id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9211115 | null | Patrick Dorey and Francesco Ravanini | Generalising the staircase models | 19 pages (and two figures), preprint CERN-TH.6739/92 NI92009
DFUB-92-21 | Nucl.Phys. B406 (1993) 708-726 | 10.1016/0550-3213(93)90007-C | null | hep-th | null | Systems of integral equations are proposed which generalise those previously
encountered in connection with the so-called staircase models. Under the
assumption that these equations describe the finite-size effects of
relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and
numerical evidence is given for the existence of a variety of new roaming
renormalisation group trajectories. For each positive integer $k$ and
$s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing
close by the coset conformal field theories $G^{(k)}\times
G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for
$s=0$, or to another coset model for $s \neq 0$.
| [
{
"created": "Tue, 24 Nov 1992 21:03:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Dorey",
"Patrick",
""
],
[
"Ravanini",
"Francesco",
""
]
] | Systems of integral equations are proposed which generalise those previously encountered in connection with the so-called staircase models. Under the assumption that these equations describe the finite-size effects of relativistic field theories via the Thermodynamic Bethe Ansatz, analytical and numerical evidence is given for the existence of a variety of new roaming renormalisation group trajectories. For each positive integer $k$ and $s=0,\dots, k-1$, there is a one-parameter family of trajectories, passing close by the coset conformal field theories $G^{(k)}\times G^{(nk+s)}/G^{((n+1)k+s)}$ before finally flowing to a massive theory for $s=0$, or to another coset model for $s \neq 0$. |
1404.2795 | Jan Vysoky | Branislav Jurco, Peter Schupp, Jan Vysoky | Extended generalized geometry and a DBI-type effective action for branes
ending on branes | Dedicated to the memory of Julius Wess and Bruno Zumino. Conclusions
and Discussion section added, several typos corrected and references added | Journal of High Energy Physics, August 2014, 2014:170 | 10.1007/JHEP08(2014)170 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the usual bosonic membrane action, we develop the geometry
suitable for the description of $p$-brane backgrounds. Using the tools of
generalized geometry we derive the generalization of string open-closed
relations. Nambu-Poisson structures are used to generalize the concept of
semiclassical noncommutativity of $D$-branes governed by Poisson tensor. We
naturally describe the correspondence of recently proposed commutative and
noncommutative versions of an effective action for $p$-branes ending on a
$p'$-brane. We calculate the power series expansion of the action in background
independent gauge. Leading terms in the double scaling limit are given by a
generalization of a (semi-classical) matrix model.
| [
{
"created": "Thu, 10 Apr 2014 13:25:10 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jul 2014 19:51:09 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Sep 2014 07:36:50 GMT",
"version": "v3"
}
] | 2014-09-05 | [
[
"Jurco",
"Branislav",
""
],
[
"Schupp",
"Peter",
""
],
[
"Vysoky",
"Jan",
""
]
] | Starting from the usual bosonic membrane action, we develop the geometry suitable for the description of $p$-brane backgrounds. Using the tools of generalized geometry we derive the generalization of string open-closed relations. Nambu-Poisson structures are used to generalize the concept of semiclassical noncommutativity of $D$-branes governed by Poisson tensor. We naturally describe the correspondence of recently proposed commutative and noncommutative versions of an effective action for $p$-branes ending on a $p'$-brane. We calculate the power series expansion of the action in background independent gauge. Leading terms in the double scaling limit are given by a generalization of a (semi-classical) matrix model. |
2103.09149 | Chiung Hwang | Chiung Hwang, Shlomo S. Razamat, Evyatar Sabag, Matteo Sacchi | Rank $Q$ E-String on Spheres with Flux | 57 pages, 6 figures; v2: a few minor changes, published in SciPost
Phys | null | 10.21468/SciPostPhys.11.2.044 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider compactifications of rank $Q$ E-string theory on a genus zero
surface with no punctures but with flux for various subgroups of the
$\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional
theory. We first construct a simple Wess-Zumino model in four dimensions
corresponding to the compactification on a sphere with one puncture and a
particular value of flux, the cap model. Using this theory and theories
corresponding to two punctured spheres with flux, one can obtain a large number
of models corresponding to spheres with a variety of fluxes. These models
exhibit interesting IR enhancements of global symmetry as well as duality
properties. As an example we will show that constructing sphere models
associated to specific fluxes related by an action of the Weyl group of
$\text{E}_8$ leads to the S-confinement duality of the $\text{USp}(2Q)$ gauge
theory with six fundamentals and a traceless antisymmetric field. Finally, we
show that the theories we discuss possess an $\text{SU}(2)_{\text{ISO}}$
symmetry in four dimensions that can be naturally identified with the isometry
of the two-sphere. We give evidence in favor of this identification by
computing the `t Hooft anomalies of the $\text{SU}(2)_{\text{ISO}}$ in 4d and
comparing them with the predicted anomalies from 6d.
| [
{
"created": "Tue, 16 Mar 2021 15:45:16 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Aug 2021 23:02:18 GMT",
"version": "v2"
}
] | 2021-09-02 | [
[
"Hwang",
"Chiung",
""
],
[
"Razamat",
"Shlomo S.",
""
],
[
"Sabag",
"Evyatar",
""
],
[
"Sacchi",
"Matteo",
""
]
] | We consider compactifications of rank $Q$ E-string theory on a genus zero surface with no punctures but with flux for various subgroups of the $\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional theory. We first construct a simple Wess-Zumino model in four dimensions corresponding to the compactification on a sphere with one puncture and a particular value of flux, the cap model. Using this theory and theories corresponding to two punctured spheres with flux, one can obtain a large number of models corresponding to spheres with a variety of fluxes. These models exhibit interesting IR enhancements of global symmetry as well as duality properties. As an example we will show that constructing sphere models associated to specific fluxes related by an action of the Weyl group of $\text{E}_8$ leads to the S-confinement duality of the $\text{USp}(2Q)$ gauge theory with six fundamentals and a traceless antisymmetric field. Finally, we show that the theories we discuss possess an $\text{SU}(2)_{\text{ISO}}$ symmetry in four dimensions that can be naturally identified with the isometry of the two-sphere. We give evidence in favor of this identification by computing the `t Hooft anomalies of the $\text{SU}(2)_{\text{ISO}}$ in 4d and comparing them with the predicted anomalies from 6d. |
1002.2459 | Sever Amit | Luis F. Alday, Juan Maldacena, Amit Sever and Pedro Vieira | Y-system for Scattering Amplitudes | 69 pages, 19 figures, v2: references added, minor additions | J.Phys.A43:485401,2010 | 10.1088/1751-8113/43/48/485401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute N=4 Super Yang Mills planar amplitudes at strong coupling by
considering minimal surfaces in AdS_5 space. The surfaces end on a null
polygonal contour at the boundary of AdS. We show how to compute the area of
the surfaces as a function of the conformal cross ratios characterizing the
polygon at the boundary. We reduce the problem to a simple set of functional
equations for the cross ratios as functions of the spectral parameter. These
equations have the form of Thermodynamic Bethe Ansatz equations. The area is
the free energy of the TBA system. We consider any number of gluons and in any
kinematic configuration.
| [
{
"created": "Fri, 12 Feb 2010 01:57:01 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2010 03:56:29 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Alday",
"Luis F.",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] | We compute N=4 Super Yang Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS_5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary. We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter. These equations have the form of Thermodynamic Bethe Ansatz equations. The area is the free energy of the TBA system. We consider any number of gluons and in any kinematic configuration. |
hep-th/0003105 | B. L. G. Bakker | B.L.G. Bakker and Chueng-Ryong Ji | Disentangling Intertwined Embedded States and Spin Effects in
Light-Front Quantization | 17 pages and 9 figures | Phys.Rev. D62 (2000) 074014 | 10.1103/PhysRevD.62.074014 | null | hep-th | null | Naive light-front quantization, carried out by a light-front energy
integration of covariant amplitudes, is not guaranteed to generate the
corresponding Feynman amplitudes. In an explicit example we show that the
nonvalence contribution to the minus-component of the EM current of a meson
with fermion constituents has a persistent end-point singularity. Only after
this term is subtracted, the result is covariant and satisfies current
conservation. If the spin-1/2 constituents are replaced by spin zero ones, the
singularity does not occur and the result is, without any adjustment, identical
to the Feynman amplitude. Numerical estimates of valence and nonvalence
contributions are presented for the cases of fermion and boson constituents.
| [
{
"created": "Tue, 14 Mar 2000 11:06:18 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bakker",
"B. L. G.",
""
],
[
"Ji",
"Chueng-Ryong",
""
]
] | Naive light-front quantization, carried out by a light-front energy integration of covariant amplitudes, is not guaranteed to generate the corresponding Feynman amplitudes. In an explicit example we show that the nonvalence contribution to the minus-component of the EM current of a meson with fermion constituents has a persistent end-point singularity. Only after this term is subtracted, the result is covariant and satisfies current conservation. If the spin-1/2 constituents are replaced by spin zero ones, the singularity does not occur and the result is, without any adjustment, identical to the Feynman amplitude. Numerical estimates of valence and nonvalence contributions are presented for the cases of fermion and boson constituents. |
1506.05091 | Richard MacKenzie | \'Eric Dupuis, Yan Gobeil, Richard MacKenzie, Luc Marleau, M. B.
Paranjape, Y. Ung | Tunneling decay of false kinks | 21 pages, 13 figures | Phys. Rev. D 92, 025031 (2015) | 10.1103/PhysRevD.92.025031 | UdeM-GPP-TH-14-238 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the decay of "false kinks," that is, kinks formed in a scalar
field theory with a pair of degenerate symmetry-breaking false vacua in 1+1
dimensions. The true vacuum is symmetric. A second scalar field and a peculiar
potential are added in order for the kink to be classically stable. We find an
expression for the decay rate of a false kink. As with any tunneling event, the
rate is proportional to $\exp(-S_E)$ where $S_E$ is the Euclidean action of the
bounce describing the tunneling event. This factor varies wildly depending on
the parameters of the model. Of interest is the fact that for certain
parameters $S_E$ can get arbitrarily small, implying that the kink is only
barely stable. Thus, while the false vacuum itself may be very long-lived, the
presence of kinks can give rise to rapid vacuum decay.
| [
{
"created": "Tue, 16 Jun 2015 19:35:04 GMT",
"version": "v1"
}
] | 2015-07-29 | [
[
"Dupuis",
"Éric",
""
],
[
"Gobeil",
"Yan",
""
],
[
"MacKenzie",
"Richard",
""
],
[
"Marleau",
"Luc",
""
],
[
"Paranjape",
"M. B.",
""
],
[
"Ung",
"Y.",
""
]
] | We consider the decay of "false kinks," that is, kinks formed in a scalar field theory with a pair of degenerate symmetry-breaking false vacua in 1+1 dimensions. The true vacuum is symmetric. A second scalar field and a peculiar potential are added in order for the kink to be classically stable. We find an expression for the decay rate of a false kink. As with any tunneling event, the rate is proportional to $\exp(-S_E)$ where $S_E$ is the Euclidean action of the bounce describing the tunneling event. This factor varies wildly depending on the parameters of the model. Of interest is the fact that for certain parameters $S_E$ can get arbitrarily small, implying that the kink is only barely stable. Thus, while the false vacuum itself may be very long-lived, the presence of kinks can give rise to rapid vacuum decay. |
hep-th/0105242 | Jeff Harvey | Jeffrey A. Harvey | Topology of the Gauge Group in Noncommutative Gauge Theory | Latex, 10pp, For proceedings of Strings 2001, added references | null | null | EFI-01-16 | hep-th | null | I argue that the gauge group of noncommutative gauge theory consists of maps
into unitary operators on Hilbert space of the form $u=1+K$ with $K$ compact.
