id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9604097 | Ruben Minasian | Sergio Ferrara, Ruben Minasian and Augusto Sagnotti | Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds | 27 pages, LaTex. final version, to appear in Nucl. Phys. B | Nucl.Phys. B474 (1996) 323-342 | 10.1016/0550-3213(96)00268-4 | CERN-TH/96-99, ROM2F-96/20 | hep-th | null | We elucidate the interplay between gauge and supersymmetry anomalies in
six-dimensional $N=1$ supergravity with generalized couplings between tensor
and vector multiplets. We derive the structure of the five-dimensional
supergravity resulting from the $S_1$ reduction of these models and give the
constraints on Chern-Simons couplings that follow from duality to $M$ theory
compactified on a Calabi-Yau threefold. The duality is supported only on a
restricted class of Calabi-Yau threefolds and requires a special type of
intersection form. We derive five-dimensional central-charge formulas and
discuss briefly the associated phase transitions. Finally, we exhibit
connections with $F$-theory compactifications on Calabi-Yau manifolds that
admit elliptic fibrations. This analysis suggests that $F$ theory unifies
Type-$IIb$ three-branes and $M$-theory five-branes.
| [
{
"created": "Wed, 17 Apr 1996 14:48:45 GMT",
"version": "v1"
},
{
"created": "Thu, 9 May 1996 13:43:04 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 1996 14:14:50 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Ferrara",
"Sergio",
""
],
[
"Minasian",
"Ruben",
""
],
[
"Sagnotti",
"Augusto",
""
]
] | We elucidate the interplay between gauge and supersymmetry anomalies in six-dimensional $N=1$ supergravity with generalized couplings between tensor and vector multiplets. We derive the structure of the five-dimensional supergravity resulting from the $S_1$ reduction of these models and give the constraints on Chern-Simons couplings that follow from duality to $M$ theory compactified on a Calabi-Yau threefold. The duality is supported only on a restricted class of Calabi-Yau threefolds and requires a special type of intersection form. We derive five-dimensional central-charge formulas and discuss briefly the associated phase transitions. Finally, we exhibit connections with $F$-theory compactifications on Calabi-Yau manifolds that admit elliptic fibrations. This analysis suggests that $F$ theory unifies Type-$IIb$ three-branes and $M$-theory five-branes. |
hep-th/9907021 | Polyakov Dimitri | Dimitri Polyakov | D=4 Yang-Mills Correlators from NSR Strings on $AdS_5\times{S^5}$ | 14 pages, TeX, misprints corrected | null | null | IC/99/74 | hep-th | null | We perform the derivation of the two-point correlation function in N=4 D=4
super Yang-Mills theory from superstring theory by computing the dilaton
scattering amplitude in the NSR formulation of superstring theory on
$AdS_5\times{S^5}$
| [
{
"created": "Mon, 5 Jul 1999 16:03:48 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Aug 1999 16:32:46 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Polyakov",
"Dimitri",
""
]
] | We perform the derivation of the two-point correlation function in N=4 D=4 super Yang-Mills theory from superstring theory by computing the dilaton scattering amplitude in the NSR formulation of superstring theory on $AdS_5\times{S^5}$ |
hep-th/0501158 | Hael Collins | Hael Collins (University of Massachusetts, Amherst) and R. Holman
(Carnegie Mellon University) | Renormalization of initial conditions and the trans-Planckian problem of
inflation | 22 pages, 4 eps figures, uses RevTeX | Phys.Rev. D71 (2005) 085009 | 10.1103/PhysRevD.71.085009 | UMHEP-460, CMU-HEP-04-10 | hep-th hep-ph | null | Understanding how a field theory propagates the information contained in a
given initial state is essential for quantifying the sensitivity of the cosmic
microwave background to physics above the Hubble scale during inflation. Here
we examine the renormalization of a scalar theory with nontrivial initial
conditions in the simpler setting of flat space. The renormalization of the
bulk theory proceeds exactly as for the standard vacuum state. However, the
short distance features of the initial conditions can introduce new divergences
which are confined to the surface on which the initial conditions are imposed.
We show how the addition of boundary counterterms removes these divergences and
induces a renormalization group flow in the space of initial conditions.
| [
{
"created": "Wed, 19 Jan 2005 23:53:27 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Collins",
"Hael",
"",
"University of Massachusetts, Amherst"
],
[
"Holman",
"R.",
"",
"Carnegie Mellon University"
]
] | Understanding how a field theory propagates the information contained in a given initial state is essential for quantifying the sensitivity of the cosmic microwave background to physics above the Hubble scale during inflation. Here we examine the renormalization of a scalar theory with nontrivial initial conditions in the simpler setting of flat space. The renormalization of the bulk theory proceeds exactly as for the standard vacuum state. However, the short distance features of the initial conditions can introduce new divergences which are confined to the surface on which the initial conditions are imposed. We show how the addition of boundary counterterms removes these divergences and induces a renormalization group flow in the space of initial conditions. |
hep-th/9704034 | null | F. Fucito, M. Martellini, S.P. Sorella, A. Tanzini, L.C.Q. Vilar,
M.Zeni | Algebraic renormalization of the BF Yang-Mills Theory | 14 pages, some references and acknowledgments added, version to
appear in Phys.Lett.B | Phys.Lett.B404:94-100,1997 | 10.1016/S0370-2693(97)00557-1 | ROM2F/97/08 | hep-th | null | We discuss the quantum equivalence, to all orders of perturbation theory,
between the Yang-Mills theory and its first order formulation through a second
rank antisymmetric tensor field. Moreover, the introduction of an additional
nonphysical vector field allows us to interpret the Yang-Mills theory as a kind
of perturbation of the topological BF model.
| [
{
"created": "Fri, 4 Apr 1997 12:24:22 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 1997 10:10:55 GMT",
"version": "v2"
}
] | 2010-02-05 | [
[
"Fucito",
"F.",
""
],
[
"Martellini",
"M.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Tanzini",
"A.",
""
],
[
"Vilar",
"L. C. Q.",
""
],
[
"Zeni",
"M.",
""
]
] | We discuss the quantum equivalence, to all orders of perturbation theory, between the Yang-Mills theory and its first order formulation through a second rank antisymmetric tensor field. Moreover, the introduction of an additional nonphysical vector field allows us to interpret the Yang-Mills theory as a kind of perturbation of the topological BF model. |
2012.10109 | Sebastian Grieninger | Sebastian Grieninger | Non-equilibrium dynamics in Holography | 100 pages+appendices, 34+4 figures, PhD Thesis FSU Jena, July 2020;
includes results from arXiv:1905.09164, arXiv:1905.09488, arXiv:1910.06331,
arXiv:2001.05737, arXiv: 2012.09183, arXiv:1904.02170, arXiv:1908.10372,
arXiv:2005.01725 | null | 10.22032/dbt.45425 | null | hep-th cond-mat.str-el gr-qc | http://creativecommons.org/licenses/by/4.0/ | We investigate aspects of non-equilibrium dynamics of strongly coupled field
theories within holography. We establish a hydrodynamic description for
anomalous quantum field theories subject to a strong external field for the
first time in the literature. Within holography, we explicitly demonstrate
which transport coefficients are non-zero due to the chiral anomaly and thus
important for the transport. We show that the standard treatment of the
hydrodynamics for spontaneously broken translational invariance is more subtle
and has to be revised since the description is missing a novel thermodynamic
coefficient. Within holographic massive gravity, we lay out a road map for
extensions of hydrodynamics to momentum dissipation. Furthermore, we study the
imprint of spontaneously broken translations beyond linear response theory in
terms of periodically driven strongly coupled quantum field theories. Another
important non-equilibrium scenario specially important for the understanding of
our universe is quantum gravity in de-Sitter. Recently, the bold claim of the
so-called swampland conjectures has attracted great interest since it banishes
all stable theories of quantum gravity on de-Sitter with matter into swampland.
Within the well-defined framework of the DS/dS correspondence, we set out to
derive consistency conditions on the matter content in de-Sitter. Surprisingly,
our proposed bound is violated by any reasonable form of matter. In our
discussion, we find a novel one-parameter family of entangling surfaces. The
last chapter is dedicated to solvable irrelevant deformations in quantum field
theory -- the $T\bar T$ deformation. Within holography, we derive the
entanglement entropies for generic subintervals on a sphere. We also resolve
the confusion in the literature about a seeming mismatch between the
holographic field theory results for the entanglement entropy in general
dimensions.
| [
{
"created": "Fri, 18 Dec 2020 08:40:43 GMT",
"version": "v1"
}
] | 2020-12-21 | [
[
"Grieninger",
"Sebastian",
""
]
] | We investigate aspects of non-equilibrium dynamics of strongly coupled field theories within holography. We establish a hydrodynamic description for anomalous quantum field theories subject to a strong external field for the first time in the literature. Within holography, we explicitly demonstrate which transport coefficients are non-zero due to the chiral anomaly and thus important for the transport. We show that the standard treatment of the hydrodynamics for spontaneously broken translational invariance is more subtle and has to be revised since the description is missing a novel thermodynamic coefficient. Within holographic massive gravity, we lay out a road map for extensions of hydrodynamics to momentum dissipation. Furthermore, we study the imprint of spontaneously broken translations beyond linear response theory in terms of periodically driven strongly coupled quantum field theories. Another important non-equilibrium scenario specially important for the understanding of our universe is quantum gravity in de-Sitter. Recently, the bold claim of the so-called swampland conjectures has attracted great interest since it banishes all stable theories of quantum gravity on de-Sitter with matter into swampland. Within the well-defined framework of the DS/dS correspondence, we set out to derive consistency conditions on the matter content in de-Sitter. Surprisingly, our proposed bound is violated by any reasonable form of matter. In our discussion, we find a novel one-parameter family of entangling surfaces. The last chapter is dedicated to solvable irrelevant deformations in quantum field theory -- the $T\bar T$ deformation. Within holography, we derive the entanglement entropies for generic subintervals on a sphere. We also resolve the confusion in the literature about a seeming mismatch between the holographic field theory results for the entanglement entropy in general dimensions. |
2007.02353 | Ingrid Mayer | Ilka Brunner, Ingrid Mayer, Cornelius Schmidt-Colinet | Topological defects and SUSY RG flow | 39 pages, 6 figures | null | null | LMU-ASC 24/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of bulk perturbations of N=(2,2) superconformal minimal
models on topological defects. In particular, symmetries and more general
topological defects which survive the flow to the IR are identified. Our method
is to consider the topological subsector and make use of the Landau-Ginzburg
formulation to describe RG flows and topological defects in terms of matrix
factorizations.
| [
{
"created": "Sun, 5 Jul 2020 14:29:09 GMT",
"version": "v1"
}
] | 2020-07-07 | [
[
"Brunner",
"Ilka",
""
],
[
"Mayer",
"Ingrid",
""
],
[
"Schmidt-Colinet",
"Cornelius",
""
]
] | We study the effect of bulk perturbations of N=(2,2) superconformal minimal models on topological defects. In particular, symmetries and more general topological defects which survive the flow to the IR are identified. Our method is to consider the topological subsector and make use of the Landau-Ginzburg formulation to describe RG flows and topological defects in terms of matrix factorizations. |
hep-th/9811172 | Christian Schubert | B. Eden, P.S. Howe, C. Schubert, E. Sokatchev, P.C. West | Four-point functions in N=4 supersymmetric Yang-Mills theory at two
loops | 26 pages, standard latex, uses feynman.tex, typo corrections, Note
added, to appear in Nucl. Phys. B | Nucl.Phys. B557 (1999) 355-379 | 10.1016/S0550-3213(99)00360-0 | KCL-MTH-98-58, LAPTH-705/98 | hep-th hep-ph | null | Four-point functions of gauge-invariant operators in D=4, N=4 supersymmetric
Yang-Mills theory are studied using N=2 harmonic superspace perturbation
theory. The results are expressed in terms of differential operators acting on
a scalar two loop integral. The leading singular behaviour is obtained in the
limit that two of the points approach one another. We find logarithmic
singularities which do not cancel out in the sum of all diagrams. It is
confirmed that Green's functions of analytic operators are indeed analytic at
this order in perturbation theory.
| [
{
"created": "Wed, 18 Nov 1998 22:27:33 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jun 1999 13:00:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Eden",
"B.",
""
],
[
"Howe",
"P. S.",
""
],
[
"Schubert",
"C.",
""
],
[
"Sokatchev",
"E.",
""
],
[
"West",
"P. C.",
""
]
] | Four-point functions of gauge-invariant operators in D=4, N=4 supersymmetric Yang-Mills theory are studied using N=2 harmonic superspace perturbation theory. The results are expressed in terms of differential operators acting on a scalar two loop integral. The leading singular behaviour is obtained in the limit that two of the points approach one another. We find logarithmic singularities which do not cancel out in the sum of all diagrams. It is confirmed that Green's functions of analytic operators are indeed analytic at this order in perturbation theory. |
hep-th/9505123 | null | M. Billo', R. D'Auria, S. Ferrara, P. Fre', P. Soriani and A. Van
Proeyen | R-Symmetry and the Topological Twist of N=2 Effective Supergravities of
Heterotic Strings | 40 pages, plain LaTeX. Final version to appear on IJMPA | Int.J.Mod.Phys. A12 (1997) 379-418 | 10.1142/S0217751X97000475 | SISSA 48/95/EP, POLFIS-TH 06/95, CERN-TH 95/115, IFUM 504/FT,
KUL-TF-95/15, UCLA/95/TEP/8 | hep-th | null | We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled
to hypermultiplets which can be thought of as effective theories of heterotic
superstring models. In this type of supergravities a suitable R-symmetry exists
and can be used to topologically twist the theory: the vector multiplet
containing the dilaton-axion field has different R-charge assignments with
respect to the other vector multiplets. Correspondingly a system of coupled
instanton equations emerges, mixing gravitational and Yang--Mills instantons
with triholomorphic hyperinstantons and axion-instantons. For the tree-level
classical special manifolds $ST(n)=SU(1,1)/U(1)\times SO(2,n)/(SO(2)$ $\times
SO(n))$ R-symmetry with the specified properties is a continuous symmetry, but
for the quantum corrected manifolds ${\hat {ST}}(n)$ a discrete R--group of
electric--magnetic duality rotations is sufficient and we argue that it exists.
| [
{
"created": "Fri, 19 May 1995 16:07:21 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 1995 18:06:22 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Nov 1995 12:04:03 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Billo'",
"M.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Fre'",
"P.",
""
],
[
"Soriani",
"P.",
""
],
[
"Van Proeyen",
"A.",
""
]
] | We discuss R-symmetries in locally supersymmetric N=2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of supergravities a suitable R-symmetry exists and can be used to topologically twist the theory: the vector multiplet containing the dilaton-axion field has different R-charge assignments with respect to the other vector multiplets. Correspondingly a system of coupled instanton equations emerges, mixing gravitational and Yang--Mills instantons with triholomorphic hyperinstantons and axion-instantons. For the tree-level classical special manifolds $ST(n)=SU(1,1)/U(1)\times SO(2,n)/(SO(2)$ $\times SO(n))$ R-symmetry with the specified properties is a continuous symmetry, but for the quantum corrected manifolds ${\hat {ST}}(n)$ a discrete R--group of electric--magnetic duality rotations is sufficient and we argue that it exists. |
0710.5530 | Paul Koerber | Paul Koerber and Luca Martucci | D-branes on AdS flux compactifications | 43 pages, 2 pictures, 1 table; v2: added references, color to figure
and corrected typo in (6.21b) | JHEP 0801:047,2008 | 10.1088/1126-6708/2008/01/047 | MPP-2007-162, LMU-ASC 69/07 | hep-th | null | We study D-branes in N=1 flux compactifications to AdS_4. We derive their
supersymmetry conditions and express them in terms of background generalized
calibrations. Basically because AdS has a boundary, the analysis of stability
is more subtle and qualitatively different from the usual case of Minkowski
compactifications. For instance, stable D-branes filling AdS_4 may wrap trivial
internal cycles. Our analysis gives a geometric realization of the
four-dimensional field theory approach of Freedman and collaborators.
Furthermore, the one-to-one correspondence between the supersymmetry conditions
of the background and the existence of generalized calibrations for D-branes is
clarified and extended to any supersymmetric flux background that admits a
time-like Killing vector and for which all fields are time-independent with
respect to the associated time. As explicit examples, we discuss supersymmetric
D-branes on IIA nearly Kaehler AdS_4 flux compactifications.
| [
{
"created": "Tue, 30 Oct 2007 19:40:31 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Jan 2008 12:40:40 GMT",
"version": "v2"
}
] | 2011-02-25 | [
[
"Koerber",
"Paul",
""
],
[
"Martucci",
"Luca",
""
]
] | We study D-branes in N=1 flux compactifications to AdS_4. We derive their supersymmetry conditions and express them in terms of background generalized calibrations. Basically because AdS has a boundary, the analysis of stability is more subtle and qualitatively different from the usual case of Minkowski compactifications. For instance, stable D-branes filling AdS_4 may wrap trivial internal cycles. Our analysis gives a geometric realization of the four-dimensional field theory approach of Freedman and collaborators. Furthermore, the one-to-one correspondence between the supersymmetry conditions of the background and the existence of generalized calibrations for D-branes is clarified and extended to any supersymmetric flux background that admits a time-like Killing vector and for which all fields are time-independent with respect to the associated time. As explicit examples, we discuss supersymmetric D-branes on IIA nearly Kaehler AdS_4 flux compactifications. |
2401.12960 | Artem Averin | Artem Averin | Framework for the Quantum Mechanical Sum of Possibilities and Meaning
for Field Theory and Gravity | null | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quantum mechanics, the measureable quantities of a given theory are
predicted by performing a weighted sum over possibilities. We show how to
arrange the possibilities into bundles such that the associated subsums can be
viewed as well-defined theories on their own right. These bundles are
submani$\textit{folds}$ of $\textit{possi}$bilities which we call possifolds.
We collect and prove some basic facts about possifolds. Especially, we show
that possifolds are ensembles of what in a certain broadly defined sense that
we explain can be regarded as soliton excitations (soliton-possifold
correspondence). We provide an outlook on some applications. Among other
things, we illustrate the use of the developed framework for the example of the
Lieb-Liniger model. It describes non-relativistic bosons with an attractive
interaction. We derive a dual theory describing the lowest-lying energy
excitation modes. While the standard Bogoliubov-approximation breaks down at
the critical point, our derived summation prescription stays regular. In the
Bogoliubov-limit we observe the summation to possess an enhanced symmetry at
this point while the summation cannot be ignored there. We finally provide a
glimpse on the restrictions black hole physics implies in this context for the
gravitational path integral.
| [
{
"created": "Tue, 23 Jan 2024 18:45:17 GMT",
"version": "v1"
}
] | 2024-01-24 | [
[
"Averin",
"Artem",
""
]
] | In quantum mechanics, the measureable quantities of a given theory are predicted by performing a weighted sum over possibilities. We show how to arrange the possibilities into bundles such that the associated subsums can be viewed as well-defined theories on their own right. These bundles are submani$\textit{folds}$ of $\textit{possi}$bilities which we call possifolds. We collect and prove some basic facts about possifolds. Especially, we show that possifolds are ensembles of what in a certain broadly defined sense that we explain can be regarded as soliton excitations (soliton-possifold correspondence). We provide an outlook on some applications. Among other things, we illustrate the use of the developed framework for the example of the Lieb-Liniger model. It describes non-relativistic bosons with an attractive interaction. We derive a dual theory describing the lowest-lying energy excitation modes. While the standard Bogoliubov-approximation breaks down at the critical point, our derived summation prescription stays regular. In the Bogoliubov-limit we observe the summation to possess an enhanced symmetry at this point while the summation cannot be ignored there. We finally provide a glimpse on the restrictions black hole physics implies in this context for the gravitational path integral. |
1303.0483 | Armen Nersessian | Alexei Deriglazov and Armen Nersessian | Rigid particle revisited: extrinsic curvature yields the Dirac equation | 4 pages, minor corrections, references added, Phys. Lett. A (in
print) | Phys.Lett A378:1224-1227, 2014 | 10.1016/j.physleta.2014.02.034 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reexamine the model of relativistic particle with higher-derivative term
linear on the first extrinsic curvature (rigidity). The passage from classical
to quantum theory requires a number of rather unexpected steps which we report
here. We found that, contrary to common opinion, quantization of the model in
terms of $so(3.2)$-algebra yields massive Dirac equation.
| [
{
"created": "Sun, 3 Mar 2013 10:05:31 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2014 15:47:11 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Mar 2014 10:14:37 GMT",
"version": "v3"
}
] | 2014-12-01 | [
[
"Deriglazov",
"Alexei",
""
],
[
"Nersessian",
"Armen",
""
]
] | We reexamine the model of relativistic particle with higher-derivative term linear on the first extrinsic curvature (rigidity). The passage from classical to quantum theory requires a number of rather unexpected steps which we report here. We found that, contrary to common opinion, quantization of the model in terms of $so(3.2)$-algebra yields massive Dirac equation. |
2204.10285 | Evgeny Skvortsov D | Evgeny Skvortsov and Richard Van Dongen | Minimal models of field theories: Chiral Higher Spin Gravity | 21 + Appendices + Refs = 34 pages; some typos fixed and comments
added | null | 10.1103/PhysRevD.106.045006 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | There exists a unique class of local Higher Spin Gravities with propagating
massless fields in $4d$ - Chiral Higher Spin Gravity. Originally, it was
formulated in the light-cone gauge. We construct a covariant form of this
theory as a Free Differential Algebra up to NLO, i.e. at the level of equations
of motion. It also contains the recently discovered covariant forms of the
higher spin extensions of SDYM and SDGR, as well as SDYM and SDGR themselves.
