial group field theory | various modifications for coherence with the more general and
detailed article arXiv:2009.13588 | null | 10.1016/j.physletb.2021.136215 | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Continuum spacetime is expected to emerge via phase transition in discrete
approaches to quantum gravity. A promising example is tensorial group field
theory but its phase diagram remains an open issue. The results of recent
attempts in terms of the functional renormalization group method remain
inconclusive since they are restricted to truncations of low order. We overcome
this barrier with a local-potential approximation for $\textrm{U}(1)$ tensor
fields at arbitrary rank $r$ focusing on a specific class of so-called
cyclic-melonic interactions. Projecting onto constant field configurations, we
obtain the full set of renormalization-group flow equations. At large cut-offs
we find equivalence with $r-1$ dimensional $\textrm{O}(N)$ scalar field theory
in the large-$N$ limit, modified by a tensor-specific, relatively large
anomalous dimension. However, on small length scales there is equivalence with
the corresponding scalar field theory with vanishing dimension and, thus, no
phase transition. This is confirmed by numerical analysis of the full
non-autonomous equations where we always find symmetry restoration. The
essential reason for this effect are isolated zero modes. This result should
therefore be true for tensor field theories on any compact domain and including
any tensor-invariant interactions. Thus, group field theories with non-compact
degrees of freedom will be necessary to describe a phase transition to
continuum spacetime.
| [
{
"created": "Fri, 17 Jul 2020 13:51:15 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2020 10:25:35 GMT",
"version": "v2"
}
] | 2021-03-24 | [
[
"Pithis",
"Andreas G. A.",
""
],
[
"Thürigen",
"Johannes",
""
]
] | Continuum spacetime is expected to emerge via phase transition in discrete approaches to quantum gravity. A promising example is tensorial group field theory but its phase diagram remains an open issue. The results of recent attempts in terms of the functional renormalization group method remain inconclusive since they are restricted to truncations of low order. We overcome this barrier with a local-potential approximation for $\textrm{U}(1)$ tensor fields at arbitrary rank $r$ focusing on a specific class of so-called cyclic-melonic interactions. Projecting onto constant field configurations, we obtain the full set of renormalization-group flow equations. At large cut-offs we find equivalence with $r-1$ dimensional $\textrm{O}(N)$ scalar field theory in the large-$N$ limit, modified by a tensor-specific, relatively large anomalous dimension. However, on small length scales there is equivalence with the corresponding scalar field theory with vanishing dimension and, thus, no phase transition. This is confirmed by numerical analysis of the full non-autonomous equations where we always find symmetry restoration. The essential reason for this effect are isolated zero modes. This result should therefore be true for tensor field theories on any compact domain and including any tensor-invariant interactions. Thus, group field theories with non-compact degrees of freedom will be necessary to describe a phase transition to continuum spacetime. |
2404.02724 | Hemant Rathi | Hemant Rathi | AdS_2/CFT_1 at finite density and holographic aspects of 2D black holes | 278 pages, 6 figures, Ph.D. Thesis | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In the present thesis, we study various models of 2D dilaton gravity known as
JT gravity coupled with non-trivial gauge interactions (for instance $SU(2)$
Yang-Mills, quartic interactions between $U(1)$ gauge fields and Modmax
interactions etc.). In particular, we investigate the effects of the
non-trivial gauge couplings on the thermal properties of black holes and
wormholes in two dimensions and compute various physical observables like
entropy, free energy, etc. Further, we examine the possibilities of the
Hawking-Page transition and wormhole to black hole phase transition in two
dimensions. In addition, we also study the transformation properties of
boundary stress-energy tensor under the diffeomorphism and $U(1)$ gauge
transformation and hence compute the central charge associated with the 1D
boundary theory.
| [
{
"created": "Wed, 3 Apr 2024 13:25:34 GMT",
"version": "v1"
}
] | 2024-04-04 | [
[
"Rathi",
"Hemant",
""
]
] | In the present thesis, we study various models of 2D dilaton gravity known as JT gravity coupled with non-trivial gauge interactions (for instance $SU(2)$ Yang-Mills, quartic interactions between $U(1)$ gauge fields and Modmax interactions etc.). In particular, we investigate the effects of the non-trivial gauge couplings on the thermal properties of black holes and wormholes in two dimensions and compute various physical observables like entropy, free energy, etc. Further, we examine the possibilities of the Hawking-Page transition and wormhole to black hole phase transition in two dimensions. In addition, we also study the transformation properties of boundary stress-energy tensor under the diffeomorphism and $U(1)$ gauge transformation and hence compute the central charge associated with the 1D boundary theory. |
hep-th/9705125 | Djordje Minic | Djordje Minic | On The Planar Yang-Mills Theory | 11 pages, TeX | null | null | null | hep-th | null | The planar Yang-Mills theory in three spatial dimensions is examined in a
particular representation which explicitly embodies factorization. The
effective planar Yang-Mills theory Hamiltonian is constructed in this
representation.
| [
{
"created": "Fri, 16 May 1997 20:51:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Minic",
"Djordje",
""
]
] | The planar Yang-Mills theory in three spatial dimensions is examined in a particular representation which explicitly embodies factorization. The effective planar Yang-Mills theory Hamiltonian is constructed in this representation. |
hep-th/9510003 | Camillo Imbimbo | C.M. Becchi and C. Imbimbo | Gribov horizon, contact terms and \v{C}ech- De Rham cohomology in 2D
topological gravity | Uses harvmac, 33 pages (big) or 20 pages (little) | Nucl.Phys. B462 (1996) 571-599 | 10.1016/0550-3213(95)00004-6 | CERN-TH/95-242, GEF-TH/95-8 | hep-th | null | We point out that averages of equivariant observables of 2D topological
gravity are not globally defined forms on moduli space, when one uses the
functional measure corresponding to the formulation of the theory as a 2D
superconformal model. This is shown to be a consequence of the existence of the
Gribov horizon {\it and} of the dependence of the observables on derivatives of
the super-ghost field. By requiring the absence of global BRS anomalies, it is
nevertheless possible to associate global forms to correlators of observables
by resorting to the \v{C}ech-De Rham notion of form cohomology. To this end, we
derive and solve the ``descent'' of local Ward identities which characterize
the functional measure. We obtain in this way an explicit expression for the
\v{C}ech-De Rham cocycles corresponding to arbitrary correlators of
observables. This provides the way to compute and understand contact terms in
string theory from first principles.
| [
{
"created": "Mon, 2 Oct 1995 15:04:49 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Becchi",
"C. M.",
""
],
[
"Imbimbo",
"C.",
""
]
] | We point out that averages of equivariant observables of 2D topological gravity are not globally defined forms on moduli space, when one uses the functional measure corresponding to the formulation of the theory as a 2D superconformal model. This is shown to be a consequence of the existence of the Gribov horizon {\it and} of the dependence of the observables on derivatives of the super-ghost field. By requiring the absence of global BRS anomalies, it is nevertheless possible to associate global forms to correlators of observables by resorting to the \v{C}ech-De Rham notion of form cohomology. To this end, we derive and solve the ``descent'' of local Ward identities which characterize the functional measure. We obtain in this way an explicit expression for the \v{C}ech-De Rham cocycles corresponding to arbitrary correlators of observables. This provides the way to compute and understand contact terms in string theory from first principles. |
hep-th/0312028 | Jian Dai | Jian Dai, Yong-Shi Wu | Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes
and Emergent Dimension | LaTeX 2e; 39 pages, 3 eps figures. v2: typos corrected; references
added; identification of certain membrane states added. v3: minor corrections
on membrane states | Nucl.Phys. B684 (2004) 75-99 | 10.1016/j.nuclphysb.2004.02.013 | null | hep-th | null | In this paper we present a discrete, non-perturbative formulation for type
IIB string theory. Being a supersymmetric quiver matrix mechanics model in the
framework of M(atrix) theory, it is a generalization of our previous proposal
of compactification via orbifolding for deconstructed IIA strings. In the
continuum limit, our matrix mechanics becomes a $(2+1)$-dimensional Yang-Mills
theory with 16 supercharges. At the discrete level, we are able to construct
explicitly the solitonic states that correspond to membranes wrapping on the
compactified torus in target space. These states have a manifestly
$SL(2,\integer)$-invariant spectrum with correct membrane tension, and give
rise to an emergent flat dimension when the compactified torus shrinks to
vanishing size.
| [
{
"created": "Tue, 2 Dec 2003 21:02:20 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 06:26:10 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Dec 2003 06:45:03 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Dai",
"Jian",
""
],
[
"Wu",
"Yong-Shi",
""
]
] | In this paper we present a discrete, non-perturbative formulation for type IIB string theory. Being a supersymmetric quiver matrix mechanics model in the framework of M(atrix) theory, it is a generalization of our previous proposal of compactification via orbifolding for deconstructed IIA strings. In the continuum limit, our matrix mechanics becomes a $(2+1)$-dimensional Yang-Mills theory with 16 supercharges. At the discrete level, we are able to construct explicitly the solitonic states that correspond to membranes wrapping on the compactified torus in target space. These states have a manifestly $SL(2,\integer)$-invariant spectrum with correct membrane tension, and give rise to an emergent flat dimension when the compactified torus shrinks to vanishing size. |
1008.5024 | Koenraad Schalm | Koenraad Schalm, Ted van der Aalst | A worldsheet perspective on string inflation | 18 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the constraints of slow-roll inflation on the string
worldsheet. A general gravity-matter set-up is used in which the worldsheet
consists of an abstract CFT coupled to a 3+1 dimensional non-linear sigma
model. The empirical slow-roll parameters are expressed in terms of the beta
functions of operators in the matter/internal CFT and the beta function of the
dilaton. The result confirms that inflation is only sensitive to macroscopic
properties of the matter sector, and that in string theory inflation is a
non-perturbative (in g_s) phenomenon and one must go beyond tree-level string
theory.
| [
{
"created": "Mon, 30 Aug 2010 08:53:57 GMT",
"version": "v1"
}
] | 2010-08-31 | [
[
"Schalm",
"Koenraad",
""
],
[
"van der Aalst",
"Ted",
""
]
] | We investigate the constraints of slow-roll inflation on the string worldsheet. A general gravity-matter set-up is used in which the worldsheet consists of an abstract CFT coupled to a 3+1 dimensional non-linear sigma model. The empirical slow-roll parameters are expressed in terms of the beta functions of operators in the matter/internal CFT and the beta function of the dilaton. The result confirms that inflation is only sensitive to macroscopic properties of the matter sector, and that in string theory inflation is a non-perturbative (in g_s) phenomenon and one must go beyond tree-level string theory. |
1508.07329 | Wolfger Peelaers | Yiwen Pan, Wolfger Peelaers | Ellipsoid partition function from Seiberg-Witten monopoles | 37 pages; v2: minor typos corrected, published version | JHEP 1510 (2015) 183 | 10.1007/JHEP10(2015)183 | YITP-SB-15-31 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Higgs branch localization of N=2 supersymmetric theories placed on
compact Euclidean manifolds. We analyze the resulting localization equations in
detail on the four-sphere and find that in this case the path integral is
dominated by vortex-like configurations as well as singular Seiberg-Witten
monopoles located at the north and south pole. The partition function is
written accordingly.
| [
{
"created": "Fri, 28 Aug 2015 20:05:39 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2015 15:00:40 GMT",
"version": "v2"
}
] | 2015-11-04 | [
[
"Pan",
"Yiwen",
""
],
[
"Peelaers",
"Wolfger",
""
]
] | We study Higgs branch localization of N=2 supersymmetric theories placed on compact Euclidean manifolds. We analyze the resulting localization equations in detail on the four-sphere and find that in this case the path integral is dominated by vortex-like configurations as well as singular Seiberg-Witten monopoles located at the north and south pole. The partition function is written accordingly. |
hep-th/0409266 | Tohru Eguchi | Tohru Eguchi | Modular Bootstrap of Boundary N=2 Liouville Theory | 12 pages, Latex, contribution to the proceedings of strings 2004,
June28-July2, Paris | Comptes Rendus Physique 6 (2005) 209-217 | 10.1016/j.crhy.2004.12.004 | UT-04-28 | hep-th | null | We present our recent studies on the dynamics of boundary N=2 Liouville
theory. We use the representation theory of N=2 superconformal algebra and the
method of modular bootstrap to derive three classes of boundary states of the
N=2 Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes
of N=0,1 Liouville theory while class 3 branes come from U(1) degrees of
freedom. We compare our results with those of SL(2;R)/U(1) supercoset which is
known to be T-dual to N=2 Liouville theory and describes the geometry of 2d
black hole. We find good agreements with known results in SL(2;R)/U(1) theory
obtained by semi-classical analysis using DBI action. We also comment on the
duality of N=2 Liouville theory.
| [
{
"created": "Sat, 25 Sep 2004 07:46:08 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Eguchi",
"Tohru",
""
]
] | We present our recent studies on the dynamics of boundary N=2 Liouville theory. We use the representation theory of N=2 superconformal algebra and the method of modular bootstrap to derive three classes of boundary states of the N=2 Liouville theory. Class 1 and 2 branes are analogues of ZZ and FZZT branes of N=0,1 Liouville theory while class 3 branes come from U(1) degrees of freedom. We compare our results with those of SL(2;R)/U(1) supercoset which is known to be T-dual to N=2 Liouville theory and describes the geometry of 2d black hole. We find good agreements with known results in SL(2;R)/U(1) theory obtained by semi-classical analysis using DBI action. We also comment on the duality of N=2 Liouville theory. |
2010.03226 | Bobby Eka Gunara | Emir Syahreza Fadhilla, Bobby Eka Gunara, Ardian Nata Atmaja | BPS Skyrme Submodels of The Five Dimensional Skyrme Model | 31 pages, 7 figures, major revisions: typos corrected, English
grammar improved to be more readable, some sections recised and extended, and
accepted in JHEP | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In this paper, we search for the BPS skyrmions in some BPS submodels of the
generalized Skyrme model in five-dimensional spacetime using the BPS Lagrangian
method. We focus on the static solutions of the Bogomolny's equations and their
corresponding energies with topological charge $B>0$ is an integer. We consider
two main cases based on the symmetry of the effective Lagrangian of the BPS
submodels, i.e. the spherically symmetric and non-spherically symmetric cases.
