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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1108.4990 | Alexander Vilenkin | Alexander Vilenkin | The Principle of Mediocrity | The Gerald Whitrow lecture delivered on 19 April 2011 at the National
Meeting of the Royal Astronomical Society in Llandudno, UK. To be published
in the October 2011 issue of A & G | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent developments in cosmology suggest that much of the universe is in a
state of explosive, accelerated expansion, called inflation. We live in a
"bubble" where inflation has ended, and other bubbles with diverse properties
are constantly being formed. Most, if not all, of these bubbles are beyond our
cosmic horizon and cannot be directly observed. I discuss the origin of this
new worldview, its possible observational tests, and its implications for the
beginning and the end of the universe.
| [
{
"created": "Thu, 25 Aug 2011 01:58:26 GMT",
"version": "v1"
}
] | 2011-08-26 | [
[
"Vilenkin",
"Alexander",
""
]
] | Recent developments in cosmology suggest that much of the universe is in a state of explosive, accelerated expansion, called inflation. We live in a "bubble" where inflation has ended, and other bubbles with diverse properties are constantly being formed. Most, if not all, of these bubbles are beyond our cosmic horizon and cannot be directly observed. I discuss the origin of this new worldview, its possible observational tests, and its implications for the beginning and the end of the universe. |
1004.1032 | David Kubiznak | Tsuyoshi Houri, David Kubiznak, Claude M. Warnick, Yukinori Yasui | Generalized hidden symmetries and the Kerr-Sen black hole | 33 pages, no figures | JHEP 1007:055,2010 | 10.1007/JHEP07(2010)055 | DAMTP-2010-23, OCU-PHYS 329 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on basic properties of generalized Killing-Yano tensors which
naturally extend Killing-Yano symmetry in the presence of skew-symmetric
torsion. In particular, we discuss their relationship to Killing tensors and
the separability of various field equations. We further demonstrate that the
Kerr-Sen black hole spacetime of heterotic string theory, as well as its
generalization to all dimensions, possesses a generalized closed conformal
Killing-Yano 2-form with respect to a torsion identified with the 3-form
occuring naturally in the theory. Such a 2-form is responsible for complete
integrability of geodesic motion as well as for separability of the scalar and
Dirac equations in these spacetimes.
| [
{
"created": "Wed, 7 Apr 2010 09:06:21 GMT",
"version": "v1"
}
] | 2010-07-29 | [
[
"Houri",
"Tsuyoshi",
""
],
[
"Kubiznak",
"David",
""
],
[
"Warnick",
"Claude M.",
""
],
[
"Yasui",
"Yukinori",
""
]
] | We elaborate on basic properties of generalized Killing-Yano tensors which naturally extend Killing-Yano symmetry in the presence of skew-symmetric torsion. In particular, we discuss their relationship to Killing tensors and the separability of various field equations. We further demonstrate that the Kerr-Sen black hole spacetime of heterotic string theory, as well as its generalization to all dimensions, possesses a generalized closed conformal Killing-Yano 2-form with respect to a torsion identified with the 3-form occuring naturally in the theory. Such a 2-form is responsible for complete integrability of geodesic motion as well as for separability of the scalar and Dirac equations in these spacetimes. |
2301.13275 | K. Scharnhorst | K. Scharnhorst (Vrije Universiteit Amsterdam) | On self-consistency in quantum field theory | 11 pages LaTeX | Letters in High Energy Physics (LHEP), vol. 2023, ID: 404 (2023) | 10.31526/lhep.2023.404 | null | hep-th hep-ph math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | A bootstrap approach to the effective action in quantum field theory is
discussed which entails the invariance under quantum fluctuations of the
effective action describing physical reality (via the S-matrix).
| [
{
"created": "Mon, 30 Jan 2023 20:35:46 GMT",
"version": "v1"
}
] | 2023-10-25 | [
[
"Scharnhorst",
"K.",
"",
"Vrije Universiteit Amsterdam"
]
] | A bootstrap approach to the effective action in quantum field theory is discussed which entails the invariance under quantum fluctuations of the effective action describing physical reality (via the S-matrix). |
0712.0918 | Joke Adam | J. Adam, B. Janssen, W. Troost, W. Van Herck | Some thoughts about matrix coordinate transformations | LaTeX, 12 pages | Phys.Lett.B662:220-226,2008 | 10.1016/j.physletb.2008.03.009 | null | hep-th | null | Matrix coordinate transformations are defined as substitution operators
without requiring an ordering prescription or an inclusion function from the
Abelian coordinate transformations. We construct transforming objects mimicking
most of the properties of tensors. We point out some problems with the matrix
generalization of contravariant vectors. We suggest to use the substitution
operators to search for an inclusion function.
| [
{
"created": "Thu, 6 Dec 2007 12:07:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Adam",
"J.",
""
],
[
"Janssen",
"B.",
""
],
[
"Troost",
"W.",
""
],
[
"Van Herck",
"W.",
""
]
] | Matrix coordinate transformations are defined as substitution operators without requiring an ordering prescription or an inclusion function from the Abelian coordinate transformations. We construct transforming objects mimicking most of the properties of tensors. We point out some problems with the matrix generalization of contravariant vectors. We suggest to use the substitution operators to search for an inclusion function. |
hep-th/0305225 | Marco Matone | Marco Matone and Luca Mazzucato | Branched Matrix Models and the Scales of Supersymmetric Gauge Theories | 1+18 pages, harvmac. Added discussion on the CSW relative shifts of
theta vacua and the odd phases at the critical point. References added and
typos corrected | JHEP 0307 (2003) 015 | 10.1088/1126-6708/2003/07/015 | DFPD02/TH/36, SISSA 23/2003/EP | hep-th hep-ph | null | In the framework of the matrix model/gauge theory correspondence, we consider
supersymmetric U(N) gauge theory with $U(1)^N$ symmetry breaking pattern. Due
to the presence of the Veneziano--Yankielowicz effective superpotential, in
order to satisfy the $F$--term condition $\sum_iS_i=0$, we are forced to
introduce additional terms in the free energy of the corresponding matrix model
with respect to the usual formulation. This leads to a matrix model formulation
with a cubic potential which is free of parameters and displays a branched
structure. In this way we naturally solve the usual problem of the
identification between dimensionful and dimensionless quantities. Furthermore,
we need not introduce the $\N=1$ scale by hand in the matrix model. These facts
are related to remarkable coincidences which arise at the critical point and
lead to a branched bare coupling constant. The latter plays the role of the
$\N=1$ and $\N=2$ scale tuning parameter. We then show that a suitable
rescaling leads to the correct identification of the $\N=2$ variables. Finally,
by means of the the mentioned coincidences, we provide a direct expression for
the $\N=2$ prepotential, including the gravitational corrections, in terms of
the free energy. This suggests that the matrix model provides a triangulation
of the istanton moduli space.
| [
{
"created": "Mon, 26 May 2003 18:02:37 GMT",
"version": "v1"
},
{
"created": "Mon, 26 May 2003 20:05:43 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jul 2003 14:34:42 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Matone",
"Marco",
""
],
[
"Mazzucato",
"Luca",
""
]
] | In the framework of the matrix model/gauge theory correspondence, we consider supersymmetric U(N) gauge theory with $U(1)^N$ symmetry breaking pattern. Due to the presence of the Veneziano--Yankielowicz effective superpotential, in order to satisfy the $F$--term condition $\sum_iS_i=0$, we are forced to introduce additional terms in the free energy of the corresponding matrix model with respect to the usual formulation. This leads to a matrix model formulation with a cubic potential which is free of parameters and displays a branched structure. In this way we naturally solve the usual problem of the identification between dimensionful and dimensionless quantities. Furthermore, we need not introduce the $\N=1$ scale by hand in the matrix model. These facts are related to remarkable coincidences which arise at the critical point and lead to a branched bare coupling constant. The latter plays the role of the $\N=1$ and $\N=2$ scale tuning parameter. We then show that a suitable rescaling leads to the correct identification of the $\N=2$ variables. Finally, by means of the the mentioned coincidences, we provide a direct expression for the $\N=2$ prepotential, including the gravitational corrections, in terms of the free energy. This suggests that the matrix model provides a triangulation of the istanton moduli space. |
hep-th/0201109 | Laurent Baulieu | Laurent Baulieu, Alessandro Tanzini (LPTHE Paris 6-7) | Topological Gravity versus Supergravity on Manifolds with Special
Holonomy | LateX file, 19 pages | JHEP 0203:015,2002 | 10.1088/1126-6708/2002/03/015 | null | hep-th | null | We construct a topological theory for euclidean gravity in four dimensions,
by enforcing self-duality conditions on the spin connection. The corresponding
topological symmetry is associated to the SU(2) X diffeomorphism X U(1)
invariance. The action of this theory is that of d=4, N=2 supergravity, up to a
twist. The topological field theory is SU(2) invariant, but the full SO(4)
invariance is recovered after untwist. This suggest that the topological
gravity is relevant for manifolds with special holonomy. The situation is
comparable to that of the topological Yang-Mills theory in eight dimensions,
for which the SO(8) invariance is broken down to Spin(7), but is recovered
after untwisting the topological theory.
| [
{
"created": "Tue, 15 Jan 2002 18:06:17 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Baulieu",
"Laurent",
"",
"LPTHE Paris 6-7"
],
[
"Tanzini",
"Alessandro",
"",
"LPTHE Paris 6-7"
]
] | We construct a topological theory for euclidean gravity in four dimensions, by enforcing self-duality conditions on the spin connection. The corresponding topological symmetry is associated to the SU(2) X diffeomorphism X U(1) invariance. The action of this theory is that of d=4, N=2 supergravity, up to a twist. The topological field theory is SU(2) invariant, but the full SO(4) invariance is recovered after untwist. This suggest that the topological gravity is relevant for manifolds with special holonomy. The situation is comparable to that of the topological Yang-Mills theory in eight dimensions, for which the SO(8) invariance is broken down to Spin(7), but is recovered after untwisting the topological theory. |
2310.15237 | Wolfgang Lerche | Wolfgang Lerche | Gromov-Witten/Hilbert versus AdS3/CFT2 Correspondence | 39 pages, 4 figures; v2: typos corrected, v3: references and minimal
clarifications added | null | null | CERN-TH-2023-098 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the boundary dual of AdS3xS3xK3 for NS5-flux Q5=1, which is
described by a sigma model with target space given by the d-fold symmetric
product of K3. Building on results in algebraic geometry, we address the
problem of deforming it away from the orbifold point from the viewpoint of
topological strings. We propose how the 't Hooft expansion can be geometrized
in terms of Gromov-Witten invariants and, in favorable settings, how it can be
summed up to all orders in closed form. We consider an explicit example in
detail for which we discuss the genus expansion around the orbifold point, as
well as the divergence in the strong coupling regime. We find that within the
domain of convergence, scale separation does not occur. However, in order for
the mathematical framework to be applicable in the first place, we need to
consider "reduced" Gromov-Witten invariants that fit, as we argue, naturally to
topologically twisted N=4 strings. There are some caveats and thus to what
extent this toy model captures the physics of strings on AdS3xS3xK3 remains to
be seen.
| [
{
"created": "Mon, 23 Oct 2023 18:00:20 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2023 09:54:34 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 2024 15:32:42 GMT",
"version": "v3"
}
] | 2024-06-27 | [
[
"Lerche",
"Wolfgang",
""
]
] | We consider the boundary dual of AdS3xS3xK3 for NS5-flux Q5=1, which is described by a sigma model with target space given by the d-fold symmetric product of K3. Building on results in algebraic geometry, we address the problem of deforming it away from the orbifold point from the viewpoint of topological strings. We propose how the 't Hooft expansion can be geometrized in terms of Gromov-Witten invariants and, in favorable settings, how it can be summed up to all orders in closed form. We consider an explicit example in detail for which we discuss the genus expansion around the orbifold point, as well as the divergence in the strong coupling regime. We find that within the domain of convergence, scale separation does not occur. However, in order for the mathematical framework to be applicable in the first place, we need to consider "reduced" Gromov-Witten invariants that fit, as we argue, naturally to topologically twisted N=4 strings. There are some caveats and thus to what extent this toy model captures the physics of strings on AdS3xS3xK3 remains to be seen. |
hep-th/9112040 | John Preskill | Martin Bucher, Kai-Ming Lee, and John Preskill | On Detecting Discrete Cheshire Charge | (17 pp) | Nucl.Phys. B386 (1992) 27-42 | 10.1016/0550-3213(92)90174-A | null | hep-th | null | We analyze the charges carried by loops of string in models with non-abelian
local discrete symmetry. The charge on a loop has no localized source, but can
be detected by means of the Aharonov--Bohm interaction of the loop with another
string. We describe the process of charge detection, and the transfer of charge
between point particles and string loops, in terms of gauge--invariant
correlation functions.
| [
{
"created": "Tue, 17 Dec 1991 01:57:18 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Bucher",
"Martin",
""
],
[
"Lee",
"Kai-Ming",
""
],
[
"Preskill",
"John",
""
]
] | We analyze the charges carried by loops of string in models with non-abelian local discrete symmetry. The charge on a loop has no localized source, but can be detected by means of the Aharonov--Bohm interaction of the loop with another string. We describe the process of charge detection, and the transfer of charge between point particles and string loops, in terms of gauge--invariant correlation functions. |
0704.0166 | I\~naki Garc\'ia-Etxebarria | Inaki Garcia-Etxebarria, Fouad Saad, Angel M. Uranga | Supersymmetry breaking metastable vacua in runaway quiver gauge theories | 26 pages + appendices, 25 figures. v2: Added some acknowledgments | JHEP 0705:047,2007 | 10.1088/1126-6708/2007/05/047 | IFT-UAM/CSIC-07-14, CERN-PH-TH/2007-063 | hep-th | null | In this paper we consider quiver gauge theories with fractional branes whose
infrared dynamics removes the classical supersymmetric vacua (DSB branes). We
show that addition of flavors to these theories (via additional non-compact
branes) leads to local meta-stable supersymmetry breaking minima, closely
related to those of SQCD with massive flavors. We simplify the study of the
one-loop lifting of the accidental classical flat directions by direct
computation of the pseudomoduli masses via Feynman diagrams. This new approach
allows to obtain analytic results for all these theories. This work extends the
results for the $dP_1$ theory in hep-th/0607218. The new approach allows to
generalize the computation to general examples of DSB branes, and for arbitrary
values of the superpotential couplings.
| [
{
"created": "Mon, 2 Apr 2007 13:30:06 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2007 15:23:35 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Garcia-Etxebarria",
"Inaki",
""
],
[
"Saad",
"Fouad",
""
],
[
"Uranga",
"Angel M.",
""
]
] | In this paper we consider quiver gauge theories with fractional branes whose infrared dynamics removes the classical supersymmetric vacua (DSB branes). We show that addition of flavors to these theories (via additional non-compact branes) leads to local meta-stable supersymmetry breaking minima, closely related to those of SQCD with massive flavors. We simplify the study of the one-loop lifting of the accidental classical flat directions by direct computation of the pseudomoduli masses via Feynman diagrams. This new approach allows to obtain analytic results for all these theories. This work extends the results for the $dP_1$ theory in hep-th/0607218. The new approach allows to generalize the computation to general examples of DSB branes, and for arbitrary values of the superpotential couplings. |
hep-th/9703152 | null | Alberto Accardi, Andrea Belli, Maurizio Martellini and Mauro Zeni | Cohomology and Renormalization of BFYM Theory in three Dimensions | 25 pages, Latex, uses Feynman.tex | Nucl.Phys.B505:540-566,1997 | 10.1016/S0550-3213(97)00498-7 | IFUM 557/FT | hep-th | null | The first order formalism for 3D Yang-Mills theory is considered and two
different formulations are introduced, in which the gauge theory appears to be
a deformation of the topological BF theory. We perform the quantization and the
algebraic analysis of cohomology and renormalization for both the models, which
are found to be anomaly free. We discuss also their stability against radiative
corrections, giving the full structure of possible counterterms, requiring an
involved matricial renormalization of fields and sources.
| [
{
"created": "Fri, 21 Mar 1997 15:06:29 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Accardi",
"Alberto",
""
],
[
"Belli",
"Andrea",
""
],
[
"Martellini",
"Maurizio",
""
],
[
"Zeni",
"Mauro",
""
]
] | The first order formalism for 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topological BF theory. We perform the quantization and the algebraic analysis of cohomology and renormalization for both the models, which are found to be anomaly free. We discuss also their stability against radiative corrections, giving the full structure of possible counterterms, requiring an involved matricial renormalization of fields and sources. |
hep-th/9607063 | Nicos Stefanis | N. G. Stefanis | Nonperturbative calculation of Green and vertex functions in terms of
particle contours | LaTeX, using Worldstyle and comprising three eps files (7 pages in
total). Invited talk presented at the International Conference Problems of
Quantum Field Theory, May 13 - 18, 1996, Alushta, Crimea, Ukraine. To appear
in the Proceedings | null | null | RUB-TPII-08-96 (July 1996) | hep-th hep-ph | null | The infrared regime of fermionic Green and vertex functions is studied
analytically within a geometric approach which simulates soft interactions by
an {\it effective} theory of contours. Expanding the particle path integral in
terms of dominant contours at large distances, all-order results in the
coupling constant are obtained for the renormalized fermion propagator and a
universal vertex function with physical characteristics close to those
associated with the Isgur-Wise function in the weak decays of heavy mesons. The
extension to the ultraviolet regime is scetched.
| [
{
"created": "Mon, 8 Jul 1996 14:40:13 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Stefanis",
"N. G.",
""
]
] | The infrared regime of fermionic Green and vertex functions is studied analytically within a geometric approach which simulates soft interactions by an {\it effective} theory of contours. Expanding the particle path integral in terms of dominant contours at large distances, all-order results in the coupling constant are obtained for the renormalized fermion propagator and a universal vertex function with physical characteristics close to those associated with the Isgur-Wise function in the weak decays of heavy mesons. The extension to the ultraviolet regime is scetched. |
2004.06991 | Shankhadeep Chakrabortty | Shankhadeep Chakrabortty, Sanjay Pant, Karunava Sil | Effect of back reaction on entanglement and subregion volume complexity
in strongly coupled plasma | 33 pages, 8 figures | JHEP 2006 (2020) 061 | 10.1007/JHEP06(2020)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The back reaction imparted by a uniform distribution of heavy static
fundamental quarks on large $N_c$ strongly coupled gauge theory can be
holographically realized as a deformation in $AdS$ blackhole background. The
presence of back reaction brings significant changes in to the entanglement
structure of the strongly coupled boundary theory at finite temperature. Since
the deformed blackhole geometry still remains asymptotically $AdS$, the
$gauge/gravity$ duality allows us to explore the entanglement structure of back
reacted plasma in a quantitative way by computing various measures, e.g
holographic entanglement entropy (HEE) and entanglement wedge cross section
(EWCS). We explicitly study the variation of those entanglement measures with
respect to the uniform density of heavy static fundamental quarks present in
the boundary theory. In particular, we notice enhancement of both HEE and EWCS
with respect to quark density. We also study the effect of back reaction on the
holographic subregion volume complexity. In this analysis we observe an
occurrence of logarithmic divergence proportional to the quark density
parameter.
| [
{
"created": "Wed, 15 Apr 2020 10:36:29 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 2020 16:05:44 GMT",
"version": "v2"
}
] | 2020-06-24 | [
[
"Chakrabortty",
"Shankhadeep",
""
],
[
"Pant",
"Sanjay",
""
],
[
"Sil",
"Karunava",
""
]
] | The back reaction imparted by a uniform distribution of heavy static fundamental quarks on large $N_c$ strongly coupled gauge theory can be holographically realized as a deformation in $AdS$ blackhole background. The presence of back reaction brings significant changes in to the entanglement structure of the strongly coupled boundary theory at finite temperature. Since the deformed blackhole geometry still remains asymptotically $AdS$, the $gauge/gravity$ duality allows us to explore the entanglement structure of back reacted plasma in a quantitative way by computing various measures, e.g holographic entanglement entropy (HEE) and entanglement wedge cross section (EWCS). We explicitly study the variation of those entanglement measures with respect to the uniform density of heavy static fundamental quarks present in the boundary theory. In particular, we notice enhancement of both HEE and EWCS with respect to quark density. We also study the effect of back reaction on the holographic subregion volume complexity. In this analysis we observe an occurrence of logarithmic divergence proportional to the quark density parameter. |
1012.1314 | Steven Gubser | Steven S. Gubser and Amos Yarom | Conformal hydrodynamics in Minkowski and de Sitter spacetimes | 60 pages, 10 figures | Nucl.Phys.B846:469-511,2011 | 10.1016/j.nuclphysb.2011.01.012 | PUPT-2358 | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to generate non-trivial solutions to the conformally invariant,
relativistic fluid dynamic equations by appealing to the Weyl covariance of the
stress tensor. We use this technique to show that a recently studied solution
of the relativistic conformally invariant Navier-Stokes equations in
four-dimensional Minkowski space can be recast as a static flow in
three-dimensional de Sitter space times a line. The simplicity of the de Sitter
form of the flow enables us to consider several generalizations of it,
including flows in other spacetime dimensions, second order viscous
corrections, and linearized perturbations. We also construct the anti-de Sitter
dual of the original four-dimensional flow. Finally, we discuss possible
applications to nuclear physics.