From the mathematical viewpoint the result is equivalent to taking the minimal
model (in the sense of $L_\infty$-algebras) of the jet-space extension of the
BV-BRST formulation of Chiral Higher Spin Gravity, thereby, containing also
information about (presymplectic AKSZ) action, counterterms, anomalies, etc.
| [
{
"created": "Thu, 21 Apr 2022 17:28:46 GMT",
"version": "v1"
},
{
"created": "Tue, 10 May 2022 15:03:26 GMT",
"version": "v2"
}
] | 2022-08-17 | [
[
"Skvortsov",
"Evgeny",
""
],
[
"Van Dongen",
"Richard",
""
]
] | There exists a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity. Originally, it was formulated in the light-cone gauge. We construct a covariant form of this theory as a Free Differential Algebra up to NLO, i.e. at the level of equations of motion. It also contains the recently discovered covariant forms of the higher spin extensions of SDYM and SDGR, as well as SDYM and SDGR themselves. From the mathematical viewpoint the result is equivalent to taking the minimal model (in the sense of $L_\infty$-algebras) of the jet-space extension of the BV-BRST formulation of Chiral Higher Spin Gravity, thereby, containing also information about (presymplectic AKSZ) action, counterterms, anomalies, etc. |
hep-th/0508220 | Joshua Friess | Joshua J. Friess, Steven S. Gubser, Indrajit Mitra | Counter-examples to the correlated stability conjecture | 18 pages, 5 figures. v2: minor improvements, reference added | Phys.Rev.D72:104019,2005 | 10.1103/PhysRevD.72.104019 | PUPT-2173, UCB-PTH-05/23, LBNL-58744 | hep-th | null | We demonstrate explicit counter-examples to the Correlated Stability
Conjecture (CSC), which claims that the horizon of a black brane is unstable
precisely if that horizon has a thermodynamic instability, meaning that its
matrix of susceptibilities has a negative eigenvalue. These examples involve
phase transitions near the horizon. Ways to restrict or revise the CSC are
suggested. One of our examples shows that N=1* gauge theory has a second order
chiral symmetry breaking phase transition at a temperature well above the
confinement scale.
| [
{
"created": "Tue, 30 Aug 2005 19:09:02 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Oct 2005 22:23:33 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Friess",
"Joshua J.",
""
],
[
"Gubser",
"Steven S.",
""
],
[
"Mitra",
"Indrajit",
""
]
] | We demonstrate explicit counter-examples to the Correlated Stability Conjecture (CSC), which claims that the horizon of a black brane is unstable precisely if that horizon has a thermodynamic instability, meaning that its matrix of susceptibilities has a negative eigenvalue. These examples involve phase transitions near the horizon. Ways to restrict or revise the CSC are suggested. One of our examples shows that N=1* gauge theory has a second order chiral symmetry breaking phase transition at a temperature well above the confinement scale. |
hep-th/0406032 | Marco Bellacosa | Marco Bellacosa (Bologna University) | Finite size effects in integrable quantum field theory: the sine-Gordon
model with boundaries | PhD thesis, 107 pages, 18 figures, v2: misprints corrected,
references added | null | null | null | hep-th | null | In this thesis we review recent progresses on Nonlinear Integral Equation
approach to finite size effects in two dimensional integrable quantum field
theory with boundaries, with emphasis to sine-Gordon model with Dirichlet
boundary conditions. Exact calculations of the dependence of the energy
spectrum on the size and on boundary conditions are presented for vacuum and
many excited states.
| [
{
"created": "Thu, 3 Jun 2004 09:08:37 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2004 10:15:09 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bellacosa",
"Marco",
"",
"Bologna University"
]
] | In this thesis we review recent progresses on Nonlinear Integral Equation approach to finite size effects in two dimensional integrable quantum field theory with boundaries, with emphasis to sine-Gordon model with Dirichlet boundary conditions. Exact calculations of the dependence of the energy spectrum on the size and on boundary conditions are presented for vacuum and many excited states. |
1711.07942 | S. Weinzierl | Leonardo de la Cruz, Alexander Kniss and Stefan Weinzierl | Properties of scattering forms and their relation to associahedra | 40 pages, version to be published | null | 10.1007/JHEP03(2018)064 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the half-integrands in the CHY representation of tree amplitudes
give rise to the definition of differential forms -- the scattering forms -- on
the moduli space of a Riemann sphere with $n$ marked points. These differential
forms have some remarkable properties. We show that all singularities are on
the divisor $\overline{\mathcal M}_{0,n} \backslash {\mathcal M}_{0,n}$. Each
singularity is logarithmic and the residue factorises into two differential
forms of lower points. In order for this to work, we provide a threefold
generalisation of the CHY polarisation factor (also known as reduced Pfaffian)
towards off-shell momenta, unphysical polarisations and away from the solutions
of the scattering equations. We discuss explicitly the cases of bi-adjoint
scalar amplitudes, Yang-Mills amplitudes and gravity amplitudes.
| [
{
"created": "Tue, 21 Nov 2017 18:05:11 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2018 21:34:18 GMT",
"version": "v2"
}
] | 2018-04-04 | [
[
"de la Cruz",
"Leonardo",
""
],
[
"Kniss",
"Alexander",
""
],
[
"Weinzierl",
"Stefan",
""
]
] | We show that the half-integrands in the CHY representation of tree amplitudes give rise to the definition of differential forms -- the scattering forms -- on the moduli space of a Riemann sphere with $n$ marked points. These differential forms have some remarkable properties. We show that all singularities are on the divisor $\overline{\mathcal M}_{0,n} \backslash {\mathcal M}_{0,n}$. Each singularity is logarithmic and the residue factorises into two differential forms of lower points. In order for this to work, we provide a threefold generalisation of the CHY polarisation factor (also known as reduced Pfaffian) towards off-shell momenta, unphysical polarisations and away from the solutions of the scattering equations. We discuss explicitly the cases of bi-adjoint scalar amplitudes, Yang-Mills amplitudes and gravity amplitudes. |
hep-th/9603089 | Jose L. Fernandez-Barbon | E. Alvarez, J.L.F. Barbon and J. Borlaf | T-duality for open strings | 32 pp | Nucl.Phys. B479 (1996) 218-242 | 10.1016/0550-3213(96)00455-5 | FTUAM-96-11, PUPT-96-1601 | hep-th | null | The T-duality transformations between open and closed superstrings in
different D-manifolds are generalized to curved backgrounds with commuting
isometries. We address some global aspects like the occurrence of orientifold
boundaries in general sigma models, higher genus world sheets, and the case of
non-compact isometries. The various world volume effective actions are shown to
transform properly under T-duality. We also include a brief discussion of the
canonical transformations of boundary states in the operator formalism.
| [
{
"created": "Wed, 13 Mar 1996 23:51:56 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Alvarez",
"E.",
""
],
[
"Barbon",
"J. L. F.",
""
],
[
"Borlaf",
"J.",
""
]
] | The T-duality transformations between open and closed superstrings in different D-manifolds are generalized to curved backgrounds with commuting isometries. We address some global aspects like the occurrence of orientifold boundaries in general sigma models, higher genus world sheets, and the case of non-compact isometries. The various world volume effective actions are shown to transform properly under T-duality. We also include a brief discussion of the canonical transformations of boundary states in the operator formalism. |
2004.11628 | Farzad Omidi | Farzad Omidi | Regularizations of Action-Complexity for a Pure BTZ Black Hole
Microstate | 34 pages, 7 figures, V2: typos corrected, references updated,
Published version | JHEP 07 (2020) 020 | 10.1007/JHEP07(2020)020 | IPM/P-2020/007 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the action-complexity proposal there are two different methods to
regularize the gravitational on-shell action, which are equivalent in the
framework of AdS/CFT. In this paper, we want to study the equivalence of them
for a pure BTZ black hole microstate. The microstate is obtained from a
two-sided BTZ black hole truncated by a dynamical timelike ETW brane. Moreover,
it is dual to a finite energy pure state in a two-dimensional CFT. We show that
if one includes the timelike counterterms inspired by holographic
renormalization as well as the Gibbons-Hawking-York term on the timelike
boundary of the WDW patch, which exists in one of the regularizations, the
coefficients of the UV divergent terms of action-complexity in the two methods
become equal to each other. Furthermore, we compare the finite terms of
action-complexity in both regularizations, and show that when the UV cutoff
surface is close enough to the asymptotic boundary of the bulk spacetime,
action-complexities in both regularizations become exactly equal to each other.
| [
{
"created": "Fri, 24 Apr 2020 09:57:44 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jul 2020 11:06:01 GMT",
"version": "v2"
}
] | 2021-02-18 | [
[
"Omidi",
"Farzad",
""
]
] | In the action-complexity proposal there are two different methods to regularize the gravitational on-shell action, which are equivalent in the framework of AdS/CFT. In this paper, we want to study the equivalence of them for a pure BTZ black hole microstate. The microstate is obtained from a two-sided BTZ black hole truncated by a dynamical timelike ETW brane. Moreover, it is dual to a finite energy pure state in a two-dimensional CFT. We show that if one includes the timelike counterterms inspired by holographic renormalization as well as the Gibbons-Hawking-York term on the timelike boundary of the WDW patch, which exists in one of the regularizations, the coefficients of the UV divergent terms of action-complexity in the two methods become equal to each other. Furthermore, we compare the finite terms of action-complexity in both regularizations, and show that when the UV cutoff surface is close enough to the asymptotic boundary of the bulk spacetime, action-complexities in both regularizations become exactly equal to each other. |
hep-th/0312218 | Radu Roiban | Radu Roiban | On spin chains and field theories | 22 pages, Latex; v2. typos corrected | JHEP0409:023,2004 | 10.1088/1126-6708/2004/09/023 | null | hep-th | null | We point out that the existence of global symmetries in a field theory is not
an essential ingredient in its relation with an integrable model. We describe
an obvious construction which, given an integrable spin chain, yields a field
theory whose 1-loop scale transformations are generated by the spin chain
Hamiltonian. We also identify a necessary condition for a given field theory to
be related to an integrable spin chain.
As an example, we describe an anisotropic and parity-breaking generalization
of the XXZ Heisenberg spin chain and its associated field theory. The system
has no nonabelian global symmetries and generally does not admit a
supersymmetric extension without the introduction of more propagating bosonic
fields. For the case of a 2-state chain we find the spectrum and the
eigenstates. For certain values of its coupling constants the field theory
associated to this general type of chain is the bosonic sector of the
Leigh-Strassler deformation of N=4 SYM theory.
| [
{
"created": "Wed, 17 Dec 2003 23:23:06 GMT",
"version": "v1"
},
{
"created": "Thu, 6 May 2004 16:32:11 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Roiban",
"Radu",
""
]
] | We point out that the existence of global symmetries in a field theory is not an essential ingredient in its relation with an integrable model. We describe an obvious construction which, given an integrable spin chain, yields a field theory whose 1-loop scale transformations are generated by the spin chain Hamiltonian. We also identify a necessary condition for a given field theory to be related to an integrable spin chain. As an example, we describe an anisotropic and parity-breaking generalization of the XXZ Heisenberg spin chain and its associated field theory. The system has no nonabelian global symmetries and generally does not admit a supersymmetric extension without the introduction of more propagating bosonic fields. For the case of a 2-state chain we find the spectrum and the eigenstates. For certain values of its coupling constants the field theory associated to this general type of chain is the bosonic sector of the Leigh-Strassler deformation of N=4 SYM theory. |
1409.1245 | Adolfo Malbouisson | F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E. Santana | Quantum field theory on toroidal topology: algebraic structure and
applications | 89 pages, 16 figures | Physics Reports, vol. 539, p. 135-224, 2014 | 10.1016/j.physrep.2014.02.002 | null | hep-th cond-mat.soft hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The development of quantum theory on a torus has a long history, and can be
traced back to the 1920s, with the attempts by Nordstr\"om, Kaluza and Klein to
define a fourth spatial dimension with a finite size, being curved in the form
of a torus, such that Einstein and Maxwell equations would be unified. Many
developments were carried out considering cosmological problems in association
with particles physics, leading to methods that are useful for areas of
physics, in which size effects play an important role. This interest in finite
size effect systems has been increasing rapidly over the last decades, due
principally to experimental improvements. In this review, the foundations of
compactified quantum field theory on a torus are presented in a unified way, in
order to consider applications in particle and condensed matted physics.
| [
{
"created": "Wed, 3 Sep 2014 20:04:27 GMT",
"version": "v1"
}
] | 2014-09-05 | [
[
"Khanna",
"F. C.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Santana",
"A. E.",
""
]
] | The development of quantum theory on a torus has a long history, and can be traced back to the 1920s, with the attempts by Nordstr\"om, Kaluza and Klein to define a fourth spatial dimension with a finite size, being curved in the form of a torus, such that Einstein and Maxwell equations would be unified. Many developments were carried out considering cosmological problems in association with particles physics, leading to methods that are useful for areas of physics, in which size effects play an important role. This interest in finite size effect systems has been increasing rapidly over the last decades, due principally to experimental improvements. In this review, the foundations of compactified quantum field theory on a torus are presented in a unified way, in order to consider applications in particle and condensed matted physics. |
1905.08753 | Vladislav Kupriyanov | Vladislav G. Kupriyanov | Non-commutative deformation of Chern-Simons theory | 33 pages, published version, exposition improved, new material
regarding the definition of the non-commutative field strength and the
treatment of the non-commutativity of general form added | null | 10.1140/epjc/s10052-019-7573-y | null | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The problem of the consistent definition of gauge theories living on the
non-commutative (NC) spaces with a non-constant NC parameter $\Theta(x)$ is
discussed. Working in the L$_\infty$ formalism we specify the undeformed
theory, $3$d abelian Chern-Simons, by setting the initial $\ell_1$ brackets.
The deformation is introduced by assigning the star commutator to the $\ell_2$
bracket. For this initial set up we construct the corresponding L$_\infty$
structure which defines both the NC deformation of the abelian gauge
transformations and the field equations covariant under these transformations.
To compensate the violation of the Leibniz rule one needs the higher brackets
which are proportional to the derivatives of $\Theta$. Proceeding in the slowly
varying field approximation when the star commutator is approximated by the
Poisson bracket we derive the recurrence relations for the definition of these
brackets for arbitrary $\Theta$. For the particular case of $su(2)$-like NC
space we obtain an explicit all orders formulas for both NC gauge
transformations and NC deformation of Chern-Simons equations. The latter are
non-Lagrangian and are satisfied if the NC field strength vanishes everywhere.
| [
{
"created": "Tue, 21 May 2019 17:03:05 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2020 15:20:13 GMT",
"version": "v2"
}
] | 2020-01-24 | [
[
"Kupriyanov",
"Vladislav G.",
""
]
] | The problem of the consistent definition of gauge theories living on the non-commutative (NC) spaces with a non-constant NC parameter $\Theta(x)$ is discussed. Working in the L$_\infty$ formalism we specify the undeformed theory, $3$d abelian Chern-Simons, by setting the initial $\ell_1$ brackets. The deformation is introduced by assigning the star commutator to the $\ell_2$ bracket. For this initial set up we construct the corresponding L$_\infty$ structure which defines both the NC deformation of the abelian gauge transformations and the field equations covariant under these transformations. To compensate the violation of the Leibniz rule one needs the higher brackets which are proportional to the derivatives of $\Theta$. Proceeding in the slowly varying field approximation when the star commutator is approximated by the Poisson bracket we derive the recurrence relations for the definition of these brackets for arbitrary $\Theta$. For the particular case of $su(2)$-like NC space we obtain an explicit all orders formulas for both NC gauge transformations and NC deformation of Chern-Simons equations. The latter are non-Lagrangian and are satisfied if the NC field strength vanishes everywhere. |
2404.15940 | De-Liang Zhong | Khen Cohen, Yaron Oz, De-liang Zhong | Complexity Measure Diagnostics of Ergodic to Many-Body Localization
Transition | 6+10 pages, 7+ 15 figures | null | null | null | hep-th cond-mat.stat-mech quant-ph | http://creativecommons.org/licenses/by/4.0/ | We introduce new diagnostics of the transition between the ergodic and
many-body localization phases, which are based on complexity measures defined
via the probability distribution function of the Lanczos coefficients of the
tri-diagonalized Hamiltonian. We use these complexity measures to analyze the
power-law random banded matrix model as a function of the correlation strength
and show that the moments and the entropy of the distribution diagnose the
ergodic to many-body transition, as well as the distinctive feature of the
phases concerning the memory of the initial conditions.
| [
{
"created": "Wed, 24 Apr 2024 16:00:31 GMT",
"version": "v1"
}
] | 2024-04-25 | [
[
"Cohen",
"Khen",
""
],
[
"Oz",
"Yaron",
""
],
[
"Zhong",
"De-liang",
""
]
] | We introduce new diagnostics of the transition between the ergodic and many-body localization phases, which are based on complexity measures defined via the probability distribution function of the Lanczos coefficients of the tri-diagonalized Hamiltonian. We use these complexity measures to analyze the power-law random banded matrix model as a function of the correlation strength and show that the moments and the entropy of the distribution diagnose the ergodic to many-body transition, as well as the distinctive feature of the phases concerning the memory of the initial conditions. |
1309.2557 | Emil Akhmedov | E.T. Akhmedov | Lecture notes on interacting quantum fields in de Sitter space | 60 pages, 8 figures, Misprints are further corrected | International Journal of Modern Physics D, Vol. 23, No. 1 (2014)
1430001 | 10.1142/S0218271814300018 | ITEP-TH-32/13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss peculiarities of quantum fields in de Sitter space on the example
of the self-interacting massive real scalar, minimally coupled to the gravity
background. Non-conformal quantum field theories in de Sitter space show very
special infrared behavior, which is not shared by quantum fields neither in
flat nor in anti-de-Sitter space: in de Sitter space loops are not suppressed
in comparison with tree level contributions because there are strong infrared
corrections. That is true even for massive fields. Our main concern is the
interrelation between these infrared effects, the invariance of the quantum
field theory under the de Sitter isometry and the (in)stability of de Sitter
invariant states (and of dS space itself) under nonsymmetric perturbations.
| [
{
"created": "Tue, 10 Sep 2013 15:59:26 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Oct 2013 11:27:46 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Nov 2013 19:00:13 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Dec 2014 18:54:46 GMT",
"version": "v4"
},
{
"c... | 2018-01-03 | [
[
"Akhmedov",
"E. T.",
""
]
] | We discuss peculiarities of quantum fields in de Sitter space on the example of the self-interacting massive real scalar, minimally coupled to the gravity background. Non-conformal quantum field theories in de Sitter space show very special infrared behavior, which is not shared by quantum fields neither in flat nor in anti-de-Sitter space: in de Sitter space loops are not suppressed in comparison with tree level contributions because there are strong infrared corrections. That is true even for massive fields. Our main concern is the interrelation between these infrared effects, the invariance of the quantum field theory under the de Sitter isometry and the (in)stability of de Sitter invariant states (and of dS space itself) under nonsymmetric perturbations. |
2207.13112 | Dorin Weissman | Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein, Dorin Weissman | Measure for chaotic scattering amplitudes | v2: small corrections, references added; v3: minor improvements to
match published version | Phys. Rev. Lett. 129 (2022), 261601 | 10.1103/PhysRevLett.129.261601 | null | hep-th math-ph math.MP nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a novel measure of chaotic scattering amplitudes. It takes the
form of a log-normal distribution function for the ratios
$r_n={\delta_n}/{\delta_{n+1}}$ of (consecutive) spacings $\delta_n$ between
two (consecutive) peaks of the scattering amplitude. We show that the same
measure applies to the quantum mechanical scattering on a leaky torus as well
as to the decay of highly excited string states into two tachyons. Quite
remarkably the $r_n$ obey the same distribution that governs the non-trivial
zeros of Riemann zeta function.
| [
{
"created": "Tue, 26 Jul 2022 18:03:04 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Sep 2022 04:34:58 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jan 2023 05:28:20 GMT",
"version": "v3"
}
] | 2023-02-14 | [
[
"Bianchi",
"Massimo",
""
],
[
"Firrotta",
"Maurizio",
""
],
[
"Sonnenschein",
"Jacob",
""
],
[
"Weissman",
"Dorin",
""
]
] | We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios $r_n={\delta_n}/{\delta_{n+1}}$ of (consecutive) spacings $\delta_n$ between two (consecutive) peaks of the scattering amplitude. We show that the same measure applies to the quantum mechanical scattering on a leaky torus as well as to the decay of highly excited string states into two tachyons. Quite remarkably the $r_n$ obey the same distribution that governs the non-trivial zeros of Riemann zeta function. |
2305.06768 | Garreth Kemp | Garreth Kemp | A generalized dominance ordering for 1/2-BPS states | null | null | 10.1007/JHEP09(2023)039 | null | hep-th quant-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We discuss a generalized dominance ordering for irreducible representations
of the symmetric group $S_{n}$ with the aim of distinguishing the corresponding
states in the 1/2-BPS sector of $U(N)$ Super Yang-Mills theory when a certain
finite number of Casimir operators are known. Having knowledge of a restricted
set of Casimir operators was proposed as a mechanism for information loss in
this sector and its dual gravity theory in AdS$_{5}\times S^{5}$. It is
well-known that the states in this sector are labeled by Young diagrams with
$n$ boxes. We propose a generalization of the well-known dominance ordering of
Young diagrams. Using this generalization, we posit a conjecture to determine
an upper bound for the number of Casimir operators needed to distinguish
between the 1/2-BPS states and thus also between their duals in the gravity
theory. We offer numerical and analytic evidence for the conjecture. Lastly, we
discuss implications of this conjecture when the energy $n$ of the states is
asymptotically large.
| [
{
"created": "Thu, 11 May 2023 12:49:25 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Mar 2024 11:42:15 GMT",
"version": "v2"
}
] | 2024-03-15 | [
[
"Kemp",
"Garreth",
""
]
] | We discuss a generalized dominance ordering for irreducible representations of the symmetric group $S_{n}$ with the aim of distinguishing the corresponding states in the 1/2-BPS sector of $U(N)$ Super Yang-Mills theory when a certain finite number of Casimir operators are known. Having knowledge of a restricted set of Casimir operators was proposed as a mechanism for information loss in this sector and its dual gravity theory in AdS$_{5}\times S^{5}$. It is well-known that the states in this sector are labeled by Young diagrams with $n$ boxes. We propose a generalization of the well-known dominance ordering of Young diagrams. Using this generalization, we posit a conjecture to determine an upper bound for the number of Casimir operators needed to distinguish between the 1/2-BPS states and thus also between their duals in the gravity theory. We offer numerical and analytic evidence for the conjecture. Lastly, we discuss implications of this conjecture when the energy $n$ of the states is asymptotically large. |
hep-th/9803161 | Elcio Abdalla | Elcio Abdalla and M. Reza Rahimi Tabar | Phase Transition in a Self--Gravitating Planar Gas | corrections made and discussions enlarged; to appear P.L.B | Phys.Lett. B440 (1998) 339-344 | 10.1016/S0370-2693(98)01101-0 | null | hep-th cond-mat | null | We consider a gas of Newtonian self-gravitating particles in two-dimensional
space, finding a phase transition, with a high temperature homogeneous phase
and a low temperature clumped one. We argue that the system is described in
terms of a gas with fractal behaviour.