For the spherically symmetric case, we find two BPS submodels. The first BPS
submodels consist of a potential term and a term proportional to the square of
the topological current. The second BPS submodels consist of only the Skyrme
term. The second BPS submodel has BPS skyrmions with the same topological
charge $B>1$, but with different energies, that we shall call "topological
degenerate" BPS skyrmions. It also has the usual BPS skyrmions with equal
energies, if the topological charge is a prime number. Another interesting
feature of the BPS skyrmions, with $B>1$, in this BPS submodel, is that these
BPS skyrmions have non-zero pressures in the angular direction. For the
non-spherically symmetric case, there is only one BPS submodel, which is
similar to the first BPS submodel in the spherically symmetric case. We find
that the BPS skyrmions depend on a constant $k$ and for a particular value of
$k$ we obtain the BPS skyrmions of the first BPS submodel in the spherically
symmetric case. The total static energy and the topological charge of these BPS
skyrmions also depend on this constant. We also show that all the results found
in this paper satisfy the full field equations of motions of the corresponding
BPS submodels.
| [
{
"created": "Wed, 7 Oct 2020 07:19:22 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Dec 2020 02:40:30 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jun 2021 03:30:41 GMT",
"version": "v3"
}
] | 2021-07-01 | [
[
"Fadhilla",
"Emir Syahreza",
""
],
[
"Gunara",
"Bobby Eka",
""
],
[
"Atmaja",
"Ardian Nata",
""
]
] | In this paper, we search for the BPS skyrmions in some BPS submodels of the generalized Skyrme model in five-dimensional spacetime using the BPS Lagrangian method. We focus on the static solutions of the Bogomolny's equations and their corresponding energies with topological charge $B>0$ is an integer. We consider two main cases based on the symmetry of the effective Lagrangian of the BPS submodels, i.e. the spherically symmetric and non-spherically symmetric cases. For the spherically symmetric case, we find two BPS submodels. The first BPS submodels consist of a potential term and a term proportional to the square of the topological current. The second BPS submodels consist of only the Skyrme term. The second BPS submodel has BPS skyrmions with the same topological charge $B>1$, but with different energies, that we shall call "topological degenerate" BPS skyrmions. It also has the usual BPS skyrmions with equal energies, if the topological charge is a prime number. Another interesting feature of the BPS skyrmions, with $B>1$, in this BPS submodel, is that these BPS skyrmions have non-zero pressures in the angular direction. For the non-spherically symmetric case, there is only one BPS submodel, which is similar to the first BPS submodel in the spherically symmetric case. We find that the BPS skyrmions depend on a constant $k$ and for a particular value of $k$ we obtain the BPS skyrmions of the first BPS submodel in the spherically symmetric case. The total static energy and the topological charge of these BPS skyrmions also depend on this constant. We also show that all the results found in this paper satisfy the full field equations of motions of the corresponding BPS submodels. |
1808.06626 | Alberto Zaffaroni | Seyed Morteza Hosseini, Itamar Yaakov, Alberto Zaffaroni | Topologically twisted indices in five dimensions and holography | 80 pages. v3: minor corrections, published version | JHEP 1811 (2018) 119 | 10.1007/JHEP11(2018)119 | IPMU18-0133 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a formula for the partition function of five-dimensional
$\mathcal{N}=1$ gauge theories on $\mathcal{M}_4 \times S^1$, topologically
twisted along $\mathcal{M}_4$ in the presence of general background magnetic
fluxes, where $\mathcal{M}_4$ is a toric K\"ahler manifold. The result can be
expressed as a contour integral of the product of copies of the K-theoretic
Nekrasov's partition function, summed over gauge magnetic fluxes. The formula
generalizes to five dimensions the topologically twisted index of three- and
four-dimensional field theories. We analyze the large $N$ limit of the
partition function and some related quantities for two theories:
$\mathcal{N}=2$ SYM and the $\mathrm{USp}(2N)$ theory with $N_f$ flavors and an
antisymmetric matter field. For $\mathbb{P}^1 \times \mathbb{P}^1 \times S^1$,
which can be easily generalized to $\Sigma_{\mathfrak{g}_2} \times
\Sigma_{\mathfrak{g}_1} \times S^1$, we conjecture the form of the relevant
saddle point at large $N$. The resulting partition function for $\mathcal{N}=2$
SYM scales as $N^3$ and is in perfect agreement with the holographic results
for domain walls in AdS$_7 \times S^4$. The large $N$ partition function for
the $\mathrm{USp}(2N)$ theory scales as $N^{5/2}$ and gives a prediction for
the entropy of a class of magnetically charged black holes in massive type IIA
supergravity.
| [
{
"created": "Mon, 20 Aug 2018 18:00:36 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Sep 2018 08:38:38 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Nov 2018 08:16:37 GMT",
"version": "v3"
}
] | 2018-11-28 | [
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Yaakov",
"Itamar",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We provide a formula for the partition function of five-dimensional $\mathcal{N}=1$ gauge theories on $\mathcal{M}_4 \times S^1$, topologically twisted along $\mathcal{M}_4$ in the presence of general background magnetic fluxes, where $\mathcal{M}_4$ is a toric K\"ahler manifold. The result can be expressed as a contour integral of the product of copies of the K-theoretic Nekrasov's partition function, summed over gauge magnetic fluxes. The formula generalizes to five dimensions the topologically twisted index of three- and four-dimensional field theories. We analyze the large $N$ limit of the partition function and some related quantities for two theories: $\mathcal{N}=2$ SYM and the $\mathrm{USp}(2N)$ theory with $N_f$ flavors and an antisymmetric matter field. For $\mathbb{P}^1 \times \mathbb{P}^1 \times S^1$, which can be easily generalized to $\Sigma_{\mathfrak{g}_2} \times \Sigma_{\mathfrak{g}_1} \times S^1$, we conjecture the form of the relevant saddle point at large $N$. The resulting partition function for $\mathcal{N}=2$ SYM scales as $N^3$ and is in perfect agreement with the holographic results for domain walls in AdS$_7 \times S^4$. The large $N$ partition function for the $\mathrm{USp}(2N)$ theory scales as $N^{5/2}$ and gives a prediction for the entropy of a class of magnetically charged black holes in massive type IIA supergravity. |
1303.1409 | Shinji Mukohyama | Shinji Mukohyama | Emergence of time in power-counting renormalizable Riemannian theory of
gravity | 16 pages, no figure; version accepted for publication in PRD | null | 10.1103/PhysRevD.87.085030 | IPMU13-0057 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We suggest a new scenario of gravitation in which gravity at the fundamental
level is described by a Riemannian (i.e. locally Euclidean) theory without the
notion of time. The Lorentzian metric structure and the notion of time emerge
as effective properties at long distances. On the other hand, at short
distances, higher derivative terms compatible with the Riemannian
diffeomorphism become important and the system is described by a power-counting
renormalizable Riemannian theory.
| [
{
"created": "Wed, 6 Mar 2013 18:16:56 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Apr 2013 14:43:19 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Mukohyama",
"Shinji",
""
]
] | We suggest a new scenario of gravitation in which gravity at the fundamental level is described by a Riemannian (i.e. locally Euclidean) theory without the notion of time. The Lorentzian metric structure and the notion of time emerge as effective properties at long distances. On the other hand, at short distances, higher derivative terms compatible with the Riemannian diffeomorphism become important and the system is described by a power-counting renormalizable Riemannian theory. |
1811.05184 | Matthias Berwein | Matthias Berwein, Nora Brambilla, Sungmin Hwang, Antonio Vairo | Poincar\'e invariance in NRQCD and pNRQCD revisited | 56 pages | Phys. Rev. D 99, 094008 (2019) | 10.1103/PhysRevD.99.094008 | TUM-EFT 74/15 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate how fields transform under the Poincar\'e group in
nonrelativistic effective field theories of QCD. In constructing these
transformations, we rely only on symmetries and field redefinitions to limit
the number of allowed terms. By requiring invariance of the action under these
transformations, nontrivial relations between Wilson coefficients for both
nonrelativistic QCD and potential nonrelativistic QCD are derived. We show
explicitly how the Poincar\'e algebra is satisfied, and how this gives
complementary information on the Wilson coefficients. We also briefly discuss
the implications of our results, as well as the possibility of applying this
method to other types of effective field theories.
| [
{
"created": "Tue, 13 Nov 2018 09:50:13 GMT",
"version": "v1"
}
] | 2019-05-15 | [
[
"Berwein",
"Matthias",
""
],
[
"Brambilla",
"Nora",
""
],
[
"Hwang",
"Sungmin",
""
],
[
"Vairo",
"Antonio",
""
]
] | We investigate how fields transform under the Poincar\'e group in nonrelativistic effective field theories of QCD. In constructing these transformations, we rely only on symmetries and field redefinitions to limit the number of allowed terms. By requiring invariance of the action under these transformations, nontrivial relations between Wilson coefficients for both nonrelativistic QCD and potential nonrelativistic QCD are derived. We show explicitly how the Poincar\'e algebra is satisfied, and how this gives complementary information on the Wilson coefficients. We also briefly discuss the implications of our results, as well as the possibility of applying this method to other types of effective field theories. |
hep-th/9911086 | Andrew Billyard | Andrew P. Billyard (1), Alan A. Coley (2), and James E. Lidsey (3)
((1) Queen's University, Kingston, Canada, (2) Dalhousie University, Halifax,
Canada, (2) Queen Mary & Westfield, London, England) | Qualitative Analysis of Isotropic Curvature String Cosmologies | Accepted to Classical and Quantum Gravity, 40 pages, 12 figures (uses
"graphicx" package for figures) | Class.Quant.Grav. 17 (2000) 453-484 | 10.1088/0264-9381/17/2/313 | null | hep-th gr-qc | null | A complete qualitative study of the dynamics of string cosmologies is
presented for the class of isotopic curvature universes. These models are of
Bianchi types I, V and IX and reduce to the general class of
Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy.
A non-trivial two-form potential and cosmological constant terms are included
in the system. In general, the two-form potential and spatial curvature terms
are only dynamically important at intermediate stages of the evolution. In many
of the models, the cosmological constant is important asymptotically and
anisotropy becomes dynamically negligible. There also exist bouncing
cosmologies.
| [
{
"created": "Fri, 12 Nov 1999 06:07:59 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Billyard",
"Andrew P.",
""
],
[
"Coley",
"Alan A.",
""
],
[
"Lidsey",
"James E.",
""
]
] | A complete qualitative study of the dynamics of string cosmologies is presented for the class of isotopic curvature universes. These models are of Bianchi types I, V and IX and reduce to the general class of Friedmann-Robertson-Walker universes in the limit of vanishing shear isotropy. A non-trivial two-form potential and cosmological constant terms are included in the system. In general, the two-form potential and spatial curvature terms are only dynamically important at intermediate stages of the evolution. In many of the models, the cosmological constant is important asymptotically and anisotropy becomes dynamically negligible. There also exist bouncing cosmologies. |
hep-th/9704173 | Miguel Angel Vazquez Mozo | A. Feinstein, Ruth Lazkoz and M.A. Vazquez-Mozo | Closed Inhomogeneous String Cosmologies | 14 pages, TeX harvmac. Some misprints corrected and one reference
added | Phys. Rev. D56 (1997) 5166 | 10.1103/PhysRevD.56.5166 | EHU-FT/9703 | hep-th gr-qc | null | We present a general algorithm which permits to construct solutions in string
cosmology for heterotic and type-IIB superstrings in four dimensions. Using a
chain of transformations applied in sequence: conformal, T-duality and SL(2,R)
rotations, along with the usual generating techniques associated to Geroch
transformations in Einstein frame, we obtain solutions with all relevant
low-energy remnants of the string theory. To exemplify our algorithm we present
an inhomogeneous string cosmology with S^3 topology of spatial sections,
discuss some properties of the solution and point out some subtleties involved
in the concept of homogeneity and isotropy in string cosmology.
| [
{
"created": "Thu, 24 Apr 1997 17:36:19 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 1997 14:15:53 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Feinstein",
"A.",
""
],
[
"Lazkoz",
"Ruth",
""
],
[
"Vazquez-Mozo",
"M. A.",
""
]
] | We present a general algorithm which permits to construct solutions in string cosmology for heterotic and type-IIB superstrings in four dimensions. Using a chain of transformations applied in sequence: conformal, T-duality and SL(2,R) rotations, along with the usual generating techniques associated to Geroch transformations in Einstein frame, we obtain solutions with all relevant low-energy remnants of the string theory. To exemplify our algorithm we present an inhomogeneous string cosmology with S^3 topology of spatial sections, discuss some properties of the solution and point out some subtleties involved in the concept of homogeneity and isotropy in string cosmology. |
2206.10163 | Mulham Hijazi | Mulham Hijazi, Apostolos Pilaftsis | Frictionless UV-finite Instantons in Curved Spacetime | We have found some mathematical inconsistencies which invalidate the
results of the paper | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We identify a new class of UV-complete instanton solutions that describe the
false vacuum\- decay of a real scalar field in a particular curved spacetime
background. To this end, we consider a simple scalar theory with a Coleman
potential and calculate the Euclidean action $S_{\text{E}}$ by assuming an
O(4)-symmetric curved spacetime. The function $a(r)$ dictating the geometry of
spacetime may consistently be chosen to be a constant, thereby eliminating the
drag forces from the equations of motion and ensuring that the gravitational
backgrounds of both the false vacuum and bounce solutions are identical. By
employing standard WKB and Gelfand-Yaglom methods, we compute the corresponding
prefactor due to quantum fluctuations around this frictionless bounce solution
which becomes UV finite after renormalization. The possible consequences of
such frictionless UV-finite instantons are discussed.
| [
{
"created": "Tue, 21 Jun 2022 07:43:14 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2022 15:18:05 GMT",
"version": "v2"
}
] | 2022-07-18 | [
[
"Hijazi",
"Mulham",
""
],
[
"Pilaftsis",
"Apostolos",
""
]
] | We identify a new class of UV-complete instanton solutions that describe the false vacuum\- decay of a real scalar field in a particular curved spacetime background. To this end, we consider a simple scalar theory with a Coleman potential and calculate the Euclidean action $S_{\text{E}}$ by assuming an O(4)-symmetric curved spacetime. The function $a(r)$ dictating the geometry of spacetime may consistently be chosen to be a constant, thereby eliminating the drag forces from the equations of motion and ensuring that the gravitational backgrounds of both the false vacuum and bounce solutions are identical. By employing standard WKB and Gelfand-Yaglom methods, we compute the corresponding prefactor due to quantum fluctuations around this frictionless bounce solution which becomes UV finite after renormalization. The possible consequences of such frictionless UV-finite instantons are discussed. |
2006.03609 | Sylvester Gates Jr. | S. James Gates, Jr., Yangrui Hu, and S.-N. Hazel Mak | Advening to Adynkrafields: Young Tableaux to Component Fields of the
10D, N = 1 Scalar Superfield | 78 pages, 1 figure, LaTeX twice, multiple Young Tableaux equations,
latest version Dynkin Label/component examples | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from higher dimensional adinkras constructed with nodes referenced
by Dynkin Labels, we define "adynkras." These suggest a computationally direct
way to describe the component fields contained within supermultiplets in all
superspaces. We explicitly discuss the cases of ten dimensional superspaces. We
show this is possible by replacing conventional $\theta$-expansions by
expansions over Young Tableaux and component fields by Dynkin Labels. Without
the need to introduce $\sigma$-matrices, this permits rapid passages from
Adynkras $\to$ Young Tableaux $\to$ Component Field Index Structures for both
bosonic and fermionic fields while increasing computational efficiency compared
to the starting point that uses superfields. In order to reach our goal, this
work introduces a new graphical method, "tying rules," that provides an
alternative to Littlewood's 1950 mathematical results which proved branching
rules result from using a specific Schur function series. The ultimate point of
this line of reasoning is the introduction of mathematical expansions based on
Young Tableaux and that are algorithmically superior to superfields. The
expansions are given the name of "adynkrafields" as they combine the concepts
of adinkras and Dynkin Labels.
| [
{
"created": "Fri, 5 Jun 2020 18:02:08 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 2020 01:47:30 GMT",
"version": "v2"
}
] | 2020-07-21 | [
[
"Gates,",
"S. James",
"Jr."