| [
{
"created": "Mon, 6 Dec 2010 21:00:00 GMT",
"version": "v1"
}
] | 2015-03-17 | [
[
"Gubser",
"Steven S.",
""
],
[
"Yarom",
"Amos",
""
]
] | We show how to generate non-trivial solutions to the conformally invariant, relativistic fluid dynamic equations by appealing to the Weyl covariance of the stress tensor. We use this technique to show that a recently studied solution of the relativistic conformally invariant Navier-Stokes equations in four-dimensional Minkowski space can be recast as a static flow in three-dimensional de Sitter space times a line. The simplicity of the de Sitter form of the flow enables us to consider several generalizations of it, including flows in other spacetime dimensions, second order viscous corrections, and linearized perturbations. We also construct the anti-de Sitter dual of the original four-dimensional flow. Finally, we discuss possible applications to nuclear physics. |
hep-th/0101102 | Yusuke Kimura | S.Iso, Y.Kimura, K.Tanaka, K. Wakatsuki | Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model | 31 pages, more investigations of the theory in the commutative limit
and references added | Nucl.Phys. B604 (2001) 121-147 | 10.1016/S0550-3213(01)00173-0 | KEK-TH-737, TIT/HEP-462 | hep-th | null | We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere
from a three dimensional matrix model by expanding the model around a classical
solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to
make the fuzzy sphere as a classical solution of the model. Majorana mass term
is also added to make it supersymmetric. We consider two large $N$ limits, one
corresponding to a gauge theory on a commutative sphere and the other to that
on a noncommutative plane. We also investigate stability of the fuzzy sphere by
calculating one-loop effective action around classical solutions. In the final
part of this paper, we consider another matrix model which gives a
supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only
Chern-Simons term is added and supersymmetry transformation is modified.
| [
{
"created": "Tue, 16 Jan 2001 08:23:39 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jan 2001 16:55:15 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Jan 2001 14:29:57 GMT",
"version": "v3"
},
{
"created": "Thu, 22 Mar 2001 11:12:36 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Iso",
"S.",
""
],
[
"Kimura",
"Y.",
""
],
[
"Tanaka",
"K.",
""
],
[
"Wakatsuki",
"K.",
""
]
] | We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere from a three dimensional matrix model by expanding the model around a classical solution of the fuzzy sphere. Chern-Simons term is added in the matrix model to make the fuzzy sphere as a classical solution of the model. Majorana mass term is also added to make it supersymmetric. We consider two large $N$ limits, one corresponding to a gauge theory on a commutative sphere and the other to that on a noncommutative plane. We also investigate stability of the fuzzy sphere by calculating one-loop effective action around classical solutions. In the final part of this paper, we consider another matrix model which gives a supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only Chern-Simons term is added and supersymmetry transformation is modified. |
hep-th/0111203 | Savvidy | G.Savvidy and R.Manvelyan | Weyl Invariant Gonihedric Strings | 9 pages, Latex, new references added | Phys.Lett. B533 (2002) 138-145 | 10.1016/S0370-2693(02)01557-5 | NRCPS-HE-01-26 | hep-th | null | We study quantum corrections in the earlier proposed string theory, which is
based on Weyl invariant purely extrinsic curvature action. At one-loop level it
remains Weyl invariant irrespective of the dimension D of the embedding
spacetime. To some extent the counterterms are reminiscent of the ones in pure
quantum gravity. At classical level the string tension is equal to zero and
quarks viewed as open ends of the surface are propagating freely without
interaction. We demonstrate that quantum fluctuations generate nonzero area
term (string tension).
| [
{
"created": "Thu, 22 Nov 2001 10:36:59 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Dec 2001 15:57:42 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Mar 2002 10:14:44 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Savvidy",
"G.",
""
],
[
"Manvelyan",
"R.",
""
]
] | We study quantum corrections in the earlier proposed string theory, which is based on Weyl invariant purely extrinsic curvature action. At one-loop level it remains Weyl invariant irrespective of the dimension D of the embedding spacetime. To some extent the counterterms are reminiscent of the ones in pure quantum gravity. At classical level the string tension is equal to zero and quarks viewed as open ends of the surface are propagating freely without interaction. We demonstrate that quantum fluctuations generate nonzero area term (string tension). |
2311.08714 | Xin Wang | Bao-ning Du, Min-xin Huang, Xin Wang | Schur indices for $\mathcal{N}=4$ super-Yang-Mills with more general
gauge groups | 30 pages | null | null | USTC-ICTS/PCFT-23-33, KIAS-Q23022 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the unflavored Schur indices in the $\mathcal{N}=4$ super-Yang-Mills
theory for the $B_n,C_n,D_n, G_2$ gauge groups. We explore two methods, namely
the character expansion method and the Fermi gas method, to efficiently compute
the $q$-series expansion of the Schur indices to some high orders. Using the
available data and the modular properties, we are able to fix the exact
formulas for the general gauge groups up to some high ranks and discover some
interesting new features. We also identify some empirical modular anomaly
equations, but unlike the case of $A_n$ groups, they are quite complicated and
not sufficiently useful to fix exact formulas for gauge groups of arbitrary
rank.
| [
{
"created": "Wed, 15 Nov 2023 05:42:17 GMT",
"version": "v1"
}
] | 2023-11-16 | [
[
"Du",
"Bao-ning",
""
],
[
"Huang",
"Min-xin",
""
],
[
"Wang",
"Xin",
""
]
] | We study the unflavored Schur indices in the $\mathcal{N}=4$ super-Yang-Mills theory for the $B_n,C_n,D_n, G_2$ gauge groups. We explore two methods, namely the character expansion method and the Fermi gas method, to efficiently compute the $q$-series expansion of the Schur indices to some high orders. Using the available data and the modular properties, we are able to fix the exact formulas for the general gauge groups up to some high ranks and discover some interesting new features. We also identify some empirical modular anomaly equations, but unlike the case of $A_n$ groups, they are quite complicated and not sufficiently useful to fix exact formulas for gauge groups of arbitrary rank. |
hep-th/0212226 | Andrei Ivanov | M. Faber, A. N. Ivanov | On the ground state of a free massless (pseudo)scalar field in two
dimensions | 20 pages, Latex, no figures | null | null | null | hep-th | null | We investigate the ground state of a free massless (pseudo)scalar field in
1+1-dimensional space-time. We argue that in the quantum field theory of a free
massless (pseudo)scalar field without infrared divergences (Eur. Phys. J. C24,
653 (2002)) the ground state can be represented by a tensor product of wave
functions of the fiducial vacuum and of the collective zero-mode, describing
the motion of the ``center of mass'' of a free massless (pseudo)scalar field.
We show that the bosonized version of the BCS wave function of the ground state
of the massless Thirring model obtained in (Phys.Lett. B563, 231 (2003))
describes the ground state of the free massless (pseudo)scalar field.
| [
{
"created": "Wed, 18 Dec 2002 22:07:01 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jun 2003 09:08:29 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Faber",
"M.",
""
],
[
"Ivanov",
"A. N.",
""
]
] | We investigate the ground state of a free massless (pseudo)scalar field in 1+1-dimensional space-time. We argue that in the quantum field theory of a free massless (pseudo)scalar field without infrared divergences (Eur. Phys. J. C24, 653 (2002)) the ground state can be represented by a tensor product of wave functions of the fiducial vacuum and of the collective zero-mode, describing the motion of the ``center of mass'' of a free massless (pseudo)scalar field. We show that the bosonized version of the BCS wave function of the ground state of the massless Thirring model obtained in (Phys.Lett. B563, 231 (2003)) describes the ground state of the free massless (pseudo)scalar field. |
2106.11002 | Arash Arabi Ardehali | Arash Arabi Ardehali, Jiaqi Jiang, Wenli Zhao | Central charges, elliptic genera, and Bekenstein-Hawking entropy in
$\mathcal{N}=(2,2)$ AdS$_3$/CFT$_2$ | 34 pages. v3: minor improvements | JHEP02 (2022) 188 | 10.1007/JHEP02(2022)188 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $\mathcal{N}=(2,2)$ AdS$_3$/CFT$_2$ dualities proposed in the
large central charge limit ($c\to\infty$) by Eberhardt. Here we propose the
associated D1-D5 systems to be orbifolds of the standard $\mathcal{N}=(4,4)$
systems, thereby elevating the dualities to the finite-$c$ level on the
boundary and to the quantum level in the bulk. In particular, we show that our
brane systems yield low-energy sigma models whose subleading central charges
match earlier predictions from bulk one-loop supergravity computations. In the
case involving the Enriques surface, the finite-$c$ sigma model has a
non-trivial elliptic genus which we use to microscopically explain both the
Bekenstein-Hawking entropy and the subleading logarithmic correction to it for
the associated macroscopic black brane.
| [
{
"created": "Mon, 21 Jun 2021 11:43:24 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2021 04:26:19 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Mar 2022 23:00:41 GMT",
"version": "v3"
}
] | 2022-03-10 | [
[
"Ardehali",
"Arash Arabi",
""
],
[
"Jiang",
"Jiaqi",
""
],
[
"Zhao",
"Wenli",
""
]
] | We consider $\mathcal{N}=(2,2)$ AdS$_3$/CFT$_2$ dualities proposed in the large central charge limit ($c\to\infty$) by Eberhardt. Here we propose the associated D1-D5 systems to be orbifolds of the standard $\mathcal{N}=(4,4)$ systems, thereby elevating the dualities to the finite-$c$ level on the boundary and to the quantum level in the bulk. In particular, we show that our brane systems yield low-energy sigma models whose subleading central charges match earlier predictions from bulk one-loop supergravity computations. In the case involving the Enriques surface, the finite-$c$ sigma model has a non-trivial elliptic genus which we use to microscopically explain both the Bekenstein-Hawking entropy and the subleading logarithmic correction to it for the associated macroscopic black brane. |
0705.3112 | Marlene Weiss | Marlene Weiss | Topological Amplitudes in Heterotic Strings with Wilson Lines | 34 pages, 8 figures; typos corrected, references added | JHEP 0708:024,2007 | 10.1088/1126-6708/2007/08/024 | CERN-PH-TH/2007-084 | hep-th | null | We consider d=4, N=2 compactifications of heterotic strings with an arbitrary
number of Wilson lines. In particular, we focus on known chains of candidate
heterotic/type II duals. We give closed expressions for the topological
amplitudes F^g in terms of automorphic forms of SO(2+k,2,Z), and find agreement
with the geometric data of the dual K3 fibrations wherever those are known.
| [
{
"created": "Tue, 22 May 2007 09:29:47 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Jun 2007 11:40:56 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Weiss",
"Marlene",
""
]
] | We consider d=4, N=2 compactifications of heterotic strings with an arbitrary number of Wilson lines. In particular, we focus on known chains of candidate heterotic/type II duals. We give closed expressions for the topological amplitudes F^g in terms of automorphic forms of SO(2+k,2,Z), and find agreement with the geometric data of the dual K3 fibrations wherever those are known. |
hep-th/9603049 | Arne Lykke Larsen | A.L. Larsen and N. Sanchez | Sinh-Gordon, Cosh-Gordon and Liouville Equations for Strings and
Multi-Strings in Constant Curvature Spacetimes | Latex, 19 pages + 1 figure (not included) | Phys.Rev. D54 (1996) 2801-2807 | 10.1103/PhysRevD.54.2801 | Alberta Thy 08-96 | hep-th gr-qc hep-ph | null | We find that the fundamental quadratic form of classical string propagation
in $2+1$ dimensional constant curvature spacetimes solves the Sinh-Gordon
equation, the Cosh-Gordon equation or the Liouville equation. We show that in
both de Sitter and anti de Sitter spacetimes (as well as in the $2+1$ black
hole anti de Sitter spacetime), {\it all} three equations must be included to
cover the generic string dynamics. The generic properties of the string
dynamics are directly extracted from the properties of these three equations
and their associated potentials (irrespective of any solution). These results
complete and generalize earlier discussions on this topic (until now, only the
Sinh-Gordon sector in de Sitter spacetime was known). We also construct new
classes of multi-string solutions, in terms of elliptic functions, to all three
equations in both de Sitter and anti de Sitter spacetimes. Our results can be
straightforwardly generalized to constant curvature spacetimes of arbitrary
dimension, by replacing the Sinh-Gordon equation, the Cosh-Gordon equation and
the Liouville equation by higher dimensional generalizations.
| [
{
"created": "Fri, 8 Mar 1996 16:51:09 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Larsen",
"A. L.",
""
],
[
"Sanchez",
"N.",
""
]
] | We find that the fundamental quadratic form of classical string propagation in $2+1$ dimensional constant curvature spacetimes solves the Sinh-Gordon equation, the Cosh-Gordon equation or the Liouville equation. We show that in both de Sitter and anti de Sitter spacetimes (as well as in the $2+1$ black hole anti de Sitter spacetime), {\it all} three equations must be included to cover the generic string dynamics. The generic properties of the string dynamics are directly extracted from the properties of these three equations and their associated potentials (irrespective of any solution). These results complete and generalize earlier discussions on this topic (until now, only the Sinh-Gordon sector in de Sitter spacetime was known). We also construct new classes of multi-string solutions, in terms of elliptic functions, to all three equations in both de Sitter and anti de Sitter spacetimes. Our results can be straightforwardly generalized to constant curvature spacetimes of arbitrary dimension, by replacing the Sinh-Gordon equation, the Cosh-Gordon equation and the Liouville equation by higher dimensional generalizations. |
1107.2370 | Alexander Migdal | Alexander Migdal | Integral Equation for CFT/String Duality | 2 figures, talk at Carg\`ese PhyMSI conference, July 2011, added
comments and acknowledgments, corrected typos | null | null | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reinterpret and extend some old work on CFT/string duality. We consider
some asymptotically conformal field theory in large N limit, with conformal
symmetry broken by VEV's of infinite number of operators. Assuming that this
theory confines (i.e. is dual to infinite number of free composite particles)
we derive explicit equation for the mass spectrum operator Q of the theory,
relating this operator to terms OPE expansion of CFT. Under some general
assumptions about growth of OPE coefficients (less than double factorial
growth) the resulting expansion for the mass spectrum is convergent. This
method applies to confining CFT of ADS family as well as any asymptotically CFT
with confinement. This includes the ordinary QCD. In the latter case the first
terms of our perturbation expansion have good correspondence with experimental
Regge trajectories at low angular momentum.
| [
{
"created": "Tue, 12 Jul 2011 18:53:13 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jul 2011 02:16:54 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Jul 2011 12:59:28 GMT",
"version": "v3"
}
] | 2011-07-26 | [
[
"Migdal",
"Alexander",
""
]
] | We reinterpret and extend some old work on CFT/string duality. We consider some asymptotically conformal field theory in large N limit, with conformal symmetry broken by VEV's of infinite number of operators. Assuming that this theory confines (i.e. is dual to infinite number of free composite particles) we derive explicit equation for the mass spectrum operator Q of the theory, relating this operator to terms OPE expansion of CFT. Under some general assumptions about growth of OPE coefficients (less than double factorial growth) the resulting expansion for the mass spectrum is convergent. This method applies to confining CFT of ADS family as well as any asymptotically CFT with confinement. This includes the ordinary QCD. In the latter case the first terms of our perturbation expansion have good correspondence with experimental Regge trajectories at low angular momentum. |
2006.03574 | Leron Borsten | L. Borsten, M.J. Duff and A. Marrani | Black Holes and Higher Composition Laws | 25 pages. References and further note added. Minor typos corrected | null | null | Imperial-TP-2020-MJD-02 | hep-th gr-qc math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe various relations between Bhargava's higher composition laws,
which generalise Gauss's original composition law on integral binary quadratic
forms, and extremal black hole solutions appearing in string/M-theory and
related models. The cornerstone of these correspondences is the identification
of the charge cube of the STU black hole with Bhargava's cube of integers,
which underpins the related higher composition laws.
| [
{
"created": "Fri, 5 Jun 2020 17:39:51 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2020 15:34:42 GMT",
"version": "v2"
}
] | 2020-08-19 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
],
[
"Marrani",
"A.",
""
]
] | We describe various relations between Bhargava's higher composition laws, which generalise Gauss's original composition law on integral binary quadratic forms, and extremal black hole solutions appearing in string/M-theory and related models. The cornerstone of these correspondences is the identification of the charge cube of the STU black hole with Bhargava's cube of integers, which underpins the related higher composition laws. |
hep-th/9703200 | Marcelo Gomes | H. O. Girotti, M. Gomes, J. R. Nascimento and A. J. da Silva | The Low Energy Limit of the Chern-Simons Theory Coupled to Fermions | 18 pages, 8 figures, Latex | Phys.Rev. D56 (1997) 3623-3630 | 10.1103/PhysRevD.56.3623 | IFUSP/P-1261 | hep-th | null | We study the nonrelativistic limit of the theory of a quantum Chern--Simons
field minimally coupled to Dirac fermions. To get the nonrelativistic effective
Lagrangian one has to incorporate vacuum polarization and anomalous magnetic
moment effects. Besides that, an unsuspected quartic fermionic interaction may
also be induced. As a by product, the method we use to calculate loop diagrams,
separating low and high loop momenta contributions, allows to identify how a
quantum nonrelativistic theory nests in a relativistic one.
| [
{
"created": "Thu, 27 Mar 1997 18:43:04 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Girotti",
"H. O.",
""
],
[
"Gomes",
"M.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"da Silva",
"A. J.",
""
]
] | We study the nonrelativistic limit of the theory of a quantum Chern--Simons field minimally coupled to Dirac fermions. To get the nonrelativistic effective Lagrangian one has to incorporate vacuum polarization and anomalous magnetic moment effects. Besides that, an unsuspected quartic fermionic interaction may also be induced. As a by product, the method we use to calculate loop diagrams, separating low and high loop momenta contributions, allows to identify how a quantum nonrelativistic theory nests in a relativistic one. |
1805.07393 | Sandipan Kundu | Nima Afkhami-Jeddi, Sandipan Kundu, Amirhossein Tajdini | A Conformal Collider for Holographic CFTs | 52+15 pages, 5 figures | null | 10.1007/JHEP10(2018)156 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a formalism to study the implications of causality on OPE
coefficients in conformal field theories with large central charge and a sparse
spectrum of higher spin operators. The formalism has the interpretation of a
new conformal collider-type experiment for these class of CFTs and hence it has
the advantage of requiring knowledge only about CFT three-point functions. This
is accomplished by considering the holographic null energy operator which was
introduced in arXiv:1709.03597 as a generalization of the averaged null energy
operator. Analyticity properties of correlators in the Regge limit imply that
the holographic null energy operator is a positive operator in a subspace of
the total CFT Hilbert space. Utilizing this positivity condition, we derive
bounds on three-point functions $\langle TO_1O_2\rangle$ of the stress tensor
with various operators for CFTs with large central charge and a sparse
spectrum. After imposing these constraints, we also find that the operator
product expansions of all primary operators in the Regge limit have certain
universal properties. All of these results are consistent with the expectation
that CFTs in this class, irrespective of their microscopic details, admit
universal gravity-like holographic dual descriptions. Furthermore, this
connection enables us to constrain various inflationary observables such as the
amplitude of chiral gravity waves, non-gaussanity of gravity waves and
tensor-to-scalar ratio.
| [
{
"created": "Fri, 18 May 2018 18:52:34 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Dec 2018 07:21:34 GMT",
"version": "v2"
}
] | 2018-12-17 | [
[
"Afkhami-Jeddi",
"Nima",
""
],
[
"Kundu",
"Sandipan",
""
],
[
"Tajdini",
"Amirhossein",
""
]
] | We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal collider-type experiment for these class of CFTs and hence it has the advantage of requiring knowledge only about CFT three-point functions. This is accomplished by considering the holographic null energy operator which was introduced in arXiv:1709.03597 as a generalization of the averaged null energy operator. Analyticity properties of correlators in the Regge limit imply that the holographic null energy operator is a positive operator in a subspace of the total CFT Hilbert space. Utilizing this positivity condition, we derive bounds on three-point functions $\langle TO_1O_2\rangle$ of the stress tensor with various operators for CFTs with large central charge and a sparse spectrum. After imposing these constraints, we also find that the operator product expansions of all primary operators in the Regge limit have certain universal properties. All of these results are consistent with the expectation that CFTs in this class, irrespective of their microscopic details, admit universal gravity-like holographic dual descriptions. Furthermore, this connection enables us to constrain various inflationary observables such as the amplitude of chiral gravity waves, non-gaussanity of gravity waves and tensor-to-scalar ratio. |
hep-th/9904060 | Boguslaw Broda | Malgorzata Bakalarska and Boguslaw Broda | 3-dimensional low-energy topological invariants | 4 pages, 0 figures, 32nd International Symposium Ahrenshoop on the
Theory of Elementary Particles, Buckow, September 1-5, 1998 | Fortsch.Phys.48:5-8,2000 | 10.1002/(SICI)1521-3978(20001)48:1/3<5::AID-PROP5>3.0.CO;2-N | null | hep-th | null | A description of the one-loop approximation formula for the partition
function of a three-dimensional abelian version of the Donaldson-Witten theory
is proposed. The one-loop expression is shown to contain such topological
invariants of a three-dimensional manifold M like the Reidemeister-Ray-Singer
torsion and Betti numbers.
| [
{
"created": "Thu, 8 Apr 1999 13:27:08 GMT",
"version": "v1"
}
] | 2017-04-26 | [
[
"Bakalarska",
"Malgorzata",
""
],
[
"Broda",
"Boguslaw",
""
]
] | A description of the one-loop approximation formula for the partition function of a three-dimensional abelian version of the Donaldson-Witten theory is proposed. The one-loop expression is shown to contain such topological invariants of a three-dimensional manifold M like the Reidemeister-Ray-Singer torsion and Betti numbers. |
1102.4991 | Alberto Iglesias | Alberto Iglesias and Zurab Kakushadze | Non-perturbative Unitarity of Gravitational Higgs Mechanism | 15 pages, Phys. Rev. D version | Phys.Rev.D84 (2011) 084005 | 10.1103/PhysRevD.84.084005 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss massive gravity in Minkowski space via gravitational
Higgs mechanism, which provides a non-perturbative definition thereof. Using
this non-perturbative definition, we address the issue of unitarity by studying
the full nonlinear Hamiltonian for the relevant metric degrees of freedom.