| [
{
"created": "Thu, 19 Mar 1998 17:18:04 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 1998 14:26:48 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Abdalla",
"Elcio",
""
],
[
"Tabar",
"M. Reza Rahimi",
""
]
] | We consider a gas of Newtonian self-gravitating particles in two-dimensional space, finding a phase transition, with a high temperature homogeneous phase and a low temperature clumped one. We argue that the system is described in terms of a gas with fractal behaviour. |
hep-th/9910202 | Markus A. Luty | Markus A. Luty and Raman Sundrum | Radius Stabilization and Anomaly-Mediated Supersymmetry Breaking | 20 pages, LaTeX2e | Phys.Rev.D62:035008,2000 | 10.1103/PhysRevD.62.035008 | NSF-ITP-99-115; SU-ITP-99/44; UMD-PP-00-031 | hep-th hep-ph | null | We analyze in detail a specific 5-dimensional realization of a
"brane-universe" scenario where the visible and hidden sectors are localized on
spatially separated 3-branes coupled only by supergravity, with supersymmetry
breaking originating in the hidden sector. Although general power counting
allows order 1/M_{Planck}^2 contact terms between the two sectors in the
4-dimensional theory from exchange of supergravity Kaluza-Klein modes, we show
that they are not present by carefully matching to the 5-dimensional theory. We
also find that the radius modulus corresponding to the size of the compactified
dimension must be stabilized by additional dynamics in order to avoid run-away
behavior after supersymmetry breaking and to understand the communication of
supersymmetry breaking. We stabilize the radius by adding two pure Yang--Mills
sectors, one in the bulk and the other localized on a brane. Gaugino
condensation in the 4-dimensional effective theory generates a superpotential
that can naturally fix the radius at a sufficiently large value that
supersymmetry breaking is communicated dominantly by the recently-discovered
mechanism of anomaly mediation. The mass of the radius modulus is large
compared to m_{3/2}. The stabilization mechanism requires only parameters of
order one at the fundamental scale, with no fine-tuning except for the
cosmological constant.
| [
{
"created": "Tue, 26 Oct 1999 13:10:28 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Luty",
"Markus A.",
""
],
[
"Sundrum",
"Raman",
""
]
] | We analyze in detail a specific 5-dimensional realization of a "brane-universe" scenario where the visible and hidden sectors are localized on spatially separated 3-branes coupled only by supergravity, with supersymmetry breaking originating in the hidden sector. Although general power counting allows order 1/M_{Planck}^2 contact terms between the two sectors in the 4-dimensional theory from exchange of supergravity Kaluza-Klein modes, we show that they are not present by carefully matching to the 5-dimensional theory. We also find that the radius modulus corresponding to the size of the compactified dimension must be stabilized by additional dynamics in order to avoid run-away behavior after supersymmetry breaking and to understand the communication of supersymmetry breaking. We stabilize the radius by adding two pure Yang--Mills sectors, one in the bulk and the other localized on a brane. Gaugino condensation in the 4-dimensional effective theory generates a superpotential that can naturally fix the radius at a sufficiently large value that supersymmetry breaking is communicated dominantly by the recently-discovered mechanism of anomaly mediation. The mass of the radius modulus is large compared to m_{3/2}. The stabilization mechanism requires only parameters of order one at the fundamental scale, with no fine-tuning except for the cosmological constant. |
hep-th/0110080 | Betti Hartmann | Yves Brihaye (University of Mons, Belgium) and Betti Hartmann
(University of Durham, United Kingdom) | Bound monopoles in the presence of a dilaton | 9 latex pages, 3 figures; 2 references added, conclusions extended | Phys.Lett.B528:288-294,2002 | 10.1016/S0370-2693(02)01202-9 | null | hep-th | null | We study axially symmetric monopoles of both the SU(2)
Yang-Mills-Higgs-Dilaton (YMHD) as well as of the SU(2)
Einstein-Yang-Mills-Higgs-Dilaton (EYMHD) system. We find that equally to
gravity, the presence of the dilaton field can render an attractive phase. We
also study the influence of a massive dilaton on the attractive phase in the
YMHD system.
| [
{
"created": "Tue, 9 Oct 2001 18:59:15 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2002 11:17:24 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Brihaye",
"Yves",
"",
"University of Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"University of Durham, United Kingdom"
]
] | We study axially symmetric monopoles of both the SU(2) Yang-Mills-Higgs-Dilaton (YMHD) as well as of the SU(2) Einstein-Yang-Mills-Higgs-Dilaton (EYMHD) system. We find that equally to gravity, the presence of the dilaton field can render an attractive phase. We also study the influence of a massive dilaton on the attractive phase in the YMHD system. |
1511.00560 | Thomas Mertens | Thomas G. Mertens, Henri Verschelde, Valentin I. Zakharov | Revisiting noninteracting string partition functions in Rindler space | 33 pages, v2: added several clarifications including a section on the
difference between closed strings and the sum-of-fields approach, matches
published version | Phys. Rev. D 93, 104028 (2016) | 10.1103/PhysRevD.93.104028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit non-interacting string partition functions in Rindler space by
summing over fields in the spectrum. In field theory, the total partition
function splits in a natural way in a piece that does not contain surface terms
and a piece consisting of solely the so-called edge states. For open strings,
we illustrate that surface contributions to the higher spin fields correspond
to open strings piercing the Rindler origin, unifying the higher spin surface
contributions in string language. For closed strings, we demonstrate that the
string partition function is not quite the same as the sum over the partition
functions of the fields in the spectrum: an infinite overcounting is present
for the latter. Next we study the partition functions obtained by excluding the
surface terms. Using recent results of JHEP 1505 (2015) 106, this construction,
first done by Emparan, can be put on much firmer ground. We generalize to type
II and heterotic superstrings and demonstrate modular invariance. All of these
exhibit an IR divergence that can be interpreted as a maximal acceleration
close to the black hole horizon. Ultimately, since these partition functions
are only part of the full story, divergences here should not be viewed as a
failure of string theory: maximal acceleration is a feature of a faulty
treatment of the higher spin fields in the string spectrum. We comment on the
relevance of this to Solodukhin's recent proposal. A possible link with the
firewall paradox is apparent.
| [
{
"created": "Mon, 2 Nov 2015 15:47:33 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2016 01:20:54 GMT",
"version": "v2"
}
] | 2016-06-01 | [
[
"Mertens",
"Thomas G.",
""
],
[
"Verschelde",
"Henri",
""
],
[
"Zakharov",
"Valentin I.",
""
]
] | We revisit non-interacting string partition functions in Rindler space by summing over fields in the spectrum. In field theory, the total partition function splits in a natural way in a piece that does not contain surface terms and a piece consisting of solely the so-called edge states. For open strings, we illustrate that surface contributions to the higher spin fields correspond to open strings piercing the Rindler origin, unifying the higher spin surface contributions in string language. For closed strings, we demonstrate that the string partition function is not quite the same as the sum over the partition functions of the fields in the spectrum: an infinite overcounting is present for the latter. Next we study the partition functions obtained by excluding the surface terms. Using recent results of JHEP 1505 (2015) 106, this construction, first done by Emparan, can be put on much firmer ground. We generalize to type II and heterotic superstrings and demonstrate modular invariance. All of these exhibit an IR divergence that can be interpreted as a maximal acceleration close to the black hole horizon. Ultimately, since these partition functions are only part of the full story, divergences here should not be viewed as a failure of string theory: maximal acceleration is a feature of a faulty treatment of the higher spin fields in the string spectrum. We comment on the relevance of this to Solodukhin's recent proposal. A possible link with the firewall paradox is apparent. |
0802.0940 | Razvan-Gheorghe Gurau | Razvan Gurau | La renormalisation dans la theorie non commutative des champs | PhD thesis, french, 220 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non commutative quantum field theory is a possible candidate for the
quantization of gravity. In our thesis we study in detail the $\phi 4$ model on
the Moyal plane with an harmonic potential. Introduced by Grosse and
Wulkenhaar, this model exhibits the Langmann-Szabo duality not only for the
vertex but also for the propagator. We have obtained several results concerning
this model. We have proved the renormalisability of this theory at all orders
in the position space. We have introduced the parametric and Complete Mellin
representation for the model. Furthermore we have proved that the coupling
constant has a bounded flow at all orders in perturbation theory. Finally we
have achieved the dimensional regularization and renormalization of the model.
Further possible studies include the study of gauge theory on the Moyal plane
and there possible applications for the quantization of gravity. The
connections with string theory and loop quantum gravity should also be
investigated.
| [
{
"created": "Thu, 7 Feb 2008 10:37:07 GMT",
"version": "v1"
}
] | 2008-02-08 | [
[
"Gurau",
"Razvan",
""
]
] | Non commutative quantum field theory is a possible candidate for the quantization of gravity. In our thesis we study in detail the $\phi 4$ model on the Moyal plane with an harmonic potential. Introduced by Grosse and Wulkenhaar, this model exhibits the Langmann-Szabo duality not only for the vertex but also for the propagator. We have obtained several results concerning this model. We have proved the renormalisability of this theory at all orders in the position space. We have introduced the parametric and Complete Mellin representation for the model. Furthermore we have proved that the coupling constant has a bounded flow at all orders in perturbation theory. Finally we have achieved the dimensional regularization and renormalization of the model. Further possible studies include the study of gauge theory on the Moyal plane and there possible applications for the quantization of gravity. The connections with string theory and loop quantum gravity should also be investigated. |
hep-th/9609064 | Giovanni Amelino-Camelia | G. Amelino-Camelia and L. Hua | Comment on Partition Function of Anyon Gas | 5 pages, Tex (This paper, which was published in Phys. Rev. Lett. but
was not available on the archives, is cited in the paper
``Calogero-Sutherland Particles as Quasisemions'', hep-th/9609063) | Phys.Rev.Lett. 69 (1992) 2875-2876 | 10.1103/PhysRevLett.69.2875 | BUHEP-92-13 MIT-CTP-2089 | hep-th | null | The general structure of the partition function of an anyon gas is discussed,
especially in relation to statements made in Phys. Rev. Lett. 68 (1992) 1621
and Phys. Rev. Lett. 69( 1992) 2877.
| [
{
"created": "Sun, 8 Sep 1996 19:47:37 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Amelino-Camelia",
"G.",
""
],
[
"Hua",
"L.",
""
]
] | The general structure of the partition function of an anyon gas is discussed, especially in relation to statements made in Phys. Rev. Lett. 68 (1992) 1621 and Phys. Rev. Lett. 69( 1992) 2877. |
hep-th/0408102 | Corneliu Sochichiu | S. Bellucci, P.Y. Casteill, J.F. Morales, C. Sochichiu | Chaining spins from (super)Yang--Mills | 6 pages, 2 figures, Cotribution to the XI International Conference on
Symmetry Methods in Physics (SYMPHYS-11) | null | null | null | hep-th | null | We review the spin bit model describing anomalous dimensions of the operators
of Super Yang--Mills theory. We concentrate here on the scalar sector. In the
limit of large $N$ this model coincides with integrable spin chain while at
finite N it has nontrivial chain splitting and joining interaction.
| [
{
"created": "Thu, 12 Aug 2004 15:42:58 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Aug 2004 11:10:11 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bellucci",
"S.",
""
],
[
"Casteill",
"P. Y.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Sochichiu",
"C.",
""
]
] | We review the spin bit model describing anomalous dimensions of the operators of Super Yang--Mills theory. We concentrate here on the scalar sector. In the limit of large $N$ this model coincides with integrable spin chain while at finite N it has nontrivial chain splitting and joining interaction. |
2407.03416 | Mohamed Anber | Mohamed M. Anber, Samson Y.L. Chan | Global aspects of $3$-form gauge theory: implications for
axion-Yang-Mills systems | 42 pages, 1 figure | null | null | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the proposition that axion-Yang-Mills systems are
characterized by a $3$-form gauge theory in the deep infrared regime. This
hypothesis is rigorously examined by initially developing a systematic
framework for analyzing $3$-form gauge theory coupled to an axion, specifically
focusing on its global properties. The theory consists of a BF term deformed by
marginal and irrelevant operators and describes a network of vacua separated by
domain walls converging at the junction of an axion string. It encompasses
$(-1)$-, $0$-, and $3$-form spontaneously broken global symmetries. Utilizing
this framework, in conjunction with effective field theory techniques and 't
Hooft anomaly-matching conditions, we argue that the $3$-form gauge theory
faithfully captures the infrared physics of the axion-Yang-Mills system. The
ultraviolet theory is an $SU(N)$ Yang-Mills theory endowed with a massless
Dirac fermion coupled to a complex scalar and is characterized by chiral and
genuine $\mathbb{Z}_m^{(1)}$ 1-form center symmetries, with a mixed anomaly
between them. It features two scales: the vev of the complex scalar, $v$, and
the strong-coupling scale, $\Lambda$, with $\Lambda \ll v$. Below $v$, the
fermion decouples and two symmetries emerge: $U(1)^{(2)}$ $2$-form winding and
$\mathbb Z_N^{(1)}$ $1$-form center symmetries. As we flow below $\Lambda$,
matching the mixed anomaly necessitates introducing a dynamical $3$-form gauge
field of $U(1)^{(2)}$, which appears as the incarnation of a long-range tail of
the color field. The infrared theory possesses spontaneously broken chiral,
emergent $3$-form, and emergent $(-1)$-form global symmetries. It passes
several checks, among which: it displays the expected restructuring in the
hadronic sector upon transition between the vacua, and it is consistent under
the gauging of the genuine $\mathbb Z_m^{(1)}\subset \mathbb Z_N^{(1)}$
symmetry.
| [
{
"created": "Wed, 3 Jul 2024 18:00:09 GMT",
"version": "v1"
}
] | 2024-07-08 | [
[
"Anber",
"Mohamed M.",
""
],
[
"Chan",
"Samson Y. L.",
""
]
] | We investigate the proposition that axion-Yang-Mills systems are characterized by a $3$-form gauge theory in the deep infrared regime. This hypothesis is rigorously examined by initially developing a systematic framework for analyzing $3$-form gauge theory coupled to an axion, specifically focusing on its global properties. The theory consists of a BF term deformed by marginal and irrelevant operators and describes a network of vacua separated by domain walls converging at the junction of an axion string. It encompasses $(-1)$-, $0$-, and $3$-form spontaneously broken global symmetries. Utilizing this framework, in conjunction with effective field theory techniques and 't Hooft anomaly-matching conditions, we argue that the $3$-form gauge theory faithfully captures the infrared physics of the axion-Yang-Mills system. The ultraviolet theory is an $SU(N)$ Yang-Mills theory endowed with a massless Dirac fermion coupled to a complex scalar and is characterized by chiral and genuine $\mathbb{Z}_m^{(1)}$ 1-form center symmetries, with a mixed anomaly between them. It features two scales: the vev of the complex scalar, $v$, and the strong-coupling scale, $\Lambda$, with $\Lambda \ll v$. Below $v$, the fermion decouples and two symmetries emerge: $U(1)^{(2)}$ $2$-form winding and $\mathbb Z_N^{(1)}$ $1$-form center symmetries. As we flow below $\Lambda$, matching the mixed anomaly necessitates introducing a dynamical $3$-form gauge field of $U(1)^{(2)}$, which appears as the incarnation of a long-range tail of the color field. The infrared theory possesses spontaneously broken chiral, emergent $3$-form, and emergent $(-1)$-form global symmetries. It passes several checks, among which: it displays the expected restructuring in the hadronic sector upon transition between the vacua, and it is consistent under the gauging of the genuine $\mathbb Z_m^{(1)}\subset \mathbb Z_N^{(1)}$ symmetry. |
hep-th/0303018 | Timothy J. Hollowood | Timothy J. Hollowood and Tom Kingaby | A Comment on the chi_y Genus and Supersymmetric Quantum Mechanics | 6 pages, JHEP, References added | Phys.Lett. B566 (2003) 258-262 | 10.1016/S0370-2693(03)00842-6 | null | hep-th | null | In this note we show that a simple modification of supersymmetric quantum
mechanics involving a mass term for half the fermions naturally leads to a
derivation of the integral formula for the chi_y genus, a quantity that
interpolates between the Euler characteristic and arithmetic genus. We note
that this modification naturally arises in the moduli space dynamics of
monopoles or instantons in theories with 16 supercharges partially broken to 8
supercharges by mass terms.
| [
{
"created": "Mon, 3 Mar 2003 18:43:21 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Apr 2003 14:27:02 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Kingaby",
"Tom",
""
]
] | In this note we show that a simple modification of supersymmetric quantum mechanics involving a mass term for half the fermions naturally leads to a derivation of the integral formula for the chi_y genus, a quantity that interpolates between the Euler characteristic and arithmetic genus. We note that this modification naturally arises in the moduli space dynamics of monopoles or instantons in theories with 16 supercharges partially broken to 8 supercharges by mass terms. |
0711.3285 | Ali Altintas | Azmi Ali Altintas, Metin Arik | The Inhomogeneous Invariance Quantum Supergroup of Supersymmetry Algebra | 11 pages. No figure | Phys. Lett. A 372 (2008) 5955 | 10.1016/j.physleta.2008.07.070 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider an inhomogeneous quantum supergroup which leaves invariant a
supersymmetric particle algebra. The quantum sub-supergroups of this
inhomogeneous quantum supergroup are investigated.
| [
{
"created": "Wed, 21 Nov 2007 09:25:59 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Nov 2008 21:52:37 GMT",
"version": "v2"
}
] | 2008-11-15 | [
[
"Altintas",
"Azmi Ali",
""
],
[
"Arik",
"Metin",
""
]
] | We consider an inhomogeneous quantum supergroup which leaves invariant a supersymmetric particle algebra. The quantum sub-supergroups of this inhomogeneous quantum supergroup are investigated. |
1205.4243 | Dmitri Sorokin | Paolo Pasti, Dmitri Sorokin and Mario Tonin | Covariant actions for models with non-linear twisted self-duality | 1+21 pages, v2: typos corrected, references added | null | 10.1103/PhysRevD.86.045013 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a systematic way of the generalization, to models with non-linear
duality, of the space-time covariant and duality-invariant formulation of
duality-symmetric theories in which the covariance of the action is ensured by
the presence of a single auxiliary scalar field. It is shown that the
duality-symmetric action should be invariant under the two local symmetries
characteristic of this approach, which impose constraints on the form of the
action similar to those of Gaillard and Zumino and in the non-covariant
formalism. We show that the (twisted) self-duality condition obtained from this
action upon integrating its equations of motion can always be recast in a
manifestly covariant form which is independent of the auxiliary scalar and thus
corresponds to the conventional on-shell duality-symmetric covariant
description of the same model. Supersymmetrization of this construction is
briefly discussed.
| [
{
"created": "Fri, 18 May 2012 20:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Aug 2012 12:34:45 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Pasti",
"Paolo",
""
],
[
"Sorokin",
"Dmitri",
""
],
[
"Tonin",
"Mario",
""
]
] | We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the presence of a single auxiliary scalar field. It is shown that the duality-symmetric action should be invariant under the two local symmetries characteristic of this approach, which impose constraints on the form of the action similar to those of Gaillard and Zumino and in the non-covariant formalism. We show that the (twisted) self-duality condition obtained from this action upon integrating its equations of motion can always be recast in a manifestly covariant form which is independent of the auxiliary scalar and thus corresponds to the conventional on-shell duality-symmetric covariant description of the same model. Supersymmetrization of this construction is briefly discussed. |
hep-th/9909072 | Jeff Harvey | J. A. Harvey, S. Kachru, G. Moore and E. Silverstein | Tension is Dimension | 18 pages, harvmac (b), one ref added, one typo fixed | JHEP 0003:001,2000 | 10.1088/1126-6708/2000/03/001 | EFI-99-35,YCTP-22-99,SU-ITP-99/42,SLAC-PUB-8245 | hep-th | null | We propose a simple universal formula for the tension of a D-brane in terms
of a regularized dimension of the associated conformal field theory statespace.
| [
{
"created": "Fri, 10 Sep 1999 19:52:03 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jan 2000 21:27:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Harvey",
"J. A.",
""
],
[
"Kachru",
"S.",
""
],
[
"Moore",
"G.",
""
],
[
"Silverstein",
"E.",
""
]
] | We propose a simple universal formula for the tension of a D-brane in terms of a regularized dimension of the associated conformal field theory statespace. |
hep-th/0208046 | Dongsu Bak | Dongsu Bak | Thoughts on Big Bang | 3 pages, no figures, comments and references added | null | null | null | hep-th gr-qc | null | We present a consistent framework that enables us to understand the big bang
singularity of our universe.
| [
{
"created": "Tue, 6 Aug 2002 19:56:03 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Aug 2002 21:38:13 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bak",
"Dongsu",
""
]
] | We present a consistent framework that enables us to understand the big bang singularity of our universe. |
2111.06108 | Adar Sharon | Micha Berkooz, Adar Sharon, Navot Silberstein and Erez Y. Urbach | The onset of quantum chaos in disordered CFTs | Note: 40 pages plus appendices, 15 figures. The companion article
arXiv:2207.11980 includes a summary of the results which appear here | null | 10.1103/PhysRevD.106.045007 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We study the Lyapunov exponent $\lambda_L$ in quantum field theories with
spacetime-independent disorder interactions. Generically $\lambda_L$ can only
be computed at isolated points in parameter space, and little is known about
the way in which chaos grows as we deform the theory away from weak coupling.