],
[
"Hu",
"Yangrui",
""
],
[
"Mak",
"S. -N. Hazel",
""
]
] | Starting from higher dimensional adinkras constructed with nodes referenced by Dynkin Labels, we define "adynkras." These suggest a computationally direct way to describe the component fields contained within supermultiplets in all superspaces. We explicitly discuss the cases of ten dimensional superspaces. We show this is possible by replacing conventional $\theta$-expansions by expansions over Young Tableaux and component fields by Dynkin Labels. Without the need to introduce $\sigma$-matrices, this permits rapid passages from Adynkras $\to$ Young Tableaux $\to$ Component Field Index Structures for both bosonic and fermionic fields while increasing computational efficiency compared to the starting point that uses superfields. In order to reach our goal, this work introduces a new graphical method, "tying rules," that provides an alternative to Littlewood's 1950 mathematical results which proved branching rules result from using a specific Schur function series. The ultimate point of this line of reasoning is the introduction of mathematical expansions based on Young Tableaux and that are algorithmically superior to superfields. The expansions are given the name of "adynkrafields" as they combine the concepts of adinkras and Dynkin Labels. |
1308.1697 | Henriette Elvang | Henriette Elvang and Yu-tin Huang | Scattering Amplitudes | 269 pages, 134 figures. v2: Typos corrected. This is part of textbook
to be published by Cambridge University Press | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this review is to bridge the gap between a standard course in
quantum field theory and recent fascinating developments in the studies of
on-shell scattering amplitudes. We build up the subject from basic quantum
field theory, starting with Feynman rules for simple processes in Yukawa theory
and QED. The material covered includes spinor helicity formalism, on-shell
recursion relations, superamplitudes and their symmetries, twistors and
momentum twistors, loops and integrands, Grassmannians, polytopes, and
amplitudes in perturbative supergravity as well as 3d Chern-Simons-matter
theories. Multiple examples and exercises are included.
| [
{
"created": "Wed, 7 Aug 2013 20:58:18 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2014 15:47:37 GMT",
"version": "v2"
}
] | 2014-04-14 | [
[
"Elvang",
"Henriette",
""
],
[
"Huang",
"Yu-tin",
""
]
] | The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory, starting with Feynman rules for simple processes in Yukawa theory and QED. The material covered includes spinor helicity formalism, on-shell recursion relations, superamplitudes and their symmetries, twistors and momentum twistors, loops and integrands, Grassmannians, polytopes, and amplitudes in perturbative supergravity as well as 3d Chern-Simons-matter theories. Multiple examples and exercises are included. |
hep-th/0701205 | Mauro Brigante | Mauro Brigante, Guido Festuccia and Hong Liu (MIT, LNS) | Hagedorn divergences and tachyon potential | 36 pages, 13 figures, uses harvmac | JHEP 0706:008,2007 | 10.1088/1126-6708/2007/06/008 | MIT-CTP 3803, NSF- KITP-07-06 | hep-th | null | We consider the critical behavior for a string theory near the Hagedorn
temperature. We use the factorization of the worldsheet to isolate the Hagedorn
divergences at all genera. We show that the Hagedorn divergences can be
resummed by introducing double scaling limits, which smooth the divergences.
The double scaling limits also allow one to extract the effective potential for
the thermal scalar. For a string theory in an asymptotic anti-de Sitter (AdS)
spacetime, the AdS/CFT correspondence implies that the critical Hagedorn
behavior and the relation with the effective potential should also arise from
the boundary Yang-Mills theory. We show that this is indeed the case. In
particular we find that the free energy of a Yang-Mills theory contains
``vortex'' contributions at finite temperature. Yang-Mills Feynman diagrams
with vortices can be identified with contributions from boundaries of moduli
space on the string theory side.
| [
{
"created": "Mon, 22 Jan 2007 23:53:58 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Brigante",
"Mauro",
"",
"MIT, LNS"
],
[
"Festuccia",
"Guido",
"",
"MIT, LNS"
],
[
"Liu",
"Hong",
"",
"MIT, LNS"
]
] | We consider the critical behavior for a string theory near the Hagedorn temperature. We use the factorization of the worldsheet to isolate the Hagedorn divergences at all genera. We show that the Hagedorn divergences can be resummed by introducing double scaling limits, which smooth the divergences. The double scaling limits also allow one to extract the effective potential for the thermal scalar. For a string theory in an asymptotic anti-de Sitter (AdS) spacetime, the AdS/CFT correspondence implies that the critical Hagedorn behavior and the relation with the effective potential should also arise from the boundary Yang-Mills theory. We show that this is indeed the case. In particular we find that the free energy of a Yang-Mills theory contains ``vortex'' contributions at finite temperature. Yang-Mills Feynman diagrams with vortices can be identified with contributions from boundaries of moduli space on the string theory side. |
hep-th/0010114 | J. David Vergara | Rom\'an Linares, Luis F. Urrutia and J. David Vergara | Hamiltonian Solution of the Schwinger Model with Compact U(1) | 34 pages, 3 figures | null | null | ICN-UNAM/00/15 | hep-th | null | The complete exact solution of the Schwinger model with compact gauge group
U(1), in the Hamiltonian approach, is presented . The compactification is
imposed by demanding that the only surviving true electromagnetic degree of
freedom has angular character. Not surprinsingly, this topological condition
defines a version of the Schwinger model which is different from the standard
one, where $c$ takes values on the line . The main consequences are: the
spectra of the zero modes is not degenerated and does not correspond to the
equally spaced harmonic oscillator, both the electric charge and a modified
gauge invariant chiral charge are conserved (nevertheless, the axial-current
anomaly is still present) and, finally, there is no need to introduce a
$\theta$-vacuum. A comparison with the results of the standard Schwinger model
is pointed out along the text.
| [
{
"created": "Fri, 13 Oct 2000 23:44:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Linares",
"Román",
""
],
[
"Urrutia",
"Luis F.",
""
],
[
"Vergara",
"J. David",
""
]
] | The complete exact solution of the Schwinger model with compact gauge group U(1), in the Hamiltonian approach, is presented . The compactification is imposed by demanding that the only surviving true electromagnetic degree of freedom has angular character. Not surprinsingly, this topological condition defines a version of the Schwinger model which is different from the standard one, where $c$ takes values on the line . The main consequences are: the spectra of the zero modes is not degenerated and does not correspond to the equally spaced harmonic oscillator, both the electric charge and a modified gauge invariant chiral charge are conserved (nevertheless, the axial-current anomaly is still present) and, finally, there is no need to introduce a $\theta$-vacuum. A comparison with the results of the standard Schwinger model is pointed out along the text. |
hep-th/0403005 | Nicholas Warner | Krzysztof Pilch and Nicholas P. Warner | N=1 supersymmetric solutions of IIB supergravity | 22 pages; harvmac | null | null | UB-ECM-PF-04/04; USC-04/02 | hep-th | null | We present a new class of "dielectric" N=1 supersymmetric solutions of IIB
supergravity. This class contains not just the ten-dimensional lift of the
Leigh-Strassler renormalization group flow, but also the Coulomb branch
deformation of this flow in which the branes are allowed to spread in a
radially symmetric manner, preserving the SU(2) global symmetry. We use the
"algebraic Killing spinor" technique, illustrating how it can be adapted to N=1
supersymmetric flows.
| [
{
"created": "Sat, 28 Feb 2004 09:31:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pilch",
"Krzysztof",
""
],
[
"Warner",
"Nicholas P.",
""
]
] | We present a new class of "dielectric" N=1 supersymmetric solutions of IIB supergravity. This class contains not just the ten-dimensional lift of the Leigh-Strassler renormalization group flow, but also the Coulomb branch deformation of this flow in which the branes are allowed to spread in a radially symmetric manner, preserving the SU(2) global symmetry. We use the "algebraic Killing spinor" technique, illustrating how it can be adapted to N=1 supersymmetric flows. |
1101.5315 | Daniel Blaschke | Daniel N. Blaschke | Special Geometries Emerging from Yang-Mills Type Matrix Models | 10 pages, 2 figures; talk given at the Corfu Summer Institute on
Elementary Particles and Physics - Workshop on Non Commutative Field Theory
and Gravity, September 8-12, 2010, Corfu/Greece | PoS CNCFG2010:011,2011 | 10.22323/1.127.0011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I review some recent results which demonstrate how various geometries, such
as Schwarzschild and Reissner-Nordstroem, can emerge from Yang-Mills type
matrix models with branes. Furthermore, explicit embeddings of these branes as
well as appropriate Poisson structures and star-products which determine the
non-commutativity of space-time are provided. These structures are motivated by
higher order terms in the effective matrix model action which semi-classically
lead to an Einstein-Hilbert type action.
| [
{
"created": "Thu, 27 Jan 2011 15:40:15 GMT",
"version": "v1"
}
] | 2018-09-06 | [
[
"Blaschke",
"Daniel N.",
""
]
] | I review some recent results which demonstrate how various geometries, such as Schwarzschild and Reissner-Nordstroem, can emerge from Yang-Mills type matrix models with branes. Furthermore, explicit embeddings of these branes as well as appropriate Poisson structures and star-products which determine the non-commutativity of space-time are provided. These structures are motivated by higher order terms in the effective matrix model action which semi-classically lead to an Einstein-Hilbert type action. |
hep-th/9212099 | Behrndt | K. Behrndt | The Tachyon in a Linear Expanding Universe | 10 pages, Latex, DESY 92-179 | Phys.Lett. B301 (1993) 29-36 | 10.1016/0370-2693(93)90716-U | null | hep-th | null | We investigate the tachyon coupling in a static Robertson--Walker like metric
background. For a tachyon and dilaton field which are only time dependent one
can rewrite this model as a SU(2) Wess--Zumino--Witten model and a scalar
Feigin--Fuchs theory. In this case the restriction to a real exponential
tachyon field fixes the level $k$ of the Wess--Zumino--Witten model. For a
spatially dependent tachyon the world radius and the dilaton are quantized in
terms of $k$ and the tachyon by two integers, i.e. one has a discrete set of
fields. The spatial part of the tachyon is given by Chebyshev polynomials of
the second kind. An investigation of the tachyon mass shows that the tachyon is
massless for $k=1$.
| [
{
"created": "Wed, 16 Dec 1992 10:50:16 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Behrndt",
"K.",
""
]
] | We investigate the tachyon coupling in a static Robertson--Walker like metric background. For a tachyon and dilaton field which are only time dependent one can rewrite this model as a SU(2) Wess--Zumino--Witten model and a scalar Feigin--Fuchs theory. In this case the restriction to a real exponential tachyon field fixes the level $k$ of the Wess--Zumino--Witten model. For a spatially dependent tachyon the world radius and the dilaton are quantized in terms of $k$ and the tachyon by two integers, i.e. one has a discrete set of fields. The spatial part of the tachyon is given by Chebyshev polynomials of the second kind. An investigation of the tachyon mass shows that the tachyon is massless for $k=1$. |
hep-th/9905181 | Jorgen Rasmussen | Jorgen Rasmussen | Superconformal Algebras on the Boundary of AdS_3 | Replaced by expanded version, hep-th/0002188 | JHEP 9907:017,1999 | 10.1088/1126-6708/1999/07/017 | null | hep-th math.QA | null | See hep-th/0002188
| [
{
"created": "Tue, 25 May 1999 19:49:28 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2000 22:56:39 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Rasmussen",
"Jorgen",
""
]
] | See hep-th/0002188 |
hep-th/0309221 | Guido Cognola | Guido Cognola and Sergio Zerbini | Effective action for scalar fields and generalised zeta-function
regularisation | Latex, 16 pages, no figures; Latex mistakes corrected; accepted for
publication in Physical Review D | Phys.Rev. D69 (2004) 024004 | 10.1103/PhysRevD.69.024004 | null | hep-th | null | Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW)
spacetime, the one-loop effective action for a scalar field defined in the
ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite
volume, non-compact, hyperbolic spatial section, is investigated by a
generalisation of zeta-function regularisation. It is shown that additional
divergences may appear at one-loop level. The one-loop renormalisability of the
model is discussed and making use of a generalisation of zeta-function
regularisation, the one-loop renormalisation group equations are derived.
| [
{
"created": "Wed, 24 Sep 2003 07:12:10 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2003 11:59:24 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Cognola",
"Guido",
""
],
[
"Zerbini",
"Sergio",
""
]
] | Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite volume, non-compact, hyperbolic spatial section, is investigated by a generalisation of zeta-function regularisation. It is shown that additional divergences may appear at one-loop level. The one-loop renormalisability of the model is discussed and making use of a generalisation of zeta-function regularisation, the one-loop renormalisation group equations are derived. |
1406.6684 | Philip Tanedo | Csaba Cs\'aki, Mario Martone, Yuri Shirman, Philip Tanedo, John
Terning | Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter | 18 pages + appendices and references, 3 figures; v2: references
corrected and updated | null | 10.1007/JHEP08(2014)141 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the IR dynamics of N=2 SUSY gauge theories in 3D with
antisymmetric matter. The presence of the antisymmetric fields leads to further
splitting of the Coulomb branch. Counting zero modes in the instanton
background suggests that more than a single direction along the Coulomb branch
may remain unlifted. We examine the case of SU(4) with one or two antisymmetric
fields and various flavors in detail. Using the results for the corresponding
4D theories, we find the IR dynamics of the 3D cases via compactification and a
real mass deformation. We find that for the s-confining case with two
antisymmetric fields, a second unlifted Coulomb branch direction indeed appears
in the low-energy dynamics. We present several non-trivial consistency checks
to establish the validity of these results. We also comment on the expected
structure of general s-confining theories in 3D, which might involve several
unlifted Coulomb branch directions.
| [
{
"created": "Wed, 25 Jun 2014 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jul 2014 16:05:13 GMT",
"version": "v2"
}
] | 2015-06-22 | [
[
"Csáki",
"Csaba",
""
],
[
"Martone",
"Mario",
""
],
[
"Shirman",
"Yuri",
""
],
[
"Tanedo",
"Philip",
""
],
[
"Terning",
"John",
""
]
] | We investigate the IR dynamics of N=2 SUSY gauge theories in 3D with antisymmetric matter. The presence of the antisymmetric fields leads to further splitting of the Coulomb branch. Counting zero modes in the instanton background suggests that more than a single direction along the Coulomb branch may remain unlifted. We examine the case of SU(4) with one or two antisymmetric fields and various flavors in detail. Using the results for the corresponding 4D theories, we find the IR dynamics of the 3D cases via compactification and a real mass deformation. We find that for the s-confining case with two antisymmetric fields, a second unlifted Coulomb branch direction indeed appears in the low-energy dynamics. We present several non-trivial consistency checks to establish the validity of these results. We also comment on the expected structure of general s-confining theories in 3D, which might involve several unlifted Coulomb branch directions. |
2203.03362 | Pramod Shukla | George K. Leontaris, Pramod Shukla | Stabilising all K\"ahler moduli in perturbative LVS | 24 pages; v2: 25 pages, minor improvements, typos fixed and
references added; v3: 29 pages, section 6.2 consolidated with T-brane
uplifting, typos fixed and references added, JHEP version | JHEP 07 (2022) 047 | 10.1007/JHEP07(2022)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we investigate the moduli stabilisation problem and the
requirements for de Sitter vacua within the framework of type IIB string
theory. Using perturbative effects arising from the various sources such as
$\alpha^\prime$ corrections, logarithmic as well as KK and winding-type
string-loop corrections along with the higher derivative $F^4$-contributions,
we present a moduli stabilisation scheme in which the overall volume is
realised at exponentially large values such that $\langle {\cal V} \rangle
\simeq e^{a/g_s^2}$ in the weak coupling regime, where $a$ is a parameter given
as $a = \frac{\zeta[3]}{2 \zeta[2]} \simeq 0.365381$. We also present a
concrete global construction using a $K3$-fibred CY threefold with $h^{1,1} =3$
which shares many of its properties with those of the standard toroidal case,
and subsequently generates the appropriate corrections needed to fix all the
three K\"ahler moduli at the perturbative level. We further discuss whether de
Sitter vacua can be ensured through appropriate contributions of uplifting
terms in the effective potential.