Some implications of this proposal are outlined.
| [
{
"created": "Wed, 23 May 2001 17:26:19 GMT",
"version": "v1"
},
{
"created": "Mon, 28 May 2001 18:26:48 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Harvey",
"Jeffrey A.",
""
]
] | I argue that the gauge group of noncommutative gauge theory consists of maps into unitary operators on Hilbert space of the form $u=1+K$ with $K$ compact. Some implications of this proposal are outlined. |
hep-th/9206103 | Steve Carlip | Steven Carlip | The Sum over Topologies in Three-Dimensional Euclidean Quantum Gravity | 12 pages (LaTeX), UCD-92-16 | Class.Quant.Grav.10:207-218,1993 | 10.1088/0264-9381/10/2/004 | null | hep-th | null | In Hawking's Euclidean path integral approach to quantum gravity, the
partition function is computed by summing contributions from all possible
topologies. The behavior such a sum can be estimated in three spacetime
dimensions in the limit of small cosmological constant. The sum over topologies
diverges for either sign of $\Lambda$, but for dramatically different reasons:
for $\Lambda>0$, the divergent behavior comes from the contributions of very
low volume, topologically complex manifolds, while for $\Lambda<0$ it is a
consequence of the existence of infinite sequences of relatively high volume
manifolds with converging geometries. Possible implications for
four-dimensional quantum gravity are discussed.
| [
{
"created": "Fri, 26 Jun 1992 22:12:04 GMT",
"version": "v1"
}
] | 2010-04-28 | [
[
"Carlip",
"Steven",
""
]
] | In Hawking's Euclidean path integral approach to quantum gravity, the partition function is computed by summing contributions from all possible topologies. The behavior such a sum can be estimated in three spacetime dimensions in the limit of small cosmological constant. The sum over topologies diverges for either sign of $\Lambda$, but for dramatically different reasons: for $\Lambda>0$, the divergent behavior comes from the contributions of very low volume, topologically complex manifolds, while for $\Lambda<0$ it is a consequence of the existence of infinite sequences of relatively high volume manifolds with converging geometries. Possible implications for four-dimensional quantum gravity are discussed. |
hep-th/9506020 | Kalyana Rama | S. Kalyana Rama | Some Cosmological Consequences of Non Trivial PPN Parameters $\beta$ and
$\gamma$ | 14 pages. Latex file. Results unchanged, more detailed discussion
provided | Phys.Lett. B373 (1996) 282-288 | 10.1016/0370-2693(96)00146-3 | Mehta Research Institute preprint MRI-PHY/7/95 | hep-th astro-ph gr-qc | null | We study homogeneous isotropic universe in a graviton-dilaton theory
obtained, in a previous paper, by a simple requirement that the theory be able
to predict non trivial values for $\beta$ and/or $\gamma$ for a charge neutral
point star, without any naked singularities. We find that in this universe the
physical time can be continued indefinitely into the past or future, and that
all the physical curvature invariants are always finite, showing the absence of
big bang singularity. Adding a dilaton potential, we find again the same
features. As a surprising bonus, there emerges naturally a Brans-Dicke
function, which has precisely the kind of behaviour needed to make $\omega_{bd}
({\rm today}) > 500$ in hyperextended inflation.
| [
{
"created": "Wed, 31 May 1995 05:22:10 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 1996 14:47:27 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Rama",
"S. Kalyana",
""
]
] | We study homogeneous isotropic universe in a graviton-dilaton theory obtained, in a previous paper, by a simple requirement that the theory be able to predict non trivial values for $\beta$ and/or $\gamma$ for a charge neutral point star, without any naked singularities. We find that in this universe the physical time can be continued indefinitely into the past or future, and that all the physical curvature invariants are always finite, showing the absence of big bang singularity. Adding a dilaton potential, we find again the same features. As a surprising bonus, there emerges naturally a Brans-Dicke function, which has precisely the kind of behaviour needed to make $\omega_{bd} ({\rm today}) > 500$ in hyperextended inflation. |
1306.0339 | Syoji Zeze | Syoji Zeze | VSFT revisited | 6 pages, Section 2 is added for publication | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue validity of purely ghost kinetic operator in open string field
theory from the perspective of the modern analytic method based on the $K B c$
subalgebra. A purely ghost kinetic operator is obtained as a result of gauge
fixing string field theory around the identity based tachyon vacuum solution.
It is shown that the obtained kinetic operator is not equivalent to the
midpoint insertion of the conformal ghost which is extensively studied in
literature. We also find that the equation of motion does not allow any
nontrivial solutions.
| [
{
"created": "Mon, 3 Jun 2013 09:17:53 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 04:41:35 GMT",
"version": "v2"
}
] | 2014-01-24 | [
[
"Zeze",
"Syoji",
""
]
] | We argue validity of purely ghost kinetic operator in open string field theory from the perspective of the modern analytic method based on the $K B c$ subalgebra. A purely ghost kinetic operator is obtained as a result of gauge fixing string field theory around the identity based tachyon vacuum solution. It is shown that the obtained kinetic operator is not equivalent to the midpoint insertion of the conformal ghost which is extensively studied in literature. We also find that the equation of motion does not allow any nontrivial solutions. |
1502.06698 | Michael B. Green | Eric D'Hoker, Michael B. Green and Pierre Vanhove | On the modular structure of the genus-one Type II superstring low energy
expansion | 74 pages, LaTeX. Typos corrected; enhanced discussion; references
added | null | 10.1007/JHEP08(2015)041 | DAMTP-08-02-2015;IPHT-T15/012;IHES/P/15/04 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The analytic contribution to the low energy expansion of Type II string
amplitudes at genus-one is a power series in space-time derivatives with
coefficients that are determined by integrals of modular functions over the
complex structure modulus of the world-sheet torus. These modular functions are
associated with world-sheet vacuum Feynman diagrams and given by multiple sums
over the discrete momenta on the torus. In this paper we exhibit exact
differential and algebraic relations for a certain infinite class of such
modular functions by showing that they satisfy Laplace eigenvalue equations
with inhomogeneous terms that are polynomial in non-holomorphic Eisenstein
series. Furthermore, we argue that the set of modular functions that contribute
to the coefficients of interactions up to order D**10 R*4 are linear sums of
functions in this class and quadratic polynomials in Eisenstein series and odd
Riemann zeta values. Integration over the complex structure results in
coefficients of the low energy expansion that are rational numbers multiplying
monomials in odd Riemann zeta values.
| [
{
"created": "Tue, 24 Feb 2015 07:26:12 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 2015 22:52:31 GMT",
"version": "v2"
}
] | 2015-09-30 | [
[
"D'Hoker",
"Eric",
""
],
[
"Green",
"Michael B.",
""
],
[
"Vanhove",
"Pierre",
""
]
] | The analytic contribution to the low energy expansion of Type II string amplitudes at genus-one is a power series in space-time derivatives with coefficients that are determined by integrals of modular functions over the complex structure modulus of the world-sheet torus. These modular functions are associated with world-sheet vacuum Feynman diagrams and given by multiple sums over the discrete momenta on the torus. In this paper we exhibit exact differential and algebraic relations for a certain infinite class of such modular functions by showing that they satisfy Laplace eigenvalue equations with inhomogeneous terms that are polynomial in non-holomorphic Eisenstein series. Furthermore, we argue that the set of modular functions that contribute to the coefficients of interactions up to order D**10 R*4 are linear sums of functions in this class and quadratic polynomials in Eisenstein series and odd Riemann zeta values. Integration over the complex structure results in coefficients of the low energy expansion that are rational numbers multiplying monomials in odd Riemann zeta values. |
1407.5338 | Chethan Gowdigere | Chethan N Gowdigere | On the smoothness of horizons in the most generic multi center black
hole and membrane solutions | 44p | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the differentiability of the metric and other fields at any of the
horizons of the \emph{most generic} multi center Reissner-Nordstrom black hole
solutions in $d \ge 5$ and of multi center $M2$ brane solutions. Most generic
means that the centers are generically located in transverse space and
consequently the solutions do not have any transverse spatial isometries. We
construct the Gaussian null co-ordinate system for the neighborhood of a
horizon by solving (all) the geodesic equations in expansions of (appropriate
powers of) the affine parameter. Organizing the harmonic functions that appear
in the solution in terms of generalized Gegenbauer polynomials, introduced in
\cite{Gowdigere:2014aca}, is key to obtaining the solution to the geodesic
equations in a compact and manageable form. We then compute the metric and
other fields in the Gaussian null co-ordinate system and find that the
differentiability of the horizon in the most generic solution is
\emph{identical to} the differentiability of the horizon in the two
center/collinear solution (centers distributed on a line in transverse space).
We isolate those aspects of the computation that are most relevant to this
result. We perform these computations in some cases, in several co-ordinate
systems.
| [
{
"created": "Sun, 20 Jul 2014 21:45:54 GMT",
"version": "v1"
}
] | 2014-07-22 | [
[
"Gowdigere",
"Chethan N",
""
]
] | We study the differentiability of the metric and other fields at any of the horizons of the \emph{most generic} multi center Reissner-Nordstrom black hole solutions in $d \ge 5$ and of multi center $M2$ brane solutions. Most generic means that the centers are generically located in transverse space and consequently the solutions do not have any transverse spatial isometries. We construct the Gaussian null co-ordinate system for the neighborhood of a horizon by solving (all) the geodesic equations in expansions of (appropriate powers of) the affine parameter. Organizing the harmonic functions that appear in the solution in terms of generalized Gegenbauer polynomials, introduced in \cite{Gowdigere:2014aca}, is key to obtaining the solution to the geodesic equations in a compact and manageable form. We then compute the metric and other fields in the Gaussian null co-ordinate system and find that the differentiability of the horizon in the most generic solution is \emph{identical to} the differentiability of the horizon in the two center/collinear solution (centers distributed on a line in transverse space). We isolate those aspects of the computation that are most relevant to this result. We perform these computations in some cases, in several co-ordinate systems. |
2105.00806 | W. A. Sabra | W. A. Sabra | Hypersymplectic Geometry and Supersymmetric Solutions in (t,s) 5D
Supergravity | 16 pages | Phys. Rev. D 104, 046012 (2021) | 10.1103/PhysRevD.104.046012 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Relying on the method of spinorial geometry, purely bosonic supersymmetric
solutions in N=2, five-dimensional supergravity theories coupled to vector
multiplets in all space-time signatures are found. Explicit examples of some
new solutions are presented
| [
{
"created": "Mon, 3 May 2021 13:04:33 GMT",
"version": "v1"
}
] | 2021-08-18 | [
[
"Sabra",
"W. A.",
""
]
] | Relying on the method of spinorial geometry, purely bosonic supersymmetric solutions in N=2, five-dimensional supergravity theories coupled to vector multiplets in all space-time signatures are found. Explicit examples of some new solutions are presented |
1911.11574 | Guillaume Valette | Guillaume Valette (Universit\'e Libre de Bruxelles) | New Limits for Large $N$ Matrix and Tensor Models: Large $D$, Melons and
Applications | Pedagogical part of Ph.D. thesis | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Large $N$ matrix models play an important role in modern theoretical physics,
ranging from quantum chromodynamics to string theory and holography. However,
they remain a difficult technical challenge because in most cases it is not
known how to perform the sum over planar graphs, which dominate the models at
large $N$. In this thesis, we study large $D$ matrix models, which provide a
framework to build new limits for matrix models in which the sum over planar
graphs simplifies when $D$ is large. The basic degrees of freedom are real
matrices of size $N\times N$ with $r$ additional indices of range $D$. They can
be interpreted as a real tensor of rank $R=r+2$ with indices of different
ranges, making a compelling connection with tensor models. We define a new
large $D$ limit for the sum over Feynman graphs of fixed genus in matrix
models, based on an enhanced large $D$ scaling of the coupling constants. Then,
we show that the resulting large $D$ expansion is well-defined and organized
according to a half-integer called the index. When $N=D$, the result provides a
new large $N$ limit for general $\text{O}(N)^R$ invariant tensor models. In the
large $D$ limit, the sum over planar graphs of large $N$ matrix models
simplifies to a non-trivial sum over generalized melonic graphs. This class of
graphs extends the one obtained in tensor models with standard scaling and
allows for a wider class of interactions, including all the maximally
single-trace terms. The general classification of generalized melonic graphs
remains an open problem. However, in the case of the complete interaction of
order $R+1$ for $R$ a prime number, we identify them in detail and demonstrate
that they exhibit the same important features as the SYK model with
$q=(R+1)$-fold random interactions, including the emergent conformal symmetry
in the infrared regime and maximal chaos.