In this paper we describe families of theories in which the disorder coupling
is an exactly marginal deformation, allowing us to follow $\lambda_L$ from weak
to strong coupling. We find surprising behaviors in some cases, including a
discontinuous transition into chaos. We also derive self-consistency equations
for the two- and four-point functions for products of $N$ nontrivial CFTs
deformed by disorder at leading order in $1/N$.
| [
{
"created": "Thu, 11 Nov 2021 09:06:54 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jul 2022 08:40:51 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Aug 2022 19:31:08 GMT",
"version": "v3"
}
] | 2022-08-31 | [
[
"Berkooz",
"Micha",
""
],
[
"Sharon",
"Adar",
""
],
[
"Silberstein",
"Navot",
""
],
[
"Urbach",
"Erez Y.",
""
]
] | We study the Lyapunov exponent $\lambda_L$ in quantum field theories with spacetime-independent disorder interactions. Generically $\lambda_L$ can only be computed at isolated points in parameter space, and little is known about the way in which chaos grows as we deform the theory away from weak coupling. In this paper we describe families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow $\lambda_L$ from weak to strong coupling. We find surprising behaviors in some cases, including a discontinuous transition into chaos. We also derive self-consistency equations for the two- and four-point functions for products of $N$ nontrivial CFTs deformed by disorder at leading order in $1/N$. |
hep-th/9905147 | Langmann Edwin | Edwin Langmann, Antti J. Niemi | Towards a string representation of infrared SU(2) Yang-Mills theory | 4 pages, no figure, RevTex | Phys.Lett.B463:252-256,1999 | 10.1016/S0370-2693(99)01000-X | null | hep-th hep-lat hep-ph | null | We employ a heat kernel expansion to derive an effective action that
describes four dimensional SU(2) Yang-Mills theory in the infrared limit. Our
result supports the proposal that at large distances the theory is approximated
by the dynamics of knotted string-like fluxtubes which appear as solitons in
the effective theory.
| [
{
"created": "Thu, 20 May 1999 09:44:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Langmann",
"Edwin",
""
],
[
"Niemi",
"Antti J.",
""
]
] | We employ a heat kernel expansion to derive an effective action that describes four dimensional SU(2) Yang-Mills theory in the infrared limit. Our result supports the proposal that at large distances the theory is approximated by the dynamics of knotted string-like fluxtubes which appear as solitons in the effective theory. |
1009.4944 | Jorge Ananias Neto | Jorge Ananias Neto | Nonhomogeneous Cooling, Entropic Gravity and MOND Theory | extended version. To appear in IJTP | null | 10.1007/s10773-011-0863-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, by using the holographic principle, a modified equipartition
theorem where we assume that below a critical temperature the energy is not
equally divided on all bits, and the Unruh temperature, we derive MOND theory
and a modified Friedmann equation compatible with MOND theory. Furthermore, we
rederive a modified Newton's law of gravitation by employing an adequate
redefinition of the numbers of bits.
| [
{
"created": "Fri, 24 Sep 2010 20:57:31 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Oct 2010 22:54:43 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Jun 2011 19:41:57 GMT",
"version": "v3"
}
] | 2015-05-20 | [
[
"Neto",
"Jorge Ananias",
""
]
] | In this paper, by using the holographic principle, a modified equipartition theorem where we assume that below a critical temperature the energy is not equally divided on all bits, and the Unruh temperature, we derive MOND theory and a modified Friedmann equation compatible with MOND theory. Furthermore, we rederive a modified Newton's law of gravitation by employing an adequate redefinition of the numbers of bits. |
hep-th/9402083 | Elcio Abdalla | A. Zadra and E. Abdalla | Non-critical superstrings: a comparison between continuum and discrete
approaches | 25 pages, plain tex, prep CERN-TH-7161/94 | Nucl.Phys.B432:163-186,1994 | 10.1016/0550-3213(94)90598-3 | null | hep-th | null | We review the relation between the matrix model and Liouville approaches to
two-dimensional gravity as elaborated by Moore, Seiberg and Staudacher. Then,
based on the supersymmetric Liouville formulation and the discrete eigenvalue
model proposed by Alvarez-Gaum\'e, Itoyama, Ma\~nes and Zadra, we extend the
previous relation to the supersymmetric case. The minisuperspace approximation
for the supersymmetric case is formulated, and the corresponding wave equation
is found.
| [
{
"created": "Tue, 15 Feb 1994 07:27:53 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Zadra",
"A.",
""
],
[
"Abdalla",
"E.",
""
]
] | We review the relation between the matrix model and Liouville approaches to two-dimensional gravity as elaborated by Moore, Seiberg and Staudacher. Then, based on the supersymmetric Liouville formulation and the discrete eigenvalue model proposed by Alvarez-Gaum\'e, Itoyama, Ma\~nes and Zadra, we extend the previous relation to the supersymmetric case. The minisuperspace approximation for the supersymmetric case is formulated, and the corresponding wave equation is found. |
1403.6107 | Brian Willett | Shlomo S. Razamat, Brian Willett | Down the rabbit hole with theories of class S | null | null | 10.1007/JHEP10(2014)099 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review some of the properties of 3d N=4 theories obtained by dimensionally
reducing theories of class S. We study 3d partition functions, and certain
limits thereof, for such theories, and the properties implied for these by 3d
mirror symmetry.
| [
{
"created": "Mon, 24 Mar 2014 19:56:45 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Razamat",
"Shlomo S.",
""
],
[
"Willett",
"Brian",
""
]
] | We review some of the properties of 3d N=4 theories obtained by dimensionally reducing theories of class S. We study 3d partition functions, and certain limits thereof, for such theories, and the properties implied for these by 3d mirror symmetry. |
1211.6442 | Taylor Hughes | Taylor L. Hughes, Robert G. Leigh, and Onkar Parrikar | Torsional Anomalies, Hall Viscosity, and Bulk-boundary Correspondence in
Topological States | 59 pages, 6 figures; v2 updated in response to referee comments.
Extra emphasis on universal viscosity term for curved spaces | Phys. Rev. D 88, 025040 (2013) | 10.1103/PhysRevD.88.025040 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the transport properties of topological insulators, encoding them in
a generating functional of gauge and gravitational sources. Much of our focus
is on the simple example of a free massive Dirac fermion, the so-called Chern
insulator, especially in 2+1 dimensions. In such cases, when parity and
time-reversal symmetry are broken, it is necessary to consider the
gravitational sources to include a frame and an independent spin connection
with torsion. In 2+1 dimensions, the simplest parity-odd response is the Hall
viscosity. We compute the Hall viscosity of the Chern insulator using a careful
regularization scheme, and find that although the Hall viscosity is generally
divergent, the difference in Hall viscosities of distinct topological phases is
well-defined and determined by the mass gap. Furthermore, on a 1+1-dimensional
edge between topological phases, the jump in the Hall viscosity across the
interface is encoded, through familiar anomaly inflow mechanisms, in the
structure of anomalies. In particular, we find new torsional contributions to
the covariant diffeomorphism anomaly in 1+1 dimensions. Including parity-even
contributions, we find that the renormalized generating functionals of the two
topological phases differ by a chiral gravity action with a negative
cosmological constant. This (non-dynamical) chiral gravity action and the
corresponding physics of the interface theory is reminiscent of well-known
properties of dynamical holographic gravitational systems. Finally, we consider
some properties of spectral flow of the edge theory driven by torsional
dislocations.
| [
{
"created": "Tue, 27 Nov 2012 21:01:00 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jun 2013 17:13:33 GMT",
"version": "v2"
}
] | 2013-08-21 | [
[
"Hughes",
"Taylor L.",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Parrikar",
"Onkar",
""
]
] | We study the transport properties of topological insulators, encoding them in a generating functional of gauge and gravitational sources. Much of our focus is on the simple example of a free massive Dirac fermion, the so-called Chern insulator, especially in 2+1 dimensions. In such cases, when parity and time-reversal symmetry are broken, it is necessary to consider the gravitational sources to include a frame and an independent spin connection with torsion. In 2+1 dimensions, the simplest parity-odd response is the Hall viscosity. We compute the Hall viscosity of the Chern insulator using a careful regularization scheme, and find that although the Hall viscosity is generally divergent, the difference in Hall viscosities of distinct topological phases is well-defined and determined by the mass gap. Furthermore, on a 1+1-dimensional edge between topological phases, the jump in the Hall viscosity across the interface is encoded, through familiar anomaly inflow mechanisms, in the structure of anomalies. In particular, we find new torsional contributions to the covariant diffeomorphism anomaly in 1+1 dimensions. Including parity-even contributions, we find that the renormalized generating functionals of the two topological phases differ by a chiral gravity action with a negative cosmological constant. This (non-dynamical) chiral gravity action and the corresponding physics of the interface theory is reminiscent of well-known properties of dynamical holographic gravitational systems. Finally, we consider some properties of spectral flow of the edge theory driven by torsional dislocations. |
0809.2789 | Mohamed Anber | Mohamed M. Anber | AdS4/CFT3+Gravity for Accelerating Conical Singularities | 27 pages,8 figures, 3 appendices | JHEP0811:026,2008 | 10.1088/1126-6708/2008/11/026 | null | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the quantum-mechanical corrections to two point particles
accelerated by a strut in a 2+1 D flat background. Since the particles are
accelerating, we use finite temperature techniques to compute the Green's
function of a conformally coupled scalar applying transparent and Dirichlet
boundary conditions at the location of the strut. We find that the induced
energy-momentum tensor diverges at the position of the strut unless we impose
transparent boundary conditions. Further, we use the regular form of the
induced energy-momentum tensor to calculate the gravitational backreaction on
the original space. The resulting metric is a constant $\phi$ section of the
4-dimensional C-metric, and it describes two black holes corrected by weakly
coupled CFT and accelerating in asymptotically flat spacetime. Interestingly
enough, the same form of the metric was obtained before in 0803.2242 by cutting
the AdS C-metric with angular dependent critical 2-brane. According to
AdS/CFT+gravity conjecture, the latter should describe strongly coupled CFT
black holes accelerating on the brane. The presence of the CFT at finite
temperature gives us a unique opportunity to study the AdS/CFT+gravity
conjecture at finite temperatures. We calculate various thermodynamic
parameters to shed light on the nature of the strongly coupled CFT. This is the
first use of the duality in a system containing accelerating particles on the
brane.
| [
{
"created": "Tue, 16 Sep 2008 20:03:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Anber",
"Mohamed M.",
""
]
] | We study the quantum-mechanical corrections to two point particles accelerated by a strut in a 2+1 D flat background. Since the particles are accelerating, we use finite temperature techniques to compute the Green's function of a conformally coupled scalar applying transparent and Dirichlet boundary conditions at the location of the strut. We find that the induced energy-momentum tensor diverges at the position of the strut unless we impose transparent boundary conditions. Further, we use the regular form of the induced energy-momentum tensor to calculate the gravitational backreaction on the original space. The resulting metric is a constant $\phi$ section of the 4-dimensional C-metric, and it describes two black holes corrected by weakly coupled CFT and accelerating in asymptotically flat spacetime. Interestingly enough, the same form of the metric was obtained before in 0803.2242 by cutting the AdS C-metric with angular dependent critical 2-brane. According to AdS/CFT+gravity conjecture, the latter should describe strongly coupled CFT black holes accelerating on the brane. The presence of the CFT at finite temperature gives us a unique opportunity to study the AdS/CFT+gravity conjecture at finite temperatures. We calculate various thermodynamic parameters to shed light on the nature of the strongly coupled CFT. This is the first use of the duality in a system containing accelerating particles on the brane. |
1304.4840 | Federico Piazza | Jerome Gleyzes, David Langlois, Federico Piazza and Filippo Vernizzi | Essential Building Blocks of Dark Energy | 26 pages, 1 table. v2: App. B added, references added, matches
published version | null | 10.1088/1475-7516/2013/08/025 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a minimal description of single field dark energy/modified gravity
within the effective field theory formalism for cosmological perturbations,
which encompasses most existing models. We start from a generic Lagrangian
given as an arbitrary function of the lapse and of the extrinsic and intrinsic
curvature tensors of the time hypersurfaces in unitary gauge, i.e. choosing as
time slicing the uniform scalar field hypersurfaces. Focusing on linear
perturbations, we identify seven Lagrangian operators that lead to equations of
motion containing at most two (space or time) derivatives, the background
evolution being determined by the time dependent coefficients of only three of
these operators. We then establish a dictionary that translates any existing or
future model whose Lagrangian can be written in the above form into our
parametrized framework. As an illustration, we study Horndeski's-or generalized
Galileon-theories and show that they can be described, up to linear order, by
only six of the seven operators mentioned above. This implies, remarkably, that
the dynamics of linear perturbations can be more general than that of Horndeski
while remaining second order. Finally, in order to make the link with
observations, we provide the entire set of linear perturbation equations in
Newtonian gauge, the effective Newton constant in the quasi-static
approximation and the ratio of the two gravitational potentials, in terms of
the time-dependent coefficients of our Lagrangian.
| [
{
"created": "Wed, 17 Apr 2013 14:36:06 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Sep 2013 16:59:30 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Gleyzes",
"Jerome",
""
],
[
"Langlois",
"David",
""
],
[
"Piazza",
"Federico",
""
],
[
"Vernizzi",
"Filippo",
""
]
] | We propose a minimal description of single field dark energy/modified gravity within the effective field theory formalism for cosmological perturbations, which encompasses most existing models. We start from a generic Lagrangian given as an arbitrary function of the lapse and of the extrinsic and intrinsic curvature tensors of the time hypersurfaces in unitary gauge, i.e. choosing as time slicing the uniform scalar field hypersurfaces. Focusing on linear perturbations, we identify seven Lagrangian operators that lead to equations of motion containing at most two (space or time) derivatives, the background evolution being determined by the time dependent coefficients of only three of these operators. We then establish a dictionary that translates any existing or future model whose Lagrangian can be written in the above form into our parametrized framework. As an illustration, we study Horndeski's-or generalized Galileon-theories and show that they can be described, up to linear order, by only six of the seven operators mentioned above. This implies, remarkably, that the dynamics of linear perturbations can be more general than that of Horndeski while remaining second order. Finally, in order to make the link with observations, we provide the entire set of linear perturbation equations in Newtonian gauge, the effective Newton constant in the quasi-static approximation and the ratio of the two gravitational potentials, in terms of the time-dependent coefficients of our Lagrangian. |
hep-th/9706071 | Finn Larsen | Mirjam Cvetic and Finn Larsen | Greybody factors for rotating black holes in four dimensions | 18 pages, latex; 1 typo corrected; version to appear in NPB | Nucl.Phys.B506:107-120,1997 | 10.1016/S0550-3213(97)00541-5 | UPR-755-T | hep-th gr-qc | null | We present the wave equation for a minimally coupled scalar field in the
background of a rotating four-dimensional black hole that is parametrized by
its mass, angular momentum, and four independent U(1) charges. The near horizon
structure is identical to the five-dimensional case, and suggestive of an
underlying description in string theory that is valid in the general
non-extremal case. We calculate the greybody factors for the Hawking radiation.
For sufficiently large partial wave number the emission spectrum can be
calculated for general non-extremal black holes and any particle energy. We
interpret this spectrum in terms of a multi-body process in an effective string
theory.
| [
{
"created": "Tue, 10 Jun 1997 22:05:42 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Aug 1997 14:40:05 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Larsen",
"Finn",
""
]
] | We present the wave equation for a minimally coupled scalar field in the background of a rotating four-dimensional black hole that is parametrized by its mass, angular momentum, and four independent U(1) charges. The near horizon structure is identical to the five-dimensional case, and suggestive of an underlying description in string theory that is valid in the general non-extremal case. We calculate the greybody factors for the Hawking radiation. For sufficiently large partial wave number the emission spectrum can be calculated for general non-extremal black holes and any particle energy. We interpret this spectrum in terms of a multi-body process in an effective string theory. |
0711.3026 | Sean A. Hartnoll | David E. Berenstein and Sean A. Hartnoll | Strings on conifolds from strong coupling dynamics: quantitative results | 1+28 pages. 1 figure | JHEP0803:072,2008 | 10.1088/1126-6708/2008/03/072 | null | hep-th | null | Three quantitative features of string theory on AdS_5 x X_5, for any
(quasi)regular Sasaki-Einstein X_5, are recovered exactly from an expansion of
field theory at strong coupling around configurations in the moduli space of
vacua. These configurations can be thought of as a generalized matrix model of
(local) commuting matrices. First, we reproduce the spectrum of scalar
Kaluza-Klein modes on X_5. Secondly, we recover the precise spectrum of BMN
string states, including a nontrivial dependence on the volume of X_5. Finally,
we show how the radial direction in global AdS_5 emerges universally in these
theories by exhibiting states dual to AdS giant gravitons.
| [
{
"created": "Tue, 20 Nov 2007 02:13:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Berenstein",
"David E.",
""
],
[
"Hartnoll",
"Sean A.",
""
]
] | Three quantitative features of string theory on AdS_5 x X_5, for any (quasi)regular Sasaki-Einstein X_5, are recovered exactly from an expansion of field theory at strong coupling around configurations in the moduli space of vacua. These configurations can be thought of as a generalized matrix model of (local) commuting matrices. First, we reproduce the spectrum of scalar Kaluza-Klein modes on X_5. Secondly, we recover the precise spectrum of BMN string states, including a nontrivial dependence on the volume of X_5. Finally, we show how the radial direction in global AdS_5 emerges universally in these theories by exhibiting states dual to AdS giant gravitons. |
hep-th/9808011 | Aleksandr I. Sokolov | A. I. Sokolov, E. V. Orlov, V. A. Ul'kov, and S. S. Kashtanov (Saint
Petersburg Electrotechnical University, St. Petersburg, Russia) | Universal effective action for O(n)-symmetric \lambda \phi^4 model from
renormalization group | 5 pages, LaTeX, no figures, reported at the XI Intern. Conf.
"Problems of Quantum Field Theory" (July 13-17, 1998, Dubna, Russia),
submitted to the Conference Proceedings | null | null | null | hep-th cond-mat hep-lat hep-ph | null | The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D
n-vector model are calculated in the 4-loop and 3-loop approximations
respectively. Resummation of the RG series for g_6 by the Pade-Borel-Leroy
technique results in the estimates for its universal critical values g_6^*(n)
which are argued to deviate from the exact numbers by less than 0.3%. The RG
expansion for g_8 demonstrates stronger divergence being much less suitable for
getting reliable numerical estimates.
| [
{
"created": "Tue, 4 Aug 1998 13:03:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sokolov",
"A. I.",
"",
"Saint\n Petersburg Electrotechnical University, St. Petersburg, Russia"
],
[
"Orlov",
"E. V.",
"",
"Saint\n Petersburg Electrotechnical University, St. Petersburg, Russia"
],
[
"Ul'kov",
"V. A.",
"",
"Saint\n Petersburg Electrotec... | The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the RG series for g_6 by the Pade-Borel-Leroy technique results in the estimates for its universal critical values g_6^*(n) which are argued to deviate from the exact numbers by less than 0.3%. The RG expansion for g_8 demonstrates stronger divergence being much less suitable for getting reliable numerical estimates. |
hep-th/0610136 | Andres Anabalon | Andres Anabalon, Steven Willison, Jorge Zanelli | General Relativity from a gauged WZW term | 9 pages, 1 figure. v2: Minor changes in section 1 and 2. Section 3,
rewritten | Phys.Rev.D75:024009,2007 | 10.1103/PhysRevD.75.024009 | CECS-PHY-06-21 | hep-th astro-ph gr-qc | null | In this paper two things are done. First it is shown how a four dimensional
gauged Wess-Zumino-Witten term arises from the five dimensional
Einstein-Hilbert plus Gauss-Bonnet lagrangian with a special choice of the
coefficients. Second, the way in which the equations of motion of
four-dimensional General Relativity arise is exhibited.
| [
{
"created": "Wed, 11 Oct 2006 22:35:25 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Dec 2006 14:26:47 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jan 2007 16:43:40 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Anabalon",
"Andres",
""
],
[
"Willison",
"Steven",
""
],
[
"Zanelli",
"Jorge",
""
]
] | In this paper two things are done. First it is shown how a four dimensional gauged Wess-Zumino-Witten term arises from the five dimensional Einstein-Hilbert plus Gauss-Bonnet lagrangian with a special choice of the coefficients. Second, the way in which the equations of motion of four-dimensional General Relativity arise is exhibited. |
1407.3617 | Rabin Banerjee | Rabin Banerjee, Arpita Mitra and Pradip Mukherjee | Localisation of the Galilean symmetry and dynamical realisation of
Newton-Cartan geometry | Section 2 omitted, section 3 shortened, minor changes elsewhere, main
results and conclusions unchanged; to appear in Classical and Quantum Gravity | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Newtonian gravity was formulated as a geometrodynamic theory as far back in
1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though
there are several approaches of realizing the algebraic structure of the Newton
Cartan geometry from a contraction of the relativistic results, a dynamical
(field theoretic) realization of it is lacking. In this paper we present such a
realization from the localisation of the Galilean Symmetry of nonrelativistic
matter field theories.
| [
{
"created": "Mon, 14 Jul 2014 12:11:18 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Nov 2014 11:03:28 GMT",
"version": "v2"
}
] | 2014-11-25 | [
[
"Banerjee",
"Rabin",
""
],
[
"Mitra",
"Arpita",
""
],
[
"Mukherjee",
"Pradip",
""
]
] | Newtonian gravity was formulated as a geometrodynamic theory as far back in 1930s by Elie Cartan in what is named aptly as Newton Cartan space time. Though there are several approaches of realizing the algebraic structure of the Newton Cartan geometry from a contraction of the relativistic results, a dynamical (field theoretic) realization of it is lacking. In this paper we present such a realization from the localisation of the Galilean Symmetry of nonrelativistic matter field theories. |
hep-th/9910194 | Gautam Mandal | Avinash Dhar, Gautam Mandal, Spenta R. Wadia and K.P. Yogendran | D1/D5 System with B-field, Noncommutative Geometry and the CFT of the
Higgs Branch | 23 pages, latex, uses subeqn.sty and fullpage.sty | Nucl.Phys. B575 (2000) 177-194 | 10.1016/S0550-3213(00)00066-3 | TIFR/TH/99-54, CERN-TH/99-321 | hep-th | null | The D1/D5 system is considered in the presence of the NS B field. An explicit
supergravity solution in the asymptotically flat and near horizon limits is
presented. Explicit mass formulae are presented in both cases. This solution
has no D3 source branes and represents a true bound state of the D1/D5 system.
We study the motion of a separated D1-brane in the background geometry
described above and reproduce the Liouville potential that binds the D1 brane.