While perturbatively unitarity is not evident, we argue that no negative norm
state is present in the full nonlinear theory.
| [
{
"created": "Thu, 24 Feb 2011 13:54:22 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Mar 2011 23:19:21 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Sep 2011 23:27:08 GMT",
"version": "v3"
}
] | 2011-10-12 | [
[
"Iglesias",
"Alberto",
""
],
[
"Kakushadze",
"Zurab",
""
]
] | In this paper we discuss massive gravity in Minkowski space via gravitational Higgs mechanism, which provides a non-perturbative definition thereof. Using this non-perturbative definition, we address the issue of unitarity by studying the full nonlinear Hamiltonian for the relevant metric degrees of freedom. While perturbatively unitarity is not evident, we argue that no negative norm state is present in the full nonlinear theory. |
0904.3689 | Sandor Nagy | S. Nagy, I. Nandori, J. Polonyi, K. Sailer | Functional renormalization group approach to the sine-Gordon model | 4 pages, 3 figures | Phys.Rev.Lett.102:241603,2009 | 10.1103/PhysRevLett.102.241603 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The renormalization group flow is presented for the two-dimensional
sine-Gordon model within the framework of the functional renormalization group
method by including the wave-function renormalization constant. The
Kosterlitz-Thouless-Berezinski type phase structure is recovered as the
interpolating scaling law between two competing IR attractive area of the
global renormalization group flow.
| [
{
"created": "Thu, 23 Apr 2009 13:26:05 GMT",
"version": "v1"
}
] | 2010-04-14 | [
[
"Nagy",
"S.",
""
],
[
"Nandori",
"I.",
""
],
[
"Polonyi",
"J.",
""
],
[
"Sailer",
"K.",
""
]
] | The renormalization group flow is presented for the two-dimensional sine-Gordon model within the framework of the functional renormalization group method by including the wave-function renormalization constant. The Kosterlitz-Thouless-Berezinski type phase structure is recovered as the interpolating scaling law between two competing IR attractive area of the global renormalization group flow. |
1311.3671 | Wissam Chemissany | John Joseph M. Carrasco, Wissam Chemissany, and Renata Kallosh | Journeys Through Antigravity? | 13 pages, note, references and acknowledgements added to match JHEP
journal version | null | 10.1007/JHEP01(2014)130 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A possibility of journeys through antigravity has recently been proposed,
with the suggestion that Weyl-invariant extension of scalars coupled to
Einstein gravity allows for an unambiguous classical evolution through
cosmological singularities in anisotropic spacetimes. We compute the Weyl
invariant curvature squared and find that it blows up for the proposed
anisotropic solution both at the Big Crunch as well as at the Big Bang.
Therefore the cosmological singularities are not resolved by uplifting Einstein
theory to a Weyl invariant model.
| [
{
"created": "Thu, 14 Nov 2013 21:05:22 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2014 01:37:04 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Carrasco",
"John Joseph M.",
""
],
[
"Chemissany",
"Wissam",
""
],
[
"Kallosh",
"Renata",
""
]
] | A possibility of journeys through antigravity has recently been proposed, with the suggestion that Weyl-invariant extension of scalars coupled to Einstein gravity allows for an unambiguous classical evolution through cosmological singularities in anisotropic spacetimes. We compute the Weyl invariant curvature squared and find that it blows up for the proposed anisotropic solution both at the Big Crunch as well as at the Big Bang. Therefore the cosmological singularities are not resolved by uplifting Einstein theory to a Weyl invariant model. |
hep-th/0507033 | Ralf Hofmann | Ralf Hofmann | Yang-Mills thermodynamics: The deconfining phase | 10 pages, 2 figures, v2: consequences of a modification of the
evolution equation for the effective coupling implemented | null | null | null | hep-th | null | We summarize recent nonperturbative results obtained for the thermodynamics
of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric)
phase. Emphasis is put on an explanation of the concepts involved. The
presentation of technical details is avoided.
| [
{
"created": "Mon, 4 Jul 2005 14:54:42 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 2006 10:10:28 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Hofmann",
"Ralf",
""
]
] | We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation of technical details is avoided. |
2210.06421 | Carlos Desa | Carlos Desa, Weyner Ccuiro and David Choque | Exact hairy black holes asymptotically $AdS_{2+1}$ | null | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a family of $AdS_{2+1}$ asymptotically hairy black holes, within
the context of Einstein's minimally coupled scalar field theory. We study the
boundary conditions and construct the thermal superpotential. In the Euclidean
section, we calculate the free energy and in the Lorentzian section, the
Brown-York tensor, both regularized by two methods. Finally, we calculate the
relevant thermodynamic quantities and analyze the different phases.
| [
{
"created": "Wed, 12 Oct 2022 17:15:31 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2022 01:10:59 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Dec 2022 23:02:20 GMT",
"version": "v3"
},
{
"created": "Thu, 29 Dec 2022 20:48:10 GMT",
"version": "v4"
}
] | 2023-01-02 | [
[
"Desa",
"Carlos",
""
],
[
"Ccuiro",
"Weyner",
""
],
[
"Choque",
"David",
""
]
] | We present a family of $AdS_{2+1}$ asymptotically hairy black holes, within the context of Einstein's minimally coupled scalar field theory. We study the boundary conditions and construct the thermal superpotential. In the Euclidean section, we calculate the free energy and in the Lorentzian section, the Brown-York tensor, both regularized by two methods. Finally, we calculate the relevant thermodynamic quantities and analyze the different phases. |
2301.01999 | Rinto Kuramochi | Yuta Hamada, Rinto Kuramochi, Gregory J. Loges, Sota Nakajima | On (Scalar QED) Gravitational Positivity Bounds | 27 pages, 5 figures, matches version published in JHEP | JHEP 05 (2023) 076 | 10.1007/JHEP05(2023)076 | KEK-TH-2492 | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study positivity bounds in the presence of gravity. We first review the
gravitational positivity bound at the tree-level, where it is known that a
certain amount of negativity is allowed for the coefficients of
higher-derivative operators. The size of these potentially negative
contributions is estimated for several tree-level, Reggeized gravitational
amplitudes which are unitary at high energies and feature the t-channel pole
characteristic of graviton exchange. We also argue for the form of the one-loop
Regge amplitude assuming that the branch cut structure associated with the
exchange of the graviton and higher-spin particles is reflected. We demonstrate
how the one-loop Regge amplitude appears by summing over Feynman diagrams. For
our one-loop amplitude proposal, the positivity bounds generically receive a
finite contribution from the Regge tower and do not lead to a parametrically
small bound on the cut-off scale of the low-energy EFT, consistent with recent
studies based on sum rules of the amplitude.
| [
{
"created": "Thu, 5 Jan 2023 10:38:20 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jan 2023 07:18:10 GMT",
"version": "v2"
},
{
"created": "Thu, 11 May 2023 11:03:42 GMT",
"version": "v3"
}
] | 2023-05-12 | [
[
"Hamada",
"Yuta",
""
],
[
"Kuramochi",
"Rinto",
""
],
[
"Loges",
"Gregory J.",
""
],
[
"Nakajima",
"Sota",
""
]
] | We study positivity bounds in the presence of gravity. We first review the gravitational positivity bound at the tree-level, where it is known that a certain amount of negativity is allowed for the coefficients of higher-derivative operators. The size of these potentially negative contributions is estimated for several tree-level, Reggeized gravitational amplitudes which are unitary at high energies and feature the t-channel pole characteristic of graviton exchange. We also argue for the form of the one-loop Regge amplitude assuming that the branch cut structure associated with the exchange of the graviton and higher-spin particles is reflected. We demonstrate how the one-loop Regge amplitude appears by summing over Feynman diagrams. For our one-loop amplitude proposal, the positivity bounds generically receive a finite contribution from the Regge tower and do not lead to a parametrically small bound on the cut-off scale of the low-energy EFT, consistent with recent studies based on sum rules of the amplitude. |
hep-th/0002246 | Harald Skarke | Harald Skarke | Reflexive Polyhedra and their Applications in String and F-theory | Contribution to the proceedings of the TMR meeting "Quantum Aspects
of Gauge Theories, Supersymmetry and Unification" held in Paris in September
1999; 8 pages | null | null | HUB-EP-00/14 | hep-th | null | This is an informal introduction to the concept of reflexive polyhedra and
some of their most important applications in perturbative and non-perturbative
string physics. Following the historical development, topics like mirror
symmetry, gauged linear sigma models, and the geometrical structures relevant
to string and F-theory dualities are discussed. Finally some recent
developments concerning the classification of reflexive polyhedra are
mentioned.
| [
{
"created": "Tue, 29 Feb 2000 03:27:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Skarke",
"Harald",
""
]
] | This is an informal introduction to the concept of reflexive polyhedra and some of their most important applications in perturbative and non-perturbative string physics. Following the historical development, topics like mirror symmetry, gauged linear sigma models, and the geometrical structures relevant to string and F-theory dualities are discussed. Finally some recent developments concerning the classification of reflexive polyhedra are mentioned. |
2101.10507 | Camilo Las Heras | C. Las Heras and M.P. Garcia del Moral | Relation between non trivial M2-branes and D2-branes with fluxes | 6 pages. To be considered for publication in the Proc. of the XXII
Chilean Physics Symposium 2020, Journal of Physics Conference Series IOP | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show the relation between three non trivial sectors of M2-brane theory
formulated in the LCG connected among them by canonical transformations. These
sectors correspond to the supermembrane theory formulated on a $M_9\times T^2$
on three different constant three-form backgrounds: M2-brane with constant
$C_{-}$, M2-brane with constant $C_{\pm}$ and M2-brane with a generic constant
$C_3$ denoted as CM2-brane. The first two exhibit a purely discrete
supersymmetric spectrum once the central charge condition, or equivalently, the
corresponding flux condition has been turned on. The CM2-brane is conjectured
to share this spectral property once that fluxes $C_{\pm}$ are turned on. As
shown in [1] they are duals to three inequivalent sectors of the D2-branes with
specific worldvolume and background RR and NSNS quantization conditions on each
case.
| [
{
"created": "Tue, 26 Jan 2021 01:12:23 GMT",
"version": "v1"
}
] | 2021-01-27 | [
[
"Heras",
"C. Las",
""
],
[
"del Moral",
"M. P. Garcia",
""
]
] | We show the relation between three non trivial sectors of M2-brane theory formulated in the LCG connected among them by canonical transformations. These sectors correspond to the supermembrane theory formulated on a $M_9\times T^2$ on three different constant three-form backgrounds: M2-brane with constant $C_{-}$, M2-brane with constant $C_{\pm}$ and M2-brane with a generic constant $C_3$ denoted as CM2-brane. The first two exhibit a purely discrete supersymmetric spectrum once the central charge condition, or equivalently, the corresponding flux condition has been turned on. The CM2-brane is conjectured to share this spectral property once that fluxes $C_{\pm}$ are turned on. As shown in [1] they are duals to three inequivalent sectors of the D2-branes with specific worldvolume and background RR and NSNS quantization conditions on each case. |
1503.07308 | Adil Belhaj Rogani | A. Belhaj, M. Chabab, H. EL Moumni, K. Masmar, M. B. Sedra, A. Segui | On Heat Properties of AdS Black Holes in Higher Dimensions | 15 pages, 16 figures. latex. Minor modifications, version has been
accepted in JHEP, 2015 | JHEP05(2015)149 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the heat properties of AdS Black Holes in higher dimensions.
We consider the study of the corresponding thermodynamical properties including
the heat capacity explored in the determination of the black hole stability. In
particular, we compute the heat latent. To overcome the instability problem,
the Maxwell construction, in the (T,S)-plane, is elaborated. This method is
used to modify the the Hawking-Page phase structure by removing the negative
heat capacity regions. Then, we discuss the thermodynamic cycle and the heat
engines using the way based on the extraction of the work from a black hole
solution.
| [
{
"created": "Wed, 25 Mar 2015 09:02:07 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2015 11:47:42 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2015 13:19:37 GMT",
"version": "v3"
}
] | 2015-07-02 | [
[
"Belhaj",
"A.",
""
],
[
"Chabab",
"M.",
""
],
[
"Moumni",
"H. EL",
""
],
[
"Masmar",
"K.",
""
],
[
"Sedra",
"M. B.",
""
],
[
"Segui",
"A.",
""
]
] | We investigate the heat properties of AdS Black Holes in higher dimensions. We consider the study of the corresponding thermodynamical properties including the heat capacity explored in the determination of the black hole stability. In particular, we compute the heat latent. To overcome the instability problem, the Maxwell construction, in the (T,S)-plane, is elaborated. This method is used to modify the the Hawking-Page phase structure by removing the negative heat capacity regions. Then, we discuss the thermodynamic cycle and the heat engines using the way based on the extraction of the work from a black hole solution. |
1008.1070 | Ricardo Monteiro | Miguel S. Costa, Ricardo Monteiro, Jorge E. Santos, Dimitrios Zoakos | On three-point correlation functions in the gauge/gravity duality | 31 pages, 1 figure | JHEP 1011:141,2010 | 10.1007/JHEP11(2010)141 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of marginal and irrelevant deformations on the
renormalization of operators near a CFT fixed point. New divergences in a given
operator are determined by its OPE with the operator D that generates the
deformation. This provides a scheme to compute the couplings a_DAB between the
operator D and two arbitrary operators O_A and O_B. We exemplify for the case
of N=4 SYM, considering the simplest case of the exact Lagrangian deformation.
In this case the deformed anomalous dimension matrix is determined by the
derivative of the anomalous dimension matrix with respect to the coupling. We
use integrability techniques to compute the one-loop couplings a_LAB between
the Lagrangian and two distinct large operators built with Magnons, in the
SU(2) sector of the theory. Then we consider a_DAA at strong coupling, and show
how to compute it using the gauge/gravity duality, when D is a chiral operator
dual to any supergravity field and O_A is dual to a heavy string state. We
exemplify for the Lagrangian and operators O_A dual to heavy string states,
showing agreement with the prediction derived from the renormalization group
arguments.
| [
{
"created": "Thu, 5 Aug 2010 20:06:26 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 2010 13:37:53 GMT",
"version": "v2"
}
] | 2010-12-06 | [
[
"Costa",
"Miguel S.",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Santos",
"Jorge E.",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We study the effect of marginal and irrelevant deformations on the renormalization of operators near a CFT fixed point. New divergences in a given operator are determined by its OPE with the operator D that generates the deformation. This provides a scheme to compute the couplings a_DAB between the operator D and two arbitrary operators O_A and O_B. We exemplify for the case of N=4 SYM, considering the simplest case of the exact Lagrangian deformation. In this case the deformed anomalous dimension matrix is determined by the derivative of the anomalous dimension matrix with respect to the coupling. We use integrability techniques to compute the one-loop couplings a_LAB between the Lagrangian and two distinct large operators built with Magnons, in the SU(2) sector of the theory. Then we consider a_DAA at strong coupling, and show how to compute it using the gauge/gravity duality, when D is a chiral operator dual to any supergravity field and O_A is dual to a heavy string state. We exemplify for the Lagrangian and operators O_A dual to heavy string states, showing agreement with the prediction derived from the renormalization group arguments. |
2009.13246 | George E. A. Matsas Professor | Gabriel Cozzella, Stephen A. Fulling, Andr\'e G. S. Landulfo, and
George E. A. Matsas | Uniformly accelerated classical sources as limits of Unruh-DeWitt
detectors | 10 pages, 2 figures | Phys. Rev. D 102, 105016 (2020) | 10.1103/PhysRevD.102.105016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Although the thermal and radiative effects associated with a two-level
quantum system undergoing acceleration are now widely understood and accepted,
a surprising amount of controversy still surrounds the simpler and older
problem of an accelerated classical charge. We argue that the analogy between
these systems is more than superficial: There is a sense in which a "UD
detector" in a quantized scalar field effectively acts as a classical source
for that field if the splitting of its energy levels is so small as to be
ignored. After showing explicitly that a detector with unresolved inner
structure does behave as a structureless scalar source, we use that analysis to
rederive the scalar version of a previous analysis of the accelerated
electromagnetic charge, without appealing to the troublesome concept of
"zero-energy particles." Then we recover these results when the detector energy
gap is taken to be zero from the beginning. This vindicates the informal
terminology "zero-frequency Rindler modes" as a shorthand for "Rindler modes
with arbitrarily small energy." In an appendix, the mathematical behavior of
the normal modes in the limit of small frequency is examined in more detail
than before. The vexed (and somewhat ambiguous) question of whether
coaccelerating observers detect the acceleration radiation can then be studied
on a sound basis.
| [
{
"created": "Mon, 28 Sep 2020 12:20:53 GMT",
"version": "v1"
}
] | 2020-11-25 | [
[
"Cozzella",
"Gabriel",
""
],
[
"Fulling",
"Stephen A.",
""
],
[
"Landulfo",
"André G. S.",
""
],
[
"Matsas",
"George E. A.",
""
]
] | Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial: There is a sense in which a "UD detector" in a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of "zero-energy particles." Then we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology "zero-frequency Rindler modes" as a shorthand for "Rindler modes with arbitrarily small energy." In an appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis. |
1806.01356 | Noppadol Mekareeya | Antonio Amariti, Ivan Garozzo, Noppadol Mekareeya | New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles | 54 pages, references added. Accepted for publication in the JHEP | null | 10.1007/JHEP11(2018)135 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Aspects of three dimensional $\mathcal{N}=2$ gauge theories with monopole
superpotentials and their dualities are investigated. The moduli spaces of a
number of such theories are studied using Hilbert series. Moreover, we propose
new dualities involving quadratic powers for the monopole superpotentials, for
unitary, symplectic and orthogonal gauge groups. These dualities are then
tested using the three sphere partition function and matching of the Hilbert
series. We also provide an argument for the obstruction to the duality for
theories with quartic monopole superpotentials.
| [
{
"created": "Mon, 4 Jun 2018 20:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 15:55:00 GMT",
"version": "v2"
},
{
"created": "Sun, 30 Dec 2018 20:04:01 GMT",
"version": "v3"
}
] | 2019-01-01 | [
[
"Amariti",
"Antonio",
""
],
[
"Garozzo",
"Ivan",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] | Aspects of three dimensional $\mathcal{N}=2$ gauge theories with monopole superpotentials and their dualities are investigated. The moduli spaces of a number of such theories are studied using Hilbert series. Moreover, we propose new dualities involving quadratic powers for the monopole superpotentials, for unitary, symplectic and orthogonal gauge groups. These dualities are then tested using the three sphere partition function and matching of the Hilbert series. We also provide an argument for the obstruction to the duality for theories with quartic monopole superpotentials. |
2004.08635 | Per Kraus | Per Kraus, Stathis Megas, Allic Sivaramakrishnan | Anomalous Dimensions from Thermal AdS Partition Functions | 35 pages | null | 10.1007/JHEP10(2020)149 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop an efficient method for computing thermal partition functions of
weakly coupled scalar fields in AdS. We consider quartic contact interactions
and show how to evaluate the relevant two-loop vacuum diagrams without
performing any explicit AdS integration, the key step being the use of
Kallen-Lehmann type identities. This leads to a simple method for extracting
double-trace anomalous dimensions in any spacetime dimension, recovering known
first-order results in a streamlined fashion.
| [
{
"created": "Sat, 18 Apr 2020 14:52:19 GMT",
"version": "v1"
}
] | 2020-12-02 | [
[
"Kraus",
"Per",
""
],
[
"Megas",
"Stathis",
""
],
[
"Sivaramakrishnan",
"Allic",
""
]
] | We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any explicit AdS integration, the key step being the use of Kallen-Lehmann type identities. This leads to a simple method for extracting double-trace anomalous dimensions in any spacetime dimension, recovering known first-order results in a streamlined fashion. |
1403.4742 | Sergey Sibiryakov | Sergey Sibiryakov | From scale invariance to Lorentz symmetry | 5 pages, no figures; changes in the abstract | Phys. Rev. Lett. 112, 241602 (2014) | 10.1103/PhysRevLett.112.241602 | CERN-PH-TH/2014-039, INR-TH/2014-006 | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that a unitary translationally invariant field theory in (1+1)
dimensions satisfying isotropic scale invariance, standard assumptions about
the spectrum of states and operators and the requirement that signals propagate
with finite velocity possesses an infinite dimensional symmetry given by one or
a product of several copies of conformal algebra. In particular, this implies
presence of one or several Lorentz groups acting on the operator algebra of the
theory.
| [
{
"created": "Wed, 19 Mar 2014 09:20:44 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2014 01:10:23 GMT",
"version": "v2"
}
] | 2014-06-25 | [
[
"Sibiryakov",
"Sergey",
""
]
] | It is shown that a unitary translationally invariant field theory in (1+1) dimensions satisfying isotropic scale invariance, standard assumptions about the spectrum of states and operators and the requirement that signals propagate with finite velocity possesses an infinite dimensional symmetry given by one or a product of several copies of conformal algebra. In particular, this implies presence of one or several Lorentz groups acting on the operator algebra of the theory. |
2404.14126 | Athanasios Chatzistavrakidis | Athanasios Chatzistavrakidis, Toni Kod\v{z}oman, Zoran \v{S}koda | Brane mechanics and gapped Lie n-algebroids | 37 pages | null | null | RBI-ThPhys-2024-06 | hep-th math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We draw a parallel between the BV/BRST formalism for higher-dimensional ($\ge
2$) Hamiltonian mechanics and higher notions of torsion and basic curvature
tensors for generalized connections in specific Lie $n$-algebroids based on
homotopy Poisson structures. The gauge systems we consider include Poisson
sigma models in any dimension and ``generalised R-flux'' deformations thereof,
such as models with an $(n+2)$-form-twisted R-Poisson target space. Their
BV/BRST action includes interaction terms among the fields, ghosts and
antifields whose coefficients acquire a geometric meaning by considering
twisted Koszul multibrackets that endow the target space with a structure that
we call a gapped almost Lie $n$-algebroid. Studying covariant derivatives along
$n$-forms, we define suitable polytorsion and basic polycurvature tensors and
identify them with the interaction coefficients in the gauge theory, thus
relating models for topological $n$-branes to differential geometry on Lie
$n$-algebroids.