| [
{
"created": "Tue, 26 Nov 2019 14:41:06 GMT",
"version": "v1"
}
] | 2019-11-27 | [
[
"Valette",
"Guillaume",
"",
"Université Libre de Bruxelles"
]
] | Large $N$ matrix models play an important role in modern theoretical physics, ranging from quantum chromodynamics to string theory and holography. However, they remain a difficult technical challenge because in most cases it is not known how to perform the sum over planar graphs, which dominate the models at large $N$. In this thesis, we study large $D$ matrix models, which provide a framework to build new limits for matrix models in which the sum over planar graphs simplifies when $D$ is large. The basic degrees of freedom are real matrices of size $N\times N$ with $r$ additional indices of range $D$. They can be interpreted as a real tensor of rank $R=r+2$ with indices of different ranges, making a compelling connection with tensor models. We define a new large $D$ limit for the sum over Feynman graphs of fixed genus in matrix models, based on an enhanced large $D$ scaling of the coupling constants. Then, we show that the resulting large $D$ expansion is well-defined and organized according to a half-integer called the index. When $N=D$, the result provides a new large $N$ limit for general $\text{O}(N)^R$ invariant tensor models. In the large $D$ limit, the sum over planar graphs of large $N$ matrix models simplifies to a non-trivial sum over generalized melonic graphs. This class of graphs extends the one obtained in tensor models with standard scaling and allows for a wider class of interactions, including all the maximally single-trace terms. The general classification of generalized melonic graphs remains an open problem. However, in the case of the complete interaction of order $R+1$ for $R$ a prime number, we identify them in detail and demonstrate that they exhibit the same important features as the SYK model with $q=(R+1)$-fold random interactions, including the emergent conformal symmetry in the infrared regime and maximal chaos. |
hep-th/0503197 | Nathan Berkovits | Nathan Berkovits (IFT-UNESP, Sao Paulo) | Super-Poincare Covariant Two-Loop Superstring Amplitudes | 6 pages harvmac | JHEP 0601 (2006) 005 | 10.1088/1126-6708/2006/01/005 | IFT-P.011/2005 | hep-th | null | The super-Poincare covariant formalism for the superstring is used to compute
massless four-point two-loop amplitudes in ten-dimensional superspace. The
computations are much simpler than in the RNS formalism and include both
external bosons and fermions.
| [
{
"created": "Fri, 25 Mar 2005 20:59:31 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Berkovits",
"Nathan",
"",
"IFT-UNESP, Sao Paulo"
]
] | The super-Poincare covariant formalism for the superstring is used to compute massless four-point two-loop amplitudes in ten-dimensional superspace. The computations are much simpler than in the RNS formalism and include both external bosons and fermions. |
1603.05678 | Juan Diaz Dorronsoro | Diego Cohen-Maldonado, Juan Diaz, Fridrik Freyr Gautason | Polarised antibranes from Smarr relations | 26 pages, 3 figures | null | 10.1007/JHEP05(2016)175 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the backreaction of smeared and localised anti M2-branes placed at
the tip of the CGLP background. To this end we derive a Smarr relation for
backreacted antibranes at zero and finite temperature. For extremal antibranes
we show that if smeared they cannot have regular horizons, whereas localised
M2-branes can potentially be regular when polarised into M5-branes, in
agreement with the probe result of Klebanov and Pufu. We further discuss
antibranes at finite temperature and argue that localised antibrane solutions
with regular horizons are not excluded.
| [
{
"created": "Thu, 17 Mar 2016 20:33:40 GMT",
"version": "v1"
}
] | 2016-06-29 | [
[
"Cohen-Maldonado",
"Diego",
""
],
[
"Diaz",
"Juan",
""
],
[
"Gautason",
"Fridrik Freyr",
""
]
] | We study the backreaction of smeared and localised anti M2-branes placed at the tip of the CGLP background. To this end we derive a Smarr relation for backreacted antibranes at zero and finite temperature. For extremal antibranes we show that if smeared they cannot have regular horizons, whereas localised M2-branes can potentially be regular when polarised into M5-branes, in agreement with the probe result of Klebanov and Pufu. We further discuss antibranes at finite temperature and argue that localised antibrane solutions with regular horizons are not excluded. |
hep-th/9901062 | Mark Trodden | Mark Trodden | Dirichlet Solitons in Field Theories | 5 pages, to appear in the proceedings of COSMO-98 | null | 10.1063/1.59451 | CWRU-P2-99 | hep-th hep-ph | null | I briefly describe a new class of soliton configurations in field theories.
These consist of topological defects which can end when they intersect other
defects of equal or higher dimensionality. Such configurations may be termed
``Dirichlet topological defects'', in analogy with the D-branes of string
theory. I provide a specific example - cosmic strings that terminate on domain
walls - and discuss some new directions for this work, including an interesting
and qualitatively different extension to supersymmetric theories.
| [
{
"created": "Fri, 15 Jan 1999 14:46:18 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Trodden",
"Mark",
""
]
] | I briefly describe a new class of soliton configurations in field theories. These consist of topological defects which can end when they intersect other defects of equal or higher dimensionality. Such configurations may be termed ``Dirichlet topological defects'', in analogy with the D-branes of string theory. I provide a specific example - cosmic strings that terminate on domain walls - and discuss some new directions for this work, including an interesting and qualitatively different extension to supersymmetric theories. |
0910.4532 | Monica Borunda | Monica Borunda, Manuel Masip | Black hole gas in the early universe | 17 pages, version to appear in JCAP | JCAP 1001:027,2010 | 10.1088/1475-7516/2010/01/027 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the early universe at temperatures close to the fundamental scale
of gravity (M_D << M_Planck) in models with extra dimensions. At such
temperatures a small fraction of particles will experience transplanckian
collisions that may result in microscopic black holes (BHs). BHs colder than
the environment will gain mass, and as they grow their temperature drops
further. We study the dynamics of a system (a black hole gas) defined by
radiation at a given temperature coupled to a distribution of BHs of different
mass. Our analysis includes the production of BHs in photon-photon collisions,
BH evaporation, the absorption of radiation, collisions of two BHs to give a
larger one, and the effects of the expansion. We show that the system may
follow two different generic paths depending on the initial temperature of the
plasma.
| [
{
"created": "Fri, 23 Oct 2009 15:24:33 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2009 10:03:16 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Nov 2009 10:58:16 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Jan 2010 10:49:35 GMT",
"version": "v4"
}
] | 2010-01-26 | [
[
"Borunda",
"Monica",
""
],
[
"Masip",
"Manuel",
""
]
] | We consider the early universe at temperatures close to the fundamental scale of gravity (M_D << M_Planck) in models with extra dimensions. At such temperatures a small fraction of particles will experience transplanckian collisions that may result in microscopic black holes (BHs). BHs colder than the environment will gain mass, and as they grow their temperature drops further. We study the dynamics of a system (a black hole gas) defined by radiation at a given temperature coupled to a distribution of BHs of different mass. Our analysis includes the production of BHs in photon-photon collisions, BH evaporation, the absorption of radiation, collisions of two BHs to give a larger one, and the effects of the expansion. We show that the system may follow two different generic paths depending on the initial temperature of the plasma. |
0907.1434 | Sang-Jin Sin | Sang-Jin Sin and Ismail Zahed | Holographic dual of Cold Trapped Fermions | 22 page latex, v2:reference added, sec.7's title change. v3) c_V
recalculated, v4)C_V T in all dimension is stressed v5) a version to be
accepted in jhep | JHEP 0912:015,2009 | 10.1088/1126-6708/2009/12/015 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study cold fermionic atoms using the holographic principle. We note that
current atomic experiments with massive fermions trapped in a harmonic
potential in the unitarity limit behave as massless fermions thanks to the
Thomas-Fermi approximation. We map the thermodynamics of strongly correlated
massless fermion to that of the charged black hole and study the thermodynamics
and transport properties of cold fermions at strong coupling at finite
temperature and density. In cold limit, the specific heat of charged black hole
is linear in $T$ independent of the dimensionality, which is reminiscent of
Fermi liquids. The shear viscosity per particle is shown to be finite as a
consequence of the non-vanishing of the entropy. We show that our holographic
results compare favorably with most of the current atomic data.
| [
{
"created": "Thu, 9 Jul 2009 07:39:59 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jul 2009 12:46:06 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Oct 2009 09:47:47 GMT",
"version": "v3"
},
{
"created": "Sun, 8 Nov 2009 07:27:29 GMT",
"version": "v4"
},
{
"created": "Thu, 19 Nov 2009 14:16:45 GMT",
"version": "v5"
}
] | 2009-12-15 | [
[
"Sin",
"Sang-Jin",
""
],
[
"Zahed",
"Ismail",
""
]
] | We study cold fermionic atoms using the holographic principle. We note that current atomic experiments with massive fermions trapped in a harmonic potential in the unitarity limit behave as massless fermions thanks to the Thomas-Fermi approximation. We map the thermodynamics of strongly correlated massless fermion to that of the charged black hole and study the thermodynamics and transport properties of cold fermions at strong coupling at finite temperature and density. In cold limit, the specific heat of charged black hole is linear in $T$ independent of the dimensionality, which is reminiscent of Fermi liquids. The shear viscosity per particle is shown to be finite as a consequence of the non-vanishing of the entropy. We show that our holographic results compare favorably with most of the current atomic data. |
1911.12814 | Remigiusz Durka | Remigiusz Durka, Kamil Grela | On the number of possible resonant algebras | 10 pages, v2 (improved version prepared for publication in JPhysA) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the question concerning the number of distinct resonant algebras
depending on the generator content, which consists of the Lorentz generator,
translation, and new additional Lorentz-like and translation-like generators.
Such algebra enlargements originate directly from the so-called Maxwell algebra
and implementation of the S-expansion framework. Resonant algebras, being a
sub-class of the S-expanded algebras, similarly should find use in the
construction of gravity and supergravity models and in some other applications.