A gauge theory analysis is also presented in the presence of Fayet-Iliopoulos
(FI) parameters which can be identified with the self-dual part of the NS B
field. In the case of a single D5-brane and an arbitrary number of D1 branes we
can demonstrate the existence of a bound state in the Higgs branch. We also
point out the connection of the SCFT on the resolved Sym$_{Q_1Q_5}(\tilde T^4)$
with recent developments in non-commutative Yang-Mills theory.
| [
{
"created": "Mon, 25 Oct 1999 14:43:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Dhar",
"Avinash",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
],
[
"Yogendran",
"K. P.",
""
]
] | The D1/D5 system is considered in the presence of the NS B field. An explicit supergravity solution in the asymptotically flat and near horizon limits is presented. Explicit mass formulae are presented in both cases. This solution has no D3 source branes and represents a true bound state of the D1/D5 system. We study the motion of a separated D1-brane in the background geometry described above and reproduce the Liouville potential that binds the D1 brane. A gauge theory analysis is also presented in the presence of Fayet-Iliopoulos (FI) parameters which can be identified with the self-dual part of the NS B field. In the case of a single D5-brane and an arbitrary number of D1 branes we can demonstrate the existence of a bound state in the Higgs branch. We also point out the connection of the SCFT on the resolved Sym$_{Q_1Q_5}(\tilde T^4)$ with recent developments in non-commutative Yang-Mills theory. |
1905.03057 | Davood Mahdavian Yekta | Davood Mahdavian Yekta, Arezoo Hadikhani, \"Ozg\"ur \"Okc\"u | Joule-Thomson expansion of charged AdS black holes in Rainbow gravity | 13 pages, 12 figures, accepted version | null | 10.1016/j.physletb.2019.06.049 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we investigate the throttling process of the charged Anti-de
Sitter (AdS) black holes in the rainbow gravity. In the extended phase space of
these black holes, the cosmological constant plays the role of a varying
thermodynamic pressure and the black hole mass is identified with the
thermodynamic enthalpy. We derive exact expressions for the Joule-Thomson
coefficient and the inversion temperature in terms of black hole parameters and
constants of rainbow gravity analytically, and then perform a numerical
analysis for the isenthalpic and inversion curves of charged AdS black holes.
We will consider the isenthalpic curves for different values of the black hole
mass.
| [
{
"created": "Mon, 6 May 2019 07:43:21 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jul 2019 05:57:28 GMT",
"version": "v2"
}
] | 2019-07-24 | [
[
"Yekta",
"Davood Mahdavian",
""
],
[
"Hadikhani",
"Arezoo",
""
],
[
"Ökcü",
"Özgür",
""
]
] | In this letter we investigate the throttling process of the charged Anti-de Sitter (AdS) black holes in the rainbow gravity. In the extended phase space of these black holes, the cosmological constant plays the role of a varying thermodynamic pressure and the black hole mass is identified with the thermodynamic enthalpy. We derive exact expressions for the Joule-Thomson coefficient and the inversion temperature in terms of black hole parameters and constants of rainbow gravity analytically, and then perform a numerical analysis for the isenthalpic and inversion curves of charged AdS black holes. We will consider the isenthalpic curves for different values of the black hole mass. |
1012.1326 | Jan Gutowski | M. Dunajski, J. B. Gutowski, W. A. Sabra and Paul Tod | Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry:
Beyond Self-Duality | 15 pages, latex. Minor alterations to section 4 | JHEP 1103:131,2011 | 10.1007/JHEP03(2011)131 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell
theory with a non-vanishing cosmological constant, and for which the Maxwell
field strength is neither self-dual or anti-self-dual. We find that there are
three classes of solutions, depending on the sign of the Maxwell field strength
and cosmological constant terms in the Einstein equations which arise from the
integrability conditions of the Killing spinor equation. The first class is a
Euclidean version of a Lorentzian supersymmetric solution found in
arXiv:0804.0009, hep-th/0406238 . The second class is constructed from a three
dimensional base space which admits a hyper-CR Einstein-Weyl structure. The
third class is the Euclidean Kastor-Traschen solution.
| [
{
"created": "Mon, 6 Dec 2010 21:03:47 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2011 06:09:21 GMT",
"version": "v2"
}
] | 2011-04-04 | [
[
"Dunajski",
"M.",
""
],
[
"Gutowski",
"J. B.",
""
],
[
"Sabra",
"W. A.",
""
],
[
"Tod",
"Paul",
""
]
] | We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three classes of solutions, depending on the sign of the Maxwell field strength and cosmological constant terms in the Einstein equations which arise from the integrability conditions of the Killing spinor equation. The first class is a Euclidean version of a Lorentzian supersymmetric solution found in arXiv:0804.0009, hep-th/0406238 . The second class is constructed from a three dimensional base space which admits a hyper-CR Einstein-Weyl structure. The third class is the Euclidean Kastor-Traschen solution. |
hep-th/0112059 | Mario Trigiante | Jose F. Morales and Mario Trigiante | Walls from fluxes: An analytic RG-flow | 20 pages, LaTeX file, typo corrected and references added | JHEP 0202:018,2002 | 10.1088/1126-6708/2002/02/018 | ITP-UU-01/38 | hep-th | null | We construct supergravity solutions describing the near horizon limit of D1D5
systems with non-trivial boundary conditions. Upon reduction to five dimensions
they define Melvin universes with NS--NS/RR fluxes, that smoothly interpolate
between two different AdS_3 geometries which define fixed points for the
RG--flow of the dual field theory. We discuss the decoupling limits at the two
ends of the flow. We also present a systematic study of the global properties
of our solution. In particular we show how, although the AdS_3 x S^3 global
isometry group is broken down to SU(2)_R x U(1)^3 by global identifications, a
full two-dimensional conformal group of isometries, with the expected central
charge, is restored at infinity.
| [
{
"created": "Sun, 9 Dec 2001 15:32:45 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Dec 2001 11:17:19 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Morales",
"Jose F.",
""
],
[
"Trigiante",
"Mario",
""
]
] | We construct supergravity solutions describing the near horizon limit of D1D5 systems with non-trivial boundary conditions. Upon reduction to five dimensions they define Melvin universes with NS--NS/RR fluxes, that smoothly interpolate between two different AdS_3 geometries which define fixed points for the RG--flow of the dual field theory. We discuss the decoupling limits at the two ends of the flow. We also present a systematic study of the global properties of our solution. In particular we show how, although the AdS_3 x S^3 global isometry group is broken down to SU(2)_R x U(1)^3 by global identifications, a full two-dimensional conformal group of isometries, with the expected central charge, is restored at infinity. |
1012.3758 | Dharmesh Jain | Dharmesh Jain, Warren Siegel | On Projective Hoops: Loops in Hyperspace | 29 pages, 12 figures; Added a reference & modified introduction in v2 | Phys.Rev.D83:105024,2011 | 10.1103/PhysRevD.83.105024 | YITP-SB-12-43 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We (re)derive the propagators and Feynman rules for the massless scalar and
vector multiplets in N=2 Projective Superspace ('Projective Hyperspace'). With
these, we are able to calculate both the divergent and finite parts of 2, 3 &
4-point functions at 1-loop for N=2 Super-Yang-Mills theory (SYM) explicitly in
Projective Hyperspace itself. We find that effectively only the coupling
constant needs to be renormalized unlike in the N=1 case where an independent
wavefunction renormalization is also required. This feature is similar to that
of the background field gauge, even though we are using ordinary Fermi-Feynman
gauge. The computation of 1-hoop beta-function is then straightforward and
matches with the known result. We also show that it receives no 2-hoops
contributions. All these calculations provide an alternative proof of the
finiteness of N=4 SYM.
| [
{
"created": "Thu, 16 Dec 2010 21:15:09 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Dec 2010 15:17:56 GMT",
"version": "v2"
}
] | 2011-06-07 | [
[
"Jain",
"Dharmesh",
""
],
[
"Siegel",
"Warren",
""
]
] | We (re)derive the propagators and Feynman rules for the massless scalar and vector multiplets in N=2 Projective Superspace ('Projective Hyperspace'). With these, we are able to calculate both the divergent and finite parts of 2, 3 & 4-point functions at 1-loop for N=2 Super-Yang-Mills theory (SYM) explicitly in Projective Hyperspace itself. We find that effectively only the coupling constant needs to be renormalized unlike in the N=1 case where an independent wavefunction renormalization is also required. This feature is similar to that of the background field gauge, even though we are using ordinary Fermi-Feynman gauge. The computation of 1-hoop beta-function is then straightforward and matches with the known result. We also show that it receives no 2-hoops contributions. All these calculations provide an alternative proof of the finiteness of N=4 SYM. |
2406.04042 | Yunfei Xie | Song He, Yun-Ze Li, Yunfei Xie | Holographic stress tensor correlators on higher genus Riemann surfaces | 37 pages, 1 figure | null | null | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we present a comprehensive study of holographic stress tensor
correlators on general Riemann surfaces, extending beyond the previously
well-studied torus cases to explore higher genus conformal field theories
(CFTs) within the framework of the Anti-de Sitter/conformal field theory
(AdS/CFT) correspondence. We develop a methodological approach to compute
holographic stress tensor correlators, employing the Schottky uniformization
technique to address the handlebody solutions for higher genus Riemann
surfaces. Through rigorous calculations, we derive four-point stress tensor
correlators, alongside recurrence relations for higher-point correlators,
within the $\mathrm{AdS}_3/\mathrm{CFT}_2$ context. Additionally, our research
delves into the holography of cutoff $\mathrm{AdS}_3$ spaces, offering novel
insights into the lower-point correlators of the $T\bar{T}$-deformed theories
on higher genus Riemann surfaces up to the first deformation order.
| [
{
"created": "Thu, 6 Jun 2024 13:12:28 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Aug 2024 09:41:49 GMT",
"version": "v2"
}
] | 2024-08-13 | [
[
"He",
"Song",
""
],
[
"Li",
"Yun-Ze",
""
],
[
"Xie",
"Yunfei",
""
]
] | In this work, we present a comprehensive study of holographic stress tensor correlators on general Riemann surfaces, extending beyond the previously well-studied torus cases to explore higher genus conformal field theories (CFTs) within the framework of the Anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We develop a methodological approach to compute holographic stress tensor correlators, employing the Schottky uniformization technique to address the handlebody solutions for higher genus Riemann surfaces. Through rigorous calculations, we derive four-point stress tensor correlators, alongside recurrence relations for higher-point correlators, within the $\mathrm{AdS}_3/\mathrm{CFT}_2$ context. Additionally, our research delves into the holography of cutoff $\mathrm{AdS}_3$ spaces, offering novel insights into the lower-point correlators of the $T\bar{T}$-deformed theories on higher genus Riemann surfaces up to the first deformation order. |
hep-th/0508112 | Wenfeng Chen WFC | W.F. Chen | Gravity Dual of Superconformal Anomaly | 49 pages, RevTex 4, no figures, shortened version | Int.J. Mod. Phys.A 27 (2011) 4475 | 10.1142/S0217751X11054553 | NCTS preprint 2005/08 | hep-th | null | The supergravity dual of superconformal anomaly in a four-dimensional
supersymmetric gauge theory is investigated. We consider a well-established
dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$
supersymmetric gauge theory with two flavors of matter fields in the
bifundamental representation of gauge group and the type IIB superstring in the
space-time background furnished by the Klebanov-Strassler (K-S) solution. The
D-brane configuration for these two dual theories consists of N D3 branes and M
fractional $D3$ branes in the singular space-time composed of a direct product
of M^4 and a six-dimensional conifold ${\cal C}_6$ with the base $T^{1,1}$. The
superconformal anomaly originate from fractional branes frozen at the apex of
${\cal C}_6$. While on the gravity side, the fractional branes deform the
$AdS_5\times T^{1,1}$ space-time background and partially break local
supersymmetry of type IIB supergravity. We find that the deformation on
$AdS_5\times T^{1,1}$ leads to the spontaneous breaking local symmetries in
gauged AdS_5 supergravity and consequently a super-Higgs mechanism arises. We
thus conclude that the super-Higgs mechanism in gauged supergravity is dual to
the superconformal anomaly of supersymmetric gauge theory in terms of
gauge/gravity correspondence.
| [
{
"created": "Tue, 16 Aug 2005 08:09:48 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Aug 2005 22:59:04 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Sep 2005 07:27:52 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Aug 2006 20:06:54 GMT",
"version": "v4"
},
{
"c... | 2012-10-02 | [
[
"Chen",
"W. F.",
""
]
] | The supergravity dual of superconformal anomaly in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between the ${\cal N}=1$ $SU(N+M)\times SU(N)$ supersymmetric gauge theory with two flavors of matter fields in the bifundamental representation of gauge group and the type IIB superstring in the space-time background furnished by the Klebanov-Strassler (K-S) solution. The D-brane configuration for these two dual theories consists of N D3 branes and M fractional $D3$ branes in the singular space-time composed of a direct product of M^4 and a six-dimensional conifold ${\cal C}_6$ with the base $T^{1,1}$. The superconformal anomaly originate from fractional branes frozen at the apex of ${\cal C}_6$. While on the gravity side, the fractional branes deform the $AdS_5\times T^{1,1}$ space-time background and partially break local supersymmetry of type IIB supergravity. We find that the deformation on $AdS_5\times T^{1,1}$ leads to the spontaneous breaking local symmetries in gauged AdS_5 supergravity and consequently a super-Higgs mechanism arises. We thus conclude that the super-Higgs mechanism in gauged supergravity is dual to the superconformal anomaly of supersymmetric gauge theory in terms of gauge/gravity correspondence. |
1707.08541 | Yu-Xiao Liu | Yu-Xiao Liu | Introduction to Extra Dimensions and Thick Braneworlds | v2: 53pages, 8 figures, this paper will be collected with other ones
as a book to publish in the World Scientific Press in Singapore | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this review, we give a brief introduction on the aspects of some extra
dimension models and the five-dimensional thick brane models in extended
theories of gravity. First, we briefly introduce the Kaluza-Klein theory, the
domain wall model, the large extra dimension model, and the warped extra
dimension models. Then some thick brane solutions in extended theories of
gravity are reviewed. Finally, localization of bulk matter fields on thick
branes is discussed.
| [
{
"created": "Wed, 26 Jul 2017 17:03:59 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Aug 2017 11:25:49 GMT",
"version": "v2"
}
] | 2017-08-08 | [
[
"Liu",
"Yu-Xiao",
""
]
] | In this review, we give a brief introduction on the aspects of some extra dimension models and the five-dimensional thick brane models in extended theories of gravity. First, we briefly introduce the Kaluza-Klein theory, the domain wall model, the large extra dimension model, and the warped extra dimension models. Then some thick brane solutions in extended theories of gravity are reviewed. Finally, localization of bulk matter fields on thick branes is discussed. |
hep-th/0207136 | David Mateos | David Mateos, Selena Ng and Paul K. Townsend | Supersymmetric Defect Expansion in CFT from AdS Supertubes | 17 pages, 3 figures; V2: References added, minor corrections | JHEP 0207 (2002) 048 | 10.1088/1126-6708/2002/07/048 | DAMTP-2002-88 | hep-th | null | The AdS/dCFT correspondence is used to show that a planar q-dimensional
superconformal CFT defect expands, under the addition of electric charge and
angular momentum, to a supersymmetric higher-dimensional defect of geometry R^q
x C, where C is an arbitrary curve. The dual string theory process is the
expansion of D-branes and fundamental strings into a supertube in an AdS
background.
| [
{
"created": "Sun, 14 Jul 2002 13:33:13 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jul 2002 18:41:36 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Mateos",
"David",
""
],
[
"Ng",
"Selena",
""
],
[
"Townsend",
"Paul K.",
""
]
] | The AdS/dCFT correspondence is used to show that a planar q-dimensional superconformal CFT defect expands, under the addition of electric charge and angular momentum, to a supersymmetric higher-dimensional defect of geometry R^q x C, where C is an arbitrary curve. The dual string theory process is the expansion of D-branes and fundamental strings into a supertube in an AdS background. |
hep-th/0605175 | Tameem Albash | Tameem Albash, Veselin Filev, Clifford V. Johnson, Arnab Kundu | Global Currents, Phase Transitions, and Chiral Symmetry Breaking in
Large N_c Gauge Theory | (corrected version that appeared in JHEP) | JHEP 0812:033,2008 | 10.1088/1126-6708/2008/12/033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$
gauge theory for large $N_c$, with fundamental quark flavours in a quenched
approximation, in the presence of a fixed R--charge under a global R--current.
We observe several notable phenomena. There is a first order phase transition
where the quark condensate jumps discontinuously at finite quark mass,
generalizing similar transitions seen at zero charge. Our tool in these studies
is holography, the string dual of the gauge theory being the geometry of $N_c$
spinning D3--branes at finite temperature, probed by a D7--brane.
| [
{
"created": "Wed, 17 May 2006 19:59:26 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Aug 2007 22:15:30 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Jun 2011 21:46:17 GMT",
"version": "v3"
}
] | 2011-06-09 | [
[
"Albash",
"Tameem",
""
],
[
"Filev",
"Veselin",
""
],
[
"Johnson",
"Clifford V.",
""
],
[
"Kundu",
"Arnab",
""
]
] | We study, using a gravity dual, the finite temperature dynamics of $SU(N_c)$ gauge theory for large $N_c$, with fundamental quark flavours in a quenched approximation, in the presence of a fixed R--charge under a global R--current. We observe several notable phenomena. There is a first order phase transition where the quark condensate jumps discontinuously at finite quark mass, generalizing similar transitions seen at zero charge. Our tool in these studies is holography, the string dual of the gauge theory being the geometry of $N_c$ spinning D3--branes at finite temperature, probed by a D7--brane. |
2111.10305 | Sebastian Grieninger | Martin Ammon, Daniel Arean, Matteo Baggioli, Se\'an Gray, Sebastian
Grieninger | Pseudo-spontaneous $U(1)$ Symmetry Breaking in Hydrodynamics and
Holography | v2: added references and appendix C Numerical Methods; matches
version published in JHEP; 23 + 4 pages; 11 figures | JHEP 03 (2022) 015 | 10.1007/JHEP03(2022)015 | IFT-UAM/CSIC-21-130 | hep-th cond-mat.mes-hall cond-mat.str-el nucl-th | http://creativecommons.org/licenses/by/4.0/ | We investigate the low-energy dynamics of systems with pseudo-spontaneously
broken $U(1)$ symmetry and Goldstone phase relaxation. We construct a
hydrodynamic framework which is able to capture these, in principle
independent, effects. We consider two generalisations of the standard
holographic superfluid model by adding an explicit breaking of the $U(1)$
symmetry by either sourcing the charged bulk scalar or by introducing an
explicit mass term for the bulk gauge field. We find agreement between the
hydrodynamic dispersion relations and the quasi-normal modes of both
holographic models. We verify that phase relaxation arises only due to the
breaking of the inherent Goldstone shift symmetry. The interplay of a weak
explicit breaking of the $U(1)$ and phase relaxation renders the DC electric
conductivity finite but does not result in a Drude-like peak. In this scenario
we show the validity of a universal relation, found in the context of
translational symmetry breaking, between the phase relaxation rate, the mass of
the pseudo-Goldstone and the Goldstone diffusivity.
| [
{
"created": "Fri, 19 Nov 2021 16:36:06 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Mar 2022 03:47:31 GMT",
"version": "v2"
}
] | 2022-03-07 | [
[
"Ammon",
"Martin",
""
],
[
"Arean",
"Daniel",
""
],
[
"Baggioli",
"Matteo",
""
],
[
"Gray",
"Seán",
""
],
[
"Grieninger",
"Sebastian",
""
]
] | We investigate the low-energy dynamics of systems with pseudo-spontaneously broken $U(1)$ symmetry and Goldstone phase relaxation. We construct a hydrodynamic framework which is able to capture these, in principle independent, effects. We consider two generalisations of the standard holographic superfluid model by adding an explicit breaking of the $U(1)$ symmetry by either sourcing the charged bulk scalar or by introducing an explicit mass term for the bulk gauge field. We find agreement between the hydrodynamic dispersion relations and the quasi-normal modes of both holographic models. We verify that phase relaxation arises only due to the breaking of the inherent Goldstone shift symmetry. The interplay of a weak explicit breaking of the $U(1)$ and phase relaxation renders the DC electric conductivity finite but does not result in a Drude-like peak. In this scenario we show the validity of a universal relation, found in the context of translational symmetry breaking, between the phase relaxation rate, the mass of the pseudo-Goldstone and the Goldstone diffusivity. |
1812.06895 | Alexander Ochirov Dr. | Alfredo Guevara, Alexander Ochirov, Justin Vines | Scattering of Spinning Black Holes from Exponentiated Soft Factors | 29 pages + appendices + refs, 3 figures; v3 minor corrections,
journal version | JHEP 1909 (2019) 056 | 10.1007/JHEP09(2019)056 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide evidence that the classical scattering of two spinning black holes
is controlled by the soft expansion of exchanged gravitons. We show how an
exponentiation of Cachazo-Strominger soft factors, acting on massive
higher-spin amplitudes, can be used to find spin contributions to the
aligned-spin scattering angle, conjecturally extending previously known results
to higher orders in spin at one-loop order. The extraction of the classical
limit is accomplished via the on-shell leading-singularity method and using
massive spinor-helicity variables. The three-point amplitude for arbitrary-spin
massive particles minimally coupled to gravity is expressed in an exponential
form, and in the infinite-spin limit it matches the effective stress-energy
tensor of the linearized Kerr solution. A four-point gravitational Compton
amplitude is obtained from an extrapolated soft theorem, equivalent to gluing
two exponential three-point amplitudes, and becomes itself an exponential
operator. The construction uses these amplitudes to: 1) recover the known
tree-level scattering angle at all orders in spin, 2) recover the known
one-loop linear-in-spin interaction, 3) match a previous conjectural expression
for the one-loop scattering angle at quadratic order in spin, 4) propose new
one-loop results through quartic order in spin. These connections link the
computation of higher-multipole interactions to the study of deeper orders in
the soft expansion.