| [
{
"created": "Mon, 7 Mar 2022 13:12:00 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2022 22:01:50 GMT",
"version": "v2"
},
{
"created": "Sun, 12 Jun 2022 12:17:45 GMT",
"version": "v3"
}
] | 2022-07-11 | [
[
"Leontaris",
"George K.",
""
],
[
"Shukla",
"Pramod",
""
]
] | In this work we investigate the moduli stabilisation problem and the requirements for de Sitter vacua within the framework of type IIB string theory. Using perturbative effects arising from the various sources such as $\alpha^\prime$ corrections, logarithmic as well as KK and winding-type string-loop corrections along with the higher derivative $F^4$-contributions, we present a moduli stabilisation scheme in which the overall volume is realised at exponentially large values such that $\langle {\cal V} \rangle \simeq e^{a/g_s^2}$ in the weak coupling regime, where $a$ is a parameter given as $a = \frac{\zeta[3]}{2 \zeta[2]} \simeq 0.365381$. We also present a concrete global construction using a $K3$-fibred CY threefold with $h^{1,1} =3$ which shares many of its properties with those of the standard toroidal case, and subsequently generates the appropriate corrections needed to fix all the three K\"ahler moduli at the perturbative level. We further discuss whether de Sitter vacua can be ensured through appropriate contributions of uplifting terms in the effective potential. |
2405.08058 | Thomas Vandermeulen | Daniel Robbins, Thomas Vandermeulen | The Fusion Categorical Diagonal | 25 pages, 4 appendices | null | null | null | hep-th cond-mat.str-el math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define a Frobenius algebra over fusion categories of the form
Rep$(G)\boxtimes$Rep$(G)$ which generalizes the diagonal subgroup of $G\times
G$. This allows us to extend field theoretical constructions which depend on
the existence of a diagonal subgroup to non-invertible symmetries. We give
explicit calculations for theories with Rep$(S_3)\boxtimes$Rep$(S_3)$ symmetry,
applying the results to gauging topological quantum field theories which carry
this non-invertible symmetry. Along the way, we also discuss how Morita
equivalence is implemented for algebras in symmetry categories.
| [
{
"created": "Mon, 13 May 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-05-15 | [
[
"Robbins",
"Daniel",
""
],
[
"Vandermeulen",
"Thomas",
""
]
] | We define a Frobenius algebra over fusion categories of the form Rep$(G)\boxtimes$Rep$(G)$ which generalizes the diagonal subgroup of $G\times G$. This allows us to extend field theoretical constructions which depend on the existence of a diagonal subgroup to non-invertible symmetries. We give explicit calculations for theories with Rep$(S_3)\boxtimes$Rep$(S_3)$ symmetry, applying the results to gauging topological quantum field theories which carry this non-invertible symmetry. Along the way, we also discuss how Morita equivalence is implemented for algebras in symmetry categories. |
1207.3800 | Alberto Salvio | Alberto Salvio | Holographic Superfluids and Superconductors in Dilaton-Gravity | 20 pages, 8 figures; few comments and references added, a typo fixed
in the equation below eq. (16), article accepted for publication in JHEP | null | 10.1007/JHEP09(2012)134 | null | hep-th cond-mat.str-el cond-mat.supr-con gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate holographic models of superfluids and superconductors in which
the gravitational theory includes a dilatonic field. Dilaton extensions are
interesting as they allow us to obtain a better description of low temperature
condensed matter systems. We focus on asymptotically AdS black hole
configurations, which are dual to field theories with conformal ultraviolet
behavior. A nonvanishing value of the dilaton breaks scale invariance in the
infrared and is therefore compatible with the normal phase being insulating (or
a solid in the fluid mechanical interpretation); indeed we find that this is
the case at low temperatures and if one appropriately chooses the parameters of
the model. Not only the superfluid phase transitions, but also the response to
external gauge fields is analyzed. This allows us to study, among other things,
the vortex phase and to show that these holographic superconductors are also of
Type II. However, at low temperatures they can behave in a qualitatively
different way compared to their analogues without the dilaton: the critical
magnetic fields and the penetration depth can remain finite in the small T/T_c
limit.
| [
{
"created": "Mon, 16 Jul 2012 20:00:02 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Sep 2012 07:04:59 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Salvio",
"Alberto",
""
]
] | We investigate holographic models of superfluids and superconductors in which the gravitational theory includes a dilatonic field. Dilaton extensions are interesting as they allow us to obtain a better description of low temperature condensed matter systems. We focus on asymptotically AdS black hole configurations, which are dual to field theories with conformal ultraviolet behavior. A nonvanishing value of the dilaton breaks scale invariance in the infrared and is therefore compatible with the normal phase being insulating (or a solid in the fluid mechanical interpretation); indeed we find that this is the case at low temperatures and if one appropriately chooses the parameters of the model. Not only the superfluid phase transitions, but also the response to external gauge fields is analyzed. This allows us to study, among other things, the vortex phase and to show that these holographic superconductors are also of Type II. However, at low temperatures they can behave in a qualitatively different way compared to their analogues without the dilaton: the critical magnetic fields and the penetration depth can remain finite in the small T/T_c limit. |
1001.3390 | Christoffer Petersson | Christoffer Petersson, Pablo Soler, Angel M. Uranga | D-instanton and polyinstanton effects from type I' D0-brane loops | 37 pages, 2 figures, clarifications and references added | JHEP 1006:089,2010 | 10.1007/JHEP06(2010)089 | IFT-UAM/CSIC-10-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study non-perturbative D(-1)-instanton corrections to quartic gauge and
curvature couplings in 8d type IIB orientifolds, in terms of a one-loop
computation of BPS D0-branes in T-dual type I' models. The complete
perturbative and non-perturbative results are determined by the BPS
multiplicities of perturbative open strings and D0-brane bound states in the 9d
type I' theory. Its modular properties admit a geometric interpretation by
lifting to Horava-Witten theory. We use the type I' viewpoint to motivate a
proper interpretation of 8d and 4d polyinstanton effects, consistent with
heterotic - type II orientifold duality.
| [
{
"created": "Tue, 19 Jan 2010 19:40:36 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Jun 2010 11:40:17 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Petersson",
"Christoffer",
""
],
[
"Soler",
"Pablo",
""
],
[
"Uranga",
"Angel M.",
""
]
] | We study non-perturbative D(-1)-instanton corrections to quartic gauge and curvature couplings in 8d type IIB orientifolds, in terms of a one-loop computation of BPS D0-branes in T-dual type I' models. The complete perturbative and non-perturbative results are determined by the BPS multiplicities of perturbative open strings and D0-brane bound states in the 9d type I' theory. Its modular properties admit a geometric interpretation by lifting to Horava-Witten theory. We use the type I' viewpoint to motivate a proper interpretation of 8d and 4d polyinstanton effects, consistent with heterotic - type II orientifold duality. |
hep-th/0702124 | Theodore A. Jacobson | Christopher Eling, Brendan Z. Foster, Ted Jacobson, and Aron C. Wall | Lorentz violation and perpetual motion | 5 pages, 1 figure; v2. Added reference, and a remark concerning the
assumption that the entropy radiated in fields responsible for Lorentz
symmetry breaking is negligible | Phys.Rev.D75:101502,2007 | 10.1103/PhysRevD.75.101502 | null | hep-th gr-qc | null | We show that any Lorentz violating theory with two or more propagation speeds
is in conflict with the generalized second law of black hole thermodynamics. We
do this by identifying a classical energy-extraction method, analogous to the
Penrose process, which would decrease the black hole entropy. Although the
usual definitions of black hole entropy are ambiguous in this context, we
require only very mild assumptions about its dependence on the mass. This
extends the result found by Dubovsky and Sibiryakov, which uses the Hawking
effect and applies only if the fields with different propagation speeds
interact just through gravity. We also point out instabilities that could
interfere with their black hole {\it perpetuum mobile}, but argue that these
can be neglected if the black hole mass is sufficiently large.
| [
{
"created": "Thu, 15 Feb 2007 21:04:20 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2007 22:51:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Eling",
"Christopher",
""
],
[
"Foster",
"Brendan Z.",
""
],
[
"Jacobson",
"Ted",
""
],
[
"Wall",
"Aron C.",
""
]
] | We show that any Lorentz violating theory with two or more propagation speeds is in conflict with the generalized second law of black hole thermodynamics. We do this by identifying a classical energy-extraction method, analogous to the Penrose process, which would decrease the black hole entropy. Although the usual definitions of black hole entropy are ambiguous in this context, we require only very mild assumptions about its dependence on the mass. This extends the result found by Dubovsky and Sibiryakov, which uses the Hawking effect and applies only if the fields with different propagation speeds interact just through gravity. We also point out instabilities that could interfere with their black hole {\it perpetuum mobile}, but argue that these can be neglected if the black hole mass is sufficiently large. |
2001.05975 | Leslaw Rachwal | Ravi Mistry, Aleksandr Pinzul, and Les{\l}aw Rachwa{\l} | Spectral action approach to higher derivative gravity | typos and small mistakes corrected, references added, journal version | Eur. Phys. J. C 80, no. 3, 266 (2020) | 10.1140/epjc/s10052-020-7805-1 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the spectral action approach to higher derivative gravity. The work
focuses on the classical aspects. We derive the complete and simplified form of
the purely gravitational action up to the 6-derivative terms. We also derive
the equivalent forms of the action, which might prove useful in different
applications, namely Riemann- and Weyl-dominated representations. The spectral
action provides a rather rigid structure of the higher derivative part of the
theory. We discuss the possible consequences of this rigidness. As one of the
applications, we check whether the conformal backgrounds are preferred in some
way on the classical level, with the conclusion that at this level, there is no
obvious reason for such a preference, the space $S^1 \times S^3$ studied in
earlier works being a special case. Some other possible properties of the
higher derivative gravity given by the spectral action are briefly discussed.
| [
{
"created": "Thu, 16 Jan 2020 18:18:06 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 2020 11:41:05 GMT",
"version": "v2"
}
] | 2020-04-03 | [
[
"Mistry",
"Ravi",
""
],
[
"Pinzul",
"Aleksandr",
""
],
[
"Rachwał",
"Lesław",
""
]
] | We study the spectral action approach to higher derivative gravity. The work focuses on the classical aspects. We derive the complete and simplified form of the purely gravitational action up to the 6-derivative terms. We also derive the equivalent forms of the action, which might prove useful in different applications, namely Riemann- and Weyl-dominated representations. The spectral action provides a rather rigid structure of the higher derivative part of the theory. We discuss the possible consequences of this rigidness. As one of the applications, we check whether the conformal backgrounds are preferred in some way on the classical level, with the conclusion that at this level, there is no obvious reason for such a preference, the space $S^1 \times S^3$ studied in earlier works being a special case. Some other possible properties of the higher derivative gravity given by the spectral action are briefly discussed. |
hep-th/0311018 | Hong Lu | H. Lu, C.N. Pope and K.S. Stelle | Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String
Theory | Latex, 49 pages. References added, typos corrected, and discussion
and conclusions extended | JHEP 0407:072,2004 | 10.1088/1126-6708/2004/07/072 | null | hep-th | null | At the leading order, the low-energy effective field equations in string
theory admit solutions of the form of products of Minkowski spacetime and a
Ricci-flat Calabi-Yau space. The equations of motion receive corrections at
higher orders in \alpha', which imply that the Ricci-flat Calabi-Yau space is
modified. In an appropriate choice of scheme, the Calabi-Yau space remains
Kahler, but is no longer Ricci-flat. We discuss the nature of these corrections
at order {\alpha'}^3, and consider the deformations of all the known
cohomogeneity one non-compact Kahler metrics in six and eight dimensions. We do
this by deriving the first-order equations associated with the modified
Killing-spinor conditions, and we thereby obtain the modified supersymmetric
solutions. We also give a detailed discussion of the boundary terms for the
Euler complex in six and eight dimensions, and apply the results to all the
cohomogeneity one examples.
| [
{
"created": "Mon, 3 Nov 2003 23:39:53 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2004 22:57:45 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Stelle",
"K. S.",
""
]
] | At the leading order, the low-energy effective field equations in string theory admit solutions of the form of products of Minkowski spacetime and a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders in \alpha', which imply that the Ricci-flat Calabi-Yau space is modified. In an appropriate choice of scheme, the Calabi-Yau space remains Kahler, but is no longer Ricci-flat. We discuss the nature of these corrections at order {\alpha'}^3, and consider the deformations of all the known cohomogeneity one non-compact Kahler metrics in six and eight dimensions. We do this by deriving the first-order equations associated with the modified Killing-spinor conditions, and we thereby obtain the modified supersymmetric solutions. We also give a detailed discussion of the boundary terms for the Euler complex in six and eight dimensions, and apply the results to all the cohomogeneity one examples. |
1403.7693 | Bowen Xiao | Yoshitaka Hatta, Jorge Noronha, Bo-Wen Xiao | A systematic study of exact solutions in second-order conformal
hydrodynamics | 32 pages, 2 figures; 2nd version with some typo corrected | Phys. Rev. D 89, 114011 (2014) | 10.1103/PhysRevD.89.114011 | YITP-14-21 | hep-th hep-ph nucl-th physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we present the details of our previous work on exact solutions
in second-order conformal hydrodynamics together with a number of new solutions
found by mapping Minkowski space onto various curved spacetimes such as anti-de
Sitter space and hyperbolic space. We analytically show how the solutions of
ideal hydrodynamics are modified by the second-order effects including
vorticity. We also find novel boost-invariant exact solutions which exist only
in second-order hydrodynamics and have an unusual dependence on the proper
time.
| [
{
"created": "Sun, 30 Mar 2014 02:29:43 GMT",
"version": "v1"
},
{
"created": "Fri, 23 May 2014 02:49:44 GMT",
"version": "v2"
}
] | 2014-06-18 | [
[
"Hatta",
"Yoshitaka",
""
],
[
"Noronha",
"Jorge",
""
],
[
"Xiao",
"Bo-Wen",
""
]
] | In this paper we present the details of our previous work on exact solutions in second-order conformal hydrodynamics together with a number of new solutions found by mapping Minkowski space onto various curved spacetimes such as anti-de Sitter space and hyperbolic space. We analytically show how the solutions of ideal hydrodynamics are modified by the second-order effects including vorticity. We also find novel boost-invariant exact solutions which exist only in second-order hydrodynamics and have an unusual dependence on the proper time. |
hep-th/0110193 | Steven S. Gubser | Steven S. Gubser | On non-uniform black branes | 29 pages, latex. v2: numerics improved, small errors corrected,
conclusions unchanged | Class.Quant.Grav. 19 (2002) 4825-4844 | 10.1088/0264-9381/19/19/303 | CALT-68-2351, CITUSC/01-035 | hep-th | null | Certain black branes are unstable toward fluctuations that lead to
non-uniform mass distributions. We study static, non-uniform solutions that
differ only perturbatively from uniform ones. For uncharged black strings in
five dimensions, we find evidence of a first order transition from uniform to
non-uniform solutions.