The undertaken task of establishing all the possible resonant algebras is
closely related to the subject of finding commutative monoids (semigroups with
the identity element) of the particular order, were we additionally enforce the
parity condition.
| [
{
"created": "Thu, 28 Nov 2019 18:02:14 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jun 2020 09:43:54 GMT",
"version": "v2"
}
] | 2020-06-23 | [
[
"Durka",
"Remigiusz",
""
],
[
"Grela",
"Kamil",
""
]
] | We explore the question concerning the number of distinct resonant algebras depending on the generator content, which consists of the Lorentz generator, translation, and new additional Lorentz-like and translation-like generators. Such algebra enlargements originate directly from the so-called Maxwell algebra and implementation of the S-expansion framework. Resonant algebras, being a sub-class of the S-expanded algebras, similarly should find use in the construction of gravity and supergravity models and in some other applications. The undertaken task of establishing all the possible resonant algebras is closely related to the subject of finding commutative monoids (semigroups with the identity element) of the particular order, were we additionally enforce the parity condition. |
1602.04765 | Akikazu Hashimoto | William Cottrell and Akikazu Hashimoto | Resolved gravity duals of ${\cal N}=4$ quiver field theories in 2+1
dimensions | 34 pages, 11 figures | null | 10.1007/JHEP10(2016)057 | MAD-TH-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of
${\cal N}=4$ quiver gauge theory with gauge group $U(N+M) \times U(N)$, $k$
fundamentals charged under $U(N)$ and bi-fundamentals, to the case with gauge
group $\prod_{i=1}^{\hat k} U(N_i)$ with $k_i$ fundamentals charged under
$U(N_i)$. This construction is facilitated by considering the resolved
$ALE_{\hat k} \times TN_{k}$ background in M-theory including non-trivial
fluxes through the resolved 4-cycles in the geometry. We also describe the
M-theory lift of the IIA Page charge quantization condition. Finally, we
clarify the role of string corrections in various regimes of parameter space.
| [
{
"created": "Mon, 15 Feb 2016 18:52:48 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Cottrell",
"William",
""
],
[
"Hashimoto",
"Akikazu",
""
]
] | We generalize the construction by Aharony, Hashimoto, Hirano, and Ouyang of ${\cal N}=4$ quiver gauge theory with gauge group $U(N+M) \times U(N)$, $k$ fundamentals charged under $U(N)$ and bi-fundamentals, to the case with gauge group $\prod_{i=1}^{\hat k} U(N_i)$ with $k_i$ fundamentals charged under $U(N_i)$. This construction is facilitated by considering the resolved $ALE_{\hat k} \times TN_{k}$ background in M-theory including non-trivial fluxes through the resolved 4-cycles in the geometry. We also describe the M-theory lift of the IIA Page charge quantization condition. Finally, we clarify the role of string corrections in various regimes of parameter space. |
2208.02467 | Naoya Ukita | Daisuke Kadoh and Naoya Ukita | Supersymmetric gradient flow in 4d N=1 SQCD | 5 pages | null | 10.1140/epjs/s11734-022-00707-2 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | A supersymmetric gradient flow for four-dimensional N=1 supersymmetric QCD
(SQCD) is proposed. The flow equation is given in both the superfield and
component fields of the Wess-Zumino gauge. The superfield flow equation is
defined for each of the gauge and matter multiplets individually. Adding a
gauge fixing, the component-field flow equation is defined in the Wess-Zumino
gauge in a gauge covariant manner. We find that the latter equation is
supersymmetric in a sense that the commutator of the flow time derivative and
the supersymmetry transformation vanishes up to a gauge transformation. We also
discuss a simplified flow by using the gradient of supersymmetric Yang-Mills
(SYM) action instead of using SQCD action to define a gauge multiplet flow.
| [
{
"created": "Thu, 4 Aug 2022 05:24:20 GMT",
"version": "v1"
}
] | 2022-12-21 | [
[
"Kadoh",
"Daisuke",
""
],
[
"Ukita",
"Naoya",
""
]
] | A supersymmetric gradient flow for four-dimensional N=1 supersymmetric QCD (SQCD) is proposed. The flow equation is given in both the superfield and component fields of the Wess-Zumino gauge. The superfield flow equation is defined for each of the gauge and matter multiplets individually. Adding a gauge fixing, the component-field flow equation is defined in the Wess-Zumino gauge in a gauge covariant manner. We find that the latter equation is supersymmetric in a sense that the commutator of the flow time derivative and the supersymmetry transformation vanishes up to a gauge transformation. We also discuss a simplified flow by using the gradient of supersymmetric Yang-Mills (SYM) action instead of using SQCD action to define a gauge multiplet flow. |
1103.3447 | Stanislav Kuperstein | Oleg Khasanov, Stanislav Kuperstein | (In)finite extensions of algebras from their Inonu-Wigner contractions | 7 pages, revtex style; v2: Minor corrections, references added; v3:
Typos corrected | J. Phys. A: Math. Theor. 44 (2011) 475202 | 10.1088/1751-8113/44/47/475202 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The way to obtain massive non-relativistic states from the Poincare algebra
is twofold. First, following Inonu and Wigner the Poincare algebra has to be
contracted to the Galilean one. Second, the Galilean algebra is to be extended
to include the central mass operator. We show that the central extension might
be properly encoded in the non-relativistic contraction. In fact, any
Inonu-Wigner contraction of one algebra to another, corresponds to an infinite
tower of abelian extensions of the latter. The proposed method is
straightforward and holds for both central and non-central extensions. Apart
from the Bargmann (non-zero mass) extension of the Galilean algebra, our list
of examples includes the Weyl algebra obtained from an extension of the
contracted SO(3) algebra, the Carrollian (ultra-relativistic) contraction of
the Poincare algebra, the exotic Newton-Hooke algebra and some others. The
paper is dedicated to the memory of Laurent Houart (1967-2011).
| [
{
"created": "Thu, 17 Mar 2011 16:06:06 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2011 00:53:10 GMT",
"version": "v2"
},
{
"created": "Sat, 8 Oct 2011 20:47:32 GMT",
"version": "v3"
}
] | 2011-12-30 | [
[
"Khasanov",
"Oleg",
""
],
[
"Kuperstein",
"Stanislav",
""
]
] | The way to obtain massive non-relativistic states from the Poincare algebra is twofold. First, following Inonu and Wigner the Poincare algebra has to be contracted to the Galilean one. Second, the Galilean algebra is to be extended to include the central mass operator. We show that the central extension might be properly encoded in the non-relativistic contraction. In fact, any Inonu-Wigner contraction of one algebra to another, corresponds to an infinite tower of abelian extensions of the latter. The proposed method is straightforward and holds for both central and non-central extensions. Apart from the Bargmann (non-zero mass) extension of the Galilean algebra, our list of examples includes the Weyl algebra obtained from an extension of the contracted SO(3) algebra, the Carrollian (ultra-relativistic) contraction of the Poincare algebra, the exotic Newton-Hooke algebra and some others. The paper is dedicated to the memory of Laurent Houart (1967-2011). |
0707.2564 | Grigori Vartanov | D. I. Kazakov and G. S. Vartanov | Renormalizable 1/N_f Expansion for Field Theories in Extra Dimensions | 32 pages, 20 figures | JHEP 0706:081,2007 | 10.1088/1126-6708/2007/06/081 | null | hep-th hep-ph | null | We demonstrate how one can construct renormalizable perturbative expansion in
formally nonrenormalizable higher dimensional field theories. It is based on
$1/N_f$-expansion and results in a logarithmically divergent perturbation
theory in arbitrary high space-time dimension. First, we consider a simple
example of $N$-component scalar filed theory and then extend this approach to
Abelian and non-Abelian gauge theories with $N_f$ fermions. In the latter case,
due to self-interaction of non-Abelian fields the proposed recipe requires some
modification which, however, does not change the main results. The resulting
effective coupling is dimensionless and is running in accordance with the usual
RG equations. The corresponding beta function is calculated in the leading
order and is nonpolynomial in effective coupling. It exhibits either UV
asymptotically free or IR free behaviour depending on the dimension of
space-time. The original dimensionful coupling plays a role of a mass and is
also logarithmically renormalized. We analyze also the analytical properties of
a resulting theory and demonstrate that in general it acquires several ghost
states with negative and/or complex masses. In the former case, the ghost state
can be removed by a proper choice of the coupling. As for the states with
complex conjugated masses, their contribution to physical amplitudes cancels so
that the theory appears to be unitary.
| [
{
"created": "Tue, 17 Jul 2007 16:31:52 GMT",
"version": "v1"
}
] | 2009-11-18 | [
[
"Kazakov",
"D. I.",
""
],
[
"Vartanov",
"G. S.",
""
]
] | We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional field theories. It is based on $1/N_f$-expansion and results in a logarithmically divergent perturbation theory in arbitrary high space-time dimension. First, we consider a simple example of $N$-component scalar filed theory and then extend this approach to Abelian and non-Abelian gauge theories with $N_f$ fermions. In the latter case, due to self-interaction of non-Abelian fields the proposed recipe requires some modification which, however, does not change the main results. The resulting effective coupling is dimensionless and is running in accordance with the usual RG equations. The corresponding beta function is calculated in the leading order and is nonpolynomial in effective coupling. It exhibits either UV asymptotically free or IR free behaviour depending on the dimension of space-time. The original dimensionful coupling plays a role of a mass and is also logarithmically renormalized. We analyze also the analytical properties of a resulting theory and demonstrate that in general it acquires several ghost states with negative and/or complex masses. In the former case, the ghost state can be removed by a proper choice of the coupling. As for the states with complex conjugated masses, their contribution to physical amplitudes cancels so that the theory appears to be unitary. |
2407.12905 | Mariana Carrillo-Gonz\'alez | Mariana Carrillo Gonz\'alez, Arthur Lipstein, Silvia Nagy | Self-Dual Cosmology | 17 pages + apendices | null | null | Imperial/TP/2024/MC/01 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct cosmological spacetimes with a self-dual Weyl tensor whose
dynamics are described by conformally coupled scalars with only cubic
self-interactions. Similar to the previously discovered cases in flat and
(Anti) de Sitter backgrounds, the interactions are characterized by a bracket
that encodes a kinematic algebra. We discuss how the color-kinematics duality
and double copy are realized in these cosmological backgrounds. If we further
impose that the Ricci scalar is that of an FLRW spacetime, we find two new
self-dual metrics corresponding to radiation-dominated and coasting
(non-accelerating) FLRW backgrounds. Relaxing this requirement, we find an
infinite family of solutions given by three different conformal classes of
cosmological self-dual metrics. These solutions approximate those of FLRW as
long as we impose a simple additional constraint on the scalar theory.
| [
{
"created": "Wed, 17 Jul 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-07-19 | [
[
"González",
"Mariana Carrillo",
""
],
[
"Lipstein",
"Arthur",
""
],
[
"Nagy",
"Silvia",
""
]
] | We construct cosmological spacetimes with a self-dual Weyl tensor whose dynamics are described by conformally coupled scalars with only cubic self-interactions. Similar to the previously discovered cases in flat and (Anti) de Sitter backgrounds, the interactions are characterized by a bracket that encodes a kinematic algebra. We discuss how the color-kinematics duality and double copy are realized in these cosmological backgrounds. If we further impose that the Ricci scalar is that of an FLRW spacetime, we find two new self-dual metrics corresponding to radiation-dominated and coasting (non-accelerating) FLRW backgrounds. Relaxing this requirement, we find an infinite family of solutions given by three different conformal classes of cosmological self-dual metrics. These solutions approximate those of FLRW as long as we impose a simple additional constraint on the scalar theory. |
2306.15783 | Enoch Leung | Ibrahima Bah, Enoch Leung, and Thomas Waddleton | Non-Invertible Symmetries, Brane Dynamics, and Tachyon Condensation | 39 pages plus appendices (with minor revisions to match published
version) | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the Symmetry Topological Field Theory in holography associated with
4d $\mathcal{N}=1$ Super Yang-Mills theory with gauge algebra
$\mathfrak{su}(M)$. From this, all the bulk symmetry operators are computed and
matched to various D-brane configurations. The fusion algebra of the operators
emerges from brane dynamics. In particular, we show that the symmetry operators
are purely determined from the center-of-mass modes of the branes. We identify
the TQFT fusion coefficients with the relative motion of the branes. We also
establish the origin of condensation defects, arising from fusion of
non-invertible operators, as the consequence of tachyon condensation in
brane-anti-brane pairs.