| [
{
"created": "Mon, 17 Dec 2018 17:00:44 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2019 17:19:03 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Sep 2019 18:00:03 GMT",
"version": "v3"
}
] | 2019-09-11 | [
[
"Guevara",
"Alfredo",
""
],
[
"Ochirov",
"Alexander",
""
],
[
"Vines",
"Justin",
""
]
] | We provide evidence that the classical scattering of two spinning black holes is controlled by the soft expansion of exchanged gravitons. We show how an exponentiation of Cachazo-Strominger soft factors, acting on massive higher-spin amplitudes, can be used to find spin contributions to the aligned-spin scattering angle, conjecturally extending previously known results to higher orders in spin at one-loop order. The extraction of the classical limit is accomplished via the on-shell leading-singularity method and using massive spinor-helicity variables. The three-point amplitude for arbitrary-spin massive particles minimally coupled to gravity is expressed in an exponential form, and in the infinite-spin limit it matches the effective stress-energy tensor of the linearized Kerr solution. A four-point gravitational Compton amplitude is obtained from an extrapolated soft theorem, equivalent to gluing two exponential three-point amplitudes, and becomes itself an exponential operator. The construction uses these amplitudes to: 1) recover the known tree-level scattering angle at all orders in spin, 2) recover the known one-loop linear-in-spin interaction, 3) match a previous conjectural expression for the one-loop scattering angle at quadratic order in spin, 4) propose new one-loop results through quartic order in spin. These connections link the computation of higher-multipole interactions to the study of deeper orders in the soft expansion. |
hep-th/0408240 | Luca Mazzucato | Luca Mazzucato | Chiral Rings, Anomalies and Electric-Magnetic Duality | 54 pages, harvmac. v2: typos corrected | JHEP 0411:020,2004 | 10.1088/1126-6708/2004/11/020 | SISSA/62/2004/EP | hep-th | null | We study electric-magnetic duality in the chiral ring of a supersymmetric
U(N_c) gauge theory with adjoint and fundamental matter, in presence of a
general confining phase superpotential for the adjoint and the mesons. We find
the magnetic solution corresponding to both the pseudoconfining and higgs
electric vacua. By means of the Dijkgraaf-Vafa method, we match the effective
glueball superpotentials and show that in some cases duality works exactly
offshell. We give also a picture of the analytic structure of the resolvents in
the magnetic theory, as we smoothly interpolate between different higgs vacua
on the electric side.
| [
{
"created": "Tue, 31 Aug 2004 17:19:58 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Nov 2004 16:59:23 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Mazzucato",
"Luca",
""
]
] | We study electric-magnetic duality in the chiral ring of a supersymmetric U(N_c) gauge theory with adjoint and fundamental matter, in presence of a general confining phase superpotential for the adjoint and the mesons. We find the magnetic solution corresponding to both the pseudoconfining and higgs electric vacua. By means of the Dijkgraaf-Vafa method, we match the effective glueball superpotentials and show that in some cases duality works exactly offshell. We give also a picture of the analytic structure of the resolvents in the magnetic theory, as we smoothly interpolate between different higgs vacua on the electric side. |
2111.13215 | James Bonifacio | James Bonifacio | Bootstrapping Closed Hyperbolic Surfaces | 20 pages | null | 10.1007/JHEP03(2022)093 | null | hep-th math.DG math.SP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The eigenvalues of the Laplace-Beltrami operator and the integrals of
products of eigenfunctions and holomorphic $s$-differentials satisfy certain
consistency conditions on closed hyperbolic surfaces. These consistency
conditions can be derived by using spectral decompositions to write quadruple
overlap integrals in terms of triple overlap integrals in different ways. We
show how to efficiently construct these consistency conditions and use them to
derive upper bounds on eigenvalues, following the approach of the conformal
bootstrap. As an example of such a bootstrap bound, we find a numerical upper
bound on the spectral gap of closed orientable hyperbolic surfaces that is
nearly saturated by the Bolza surface.
| [
{
"created": "Thu, 25 Nov 2021 18:44:22 GMT",
"version": "v1"
}
] | 2022-03-30 | [
[
"Bonifacio",
"James",
""
]
] | The eigenvalues of the Laplace-Beltrami operator and the integrals of products of eigenfunctions and holomorphic $s$-differentials satisfy certain consistency conditions on closed hyperbolic surfaces. These consistency conditions can be derived by using spectral decompositions to write quadruple overlap integrals in terms of triple overlap integrals in different ways. We show how to efficiently construct these consistency conditions and use them to derive upper bounds on eigenvalues, following the approach of the conformal bootstrap. As an example of such a bootstrap bound, we find a numerical upper bound on the spectral gap of closed orientable hyperbolic surfaces that is nearly saturated by the Bolza surface. |
1807.11763 | Jen-Chi Lee | Sheng-Hong Lai, Jen-Chi Lee and I-Hsun Tsai | Extended Complex Yang-Mills Instanton Sheaves | 37 pages, no figure V2: 44 pages, examples added, Eqs.(4.142)-(4.174)
("Extended complex YM 2-instanton field strength") and Eqs.(4.205)-(4.226)
are new | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the search of YM instanton sheaves with topological charge two, the rank
of beta matrix in the monad construction can be dropped from the bundle case
with rank(beta)= 2 to either rank(beta) = 1 [4] or 0 on some points of CP^3 of
the sheaf cases. In this paper, we first show that the sheaf case with
rank(beta)= 0 does not exist for the previous construction of SU(2) complex YM
instantons [3]. We then show that in the new "extended complex YM instantons"
discovered in this paper, rank(beta) can be either 2 on the whole CP^3 (bundle)
with some given ADHM data or 1, 0 on some points of CP^3 with other ADHM data
(sheaves). These extended SU(2) complex YM instantons have no real instanton
counterparts.
| [
{
"created": "Tue, 31 Jul 2018 11:21:26 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Sep 2018 17:54:07 GMT",
"version": "v2"
}
] | 2018-09-26 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Tsai",
"I-Hsun",
""
]
] | In the search of YM instanton sheaves with topological charge two, the rank of beta matrix in the monad construction can be dropped from the bundle case with rank(beta)= 2 to either rank(beta) = 1 [4] or 0 on some points of CP^3 of the sheaf cases. In this paper, we first show that the sheaf case with rank(beta)= 0 does not exist for the previous construction of SU(2) complex YM instantons [3]. We then show that in the new "extended complex YM instantons" discovered in this paper, rank(beta) can be either 2 on the whole CP^3 (bundle) with some given ADHM data or 1, 0 on some points of CP^3 with other ADHM data (sheaves). These extended SU(2) complex YM instantons have no real instanton counterparts. |
1112.2056 | Yuri Markov Adolfovich | Yuri A. Markov, Margarita A. Markova, Alexey A. Shishmarev, and
Alexander N. Vall | Equations of motion for a classical color particle in background
non-Abelian fermionic and bosonic fields: Inclusion of pseudoclassical spin | 41 pages | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A generalization of the Lagrangian introduced earlier in [2011 {\it J. Phys.
G} ${\bf 37}$ 105001] for a classical color spinning particle interacting with
background non-Abelian gauge and fermion fields for purpose of considering a
change in time of the spin particle degree of freedom, is suggested. In the
case under consideration the spin degree of freedom is described by a commuting
$c$-number Dirac spinor $\psi_{\alpha}$. A mapping of this spinor into new
variables: anticommuting pseudovector $\xi_{\mu}$ and pseudoscalar $\xi_5$
commonly used in a description of the spin degree of freedom of a massive
spin-1/2 particle, is constructed. An analysis of one-to-one correspondence of
this mapping is given. It is shown that for the one-to-one correspondence it is
necessary to extend a class of real tensor quantities including besides
$\xi_{\mu}$ and $\xi_5$, also odd vector $\hat{\xi}_{\mu}$, scalar
$\hat{\xi}_5$, and (dual) pseudotensor $^{\ast}\zeta_{\mu \nu}$. In addition,
it is shown that it is necessary either to restrict a class of the initial
spinor $\psi_{\alpha}$ to Majorana one or to double the number of variables in
the tensor aggregate $(\xi_{\mu},\,\xi_5,, ^{\ast}\zeta_{\mu
\nu},\,\hat{\xi}_{\mu},\,\hat{\xi}_5)$. Various special cases of the desired
mapping are considered. In particular, a connection with the Lagrangian
suggested by A.M. Polyakov, is studied. It is also offered the way of obtaining
the supersymmetric Lagrangian in terms of the even $\psi_{\alpha}$ and odd
$\theta_{\alpha}$ spinors. The map of the Lagrandian leads to local SUSY
Lagrangian in terms of $\xi_{\mu}$ and $\xi_5$.
| [
{
"created": "Fri, 9 Dec 2011 09:54:29 GMT",
"version": "v1"
}
] | 2011-12-12 | [
[
"Markov",
"Yuri A.",
""
],
[
"Markova",
"Margarita A.",
""
],
[
"Shishmarev",
"Alexey A.",
""
],
[
"Vall",
"Alexander N.",
""
]
] | A generalization of the Lagrangian introduced earlier in [2011 {\it J. Phys. G} ${\bf 37}$ 105001] for a classical color spinning particle interacting with background non-Abelian gauge and fermion fields for purpose of considering a change in time of the spin particle degree of freedom, is suggested. In the case under consideration the spin degree of freedom is described by a commuting $c$-number Dirac spinor $\psi_{\alpha}$. A mapping of this spinor into new variables: anticommuting pseudovector $\xi_{\mu}$ and pseudoscalar $\xi_5$ commonly used in a description of the spin degree of freedom of a massive spin-1/2 particle, is constructed. An analysis of one-to-one correspondence of this mapping is given. It is shown that for the one-to-one correspondence it is necessary to extend a class of real tensor quantities including besides $\xi_{\mu}$ and $\xi_5$, also odd vector $\hat{\xi}_{\mu}$, scalar $\hat{\xi}_5$, and (dual) pseudotensor $^{\ast}\zeta_{\mu \nu}$. In addition, it is shown that it is necessary either to restrict a class of the initial spinor $\psi_{\alpha}$ to Majorana one or to double the number of variables in the tensor aggregate $(\xi_{\mu},\,\xi_5,, ^{\ast}\zeta_{\mu \nu},\,\hat{\xi}_{\mu},\,\hat{\xi}_5)$. Various special cases of the desired mapping are considered. In particular, a connection with the Lagrangian suggested by A.M. Polyakov, is studied. It is also offered the way of obtaining the supersymmetric Lagrangian in terms of the even $\psi_{\alpha}$ and odd $\theta_{\alpha}$ spinors. The map of the Lagrandian leads to local SUSY Lagrangian in terms of $\xi_{\mu}$ and $\xi_5$. |
0707.3267 | Toshiaki Fujimori | Minoru Eto, Toshiaki Fujimori, Takayuki Nagashima, Muneto Nitta,
Keisuke Ohashi, Norisuke Sakai | Dynamics of Domain Wall Networks | 39 pages, 16 figures | Phys.Rev.D76:125025,2007 | 10.1103/PhysRevD.76.125025 | IFUP-TH/17, TIT/HEP-573 | hep-th astro-ph cond-mat.mtrl-sci | null | Networks or webs of domain walls are admitted in Abelian or non-Abelian gauge
theory coupled to fundamental Higgs fields with complex masses. We examine the
dynamics of the domain wall loops by using the moduli approximation and find a
phase rotation induces a repulsive force which can be understood as a Noether
charge of Q-solitons. Non-Abelian gauge theory allows different types of loops
which can be deformed to each other by changing a modulus. This admits the
moduli geometry like a sandglass made by gluing the tips of the two
cigar-(cone-)like metrics of a single triangle loop. We conclude that the sizes
of all loops tend to grow for a late time in general models with complex Higgs
masses, while the sizes are stabilized at some values once triplet masses are
introduced for the Higgs fields. We also show that the stationary motion on the
moduli space of the domain wall webs represents 1/4 BPS Q-webs of walls.
| [
{
"created": "Sun, 22 Jul 2007 14:35:23 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Nagashima",
"Takayuki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
],
[
"Sakai",
"Norisuke",
""
]
] | Networks or webs of domain walls are admitted in Abelian or non-Abelian gauge theory coupled to fundamental Higgs fields with complex masses. We examine the dynamics of the domain wall loops by using the moduli approximation and find a phase rotation induces a repulsive force which can be understood as a Noether charge of Q-solitons. Non-Abelian gauge theory allows different types of loops which can be deformed to each other by changing a modulus. This admits the moduli geometry like a sandglass made by gluing the tips of the two cigar-(cone-)like metrics of a single triangle loop. We conclude that the sizes of all loops tend to grow for a late time in general models with complex Higgs masses, while the sizes are stabilized at some values once triplet masses are introduced for the Higgs fields. We also show that the stationary motion on the moduli space of the domain wall webs represents 1/4 BPS Q-webs of walls. |
1907.11242 | Shota Komatsu | Yunfeng Jiang, Shota Komatsu, Edoardo Vescovi | Exact Three-Point Functions of Determinant Operators in Planar N=4
Supersymmetric Yang-Mills Theory | 6 pages. A letter version of arXiv:1906.07733 with new results; v2
typos corrected, references added | Phys. Rev. Lett. 123, 191601 (2019) | 10.1103/PhysRevLett.123.191601 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a nonperturbative approach to correlation functions of two
determinant operators and one non-protected single-trace operator in planar N=4
supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose
that they correspond to overlaps on the string worldsheet between an integrable
boundary state and a state dual to the single-trace operator. We determine the
boundary state using symmetry and integrability of the dual superstring sigma
model, and write down expressions for the correlators at finite coupling, which
we conjecture to be valid for operators of arbitrary size. The proposal is put
to test at weak coupling.
| [
{
"created": "Thu, 25 Jul 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2019 13:58:55 GMT",
"version": "v2"
}
] | 2019-11-13 | [
[
"Jiang",
"Yunfeng",
""
],
[
"Komatsu",
"Shota",
""
],
[
"Vescovi",
"Edoardo",
""
]
] | We introduce a nonperturbative approach to correlation functions of two determinant operators and one non-protected single-trace operator in planar N=4 supersymmetric Yang-Mills theory. Based on the gauge/string duality, we propose that they correspond to overlaps on the string worldsheet between an integrable boundary state and a state dual to the single-trace operator. We determine the boundary state using symmetry and integrability of the dual superstring sigma model, and write down expressions for the correlators at finite coupling, which we conjecture to be valid for operators of arbitrary size. The proposal is put to test at weak coupling. |
1708.04644 | Shailesh Lal | Jin-Beom Bae, Euihun Joung, Shailesh Lal | Exploring Free Matrix CFT Holographies at One-Loop | 37 pages, 7 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend our recent study on the duality between stringy higher spin
theories and free CFTs in the $SU(N)$ adjoint representation to other matrix
models namely the free $SO(N)$ and $Sp(N)$ adjoint models as well as the free
$U(N)\times U(M)$ bi-fundamental and $O(N)\times O(M)$ bi-vector models. After
determining the spectrum of the theories in the planar limit by Polya counting,
we compute the one loop vacuum energy and Casimir energy for their respective
bulk duals by means of the CIRZ method that we have introduced recently. We
also elaborate on possible ambiguities in the application of this method.
| [
{
"created": "Tue, 15 Aug 2017 18:51:57 GMT",
"version": "v1"
}
] | 2017-08-17 | [
[
"Bae",
"Jin-Beom",
""
],
[
"Joung",
"Euihun",
""
],
[
"Lal",
"Shailesh",
""
]
] | We extend our recent study on the duality between stringy higher spin theories and free CFTs in the $SU(N)$ adjoint representation to other matrix models namely the free $SO(N)$ and $Sp(N)$ adjoint models as well as the free $U(N)\times U(M)$ bi-fundamental and $O(N)\times O(M)$ bi-vector models. After determining the spectrum of the theories in the planar limit by Polya counting, we compute the one loop vacuum energy and Casimir energy for their respective bulk duals by means of the CIRZ method that we have introduced recently. We also elaborate on possible ambiguities in the application of this method. |
1709.09446 | Maksym Deliyergiyev | A. S. Bakry, M. A. Deliyergiyev, A. Galal, M. N. Khalil | Perturbative width of open rigid strings | 36 Pages, 6 Figures, 4 Appendices | Phys. Rev. D 105, 094504, 19 May 2022 | 10.1103/PhysRevD.105.094504 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present perturbative calculation of the width of the energy profile of
rigid strings up to two loops in D dimensions. The perturbative expansion of
the extrinsic curvature term signifying the rigidity/smoothness of the string
in Polyakov-Kleinert action is taken around the free Nambu-Goto string. The
mean-square width of the string field is derived for open strings with
Dirichlet boundary condition. We compare the broadening of the smooth
Polyakov-Kleinert string to the lattice Mont-Carlo data of the QCD flux tube
just before the deconfinement point and find a good match at the intermediate
and large color source separation.
| [
{
"created": "Wed, 27 Sep 2017 10:59:41 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Dec 2019 04:54:34 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Oct 2021 10:25:31 GMT",
"version": "v3"
},
{
"created": "Wed, 27 Oct 2021 07:58:10 GMT",
"version": "v4"
},
{
"c... | 2022-05-24 | [
[
"Bakry",
"A. S.",
""
],
[
"Deliyergiyev",
"M. A.",
""
],
[
"Galal",
"A.",
""
],
[
"Khalil",
"M. N.",
""
]
] | We present perturbative calculation of the width of the energy profile of rigid strings up to two loops in D dimensions. The perturbative expansion of the extrinsic curvature term signifying the rigidity/smoothness of the string in Polyakov-Kleinert action is taken around the free Nambu-Goto string. The mean-square width of the string field is derived for open strings with Dirichlet boundary condition. We compare the broadening of the smooth Polyakov-Kleinert string to the lattice Mont-Carlo data of the QCD flux tube just before the deconfinement point and find a good match at the intermediate and large color source separation. |
hep-th/0304258 | Tianjun Li | Tianjun Li, Tao Liu | Quasi-Supersymmetric $G^3$ Unification from Intersecting D6-Branes on
Type IIA Orientifolds | Latex, 14 pages, typos fixed, version to appear in PLB | Phys.Lett. B573 (2003) 193-201 | 10.1016/j.physletb.2003.08.054 | null | hep-th hep-ph | null | We construct three quasi-supersymmetric $G^3$ GUT models with $S_3$ symmetry
and gauge coupling unification from intersecting D6-branes on Type IIA
orientifolds. The Standard Model fermions and Higgs doublets can be embedded
into the bifundamental representations in these models, and there is no any
other unnecessary massless representation. Especially in Model I with gauge
group $U(4)^3$, we just have three-family SM fermions and three pairs of Higgs
particles. The $G^3$ gauge symmetry in these models can be broken down to the
Standard Model gauge symmetry by introducing light open string states. And 1
TeV scale supersymmetry breaking soft masses imply the reasonable intermediate
string scale.
| [
{
"created": "Wed, 30 Apr 2003 03:49:29 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2003 23:54:33 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Li",
"Tianjun",
""
],
[
"Liu",
"Tao",
""
]
] | We construct three quasi-supersymmetric $G^3$ GUT models with $S_3$ symmetry and gauge coupling unification from intersecting D6-branes on Type IIA orientifolds. The Standard Model fermions and Higgs doublets can be embedded into the bifundamental representations in these models, and there is no any other unnecessary massless representation. Especially in Model I with gauge group $U(4)^3$, we just have three-family SM fermions and three pairs of Higgs particles. The $G^3$ gauge symmetry in these models can be broken down to the Standard Model gauge symmetry by introducing light open string states. And 1 TeV scale supersymmetry breaking soft masses imply the reasonable intermediate string scale. |
2002.12148 | Usman Naseer | Usman Naseer | Entanglement Entropy in Closed String Theory | 19 pages+ 2 appendices. Comments are welcome | null | null | UUITP-04/20 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In local quantum field theory, the entanglement entropy of a region is
divergent due to the arbitrary short-wavelength correlations near the boundary
of the region. Quantum gravitational fluctuations are expected to cut off the
entropy of the ultraviolet modes. Guided by this, we study the entanglement
entropy in closed string theory. We factorize the configuration space of closed
strings based on the position of the center of mass. We then compute the
one-loop R\'enyi partition functions corresponding to this factorization using
the replica method and string field theory. The short-wavelength modes are cut
off at the string scale and the one-loop entanglement entropy is
ultraviolet-finite. A non-trivial path integration measure, required to produce
the correct one-loop vacuum amplitude, plays a key role.
| [
{
"created": "Thu, 27 Feb 2020 14:55:30 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Oct 2020 09:47:04 GMT",
"version": "v2"
}
] | 2020-10-13 | [
[
"Naseer",
"Usman",
""
]
] | In local quantum field theory, the entanglement entropy of a region is divergent due to the arbitrary short-wavelength correlations near the boundary of the region. Quantum gravitational fluctuations are expected to cut off the entropy of the ultraviolet modes. Guided by this, we study the entanglement entropy in closed string theory. We factorize the configuration space of closed strings based on the position of the center of mass. We then compute the one-loop R\'enyi partition functions corresponding to this factorization using the replica method and string field theory. The short-wavelength modes are cut off at the string scale and the one-loop entanglement entropy is ultraviolet-finite. A non-trivial path integration measure, required to produce the correct one-loop vacuum amplitude, plays a key role. |
hep-th/0206033 | Leopoldo A. Pando Zayas | Eric G. Gimon, Leopoldo A. Pando Zayas and Jacob Sonnenschein | Penrose Limits and RG Flows | 35 pp, 6 figures | JHEP0209:044,2002 | 10.1088/1126-6708/2002/09/044 | null | hep-th | null | The Penrose-Gueven limit simplifies a given supergravity solution into a
pp-wave background. Aiming at clarifying its relation to renormalization group
flow we study the Penrose-Guven limit of supergravity backgrounds that are dual
to non-conformal gauge theories. The resulting backgrounds fall in a class
simple enough that the quantum particle is exactly solvable. We propose a map
between the effective time-dependent quantum mechanical problem and the RG flow
in the gauge theory. As a testing ground we consider explicitly two Penrose
limits of the infrared fixed point of the Pilch-Warner solution. We analyze the
corresponding gauge theory picture and write down the operators which are the
duals of the low lying string states. We also address RG flows of a different
nature by considering the Penrose-Gueven limit of a stack of N D_p branes. We
note that in the far IR (for p<3)the limit generically has negative
mass-squared. This phenomenon signals, in the world sheet picture, the
necessity to transform to another description. In this regard, we consider
explicitly the cases of M2 from D2 and F1 from D1 .