| [
{
"created": "Sat, 20 Oct 2001 23:54:40 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2002 20:18:13 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gubser",
"Steven S.",
""
]
] | Certain black branes are unstable toward fluctuations that lead to non-uniform mass distributions. We study static, non-uniform solutions that differ only perturbatively from uniform ones. For uncharged black strings in five dimensions, we find evidence of a first order transition from uniform to non-uniform solutions. |
1911.11168 | Tom Steudtner | Andrew D. Bond, Daniel F. Litim, Tom Steudtner | Asymptotic safety with Majorana fermions and new large N equivalences | Typos in Tab.1 and eq. (11) removed | Phys. Rev. D 101, 045006 (2020) | 10.1103/PhysRevD.101.045006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Majorana fermions and elementary mesons we find new massless quantum
field theories with weakly interacting ultraviolet fixed points. We also find
new classes of large N equivalences amongst SU, SO and Sp gauge theories with
different types of matter fields and Yukawa interactions. Results include a
triality of asymptotically safe theories and dualities between asymptotically
free matter-gauge theories with identical fixed points, phase diagrams, and
scaling exponents. Implications for conformal field theory and orbifold
reductions are indicated.
| [
{
"created": "Mon, 25 Nov 2019 19:06:06 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2019 16:53:59 GMT",
"version": "v2"
}
] | 2020-02-19 | [
[
"Bond",
"Andrew D.",
""
],
[
"Litim",
"Daniel F.",
""
],
[
"Steudtner",
"Tom",
""
]
] | Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakly interacting ultraviolet fixed points. We also find new classes of large N equivalences amongst SU, SO and Sp gauge theories with different types of matter fields and Yukawa interactions. Results include a triality of asymptotically safe theories and dualities between asymptotically free matter-gauge theories with identical fixed points, phase diagrams, and scaling exponents. Implications for conformal field theory and orbifold reductions are indicated. |
0910.4602 | Miguel Paulos | Miguel F. Paulos | Transport coefficients, membrane couplings and universality at
extremality | 29 pages, v2: Small text changes for clarity, typos corrected | JHEP 1002:067,2010 | 10.1007/JHEP02(2010)067 | DAMTP-2009-70 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an efficient method for computing the zero frequency limit of
transport coefficients in strongly coupled field theories described
holographically by higher derivative gravity theories. Hydrodynamic parameters
such as shear viscosity and conductivity can be obtained by computing residues
of poles of the off-shell lagrangian density. We clarify in which sense these
coefficients can be thought of as effective couplings at the horizon, and
present analytic, Wald-like formulae for the shear viscosity and conductivity
in a large class of general higher derivative lagrangians. We show how to apply
our methods to systems at zero temperature but finite chemical potential. Our
results imply that such theories satisfy $\eta/s=1/4\pi$ universally in the
Einstein-Maxwell sector. Likewise, the zero frequency limit of the real part of
the conductivity for such systems is shown to be universally zero, and we
conjecture that higher derivative corrections in this sector do not modify this
result to all orders in perturbation theory.
| [
{
"created": "Fri, 23 Oct 2009 22:39:10 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Nov 2009 15:45:12 GMT",
"version": "v2"
}
] | 2010-02-23 | [
[
"Paulos",
"Miguel F.",
""
]
] | We present an efficient method for computing the zero frequency limit of transport coefficients in strongly coupled field theories described holographically by higher derivative gravity theories. Hydrodynamic parameters such as shear viscosity and conductivity can be obtained by computing residues of poles of the off-shell lagrangian density. We clarify in which sense these coefficients can be thought of as effective couplings at the horizon, and present analytic, Wald-like formulae for the shear viscosity and conductivity in a large class of general higher derivative lagrangians. We show how to apply our methods to systems at zero temperature but finite chemical potential. Our results imply that such theories satisfy $\eta/s=1/4\pi$ universally in the Einstein-Maxwell sector. Likewise, the zero frequency limit of the real part of the conductivity for such systems is shown to be universally zero, and we conjecture that higher derivative corrections in this sector do not modify this result to all orders in perturbation theory. |
1603.04165 | Takahiro Hayashinaka | Takahiro Hayashinaka, Tomohiro Fujita, and Jun'ichi Yokoyama | Fermionic Schwinger effect and induced current in de Sitter space | 21 pages, 2 figures | null | 10.1088/1475-7516/2016/07/010 | RESCEU-12/16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore Schwinger effect of spin 1/2 charged particles with static
electric field in 1+3 dimensional de Sitter spacetime. We analytically
calculate the vacuum expectation value of the spinor current which is induced
by the produced particles in the electric field. The renormalization is
performed with the adiabatic subtraction scheme. We find that the current
becomes negative, namely it flows in the direction opposite to the electric
field, if the electric field is weaker than a certain threshold value depending
on the fermion mass, which is also known to happen in the case of scalar
charged particles in 1+3 de Sitter spacetime. Contrary to the scalar case,
however, the IR hyperconductivity is absent in the spinor case.
| [
{
"created": "Mon, 14 Mar 2016 08:52:17 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 2016 02:24:43 GMT",
"version": "v2"
}
] | 2016-07-20 | [
[
"Hayashinaka",
"Takahiro",
""
],
[
"Fujita",
"Tomohiro",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] | We explore Schwinger effect of spin 1/2 charged particles with static electric field in 1+3 dimensional de Sitter spacetime. We analytically calculate the vacuum expectation value of the spinor current which is induced by the produced particles in the electric field. The renormalization is performed with the adiabatic subtraction scheme. We find that the current becomes negative, namely it flows in the direction opposite to the electric field, if the electric field is weaker than a certain threshold value depending on the fermion mass, which is also known to happen in the case of scalar charged particles in 1+3 de Sitter spacetime. Contrary to the scalar case, however, the IR hyperconductivity is absent in the spinor case. |
2001.01478 | Julio Oliva | Nicolas Caceres, Jose Figueroa, Julio Oliva, Marcelo Oyarzo, Ricardo
Stuardo | Quadratic gravity and conformally coupled scalar fields | 17 pages, 1 figure | null | 10.1007/JHEP04(2020)157 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct black hole solutions in four-dimensional quadratic gravity,
supported by a scalar field conformally coupled to quadratic terms in the
curvature. The conformal matter Lagrangian is constructed with powers of traces
of a conformally covariant tensor, which is defined in terms of the metric and
a scalar field, and has the symmetries of the Riemann tensor. We find exact,
neutral and charged, topological black hole solutions of this theory when the
Weyl squared term is absent from the action functional. Including terms beyond
quadratic order on the conformally covariant tensor, allows to have
asymptotically de Sitter solutions, with a potential that is bounded from
below. For generic values of the couplings we also show that static black hole
solutions must have a constant Ricci scalar, and provide an analysis of the
possible asymptotic behavior of both, the metric as well as the scalar field in
the asymptotically AdS case, when the solutions match those of general
relativity in vacuum at infinity. In this frame, the spacetime fulfils standard
asymptotically AdS boundary conditions, and in spite of the non-standard
couplings between the curvature and the scalar field, there is a family of
black hole solutions in AdS that can be interpreted as localized objects. We
also provide further comments on the extension of these results to higher
dimensions.
| [
{
"created": "Mon, 6 Jan 2020 10:52:13 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Caceres",
"Nicolas",
""
],
[
"Figueroa",
"Jose",
""
],
[
"Oliva",
"Julio",
""
],
[
"Oyarzo",
"Marcelo",
""
],
[
"Stuardo",
"Ricardo",
""
]
] | We construct black hole solutions in four-dimensional quadratic gravity, supported by a scalar field conformally coupled to quadratic terms in the curvature. The conformal matter Lagrangian is constructed with powers of traces of a conformally covariant tensor, which is defined in terms of the metric and a scalar field, and has the symmetries of the Riemann tensor. We find exact, neutral and charged, topological black hole solutions of this theory when the Weyl squared term is absent from the action functional. Including terms beyond quadratic order on the conformally covariant tensor, allows to have asymptotically de Sitter solutions, with a potential that is bounded from below. For generic values of the couplings we also show that static black hole solutions must have a constant Ricci scalar, and provide an analysis of the possible asymptotic behavior of both, the metric as well as the scalar field in the asymptotically AdS case, when the solutions match those of general relativity in vacuum at infinity. In this frame, the spacetime fulfils standard asymptotically AdS boundary conditions, and in spite of the non-standard couplings between the curvature and the scalar field, there is a family of black hole solutions in AdS that can be interpreted as localized objects. We also provide further comments on the extension of these results to higher dimensions. |
hep-th/0607100 | Vincent Bouchard | Mina Aganagic, Vincent Bouchard and Albrecht Klemm | Topological Strings and (Almost) Modular Forms | 62 pages, 1 figure; v2: minor corrections | Commun.Math.Phys.277:771-819,2008 | 10.1007/s00220-007-0383-3 | null | hep-th math.AG math.NT | null | The B-model topological string theory on a Calabi-Yau threefold X has a
symmetry group Gamma, generated by monodromies of the periods of X. This acts
on the topological string wave function in a natural way, governed by the
quantum mechanics of the phase space H^3(X). We show that, depending on the
choice of polarization, the genus g topological string amplitude is either a
holomorphic quasi-modular form or an almost holomorphic modular form of weight
0 under Gamma. Moreover, at each genus, certain combinations of genus g
amplitudes are both modular and holomorphic. We illustrate this for the local
Calabi-Yau manifolds giving rise to Seiberg-Witten gauge theories in four
dimensions and local P_2 and P_1 x P_1. As a byproduct, we also obtain a simple
way of relating the topological string amplitudes near different points in the
moduli space, which we use to give predictions for Gromov-Witten invariants of
the orbifold C^3/Z_3.
| [
{
"created": "Mon, 17 Jul 2006 19:32:35 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2007 15:22:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Aganagic",
"Mina",
""
],
[
"Bouchard",
"Vincent",
""
],
[
"Klemm",
"Albrecht",
""
]
] | The B-model topological string theory on a Calabi-Yau threefold X has a symmetry group Gamma, generated by monodromies of the periods of X. This acts on the topological string wave function in a natural way, governed by the quantum mechanics of the phase space H^3(X). We show that, depending on the choice of polarization, the genus g topological string amplitude is either a holomorphic quasi-modular form or an almost holomorphic modular form of weight 0 under Gamma. Moreover, at each genus, certain combinations of genus g amplitudes are both modular and holomorphic. We illustrate this for the local Calabi-Yau manifolds giving rise to Seiberg-Witten gauge theories in four dimensions and local P_2 and P_1 x P_1. As a byproduct, we also obtain a simple way of relating the topological string amplitudes near different points in the moduli space, which we use to give predictions for Gromov-Witten invariants of the orbifold C^3/Z_3. |
hep-th/9403044 | null | S. Boukraa, J-M. Maillard and G. Rollet | Integrable mappings and polynomial growth | 45 pages | null | 10.1016/0378-4371(94)90055-8 | PAR-LPTHE 93-26 | hep-th nlin.SI solv-int | null | We describe birational representations of discrete groups generated by
involutions, having their origin in the theory of exactly solvable
vertex-models in lattice statistical mechanics. These involutions correspond
respectively to two kinds of transformations on $q \times q$ matrices: the
inversion of the $q \times q$ matrix and an (involutive) permutation of the
entries of the matrix. We concentrate on the case where these permutations are
elementary transpositions of two entries. In this case the birational
transformations fall into six different classes. For each class we analyze the
factorization properties of the iteration of these transformations. These
factorization properties enable to define some canonical homogeneous
polynomials associated with these factorization properties. Some mappings yield
a polynomial growth of the complexity of the iterations. For three classes the
successive iterates, for $q=4$, actually lie on elliptic curves. This analysis
also provides examples of integrable mappings in arbitrary dimension, even
infinite. Moreover, for two classes, the homogeneous polynomials are shown to
satisfy non trivial non-linear recurrences. The relations between
factorizations of the iterations, the existence of recurrences on one or
several variables, as well as the integrability of the mappings are analyzed.
| [
{
"created": "Mon, 7 Mar 1994 16:47:37 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Boukraa",
"S.",
""
],
[
"Maillard",
"J-M.",
""
],
[
"Rollet",
"G.",
""
]
] | We describe birational representations of discrete groups generated by involutions, having their origin in the theory of exactly solvable vertex-models in lattice statistical mechanics. These involutions correspond respectively to two kinds of transformations on $q \times q$ matrices: the inversion of the $q \times q$ matrix and an (involutive) permutation of the entries of the matrix. We concentrate on the case where these permutations are elementary transpositions of two entries. In this case the birational transformations fall into six different classes. For each class we analyze the factorization properties of the iteration of these transformations. These factorization properties enable to define some canonical homogeneous polynomials associated with these factorization properties. Some mappings yield a polynomial growth of the complexity of the iterations. For three classes the successive iterates, for $q=4$, actually lie on elliptic curves. This analysis also provides examples of integrable mappings in arbitrary dimension, even infinite. Moreover, for two classes, the homogeneous polynomials are shown to satisfy non trivial non-linear recurrences. The relations between factorizations of the iterations, the existence of recurrences on one or several variables, as well as the integrability of the mappings are analyzed. |
2110.05584 | Omar Zanusso | Matteo Romoli, Omar Zanusso | A different kind of four dimensional brane for string theory | 13 pages, v2: several improvements including a new section, to appear
in PRD | null | 10.1103/PhysRevD.105.126009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a generalization of the string's Polyakov action that describes a
conformally invariant four dimensional brane. The new extended object is very
different from the traditional D-branes of string theory, but, nevertheless,
shares some structural similarities with the string, especially when it comes
to the low-energy limit of small tension. We introduce a rather rich structure
of tensors that can play a role at low energies. In analogy with the bosonic
string, we initiate the quantization of the new brane discussing the extent in
which it produces a critical dimension of spacetime and Einstein's equations
coupled to a scalar dilaton under some approximations.
| [
{
"created": "Mon, 11 Oct 2021 19:48:42 GMT",
"version": "v1"
},
{
"created": "Tue, 31 May 2022 12:29:12 GMT",
"version": "v2"
}
] | 2022-06-15 | [
[
"Romoli",
"Matteo",
""
],
[
"Zanusso",
"Omar",
""
]
] | We present a generalization of the string's Polyakov action that describes a conformally invariant four dimensional brane. The new extended object is very different from the traditional D-branes of string theory, but, nevertheless, shares some structural similarities with the string, especially when it comes to the low-energy limit of small tension. We introduce a rather rich structure of tensors that can play a role at low energies. In analogy with the bosonic string, we initiate the quantization of the new brane discussing the extent in which it produces a critical dimension of spacetime and Einstein's equations coupled to a scalar dilaton under some approximations. |
hep-th/9905111 | Juan Maldacena | O. Aharony, S.S. Gubser, J. Maldacena, H. Ooguri, and Y. Oz | Large N Field Theories, String Theory and Gravity | 261 pages, 42 post-script figures. Please send any comment to
jmaldac@fas.harvard.edu. v2: added references and small corrections. v3:
minor changes and corrected discussion of SU(3)-invariant supergravity
solution | Phys.Rept.323:183-386,2000 | 10.1016/S0370-1573(99)00083-6 | CERN-TH/99-122, HUTP-99/A027, LBNL-43113, RU-99-18, UCB-PTH-99/16 | hep-th gr-qc hep-lat hep-ph | null | We review the holographic correspondence between field theories and string/M
theory, focusing on the relation between compactifications of string/M theory
on Anti-de Sitter spaces and conformal field theories. We review the background
for this correspondence and discuss its motivations and the evidence for its
correctness. We describe the main results that have been derived from the
correspondence in the regime that the field theory is approximated by classical
or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge
theory in four dimensions, but we discuss also field theories in other
dimensions, conformal and non-conformal, with or without supersymmetry, and in
particular the relation to QCD. We also discuss some implications for black
hole physics.