| [
{
"created": "Mon, 22 Apr 2024 12:25:00 GMT",
"version": "v1"
}
] | 2024-04-23 | [
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Kodžoman",
"Toni",
""
],
[
"Škoda",
"Zoran",
""
]
] | We draw a parallel between the BV/BRST formalism for higher-dimensional ($\ge 2$) Hamiltonian mechanics and higher notions of torsion and basic curvature tensors for generalized connections in specific Lie $n$-algebroids based on homotopy Poisson structures. The gauge systems we consider include Poisson sigma models in any dimension and ``generalised R-flux'' deformations thereof, such as models with an $(n+2)$-form-twisted R-Poisson target space. Their BV/BRST action includes interaction terms among the fields, ghosts and antifields whose coefficients acquire a geometric meaning by considering twisted Koszul multibrackets that endow the target space with a structure that we call a gapped almost Lie $n$-algebroid. Studying covariant derivatives along $n$-forms, we define suitable polytorsion and basic polycurvature tensors and identify them with the interaction coefficients in the gauge theory, thus relating models for topological $n$-branes to differential geometry on Lie $n$-algebroids. |
hep-th/9703212 | Zorawar Bassi | Z. S. Bassi and A. LeClair | A 1D Model for N-level Atoms Coupled to an EM Field | 8 pages, Plain TeX | J.Math.Phys. 40 (1999) 3723-3731 | 10.1063/1.532922 | CLNS 97/1472 | hep-th physics.optics | null | We construct a model for n-level atoms coupled to quantized electromagnetic
fields in a fibrillar geometry. In the slowly varying envelope and rotating
wave approximations, the equations of motion are shown to satisfy a zero
curvature representation, implying integrability of the quantum system.
| [
{
"created": "Fri, 28 Mar 1997 22:32:33 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bassi",
"Z. S.",
""
],
[
"LeClair",
"A.",
""
]
] | We construct a model for n-level atoms coupled to quantized electromagnetic fields in a fibrillar geometry. In the slowly varying envelope and rotating wave approximations, the equations of motion are shown to satisfy a zero curvature representation, implying integrability of the quantum system. |
1803.10250 | Axel Kleinschmidt | Olof Ahl\'en, Axel Kleinschmidt | $D^6R^4$ curvature corrections, modular graph functions and Poincar\'e
series | 27 pages | null | 10.1007/JHEP05(2018)194 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study the U-duality invariant coefficient functions of higher
curvature corrections to the four-graviton scattering amplitude in type IIB
string theory compactified on a torus. The main focus is on the $D^6R^4$ term
that is known to satisfy an inhomogeneous Laplace equation. We exhibit a novel
method for solving this equation in terms of a Poincar\'e series ansatz and
recover known results in $D=10$ dimensions and find new results in $D<10$
dimensions. We also apply the method to modular graph functions as they arise
from closed superstring one-loop amplitudes.
| [
{
"created": "Tue, 27 Mar 2018 18:00:57 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Ahlén",
"Olof",
""
],
[
"Kleinschmidt",
"Axel",
""
]
] | In this note we study the U-duality invariant coefficient functions of higher curvature corrections to the four-graviton scattering amplitude in type IIB string theory compactified on a torus. The main focus is on the $D^6R^4$ term that is known to satisfy an inhomogeneous Laplace equation. We exhibit a novel method for solving this equation in terms of a Poincar\'e series ansatz and recover known results in $D=10$ dimensions and find new results in $D<10$ dimensions. We also apply the method to modular graph functions as they arise from closed superstring one-loop amplitudes. |
hep-th/9705063 | Donald Marolf | Donald Marolf | Statistical Effects and the Black Hole/D-brane Correspondence | 13 pages, RevTex, small errors corrected, some interpretation changed
in light of new results | Phys. Rev. D 57, 2427 (1998) | 10.1103/PhysRevD.57.2427 | SU-GP-97/4-1 | hep-th gr-qc | null | The horizon area and curvature of three-charge BPS black strings are studied
in the D-brane ensemble for the stationary black string. The charge
distributions along the string are used to translate the classical expressions
for the horizon area and curvature of BPS black strings with waves into
operators on the D-brane Hilbert space. Despite the fact that any `wavy' black
string has smaller horizon area and divergent curvature, the typical values of
the horizon area and effects of the horizon curvature in the D-brane ensemble
deviate negligibly from those of the original stationary black string in the
limit of large integer charges. Whether this holds in general will depend on
certain properties of the quantum bound states.
| [
{
"created": "Sat, 10 May 1997 20:09:22 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 1997 16:48:59 GMT",
"version": "v2"
},
{
"created": "Mon, 26 May 1997 16:56:27 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Dec 1997 18:44:13 GMT",
"version": "v4"
}
] | 2016-08-25 | [
[
"Marolf",
"Donald",
""
]
] | The horizon area and curvature of three-charge BPS black strings are studied in the D-brane ensemble for the stationary black string. The charge distributions along the string are used to translate the classical expressions for the horizon area and curvature of BPS black strings with waves into operators on the D-brane Hilbert space. Despite the fact that any `wavy' black string has smaller horizon area and divergent curvature, the typical values of the horizon area and effects of the horizon curvature in the D-brane ensemble deviate negligibly from those of the original stationary black string in the limit of large integer charges. Whether this holds in general will depend on certain properties of the quantum bound states. |
hep-th/0611328 | Christian Saemann | Sean Murray and Christian Saemann | Quantization of Flag Manifolds and their Supersymmetric Extensions | 1+53 pages, 6 figures, version published in ATMP | Adv.Theor.Math.Phys.12:641-710,2008 | null | null | hep-th | null | We first review the description of flag manifolds in terms of Pluecker
coordinates and coherent states. Using this description, we construct fuzzy
versions of the algebra of functions on these spaces in both operatorial and
star product language. Our main focus is here on flag manifolds appearing in
the double fibration underlying the most common twistor correspondences. After
extending the Pluecker description to certain supersymmetric cases, we also
obtain the appropriate deformed algebra of functions on a number of fuzzy flag
supermanifolds. In particular, fuzzy versions of Calabi-Yau supermanifolds are
found.
| [
{
"created": "Wed, 29 Nov 2006 17:38:12 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 2008 17:13:59 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Murray",
"Sean",
""
],
[
"Saemann",
"Christian",
""
]
] | We first review the description of flag manifolds in terms of Pluecker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functions on these spaces in both operatorial and star product language. Our main focus is here on flag manifolds appearing in the double fibration underlying the most common twistor correspondences. After extending the Pluecker description to certain supersymmetric cases, we also obtain the appropriate deformed algebra of functions on a number of fuzzy flag supermanifolds. In particular, fuzzy versions of Calabi-Yau supermanifolds are found. |
2107.13009 | Brian McPeak | Johan Henriksson, Brian McPeak, Francesco Russo, Alessandro Vichi | Rigorous Bounds on Light-by-Light Scattering | 39 pages, 6 figures | null | 10.1007/JHEP06(2022)158 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes
in four dimensions. After reviewing unitarity and positivity conditions in this
context, we use dispersion relations and crossing symmetry to compute sum rules
and null constraints. This allows us to derive new rigorous bounds on operators
with four, six, and eight derivatives, including two-sided bounds on their
ratios. Comparing with a number of partial UV completions, we find that some of
our bounds are saturated by the amplitudes that arise from integrating out a
massive scalar or axion, while others suggest the existence of unknown
amplitudes.
| [
{
"created": "Tue, 27 Jul 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Aug 2021 16:31:16 GMT",
"version": "v2"
},
{
"created": "Sun, 25 Sep 2022 15:01:56 GMT",
"version": "v3"
}
] | 2022-09-27 | [
[
"Henriksson",
"Johan",
""
],
[
"McPeak",
"Brian",
""
],
[
"Russo",
"Francesco",
""
],
[
"Vichi",
"Alessandro",
""
]
] | We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigorous bounds on operators with four, six, and eight derivatives, including two-sided bounds on their ratios. Comparing with a number of partial UV completions, we find that some of our bounds are saturated by the amplitudes that arise from integrating out a massive scalar or axion, while others suggest the existence of unknown amplitudes. |
hep-th/0401182 | Nicola Rossano Bruno | Nicola Rossano Bruno | Conformal group with two observer independent scales | 3 pages, brief summary of a talk given at the Tenth Marcel Grossmann
Meeting, Rio de Janeiro, 2003, based on results previously obtained in
hep-th/0306089 and hep-th/0305033 | null | 10.1142/9789812704030_0283 | null | hep-th | null | The Poincar\'e sector of a recently deformed conformal algebra is proposed to
describe, after the identification of the deformation parameter with the Planck
length, the symmetries of a new relativistic theory with two
observer-independent scales (or DSR theory). Also a new non-commutative
space-time is proposed. It is found that momentum space exhibits the same
features of the DSR proposals preserving Lorentz invariance in a deformed way.
The space-time sector is a generalization of the well known non-commutative
$\kappa$-Minkowski space-time which however does not preserve Lorentz
invariance, not even in the deformed sense. It is shown that this behavior
could be expected in some attempts to construct DSR theories starting from the
Poincar\'e sector of a deformed symmetry larger than Poincar\'e symmetry,
unless one takes a variable Planck length. It is also shown that the formalism
can be useful in analyzing the role of quantum deformations in the ``AdS-CFT
correspondence".
| [
{
"created": "Sat, 24 Jan 2004 14:34:32 GMT",
"version": "v1"
}
] | 2016-11-09 | [
[
"Bruno",
"Nicola Rossano",
""
]
] | The Poincar\'e sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent scales (or DSR theory). Also a new non-commutative space-time is proposed. It is found that momentum space exhibits the same features of the DSR proposals preserving Lorentz invariance in a deformed way. The space-time sector is a generalization of the well known non-commutative $\kappa$-Minkowski space-time which however does not preserve Lorentz invariance, not even in the deformed sense. It is shown that this behavior could be expected in some attempts to construct DSR theories starting from the Poincar\'e sector of a deformed symmetry larger than Poincar\'e symmetry, unless one takes a variable Planck length. It is also shown that the formalism can be useful in analyzing the role of quantum deformations in the ``AdS-CFT correspondence". |
hep-th/0311061 | Gyula Fodor | Gyula Fodor and Istv\'an R\'acz | What does a strongly excited 't Hooft-Polyakov magnetic monopole do? | 4 pages, 6 figures | Phys.Rev.Lett. 92 (2004) 151801 | 10.1103/PhysRevLett.92.151801 | null | hep-th gr-qc | null | The time evolution of strongly exited SU(2) Bogomolny-Prasad-Sommerfield
(BPS) magnetic monopoles in Minkowski spacetime is investigated by means of
numerical simulations based on the technique of conformal compactification and
on the use of hyperboloidal initial value problem. It is found that an
initially static monopole does not radiate the entire energy of the exciting
pulse toward future null infinity. Rather, a long-lasting quasi-stable
`breathing state' develops in the central region and certain expanding shell
structures -- built up by very high frequency oscillations -- are formed in the
far away region.
| [
{
"created": "Fri, 7 Nov 2003 15:18:46 GMT",
"version": "v1"
}
] | 2016-08-16 | [
[
"Fodor",
"Gyula",
""
],
[
"Rácz",
"István",
""
]
] | The time evolution of strongly exited SU(2) Bogomolny-Prasad-Sommerfield (BPS) magnetic monopoles in Minkowski spacetime is investigated by means of numerical simulations based on the technique of conformal compactification and on the use of hyperboloidal initial value problem. It is found that an initially static monopole does not radiate the entire energy of the exciting pulse toward future null infinity. Rather, a long-lasting quasi-stable `breathing state' develops in the central region and certain expanding shell structures -- built up by very high frequency oscillations -- are formed in the far away region. |
0811.0923 | Ashok Das | D. Bazeia, Ashok Das, L. Greenwood and L. Losano | The structure of supersymmetry in ${\cal PT}$ symmetric quantum
mechanics | 15 pages, some explanations included, references added | Phys.Lett.B673:283-287,2009 | 10.1016/j.physletb.2009.02.038 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The structure of supersymmetry is analyzed systematically in ${\cal PT}$
symmetric quantum mechanical theories. We give a detailed description of
supersymmetric systems associated with one dimensional ${\cal PT}$ symmetric
quantum mechanical theories. We show that there is a richer structure present
in these theories compared to the conventional theories associated with
Hermitian Hamiltonians. We bring out various properties associated with these
supersymmetric systems and generalize such quantum mechanical theories to
higher dimensions as well as to the case of one dimensional shape invariant
potentials.
| [
{
"created": "Thu, 6 Nov 2008 11:47:12 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Mar 2009 14:59:32 GMT",
"version": "v2"
}
] | 2009-03-24 | [
[
"Bazeia",
"D.",
""
],
[
"Das",
"Ashok",
""
],
[
"Greenwood",
"L.",
""
],
[
"Losano",
"L.",
""
]
] | The structure of supersymmetry is analyzed systematically in ${\cal PT}$ symmetric quantum mechanical theories. We give a detailed description of supersymmetric systems associated with one dimensional ${\cal PT}$ symmetric quantum mechanical theories. We show that there is a richer structure present in these theories compared to the conventional theories associated with Hermitian Hamiltonians. We bring out various properties associated with these supersymmetric systems and generalize such quantum mechanical theories to higher dimensions as well as to the case of one dimensional shape invariant potentials. |
2305.06363 | Jakob Moritz | Jakob Moritz | Orientifolding Kreuzer-Skarke | 32 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop tools that allow the systematic enumeration of inequivalent
holomorphic orientifolds of Calabi-Yau hypersurfaces in toric fourfolds of
arbitrary Hodge numbers. As examples, we construct an orientifold of the
Calabi-Yau hypersurface with largest known Hodge number $h^{1,1}=491$, as well
as an orientifold of a Calabi-Yau hypersurface with $h^{1,1}=243$ that yields a
large orientifold-odd Hodge number $h^{1,1}_-=120$.
| [
{
"created": "Wed, 10 May 2023 18:00:00 GMT",
"version": "v1"
}
] | 2023-05-12 | [
[
"Moritz",
"Jakob",
""
]
] | We develop tools that allow the systematic enumeration of inequivalent holomorphic orientifolds of Calabi-Yau hypersurfaces in toric fourfolds of arbitrary Hodge numbers. As examples, we construct an orientifold of the Calabi-Yau hypersurface with largest known Hodge number $h^{1,1}=491$, as well as an orientifold of a Calabi-Yau hypersurface with $h^{1,1}=243$ that yields a large orientifold-odd Hodge number $h^{1,1}_-=120$. |
hep-th/9602157 | Cornwall | John M. Cornwall | On The Phase Transition in D=3 Yang-Mills Chern-Simons Gauge Theory | 36 pages, latex, two .eps and three .ps figures in a gzipped
uuencoded file | Phys.Rev.D54:1814-1825,1996 | 10.1103/PhysRevD.54.1814 | UCLA/96/TEP/7 | hep-th | null | $SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of
level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$
and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For
$k \gg N$, this theory approaches topological Chern-Simons theory with no
Yang-Mills term, and expectation values of multiple Wilson loops yield Jones
polynomials, as Witten has shown; it can be treated semiclassically. For $k=0$,
the theory is badly infrared singular in perturbation theory, a
non-perturbative mass and subsequent quantum solitons are generated, and Wilson
loops show an area law. We argue that there is a phase transition between these
two behaviors at a critical value of $k$, called $k_c$, with $k_c/N \approx 2
\pm .7$. Three lines of evidence are given: First, a gauge-invariant one-loop
calculation shows that the perturbative theory has tachyonic problems if $k
\leq 29N/12$.The theory becomes sensible only if there is an additional dynamic
source of gauge-boson mass, just as in the $k=0$ case. Second, we study in a
rough approximation the free energy and show that for $k \leq k_c$ there is a
non-trivial vacuum condensate driven by soliton entropy and driving a
gauge-boson dynamical mass $M$, while both the condensate and $M$ vanish for $k
\geq k_c$. Third, we study possible quantum solitons stemming from an effective
action having both a Chern-Simons mass $m$ and a (gauge-invariant) dynamical
mass $M$. We show that if $M \gsim 0.5 m$, there are finite-action quantum
sphalerons, while none survive in the classical limit $M=0$, as shown earlier
by D'Hoker and Vinet. There are also quantum topological vortices smoothly
vanishing as $M \rightarrow 0$.
| [
{
"created": "Tue, 27 Feb 1996 19:22:04 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Cornwall",
"John M.",
""
]
] | $SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg N$, this theory approaches topological Chern-Simons theory with no Yang-Mills term, and expectation values of multiple Wilson loops yield Jones polynomials, as Witten has shown; it can be treated semiclassically. For $k=0$, the theory is badly infrared singular in perturbation theory, a non-perturbative mass and subsequent quantum solitons are generated, and Wilson loops show an area law. We argue that there is a phase transition between these two behaviors at a critical value of $k$, called $k_c$, with $k_c/N \approx 2 \pm .7$. Three lines of evidence are given: First, a gauge-invariant one-loop calculation shows that the perturbative theory has tachyonic problems if $k \leq 29N/12$.The theory becomes sensible only if there is an additional dynamic source of gauge-boson mass, just as in the $k=0$ case. Second, we study in a rough approximation the free energy and show that for $k \leq k_c$ there is a non-trivial vacuum condensate driven by soliton entropy and driving a gauge-boson dynamical mass $M$, while both the condensate and $M$ vanish for $k \geq k_c$. Third, we study possible quantum solitons stemming from an effective action having both a Chern-Simons mass $m$ and a (gauge-invariant) dynamical mass $M$. We show that if $M \gsim 0.5 m$, there are finite-action quantum sphalerons, while none survive in the classical limit $M=0$, as shown earlier by D'Hoker and Vinet. There are also quantum topological vortices smoothly vanishing as $M \rightarrow 0$. |
2104.00977 | Fri{\dh}rik Freyr Gautason | Nikolay Bobev, Fridrik Freyr Gautason, Jesse van Muiden | The Holographic Conformal Manifold of 3d $\mathcal{N}=2$ $S$-fold SCFTs | 30 pages, 3 figures | null | 10.1007/JHEP07(2021)221 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We employ a non-compact gauging of four-dimensional maximal supergravity to
construct a two-parameter family of AdS$_4$ J-fold solutions preserving
$\mathcal{N}=2$ supersymmetry. All solutions preserve
$\mathfrak{u}(1)\times\mathfrak{u}(1)$ global symmetry and in special limits we
recover the previously known $\mathfrak{su}(2)\times\mathfrak{u}(1)$ invariant
$\mathcal{N}=2$ and $\mathfrak{su}(2)\times\mathfrak{su}(2)$ invariant
$\mathcal{N}=4$ J-fold solutions. This family of AdS$_4$ backgrounds can be
uplifted to type IIB string theory and is holographically dual to the conformal
manifold of a class of three-dimensional $S$-fold SCFTs obtained from the
$\mathcal{N}=4$ $T[\text{U}(N)]$ theory of Gaiotto-Witten. We find the spectrum
of supergravity excitations of the AdS$_4$ solutions and use it to study how
the operator spectrum of the three-dimensional SCFT depends on the exactly
marginal couplings.
| [
{
"created": "Fri, 2 Apr 2021 10:31:32 GMT",
"version": "v1"
}
] | 2021-08-18 | [
[
"Bobev",
"Nikolay",
""
],
[
"Gautason",
"Fridrik Freyr",
""
],
[
"van Muiden",
"Jesse",
""
]
] | We employ a non-compact gauging of four-dimensional maximal supergravity to construct a two-parameter family of AdS$_4$ J-fold solutions preserving $\mathcal{N}=2$ supersymmetry. All solutions preserve $\mathfrak{u}(1)\times\mathfrak{u}(1)$ global symmetry and in special limits we recover the previously known $\mathfrak{su}(2)\times\mathfrak{u}(1)$ invariant $\mathcal{N}=2$ and $\mathfrak{su}(2)\times\mathfrak{su}(2)$ invariant $\mathcal{N}=4$ J-fold solutions. This family of AdS$_4$ backgrounds can be uplifted to type IIB string theory and is holographically dual to the conformal manifold of a class of three-dimensional $S$-fold SCFTs obtained from the $\mathcal{N}=4$ $T[\text{U}(N)]$ theory of Gaiotto-Witten. We find the spectrum of supergravity excitations of the AdS$_4$ solutions and use it to study how the operator spectrum of the three-dimensional SCFT depends on the exactly marginal couplings. |
1611.03945 | Gaston Giribet | Gaston Giribet | Stringy horizons and generalized FZZ duality in perturbation theory | 19 pages | JHEP 1702 (2017) 069 | 10.1007/JHEP02(2017)069 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study scattering amplitudes in two-dimensional string theory on a black
hole bakground. We start with a simple derivation of the
Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation
functions of the sine-Liouville integrable model on the Riemann sphere to
tree-level string amplitudes on the Euclidean two-dimensional black hole. This
derivation of FZZ duality is based on perturbation theory, and it relies on a
trick originally due to Fateev, which involves duality relations between
different Selberg type integrals. This enables us to rewrite the correlation
functions of sine-Liouville theory in terms of a special set of correlators in
the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further
consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality.
In particular, we prove that n-point correlation functions in sine-Liouville
theory involving n-2 winding modes actually coincide with the correlation
functions in the SL(2,R)/U(1) gauged WZW model that include n-2 oscillator
operators of the type described by Giveon, Itzhaki and Kutasov in reference
arXiv:1603.05822. This proves the GFZZ duality for the case of tree level
maximally winding violating n-point amplitudes with arbitrary $n$. We also
comment on the connection between GFZZ and other marginal deformations
previously considered in the literature.
| [
{
"created": "Sat, 12 Nov 2016 03:40:08 GMT",
"version": "v1"
}
] | 2017-03-08 | [
[
"Giribet",
"Gaston",
""
]
] | We study scattering amplitudes in two-dimensional string theory on a black hole bakground. We start with a simple derivation of the Fateev-Zamolodchikov-Zamolodchikov (FZZ) duality, which associates correlation functions of the sine-Liouville integrable model on the Riemann sphere to tree-level string amplitudes on the Euclidean two-dimensional black hole. This derivation of FZZ duality is based on perturbation theory, and it relies on a trick originally due to Fateev, which involves duality relations between different Selberg type integrals. This enables us to rewrite the correlation functions of sine-Liouville theory in terms of a special set of correlators in the gauged Wess-Zumino-Witten (WZW) theory, and use this to perform further consistency checks of the recently conjectured Generalized FZZ (GFZZ) duality. In particular, we prove that n-point correlation functions in sine-Liouville theory involving n-2 winding modes actually coincide with the correlation functions in the SL(2,R)/U(1) gauged WZW model that include n-2 oscillator operators of the type described by Giveon, Itzhaki and Kutasov in reference arXiv:1603.05822. This proves the GFZZ duality for the case of tree level maximally winding violating n-point amplitudes with arbitrary $n$. We also comment on the connection between GFZZ and other marginal deformations previously considered in the literature. |
1910.13455 | Pavel Putrov | Sergei Gukov, Du Pei, Pavel Putrov | Trialities of minimally supersymmetric 2d gauge theories | 34 pages, 3 figures | null | 10.1007/JHEP04(2020)079 | null | hep-th math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study dynamics of two-dimensional N=(0,1) supersymmetric gauge theories.