| [
{
"created": "Tue, 4 Jun 2002 19:02:09 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gimon",
"Eric G.",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Sonnenschein",
"Jacob",
""
]
] | The Penrose-Gueven limit simplifies a given supergravity solution into a pp-wave background. Aiming at clarifying its relation to renormalization group flow we study the Penrose-Guven limit of supergravity backgrounds that are dual to non-conformal gauge theories. The resulting backgrounds fall in a class simple enough that the quantum particle is exactly solvable. We propose a map between the effective time-dependent quantum mechanical problem and the RG flow in the gauge theory. As a testing ground we consider explicitly two Penrose limits of the infrared fixed point of the Pilch-Warner solution. We analyze the corresponding gauge theory picture and write down the operators which are the duals of the low lying string states. We also address RG flows of a different nature by considering the Penrose-Gueven limit of a stack of N D_p branes. We note that in the far IR (for p<3)the limit generically has negative mass-squared. This phenomenon signals, in the world sheet picture, the necessity to transform to another description. In this regard, we consider explicitly the cases of M2 from D2 and F1 from D1 . |
1707.05775 | Alexander Ochirov Dr. | Alexander Ochirov, Piotr Tourkine and Pierre Vanhove | One-loop monodromy relations on single cuts | 24 pages + appendices + refs; v3 minor corrections, journal version | JHEP 1710 (2017) 105 | 10.1007/JHEP10(2017)105 | DAMTP-2017-31, Edinburgh 2017/16, IPhT-t17/065 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The discovery of colour-kinematic duality has led to significant progress in
the computation of scattering amplitudes in quantum field theories. At tree
level, the origin of the duality can be traced back to the monodromies of
open-string amplitudes. This construction has recently been extended to all
loop orders. In the present paper, we dissect some consequences of these new
monodromy relations at one loop. We use single cuts in order to relate them to
the tree-level relations. We show that there are new classes of kinematically
independent single-cut amplitudes. Then we turn to the Feynman diagrammatics of
the string-theory monodromy relations. We revisit the string-theoretic
derivation and argue that some terms, that vanish upon integration in string
and field theory, provide a characterisation of momentum-shifting ambiguities
in these representations. We observe that colour-dual representations are
compatible with this analysis.
| [
{
"created": "Tue, 18 Jul 2017 17:56:18 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jul 2017 13:32:26 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Oct 2017 10:18:35 GMT",
"version": "v3"
}
] | 2017-10-17 | [
[
"Ochirov",
"Alexander",
""
],
[
"Tourkine",
"Piotr",
""
],
[
"Vanhove",
"Pierre",
""
]
] | The discovery of colour-kinematic duality has led to significant progress in the computation of scattering amplitudes in quantum field theories. At tree level, the origin of the duality can be traced back to the monodromies of open-string amplitudes. This construction has recently been extended to all loop orders. In the present paper, we dissect some consequences of these new monodromy relations at one loop. We use single cuts in order to relate them to the tree-level relations. We show that there are new classes of kinematically independent single-cut amplitudes. Then we turn to the Feynman diagrammatics of the string-theory monodromy relations. We revisit the string-theoretic derivation and argue that some terms, that vanish upon integration in string and field theory, provide a characterisation of momentum-shifting ambiguities in these representations. We observe that colour-dual representations are compatible with this analysis. |
1508.05706 | Hisayoshi Muraki | Tsuguhiko Asakawa, Hisayoshi Muraki and Satoshi Watamura | Gravity theory on Poisson manifold with $R$-flux | 37 pages, Some comments and references added | Fortsch.Phys. 63 (2015) 683-704 | 10.1002/prop.201500049 | TU-992, UTHEP-677 | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel gravity theory based on Poisson Generalized Geometry is investigated.
A gravity theory on a Poisson manifold equipped with a Riemannian metric is
constructed from a contravariant version of the Levi-Civita connection, which
is based on the Lie algebroid of a Poisson manifold. Then, we show that in
Poisson Generalized Geometry the $R$-fluxes are consistently coupled with such
a gravity. An $R$-flux appears as a torsion of the corresponding connection in
a similar way as an $H$-flux which appears as a torsion of the connection for-
mulated in the standard Generalized Geometry. We give an analogue of the
Einstein-Hilbert action coupled with an $R$-flux, and show that it is invariant
under both $\beta$-diffeomorphisms and $\beta$-gauge transformations.
| [
{
"created": "Mon, 24 Aug 2015 07:12:00 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2015 07:54:53 GMT",
"version": "v2"
}
] | 2015-11-25 | [
[
"Asakawa",
"Tsuguhiko",
""
],
[
"Muraki",
"Hisayoshi",
""
],
[
"Watamura",
"Satoshi",
""
]
] | A novel gravity theory based on Poisson Generalized Geometry is investigated. A gravity theory on a Poisson manifold equipped with a Riemannian metric is constructed from a contravariant version of the Levi-Civita connection, which is based on the Lie algebroid of a Poisson manifold. Then, we show that in Poisson Generalized Geometry the $R$-fluxes are consistently coupled with such a gravity. An $R$-flux appears as a torsion of the corresponding connection in a similar way as an $H$-flux which appears as a torsion of the connection for- mulated in the standard Generalized Geometry. We give an analogue of the Einstein-Hilbert action coupled with an $R$-flux, and show that it is invariant under both $\beta$-diffeomorphisms and $\beta$-gauge transformations. |
1402.3140 | Frank Thuillier | Enore Guadagnini and Frank Thuillier | Path-integral invariants in abelian Chern-Simons theory | null | Nucl.Phys. B882 (2014) 450-484 | 10.1016/j.nuclphysb.2014.03.009 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the $U(1)$ Chern-Simons gauge theory defined in a general closed
oriented 3-manifold $M$; the functional integration is used to compute the
normalized partition function and the expectation values of the link
holonomies. The nonperturbative path-integral is defined in the space of the
gauge orbits of the connections which belong to the various inequivalent $U(1)$
principal bundles over $M$; the different sectors of the configuration space
are labelled by the elements of the first homology group of $M$ and are
characterized by appropriate background connections. The gauge orbits of flat
connections, whose classification is also based on the homology group, control
the extent of the nonperturbative contributions to the mean values. The
functional integration is achieved in any 3-manifold $M$, and the corresponding
path-integral invariants turn out to be strictly related with the abelian
Reshetikhin-Turaev surgery invariants.
| [
{
"created": "Thu, 13 Feb 2014 14:09:22 GMT",
"version": "v1"
}
] | 2015-05-29 | [
[
"Guadagnini",
"Enore",
""
],
[
"Thuillier",
"Frank",
""
]
] | We consider the $U(1)$ Chern-Simons gauge theory defined in a general closed oriented 3-manifold $M$; the functional integration is used to compute the normalized partition function and the expectation values of the link holonomies. The nonperturbative path-integral is defined in the space of the gauge orbits of the connections which belong to the various inequivalent $U(1)$ principal bundles over $M$; the different sectors of the configuration space are labelled by the elements of the first homology group of $M$ and are characterized by appropriate background connections. The gauge orbits of flat connections, whose classification is also based on the homology group, control the extent of the nonperturbative contributions to the mean values. The functional integration is achieved in any 3-manifold $M$, and the corresponding path-integral invariants turn out to be strictly related with the abelian Reshetikhin-Turaev surgery invariants. |
hep-th/0612015 | Andrei Gruzinov | A. Gruzinov and M. Kleban | Causality Constrains Higher Curvature Corrections to Gravity | 5 pages | Class.Quant.Grav.24:3521-3524,2007 | 10.1088/0264-9381/24/13/N02 | null | hep-th astro-ph gr-qc | null | We show that causality constrains the sign of quartic Riemann corrections to
the Einstein-Hilbert action. Our constraint constitutes a restriction on
candidate theories of quantum gravity.
| [
{
"created": "Mon, 4 Dec 2006 19:17:10 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Gruzinov",
"A.",
""
],
[
"Kleban",
"M.",
""
]
] | We show that causality constrains the sign of quartic Riemann corrections to the Einstein-Hilbert action. Our constraint constitutes a restriction on candidate theories of quantum gravity. |
hep-th/9801117 | Olaf Lechtenfeld | Chandrashekar Devchand and Olaf Lechtenfeld | On the Self-Dual Geometry of N=2 Strings | 6 pages, LaTeX; contribution to the 31st Ahrenshoop International
Symposium on the Theory of Elementary Particles, Buckow, Germany, 2-6
September 1997 | null | null | null | hep-th | null | We discuss the precise relation of the open N=2 string to a self-dual
Yang-Mills (SDYM) system in 2+2 dimensions. In particular, we review the
description of the string target space action in terms of SDYM in a ``picture
hyperspace'' parametrised by the standard vectorial R^{2,2} coordinate together
with a commuting spinor of SO(2,2). The component form contains an infinite
tower of prepotentials coupled to the one representing the SDYM degree of
freedom. The truncation to five fields yields a novel one-loop exact lagrangean
field theory.
| [
{
"created": "Sat, 17 Jan 1998 13:12:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Devchand",
"Chandrashekar",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | We discuss the precise relation of the open N=2 string to a self-dual Yang-Mills (SDYM) system in 2+2 dimensions. In particular, we review the description of the string target space action in terms of SDYM in a ``picture hyperspace'' parametrised by the standard vectorial R^{2,2} coordinate together with a commuting spinor of SO(2,2). The component form contains an infinite tower of prepotentials coupled to the one representing the SDYM degree of freedom. The truncation to five fields yields a novel one-loop exact lagrangean field theory. |
2401.00040 | Shing Yan Li | Shing Yan Li, Washington Taylor | Towards natural and realistic $E_7$ GUTs in F-theory | 52 pages, 1 figure | JHEP 05 (2024) 334 | 10.1007/JHEP05(2024)334 | MIT-CTP/5566 | hep-th hep-ph math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider phenomenological aspects of a natural class of Standard
Model-like supersymmetric F-theory vacua realized through flux breaking of
rigid $E_7$ gauge factors. Three generations of Standard Model matter are
realized in many of these vacua. We further find that many other Standard
Model-like features are naturally compatible with these constructions. For
example, dimension-4 and 5 terms associated with proton decay are ubiquitously
suppressed. Many of these features are due to the group theoretical structure
of $E_7$ and associated F-theory geometry. In particular, a set of approximate
global symmetries descends from the $E_7$ group, leading to exponential
suppression of undesired couplings.
| [
{
"created": "Fri, 29 Dec 2023 19:00:00 GMT",
"version": "v1"
}
] | 2024-06-04 | [
[
"Li",
"Shing Yan",
""
],
[
"Taylor",
"Washington",
""
]
] | We consider phenomenological aspects of a natural class of Standard Model-like supersymmetric F-theory vacua realized through flux breaking of rigid $E_7$ gauge factors. Three generations of Standard Model matter are realized in many of these vacua. We further find that many other Standard Model-like features are naturally compatible with these constructions. For example, dimension-4 and 5 terms associated with proton decay are ubiquitously suppressed. Many of these features are due to the group theoretical structure of $E_7$ and associated F-theory geometry. In particular, a set of approximate global symmetries descends from the $E_7$ group, leading to exponential suppression of undesired couplings. |
1403.6003 | Antonio Rago Dr | Ferdinando Gliozzi and Antonio Rago | Critical exponents of the 3d Ising and related models from Conformal
Bootstrap | Latex, 19 pages, 9 figures, v4: updated literature results | null | 10.1007/JHEP10(2014)042 | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The constraints of conformal bootstrap are applied to investigate a set of
conformal field theories in various dimensions. The prescriptions can be
applied to both unitary and non unitary theories allowing for the study of the
spectrum of low-lying primary operators of the theory. We evaluate the lowest
scaling dimensions of the local operators associated with the Yang-Lee edge
singularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions of
six scalars and four spinning operators for the 3d critical Ising model. Our
findings are in agreement with existing results to a per mill precision and
estimate several new exponents.
| [
{
"created": "Mon, 24 Mar 2014 15:32:53 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2014 10:35:52 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Oct 2014 14:38:21 GMT",
"version": "v3"
},
{
"created": "Mon, 16 Mar 2015 22:33:08 GMT",
"version": "v4"
}
] | 2015-06-19 | [
[
"Gliozzi",
"Ferdinando",
""
],
[
"Rago",
"Antonio",
""
]
] | The constraints of conformal bootstrap are applied to investigate a set of conformal field theories in various dimensions. The prescriptions can be applied to both unitary and non unitary theories allowing for the study of the spectrum of low-lying primary operators of the theory. We evaluate the lowest scaling dimensions of the local operators associated with the Yang-Lee edge singularity for $2 \le D \le 6$. Likewise we obtain the scaling dimensions of six scalars and four spinning operators for the 3d critical Ising model. Our findings are in agreement with existing results to a per mill precision and estimate several new exponents. |
hep-th/9202069 | Gustav Delius | G.W. Delius, M.T. Grisaru and D. Zanon | Quantum Conserved Currents in Affine Toda Theories | 19 pages | Nucl.Phys.B385:307-328,1992 | 10.1016/0550-3213(92)90103-I | null | hep-th | null | We study the renormalization and conservation at the quantum level of
higher-spin currents in affine Toda theories with particular emphasis on the
nonsimply-laced cases. For specific examples, namely the spin-3 current for the
$a_3^{(2)}$ and $c_2^{(1)}$ theories, we prove conservation to all-loop order,
thus establishing the existence of factorized S-matrices. For these theories,
as well as the simply-laced $a_2^{(1)}$ theory, we compute one-loop corrections
to the corresponding higher-spin charges and study charge conservation for the
three-particle vertex function. For the $a_3^{(2)}$ theory we show that
although the current is conserved, anomalous threshold singularities spoil the
conservation of the corresponding charge for the on-shell vertex function,
implying a breakdown of some of the bootstrap procedures commonly used in
determining the exact S-matrix.
| [
{
"created": "Thu, 20 Feb 1992 11:54:02 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Delius",
"G. W.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Zanon",
"D.",
""
]
] | We study the renormalization and conservation at the quantum level of higher-spin currents in affine Toda theories with particular emphasis on the nonsimply-laced cases. For specific examples, namely the spin-3 current for the $a_3^{(2)}$ and $c_2^{(1)}$ theories, we prove conservation to all-loop order, thus establishing the existence of factorized S-matrices. For these theories, as well as the simply-laced $a_2^{(1)}$ theory, we compute one-loop corrections to the corresponding higher-spin charges and study charge conservation for the three-particle vertex function. For the $a_3^{(2)}$ theory we show that although the current is conserved, anomalous threshold singularities spoil the conservation of the corresponding charge for the on-shell vertex function, implying a breakdown of some of the bootstrap procedures commonly used in determining the exact S-matrix. |
hep-th/0304121 | Solange Odile Saliu | S. O. Saliu | Consistent interactions in a three-dimensional theory with tensor gauge
fields of degrees two and three | 21 pages, accepted for publication in Int. J. Mod. Phys. A | Int.J.Mod.Phys. A18 (2003) 4451-4468 | 10.1142/S0217751X03015350 | null | hep-th | null | All consistent interactions in a three-dimensional theory with tensor gauge
fields of degrees two and three are obtained by means of the deformation of the
solution to the master equation combined with cohomological techniques. The
local BRST cohomology of this model allows the deformation of the Lagrangian
action, accompanying gauge symmetries and gauge algebra. The relationship with
the Chern--Simons theory is discussed.
| [
{
"created": "Sat, 12 Apr 2003 09:48:44 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Saliu",
"S. O.",
""
]
] | All consistent interactions in a three-dimensional theory with tensor gauge fields of degrees two and three are obtained by means of the deformation of the solution to the master equation combined with cohomological techniques. The local BRST cohomology of this model allows the deformation of the Lagrangian action, accompanying gauge symmetries and gauge algebra. The relationship with the Chern--Simons theory is discussed. |
hep-th/0403267 | Anders Bengtsson | A. K. H. Bengtsson | An Abstract Interface to Higher Spin Gauge Field Theory | 40 pages, typos corrected, references added, subsection added,
sections renamed | J.Math.Phys.46:042312,2005 | 10.1063/1.1867976 | null | hep-th | null | A comprehensive approach to the theory of higher spin gauge fields is
proposed. By explicitly separating out details of implementation from general
principles, it becomes possible to focus on the bare minimum of requirements
that such a theory must satisfy. The abstraction is based on a survey of the
progress that has been achieved since relativistic wave equations for higher
spin fields were first considered in the nineteen thirties. As a byproduct, a
formalism is obtained that is abstract enough to describe a wide class of
classical field theories. The formalism, viewed as syntax, can then be
semantically mapped to a category of homotopy Lie algebras, thus showing that
the theory in some sense exists, at least as an abstract mathematical
structure. Still, a concrete physics-like, implementation remains to be
constructed. Lacking deep physical insight into the problem, an implementation
in terms of generalized vertex operators is set up within which a brute force
iterative determination of the first few orders in the interaction can be
attempted.
| [
{
"created": "Fri, 26 Mar 2004 15:03:22 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jun 2004 09:04:29 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Bengtsson",
"A. K. H.",
""
]
] | A comprehensive approach to the theory of higher spin gauge fields is proposed. By explicitly separating out details of implementation from general principles, it becomes possible to focus on the bare minimum of requirements that such a theory must satisfy. The abstraction is based on a survey of the progress that has been achieved since relativistic wave equations for higher spin fields were first considered in the nineteen thirties. As a byproduct, a formalism is obtained that is abstract enough to describe a wide class of classical field theories. The formalism, viewed as syntax, can then be semantically mapped to a category of homotopy Lie algebras, thus showing that the theory in some sense exists, at least as an abstract mathematical structure. Still, a concrete physics-like, implementation remains to be constructed. Lacking deep physical insight into the problem, an implementation in terms of generalized vertex operators is set up within which a brute force iterative determination of the first few orders in the interaction can be attempted. |
1503.04783 | William Cottrell | Jon Brown, William Cottrell, Gary Shiu and Pablo Soler | Fencing in the Swampland: Quantum Gravity Constraints on Large Field
Inflation | 25 pages | null | null | MAD-TH-15-04 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we show that models of natural inflation based on closed string
axions are incompatible with the weak gravity conjecture (WGC). Specifically,
we use T-duality in order to map the bounds on the charge-to-mass ratio of
particles imposed by the WGC, to constraints on the ratio between instanton
actions and axion decay constants. We use this connection to prove that if the
WGC holds, even when multiple axions are present and mix with each other, one
cannot have large axion decay constants while remaining in a regime of
perturbative control. We also discuss the extension of the WGC to discrete
symmetries and its possible impact on models with axion monodromy, and the
distinction between the strong and mild versions of the WGC. Finally, we offer
some speculations regarding the import of these results to the general theory
of inflation.
| [
{
"created": "Mon, 16 Mar 2015 19:38:09 GMT",
"version": "v1"
}
] | 2015-04-20 | [
[
"Brown",
"Jon",
""
],
[
"Cottrell",
"William",
""
],
[
"Shiu",
"Gary",
""
],
[
"Soler",
"Pablo",
""
]
] | In this note we show that models of natural inflation based on closed string axions are incompatible with the weak gravity conjecture (WGC). Specifically, we use T-duality in order to map the bounds on the charge-to-mass ratio of particles imposed by the WGC, to constraints on the ratio between instanton actions and axion decay constants. We use this connection to prove that if the WGC holds, even when multiple axions are present and mix with each other, one cannot have large axion decay constants while remaining in a regime of perturbative control. We also discuss the extension of the WGC to discrete symmetries and its possible impact on models with axion monodromy, and the distinction between the strong and mild versions of the WGC. Finally, we offer some speculations regarding the import of these results to the general theory of inflation. |
1110.6389 | Roberto Percacci | R. Percacci | A short introduction to asymptotic safety | In the proceedings of the conference "Time and matter", Budva,
Montenegro, October 2010. 18 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I discuss the notion of asymptotic safety and possible applications to
quantum field theories of gravity and matter.
| [
{
"created": "Fri, 28 Oct 2011 16:26:42 GMT",
"version": "v1"
}
] | 2011-10-31 | [
[
"Percacci",
"R.",
""
]
] | I discuss the notion of asymptotic safety and possible applications to quantum field theories of gravity and matter. |
1412.7207 | Maximilian Demmel | Maximilian Demmel, Frank Saueressig, Omar Zanusso | RG flows of Quantum Einstein Gravity in the linear-geometric
approximation | 32 pages, 4 figues | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a novel Wetterich-type functional renormalization group equation
for gravity which encodes the gravitational degrees of freedom in terms of
gauge-invariant fluctuation fields. Applying a linear-geometric approximation
the structure of the new flow equation is considerably simpler than the
standard Quantum Einstein Gravity construction since only transverse-traceless
and trace part of the metric fluctuations propagate in loops. The geometric
flow reproduces the phase-diagram of the Einstein-Hilbert truncation including
the non-Gaussian fixed point essential for Asymptotic Safety. Extending the
analysis to the polynomial $f(R)$-approximation establishes that this fixed
point comes with similar properties as the one found in metric Quantum Einstein
Gravity; in particular it possesses three UV-relevant directions and is stable
with respect to deformations of the regulator functions by endomorphisms.
| [
{
"created": "Mon, 22 Dec 2014 23:26:29 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 2015 22:12:51 GMT",
"version": "v2"
}
] | 2015-04-30 | [
[
"Demmel",
"Maximilian",
""
],
[
"Saueressig",
"Frank",
""
],
[
"Zanusso",
"Omar",
""
]
] | We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the structure of the new flow equation is considerably simpler than the standard Quantum Einstein Gravity construction since only transverse-traceless and trace part of the metric fluctuations propagate in loops. The geometric flow reproduces the phase-diagram of the Einstein-Hilbert truncation including the non-Gaussian fixed point essential for Asymptotic Safety. Extending the analysis to the polynomial $f(R)$-approximation establishes that this fixed point comes with similar properties as the one found in metric Quantum Einstein Gravity; in particular it possesses three UV-relevant directions and is stable with respect to deformations of the regulator functions by endomorphisms. |
hep-th/0301079 | Nadav Drukker | Nadav Drukker | On different actions for the vacuum of bosonic string field theory | 15 pages | JHEP 0308:017,2003 | 10.1088/1126-6708/2003/08/017 | WIS/01/03/JAN-DPP | hep-th | null | We study a family of kinetic operators in string field theory describing the
theory around the closed string vacuum. Those operators are based on the
analytical classical solutions of Takahashi and Tanimoto and are analogous to
the pure ghost action usually referred to as "vacuum string field theory," but
are much more general, and less singular than the pure ghost operator. The
closed string vacuum is related to the D-brane vacuum by large, singular, gauge
transformations or field redefinition, and all those different representations
are related to each other by small gauge transformations. We try to clarify the
nature of this singular gauge transformation. We also show that by choosing the
Siegel gauge one recovers the propagator proposed in hep-th/0207266 that
generates closed string surfaces.