| [
{
"created": "Fri, 14 May 1999 21:58:15 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 1999 21:40:08 GMT",
"version": "v2"
},
{
"created": "Fri, 1 Oct 1999 17:43:02 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Aharony",
"O.",
""
],
[
"Gubser",
"S. S.",
""
],
[
"Maldacena",
"J.",
""
],
[
"Ooguri",
"H.",
""
],
[
"Oz",
"Y.",
""
]
] | We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Anti-de Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N=4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics. |
0807.5027 | Ayan Mukhopadhyay | Justin R. David, Rajesh Gopakumar, Ayan Mukhopadhyay | Worldsheet Properties of Extremal Correlators in AdS/CFT | 27 pages, 5 figures | JHEP 0810:029,2008 | 10.1088/1126-6708/2008/10/029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue to investigate planar four point worldsheet correlators of string
theories which are conjectured to be duals of free gauge theories. We focus on
the extremal correlators <Tr(Z^{J_1}(x)) Tr(Z^{J_2}(y)) Tr(Z^{J_3}(z))
Tr(\bar{Z}^{J}(0))> of $N = 4$ SYM theory, and construct the corresponding
worldsheet correlators in the limit when the $J_i >> 1$. The worldsheet
correlator gets contributions, in this limit, from a whole family of Feynman
graphs. We find that it is supported on a {\it curve} in the moduli space
parametrised by the worldsheet crossratio. In a further limit of the spacetime
correlators we find this curve to be the unit circle. In this case, we also
check that the entire worldsheet correlator displays the appropriate crossing
symmetry. The non-renormalization of the extremal correlators in the 't Hooft
coupling offers a potential window for a comparison of these results with those
from strong coupling.
| [
{
"created": "Thu, 31 Jul 2008 10:12:35 GMT",
"version": "v1"
}
] | 2011-03-02 | [
[
"David",
"Justin R.",
""
],
[
"Gopakumar",
"Rajesh",
""
],
[
"Mukhopadhyay",
"Ayan",
""
]
] | We continue to investigate planar four point worldsheet correlators of string theories which are conjectured to be duals of free gauge theories. We focus on the extremal correlators <Tr(Z^{J_1}(x)) Tr(Z^{J_2}(y)) Tr(Z^{J_3}(z)) Tr(\bar{Z}^{J}(0))> of $N = 4$ SYM theory, and construct the corresponding worldsheet correlators in the limit when the $J_i >> 1$. The worldsheet correlator gets contributions, in this limit, from a whole family of Feynman graphs. We find that it is supported on a {\it curve} in the moduli space parametrised by the worldsheet crossratio. In a further limit of the spacetime correlators we find this curve to be the unit circle. In this case, we also check that the entire worldsheet correlator displays the appropriate crossing symmetry. The non-renormalization of the extremal correlators in the 't Hooft coupling offers a potential window for a comparison of these results with those from strong coupling. |
hep-th/0512168 | Roldao da Rocha | Roldao da Rocha and W. A. Rodrigues Jr | The Einstein-Hilbert Lagrangian Density in a 2-dimensional Spacetime is
an Exact Differential | 11 pages, Misprints in some equations have been corrected; four new
references have been added, Section 18 added | Mod.Phys.Lett.A21:1519-1528,2006 | 10.1142/S0217732306019888 | null | hep-th | null | Recently Kiriushcheva and Kuzmin claimed to have shown that the
Einstein-Hilbert Lagrangian cannot be written in any coordinate gauge as an
exact differential in a 2-dimensional spacetime. Since this is contrary to
other statements on the subject found in the literature, as e.g., by Deser and
Jackiw, Jackiw, Grumiller, Kummer and Vassilevich it is necessary to do decide
who has reason. This is done in this paper in a very simply way using the
Clifford bundle formalism. In this version we added Section 18 which discusses
a recent comment on our paper just posted by Kiriushcheva and Kuzmin.
| [
{
"created": "Wed, 14 Dec 2005 19:07:08 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2005 20:33:41 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Jan 2006 19:05:59 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Mar 2006 14:39:04 GMT",
"version": "v4"
},
{
"c... | 2008-11-26 | [
[
"da Rocha",
"Roldao",
""
],
[
"Rodrigues",
"W. A.",
"Jr"
]
] | Recently Kiriushcheva and Kuzmin claimed to have shown that the Einstein-Hilbert Lagrangian cannot be written in any coordinate gauge as an exact differential in a 2-dimensional spacetime. Since this is contrary to other statements on the subject found in the literature, as e.g., by Deser and Jackiw, Jackiw, Grumiller, Kummer and Vassilevich it is necessary to do decide who has reason. This is done in this paper in a very simply way using the Clifford bundle formalism. In this version we added Section 18 which discusses a recent comment on our paper just posted by Kiriushcheva and Kuzmin. |
hep-th/9504070 | Eugeny Ivanov | Evgenyi A. Ivanov | OFF-SHELL (4,4) SUPERSYMMETRIC SIGMA MODELS WITH TORSION AS GAUGE
THEORIES IN HARMONIC SUPERSPACE | 12 pages, LaTeX, no figures | Phys.Lett. B356 (1995) 239-248 | 10.1016/0370-2693(95)00825-6 | ENSLAPP-L-515/95, JINR-E2-95-156 | hep-th | null | Starting from the action of $(4,4)$ $2D$ twisted multiplets in the harmonic
superspace with a double set of $SU(2)$ harmonic variables, we present its
generalization which provides an off-shell description of a wide class of
$(4,4)$ sigma models with torsion and non-commuting left and right complex
structures. The distinguishing features of the action constructed are: (i) a
nonabelian and in general nonlinear gauge invariance ensuring a correct number
of physical degrees of freedom; (ii) an infinite tower of auxiliary fields. For
a particular class of such models we explicitly demonstrate the
non-commutativity of complex structures on the bosonic target.
| [
{
"created": "Wed, 12 Apr 1995 16:27:54 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 1995 13:23:05 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ivanov",
"Evgenyi A.",
""
]
] | Starting from the action of $(4,4)$ $2D$ twisted multiplets in the harmonic superspace with a double set of $SU(2)$ harmonic variables, we present its generalization which provides an off-shell description of a wide class of $(4,4)$ sigma models with torsion and non-commuting left and right complex structures. The distinguishing features of the action constructed are: (i) a nonabelian and in general nonlinear gauge invariance ensuring a correct number of physical degrees of freedom; (ii) an infinite tower of auxiliary fields. For a particular class of such models we explicitly demonstrate the non-commutativity of complex structures on the bosonic target. |
2404.17556 | R Loll | J. van der Duin, R. Loll | Curvature Correlators in Nonperturbative 2D Lorentzian Quantum Gravity | 34 pages, 9 figures | null | null | null | hep-th gr-qc hep-lat | http://creativecommons.org/licenses/by/4.0/ | Correlation functions are ubiquitous tools in quantum field theory from both
a fundamental and a practical point of view. However, up to now their use in
theories of quantum gravity beyond perturbative and asymptotically flat regimes
has been limited, due to difficulties associated with diffeomorphism invariance
and the dynamical nature of geometry. We present an analysis of a manifestly
diffeomorphism-invariant, nonperturbative two-point curvature correlator in
two-dimensional Lorentzian quantum gravity. It is based on the recently
introduced quantum Ricci curvature and uses a lattice regularization of the
full path integral in terms of causal dynamical triangulations. We discuss some
of the subtleties and ambiguities in defining connected correlators in theories
of dynamical geometry, and provide strong evidence from Monte Carlo simulations
that the connected two-point curvature correlator in 2D Lorentzian quantum
gravity vanishes. This work paves the way for an analogous investigation in
higher dimensions.
| [
{
"created": "Fri, 26 Apr 2024 17:34:40 GMT",
"version": "v1"
}
] | 2024-04-29 | [
[
"van der Duin",
"J.",
""
],
[
"Loll",
"R.",
""
]
] | Correlation functions are ubiquitous tools in quantum field theory from both a fundamental and a practical point of view. However, up to now their use in theories of quantum gravity beyond perturbative and asymptotically flat regimes has been limited, due to difficulties associated with diffeomorphism invariance and the dynamical nature of geometry. We present an analysis of a manifestly diffeomorphism-invariant, nonperturbative two-point curvature correlator in two-dimensional Lorentzian quantum gravity. It is based on the recently introduced quantum Ricci curvature and uses a lattice regularization of the full path integral in terms of causal dynamical triangulations. We discuss some of the subtleties and ambiguities in defining connected correlators in theories of dynamical geometry, and provide strong evidence from Monte Carlo simulations that the connected two-point curvature correlator in 2D Lorentzian quantum gravity vanishes. This work paves the way for an analogous investigation in higher dimensions. |
hep-th/0106165 | Piljin Yi | Piljin Yi | Anomaly of (2,0) Theories | LaTeX, 14 pages, a notational error fixed | Phys.Rev. D64 (2001) 106006 | 10.1103/PhysRevD.64.106006 | KIAS-P00024 | hep-th | null | We compute gravitational and axial anomaly for D-type (2,0) theories realized
on N pairs of coincident M5-branes at R^5/Z_2 orbifold fixed point. We first
summarize work by Harvey, Minasian, and Moore on A-type (2,0) theories, and
then extend it to include the effect of orbifold fixed point. The net anomaly
inflow follows when we further take into account the consistency of T^5/Z_2
M-theory orbifold. We deduce that the world-volume anomaly is given by N{\cal
J}_8 + N(2N-1)(2N-2) p_2/24 where {\cal J}_8 is the anomaly polynomial of a
free tensor multiplet and p_2 is the second Pontryagin class associated with
the normal bundle. This result is in accord with Intriligator's conjecture.
| [
{
"created": "Tue, 19 Jun 2001 04:25:00 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jun 2001 01:50:56 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Yi",
"Piljin",
""
]
] | We compute gravitational and axial anomaly for D-type (2,0) theories realized on N pairs of coincident M5-branes at R^5/Z_2 orbifold fixed point. We first summarize work by Harvey, Minasian, and Moore on A-type (2,0) theories, and then extend it to include the effect of orbifold fixed point. The net anomaly inflow follows when we further take into account the consistency of T^5/Z_2 M-theory orbifold. We deduce that the world-volume anomaly is given by N{\cal J}_8 + N(2N-1)(2N-2) p_2/24 where {\cal J}_8 is the anomaly polynomial of a free tensor multiplet and p_2 is the second Pontryagin class associated with the normal bundle. This result is in accord with Intriligator's conjecture. |
1704.06994 | Masaki Yamada | Ali Masoumi, Alexander Vilenkin, Masaki Yamada | Initial conditions for slow-roll inflation in a random Gaussian
landscape | 24 pages, 13 figures; (v2) minor changes, an appendix explaining new
features of tunneling added | null | 10.1088/1475-7516/2017/07/003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the landscape perspective, our Universe begins with a quantum tunneling
from an eternally-inflating parent vacuum, followed by a period of slow-roll
inflation. We investigate the tunneling process and calculate the probability
distribution for the initial conditions and for the number of e-folds of
slow-roll inflation, modeling the landscape by a small-field one-dimensional
random Gaussian potential. We find that such a landscape is fully consistent
with observations, but the probability for future detection of spatial
curvature is rather low, $P \sim 10^{-3}$.
| [
{
"created": "Sun, 23 Apr 2017 22:30:15 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2017 23:40:06 GMT",
"version": "v2"
}
] | 2017-07-19 | [
[
"Masoumi",
"Ali",
""
],
[
"Vilenkin",
"Alexander",
""
],
[
"Yamada",
"Masaki",
""
]
] | In the landscape perspective, our Universe begins with a quantum tunneling from an eternally-inflating parent vacuum, followed by a period of slow-roll inflation. We investigate the tunneling process and calculate the probability distribution for the initial conditions and for the number of e-folds of slow-roll inflation, modeling the landscape by a small-field one-dimensional random Gaussian potential. We find that such a landscape is fully consistent with observations, but the probability for future detection of spatial curvature is rather low, $P \sim 10^{-3}$. |
hep-th/0210295 | Raphael Bousso | Raphael Bousso | Light-sheets and Bekenstein's bound | 5 pages, 1 figure; v2: published version, improved discussion of weak
gravity condition, final paragraph added | Phys.Rev.Lett. 90 (2003) 121302 | 10.1103/PhysRevLett.90.121302 | HUTP-02/A053 | hep-th gr-qc quant-ph | null | From the covariant bound on the entropy of partial light-sheets, we derive a
version of Bekenstein's bound: S/M \leq pi x/hbar, where S, M, and x are the
entropy, total mass, and width of any isolated, weakly gravitating system.
Because x can be measured along any spatial direction, the bound becomes
unexpectedly tight in thin systems. Our result completes the identification of
older entropy bounds as special cases of the covariant bound. Thus,
light-sheets exhibit a connection between information and geometry far more
general, but in no respect weaker, than that initially revealed by black hole
thermodynamics.
| [
{
"created": "Thu, 31 Oct 2002 17:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2003 05:21:40 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Bousso",
"Raphael",
""
]
] | From the covariant bound on the entropy of partial light-sheets, we derive a version of Bekenstein's bound: S/M \leq pi x/hbar, where S, M, and x are the entropy, total mass, and width of any isolated, weakly gravitating system. Because x can be measured along any spatial direction, the bound becomes unexpectedly tight in thin systems. Our result completes the identification of older entropy bounds as special cases of the covariant bound. Thus, light-sheets exhibit a connection between information and geometry far more general, but in no respect weaker, than that initially revealed by black hole thermodynamics. |
0808.2243 | Sotirios Bonanos | Sotirios Bonanos and Joaquim Gomis | A note on the Chevalley-Eilenberg Cohomology for the Galilei and
Poincare Algebras | 11 pages, no figures Added several references, corrected typos | J.Phys.A42:145206,2009 | 10.1088/1751-8113/42/14/145206 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct in a systematic way the complete Chevalley-Eilenberg cohomology
at form degree two, three and four for the Galilei and Poincare groups. The
corresponding non-trivial forms belong to certain representations of the
spatial rotation (Lorentz) group. In the case of two forms they give all
possible central and non-central extensions of the Galilei group (and all
non-central extensions of the Poincare group). The procedure developed in this
paper can be applied to any space-time symmetry group.
| [
{
"created": "Mon, 18 Aug 2008 08:03:43 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 13:00:38 GMT",
"version": "v2"
}
] | 2011-06-21 | [
[
"Bonanos",
"Sotirios",
""
],
[
"Gomis",
"Joaquim",
""
]
] | We construct in a systematic way the complete Chevalley-Eilenberg cohomology at form degree two, three and four for the Galilei and Poincare groups. The corresponding non-trivial forms belong to certain representations of the spatial rotation (Lorentz) group. In the case of two forms they give all possible central and non-central extensions of the Galilei group (and all non-central extensions of the Poincare group). The procedure developed in this paper can be applied to any space-time symmetry group. |
hep-th/9906129 | Kei-Ichi Kondo | K.-I. Kondo and Y. Taira (Chiba Univ., Japan) | Non-Abelian Stokes Theorem and Quark Confinement in SU(3) Yang-Mills
Gauge Theory | 14 pages, Latex, no figures, version accepted for publication in Mod.