In particular, we propose that there is an infrared triality between certain
triples of theories with orthogonal and symplectic gauge groups. The proposal
is supported by matching of anomalies and elliptic genera. This triality can be
viewed as a (0,1) counterpart of the (0,2) triality proposed earlier by two of
the authors and A. Gadde. We also describe the relation between global
anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in
the present literature.
| [
{
"created": "Tue, 29 Oct 2019 18:00:02 GMT",
"version": "v1"
}
] | 2020-05-20 | [
[
"Gukov",
"Sergei",
""
],
[
"Pei",
"Du",
""
],
[
"Putrov",
"Pavel",
""
]
] | We study dynamics of two-dimensional N=(0,1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0,1) counterpart of the (0,2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature. |
hep-th/9304059 | null | Joshua Feinberg | Dissipation of the String Embedding Dimension in the Singlet Sector of a
Matrix Model at Large $\alpha^\prime$ | (PHR74JF@Technion.bitnet),TECHNION-PH-93-13,33 pages | Nucl.Phys.B405:389-406,1993 | 10.1016/0550-3213(93)90552-Z | null | hep-th | null | The one dimensional Fermi gas of matrix eigenvalues of the Marinari-Parisi
model at positive values of the cosmological constant is generalised.The number
of matrix eigenvalues (i.e. gas particles) is varied while keeping the
effective potential fixed. This model exhibits a transition from a phase whose
continuum behaviour is that of $c=1$ conformal matter coupled to gravity to the
well known pure gravity phase of the original model.The former phase is
character- ised by an extremely large Regge slope $\alpha^\prime$ which scales
as $\beta^{2/5}$ causing the scaling regions of the two phases to overlap. In
this way a continuous flow from one phase to the other is made poss- ible. This
phase transition occurs in the singlet sector of the matrix model. The density
of states and the two puncture correlator at non zero momenta are calculated on
the sphere and are found to behave very differ- ently in the two phases,a fact
which demonstrates the phase transition. We comment on a possible relation
between this transition and large \alpha^\prime$ semiclassical expansions in
the continuum.
| [
{
"created": "Thu, 15 Apr 1993 15:44:29 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Feinberg",
"Joshua",
""
]
] | The one dimensional Fermi gas of matrix eigenvalues of the Marinari-Parisi model at positive values of the cosmological constant is generalised.The number of matrix eigenvalues (i.e. gas particles) is varied while keeping the effective potential fixed. This model exhibits a transition from a phase whose continuum behaviour is that of $c=1$ conformal matter coupled to gravity to the well known pure gravity phase of the original model.The former phase is character- ised by an extremely large Regge slope $\alpha^\prime$ which scales as $\beta^{2/5}$ causing the scaling regions of the two phases to overlap. In this way a continuous flow from one phase to the other is made poss- ible. This phase transition occurs in the singlet sector of the matrix model. The density of states and the two puncture correlator at non zero momenta are calculated on the sphere and are found to behave very differ- ently in the two phases,a fact which demonstrates the phase transition. We comment on a possible relation between this transition and large \alpha^\prime$ semiclassical expansions in the continuum. |
hep-th/0703245 | Euihun Joung | E. Joung and J. Mourad | QFT with Twisted Poincar\'e Invariance and the Moyal Product | 11 pages, references added | JHEP 0705:098,2007 | 10.1088/1126-6708/2007/05/098 | null | hep-th | null | We study the consequences of twisting the Poincare invariance in a quantum
field theory. First, we construct a Fock space compatible with the twisting and
the corresponding creation and annihilation operators. Then, we show that a
covariant field linear in creation and annihilation operators does not exist.
Relaxing the linearity condition, a covariant field can be determined. We show
that it is related to the untwisted field by a unitary transformation and the
resulting n-point functions coincide with the untwisted ones. We also show that
invariance under the twisted symmetry can be realized using the covariant field
with the usual product or by a non-covariant field with a Moyal product. The
resulting S-matrix elements are shown to coincide with the untwisted ones up to
a momenta dependent phase.
| [
{
"created": "Tue, 27 Mar 2007 17:11:06 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Apr 2007 12:48:51 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Joung",
"E.",
""
],
[
"Mourad",
"J.",
""
]
] | We study the consequences of twisting the Poincare invariance in a quantum field theory. First, we construct a Fock space compatible with the twisting and the corresponding creation and annihilation operators. Then, we show that a covariant field linear in creation and annihilation operators does not exist. Relaxing the linearity condition, a covariant field can be determined. We show that it is related to the untwisted field by a unitary transformation and the resulting n-point functions coincide with the untwisted ones. We also show that invariance under the twisted symmetry can be realized using the covariant field with the usual product or by a non-covariant field with a Moyal product. The resulting S-matrix elements are shown to coincide with the untwisted ones up to a momenta dependent phase. |
1003.0471 | John Estes | John Estes, Costas Kounnas, Herve Partouche | Superstring cosmology for N_4 = 1 -> 0 superstring vacua | 54 pages, 3 figures | null | 10.1002/prop.201100040 | CPHT-RR009.0210, LPTENS-09/32 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the cosmology of perturbative heterotic superstring theory during
the radiation-like era for semi-realistic backgrounds with initial $\N=1$
supersymmetry. This analysis is valid for times after the Hagedorn era (or
alternatively inflation era) but before the electroweak symmetry breaking
transition. We find an attraction to a radiation-like era with the ratio of the
supersymmetry breaking scale to temperature stabilized. This provides a
dynamical mechanism for setting the supersymmetry breaking scale and its
corresponding hierarchy with the Planck scale. For the internal space, we find
that orbifold directions never decompactify, while toroidal directions may
decompactify only when they are wrapped by certain geometrical fluxes which
break supersymmetry. This suggests a mechanism for generating spatial
directions during the radiation-like era. Moreover, we show that certain moduli
may be stabilized during the radiation-like era with masses near the
supersymmetry breaking scale. In addition, the moduli do not dominate at late
times, thus avoiding the cosmological moduli problem.
| [
{
"created": "Tue, 2 Mar 2010 11:21:58 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2011 18:06:41 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Estes",
"John",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Partouche",
"Herve",
""
]
] | We study the cosmology of perturbative heterotic superstring theory during the radiation-like era for semi-realistic backgrounds with initial $\N=1$ supersymmetry. This analysis is valid for times after the Hagedorn era (or alternatively inflation era) but before the electroweak symmetry breaking transition. We find an attraction to a radiation-like era with the ratio of the supersymmetry breaking scale to temperature stabilized. This provides a dynamical mechanism for setting the supersymmetry breaking scale and its corresponding hierarchy with the Planck scale. For the internal space, we find that orbifold directions never decompactify, while toroidal directions may decompactify only when they are wrapped by certain geometrical fluxes which break supersymmetry. This suggests a mechanism for generating spatial directions during the radiation-like era. Moreover, we show that certain moduli may be stabilized during the radiation-like era with masses near the supersymmetry breaking scale. In addition, the moduli do not dominate at late times, thus avoiding the cosmological moduli problem. |
hep-th/0112020 | Horace Stoica | Horace Stoica | Comment on 4D Lorentz invariance violations in the brane-world | 21 pages, 6 figures, REVTEX, New section added | JHEP 0207:060,2002 | 10.1088/1126-6708/2002/07/060 | CLNS 01/1770 | hep-th gr-qc hep-ph | null | The brane-world scenario offers the possibility for signals to travel outside
our visible universe and reenter it. We find the condition for a signal emitted
from the brane to return to the brane. We study the propagation of such signals
and show that, as seen by a 4D observer, these signals arrive earlier than
light traveling along the brane. We also study the horizon problem and find
that, while the bulk signals can travel far enough to homogenize the visible
universe, it is unlikely that they have a significant effect since they are
redshifted in the gravitational field of the bulk black hole.
| [
{
"created": "Mon, 3 Dec 2001 21:56:22 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Jun 2002 20:34:08 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Stoica",
"Horace",
""
]
] | The brane-world scenario offers the possibility for signals to travel outside our visible universe and reenter it. We find the condition for a signal emitted from the brane to return to the brane. We study the propagation of such signals and show that, as seen by a 4D observer, these signals arrive earlier than light traveling along the brane. We also study the horizon problem and find that, while the bulk signals can travel far enough to homogenize the visible universe, it is unlikely that they have a significant effect since they are redshifted in the gravitational field of the bulk black hole. |
hep-th/9805035 | Michio Hashimoto | Michio Hashimoto | The Higgs Boson Mass and Ward-Takahashi Identity in Gauged
Nambu-Jona-Lasinio Model | LaTeX file, 10 pages and 2 eps figures, application to QCD is
described in detail | Phys.Lett. B441 (1998) 389-395 | 10.1016/S0370-2693(98)01150-2 | DPNU-98-17 | hep-th hep-lat hep-ph | null | A new formula for the composite Higgs boson mass is given, based on the
Ward-Takahashi identity and the Schwinger-Dyson(SD) equation. In this formula
the dominant asymptotic solution of the SD equation yields a correct answer, in
sharp contrast to the Partially Conserved Dilatation Current(PCDC) approach
where the sub- and sub-sub-dominant solutions should be taken into account
carefully. In the gauged Nambu-Jona-Lasinio model we find M_H \simeq \sqrt{2}M
for the composite Higgs boson mass M_H and the dynamical mass of the fermion M
in the case of the constant gauge coupling(with large cut off), which is
consistent with the PCDC approach and the renormalization-group approach. As to
the case of the running gauge coupling, we find M_H \simeq 2
\sqrt{(A-1)/(2A-1)}M, where A \equiv 18 C_2 /(11N_c - 2N_f) with C_2 being the
quadratic Casimir of the fermion representation. We also discuss a
straightforward application of our formula to QCD(without 4-Fermi coupling),
which yields M_{\sigma} \sim \sqrt{2}M_{dyn}, with M_{\sigma} and M_{dyn} being
the light scalar(``\sigma-meson'') mass and mass of the constituent quark,
respectively.
| [
{
"created": "Thu, 7 May 1998 07:04:43 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 1998 10:14:31 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Hashimoto",
"Michio",
""
]
] | A new formula for the composite Higgs boson mass is given, based on the Ward-Takahashi identity and the Schwinger-Dyson(SD) equation. In this formula the dominant asymptotic solution of the SD equation yields a correct answer, in sharp contrast to the Partially Conserved Dilatation Current(PCDC) approach where the sub- and sub-sub-dominant solutions should be taken into account carefully. In the gauged Nambu-Jona-Lasinio model we find M_H \simeq \sqrt{2}M for the composite Higgs boson mass M_H and the dynamical mass of the fermion M in the case of the constant gauge coupling(with large cut off), which is consistent with the PCDC approach and the renormalization-group approach. As to the case of the running gauge coupling, we find M_H \simeq 2 \sqrt{(A-1)/(2A-1)}M, where A \equiv 18 C_2 /(11N_c - 2N_f) with C_2 being the quadratic Casimir of the fermion representation. We also discuss a straightforward application of our formula to QCD(without 4-Fermi coupling), which yields M_{\sigma} \sim \sqrt{2}M_{dyn}, with M_{\sigma} and M_{dyn} being the light scalar(``\sigma-meson'') mass and mass of the constituent quark, respectively. |
2406.17221 | Jung Hun Lee | Chanyong Park, Jung Hun Lee | IR physics from the holographic RG flow | 15 pages with appendices; typos corrected, references added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Applying the holographic method, we investigate an RG flow and IR physics
holographically when a two-dimensional conformal field theory is deformed by a
relevant scalar operator. To do so, we first assume an RG flow from a UV to new
IR CFT. On the dual gravity side, such an RG flow can be described by rolling
down of a bulk scalar field from an unstable to stable equilibrium point. After
considering a simple scalar potential allowing several local extrema, we study
the change of a ground state along the RG flow. We show that the entanglement
entropy at an IR fixed point leads to a logarithmic divergence due to restoring
of the conformal symmetry. We study how the change of the ground state affects
two-point functions. In the probe limit, we numerically calculate the change of
a conformal dimension caused by the modification of the ground state. We
further study the analytic form of the IR conformal dimension which is
perfectly matched to the numerical result.
| [
{
"created": "Tue, 25 Jun 2024 02:14:00 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2024 09:12:14 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Park",
"Chanyong",
""
],
[
"Lee",
"Jung Hun",
""
]
] | Applying the holographic method, we investigate an RG flow and IR physics holographically when a two-dimensional conformal field theory is deformed by a relevant scalar operator. To do so, we first assume an RG flow from a UV to new IR CFT. On the dual gravity side, such an RG flow can be described by rolling down of a bulk scalar field from an unstable to stable equilibrium point. After considering a simple scalar potential allowing several local extrema, we study the change of a ground state along the RG flow. We show that the entanglement entropy at an IR fixed point leads to a logarithmic divergence due to restoring of the conformal symmetry. We study how the change of the ground state affects two-point functions. In the probe limit, we numerically calculate the change of a conformal dimension caused by the modification of the ground state. We further study the analytic form of the IR conformal dimension which is perfectly matched to the numerical result. |
1212.2904 | Filipe Moura | Filipe Moura | Tensorial perturbations and stability of spherically symmetric
d-dimensional black holes in string theory | 20 pages. Includes results originally published in arXiv:1105.5074v1,
but removed from arXiv:1105.5074v2. v2: references added. Published version | Phys. Rev. D87, 044036 (2013) | 10.1103/PhysRevD.87.044036 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the tensorial perturbations to a general spherically symmetric
metric in d dimensions with string-theoretical corrections quadratic in the
Riemann tensor, from which we derive their respective potential. We use this
result to study the stability of corresponding black hole solutions under such
perturbations.
| [
{
"created": "Wed, 12 Dec 2012 17:59:51 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Mar 2013 18:14:02 GMT",
"version": "v2"
}
] | 2013-03-14 | [
[
"Moura",
"Filipe",
""
]
] | We compute the tensorial perturbations to a general spherically symmetric metric in d dimensions with string-theoretical corrections quadratic in the Riemann tensor, from which we derive their respective potential. We use this result to study the stability of corresponding black hole solutions under such perturbations. |
hep-th/0412169 | Gary T. Horowitz | Thomas Hertog and Gary T. Horowitz | Designer Gravity and Field Theory Effective Potentials | 4 pages | Phys.Rev.Lett. 94 (2005) 221301 | 10.1103/PhysRevLett.94.221301 | null | hep-th gr-qc | null | Motivated by the AdS/CFT correspondence, we show that there is a remarkable
agreement between static supergravity solutions and extrema of a field theory
potential. For essentially any function V, there are boundary conditions in
anti de Sitter space so that gravitational solitons exist precisely at the
extrema of V and have masses given by the value of V at these extrema. Based on
this, we propose new positive energy conjectures. On the field theory side,
each function V can be interpreted as the effective potential for a certain
operator in the dual field theory.
| [
{
"created": "Wed, 15 Dec 2004 23:11:42 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Hertog",
"Thomas",
""
],
[
"Horowitz",
"Gary T.",
""
]
] | Motivated by the AdS/CFT correspondence, we show that there is a remarkable agreement between static supergravity solutions and extrema of a field theory potential. For essentially any function V, there are boundary conditions in anti de Sitter space so that gravitational solitons exist precisely at the extrema of V and have masses given by the value of V at these extrema. Based on this, we propose new positive energy conjectures. On the field theory side, each function V can be interpreted as the effective potential for a certain operator in the dual field theory. |
0805.0076 | Nilanjan Sircar | B. Sathiapalan and Nilanjan Sircar | Can the Hagedorn Phase Transition be explained from Matrix Model for
Strings? | minor changes | JHEP 0808:019,2008 | 10.1088/1126-6708/2008/08/019 | IMSC/2008/05/04 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The partition function of BFSS matrix model is studied for two different
classical backgrounds upto 1-loop level. One of the backgrounds correspond to a
membrane wrapped around a compact direction and another to a localized cluster
of $D0$-branes. It is shown there exist phase transitions between these two
configurations - but only in presence of an IR cut-off. The low temperature
phase corresponds to a string (wrapped membrane) phase and so we call this the
Hagedorn phase transition. While the presence of an IR cut-off seemingly is
only required for perturbative analysis to be valid, the physical necessity of
such a cut-off can be seen in the dual supergravity side. It has been argued
from entropy considerations that a finite size horizon must develop even in an
extremal configuration of D0-branes, from higher derivative $O(g_s)$
corrections to supergravity. It can then be shown that the Hagedorn like
transition exists in supergravity also. Interestingly the perturbative analysis
also shows a second phase transition back to a string phase. This is also
reminiscent of the Gregory-Laflamme instability.
| [
{
"created": "Thu, 1 May 2008 11:25:53 GMT",
"version": "v1"
},
{
"created": "Thu, 8 May 2008 15:41:21 GMT",
"version": "v2"
},
{
"created": "Thu, 17 Jul 2008 12:07:41 GMT",
"version": "v3"
}
] | 2009-12-04 | [
[
"Sathiapalan",
"B.",
""
],
[
"Sircar",
"Nilanjan",
""
]
] | The partition function of BFSS matrix model is studied for two different classical backgrounds upto 1-loop level. One of the backgrounds correspond to a membrane wrapped around a compact direction and another to a localized cluster of $D0$-branes. It is shown there exist phase transitions between these two configurations - but only in presence of an IR cut-off. The low temperature phase corresponds to a string (wrapped membrane) phase and so we call this the Hagedorn phase transition. While the presence of an IR cut-off seemingly is only required for perturbative analysis to be valid, the physical necessity of such a cut-off can be seen in the dual supergravity side. It has been argued from entropy considerations that a finite size horizon must develop even in an extremal configuration of D0-branes, from higher derivative $O(g_s)$ corrections to supergravity. It can then be shown that the Hagedorn like transition exists in supergravity also. Interestingly the perturbative analysis also shows a second phase transition back to a string phase. This is also reminiscent of the Gregory-Laflamme instability. |
0804.0763 | Miguel Paulos | M.F. Paulos | Higher derivative terms including the Ramond-Ramond five-form | v2 - Numerical typos fixed, small text changes. | JHEP 0810:047,2008 | 10.1088/1126-6708/2008/10/047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Superfield methods can be used to determine the precise way the self-dual
five-form couples to the metric in the first non-trivial $\alpha'$ corrections
to type IIB supergravity. We explicitly compute the exact tensor structure of
these terms. This requires extensive use of computing algorithms to reduce the
complicated expressions that appear to a surprisingly simple form. Along the
way we show a new method of computing Schouten identities. With this result we
clarify under which conditions one may neglect the five-form higher derivative
terms. We comment on corrections to the thermodynamics of charged black holes.
| [
{
"created": "Fri, 4 Apr 2008 15:15:18 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Apr 2010 14:06:23 GMT",
"version": "v2"
}
] | 2010-04-22 | [
[
"Paulos",
"M. F.",
""
]
] | Superfield methods can be used to determine the precise way the self-dual five-form couples to the metric in the first non-trivial $\alpha'$ corrections to type IIB supergravity. We explicitly compute the exact tensor structure of these terms. This requires extensive use of computing algorithms to reduce the complicated expressions that appear to a surprisingly simple form. Along the way we show a new method of computing Schouten identities. With this result we clarify under which conditions one may neglect the five-form higher derivative terms. We comment on corrections to the thermodynamics of charged black holes. |
0802.1014 | Marcin Badziak | M. Badziak and M. Olechowski (Warsaw U.) | Volume modulus inflation and a low scale of SUSY breaking | 28 pages, 8 figures, comments and references added, minor change in
notation, version to be published | JCAP 0807:021,2008 | 10.1088/1475-7516/2008/07/021 | IFT-08-03 | hep-th astro-ph hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relation between the Hubble constant and the scale of supersymmetry
breaking is investigated in models of inflation dominated by a string modulus.
Usually in this kind of models the gravitino mass is of the same order of
magnitude as the Hubble constant which is not desirable from the
phenomenological point of view. It is shown that slow-roll saddle point
inflation may be compatible with a low scale of supersymmetry breaking only if
some corrections to the lowest order Kahler potential are taken into account.
However, choosing an appropriate Kahler potential is not enough. There are also
conditions for the superpotential, and e.g. the popular racetrack
superpotential turns out to be not suitable. A model is proposed in which
slow-roll inflation and a light gravitino are compatible. It is based on a
superpotential with a triple gaugino condensation and the Kahler potential with
the leading string corrections. The problem of fine tuning and experimental
constraints are discussed for that model.
| [
{
"created": "Thu, 7 Feb 2008 19:40:50 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2008 13:01:47 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Badziak",
"M.",
"",
"Warsaw U."
],
[
"Olechowski",
"M.",
"",
"Warsaw U."