| [
{
"created": "Tue, 27 Jun 2023 20:10:13 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jan 2024 17:06:53 GMT",
"version": "v2"
}
] | 2024-01-25 | [
[
"Bah",
"Ibrahima",
""
],
[
"Leung",
"Enoch",
""
],
[
"Waddleton",
"Thomas",
""
]
] | We study the Symmetry Topological Field Theory in holography associated with 4d $\mathcal{N}=1$ Super Yang-Mills theory with gauge algebra $\mathfrak{su}(M)$. From this, all the bulk symmetry operators are computed and matched to various D-brane configurations. The fusion algebra of the operators emerges from brane dynamics. In particular, we show that the symmetry operators are purely determined from the center-of-mass modes of the branes. We identify the TQFT fusion coefficients with the relative motion of the branes. We also establish the origin of condensation defects, arising from fusion of non-invertible operators, as the consequence of tachyon condensation in brane-anti-brane pairs. |
1004.1977 | Thomas Creutzig | Thomas Creutzig and Yasuaki Hikida | Branes in the OSP(1|2) WZNW model | 60 pages | Nucl.Phys.B842:172-224,2011 | 10.1016/j.nuclphysb.2010.08.020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The boundary OSP(1|2) WZNW model possesses two types of branes, which are
localized on supersymmetric Euclidean AdS$_2$ and on two-dimensional
superspheres. We compute the coupling of closed strings to these branes with
two different methods. The first one uses factorization constraints and the
other one a correspondence to boundary N=1 super-Liouville field theory, which
we proof with path integral techniques. We check that the results obey the
Cardy condition and reproduce the semi-classical computations. For the check we
also compute the spectral density of open strings that are attached to the
non-compact branes.
| [
{
"created": "Mon, 12 Apr 2010 14:44:51 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Apr 2010 18:31:18 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Creutzig",
"Thomas",
""
],
[
"Hikida",
"Yasuaki",
""
]
] | The boundary OSP(1|2) WZNW model possesses two types of branes, which are localized on supersymmetric Euclidean AdS$_2$ and on two-dimensional superspheres. We compute the coupling of closed strings to these branes with two different methods. The first one uses factorization constraints and the other one a correspondence to boundary N=1 super-Liouville field theory, which we proof with path integral techniques. We check that the results obey the Cardy condition and reproduce the semi-classical computations. For the check we also compute the spectral density of open strings that are attached to the non-compact branes. |
1212.1050 | Shailesh Lal | Shailesh Lal | CFT(4) Partition Functions and the Heat Kernel on AdS(5) | 15 pages | null | 10.1016/j.physletb.2013.10.043 | ICTS/2012/12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly reorganise the partition function of an arbitrary CFT in four
spacetime dimensions into a heat kernel form for the dual string spectrum on
AdS(5). On very general grounds, the heat kernel answer can be expressed in
terms of a convolution of the one-particle partition function of the
four-dimensional CFT. Our methods are general and would apply for arbitrary
dimensions, which we comment on.
| [
{
"created": "Wed, 5 Dec 2012 15:26:40 GMT",
"version": "v1"
},
{
"created": "Sun, 13 Jan 2013 15:21:55 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Lal",
"Shailesh",
""
]
] | We explicitly reorganise the partition function of an arbitrary CFT in four spacetime dimensions into a heat kernel form for the dual string spectrum on AdS(5). On very general grounds, the heat kernel answer can be expressed in terms of a convolution of the one-particle partition function of the four-dimensional CFT. Our methods are general and would apply for arbitrary dimensions, which we comment on. |
hep-th/0606205 | Sergey Solodukhin N. | Sergey N. Solodukhin | Entanglement entropy of black holes and AdS/CFT correspondence | 5 pages; minor typos corrected, minor changes in text. Version
accepted for publication in Phys. Rev. Lett | Phys.Rev.Lett. 97 (2006) 201601 | 10.1103/PhysRevLett.97.201601 | null | hep-th cond-mat.stat-mech gr-qc math.DG quant-ph | null | A recent proposal by Ryu and Takayanagi for a holographic interpretation of
entanglement entropy in conformal field theories dual to supergravity on
anti-de Sitter (adS) is generalized to include entanglement entropy of black
holes living on the boundary of adS. The generalized proposal is verified in
boundary dimensions $d=2$ and $d=4$ for both the UV divergent and UV finite
terms. In dimension $d=4$ an expansion of entanglement entropy in terms of size
$L$ of the subsystem outside the black hole is considered. A new term in the
entropy of dual strongly coupled CFT, which universally grows as $L^2\ln L$ and
is proportional to the value of the obstruction tensor at the black hole
horizon, is predicted.
| [
{
"created": "Wed, 21 Jun 2006 11:06:17 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jun 2006 14:17:36 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Oct 2006 19:54:52 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Solodukhin",
"Sergey N.",
""
]
] | A recent proposal by Ryu and Takayanagi for a holographic interpretation of entanglement entropy in conformal field theories dual to supergravity on anti-de Sitter (adS) is generalized to include entanglement entropy of black holes living on the boundary of adS. The generalized proposal is verified in boundary dimensions $d=2$ and $d=4$ for both the UV divergent and UV finite terms. In dimension $d=4$ an expansion of entanglement entropy in terms of size $L$ of the subsystem outside the black hole is considered. A new term in the entropy of dual strongly coupled CFT, which universally grows as $L^2\ln L$ and is proportional to the value of the obstruction tensor at the black hole horizon, is predicted. |
2103.07521 | Adam Ball | Adam Ball | Global First Laws of Accelerating Black Holes | Made clarifications and expanded conclusion | null | 10.1088/1361-6382/ac2139 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We generalize the first law of black hole mechanics to the rotating, charged
C-metric and to the Ernst metric, both of which have the charged C-metric as a
special case. All of these metrics are (3+1)-dimensional, have vanishing
cosmological constant, and physically describe a pair of black holes pulled
apart to null infinity by some external force. Our first laws are global in the
sense of applying to an entire patch of spacetime, as opposed to a neighborhood
of the black hole. They are formulated with respect to "boost time", whose
primacy is motivated by the celestial holographic approach to scattering
amplitudes.
| [
{
"created": "Fri, 12 Mar 2021 20:50:37 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 2021 20:51:01 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Aug 2021 14:15:04 GMT",
"version": "v3"
}
] | 2021-09-16 | [
[
"Ball",
"Adam",
""
]
] | We generalize the first law of black hole mechanics to the rotating, charged C-metric and to the Ernst metric, both of which have the charged C-metric as a special case. All of these metrics are (3+1)-dimensional, have vanishing cosmological constant, and physically describe a pair of black holes pulled apart to null infinity by some external force. Our first laws are global in the sense of applying to an entire patch of spacetime, as opposed to a neighborhood of the black hole. They are formulated with respect to "boost time", whose primacy is motivated by the celestial holographic approach to scattering amplitudes. |
2406.04974 | Javier Subils | Ant\'on F. Faedo, Carlos Hoyos, Maurizio Piai, Ronnie Rodgers, Javier
G. Subils | Light holographic dilatons near critical points | 35 pages + appendices, 12 figures | null | null | NORDITA 2024-019 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the relation between the emergence of a dilaton in gapped
(confining) field theories, and the presence of either complex fixed points or
instabilities in the strongly coupled dynamics in two classes of bottom-up
holographic models. We demonstrate that in one of the two classes there is a
critical line of first-order phase transitions (at zero temperature) that
terminates at a critical point. We calculate the mass spectrum of fluctuations
of the associated regular gravity backgrounds, which we interpret as bound
states in the dual field theories. In proximity to the second-order phase
transition, we find a parametrically light scalar state, and its composition
leads us to identify it as a dilaton.
| [
{
"created": "Fri, 7 Jun 2024 14:37:50 GMT",
"version": "v1"
}
] | 2024-06-10 | [
[
"Faedo",
"Antón F.",
""
],
[
"Hoyos",
"Carlos",
""
],
[
"Piai",
"Maurizio",
""
],
[
"Rodgers",
"Ronnie",
""
],
[
"Subils",
"Javier G.",
""
]
] | We investigate the relation between the emergence of a dilaton in gapped (confining) field theories, and the presence of either complex fixed points or instabilities in the strongly coupled dynamics in two classes of bottom-up holographic models. We demonstrate that in one of the two classes there is a critical line of first-order phase transitions (at zero temperature) that terminates at a critical point. We calculate the mass spectrum of fluctuations of the associated regular gravity backgrounds, which we interpret as bound states in the dual field theories. In proximity to the second-order phase transition, we find a parametrically light scalar state, and its composition leads us to identify it as a dilaton. |
2204.08447 | Shuvayu Roy | Sayantani Bhattacharyya, Pooja Jethwani, Milan Patra, Shuvayu Roy | Reparametrization Symmetry of Local Entropy Production on a Dynamical
Horizon | Published version | Phys. Rev. D 108 (2023), 104032 | 10.1103/PhysRevD.108.104032 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Recently, it has been shown that for a dynamical black hole in any higher
derivative theory of gravity, one could construct a spatial entropy current,
characterizing the in/outflow of entropy at every point on the horizon, as long
as the dynamics of the amplitude is small enough. However, the construction is
very much dependent on how we choose the spatial slicing of the horizon along
its null generators. In this note, we have shown that though both the entropy
density and the spatial entropy current change non-trivially under a
reparametrization of the null generator, the net entropy production, which is
given by the `time' derivative of entropy density plus the divergence of the
spatial current is invariant. We have explicitly verified this claim for the
particular case of dynamical black holes Einstein-Gauss-Bonnet theory.
| [
{
"created": "Mon, 18 Apr 2022 17:56:44 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2024 11:12:55 GMT",
"version": "v2"
}
] | 2024-03-13 | [
[
"Bhattacharyya",
"Sayantani",
""
],
[
"Jethwani",
"Pooja",
""
],
[
"Patra",
"Milan",
""
],
[
"Roy",
"Shuvayu",
""
]
] | Recently, it has been shown that for a dynamical black hole in any higher derivative theory of gravity, one could construct a spatial entropy current, characterizing the in/outflow of entropy at every point on the horizon, as long as the dynamics of the amplitude is small enough. However, the construction is very much dependent on how we choose the spatial slicing of the horizon along its null generators. In this note, we have shown that though both the entropy density and the spatial entropy current change non-trivially under a reparametrization of the null generator, the net entropy production, which is given by the `time' derivative of entropy density plus the divergence of the spatial current is invariant. We have explicitly verified this claim for the particular case of dynamical black holes Einstein-Gauss-Bonnet theory. |
2008.02281 | Eric R. Sharpe | W. Gu, E. Sharpe, H. Zou | GLSMs for exotic Grassmannians | LaTeX, 49 pages; v2: typos fixed | null | 10.1007/JHEP10(2020)200 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we explore nonabelian gauged linear sigma models (GLSMs) for
symplectic and orthogonal Grassmannians and flag manifolds, checking e.g.
global symmetries, Witten indices, and Calabi-Yau conditions, following up a
proposal in the math community. For symplectic Grassmannians, we check that the
Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant
quantum cohomology of the space.
| [
{
"created": "Wed, 5 Aug 2020 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2020 12:48:40 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Gu",
"W.",
""
],
[
"Sharpe",
"E.",
""
],
[
"Zou",
"H.",
""
]
] | In this paper we explore nonabelian gauged linear sigma models (GLSMs) for symplectic and orthogonal Grassmannians and flag manifolds, checking e.g. global symmetries, Witten indices, and Calabi-Yau conditions, following up a proposal in the math community. For symplectic Grassmannians, we check that the Coulomb branch vacua of the GLSM are consistent with ordinary and equivariant quantum cohomology of the space. |
2001.11057 | Samir Mathur | Samir D. Mathur | The VECRO hypothesis | 59 pages, 24 figures | null | 10.1142/S0218271820300098 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider three fundamental issues in quantum gravity: (a) the black hole
information paradox (b) the unboundedness of entropy that can be stored inside
a black hole horizon (c) the relation between the black hole horizon and the
cosmological horizon. With help from the small corrections theorem, we convert
each of these issues into a sharp conflict. We then argue that all three
conflicts can be resolved by the following hypothesis: {\it the vacuum
wavefunctional of quantum gravity contains a `vecro' component made of virtual
fluctuations of configurations of the same type that arise in the fuzzball
structure of black hole microstates}. Further, if we assume that causality
holds to leading order in gently curved spacetime, then we {\it must} have such
a vecro component in order to resolve the above conflicts. The term vecro
stands for `Virtual Extended Compression-Resistant Objects', and characterizes
the nature of the vacuum fluctuations that resolve the puzzles. It is
interesting that puzzle (c) may relate the role of quantum gravity in black
holes to observations in the sky.