Phys. Lett. A (some comments are added in the final parts) | Mod.Phys.Lett. 15 (2000) 367-377 | 10.1142/S0217732300000359 | CHIBA-EP-114 | hep-th hep-lat hep-ph math-ph math.MP nucl-th | null | We derive a new version of SU(3) non-Abelian Stokes theorem by making use of
the coherent state representation on the coset space $SU(3)/(U(1)\times
U(1))=F_2$, the flag space. Then we outline a derivation of the area law of the
Wilson loop in SU(3) Yang-Mills theory in the maximal Abelian gauge (The
detailed exposition will be given in a forthcoming article). This derivation is
performed by combining the non-Abelian Stokes theorem with the reformulation of
the Yang-Mills theory as a perturbative deformation of a topological field
theory recently proposed by one of the authors. Within this framework, we show
that the fundamental quark is confined even if $G=SU(3)$ is broken by partial
gauge fixing into $H=U(2)$ just as $G$ is broken to $H=U(1) \times U(1)$. An
origin of the area law is related to the geometric phase of the Wilczek-Zee
holonomy for U(2). Abelian dominance is an immediate byproduct of these results
and magnetic monopole plays the dominant role in this derivation.
| [
{
"created": "Thu, 17 Jun 1999 03:06:34 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Feb 2000 02:59:43 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kondo",
"K. -I.",
"",
"Chiba Univ., Japan"
],
[
"Taira",
"Y.",
"",
"Chiba Univ., Japan"
]
] | We derive a new version of SU(3) non-Abelian Stokes theorem by making use of the coherent state representation on the coset space $SU(3)/(U(1)\times U(1))=F_2$, the flag space. Then we outline a derivation of the area law of the Wilson loop in SU(3) Yang-Mills theory in the maximal Abelian gauge (The detailed exposition will be given in a forthcoming article). This derivation is performed by combining the non-Abelian Stokes theorem with the reformulation of the Yang-Mills theory as a perturbative deformation of a topological field theory recently proposed by one of the authors. Within this framework, we show that the fundamental quark is confined even if $G=SU(3)$ is broken by partial gauge fixing into $H=U(2)$ just as $G$ is broken to $H=U(1) \times U(1)$. An origin of the area law is related to the geometric phase of the Wilczek-Zee holonomy for U(2). Abelian dominance is an immediate byproduct of these results and magnetic monopole plays the dominant role in this derivation. |
hep-th/9611037 | Attilio Cucchieri | Attilio Cucchieri and Daniel Zwanziger (New York University) | Color-Coulomb Force Calculated from Lattice Coulomb Hamiltonian | 4 pages (including 1 figure); (latex using espcrc2.sty). Talk
presented at LATTICE96(poster) | Nucl.Phys.Proc.Suppl. 53 (1997) 815-818 | 10.1016/S0920-5632(96)00790-6 | NYU-ThPhCZ7-29-96 | hep-th hep-lat | null | The static color-Coulomb potential is calculated as the solution of a
non-linear integral equation. This equation has been derived recently as a
self-consistency condition which arises in the Coulomb Hamiltonian formulation
of lattice gauge theory when the restriction to the interior of the Gribov
horizon is implemented. The potential obtained is in qualitative agreement with
expectations, being Coulombic with logarithmic corrections at short range and
confining at long range. The values obtained for the string tension and
$\Lambda_{\overline{MS}}$ are in semi-quantitative agreement with lattice Monte
Carlo and phenomenological determinations.
| [
{
"created": "Wed, 6 Nov 1996 17:31:04 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Cucchieri",
"Attilio",
"",
"New York University"
],
[
"Zwanziger",
"Daniel",
"",
"New York University"
]
] | The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge theory when the restriction to the interior of the Gribov horizon is implemented. The potential obtained is in qualitative agreement with expectations, being Coulombic with logarithmic corrections at short range and confining at long range. The values obtained for the string tension and $\Lambda_{\overline{MS}}$ are in semi-quantitative agreement with lattice Monte Carlo and phenomenological determinations. |
1209.3616 | Panagiota Kanti | Panagiota Kanti and Nikolaos Pappas | Angular profile of Particle Emission from a Higher-dimensional Black
Hole: Analytic Results | 27 pages, Latex2e file, 4 figures | null | 10.1007/JHEP12(2012)019 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | During the spin-down phase of the life of a higher-dimensional black hole,
the emission of particles on the brane exhibits a strong angular variation with
respect to the rotation axis of the black hole. It has been suggested that this
angular variation is the observable that could disentangle the dependence of
the radiation spectra on the number of extra dimensions and angular momentum of
the black hole. Working in the low-energy regime, we have employed analytical
formulae for the greybody factors, angular eigenvalues and eigenfunctions of
fermions and gauge bosons, and studied the characteristics of the corresponding
angular profiles of emission spectra in terms of only a few dominant partial
modes. We have confirmed that, in the low-energy channel, the emitted gauge
bosons become aligned to the rotation axis of the produced black hole while
fermions form an angle with the rotation axis whose exact value depends on the
angular-momentum of the black hole. In the case of scalar fields, we
demonstrated the existence of a "spherically-symmetric zone" that is followed
by the concentration of the emission on the equatorial plane, again in total
agreement with the exact numerical results.
| [
{
"created": "Mon, 17 Sep 2012 10:27:43 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Kanti",
"Panagiota",
""
],
[
"Pappas",
"Nikolaos",
""
]
] | During the spin-down phase of the life of a higher-dimensional black hole, the emission of particles on the brane exhibits a strong angular variation with respect to the rotation axis of the black hole. It has been suggested that this angular variation is the observable that could disentangle the dependence of the radiation spectra on the number of extra dimensions and angular momentum of the black hole. Working in the low-energy regime, we have employed analytical formulae for the greybody factors, angular eigenvalues and eigenfunctions of fermions and gauge bosons, and studied the characteristics of the corresponding angular profiles of emission spectra in terms of only a few dominant partial modes. We have confirmed that, in the low-energy channel, the emitted gauge bosons become aligned to the rotation axis of the produced black hole while fermions form an angle with the rotation axis whose exact value depends on the angular-momentum of the black hole. In the case of scalar fields, we demonstrated the existence of a "spherically-symmetric zone" that is followed by the concentration of the emission on the equatorial plane, again in total agreement with the exact numerical results. |
hep-th/0311068 | Shinji Hirano | Oren Bergman, Shinji Hirano | The Cap in the Hat: Unoriented 2D Strings and Matrix(-Vector) Models | 34 pages, LaTeX; Errors corrected in some of the open string
representations in tables 1, 2 and 3. References and acknowledgments added | JHEP 0401 (2004) 043 | 10.1088/1126-6708/2004/01/043 | null | hep-th | null | We classify the possible bosonic and Type 0 unoriented string theories in two
dimensions, and find their dual matrix(-vector) models. There are no RP^2 R-R
tadpoles in any of the models, but many of them possess a massless tachyon
tadpole. Thus all the models we find are consistent two-dimensional string
vacua, but some get quantum corrections to their classical tachyon background.
Where possible, we solve the tadpole cancellation condition, and find all the
tachyon tadpole-free theories.
| [
{
"created": "Fri, 7 Nov 2003 18:36:07 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Nov 2003 09:49:55 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bergman",
"Oren",
""
],
[
"Hirano",
"Shinji",
""
]
] | We classify the possible bosonic and Type 0 unoriented string theories in two dimensions, and find their dual matrix(-vector) models. There are no RP^2 R-R tadpoles in any of the models, but many of them possess a massless tachyon tadpole. Thus all the models we find are consistent two-dimensional string vacua, but some get quantum corrections to their classical tachyon background. Where possible, we solve the tadpole cancellation condition, and find all the tachyon tadpole-free theories. |
hep-th/9303049 | null | Takayuki Hori | Exact Solutions to the Wheeler-DeWitt Equation of Two Dimensional
Dilaton Gravity | 6 pages, LaTeX, to be published in Prog. Theor. Phys. (some comments
added, and minor generalization is made) | Prog.Theor.Phys. 90 (1993) 743-745 | 10.1143/ptp/90.3.743 | TEP-11R | hep-th | null | The two dimensional dilaton gravity with the cosmological term and with an
even number of matter fields minimally coupled to the gravity is considered.
The exact solutions to the Wheeler-DeWitt equation are obtained in an explicit
functional form, which contain an arbitrary holomorphic function of the matter
fields.
| [
{
"created": "Tue, 9 Mar 1993 11:02:59 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 1993 19:16:16 GMT",
"version": "v2"
}
] | 2024-08-02 | [
[
"Hori",
"Takayuki",
""
]
] | The two dimensional dilaton gravity with the cosmological term and with an even number of matter fields minimally coupled to the gravity is considered. The exact solutions to the Wheeler-DeWitt equation are obtained in an explicit functional form, which contain an arbitrary holomorphic function of the matter fields. |
1608.02968 | Sara Pasquetti | Sara Pasquetti | Holomorphic blocks and the 5d AGT correspondence | This is a contribution to the review volume `Localization techniques
in quantum field theories' (eds. V. Pestun and M. Zabzine) which contains 17
Chapters. The complete volume is summarized in arXiv:1608.02952 and it can be
downloaded at https://arxiv.org/src/1608.02952/anc/LocQFT.pdf or
http://pestun.ihes.fr/pages/LocalizationReview/LocQFT.pdf | null | 10.1088/1751-8121/aa60fe | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the holomorphic block factorisation of partition functions of
supersymmetric theories on compact manifolds in various dimensions. We then
show how to interpret 3d and 5d partition functions as correlation functions
with underlying symmetry given by a deformation of the Virasoro algebra.
| [
{
"created": "Tue, 9 Aug 2016 20:01:53 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Aug 2016 14:22:59 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Oct 2016 17:40:52 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Pasquetti",
"Sara",
""
]
] | We review the holomorphic block factorisation of partition functions of supersymmetric theories on compact manifolds in various dimensions. We then show how to interpret 3d and 5d partition functions as correlation functions with underlying symmetry given by a deformation of the Virasoro algebra. |
1705.00528 | Carlos Andres Escobar Ruiz | C. A. Escobar and L. F. Urrutia | Extended Nambu Models: their relation to gauge theories | 36 pages, no figures. Revised version accepted for publication in
IMJP A | null | 10.1142/S0217751X17500774 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Yang-Mills theories supplemented by an additional coordinate constraint,
which is solved and substituted in the original Lagrangian, provide examples of
the so called Nambu models, in the case where such constraints arise from
spontaneous Lorentz symmetry breaking. Some explicit calculations have shown
that, after additional conditions are imposed, Nambu models are capable of
reproducing the original gauge theories, thus making Lorentz violation
unobservable and allowing the interpretation of the corresponding massless
gauge bosons as the Goldstone bosons arising from the spontaneous symmetry
breaking. A natural question posed by this approach in the realm of gauge
theories is to determine under which conditions the recovery of an arbitrary
gauge theory from the corresponding Nambu model, defined by a general
constraint over the coordinates, becomes possible. We refer to these theories
as extended Nambu models (ENM) and emphasize the fact that the {defining
coordinate} constraint is not treated as a standard gauge fixing term. At this
level, the mechanism for generating the constraint is irrelevant and the case
of spontaneous Lorentz symmetry breaking is taken only as a motivation, which
naturally bring this problem under consideration. Using a non-perturbative
Hamiltonian analysis we prove that the ENM yields the original gauge theory
after we demand current conservation for all time, together with the imposition
of the Gauss laws constraints as initial conditions upon the dynamics of the
ENM. The Nambu models yielding electrodynamics, Yang Mills theories and
linearized gravity are particular examples of our general approach.
| [
{
"created": "Mon, 1 May 2017 14:10:38 GMT",
"version": "v1"
}
] | 2017-06-07 | [
[
"Escobar",
"C. A.",
""
],
[
"Urrutia",
"L. F.",
""
]
] | Yang-Mills theories supplemented by an additional coordinate constraint, which is solved and substituted in the original Lagrangian, provide examples of the so called Nambu models, in the case where such constraints arise from spontaneous Lorentz symmetry breaking. Some explicit calculations have shown that, after additional conditions are imposed, Nambu models are capable of reproducing the original gauge theories, thus making Lorentz violation unobservable and allowing the interpretation of the corresponding massless gauge bosons as the Goldstone bosons arising from the spontaneous symmetry breaking. A natural question posed by this approach in the realm of gauge theories is to determine under which conditions the recovery of an arbitrary gauge theory from the corresponding Nambu model, defined by a general constraint over the coordinates, becomes possible. We refer to these theories as extended Nambu models (ENM) and emphasize the fact that the {defining coordinate} constraint is not treated as a standard gauge fixing term. At this level, the mechanism for generating the constraint is irrelevant and the case of spontaneous Lorentz symmetry breaking is taken only as a motivation, which naturally bring this problem under consideration. Using a non-perturbative Hamiltonian analysis we prove that the ENM yields the original gauge theory after we demand current conservation for all time, together with the imposition of the Gauss laws constraints as initial conditions upon the dynamics of the ENM. The Nambu models yielding electrodynamics, Yang Mills theories and linearized gravity are particular examples of our general approach. |
hep-th/9202067 | null | Mirjam Cvetic | Stringy Domain Walls and Other Stringy Topological Defects | 16 pages | null | null | null | hep-th | null | We point out that the moduli sector of the $(2,2)$ string compactification
with its nonperturbatively preserved non-compact symmetries is a framework to
study global topological defects. Based on the target space modular invariance
of the nonperturbative superpotential of the four-dimensional $N=1$
supersymmetric string vacua, topologically stable stringy domain walls are
found. Explicit supersymmetric solutions for the modulus field and the metric,
which saturate the Bogomol'nyi bound, are presented. They interpolate between
{\it non-degenerate} vacua. As a corollary, this defines a new notion of vacuum
degeneracy of supersymmetric vacua. Nonsupersymmetric stringy domain walls are
discussed as well. The moduli sectors with more than one modulus and the
non-compact continous symmetry preserved allow for global monopole-type and
texture-type configurations.
| [
{
"created": "Wed, 19 Feb 1992 21:26:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cvetic",
"Mirjam",
""
]
] | We point out that the moduli sector of the $(2,2)$ string compactification with its nonperturbatively preserved non-compact symmetries is a framework to study global topological defects. Based on the target space modular invariance of the nonperturbative superpotential of the four-dimensional $N=1$ supersymmetric string vacua, topologically stable stringy domain walls are found. Explicit supersymmetric solutions for the modulus field and the metric, which saturate the Bogomol'nyi bound, are presented. They interpolate between {\it non-degenerate} vacua. As a corollary, this defines a new notion of vacuum degeneracy of supersymmetric vacua. Nonsupersymmetric stringy domain walls are discussed as well. The moduli sectors with more than one modulus and the non-compact continous symmetry preserved allow for global monopole-type and texture-type configurations. |
1707.09082 | Roberto Daniel Mota Esteves Dr. | R. D. Mota, D. Ojeda-Guill\'en, M. Salazar-Ram\'irez and V. D.