]
] | The relation between the Hubble constant and the scale of supersymmetry breaking is investigated in models of inflation dominated by a string modulus. Usually in this kind of models the gravitino mass is of the same order of magnitude as the Hubble constant which is not desirable from the phenomenological point of view. It is shown that slow-roll saddle point inflation may be compatible with a low scale of supersymmetry breaking only if some corrections to the lowest order Kahler potential are taken into account. However, choosing an appropriate Kahler potential is not enough. There are also conditions for the superpotential, and e.g. the popular racetrack superpotential turns out to be not suitable. A model is proposed in which slow-roll inflation and a light gravitino are compatible. It is based on a superpotential with a triple gaugino condensation and the Kahler potential with the leading string corrections. The problem of fine tuning and experimental constraints are discussed for that model. |
1410.7865 | Ignacio Salazar | Ignacio Salazar Landea | Inhomogeneous superfluids | 14 pages, 6 figures, references added | null | null | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model
at finite velocity and chemical potential with a global $U(1)$ or $U(2)$
symmetry. Whenever the chemical potential is large enough we find flowing
homogeneous solutions and static inhomogeneous solutions at any arbitrary small
velocity. For the $U(1)$ model the inhomogeneous solutions found are
energetically favourable for large enough superfluid velocity and the
homogeneous and inhomogeneous phases are connected via a first order phase
transitions. On the other hand, the $U(2)$ model becomes striped as soon as we
turn on the velocity through a second order phase transition. In both models
increasing the velocity leads to a second order phase transition into a phase
with no condensate.
| [
{
"created": "Wed, 29 Oct 2014 02:58:35 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Aug 2015 03:34:13 GMT",
"version": "v2"
}
] | 2015-08-10 | [
[
"Landea",
"Ignacio Salazar",
""
]
] | We show examples of a striped superfluid in a simple $\lambda\varphi^4$ model at finite velocity and chemical potential with a global $U(1)$ or $U(2)$ symmetry. Whenever the chemical potential is large enough we find flowing homogeneous solutions and static inhomogeneous solutions at any arbitrary small velocity. For the $U(1)$ model the inhomogeneous solutions found are energetically favourable for large enough superfluid velocity and the homogeneous and inhomogeneous phases are connected via a first order phase transitions. On the other hand, the $U(2)$ model becomes striped as soon as we turn on the velocity through a second order phase transition. In both models increasing the velocity leads to a second order phase transition into a phase with no condensate. |
hep-th/9704078 | Claudio O. Dib | C. Dib, O. Espinosa, I. Schmidt | 3-dimensional Rules for Finite-Temperature Loops | 12 pages, 4 figures, to appear in Physics Letters B | Phys.Lett. B402 (1997) 147-153 | 10.1016/S0370-2693(97)00435-8 | USM-TH-67 | hep-th hep-ph | null | We present simple diagrammatic rules to write down Euclidean n-point
functions at finite temperature directly in terms of 3-dimensional momentum
integrals, without ever performing a single Matsubara sum. The rules can be
understood as describing the interaction of the external particles with those
of the thermal bath.
| [
{
"created": "Wed, 9 Apr 1997 19:05:14 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Dib",
"C.",
""
],
[
"Espinosa",
"O.",
""
],
[
"Schmidt",
"I.",
""
]
] | We present simple diagrammatic rules to write down Euclidean n-point functions at finite temperature directly in terms of 3-dimensional momentum integrals, without ever performing a single Matsubara sum. The rules can be understood as describing the interaction of the external particles with those of the thermal bath. |
hep-th/0602151 | Shailesh Kulkarni | Rabin Banerjee, Shailesh Kulkarni and Saurav Samanta | Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics | 19 pages; Latex; title changed, 3 new references added and minor
changes; to appear in JHEP | JHEP0605:077,2006 | 10.1088/1126-6708/2006/05/077 | null | hep-th | null | We describe the deformed Poincare-conformal symmetries implying the
covariance of the noncommutative space obeying Snyder's algebra. Relativistic
particle models invariant under these deformed symmetries are presented. A
gauge (reparametrisation) independent derivation of
Snyder's algebra from such models is given. The algebraic transformations
relating the deformed symmetries with the usual (undeformed) ones are provided.
Finally, an alternative form of an action yielding Snyder's algebra is
discussed where the mass of a relativistic particle gets identified with the
inverse of the noncommutativity parameter.
| [
{
"created": "Wed, 15 Feb 2006 13:17:39 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Jun 2006 06:16:33 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Banerjee",
"Rabin",
""
],
[
"Kulkarni",
"Shailesh",
""
],
[
"Samanta",
"Saurav",
""
]
] | We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder's algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder's algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided. Finally, an alternative form of an action yielding Snyder's algebra is discussed where the mass of a relativistic particle gets identified with the inverse of the noncommutativity parameter. |
1007.0055 | Bo Feng | Bo Feng, Song He | KLT and New Relations for N=8 SUGRA and N=4 SYM | 12 Pages | JHEP 1009:043,2010 | 10.1007/JHEP09(2010)043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this short note, we prove the supersymmetric Kawai-Lewellen-Tye (KLT)
relations between N=8 supergravity (SUGRA) and N=4 super Yang-Mills (SYM)
tree-level amplitudes in the frame of S-matrix program, especially we do not
use string theory or the explicit Lagrangian form of corresponding theories.
Our supersymmetric KLT relations naturally unify the non-supersymmetric KLT
relations and newly discovered gauge theory identities and produce more
identities for amplitudes involving scalars and fermions. We point out also
that these newly discovered identities can be used to reduce helicity basis
from (n-3)! further down.
| [
{
"created": "Thu, 1 Jul 2010 01:43:14 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Feng",
"Bo",
""
],
[
"He",
"Song",
""
]
] | In this short note, we prove the supersymmetric Kawai-Lewellen-Tye (KLT) relations between N=8 supergravity (SUGRA) and N=4 super Yang-Mills (SYM) tree-level amplitudes in the frame of S-matrix program, especially we do not use string theory or the explicit Lagrangian form of corresponding theories. Our supersymmetric KLT relations naturally unify the non-supersymmetric KLT relations and newly discovered gauge theory identities and produce more identities for amplitudes involving scalars and fermions. We point out also that these newly discovered identities can be used to reduce helicity basis from (n-3)! further down. |
2012.00409 | Reinoud Slagter | Reinoud J. Slagter | Conformal Dilaton Gravity and Warped Spacetimes in 5D | V8. Some minor type errors corrected. Comment welcome | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | An exact time-dependent solution of a black hole is found in conformally
invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric
$g_{\mu\nu}=\omega^{\frac{4}{n-2}}\tilde g_{\mu\nu}$. Here $\tilde g_{\mu\nu}$
represents the "un-physical" spacetime and $\omega$ the dilaton field, which
will be treated on equal footing as any renormalizable scalar field. In the
case of a five-dimensional warped spacetime, we write $ ^{(4)}{\tilde
g_{\mu\nu}}=\bar\omega^2{ ^{(4)}\bar g_{\mu\nu}}$ Both $\omega$ and
$\bar\omega$ can be used to describe the different notion the in-going and
outside observers have of the Hawking radiation by using different conformal
gauge freedom. The disagreement about the interior of the black hole is
explained by the antipodal map of points on the horizon. The free parameters of
the solution can be chosen in such a way that $\bar g_{\mu\nu}$ is
singular-free and topologically regular, even for $\omega\rightarrow 0$. It is
remarkable that the 5D and 4D effective field equations for the metric
components and dilaton fields can be written in general dimension $ n= 4,5$. It
is conjectured that, in context of quantization procedures in the vicinity of
the horizon, unitarity problems only occur in the bulk at large extra-dimension
scale. The subtraction point in an effective theory will be in the UV only in
the bulk, because the use of a large extra dimension results in a fundamental
Planck scale comparable with the electroweak scale.
| [
{
"created": "Tue, 1 Dec 2020 11:19:26 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Dec 2020 18:35:24 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Jan 2021 08:47:40 GMT",
"version": "v3"
},
{
"created": "Tue, 12 Jan 2021 21:06:56 GMT",
"version": "v4"
},
{
"cre... | 2021-07-19 | [
[
"Slagter",
"Reinoud J.",
""
]
] | An exact time-dependent solution of a black hole is found in conformally invariant gravity on a warped Randall-Sundrum spacetime, by writing the metric $g_{\mu\nu}=\omega^{\frac{4}{n-2}}\tilde g_{\mu\nu}$. Here $\tilde g_{\mu\nu}$ represents the "un-physical" spacetime and $\omega$ the dilaton field, which will be treated on equal footing as any renormalizable scalar field. In the case of a five-dimensional warped spacetime, we write $ ^{(4)}{\tilde g_{\mu\nu}}=\bar\omega^2{ ^{(4)}\bar g_{\mu\nu}}$ Both $\omega$ and $\bar\omega$ can be used to describe the different notion the in-going and outside observers have of the Hawking radiation by using different conformal gauge freedom. The disagreement about the interior of the black hole is explained by the antipodal map of points on the horizon. The free parameters of the solution can be chosen in such a way that $\bar g_{\mu\nu}$ is singular-free and topologically regular, even for $\omega\rightarrow 0$. It is remarkable that the 5D and 4D effective field equations for the metric components and dilaton fields can be written in general dimension $ n= 4,5$. It is conjectured that, in context of quantization procedures in the vicinity of the horizon, unitarity problems only occur in the bulk at large extra-dimension scale. The subtraction point in an effective theory will be in the UV only in the bulk, because the use of a large extra dimension results in a fundamental Planck scale comparable with the electroweak scale. |
0705.1929 | Gregory Gabadadze | Gregory Gabadadze | Cargese Lectures on Brane Induced Gravity | 17 pages; based on Carg\`ese lectures of 2006; to appear in
proceedings | Nucl.Phys.Proc.Suppl.171:88-98,2007 | 10.1016/j.nuclphysbps.2007.06.005 | NYU-TH-07/03/16 | hep-th astro-ph | null | A brief introduction is given to the subject of brane induced gravity. The 5D
example is discussed in detail. The 4D laws of gravity are obtained on a brane
embedded in an infinite volume extra space, where the problem of stabilization
of the volume modulus is absent. The theory has two classically disjoint
branches of solutions -- the conventional and self-accelerated one. The
conventional branch gives a perturbatively stable model of a metastable
graviton, with potentially testable predictions within the Solar system. The
self-accelerated branch, on the other hand, provides an existence proof for an
idea that the accelerated expansion of the Universe could be due to modified
gravity. The issue of perturbative stability of the self-accelerated branch is
obscured by a breakdown of the conventional perturbative expansion. However, a
certain exact non-perturbative solution found in hep-th/0612016 exhibits a net
negative gravitational mass, while this mass is positive on the conventional
branch. This suggest that the self-accelerated solution must be
non-perturbatively unstable. A proposal to overcome this problem in an
extension of the original model, that also allows for the quantum gravity scale
to be unrestricted, is briefly discussed.
| [
{
"created": "Mon, 14 May 2007 12:38:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gabadadze",
"Gregory",
""
]
] | A brief introduction is given to the subject of brane induced gravity. The 5D example is discussed in detail. The 4D laws of gravity are obtained on a brane embedded in an infinite volume extra space, where the problem of stabilization of the volume modulus is absent. The theory has two classically disjoint branches of solutions -- the conventional and self-accelerated one. The conventional branch gives a perturbatively stable model of a metastable graviton, with potentially testable predictions within the Solar system. The self-accelerated branch, on the other hand, provides an existence proof for an idea that the accelerated expansion of the Universe could be due to modified gravity. The issue of perturbative stability of the self-accelerated branch is obscured by a breakdown of the conventional perturbative expansion. However, a certain exact non-perturbative solution found in hep-th/0612016 exhibits a net negative gravitational mass, while this mass is positive on the conventional branch. This suggest that the self-accelerated solution must be non-perturbatively unstable. A proposal to overcome this problem in an extension of the original model, that also allows for the quantum gravity scale to be unrestricted, is briefly discussed. |
1412.4310 | Tuna Yildirim Ph.D. | Tuna Yildirim | Topologically Massive Yang-Mills Theory and Link Invariants (Thesis) | Ph.D. Thesis, The University of Iowa. 81 pages, 10 figures, various
typos fixed in v2, "(Thesis)" added to the title to avoid confusion with the
similarly titled paper published on IJMPA | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis, topologically massive Yang-Mills theory is studied in the
framework of geometric quantization. This theory has a mass gap that is
proportional to the topological mass $m$. Thus, Yang-Mills contribution decays
exponentially at very large distances compared to $1/m$, leaving a pure
Chern-Simons theory with level number $k$. The focus of this research is the
$near$ Chern-Simons limit of the theory, where the distance is large enough to
give an almost topological theory, with a small contribution from the
Yang-Mills term. It is shown that this almost topological theory consists of
two copies of Chern-Simons with level number $k/2$, very similar to the
Chern-Simons splitting of topologically massive AdS gravity model. As $m$
approaches to infinity, the split parts add up to give the original
Chern-Simons term with level $k$. Also, gauge invariance of the split
Chern-Simons theories is discussed for odd values of $k$. Furthermore, a
relation between the observables of topologically massive Yang-Mills theory and
Chern-Simons theory is obtained. It is shown that one of the two split
Chern-Simons pieces is associated with Wilson loops while the other with 't
Hooft loops. This allows one to use skein relations to calculate topologically
massive Yang-Mills theory observables in the near Chern-Simons limit. Finally,
motivated with the topologically massive AdS gravity model, Chern-Simons
splitting concept is extended to pure Yang-Mills theory at large distances. It
is shown that pure Yang-Mills theory acts like two Chern-Simons theories with
level numbers $k/2$ and $-k/2$ at large scales. At very large scales, these two
terms cancel to make the theory trivial, as required by the existence of a mass
gap.
| [
{
"created": "Sun, 14 Dec 2014 04:10:09 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jan 2018 01:47:48 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jan 2018 04:52:35 GMT",
"version": "v3"
}
] | 2018-01-18 | [
[
"Yildirim",
"Tuna",
""
]
] | In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass $m$. Thus, Yang-Mills contribution decays exponentially at very large distances compared to $1/m$, leaving a pure Chern-Simons theory with level number $k$. The focus of this research is the $near$ Chern-Simons limit of the theory, where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copies of Chern-Simons with level number $k/2$, very similar to the Chern-Simons splitting of topologically massive AdS gravity model. As $m$ approaches to infinity, the split parts add up to give the original Chern-Simons term with level $k$. Also, gauge invariance of the split Chern-Simons theories is discussed for odd values of $k$. Furthermore, a relation between the observables of topologically massive Yang-Mills theory and Chern-Simons theory is obtained. It is shown that one of the two split Chern-Simons pieces is associated with Wilson loops while the other with 't Hooft loops. This allows one to use skein relations to calculate topologically massive Yang-Mills theory observables in the near Chern-Simons limit. Finally, motivated with the topologically massive AdS gravity model, Chern-Simons splitting concept is extended to pure Yang-Mills theory at large distances. It is shown that pure Yang-Mills theory acts like two Chern-Simons theories with level numbers $k/2$ and $-k/2$ at large scales. At very large scales, these two terms cancel to make the theory trivial, as required by the existence of a mass gap. |
hep-th/0512091 | Itzhak Bars | Itzhak Bars and Moises Picon | Single twistor description of massless, massive, AdS, and other
interacting particles | 31 pages, LaTeX | Phys.Rev.D73:064002,2006 | 10.1103/PhysRevD.73.064002 | USC-05/HEP-B2 | hep-th | null | The Penrose transform between twistors and the phase space of massless
particles is generalized from the massless case to an assortment of other
particle dynamical systems, including special examples of massless or massive
particles, relativistic or non-relativistic, interacting or non-interacting, in
flat space or curved spaces. Our unified construction involves always the
\it{same} twistor Z^A with only four complex degrees of freedom and subject to
the \it{same} helicity constraint. Only the twistor to phase space transform
differs from one case to another. Hence a unification of diverse particle
dynamical systems is displayed by the fact that they all share the same twistor
description. Our single twistor approach seems to be rather different and
strikingly economical construction of twistors compared to other past
approaches that introduced multiple twistors to represent some similar but far
more limited set of particle phase space systems.
| [
{
"created": "Thu, 8 Dec 2005 14:17:57 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bars",
"Itzhak",
""
],
[
"Picon",
"Moises",
""
]
] | The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or non-relativistic, interacting or non-interacting, in flat space or curved spaces. Our unified construction involves always the \it{same} twistor Z^A with only four complex degrees of freedom and subject to the \it{same} helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence a unification of diverse particle dynamical systems is displayed by the fact that they all share the same twistor description. Our single twistor approach seems to be rather different and strikingly economical construction of twistors compared to other past approaches that introduced multiple twistors to represent some similar but far more limited set of particle phase space systems. |
hep-th/9808022 | Seiji Terashima | Seiji Terashima and Sung-Kil Yang | Seiberg-Witten Geometry with Various Matter Contents | 21 pages, LaTex, 1 figure | Nucl.Phys. B537 (1999) 344-360 | 10.1016/S0550-3213(98)00646-4 | UTHEP-385 | hep-th | null | We obtain the Seiberg-Witten geometry for four-dimensional N=2 gauge theory
with gauge group SO(2N_c) (N_c \leq 5) with massive spinor and vector
hypermultiplets by considering the gauge symmetry breaking in the N=2 $E_6$
theory with massive fundamental hypermultiplets. In a similar way the
Seiberg-Witten geometry is determined for N=2 SU(N_c) (N_c \leq 6) gauge theory
with massive antisymmetric and fundamental hypermultiplets. Whenever possible
we compare our results expressed in the form of ALE fibrations with those
obtained by geometric engineering and brane dynamics, and find a remarkable
agreement. We also show that these results are reproduced by using N=1
confining phase superpotentials.
| [
{
"created": "Wed, 5 Aug 1998 13:34:04 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Terashima",
"Seiji",
""
],
[
"Yang",
"Sung-Kil",
""
]
] | We obtain the Seiberg-Witten geometry for four-dimensional N=2 gauge theory with gauge group SO(2N_c) (N_c \leq 5) with massive spinor and vector hypermultiplets by considering the gauge symmetry breaking in the N=2 $E_6$ theory with massive fundamental hypermultiplets. In a similar way the Seiberg-Witten geometry is determined for N=2 SU(N_c) (N_c \leq 6) gauge theory with massive antisymmetric and fundamental hypermultiplets. Whenever possible we compare our results expressed in the form of ALE fibrations with those obtained by geometric engineering and brane dynamics, and find a remarkable agreement. We also show that these results are reproduced by using N=1 confining phase superpotentials. |
1306.2970 | Olaf Hohm | Olaf Hohm, Warren Siegel and Barton Zwiebach | Doubled \alpha'-Geometry | 54 pages, v2: version published in JHEP | JHEP02(2014)065 | 10.1007/JHEP02(2014)065 | LMU-ASC 39/13, MIT-CTP-4467, YITP-SB-13-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop doubled-coordinate field theory to determine the \alpha'
corrections to the massless sector of oriented bosonic closed string theory.
Our key tool is a string current algebra of free left-handed bosons that makes
O(D,D) T-duality manifest. While T-dualities are unchanged, diffeomorphisms and
b-field gauge transformations receive corrections, with a gauge algebra given
by an \alpha'-deformation of the duality-covariantized Courant bracket. The
action is cubic in a double metric field, an unconstrained extension of the
generalized metric that encodes the gravitational fields. Our approach provides
a consistent truncation of string theory to massless fields with corrections
that close at finite order in \alpha'.
| [
{
"created": "Wed, 12 Jun 2013 20:33:41 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Mar 2014 00:49:34 GMT",
"version": "v2"
}
] | 2015-06-16 | [
[
"Hohm",
"Olaf",
""
],
[
"Siegel",
"Warren",
""
],
[
"Zwiebach",
"Barton",
""
]
] | We develop doubled-coordinate field theory to determine the \alpha' corrections to the massless sector of oriented bosonic closed string theory. Our key tool is a string current algebra of free left-handed bosons that makes O(D,D) T-duality manifest. While T-dualities are unchanged, diffeomorphisms and b-field gauge transformations receive corrections, with a gauge algebra given by an \alpha'-deformation of the duality-covariantized Courant bracket. The action is cubic in a double metric field, an unconstrained extension of the generalized metric that encodes the gravitational fields. Our approach provides a consistent truncation of string theory to massless fields with corrections that close at finite order in \alpha'. |
1005.1786 | Joseph A. Minahan | J. A. Minahan, O. Ohlsson Sax, C. Sieg | A limit on the ABJ model | 5 pages; Proceedings of Quantum Theory and Symmetries 6, (Lexington,
KY, USA, July 2009); v2 Fixed one expression | null | null | UUITP-18/10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | There is a large amount of evidence that the ABJM model is integrable in the
planar limit. Less clear is whether or not the ABJ model is integrable. Here we
investigate a limit of the ABJ model in the weak coupling limit where one 't
Hooft parameter is much greater than the other. At the 4 loop level in the
SU(2) x SU(2) sector the anomalous dimensions of single trace operators map to
two Heisenberg spin chains with nearest neighbor interactions with an overall
coefficient that is a function of one of the 't Hooft parameters. We conjecture
the form of this function and show that is consistent with observations about
the ABJ model concerning unitarity and parity, including strong coupling
statements.
| [
{
"created": "Tue, 11 May 2010 10:10:53 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jul 2012 17:39:44 GMT",
"version": "v2"
}
] | 2012-07-30 | [
[
"Minahan",
"J. A.",
""
],
[
"Sax",
"O. Ohlsson",
""
],
[
"Sieg",
"C.",
""
]
] | There is a large amount of evidence that the ABJM model is integrable in the planar limit. Less clear is whether or not the ABJ model is integrable. Here we investigate a limit of the ABJ model in the weak coupling limit where one 't Hooft parameter is much greater than the other. At the 4 loop level in the SU(2) x SU(2) sector the anomalous dimensions of single trace operators map to two Heisenberg spin chains with nearest neighbor interactions with an overall coefficient that is a function of one of the 't Hooft parameters. We conjecture the form of this function and show that is consistent with observations about the ABJ model concerning unitarity and parity, including strong coupling statements. |
hep-th/9508028 | Cai Yu | Yu Cai (ITP-AS), Han-Ying Guo (ITP-AS), Dao-Neng Gao (USTC) | Intrinsic Regularization Method in QCD | 18 pages, LaTeX , 7 figures in a separate compressed postscript file | Commun.Theor.Phys. 28 (1997) 455-462 | null | AS-ITP-95-24 | hep-th | null | There exist certain intrinsic relations between the ultraviolet divergent
graphs and the convergent ones at the same loop order in renormalizable quantum
field theories. Whereupon we may establish a new method, the intrinsic
regularization method, to regularize those divergent graphs. In this paper, we
apply this method to QCD at the one loop order. It turns out to be
satisfactory:The gauge invariance is preserved manifestly and the results are
the same as those derived by means of other regularization methods.
| [
{
"created": "Mon, 7 Aug 1995 04:48:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cai",
"Yu",
"",
"ITP-AS"
],
[
"Guo",
"Han-Ying",
"",
"ITP-AS"
],
[
"Gao",
"Dao-Neng",
"",
"USTC"
]
] | There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we may establish a new method, the intrinsic regularization method, to regularize those divergent graphs. In this paper, we apply this method to QCD at the one loop order. It turns out to be satisfactory:The gauge invariance is preserved manifestly and the results are the same as those derived by means of other regularization methods. |
hep-th/9812217 | Jerzy Przeszowski | Jerzy A. Przeszowski (IFTR PAC, Warsaw) | Canonical Quantization for the Light-Front Weyl Gauge | 18 pages, no figures | null | null | null | hep-th | null | The canonical quantization on a single light front is performed for the
Abelian gauge fields with the Weyl gauge coupled with fermion field currents.