| [
{
"created": "Mon, 13 Jan 2003 17:44:41 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Drukker",
"Nadav",
""
]
] | We study a family of kinetic operators in string field theory describing the theory around the closed string vacuum. Those operators are based on the analytical classical solutions of Takahashi and Tanimoto and are analogous to the pure ghost action usually referred to as "vacuum string field theory," but are much more general, and less singular than the pure ghost operator. The closed string vacuum is related to the D-brane vacuum by large, singular, gauge transformations or field redefinition, and all those different representations are related to each other by small gauge transformations. We try to clarify the nature of this singular gauge transformation. We also show that by choosing the Siegel gauge one recovers the propagator proposed in hep-th/0207266 that generates closed string surfaces. |
hep-th/9505125 | Kenneth S. Clubok | K. Clubok and M.B. Halpern | The Generic World-Sheet Action of Irrational Conformal Field Theory | 13 pages, Latex, Talk by MBH at the USC conference "Strings 95" | null | null | UCB-PTH-95/15, LBL-37255 | hep-th | null | We review developments in the world-sheet action formulation of the generic
irrational conformal field theory, including the non-linear and the linearized
forms of the action. These systems form a large class of spin-two gauged WZW
actions which exhibit exotic gravitational couplings. Integrating out the
gravitational field, we also speculate on a connection with sigma models.
| [
{
"created": "Fri, 19 May 1995 21:38:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Clubok",
"K.",
""
],
[
"Halpern",
"M. B.",
""
]
] | We review developments in the world-sheet action formulation of the generic irrational conformal field theory, including the non-linear and the linearized forms of the action. These systems form a large class of spin-two gauged WZW actions which exhibit exotic gravitational couplings. Integrating out the gravitational field, we also speculate on a connection with sigma models. |
hep-th/0012073 | Carsten Van de Bruck | C. van de Bruck, M. Dorca | On Cosmological Perturbations on a Brane in an Anti-de Sitter Bulk | 8 pages, no figure | null | null | DAMTP-2000-133, BROWN-HET-1249 | hep-th astro-ph gr-qc hep-ph | null | In this paper, we consider cosmological perturbations on a brane universe
embedded in an Anti-de Sitter bulk. We use a novel gauge, in which the full
five-dimensional problem is in principle solvable. In this gauge we derive the
equations for scalar, vector and tensor perturbations. These equations are
necessary in order to calculate microwave background anisotropies in this
particular scenario. Throughout the paper, we draw attention to the influence
of the bulk gravitons, which act as a source for the perturbations on the
brane. In addition, we find that isocurvature modes are generated due to the
influence of bulk gravitons.
| [
{
"created": "Fri, 8 Dec 2000 15:43:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"van de Bruck",
"C.",
""
],
[
"Dorca",
"M.",
""
]
] | In this paper, we consider cosmological perturbations on a brane universe embedded in an Anti-de Sitter bulk. We use a novel gauge, in which the full five-dimensional problem is in principle solvable. In this gauge we derive the equations for scalar, vector and tensor perturbations. These equations are necessary in order to calculate microwave background anisotropies in this particular scenario. Throughout the paper, we draw attention to the influence of the bulk gravitons, which act as a source for the perturbations on the brane. In addition, we find that isocurvature modes are generated due to the influence of bulk gravitons. |
hep-th/0006121 | Vladimir Nesterenko | V.V. Nesterenko, G. Lambiase, and G. Scarpetta | Casimir effect for a dilute dielectric ball at finite temperature | 15 pages, REVTeX, no figures, no tables; editor corrections are
introduced, version published in Phys. Rev. D 15 | Phys.Rev. D64 (2001) 025013 | 10.1103/PhysRevD.64.025013 | null | hep-th | null | The Casimir effect at finite temperature is investigated for a dilute
dielectric ball; i.e., the relevant internal and free energies are calculated.
The starting point in this study is a rigorous general expression for the
internal energy of a system of noninteracting oscillators in terms of the sum
over the Matsubara frequencies. Summation over the angular momentum values is
accomplished in a closed form by making use of the addition theorem for the
relevant Bessel functions. For removing the divergences the renormalization
procedure is applied that has been developed in the calculation of the
corresponding Casimir energy at zero temperature. The behavior of the
thermodynamic characteristics in the low and high temperature limits is
investigated.
| [
{
"created": "Fri, 16 Jun 2000 14:38:58 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2001 19:05:39 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Sep 2001 08:20:47 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Nesterenko",
"V. V.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Scarpetta",
"G.",
""
]
] | The Casimir effect at finite temperature is investigated for a dilute dielectric ball; i.e., the relevant internal and free energies are calculated. The starting point in this study is a rigorous general expression for the internal energy of a system of noninteracting oscillators in terms of the sum over the Matsubara frequencies. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. For removing the divergences the renormalization procedure is applied that has been developed in the calculation of the corresponding Casimir energy at zero temperature. The behavior of the thermodynamic characteristics in the low and high temperature limits is investigated. |
hep-th/9309003 | Robert Marnelius | Robert Marnelius | A note on path integrals and time evolutions in BRST quantization | 11,ITP-G\"{o}teborg 93-19, latexfile | Phys.Lett.B318:92-98,1993 | 10.1016/0370-2693(93)91789-P | null | hep-th | null | Recent formal solutions of BRST quantization on inner product spaces within
the operator method are shown to lead to an unexpected interpretation of the
conventional path integral formulation. The relation between the Hamiltonians
in the two formulations is nontrivial. For the operator method the
correspondence requires certain quantum rules which make the formal solutions
exact, and for the path integral the correspondence yields a precise connection
between boundary conditions and the choice of gauge fixing.
| [
{
"created": "Wed, 1 Sep 1993 06:57:41 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Marnelius",
"Robert",
""
]
] | Recent formal solutions of BRST quantization on inner product spaces within the operator method are shown to lead to an unexpected interpretation of the conventional path integral formulation. The relation between the Hamiltonians in the two formulations is nontrivial. For the operator method the correspondence requires certain quantum rules which make the formal solutions exact, and for the path integral the correspondence yields a precise connection between boundary conditions and the choice of gauge fixing. |
hep-th/9304092 | Giudo Cognola | Klaus Kirsten, Guido Cognola and Luciano Vanzo | Effective Lagrangian for self-interacting scalar field theories in
curved spacetime | 14 pages, LaTex, UTF 293 | Phys.Rev. D48 (1993) 2813-2822 | 10.1103/PhysRevD.48.2813 | null | hep-th | null | We consider a self-interacting scalar field theory in a slowly varying
gravitational background field. Using zeta-function regularization and
heat-kernel techniques, we derive the one-loop effective Lagrangian up to
second order in the variation of the background field and up to quadratic terms
in the curvature tensors. Specializing to different spacetimes of physical
interest, the influence of the curvature on the phase transition is considered.
| [
{
"created": "Wed, 21 Apr 1993 11:24:39 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kirsten",
"Klaus",
""
],
[
"Cognola",
"Guido",
""
],
[
"Vanzo",
"Luciano",
""
]
] | We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the variation of the background field and up to quadratic terms in the curvature tensors. Specializing to different spacetimes of physical interest, the influence of the curvature on the phase transition is considered. |
2107.14450 | Kazuo Ghoroku | Kazuo Ghoroku, Kouji Kashiwa, Yoshimasa Nakano, Motoi Tachibana and
Fumihiko Toyoda | Stiff equation of state for a holographic nuclear matter as instanton
gas | 19 pages, 3 figures | null | 10.1103/PhysRevD.104.126002 | FIT HE-21-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a holographic model, which was used to investigate the color
superconducting phase of QCD, a dilute gas of instantons is introduced to study
the nuclear matter. The free energy of the nuclear matter is computed as a
function of the baryon chemical potential in the probe approximation. Then the
equation of state is obtained at low temperature. Using the equation of state
for the nuclear matter, the Tolman-Oppenheimer-Volkov equations for a cold
compact star are solved. We find the mass-radius relation of the star, which is
similar to the one for quark star. This similarity implies that the instanton
gas given here is a kind of self-bound matter.
| [
{
"created": "Fri, 30 Jul 2021 06:41:11 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Dec 2021 11:36:30 GMT",
"version": "v2"
}
] | 2021-12-15 | [
[
"Ghoroku",
"Kazuo",
""
],
[
"Kashiwa",
"Kouji",
""
],
[
"Nakano",
"Yoshimasa",
""
],
[
"Tachibana",
"Motoi",
""
],
[
"Toyoda",
"Fumihiko",
""
]
] | In a holographic model, which was used to investigate the color superconducting phase of QCD, a dilute gas of instantons is introduced to study the nuclear matter. The free energy of the nuclear matter is computed as a function of the baryon chemical potential in the probe approximation. Then the equation of state is obtained at low temperature. Using the equation of state for the nuclear matter, the Tolman-Oppenheimer-Volkov equations for a cold compact star are solved. We find the mass-radius relation of the star, which is similar to the one for quark star. This similarity implies that the instanton gas given here is a kind of self-bound matter. |
1207.5331 | Andrej El | Andrej El, Francesco Lauciello, Christian Wesp, Ioannis Bouras, Zhe Xu
and Carsten Greiner | Shear viscosity of an ultrarelativistic Boltzmann gas with isotropic
inelastic scattering processes | 12 pages, 1 figure, as published in Nuclear Physics A | null | 10.1016/j.nuclphysa.2014.02.009 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive an analytic expression for the shear viscosity of an
ultra-relativistic gas in presence of both elastic $2\to 2$ and inelastic
$2\leftrightarrow 3$ processes with isotropic differential cross sections. The
derivation is based on the entropy principle and Grad's approximation for the
off-equilibrium distribution function. The obtained formula relates the shear
viscosity coefficient $\eta$ to the total cross sections $\sigma_{22}$ and
$\sigma_{23}$ of the elastic resp. inelastic processes. The values of shear
viscosity extracted using the Green-Kubo formula from kinetic transport
calculations are shown to be in excellent agreement with the analytic results
which demonstrates the validity of the derived formula.
| [
{
"created": "Mon, 23 Jul 2012 09:33:59 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Oct 2013 14:46:25 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Apr 2014 10:23:17 GMT",
"version": "v3"
}
] | 2014-04-28 | [
[
"El",
"Andrej",
""
],
[
"Lauciello",
"Francesco",
""
],
[
"Wesp",
"Christian",
""
],
[
"Bouras",
"Ioannis",
""
],
[
"Xu",
"Zhe",
""
],
[
"Greiner",
"Carsten",
""
]
] | We derive an analytic expression for the shear viscosity of an ultra-relativistic gas in presence of both elastic $2\to 2$ and inelastic $2\leftrightarrow 3$ processes with isotropic differential cross sections. The derivation is based on the entropy principle and Grad's approximation for the off-equilibrium distribution function. The obtained formula relates the shear viscosity coefficient $\eta$ to the total cross sections $\sigma_{22}$ and $\sigma_{23}$ of the elastic resp. inelastic processes. The values of shear viscosity extracted using the Green-Kubo formula from kinetic transport calculations are shown to be in excellent agreement with the analytic results which demonstrates the validity of the derived formula. |
hep-th/9407027 | null | Riccardo Guida, Kenichi Konishi and Hiroshi Suzuki | Convergence of Scaled Delta Expansion: Anharmonic Oscillator | 37 pages (with 11 figures uuencoded at the end of the file,to be
stripped off), GEF-Th-7/1994 | Annals Phys. 241 (1995) 152-184 | 10.1006/aphy.1995.1059 | null | hep-th hep-ph | null | We prove that the linear delta expansion for energy eigenvalues of the
quantum mechanical anharmonic oscillator converges to the exact answer if the
order dependent trial frequency $\Omega$ is chosen to scale with the order as
$\Omega=CN^\gamma$; $1/3<\gamma<1/2$, $C>0$ as $N\rightarrow\infty$. It
converges also for $\gamma=1/3$, if $C\geq\alpha_c g^{1/3}$, $\alpha_c\simeq
0.570875$, where $g$ is the coupling constant in front of the operator $q^4/4$.
The extreme case with $\gamma=1/3$, $C=\alpha_cg^{1/3}$ corresponds to the
choice discussed earlier by Seznec and Zinn-Justin and, more recently, by
Duncan and Jones.
| [
{
"created": "Tue, 5 Jul 1994 14:42:29 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Guida",
"Riccardo",
""
],
[
"Konishi",
"Kenichi",
""
],
[
"Suzuki",
"Hiroshi",
""
]
] | We prove that the linear delta expansion for energy eigenvalues of the quantum mechanical anharmonic oscillator converges to the exact answer if the order dependent trial frequency $\Omega$ is chosen to scale with the order as $\Omega=CN^\gamma$; $1/3<\gamma<1/2$, $C>0$ as $N\rightarrow\infty$. It converges also for $\gamma=1/3$, if $C\geq\alpha_c g^{1/3}$, $\alpha_c\simeq 0.570875$, where $g$ is the coupling constant in front of the operator $q^4/4$. The extreme case with $\gamma=1/3$, $C=\alpha_cg^{1/3}$ corresponds to the choice discussed earlier by Seznec and Zinn-Justin and, more recently, by Duncan and Jones. |
hep-th/0511001 | Joris Van den Bergh | Ana Achucarro, Alessio Celi, Mboyo Esole, Joris Van den Bergh, Antoine
Van Proeyen | D-term cosmic strings from N=2 Supergravity | 37 pages, LaTeX, v2: minor corrections, references added, version to
be published in JHEP | JHEP0601:102,2006 | 10.1088/1126-6708/2006/01/102 | null | hep-th | null | We describe new half-BPS cosmic string solutions in N=2, d=4 supergravity
coupled to one vector multiplet and one hypermultiplet. They are closely
related to D-term strings in N=1 supergravity. Fields of the N=2 theory that
are frozen in the solution contribute to the triplet moment map of the
quaternionic isometries and leave their trace in N=1 as a constant
Fayet-Iliopoulos term. The choice of U(1) gauging and of special geometry are
crucial. The construction gives rise to a non-minimal Kaehler potential and can
be generalized to higher dimensional quaternionic-Kaehler manifolds.
| [
{
"created": "Tue, 1 Nov 2005 16:08:39 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Dec 2005 13:40:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Achucarro",
"Ana",
""
],
[
"Celi",
"Alessio",
""
],
[
"Esole",
"Mboyo",
""
],
[
"Bergh",
"Joris Van den",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We describe new half-BPS cosmic string solutions in N=2, d=4 supergravity coupled to one vector multiplet and one hypermultiplet. They are closely related to D-term strings in N=1 supergravity. Fields of the N=2 theory that are frozen in the solution contribute to the triplet moment map of the quaternionic isometries and leave their trace in N=1 as a constant Fayet-Iliopoulos term. The choice of U(1) gauging and of special geometry are crucial. The construction gives rise to a non-minimal Kaehler potential and can be generalized to higher dimensional quaternionic-Kaehler manifolds. |
hep-th/0010051 | Andrei Litvintsev | Andrei Litvintsev and Peter van Nieuwenhuizen | Once more on the BPS bound for the susy kink | 28 pages, 4 figures | null | null | YITP-00-18 | hep-th | null | We consider a new momentum cut-off scheme for sums over zero-point energies,
containing an arbitrary function f(k) which interpolates smoothly between the
zero-point energies of the modes around the kink and those in flat space. A
term proportional to df(k)/dk modifies the result for the one-loop quantum mass
M^(1) as obtained from naive momentum cut-off regularization, which now agrees
with previous results, both for the nonsusy and susy case. We also introduce a
new regularization scheme for the evaluation of the one-loop correction to the
central charge Z^(1), with a cut-off K for the Dirac delta function in the
canonical commutation relations and a cut-off \Lambda for the loop momentum.
The result for Z^(1) depends only on whether K>\Lambda or K<\Lambda or
K=\Lambda. The last case yields the correct result and saturates the BPS bound,
M^(1)=Z^(1),in agreement with the fact that multiplet shortening does occur in
this N=(1,1) system. We show how to apply mode number regularization by
considering first a kink-antikink system, and also obtain the correct result
with this method. Finally we discuss the relation of these new schemes to
previous approaches based on the Born expansion of phase shifts and
higher-derivative regularization.
| [
{
"created": "Sat, 7 Oct 2000 21:02:37 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Nov 2000 22:49:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Litvintsev",
"Andrei",
""
],
[
"van Nieuwenhuizen",
"Peter",
""
]
] | We consider a new momentum cut-off scheme for sums over zero-point energies, containing an arbitrary function f(k) which interpolates smoothly between the zero-point energies of the modes around the kink and those in flat space. A term proportional to df(k)/dk modifies the result for the one-loop quantum mass M^(1) as obtained from naive momentum cut-off regularization, which now agrees with previous results, both for the nonsusy and susy case. We also introduce a new regularization scheme for the evaluation of the one-loop correction to the central charge Z^(1), with a cut-off K for the Dirac delta function in the canonical commutation relations and a cut-off \Lambda for the loop momentum. The result for Z^(1) depends only on whether K>\Lambda or K<\Lambda or K=\Lambda. The last case yields the correct result and saturates the BPS bound, M^(1)=Z^(1),in agreement with the fact that multiplet shortening does occur in this N=(1,1) system. We show how to apply mode number regularization by considering first a kink-antikink system, and also obtain the correct result with this method. Finally we discuss the relation of these new schemes to previous approaches based on the Born expansion of phase shifts and higher-derivative regularization. |
2407.03408 | Zhongjie Huang | Zhongjie Huang, Bo Wang, Ellis Ye Yuan | All Next-Next-to-Extremal One-Loop Correlators of AdS Supergluons and
Supergravitons | 10 pages + 1 Mathematica notebook | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We bootstrap all of the next-next-to-extremal one-loop four-point correlators
of supergravitons and supergluons in ${\rm AdS_5}$ using a differential
representation, and obtain closed formulas that are valid in both position
space and Mellin space simultaneously.
| [
{
"created": "Wed, 3 Jul 2024 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2024 05:30:28 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Huang",
"Zhongjie",
""
],
[
"Wang",
"Bo",
""
],
[
"Yuan",
"Ellis Ye",
""
]
] | We bootstrap all of the next-next-to-extremal one-loop four-point correlators of supergravitons and supergluons in ${\rm AdS_5}$ using a differential representation, and obtain closed formulas that are valid in both position space and Mellin space simultaneously. |
hep-th/0601049 | Michael Thies | Michael Thies | From relativistic quantum fields to condensed matter and back again:
Updating the Gross-Neveu phase diagram | 33 pages, 12 figures; invited contribution to a special issue of
Journal of Physics A on "QFT in lower dimensions and its applications" | J.Phys.A39:12707-12734,2006 | 10.1088/0305-4470/39/41/S04 | FAU-TP3-06/1 | hep-th cond-mat.str-el hep-lat hep-ph | null | During the last few years, the phase diagram of the large N Gross-Neveu model
in 1+1 dimensions at finite temperature and chemical potential has undergone a
major revision. Here we present a streamlined account of this development,
collecting the most important results. Quasi-one-dimensional condensed matter
systems like conducting polymers provide real physical systems which can be
approximately described by the Gross-Neveu model and have played some role in
establishing its phase structure. The kink-antikink phase found at low
temperatures is closely related to inhomogeneous superconductors in the
Larkin-Ovchinnikov-Fulde-Ferrell phase. With the complete phase diagram at
hand, the Gross-Neveu model can now serve as a firm testing ground for new
algorithms and theoretical ideas.
| [
{
"created": "Mon, 9 Jan 2006 09:39:28 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Thies",
"Michael",
""
]
] | During the last few years, the phase diagram of the large N Gross-Neveu model in 1+1 dimensions at finite temperature and chemical potential has undergone a major revision. Here we present a streamlined account of this development, collecting the most important results. Quasi-one-dimensional condensed matter systems like conducting polymers provide real physical systems which can be approximately described by the Gross-Neveu model and have played some role in establishing its phase structure. The kink-antikink phase found at low temperatures is closely related to inhomogeneous superconductors in the Larkin-Ovchinnikov-Fulde-Ferrell phase. With the complete phase diagram at hand, the Gross-Neveu model can now serve as a firm testing ground for new algorithms and theoretical ideas. |
2109.07516 | Barak Gabai | Barak Gabai, Xi Yin | Exact quantization and analytic continuation | 35 pages, 10 figures. v2: Typos corrected, references added | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we give a streamlined derivation of the exact quantization
condition (EQC) on the quantum periods of the Schr\"odinger problem in one
dimension with a general polynomial potential, based on Wronskian relations. We
further generalize the EQC to potentials with a regular singularity, describing
spherical symmetric quantum mechanical systems in a given angular momentum
sector. We show that the thermodynamic Bethe ansatz (TBA) equations that govern
the quantum periods undergo nontrivial monodromies as the angular momentum is
analytically continued between integer values in the complex plane. The TBA
equations together with the EQC are checked numerically against Hamiltonian
truncation at real angular momenta and couplings, and are used to explore the
analytic continuation of the spectrum on the complex angular momentum plane in
examples.
| [
{
"created": "Wed, 15 Sep 2021 18:22:15 GMT",
"version": "v1"
},
{
"created": "Sun, 29 May 2022 16:59:15 GMT",
"version": "v2"
}
] | 2022-05-31 | [
[
"Gabai",
"Barak",
""
],
[
"Yin",
"Xi",
""
]
] | In this paper we give a streamlined derivation of the exact quantization condition (EQC) on the quantum periods of the Schr\"odinger problem in one dimension with a general polynomial potential, based on Wronskian relations. We further generalize the EQC to potentials with a regular singularity, describing spherical symmetric quantum mechanical systems in a given angular momentum sector. We show that the thermodynamic Bethe ansatz (TBA) equations that govern the quantum periods undergo nontrivial monodromies as the angular momentum is analytically continued between integer values in the complex plane. The TBA equations together with the EQC are checked numerically against Hamiltonian truncation at real angular momenta and couplings, and are used to explore the analytic continuation of the spectrum on the complex angular momentum plane in examples. |
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