| [
{
"created": "Wed, 29 Jan 2020 19:22:40 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Mathur",
"Samir D.",
""
]
] | We consider three fundamental issues in quantum gravity: (a) the black hole information paradox (b) the unboundedness of entropy that can be stored inside a black hole horizon (c) the relation between the black hole horizon and the cosmological horizon. With help from the small corrections theorem, we convert each of these issues into a sharp conflict. We then argue that all three conflicts can be resolved by the following hypothesis: {\it the vacuum wavefunctional of quantum gravity contains a `vecro' component made of virtual fluctuations of configurations of the same type that arise in the fuzzball structure of black hole microstates}. Further, if we assume that causality holds to leading order in gently curved spacetime, then we {\it must} have such a vecro component in order to resolve the above conflicts. The term vecro stands for `Virtual Extended Compression-Resistant Objects', and characterizes the nature of the vacuum fluctuations that resolve the puzzles. It is interesting that puzzle (c) may relate the role of quantum gravity in black holes to observations in the sky. |
2201.09342 | Volodymyr Gorkavenko | V.M. Gorkavenko, T.V. Gorkavenko, Yu.A. Sitenko, M.S. Tsarenkova | Induced vacuum current and magnetic flux in quantum scalar matter in the
background of a vortex defect with the Neumann boundary condition | 12 pages, 2 figures | Ukr. J. Phys. 2022, Vol.67 (1), 3-10 | 10.15407/ujpe67.1.3 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex in a
space of arbitrary dimension is considered as a gauge-flux-carrying tube that
is impenetrable for quantum matter. Charged scalar matter field is quantized in
the vortex background with the perfectly rigid (Neumann) boundary condition
imposed at the side surface of the vortex. We show that a current circulating
around the vortex is induced in the vacuum, if the Compton wavelength of the
matter field exceeds the transverse size of the vortex considerably. The vacuum
current is periodic in the value of the gauge flux of the vortex, providing a
quantum-field-theoretical manifestation of the Aharonov-Bohm effect. The vacuum
current leads to the appearance of an induced vacuum magnetic flux that for
some values of the tube thickness exceeds the vacuum magnetic flux induced by a
singular vortex filament. The results were compared to the results obtained
earlier in the case of the perfectly reflecting (Dirichlet) boundary condition
imposed at the side surface of the vortex. It is shown that the absolute value
of the induced vacuum current and the induced vacuum magnetic flux in the case
of the Neumann boundary condition is greater than in the case of the Dirichlet
boundary condition.
| [
{
"created": "Sun, 23 Jan 2022 18:42:37 GMT",
"version": "v1"
}
] | 2022-11-21 | [
[
"Gorkavenko",
"V. M.",
""
],
[
"Gorkavenko",
"T. V.",
""
],
[
"Sitenko",
"Yu. A.",
""
],
[
"Tsarenkova",
"M. S.",
""
]
] | A topological defect in the form of the Abrikosov-Nielsen-Olesen vortex in a space of arbitrary dimension is considered as a gauge-flux-carrying tube that is impenetrable for quantum matter. Charged scalar matter field is quantized in the vortex background with the perfectly rigid (Neumann) boundary condition imposed at the side surface of the vortex. We show that a current circulating around the vortex is induced in the vacuum, if the Compton wavelength of the matter field exceeds the transverse size of the vortex considerably. The vacuum current is periodic in the value of the gauge flux of the vortex, providing a quantum-field-theoretical manifestation of the Aharonov-Bohm effect. The vacuum current leads to the appearance of an induced vacuum magnetic flux that for some values of the tube thickness exceeds the vacuum magnetic flux induced by a singular vortex filament. The results were compared to the results obtained earlier in the case of the perfectly reflecting (Dirichlet) boundary condition imposed at the side surface of the vortex. It is shown that the absolute value of the induced vacuum current and the induced vacuum magnetic flux in the case of the Neumann boundary condition is greater than in the case of the Dirichlet boundary condition. |
1109.1185 | Ryuichi Nakayama | Ryuichi Nakayama | The Holographic Fluid on the Sphere Dual to the Schwarzschild Black Hole | 10 pages, no figures; v2: It turned out that even if a new term
a_3(r) P d\Omega_d^2 is added to the ansatz for the pressure-dependent part
of the metric, eq (4), Einstein equation is still solvable. Then the deformed
metric is parametrized by an arbitrary constant a_2. This new result is
added. No changes in the conclusion. Typos are also corrected | null | null | Report-no: EPHOU-11-006 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider deformation of the d+2 dimensional asymptotically flat
Schwarzschild black hole spacetime with the induced metric on a d-sphere at
$r=r_c$ held fixed. This is done without taking the near horizon limit. The
deformation is determined so that the $\Lambda=0$ vacuum Einstein equation is
satisfied and the metric is regular on the horizon. In this paper the velocity
of a dual fluid $v^i$ is assumed to be a Killing field and small, and the
deformed metric is obtained up to $O(v^2)$. At this order of hydrodynamic
expansion the dual fluid is an ideal one. The structure of the metric is fairly
different from the near horizon result of Bredberg and Strominger in
arXiv:1106.3084.
| [
{
"created": "Tue, 6 Sep 2011 13:45:12 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2011 03:35:11 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Nakayama",
"Ryuichi",
""
]
] | We consider deformation of the d+2 dimensional asymptotically flat Schwarzschild black hole spacetime with the induced metric on a d-sphere at $r=r_c$ held fixed. This is done without taking the near horizon limit. The deformation is determined so that the $\Lambda=0$ vacuum Einstein equation is satisfied and the metric is regular on the horizon. In this paper the velocity of a dual fluid $v^i$ is assumed to be a Killing field and small, and the deformed metric is obtained up to $O(v^2)$. At this order of hydrodynamic expansion the dual fluid is an ideal one. The structure of the metric is fairly different from the near horizon result of Bredberg and Strominger in arXiv:1106.3084. |
1206.5697 | Eric Bergshoeff | Eric A. Bergshoeff, Axel Kleinschmidt and Fabio Riccioni | Supersymmetric Domain Walls | 44 pages, 9 tables | null | 10.1103/PhysRevD.86.085043 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify the half-supersymmetric "domain walls", i.e. branes of
codimension one, in toroidally compactified IIA/IIB string theory and show to
which gauged supergravity theory each of these domain walls belong. We use as
input the requirement of supersymmetric Wess-Zumino terms, the properties of
the E11 Kac-Moody algebra and the embedding tensor formalism. We show that the
number of half-supersymmetric domain walls is a multiple of the number of
corresponding central charges in the supersymmetry algebra, where the
multiplicity is related to the degeneracy of the BPS conditions.
| [
{
"created": "Mon, 25 Jun 2012 14:45:37 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Riccioni",
"Fabio",
""
]
] | We classify the half-supersymmetric "domain walls", i.e. branes of codimension one, in toroidally compactified IIA/IIB string theory and show to which gauged supergravity theory each of these domain walls belong. We use as input the requirement of supersymmetric Wess-Zumino terms, the properties of the E11 Kac-Moody algebra and the embedding tensor formalism. We show that the number of half-supersymmetric domain walls is a multiple of the number of corresponding central charges in the supersymmetry algebra, where the multiplicity is related to the degeneracy of the BPS conditions. |
hep-th/9406099 | null | R. Iordanescu and P. Truini | Quantum groups and Jordan structures | 25 pages | null | null | null | hep-th math.QA | null | This paper is meant to be an informal introduction to Quantum Groups,
starting from its origins and motivations until the recent developments. We
call in particular the attention on the newly descovered relationship among
quantum groups, integrable models and Jordan structures.
| [
{
"created": "Wed, 15 Jun 1994 12:09:37 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Iordanescu",
"R.",
""
],
[
"Truini",
"P.",
""
]
] | This paper is meant to be an informal introduction to Quantum Groups, starting from its origins and motivations until the recent developments. We call in particular the attention on the newly descovered relationship among quantum groups, integrable models and Jordan structures. |
1711.03980 | Daniel Mayerson | John Golden and Daniel R. Mayerson | Mellin Bootstrap for Scalars in Generic Dimension | 11 pages + appendices. v2: references added, few minor revisions;
published version | JHEP06(2018)066 | 10.1007/JHEP06(2018)066 | LCTP-17-05 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the recently developed framework of the Mellin bootstrap to study
perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the
crossing-symmetric Mellin space formulation of correlation functions to
generate algebraic bootstrap equations by demanding that only physical
operators contribute to the OPE. We find that there are no perturbatively
interacting CFTs with only fundamental scalars in $d>6$ dimensions (to at least
second order in the perturbation). Our results can be seen as a modest step
towards understanding the space of interacting CFTs in $d>6$ and are consistent
with the intuition that no such CFTs exist.
| [
{
"created": "Fri, 10 Nov 2017 19:00:33 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2018 20:29:40 GMT",
"version": "v2"
}
] | 2018-06-18 | [
[
"Golden",
"John",
""
],
[
"Mayerson",
"Daniel R.",
""
]
] | We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin space formulation of correlation functions to generate algebraic bootstrap equations by demanding that only physical operators contribute to the OPE. We find that there are no perturbatively interacting CFTs with only fundamental scalars in $d>6$ dimensions (to at least second order in the perturbation). Our results can be seen as a modest step towards understanding the space of interacting CFTs in $d>6$ and are consistent with the intuition that no such CFTs exist. |
hep-th/9904037 | Jin-Mo Chung | J.-M. Chung | Lorentz and CPT Violating Chern-Simons Term in the Formulation of
Functional Integral | 5 pages, no figure, RevTex | Phys. Rev. D 60, 127901 (1999) | 10.1103/PhysRevD.60.127901 | MIT-CTP-2853 | hep-th | null | We show that in the functional integral formalism the (finite) coefficient of
the induced, Lorentz- and CPT-violating Chern-Simons term, arising from the
Lorentz- and CPT-violating fermion sector, is undetermined.
| [
{
"created": "Tue, 6 Apr 1999 23:41:07 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Chung",
"J. -M.",
""
]
] | We show that in the functional integral formalism the (finite) coefficient of the induced, Lorentz- and CPT-violating Chern-Simons term, arising from the Lorentz- and CPT-violating fermion sector, is undetermined. |
0910.4431 | Hidetoshi Awata | Hidetoshi Awata and Yasuhiko Yamada | Five-dimensional AGT Conjecture and the Deformed Virasoro Algebra | 12 pages, reference added, minor corrections (typos, notation
changes, etc) | JHEP 1001:125,2010 | 10.1007/JHEP01(2010)125 | null | hep-th math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study an analog of the AGT relation in five dimensions. We conjecture that
the instanton partition function of 5D N=1 pure SU(2) gauge theory coincides
with the inner product of the Gaiotto-like state in the deformed Virasoro
algebra. In four dimensional case, a relation between the Gaiotto construction
and the theory of Braverman and Etingof is also discussed.
| [
{
"created": "Fri, 23 Oct 2009 19:57:43 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Oct 2009 23:56:00 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 2009 03:02:55 GMT",
"version": "v3"
}
] | 2010-02-11 | [
[
"Awata",
"Hidetoshi",
""
],
[
"Yamada",
"Yasuhiko",
""
]
] | We study an analog of the AGT relation in five dimensions. We conjecture that the instanton partition function of 5D N=1 pure SU(2) gauge theory coincides with the inner product of the Gaiotto-like state in the deformed Virasoro algebra. In four dimensional case, a relation between the Gaiotto construction and the theory of Braverman and Etingof is also discussed. |
hep-th/0412331 | Thomas Klose | Thomas Fischbacher, Thomas Klose, Jan Plefka | Planar plane-wave matrix theory at the four loop order: Integrability
without BMN scaling | 59 pages, 6 figures. v2: reference added, minor additions | JHEP 0502 (2005) 039 | 10.1088/1126-6708/2005/02/039 | AEI-2004-098, ULB-TH-05-03 | hep-th | null | We study SU(N) plane-wave matrix theory up to fourth perturbative order in
its large N planar limit. The effective Hamiltonian in the closed su(2)
subsector of the model is explicitly computed through a specially tailored
computer program to perform large scale distributed symbolic algebra and
generation of planar graphs. The number of graphs here was in the deep
billions.