The analysis is carried separately for 1+1 dimensions and for higher
dimensions. The Gauss law, implemented weakly as the condition on states,
selects physical subspace with the Poincare covariance recovered. The
perturbative gauge field propagators are found with the ML prescription for
their spurious poles. The LF Feynman rules are found and their equivalence with
the usual equal-time perturbation for the S-matrix elements is studied for all
orders.
| [
{
"created": "Wed, 23 Dec 1998 10:19:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Przeszowski",
"Jerzy A.",
"",
"IFTR PAC, Warsaw"
]
] | The canonical quantization on a single light front is performed for the Abelian gauge fields with the Weyl gauge coupled with fermion field currents. The analysis is carried separately for 1+1 dimensions and for higher dimensions. The Gauss law, implemented weakly as the condition on states, selects physical subspace with the Poincare covariance recovered. The perturbative gauge field propagators are found with the ML prescription for their spurious poles. The LF Feynman rules are found and their equivalence with the usual equal-time perturbation for the S-matrix elements is studied for all orders. |
hep-th/9409055 | Charilaos Aneziris | Charilaos Aneziris | Towards a Classification of Knots | 7 pages, Talk given at the 28th International Symposium on the Theory
of Elementary Particles, Wendisch-Rietz, August 30-September 3, 1994 | null | null | null | hep-th math.QA | null | We discuss the possibility of the existence of finite algorithms that may
give distinct knot classes. In particular we present two attempts for such
algorithms which seem promising, one based on knot projections on a plane, the
other on placing knots on a cubic lattice.
| [
{
"created": "Sat, 10 Sep 1994 19:12:39 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Aneziris",
"Charilaos",
""
]
] | We discuss the possibility of the existence of finite algorithms that may give distinct knot classes. In particular we present two attempts for such algorithms which seem promising, one based on knot projections on a plane, the other on placing knots on a cubic lattice. |
1011.5945 | Tomas Rube | Renata Kallosh, Andrei Linde and Tomas Rube | General inflaton potentials in supergravity | 6 pages | Phys.Rev.D83:043507,2011 | 10.1103/PhysRevD.83.043507 | null | hep-th astro-ph.HE gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a way to construct supergravity models with an arbitrary inflaton
potential V ({\phi}) and show that all other scalar fields in this class of
models can be stabilized at the inflationary trajectory by a proper choice of
the K\"ahler potential.
| [
{
"created": "Sat, 27 Nov 2010 01:59:53 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2010 07:36:15 GMT",
"version": "v2"
}
] | 2011-02-18 | [
[
"Kallosh",
"Renata",
""
],
[
"Linde",
"Andrei",
""
],
[
"Rube",
"Tomas",
""
]
] | We describe a way to construct supergravity models with an arbitrary inflaton potential V ({\phi}) and show that all other scalar fields in this class of models can be stabilized at the inflationary trajectory by a proper choice of the K\"ahler potential. |
2209.09997 | Adel Rahman | Adel A. Rahman | dS JT Gravity and Double-Scaled SYK | 33 + 7 pages, 12 figures; V2: minor corrections to section 5 (results
unchanged), added figure, removed appendix | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | This paper pushes forward a conjecture made in [1] that a high-temperature
double-scaled limit of the SYK model ($\mathrm{DSSYK}_{\infty}$) describes a de
Sitter-like space. We identify a specific bulk theory which we conjecture to be
dual to $\mathrm{DSSYK}_{\infty}$, namely JT gravity with positive cosmological
constant (dS-JT). We focus our attention on a specific solution of dS-JT in
which spacetime is a particular bounded submanifold of dS$_2$ and the profile
of the dilaton coincides with that of the radial coordinate of a static patch.
This solution can be understood as a dimensional reduction of dS$_3$ and was
previously studied by [2] in a context different than ours. We describe the
geometry of this solution in detail and discuss some ways in which the physics
of this solution matches known physics of $\mathrm{DSSYK}_{\infty}$. We
describe an example of holographic bulk emergence and find a new role for the
timescale $t_* \sim \beta_{\mathrm{GH}}\log(S)$ as the timescale governing this
emergence. We discuss some constraints on the boundary-to-bulk operator
mapping. This paper provides additional background and context for a companion
paper [3] by L. Susskind, which will appear simultaneously.
| [
{
"created": "Tue, 20 Sep 2022 21:08:27 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Mar 2024 20:55:19 GMT",
"version": "v2"
}
] | 2024-03-07 | [
[
"Rahman",
"Adel A.",
""
]
] | This paper pushes forward a conjecture made in [1] that a high-temperature double-scaled limit of the SYK model ($\mathrm{DSSYK}_{\infty}$) describes a de Sitter-like space. We identify a specific bulk theory which we conjecture to be dual to $\mathrm{DSSYK}_{\infty}$, namely JT gravity with positive cosmological constant (dS-JT). We focus our attention on a specific solution of dS-JT in which spacetime is a particular bounded submanifold of dS$_2$ and the profile of the dilaton coincides with that of the radial coordinate of a static patch. This solution can be understood as a dimensional reduction of dS$_3$ and was previously studied by [2] in a context different than ours. We describe the geometry of this solution in detail and discuss some ways in which the physics of this solution matches known physics of $\mathrm{DSSYK}_{\infty}$. We describe an example of holographic bulk emergence and find a new role for the timescale $t_* \sim \beta_{\mathrm{GH}}\log(S)$ as the timescale governing this emergence. We discuss some constraints on the boundary-to-bulk operator mapping. This paper provides additional background and context for a companion paper [3] by L. Susskind, which will appear simultaneously. |
1903.06832 | Alexander Breev | A.I. Breev, S.P. Gavrilov, D.M. Gitman | Spinor field singular functions in QED with strong external backgrounds | 25 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct and study singular functions in strong-field $QED$ with two
external electromagnetic fields that represent principally different types of
external backgrounds, the first one belongs to the class of so-called
$t$-potential electric steps (electric-like fields that are switched on and off
at initial and final time instants), and the second one belongs to the class of
so-called $x$-potential electric steps (time-independent electric-like fields
of constant direction that are concentrated in a restricted spatial area). As
the first background ($T$-constant electric field) is chosen an uniform
electric field which acts during a finite time interval $T$ , whereas as the
second background ($L$-constant electric field) is chosen a constant electric
field confined between two capacitor plates separated by a large distance $L$.
For the both cases we find \textrm{in}- and \textrm{out}-solutions of the Dirac
equation in terms of light cone variables. With the help of these solutions, we
construct Fock-Schwinger proper-time integral representations for all the
singular functions that provide nonperturbative (with respect to the external
backgrounds) calculations of any transition amplitudes and mean values of any
physical quantities. Considering calculations in the $T$-constant field and in
the $L$-constant field as different regularizations of the corresponding
calculations in the constant uniform electric field, we have demonstrated their
equivalence for sufficiently large $T$ and $L$.
| [
{
"created": "Fri, 15 Mar 2019 22:55:56 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Aug 2021 18:28:37 GMT",
"version": "v2"
}
] | 2021-08-13 | [
[
"Breev",
"A. I.",
""
],
[
"Gavrilov",
"S. P.",
""
],
[
"Gitman",
"D. M.",
""
]
] | We construct and study singular functions in strong-field $QED$ with two external electromagnetic fields that represent principally different types of external backgrounds, the first one belongs to the class of so-called $t$-potential electric steps (electric-like fields that are switched on and off at initial and final time instants), and the second one belongs to the class of so-called $x$-potential electric steps (time-independent electric-like fields of constant direction that are concentrated in a restricted spatial area). As the first background ($T$-constant electric field) is chosen an uniform electric field which acts during a finite time interval $T$ , whereas as the second background ($L$-constant electric field) is chosen a constant electric field confined between two capacitor plates separated by a large distance $L$. For the both cases we find \textrm{in}- and \textrm{out}-solutions of the Dirac equation in terms of light cone variables. With the help of these solutions, we construct Fock-Schwinger proper-time integral representations for all the singular functions that provide nonperturbative (with respect to the external backgrounds) calculations of any transition amplitudes and mean values of any physical quantities. Considering calculations in the $T$-constant field and in the $L$-constant field as different regularizations of the corresponding calculations in the constant uniform electric field, we have demonstrated their equivalence for sufficiently large $T$ and $L$. |
hep-th/9405024 | Tomasz Taylor | I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor | Effective Mu-Term in Superstring Theory | 28 pages (LaTeX, 2 figures attached as uuencoded ps files), NUB-3084
- IC/94/72 - CPTH-A282.0194, to appear in Nuclear Physics B (revised version
contains modifications due to the presence of extra massless states at some
special points of the moduli space in orbifold models) | Nucl.Phys.B432:187-204,1994 | 10.1016/0550-3213(94)90599-1 | null | hep-th hep-ph | null | In four-dimensional compactifications of the heterotic superstring theory the
K\"ahler potential has a form which generically induces a superpotential mass
term for Higgs particles once supersymmetry is broken at low energies. This
``$\mu$-term'' is analyzed in a model-independent way at the tree level and in
the one-loop approximation, and explicit expressions are obtained for orbifold
compactifications. Additional contributions which arise in the case of
supersymmetry breaking induced by gaugino condensation are also discussed.
| [
{
"created": "Wed, 4 May 1994 14:12:20 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 1994 15:35:59 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Oct 1994 15:16:00 GMT",
"version": "v3"
}
] | 2010-11-01 | [
[
"Antoniadis",
"I.",
""
],
[
"Gava",
"E.",
""
],
[
"Narain",
"K. S.",
""
],
[
"Taylor",
"T. R.",
""
]
] | In four-dimensional compactifications of the heterotic superstring theory the K\"ahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies. This ``$\mu$-term'' is analyzed in a model-independent way at the tree level and in the one-loop approximation, and explicit expressions are obtained for orbifold compactifications. Additional contributions which arise in the case of supersymmetry breaking induced by gaugino condensation are also discussed. |
hep-th/0110082 | Eugenio Ramos B. de Mello | F. Carvalho and E. R. Bezerra de Mello | Vacuum Polarization for a Massless Spin-1/2 Field in the Global Monopole
Spacetime at Nonzero Temperature | 22 pages, LaTex format, 5 figures | Class.Quant.Grav. 18 (2001) 5455-5468 | 10.1088/0264-9381/18/24/310 | null | hep-th | null | In this paper we present the effects produced by the temperature in the
renormalized vacuum expectation value of the zero-zero component of the
energy-momentum tensor associated with massless left-handed spinor field in the
pointlike global monopole spacetime. In order to develop this calculation we
had to obtain the Euclidean thermal Green function in this background. Because
the expression obtained for the thermal energy density cannot be expressed in a
closed form, its explicit dependence on the temperature is not completely
evident. So, in order to obtain concrete information about its thermal
behavior, we develop a numerical analysis of our result in the high-temperature
limit for specific values of the parameter $\alpha$ which codify the presence
of the monopole.
| [
{
"created": "Tue, 9 Oct 2001 13:18:01 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Carvalho",
"F.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] | In this paper we present the effects produced by the temperature in the renormalized vacuum expectation value of the zero-zero component of the energy-momentum tensor associated with massless left-handed spinor field in the pointlike global monopole spacetime. In order to develop this calculation we had to obtain the Euclidean thermal Green function in this background. Because the expression obtained for the thermal energy density cannot be expressed in a closed form, its explicit dependence on the temperature is not completely evident. So, in order to obtain concrete information about its thermal behavior, we develop a numerical analysis of our result in the high-temperature limit for specific values of the parameter $\alpha$ which codify the presence of the monopole. |
1011.2135 | Qasem Exirifard | Qasem Exirifard | Matrix Model for membrane and dynamics of D-Particles in a curved
space-time geometry and presence of form fields | in Persian, MS thesis submitted to IASBS in September 2002 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study dynamics of a membrane and its matrix regularisation. We present the
matrix regularisation for a membrane propagating in a curved space-time
geometry in the presence of an arbitrary 3-form field. In the matrix
regularisation, we then study the dynamics of D-particles. We show how the
Riemann curvature of the target space-time geometry, or any other form fields
can polarise the D-Particles, cause entanglement among them and create fuzzy
solutions. We review the fuzzy sphere and we present fuzzy hyperbolic and
ellipsoid solutions.
| [
{
"created": "Tue, 9 Nov 2010 16:28:10 GMT",
"version": "v1"
}
] | 2010-11-10 | [
[
"Exirifard",
"Qasem",
""
]
] | We study dynamics of a membrane and its matrix regularisation. We present the matrix regularisation for a membrane propagating in a curved space-time geometry in the presence of an arbitrary 3-form field. In the matrix regularisation, we then study the dynamics of D-particles. We show how the Riemann curvature of the target space-time geometry, or any other form fields can polarise the D-Particles, cause entanglement among them and create fuzzy solutions. We review the fuzzy sphere and we present fuzzy hyperbolic and ellipsoid solutions. |
1502.00228 | Jelle Hartong | Jelle Hartong, Elias Kiritsis, Niels A. Obers | Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz
Vacuum | 55 pages + 2 appendices | null | 10.1007/JHEP08(2015)006 | CCTP-2015-05, CCQCN-2015-64 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Holography for Lifshitz space-times corresponds to dual field theories on a
fixed torsional Newton-Cartan (TNC) background. We examine the coupling of
non-relativistic field theories to TNC backgrounds and uncover a novel
mechanism by which a global U(1) can become local. This involves the TNC vector
$M_\mu$ which sources a particle number current, and which for flat NC
space-time satisfies $M_{\mu}=\partial_{\mu}M$ with a Schroedinger symmetry
realized on $M$. We discuss various toy model field theories on flat NC
space-time for which the new mechanism leads to extra global space-time
symmetries beyond the generic Lifshitz symmetry, allowing for an enhancement to
Schroedinger symmetry. On the holographic side, the source $M$ also appears in
the Lifshitz vacuum with exactly the same properties as for flat NC space-time.
In particular, the bulk diffeomorphisms that preserve the boundary conditions
realize a Schroedinger algebra on $M$, allowing for a conserved particle number
current. Finally, we present a probe action for a complex scalar field on the
Lifshitz vacuum, which exhibits Schroedinger invariance in the same manner as
seen in the field theory models.
| [
{
"created": "Sun, 1 Feb 2015 10:34:17 GMT",
"version": "v1"
}
] | 2015-09-02 | [
[
"Hartong",
"Jelle",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Obers",
"Niels A.",
""
]
] | Holography for Lifshitz space-times corresponds to dual field theories on a fixed torsional Newton-Cartan (TNC) background. We examine the coupling of non-relativistic field theories to TNC backgrounds and uncover a novel mechanism by which a global U(1) can become local. This involves the TNC vector $M_\mu$ which sources a particle number current, and which for flat NC space-time satisfies $M_{\mu}=\partial_{\mu}M$ with a Schroedinger symmetry realized on $M$. We discuss various toy model field theories on flat NC space-time for which the new mechanism leads to extra global space-time symmetries beyond the generic Lifshitz symmetry, allowing for an enhancement to Schroedinger symmetry. On the holographic side, the source $M$ also appears in the Lifshitz vacuum with exactly the same properties as for flat NC space-time. In particular, the bulk diffeomorphisms that preserve the boundary conditions realize a Schroedinger algebra on $M$, allowing for a conserved particle number current. Finally, we present a probe action for a complex scalar field on the Lifshitz vacuum, which exhibits Schroedinger invariance in the same manner as seen in the field theory models. |
1604.08366 | Andrei Mironov | Hidetoshi Awata, Hiroaki Kanno, Takuya Matsumoto, Andrei Mironov,
Alexei Morozov, Andrey Morozov, Yusuke Ohkubo, Yegor Zenkevich | Explicit examples of DIM constraints for network matrix models | 46 pages | Journal of High Energy Physics, 07 (2016) 1-67 | 10.1007/JHEP07(2016)103 | FIAN/TD-09/16; IITP/TH-06/16; ITEP/TH-08/16; INR-TH-2016-011 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov
functions for SYM theories in different dimensions, are all incorporated into
network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This
lifting is especially simple for what we call balanced networks. Then, the Ward
identities (known under the names of Virasoro/W-constraints or loop equations
or regularity condition for qq-characters) are also promoted to the DIM level,
where they all become corollaries of a single identity.
| [
{
"created": "Thu, 28 Apr 2016 10:23:21 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2016 06:43:52 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Dec 2016 18:28:12 GMT",
"version": "v3"
}
] | 2016-12-05 | [
[
"Awata",
"Hidetoshi",
""
],
[
"Kanno",
"Hiroaki",
""
],
[
"Matsumoto",
"Takuya",
""
],
[
"Mironov",
"Andrei",
""
],
[
"Morozov",
"Alexei",
""
],
[
"Morozov",
"Andrey",
""
],
[
"Ohkubo",
"Yusuke",
""
],
... | Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/W-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity. |
2311.09427 | Amitabh Virmani | Subramanya Hegde, Amitabh Virmani | Killing Spinors for Finite Temperature Euclidean Solutions at the BPS
Bound | 28 pages, no figures; v2: refs + comments added, version to appear in
JHEP | JHEP 02 (2024) 203 | 10.1007/JHEP02(2024)203 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper [arXiv:2308.00038], Anupam, Chowdhury, and Sen conjectured
that the finite temperature Euclidean five-dimensional Cvetic-Youm solution
saturating the BPS bound is supersymmetric. In this paper, we explicitly
construct Killing spinors for this solution in five-dimensional minimal
supergravity. We also expand on the previous discussions of Killing spinors for
the finite temperature Euclidean Kerr-Newman solution saturating the BPS bound.
For both these cases, we show that the total charge gets divided into two
harmonic sources on three-dimensional flat base space.
| [
{
"created": "Wed, 15 Nov 2023 22:54:47 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Feb 2024 13:39:57 GMT",
"version": "v2"
}
] | 2024-07-26 | [
[
"Hegde",
"Subramanya",
""
],
[
"Virmani",
"Amitabh",
""
]
] | In a recent paper [arXiv:2308.00038], Anupam, Chowdhury, and Sen conjectured that the finite temperature Euclidean five-dimensional Cvetic-Youm solution saturating the BPS bound is supersymmetric. In this paper, we explicitly construct Killing spinors for this solution in five-dimensional minimal supergravity. We also expand on the previous discussions of Killing spinors for the finite temperature Euclidean Kerr-Newman solution saturating the BPS bound. For both these cases, we show that the total charge gets divided into two harmonic sources on three-dimensional flat base space. |
1810.05349 | Hisham Sati | Hisham Sati, Matthew Wheeler | Topological actions via gauge variations of higher structures | References and material on the heterotic case added, published
version. arXiv admin note: text overlap with arXiv:1612.06983 | Phys. Lett. B789 (2019), 114-118 | 10.1016/j.physletb.2018.12.012 | null | hep-th math-ph math.AT math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we provide a new perspective on the topological parts of several
action functionals in string and M-theory. We show that rationally these can be
viewed as large gauge transformations corresponding to variations of higher
structures, such as String, Fivebrane, and Ninebrane structures.
| [
{
"created": "Fri, 12 Oct 2018 04:16:06 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Mar 2019 02:20:12 GMT",
"version": "v2"
}
] | 2019-04-02 | [
[
"Sati",
"Hisham",
""
],
[
"Wheeler",
"Matthew",
""
]
] | In this note we provide a new perspective on the topological parts of several action functionals in string and M-theory. We show that rationally these can be viewed as large gauge transformations corresponding to variations of higher structures, such as String, Fivebrane, and Ninebrane structures. |
hep-th/0010232 | Harvey S. Reall | S.W. Hawking, T. Hertog and H.S. Reall | Trace anomaly driven inflation | LaTeX, 42 pages, 5 .eps figures. v2: typos corrected, references
added and 2 new paragraphs in conclusions section. v3: comments about strong
coupling and unboundedness of action changed, other minor changes. v4:
Comments about strong coupling changed again (2-point functions of metric
perturbations do not depend on Yang-Mills coupling) | Phys.Rev. D63 (2001) 083504 | 10.1103/PhysRevD.63.083504 | DAMTP-2000-92, QMW-PH/00-10 | hep-th astro-ph gr-qc hep-ph | null | This paper investigates Starobinsky's model of inflation driven by the trace
anomaly of conformally coupled matter fields. This model does not suffer from
the problem of contrived initial conditions that occurs in most models of
inflation driven by a scalar field. The universe can be nucleated
semi-classically by a cosmological instanton that is much larger than the
Planck scale provided there are sufficiently many matter fields. There are two
cosmological instantons: the four sphere and a new ``double bubble'' solution.
This paper considers a universe nucleated by the four sphere. The AdS/CFT
correspondence is used to calculate the correlation function for scalar and
tensor metric perturbations during the ensuing de Sitter phase. The analytic
structure of the scalar and tensor propagators is discussed in detail.