Granados | Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated
from Supersymmetry with Reflections | null | Mod. Phys. Lett. A, 34 (2019) 1950028 | 10.1142/S0217732319500287 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By modifying and generalizing known supersymmetric models we are able to find
four different sets of one-dimensional Hamiltonians for the inverted harmonic
oscillator. The first set of Hamiltonians is derived by extending the
supersymmetric quantum mechanics with reflections to non-Hermitian
supercharges. The second set is obtained by generalizing the supersymmetric
quantum mechanics valid for non-Hermitian supercharges with the Dunkl
derivative instead of $\frac{d}{dx}$. Also, by changing the derivative
$\frac{d}{dx}$ by the Dunkl derivative in the creation and annihilation-type
operators of the standard inverted Harmonic oscillator
$H_{SIO}=-\frac{1}{2}\frac{d^2}{dx^2}-\frac{1}{2}x^2$, we generate the third
set of Hamiltonians. The fourth set of Hamiltonians emerges by allowing a
parameter of the supersymmetric two-body Calogero-type model to take imaginary
values. The eigensolutions of definite parity for each set of Hamiltonians are
given.
| [
{
"created": "Fri, 28 Jul 2017 01:04:50 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2018 13:41:23 GMT",
"version": "v2"
}
] | 2019-02-05 | [
[
"Mota",
"R. D.",
""
],
[
"Ojeda-Guillén",
"D.",
""
],
[
"Salazar-Ramírez",
"M.",
""
],
[
"Granados",
"V. D.",
""
]
] | By modifying and generalizing known supersymmetric models we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first set of Hamiltonians is derived by extending the supersymmetric quantum mechanics with reflections to non-Hermitian supercharges. The second set is obtained by generalizing the supersymmetric quantum mechanics valid for non-Hermitian supercharges with the Dunkl derivative instead of $\frac{d}{dx}$. Also, by changing the derivative $\frac{d}{dx}$ by the Dunkl derivative in the creation and annihilation-type operators of the standard inverted Harmonic oscillator $H_{SIO}=-\frac{1}{2}\frac{d^2}{dx^2}-\frac{1}{2}x^2$, we generate the third set of Hamiltonians. The fourth set of Hamiltonians emerges by allowing a parameter of the supersymmetric two-body Calogero-type model to take imaginary values. The eigensolutions of definite parity for each set of Hamiltonians are given. |
1801.07263 | Max Riegler | Tatsuo Azeyanagi and St\'ephane Detournay and Max Riegler | Warped Black Holes in Lower-Spin Gravity | 33 pages, 1 figure; v2: corrected minor typos and added references;
v3: added a section, references and corrected minor typos. Matches published
version; | Phys. Rev. D 99, 026013 (2019) | 10.1103/PhysRevD.99.026013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a simple holographic description for a warped conformal field
theory (WCFT) at finite temperature. To this end we study the counterpart of
warped anti-de Sitter black holes in three dimensions using a lower-spin
$\mathfrak{sl}(2,\mathbb{R})\oplus\mathfrak{u}(1)$ Chern-Simons theory proposed
by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy
and holographic entanglement entropy and show that all these quantities are in
perfect agreement with the expectations from the dual WCFT perspective. In
addition we provide a metric interpretation of our results which naturally fits
with our analysis in the Chern-Simons formulation.
| [
{
"created": "Mon, 22 Jan 2018 19:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2018 21:49:32 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jan 2019 14:22:54 GMT",
"version": "v3"
}
] | 2019-02-06 | [
[
"Azeyanagi",
"Tatsuo",
""
],
[
"Detournay",
"Stéphane",
""
],
[
"Riegler",
"Max",
""
]
] | We provide a simple holographic description for a warped conformal field theory (WCFT) at finite temperature. To this end we study the counterpart of warped anti-de Sitter black holes in three dimensions using a lower-spin $\mathfrak{sl}(2,\mathbb{R})\oplus\mathfrak{u}(1)$ Chern-Simons theory proposed by Hofman and Rollier. We determine the asymptotic symmetries, thermal entropy and holographic entanglement entropy and show that all these quantities are in perfect agreement with the expectations from the dual WCFT perspective. In addition we provide a metric interpretation of our results which naturally fits with our analysis in the Chern-Simons formulation. |
hep-th/9705216 | Andreas Aste | Andreas Aste, Michael D"utsch and G"unter Scharf | On Gauge Invariance and Spontaneous Symmetry Breaking | 13 pages, latex, no figures | J.Phys.A30:5785-5792,1997 | 10.1088/0305-4470/30/16/019 | ZU-TH-11/97 | hep-th | null | We show how the widely used concept of spontaneous symmetry breaking can be
explained in causal perturbation theory by introducing a perturbative version
of quantum gauge invariance. Perturbative gauge invariance, formulated
exclusively by means of asymptotic fields, is discussed for the simple example
of Abelian U(1) gauge theory (Abelian Higgs model). Our findings are relevant
for the electroweak theory, as pointed out elsewhere.
| [
{
"created": "Wed, 28 May 1997 08:58:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Aste",
"Andreas",
""
],
[
"D\"utsch",
"Michael",
""
],
[
"Scharf",
"G\"unter",
""
]
] | We show how the widely used concept of spontaneous symmetry breaking can be explained in causal perturbation theory by introducing a perturbative version of quantum gauge invariance. Perturbative gauge invariance, formulated exclusively by means of asymptotic fields, is discussed for the simple example of Abelian U(1) gauge theory (Abelian Higgs model). Our findings are relevant for the electroweak theory, as pointed out elsewhere. |
0904.2510 | Roberto Percacci | P.F. Machado and R. Percacci | Conformally reduced quantum gravity revisited | 24 pages | Phys.Rev.D80:024020,2009 | 10.1103/PhysRevD.80.024020 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Applying functional renormalization group methods, we describe two
inequivalent ways of defining the renormalization group of matter-coupled four
dimensional gravity, in the approximation where only the conformal factor is
dynamical and taking the trace anomaly explicitly into account. We make contact
with earlier work and briefly discuss the presence or absence of fixed points,
depending on the truncation of the action and other approximations.
| [
{
"created": "Thu, 16 Apr 2009 14:46:30 GMT",
"version": "v1"
}
] | 2011-04-14 | [
[
"Machado",
"P. F.",
""
],
[
"Percacci",
"R.",
""
]
] | Applying functional renormalization group methods, we describe two inequivalent ways of defining the renormalization group of matter-coupled four dimensional gravity, in the approximation where only the conformal factor is dynamical and taking the trace anomaly explicitly into account. We make contact with earlier work and briefly discuss the presence or absence of fixed points, depending on the truncation of the action and other approximations. |
hep-th/9803187 | Paolo Maraner | P. Maraner (MIT) | Charged Particles in a 2+1 Curved Background | 22 pages | J.Phys.A31:9309-9319,1998 | 10.1088/0305-4470/31/46/020 | MIT-CTP-2700 | hep-th physics.plasm-ph | null | The coupling to a 2+1 background geometry of a quantized charged test
particle in a strong magnetic field is analyzed. Canonical operators adapting
to the fast and slow freedoms produce a natural expansion in the inverse square
root of the magnetic field strength. The fast freedom is solved to the second
order.
At any given time, space is parameterized by a couple of conjugate operators
and effectively behaves as the `phase space' of the slow freedom. The slow
Hamiltonian depends on the magnetic field norm, its covariant derivatives, the
scalar curvature and presents a peculiar coupling with the spin-connection.
| [
{
"created": "Mon, 23 Mar 1998 18:30:21 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Maraner",
"P.",
"",
"MIT"
]
] | The coupling to a 2+1 background geometry of a quantized charged test particle in a strong magnetic field is analyzed. Canonical operators adapting to the fast and slow freedoms produce a natural expansion in the inverse square root of the magnetic field strength. The fast freedom is solved to the second order. At any given time, space is parameterized by a couple of conjugate operators and effectively behaves as the `phase space' of the slow freedom. The slow Hamiltonian depends on the magnetic field norm, its covariant derivatives, the scalar curvature and presents a peculiar coupling with the spin-connection. |
2312.09308 | Biswajit Sahoo | Denis Karateev, Zohar Komargodski, Jo\~ao Penedones and Biswajit Sahoo | Trace Anomalies and the Graviton-Dilaton Amplitude | 45 pages + appendices | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider 3+1 dimensional Quantum Field Theories (QFTs) coupled to the
dilaton and the graviton. We show that the graviton-dilaton scattering
amplitude receives a universal contribution which is helicity flipping and is
proportional to $\Delta c-\Delta a$ along any RG flow, where $\Delta c$ and
$\Delta a$ are the differences of the UV and IR $c$- and $a$-trace anomalies
respectively. This allows us to relate $\Delta c-\Delta a$ to spinning massive
states in the spectrum of the QFT. We test our predictions in two simple
examples: in the theory of a massive free scalar and in the theory of a massive
Dirac fermion (a more complicated example is provided in a companion paper
[1]). We discuss possible applications.
| [
{
"created": "Thu, 14 Dec 2023 19:24:20 GMT",
"version": "v1"
}
] | 2023-12-18 | [
[
"Karateev",
"Denis",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Penedones",
"João",
""
],
[
"Sahoo",
"Biswajit",
""
]
] | We consider 3+1 dimensional Quantum Field Theories (QFTs) coupled to the dilaton and the graviton. We show that the graviton-dilaton scattering amplitude receives a universal contribution which is helicity flipping and is proportional to $\Delta c-\Delta a$ along any RG flow, where $\Delta c$ and $\Delta a$ are the differences of the UV and IR $c$- and $a$-trace anomalies respectively. This allows us to relate $\Delta c-\Delta a$ to spinning massive states in the spectrum of the QFT. We test our predictions in two simple examples: in the theory of a massive free scalar and in the theory of a massive Dirac fermion (a more complicated example is provided in a companion paper [1]). We discuss possible applications. |
1603.07098 | Ian Jack | I. Jack and C. Poole | Consistency of non-minimal renormalisation schemes | 24 pages,7 figures, uses axodraw | null | null | LTH1080 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-minimal renormalisation schemes such as the momentum subtraction scheme
(MOM) have frequently been used for physical computations. The consistency of
such a scheme relies on the existence of a coupling redefinition linking it to
MSbar. We discuss the implementation of this procedure in detail for a general
theory and show how to construct the relevant redefinition up to three-loop
order, for the case of a general theory of fermions and scalars in four
dimensions and a general scalar theory in six dimensions.
| [
{
"created": "Wed, 23 Mar 2016 09:21:40 GMT",
"version": "v1"
}
] | 2016-03-24 | [
[
"Jack",
"I.",
""
],
[
"Poole",
"C.",
""
]
] | Non-minimal renormalisation schemes such as the momentum subtraction scheme (MOM) have frequently been used for physical computations. The consistency of such a scheme relies on the existence of a coupling redefinition linking it to MSbar. We discuss the implementation of this procedure in detail for a general theory and show how to construct the relevant redefinition up to three-loop order, for the case of a general theory of fermions and scalars in four dimensions and a general scalar theory in six dimensions. |
1112.3962 | Francois Dehouck | Fran\c{c}ois Dehouck | Electric and magnetic aspects of gravitational theories | 220 pages, 3 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This thesis deals with the construction of conserved charges for
asymptotically flat spacetimes at spatial infinity in four spacetime dimensions
in a hopefully pedagogical way. As a first motivation of this work, it
highlights the difficulties one encounters when trying to understand the
gravitational duality, present at the linearized level, in the full non-linear
Einstein's theory or even just in an asymptotic regime of it. In the first
part, we restrict the discussion to the Noetherian surface charges, called
"electric charges", and study the existence of a larger phase space, than
previously known in the literature, where the awkward parity boundary
conditions, firstly imposed by T. Regge and C. Teitelboim, are relaxed. In the
absence of these parity conditions, we show how the Einstein-Hilbert action is
a correct variational principle when it is supplemented by an anomalous
counter-term and construct conserved and finite charges associated to the
larger asymptotic symmetry group. The second and third parts focus on the
magnetic information obtained through gravitational duality. As this duality is
only known at the linearized level, asymptotic linearity is implicitly assumed
at spatial infinity. In the second part, gravitational duality for the
linearized gravity theory is reviewed and ten dual Poincar\'e charges, or
topological "magnetic" charges, are constructed \`a la Abbott-Deser. The last
part explains how the NUT charge N, gravitational dual of the mass M and
present in the BPS bound of the supersymmetric charged Taub-NUT black hole,
copes with the N=2 superalgebra. This is achieved through a complexification of
the Witten-Nester 2-form.
| [
{
"created": "Fri, 16 Dec 2011 21:00:02 GMT",
"version": "v1"
}
] | 2011-12-20 | [
[
"Dehouck",
"François",
""
]
] | This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a hopefully pedagogical way. As a first motivation of this work, it highlights the difficulties one encounters when trying to understand the gravitational duality, present at the linearized level, in the full non-linear Einstein's theory or even just in an asymptotic regime of it. In the first part, we restrict the discussion to the Noetherian surface charges, called "electric charges", and study the existence of a larger phase space, than previously known in the literature, where the awkward parity boundary conditions, firstly imposed by T. Regge and C. Teitelboim, are relaxed. In the absence of these parity conditions, we show how the Einstein-Hilbert action is a correct variational principle when it is supplemented by an anomalous counter-term and construct conserved and finite charges associated to the larger asymptotic symmetry group. The second and third parts focus on the magnetic information obtained through gravitational duality. As this duality is only known at the linearized level, asymptotic linearity is implicitly assumed at spatial infinity. In the second part, gravitational duality for the linearized gravity theory is reviewed and ten dual Poincar\'e charges, or topological "magnetic" charges, are constructed \`a la Abbott-Deser. The last part explains how the NUT charge N, gravitational dual of the mass M and present in the BPS bound of the supersymmetric charged Taub-NUT black hole, copes with the N=2 superalgebra. This is achieved through a complexification of the Witten-Nester 2-form. |
hep-th/0608183 | Oleg Zaslavskii | O. B. Zaslavskii | Boulware state in exactly solvable models of 2D dilaton gravity | 10 pages. 1 ref. added. To appear in Mod. Phys. Lett. A | Mod.Phys.Lett.A21:2283-2290,2006 | 10.1142/S0217732306021529 | null | hep-th gr-qc | null | We discuss self-consistent geometries and behavior of dilaton in exactly
solvable models of 2D dilaton gravity, with quantum fields in the Boulware
state. If the coupling $H(\phi)$ between curvature and dilaton $\phi $ is
non-monotonic, backreaction can remove the classical singularity. As a result,
an everywhere regular star-like configuration may appear, in which case the
Boulware state, contrary to expectations, smooths out the system. For monotonic
$H(\phi)$ exact solutions confirm the features found before with the help of
numerical methods: the appearance of the bouncing point and the presence of
isotropic singularity at the classically forbidden branch of the dilaton.
| [
{
"created": "Fri, 25 Aug 2006 09:11:51 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Oct 2006 17:51:15 GMT",
"version": "v2"
}
] | 2010-11-05 | [
[
"Zaslavskii",
"O. B.",
""
]
] | We discuss self-consistent geometries and behavior of dilaton in exactly solvable models of 2D dilaton gravity, with quantum fields in the Boulware state. If the coupling $H(\phi)$ between curvature and dilaton $\phi $ is non-monotonic, backreaction can remove the classical singularity. As a result, an everywhere regular star-like configuration may appear, in which case the Boulware state, contrary to expectations, smooths out the system. For monotonic $H(\phi)$ exact solutions confirm the features found before with the help of numerical methods: the appearance of the bouncing point and the presence of isotropic singularity at the classically forbidden branch of the dilaton. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.