The outcome of our computation establishes the four-loop integrability of the
planar plane-wave matrix model. To elucidate the integrable structure we apply
the recent technology of the perturbative asymptotic Bethe Ansatz to our model.
The resulting S-matrix turns out to be structurally similar but nevertheless
distinct to the so far considered long-range spin-chain S-matrices of
Inozemtsev, Beisert-Dippel-Staudacher and Arutyunov-Frolov-Staudacher in the
AdS/CFT context.
In particular our result displays a breakdown of BMN scaling at the four-loop
order. That is, while there exists an appropriate identification of the matrix
theory mass parameter with the coupling constant of the N=4 superconformal
Yang-Mills theory which yields an eigth order lattice derivative for well
seperated impurities (naively implying BMN scaling) the detailed impurity
contact interactions ruin this scaling property at the four-loop order.
Moreover we study the issue of ``wrapping'' interactions, which show up for
the first time at this loop-order through a Konishi descendant length four
operator.
| [
{
"created": "Fri, 31 Dec 2004 16:48:54 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2005 13:09:29 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Fischbacher",
"Thomas",
""
],
[
"Klose",
"Thomas",
""
],
[
"Plefka",
"Jan",
""
]
] | We study SU(N) plane-wave matrix theory up to fourth perturbative order in its large N planar limit. The effective Hamiltonian in the closed su(2) subsector of the model is explicitly computed through a specially tailored computer program to perform large scale distributed symbolic algebra and generation of planar graphs. The number of graphs here was in the deep billions. The outcome of our computation establishes the four-loop integrability of the planar plane-wave matrix model. To elucidate the integrable structure we apply the recent technology of the perturbative asymptotic Bethe Ansatz to our model. The resulting S-matrix turns out to be structurally similar but nevertheless distinct to the so far considered long-range spin-chain S-matrices of Inozemtsev, Beisert-Dippel-Staudacher and Arutyunov-Frolov-Staudacher in the AdS/CFT context. In particular our result displays a breakdown of BMN scaling at the four-loop order. That is, while there exists an appropriate identification of the matrix theory mass parameter with the coupling constant of the N=4 superconformal Yang-Mills theory which yields an eigth order lattice derivative for well seperated impurities (naively implying BMN scaling) the detailed impurity contact interactions ruin this scaling property at the four-loop order. Moreover we study the issue of ``wrapping'' interactions, which show up for the first time at this loop-order through a Konishi descendant length four operator. |
0911.4603 | Chih-Hao Fu | Chih-Hao Fu | Generating MHV super-vertices in light-cone gauge | 25 pages, 7 figures, JHEP3 style; v2: references added, some typos
corrected; Clarification on the condition used to remove one Grassmann
variable | JHEP 1004:044,2010 | 10.1007/JHEP04(2010)044 | DCPT-09/85 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We constructe the $\mathcal{N}=1$ SYM lagrangian in light-cone gauge using
chiral superfields instead of the standard vector superfield approach and
derive the MHV lagrangian. The canonical transformations of the gauge field and
gaugino fields are summarised by the transformation condition of chiral
superfields. We show that $\mathcal{N}=1$ MHV super-vertices can be described
by a formula similar to that of the $\mathcal{N}=4$ MHV super-amplitude. In the
discussions we briefly remark on how to derive Nair's formula for
$\mathcal{N}=4$ SYM theory directly from light-cone lagrangian.
| [
{
"created": "Tue, 24 Nov 2009 12:13:04 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Nov 2009 18:46:03 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Feb 2010 20:08:01 GMT",
"version": "v3"
}
] | 2010-05-25 | [
[
"Fu",
"Chih-Hao",
""
]
] | We constructe the $\mathcal{N}=1$ SYM lagrangian in light-cone gauge using chiral superfields instead of the standard vector superfield approach and derive the MHV lagrangian. The canonical transformations of the gauge field and gaugino fields are summarised by the transformation condition of chiral superfields. We show that $\mathcal{N}=1$ MHV super-vertices can be described by a formula similar to that of the $\mathcal{N}=4$ MHV super-amplitude. In the discussions we briefly remark on how to derive Nair's formula for $\mathcal{N}=4$ SYM theory directly from light-cone lagrangian. |
2009.13588 | Johannes Th\"urigen | Andreas G. A. Pithis, Johannes Th\"urigen | Phase transitions in TGFT: Functional renormalization group in the
cyclic-melonic potential approximation and equivalence to O$(N)$ models | 38 pages + 8 appendix, 8 figures, 4 tables, typos corrected,
consistent with published version | J. High Energ. Phys. 2020, 159 (2020) | 10.1007/JHEP12(2020)159 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the group field theory approach to quantum gravity, continuous spacetime
geometry is expected to emerge via phase transition. However, understanding the
phase diagram and finding fixed points under the renormalization group flow
remains a major challenge. In this work we tackle the issue for a tensorial
group field theory using the functional renormalization group method. We derive
the flow equation for the effective potential at any order restricting to a
subclass of tensorial interactions called cyclic melonic and projecting to a
constant field in group space. For a tensor field of rank $r$ on U$(1)$ we
explicitly calculate beta functions and find equivalence with those of O$(N)$
models but with an effective dimension flowing from $r-1$ to zero. In the $r-1$
dimensional regime, the equivalence to O$(N)$ models is modified by a tensor
specific flow of the anomalous dimension with the consequence that the
Wilson-Fisher type fixed point solution has two branches. However, due to the
flow to dimension zero, fixed points describing a transition between a broken
and unbroken phase do not persist and we find universal symmetry restoration.
To overcome this limitation, it is necessary to go beyond compact configuration
space.
| [
{
"created": "Mon, 28 Sep 2020 19:08:51 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2020 09:46:37 GMT",
"version": "v2"
}
] | 2021-01-01 | [
[
"Pithis",
"Andreas G. A.",
""
],
[
"Thürigen",
"Johannes",
""
]
] | In the group field theory approach to quantum gravity, continuous spacetime geometry is expected to emerge via phase transition. However, understanding the phase diagram and finding fixed points under the renormalization group flow remains a major challenge. In this work we tackle the issue for a tensorial group field theory using the functional renormalization group method. We derive the flow equation for the effective potential at any order restricting to a subclass of tensorial interactions called cyclic melonic and projecting to a constant field in group space. For a tensor field of rank $r$ on U$(1)$ we explicitly calculate beta functions and find equivalence with those of O$(N)$ models but with an effective dimension flowing from $r-1$ to zero. In the $r-1$ dimensional regime, the equivalence to O$(N)$ models is modified by a tensor specific flow of the anomalous dimension with the consequence that the Wilson-Fisher type fixed point solution has two branches. However, due to the flow to dimension zero, fixed points describing a transition between a broken and unbroken phase do not persist and we find universal symmetry restoration. To overcome this limitation, it is necessary to go beyond compact configuration space. |
0905.3501 | Michael Kroyter | Michael Kroyter | Comments on superstring field theory and its vacuum solution | 15 pages, 1 figure; v2. typos corrected | JHEP 0908:048,2009 | 10.1088/1126-6708/2009/08/048 | MIT-CTP-4036, TAUP-2899-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that the NS cubic superstring field theories are classically
equivalent, regardless of the choice of Y_{-2} in their definition, and
illustrate it by an explicit evaluation of the action of Erler's solution. We
then turn to examine this solution. First, we explain that its cohomology is
trivial also in the Ramond sector. Then, we show that the boundary state
corresponding to it is identically zero. We conclude that this solution is
indeed a closed string vacuum solution despite the absence of a tachyon field
on the BPS D-brane.
| [
{
"created": "Thu, 21 May 2009 18:57:55 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Sep 2009 16:20:44 GMT",
"version": "v2"
}
] | 2009-09-11 | [
[
"Kroyter",
"Michael",
""
]
] | We prove that the NS cubic superstring field theories are classically equivalent, regardless of the choice of Y_{-2} in their definition, and illustrate it by an explicit evaluation of the action of Erler's solution. We then turn to examine this solution. First, we explain that its cohomology is trivial also in the Ramond sector. Then, we show that the boundary state corresponding to it is identically zero. We conclude that this solution is indeed a closed string vacuum solution despite the absence of a tachyon field on the BPS D-brane. |
hep-th/0609031 | Vladimir Miransky | Alex Buchel, Junji Jia, and V.A. Miransky | Dynamical stabilization of runaway potentials at finite density | revtex4, 4 pages; v.2: journal version | Phys.Lett.B647:305-308,2007 | 10.1016/j.physletb.2007.02.010 | UWO-TH-06/14 | hep-th cond-mat.supr-con hep-ph | null | We study four dimensional non-abelian gauge theories with classical moduli.
Introducing a chemical potential for a flavor charge causes moduli to become
unstable and start condensing. We show that the moduli condensation in the
presence of a chemical potential generates nonabelian field strength
condensates. These condensates are homogeneous but non-isotropic. The end point
of the condensation process is a stable homogeneous, but non-isotropic, vacuum
in which both gauge and flavor symmetries and the rotational invariance are
spontaneously broken. Possible applications of this phenomenon for the gauge
theory/string theory correspondence and in cosmology are briefly discussed.
| [
{
"created": "Mon, 4 Sep 2006 18:08:00 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Mar 2007 02:41:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Buchel",
"Alex",
""
],
[
"Jia",
"Junji",
""
],
[
"Miransky",
"V. A.",
""
]
] | We study four dimensional non-abelian gauge theories with classical moduli. Introducing a chemical potential for a flavor charge causes moduli to become unstable and start condensing. We show that the moduli condensation in the presence of a chemical potential generates nonabelian field strength condensates. These condensates are homogeneous but non-isotropic. The end point of the condensation process is a stable homogeneous, but non-isotropic, vacuum in which both gauge and flavor symmetries and the rotational invariance are spontaneously broken. Possible applications of this phenomenon for the gauge theory/string theory correspondence and in cosmology are briefly discussed. |
hep-th/0011049 | Guendel Eduardo | E.I.Guendelman | The volume element of space-time and scale invariance | contribution to the IARD2000 conference, Bar Ilan University, Ramat
Gan, Israel, 26-28 June 2000 | Found.Phys. 31 (2001) 1019-1037 | null | null | hep-th | null | Scale invariance is considered in the context of gravitational theories where
the action, in the first order formalism, is of the form $S = \int L_{1} \Phi
d^4x$ + $\int L_{2}\sqrt{-g}d^4x$ where the volume element $\Phi d^4x$ is
independent of the metric. For global scale invariance, a "dilaton" $\phi$ has
to be introduced, with non-trivial potentials $V(\phi)$ = $f_{1}e^{\alpha\phi}$
in $L_1$ and $U(\phi)$ = $f_{2}e^{2\alpha\phi}$ in $L_2$. This leads to
non-trivial mass generation and a potential for $\phi$ which is interesting for
inflation. Interpolating models for natural transition from inflation to a
slowly accelerated universe at late times appear naturally. This is also
achieved for "Quintessential models", which are scale invariant but formulated
with the use of volume element $\Phi d^4x$ alone. For closed strings and branes
(including the supersymmetric cases), the modified measure formulation is
possible and does not require the introduction of a particular scale (the
string or brane tension) from the begining but rather these appear as
integration constants.