Observational constraints on the model are discussed. Quantum loops of matter
fields are shown to strongly suppress short scale metric perturbations, which
implies that short distance modifications of gravity would probably not be
observable in the cosmic microwave background. This is probably true for any
model of inflation provided there are sufficiently many matter fields. This
point is illustrated by a comparison of anomaly driven inflation in four
dimensions and in a Randall-Sundrum brane-world model.
| [
{
"created": "Wed, 25 Oct 2000 17:14:46 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2000 14:03:03 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jan 2001 12:05:45 GMT",
"version": "v3"
},
{
"created": "Fri, 26 Jan 2001 12:58:49 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Hawking",
"S. W.",
""
],
[
"Hertog",
"T.",
""
],
[
"Reall",
"H. S.",
""
]
] | This paper investigates Starobinsky's model of inflation driven by the trace anomaly of conformally coupled matter fields. This model does not suffer from the problem of contrived initial conditions that occurs in most models of inflation driven by a scalar field. The universe can be nucleated semi-classically by a cosmological instanton that is much larger than the Planck scale provided there are sufficiently many matter fields. There are two cosmological instantons: the four sphere and a new ``double bubble'' solution. This paper considers a universe nucleated by the four sphere. The AdS/CFT correspondence is used to calculate the correlation function for scalar and tensor metric perturbations during the ensuing de Sitter phase. The analytic structure of the scalar and tensor propagators is discussed in detail. Observational constraints on the model are discussed. Quantum loops of matter fields are shown to strongly suppress short scale metric perturbations, which implies that short distance modifications of gravity would probably not be observable in the cosmic microwave background. This is probably true for any model of inflation provided there are sufficiently many matter fields. This point is illustrated by a comparison of anomaly driven inflation in four dimensions and in a Randall-Sundrum brane-world model. |
1508.06993 | Matthias Kaminski | Stefan Janiszewski and Matthias Kaminski | Quasinormal modes of magnetic and electric black branes versus far from
equilibrium anisotropic fluids | v2 (published in Phys. Rev. D): 46 pages, 12 figures, 8 tables, added
vector modes for RN AdS5 case, extended discussion of previous results in
introduction, additional ancillary files included; v1: 43 pages, 11 figures,
7 tables, 2 Mathematica notebooks | Phys. Rev. D 93, 025006 (2016) | 10.1103/PhysRevD.93.025006 | null | hep-th gr-qc nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Detailed knowledge about equilibration processes is of interest for various
fields of physics, including heavy ion collision experiments and quantum
quenched condensed matter systems. We study the approach to equilibrium at late
times within two types of strongly coupled thermal systems in 3+1 dimensions:
systems in the presence of (i) a non-zero charge density, or (ii) a magnetic
field at vanishing charge density. Utilizing the gauge/gravity correspondence,
we map the aforementioned problem to the computation of quasinormal frequencies
around two particular classes of black branes within the Einstein-Maxwell
theory. We compute (i) the tensor and vector quasinormal modes of
Reissner-Nordstr\"om black branes and (ii) the scalar, as well as tensor
quasinormal modes of magnetic black branes. Some of these quasinormal modes
correspond to the late-time relaxation of the above systems after starting with
initial pressure anisotropy. We provide benchmarks which need to be matched at
late-times by all holographic thermalization codes with the appropriate
symmetries.
| [
{
"created": "Thu, 27 Aug 2015 20:08:07 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jan 2016 02:33:21 GMT",
"version": "v2"
}
] | 2016-01-19 | [
[
"Janiszewski",
"Stefan",
""
],
[
"Kaminski",
"Matthias",
""
]
] | Detailed knowledge about equilibration processes is of interest for various fields of physics, including heavy ion collision experiments and quantum quenched condensed matter systems. We study the approach to equilibrium at late times within two types of strongly coupled thermal systems in 3+1 dimensions: systems in the presence of (i) a non-zero charge density, or (ii) a magnetic field at vanishing charge density. Utilizing the gauge/gravity correspondence, we map the aforementioned problem to the computation of quasinormal frequencies around two particular classes of black branes within the Einstein-Maxwell theory. We compute (i) the tensor and vector quasinormal modes of Reissner-Nordstr\"om black branes and (ii) the scalar, as well as tensor quasinormal modes of magnetic black branes. Some of these quasinormal modes correspond to the late-time relaxation of the above systems after starting with initial pressure anisotropy. We provide benchmarks which need to be matched at late-times by all holographic thermalization codes with the appropriate symmetries. |
1912.03124 | Amitabha Lahiri | Shantonu Mukherjee and Amitabha Lahiri | Emergent vortex-electron interaction from dualization | Accepted version to be published in Annals of Physics | null | 10.1016/j.aop.2020.168167 | null | hep-th cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Abelian Higgs model in 3+1 dimensions with vortex lines, into
which charged fermions are introduced. This could be viewed as a model of a
type-II superconductor with unpaired electrons (or holes), analogous to the
boson-fermion model of high-$T_c$ superconductors but one in which the bosons
and fermions interact only through the electromagnetic gauge field. We
investigate the dual formulation of this model, which is in terms of a massive
antisymmetric tensor gauge field $B_{\mu\nu}$ mediating the interaction of the
vortex lines. This field couples to the fermions through a nonlocal spin-gauge
interaction term. We then calculate the quantum correction due to the fermions
at one loop and show that due to the presence of this new nonlocal term a
topological $B \wedge F$ interaction is induced in the effective action,
leading to an increase in the mass of both the photon and the tensor gauge
field. Additionally, we find a Coulomb potential between the electrons, but
with a large dielectric constant generated by the one-loop effects.
| [
{
"created": "Fri, 6 Dec 2019 13:54:36 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Jan 2020 09:58:01 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Apr 2020 05:45:51 GMT",
"version": "v3"
}
] | 2020-07-15 | [
[
"Mukherjee",
"Shantonu",
""
],
[
"Lahiri",
"Amitabha",
""
]
] | We consider the Abelian Higgs model in 3+1 dimensions with vortex lines, into which charged fermions are introduced. This could be viewed as a model of a type-II superconductor with unpaired electrons (or holes), analogous to the boson-fermion model of high-$T_c$ superconductors but one in which the bosons and fermions interact only through the electromagnetic gauge field. We investigate the dual formulation of this model, which is in terms of a massive antisymmetric tensor gauge field $B_{\mu\nu}$ mediating the interaction of the vortex lines. This field couples to the fermions through a nonlocal spin-gauge interaction term. We then calculate the quantum correction due to the fermions at one loop and show that due to the presence of this new nonlocal term a topological $B \wedge F$ interaction is induced in the effective action, leading to an increase in the mass of both the photon and the tensor gauge field. Additionally, we find a Coulomb potential between the electrons, but with a large dielectric constant generated by the one-loop effects. |
1008.0808 | Ken D. Olum | Matthew Davenport and Ken D. Olum | Are there Boltzmann brains in the vacuum | 8 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | "Boltzmann brains" are human brains that arise as thermal or quantum
fluctuations and last at least long enough to think a few thoughts. In many
scenarios involving universes of infinite size or duration, Boltzmann brains
are infinitely more common than human beings who arise in the ordinary way.
Thus we should expect to be Boltzmann brains, in contradiction to observation.
We discuss here the question of whether Boltzmann brains can arise as quantum
fluctuations in the vacuum. Such Boltzmann brains pose an even worse problem
than those arising as fluctuations in the thermal state of an exponentially
expanding universe. We give several arguments for and against inclusion of
vacuum Boltzmann brains in the anthropic reference class, but find neither
choice entirely satisfactory.
| [
{
"created": "Wed, 4 Aug 2010 16:03:25 GMT",
"version": "v1"
}
] | 2010-08-05 | [
[
"Davenport",
"Matthew",
""
],
[
"Olum",
"Ken D.",
""
]
] | "Boltzmann brains" are human brains that arise as thermal or quantum fluctuations and last at least long enough to think a few thoughts. In many scenarios involving universes of infinite size or duration, Boltzmann brains are infinitely more common than human beings who arise in the ordinary way. Thus we should expect to be Boltzmann brains, in contradiction to observation. We discuss here the question of whether Boltzmann brains can arise as quantum fluctuations in the vacuum. Such Boltzmann brains pose an even worse problem than those arising as fluctuations in the thermal state of an exponentially expanding universe. We give several arguments for and against inclusion of vacuum Boltzmann brains in the anthropic reference class, but find neither choice entirely satisfactory. |
2309.10031 | Edoardo Lauria El | Edoardo Lauria, Michael N. Milam, Balt C. van Rees | Perturbative RG flows in AdS: an \'etude | v3: published version | null | null | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We discuss general properties of perturbative RG flows in AdS with a focus on
the treatment of boundary conditions and infrared divergences. In contrast with
flat-space boundary QFT, general covariance in AdS implies the absence of
independent boundary flows. We illustrate how boundary correlation functions
remain conformally covariant even if the bulk QFT has a scale. We apply our
general discussion to the RG flow between consecutive unitary diagonal minimal
models which is triggered by the $\phi_{(1,3)}$ operator. For these theories we
conjecture a flow diagram whose form is significantly simpler than that in
flat-space boundary QFT. In several stand-alone appendices we discuss
two-dimensional BCFTs in general and the minimal model BCFTs in particular.
These include both an extensive review as well as the computation of several
new BCFT correlation functions.
| [
{
"created": "Mon, 18 Sep 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2023 19:22:06 GMT",
"version": "v2"
},
{
"created": "Sat, 2 Mar 2024 13:30:34 GMT",
"version": "v3"
}
] | 2024-03-05 | [
[
"Lauria",
"Edoardo",
""
],
[
"Milam",
"Michael N.",
""
],
[
"van Rees",
"Balt C.",
""
]
] | We discuss general properties of perturbative RG flows in AdS with a focus on the treatment of boundary conditions and infrared divergences. In contrast with flat-space boundary QFT, general covariance in AdS implies the absence of independent boundary flows. We illustrate how boundary correlation functions remain conformally covariant even if the bulk QFT has a scale. We apply our general discussion to the RG flow between consecutive unitary diagonal minimal models which is triggered by the $\phi_{(1,3)}$ operator. For these theories we conjecture a flow diagram whose form is significantly simpler than that in flat-space boundary QFT. In several stand-alone appendices we discuss two-dimensional BCFTs in general and the minimal model BCFTs in particular. These include both an extensive review as well as the computation of several new BCFT correlation functions. |
2112.13853 | Achilleas Porfyriadis | Achilleas P. Porfyriadis, Grant N. Remmen | Large Diffeomorphisms and Accidental Symmetry of the Extremal Horizon | 20 pages | JHEP 2203:107,2022 | 10.1007/JHEP03(2022)107 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover a symmetry of the linear Einstein equations near extremal
horizons. Specifically, acting with a spherically symmetric linearized
diffeomorphism on the perturbative solutions to the Einstein-Maxwell equations
in the Bertotti-Robinson background, but not acting on the background itself,
we find that there is a subset of such transformations under which the
equations of motion remain satisfied, with or without additional matter. This
represents an "accidental" symmetry in the sense that the set of
transformations realizing the mapping among solutions is strictly larger than
the ${\rm SL}(2)$ isometries of the background spacetime. We argue that our
accidental symmetry can be thought of as an on-shell large diffeomorphism of
${\rm AdS}_2$, which we support in the context of Jackiw-Teitelboim theory.
| [
{
"created": "Mon, 27 Dec 2021 19:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2022 11:41:16 GMT",
"version": "v2"
}
] | 2022-03-22 | [
[
"Porfyriadis",
"Achilleas P.",
""
],
[
"Remmen",
"Grant N.",
""
]
] | We uncover a symmetry of the linear Einstein equations near extremal horizons. Specifically, acting with a spherically symmetric linearized diffeomorphism on the perturbative solutions to the Einstein-Maxwell equations in the Bertotti-Robinson background, but not acting on the background itself, we find that there is a subset of such transformations under which the equations of motion remain satisfied, with or without additional matter. This represents an "accidental" symmetry in the sense that the set of transformations realizing the mapping among solutions is strictly larger than the ${\rm SL}(2)$ isometries of the background spacetime. We argue that our accidental symmetry can be thought of as an on-shell large diffeomorphism of ${\rm AdS}_2$, which we support in the context of Jackiw-Teitelboim theory. |
1707.05325 | Marc Gillioz | Marc Gillioz | Spontaneous conformal symmetry breaking and a massless Wu-Yang monopole | 17 pages + 7 pages appendix + references | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a
spacetime-dependent gauge coupling allows to study the breaking of conformal
symmetry at the quantum level. The theory has an energy-momentum tensor that is
only conserved if an equation of motion for the coupling is imposed. It admits
non-trivial solitons, among which the Wu-Yang monopole that can be regularized
and turns out to be massless. On the other hand, the ordinary BPS monopole is
only a solution in the large $N_c$ limit.
| [
{
"created": "Mon, 17 Jul 2017 18:00:03 GMT",
"version": "v1"
}
] | 2017-07-19 | [
[
"Gillioz",
"Marc",
""
]
] | A formulation of $\mathcal{N} = 2$ supersymmetric Yang-Mills theory with a spacetime-dependent gauge coupling allows to study the breaking of conformal symmetry at the quantum level. The theory has an energy-momentum tensor that is only conserved if an equation of motion for the coupling is imposed. It admits non-trivial solitons, among which the Wu-Yang monopole that can be regularized and turns out to be massless. On the other hand, the ordinary BPS monopole is only a solution in the large $N_c$ limit. |
1808.02727 | James Lucietti | James Lucietti | On the nonexistence of extreme anti-de Sitter black rings | 6 pages | Class. Quantum Grav. 35 (2018) 21LT01 | 10.1088/1361-6382/aae351 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that five-dimensional extreme anti-de Sitter black ring solutions to
the vacuum Einstein equations that admit biaxial symmetry do not exist. This is
established by demonstrating the nonexistence of five-dimensional,
biaxisymmetric, vacuum near-horizon geometries of extreme horizons with a
nonzero cosmological constant and ring topology.
| [
{
"created": "Wed, 8 Aug 2018 11:28:02 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2018 10:01:18 GMT",
"version": "v2"
}
] | 2018-10-09 | [
[
"Lucietti",
"James",
""
]
] | We prove that five-dimensional extreme anti-de Sitter black ring solutions to the vacuum Einstein equations that admit biaxial symmetry do not exist. This is established by demonstrating the nonexistence of five-dimensional, biaxisymmetric, vacuum near-horizon geometries of extreme horizons with a nonzero cosmological constant and ring topology. |
0902.0916 | Hristu Culetu | Hristu Culetu | Bjorken expansion in the isotropic Kasner spacetime | 5 pages, no figures, This paper received an Honorable Mention in the
Annual Essay Competition of the Gravity Research Foundation for the year
2009; version published in Eur. Phys. J. Plus (2011) 126: 126 | Eur. Phys. J. Plus (2011) 126: 126 | 10.1140/epjp/i2011-11126-5 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An isotropic expansion for the QGP is proposed in curved Kasner spacetime for
an experimental configuration with three dimensional set of beams. The fluid of
relativistic particles has no shear viscosity but the nonzero bulk viscosity
$\zeta$ is time dependent and its value could explain the enormous entropy per
baryon of our Universe. In addition, $\zeta$ equals the bulk viscosity of the
anisotropic compressible fluid conjectured for the interior of a black hole.
| [
{
"created": "Thu, 5 Feb 2009 14:58:26 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2009 12:56:21 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jan 2012 13:14:53 GMT",
"version": "v3"
}
] | 2012-01-06 | [
[
"Culetu",
"Hristu",
""
]
] | An isotropic expansion for the QGP is proposed in curved Kasner spacetime for an experimental configuration with three dimensional set of beams. The fluid of relativistic particles has no shear viscosity but the nonzero bulk viscosity $\zeta$ is time dependent and its value could explain the enormous entropy per baryon of our Universe. In addition, $\zeta$ equals the bulk viscosity of the anisotropic compressible fluid conjectured for the interior of a black hole. |
1702.08462 | Andrew Lucas | Yingfei Gu, Andrew Lucas, Xiao-Liang Qi | Energy diffusion and the butterfly effect in inhomogeneous
Sachdev-Ye-Kitaev chains | 10+4 pages, 3 figures; v2: added appendix | SciPost Phys. 2, 018 (2017) | 10.21468/SciPostPhys.2.3.018 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the energy diffusion constant $D$, Lyapunov time $\tau_{\text{L}}$
and butterfly velocity $v_{\text{B}}$ in an inhomogeneous chain of coupled
Majorana Sachdev-Ye-Kitaev (SYK) models in the large $N$ and strong coupling
limit. We find $D\le v_{\text{B}}^2 \tau_{\text{L}}$ from a combination of
analytical and numerical approaches. Our example necessitates the sharpening of
postulated transport bounds based on quantum chaos.
| [
{
"created": "Mon, 27 Feb 2017 19:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2017 17:07:03 GMT",
"version": "v2"
}
] | 2018-04-20 | [
[
"Gu",
"Yingfei",
""
],
[
"Lucas",
"Andrew",
""
],
[
"Qi",
"Xiao-Liang",
""
]
] | We compute the energy diffusion constant $D$, Lyapunov time $\tau_{\text{L}}$ and butterfly velocity $v_{\text{B}}$ in an inhomogeneous chain of coupled Majorana Sachdev-Ye-Kitaev (SYK) models in the large $N$ and strong coupling limit. We find $D\le v_{\text{B}}^2 \tau_{\text{L}}$ from a combination of analytical and numerical approaches. Our example necessitates the sharpening of postulated transport bounds based on quantum chaos. |
1509.00173 | Hideki Kyono | Takashi Kameyama, Hideki Kyono, Jun-ichi Sakamoto, and Kentaroh
Yoshida | Lax pairs on Yang-Baxter deformed backgrounds | 1+39 pages, v3: typos corrected and the reference [42] added | null | null | KUNS-2575 | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly derive Lax pairs for string theories on Yang-Baxter deformed
backgrounds, 1) gravity duals for noncommutative gauge theories, 2)
$\gamma$-deformations of S$^5$, 3) Schr\"odinger spacetimes and 4) abelian
twists of the global AdS$_5$\,. Then we can find out a concise derivation of
Lax pairs based on simple replacement rules. Furthermore, each of the above
deformations can be reinterpreted as a twisted periodic boundary conditions
with the undeformed background by using the rules. As another derivation, the
Lax pair for gravity duals for noncommutative gauge theories is reproduced from
the one for a $q$-deformed AdS$_5\times$S$^5$ by taking a scaling limit.
| [
{
"created": "Tue, 1 Sep 2015 08:20:55 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Sep 2015 10:08:55 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Oct 2015 07:33:03 GMT",
"version": "v3"
}
] | 2015-11-02 | [
[
"Kameyama",
"Takashi",
""
],
[
"Kyono",
"Hideki",
""
],
[
"Sakamoto",
"Jun-ichi",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) $\gamma$-deformations of S$^5$, 3) Schr\"odinger spacetimes and 4) abelian twists of the global AdS$_5$\,. Then we can find out a concise derivation of Lax pairs based on simple replacement rules. Furthermore, each of the above deformations can be reinterpreted as a twisted periodic boundary conditions with the undeformed background by using the rules. As another derivation, the Lax pair for gravity duals for noncommutative gauge theories is reproduced from the one for a $q$-deformed AdS$_5\times$S$^5$ by taking a scaling limit. |
hep-th/0403061 | Tianjun Li | Mirjam Cvetic, Tianjun Li, Tao Liu | Supersymmetric Pati-Salam Models from Intersecting D6-branes: A Road to
the Standard Model | RevTeX4, 48 pages, 18 tables, typos fixed, added comments on
confinement of massless chiral exotics, accepted for publication in Nucl.
Phys. B | Nucl.Phys.B698:163-201,2004 | 10.1016/j.nuclphysb.2004.07.036 | null | hep-th hep-ph | null | We provide a systematic construction of three-family N=1 supersymmetric
Pati-Salam models from Type IIA orientifolds on $\IT^6/(\IZ_2\times \IZ_2)$
with intersecting D6-branes. All the gauge symmetry factors $SU(4)_C\times
SU(2)_L \times SU(2)_R$ arise from the stacks of D6-branes with U(n) gauge
symmetries, while the ``hidden sector'' is specified by $USp(n)$ branes,
parallel with the orientifold planes or their ${\bf Z_2}$ images. The
Pati-Salam gauge symmetry can be broken down to the $SU(3)_C\times
SU(2)_L\times U(1)_{B-L} \times U(1)_{I_{3R}}$ via D6-brane splittings, and
further down to the Standard Model via D- and F-flatness preserving Higgs
mechanism from massless open string states in a N=2 subsector. The models also
possess at least two confining hidden gauge sectors, where gaugino condensation
can in turn trigger supersymmetry breaking and (some) moduli stabilization. The
systematic search yields 11 inequivalent models: 8 models with less than 9
Standard model Higgs doublet-pairs and 1 model with only 2 Standard Model Higgs
doublet-pairs, 2 models possess at the string scale the gauge coupling
unification of $SU(2)_L$ and $SU(2)_R$, and all the models possess additional
exotic matters. We also make preliminary comments on phenomenological
implications of these models.
| [
{
"created": "Fri, 5 Mar 2004 20:14:34 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Mar 2004 03:44:48 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Oct 2004 16:04:10 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Li",
"Tianjun",
""
],
[
"Liu",
"Tao",
""
]
] | We provide a systematic construction of three-family N=1 supersymmetric Pati-Salam models from Type IIA orientifolds on $\IT^6/(\IZ_2\times \IZ_2)$ with intersecting D6-branes. All the gauge symmetry factors $SU(4)_C\times SU(2)_L \times SU(2)_R$ arise from the stacks of D6-branes with U(n) gauge symmetries, while the ``hidden sector'' is specified by $USp(n)$ branes, parallel with the orientifold planes or their ${\bf Z_2}$ images. The Pati-Salam gauge symmetry can be broken down to the $SU(3)_C\times SU(2)_L\times U(1)_{B-L} \times U(1)_{I_{3R}}$ via D6-brane splittings, and further down to the Standard Model via D- and F-flatness preserving Higgs mechanism from massless open string states in a N=2 subsector. The models also possess at least two confining hidden gauge sectors, where gaugino condensation can in turn trigger supersymmetry breaking and (some) moduli stabilization. The systematic search yields 11 inequivalent models: 8 models with less than 9 Standard model Higgs doublet-pairs and 1 model with only 2 Standard Model Higgs doublet-pairs, 2 models possess at the string scale the gauge coupling unification of $SU(2)_L$ and $SU(2)_R$, and all the models possess additional exotic matters. We also make preliminary comments on phenomenological implications of these models. |
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