| [
{
"created": "Wed, 8 Nov 2000 10:48:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Guendelman",
"E. I.",
""
]
] | Scale invariance is considered in the context of gravitational theories where the action, in the first order formalism, is of the form $S = \int L_{1} \Phi d^4x$ + $\int L_{2}\sqrt{-g}d^4x$ where the volume element $\Phi d^4x$ is independent of the metric. For global scale invariance, a "dilaton" $\phi$ has to be introduced, with non-trivial potentials $V(\phi)$ = $f_{1}e^{\alpha\phi}$ in $L_1$ and $U(\phi)$ = $f_{2}e^{2\alpha\phi}$ in $L_2$. This leads to non-trivial mass generation and a potential for $\phi$ which is interesting for inflation. Interpolating models for natural transition from inflation to a slowly accelerated universe at late times appear naturally. This is also achieved for "Quintessential models", which are scale invariant but formulated with the use of volume element $\Phi d^4x$ alone. For closed strings and branes (including the supersymmetric cases), the modified measure formulation is possible and does not require the introduction of a particular scale (the string or brane tension) from the begining but rather these appear as integration constants. |
1308.1898 | Halil Kuyrukcu | Halil Kuyrukcu | The non-Abelian Weyl-Yang-Kaluza-Klein gravity model | Revised version | General Relativity and Gravitation 2014; 46: 1751 | 10.1007/s10714-014-1751-x | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The Weyl$-$Yang gravitational gauge theory is investigated in the structure
of a pure higher-dimensional non-Abelian Kaluza$-$Klein background. We
construct the dimensionally reduced field equations and stress-energy-momentum
tensors as well as the four dimensional modified Weyl$-$Yang$+$Yang$-$Mills
theory from an arbitrary curved $internal$ space in the anholonomic frame which
are the extensions of our previous model for the non-Abelian case. In
particular, the coset space reduction is considered to explicitly obtain the
interactions between the gravitational and the gauge fields. The resulting
equations not only appear to be generalization of the well-established
equations of non-Abelian theory but also contain intrinsically the generalized
gravitational source term which does not exist in the literature so far and the
Yang$-$Mills force density which is exactly equivalent to the negative gradient
of a Yang$-$Mills quadratic invariant.
| [
{
"created": "Thu, 8 Aug 2013 16:26:16 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Sep 2021 17:41:15 GMT",
"version": "v2"
}
] | 2021-09-24 | [
[
"Kuyrukcu",
"Halil",
""
]
] | The Weyl$-$Yang gravitational gauge theory is investigated in the structure of a pure higher-dimensional non-Abelian Kaluza$-$Klein background. We construct the dimensionally reduced field equations and stress-energy-momentum tensors as well as the four dimensional modified Weyl$-$Yang$+$Yang$-$Mills theory from an arbitrary curved $internal$ space in the anholonomic frame which are the extensions of our previous model for the non-Abelian case. In particular, the coset space reduction is considered to explicitly obtain the interactions between the gravitational and the gauge fields. The resulting equations not only appear to be generalization of the well-established equations of non-Abelian theory but also contain intrinsically the generalized gravitational source term which does not exist in the literature so far and the Yang$-$Mills force density which is exactly equivalent to the negative gradient of a Yang$-$Mills quadratic invariant. |
0801.0810 | Amilcar Queiroz Mr | Luciano Barosi, Francisco A. Brito and Amilcar R. Queiroz | Noncommutative field gas driven inflation | Reference added. Version to appear in Journal of Cosmology and
Astroparticle Physics - JCAP | JCAP0804:005,2008 | 10.1088/1475-7516/2008/04/005 | null | hep-th astro-ph gr-qc hep-ph | null | We investigate early time inflationary scenarios in an Universe filled with a
dilute noncommutative bosonic gas at high temperature. A noncommutative bosonic
gas is a gas composed of bosonic scalar field with noncommutative field space
on a commutative spacetime. Such noncommutative field theories was recently
introduced as a generalization of quantum mechanics on a noncommutative
spacetime. As key features of these theories are Lorentz invariance violation
and CPT violation. In the present study we use a noncommutative bosonic field
theory that besides the noncommutative parameter $\theta$ shows up a further
parameter $\sigma$. This parameter $\sigma$ controls the range of the
noncommutativity and acts as a regulator for the theory. Both parameters play a
key role in the modified dispersion relations of the noncommutative bosonic
field, leading to possible striking consequences for phenomenology. In this
work we obtain an equation of state $p=\omega(\sigma,\theta;\beta)\rho$ for the
noncommutative bosonic gas relating pressure $p$ and energy density $\rho$, in
the limit of high temperature. We analyse possible behaviours for this gas
parameters $\sigma$, $\theta$ and $\beta$, so that $-1\leq\omega<-1/3$, which
is the region where the Universe enters an accelerated phase.
| [
{
"created": "Sat, 5 Jan 2008 14:35:54 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Jan 2008 02:17:29 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Mar 2008 21:17:26 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Barosi",
"Luciano",
""
],
[
"Brito",
"Francisco A.",
""
],
[
"Queiroz",
"Amilcar R.",
""
]
] | We investigate early time inflationary scenarios in an Universe filled with a dilute noncommutative bosonic gas at high temperature. A noncommutative bosonic gas is a gas composed of bosonic scalar field with noncommutative field space on a commutative spacetime. Such noncommutative field theories was recently introduced as a generalization of quantum mechanics on a noncommutative spacetime. As key features of these theories are Lorentz invariance violation and CPT violation. In the present study we use a noncommutative bosonic field theory that besides the noncommutative parameter $\theta$ shows up a further parameter $\sigma$. This parameter $\sigma$ controls the range of the noncommutativity and acts as a regulator for the theory. Both parameters play a key role in the modified dispersion relations of the noncommutative bosonic field, leading to possible striking consequences for phenomenology. In this work we obtain an equation of state $p=\omega(\sigma,\theta;\beta)\rho$ for the noncommutative bosonic gas relating pressure $p$ and energy density $\rho$, in the limit of high temperature. We analyse possible behaviours for this gas parameters $\sigma$, $\theta$ and $\beta$, so that $-1\leq\omega<-1/3$, which is the region where the Universe enters an accelerated phase. |
1203.0561 | Diego Trancanelli | Mariano Chernicoff, Daniel Fernandez, David Mateos, Diego Trancanelli | Jet quenching in a strongly coupled anisotropic plasma | 22 pages, 10 figures; v2: minor changes, added reference. Extends
arXiv:1202.3696 | JHEP 1208:041,2012 | 10.1007/JHEP08(2012)041 | DAMTP-2012-15, ICCUB-12-098, MAD-TH-12-02 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The jet quenching parameter of an anisotropic plasma depends on the relative
orientation between the anisotropic direction, the direction of motion of the
parton, and the direction along which the momentum broadening is measured. We
calculate the jet quenching parameter of an anisotropic, strongly coupled N=4
plasma by means of its gravity dual. We present the results for arbitrary
orientations and arbitrary values of the anisotropy. The anisotropic value can
be larger or smaller than the isotropic one, and this depends on whether the
comparison is made at equal temperatures or at equal entropy densities. We
compare our results to analogous calculations for the real-world quark-gluon
plasma and find agreement in some cases and disagreement in others.
| [
{
"created": "Fri, 2 Mar 2012 20:41:44 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2012 11:55:11 GMT",
"version": "v2"
}
] | 2012-09-18 | [
[
"Chernicoff",
"Mariano",
""
],
[
"Fernandez",
"Daniel",
""
],
[
"Mateos",
"David",
""
],
[
"Trancanelli",
"Diego",
""
]
] | The jet quenching parameter of an anisotropic plasma depends on the relative orientation between the anisotropic direction, the direction of motion of the parton, and the direction along which the momentum broadening is measured. We calculate the jet quenching parameter of an anisotropic, strongly coupled N=4 plasma by means of its gravity dual. We present the results for arbitrary orientations and arbitrary values of the anisotropy. The anisotropic value can be larger or smaller than the isotropic one, and this depends on whether the comparison is made at equal temperatures or at equal entropy densities. We compare our results to analogous calculations for the real-world quark-gluon plasma and find agreement in some cases and disagreement in others. |
1507.08832 | Stefano Bellucci | S. Bellucci, A. A. Saharian, N. A. Saharyan | Casimir effect for scalar current densities in topologically nontrivial
spaces | 25 pages, 5 figures, PACS numbers: 03.70.+k, 11.10.Kk, 04.20.Gz | Eur. Phys. J. C 75 (2015) 378 | 10.1140/epjc/s10052-015-3612-5 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the Hadamard function and the vacuum expectation value (VEV) of
the current density for a charged scalar field, induced by flat boundaries in
spacetimes with an arbitrary number of toroidally compactified spatial
dimensions. The field operator obeys the Robin conditions on the boundaries and
quasiperiodicity conditions with general phases along compact dimensions. In
addition, the presence of a constant gauge field is assumed. The latter induces
Aharonov-Bohm-type effect on the VEVs. There is a region in the space of the
parameters in Robin boundary conditions where the vacuum state becomes
unstable. The stability condition depends on the lengths of compact dimensions
and is less restrictive than that for background with trivial topology. The
vacuum current density is a periodic function of the magnetic flux, enclosed by
compact dimensions, with the period equal to the flux quantum. It is explicitly
decomposed into the boundary-free and boundary-induced contributions. In sharp
contrast to the VEVs of the field squared and the energy-momentum tensor, the
current density does not contain surface divergences. Moreover, for Dirichlet
condition it vanishes on the boundaries. The normal derivative of the current
density on the boundaries vanish for both Dirichlet and Neumann conditions and
is nonzero for general Robin conditions. When the separation between the plates
is smaller than other length scales, the behavior of the current density is
essentially different for non-Neumann and Neumann boundary conditions. In the
former case, the total current density in the region between the plates tends
to zero. For Neumann boundary condition on both plates, the current density is
dominated by the interference part and is inversely proportional to the
separation.
| [
{
"created": "Fri, 31 Jul 2015 11:18:38 GMT",
"version": "v1"
}
] | 2015-08-27 | [
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Saharyan",
"N. A.",
""
]
] | We evaluate the Hadamard function and the vacuum expectation value (VEV) of the current density for a charged scalar field, induced by flat boundaries in spacetimes with an arbitrary number of toroidally compactified spatial dimensions. The field operator obeys the Robin conditions on the boundaries and quasiperiodicity conditions with general phases along compact dimensions. In addition, the presence of a constant gauge field is assumed. The latter induces Aharonov-Bohm-type effect on the VEVs. There is a region in the space of the parameters in Robin boundary conditions where the vacuum state becomes unstable. The stability condition depends on the lengths of compact dimensions and is less restrictive than that for background with trivial topology. The vacuum current density is a periodic function of the magnetic flux, enclosed by compact dimensions, with the period equal to the flux quantum. It is explicitly decomposed into the boundary-free and boundary-induced contributions. In sharp contrast to the VEVs of the field squared and the energy-momentum tensor, the current density does not contain surface divergences. Moreover, for Dirichlet condition it vanishes on the boundaries. The normal derivative of the current density on the boundaries vanish for both Dirichlet and Neumann conditions and is nonzero for general Robin conditions. When the separation between the plates is smaller than other length scales, the behavior of the current density is essentially different for non-Neumann and Neumann boundary conditions. In the former case, the total current density in the region between the plates tends to zero. For Neumann boundary condition on both plates, the current density is dominated by the interference part and is inversely proportional to the separation. |
1801.09221 | Marcio Capri | M. A. L. Capri, S. P. Sorella, R. C. Terin, H. C. Toledo | Renormalizability of pure $\mathcal{N}=1$ Super Yang-Mills in the
Wess-Zumino gauge in the presence of the local composite operators $A^{2}$
and $\bar{\lambda}\lambda$ | 20 pages, no figures | null | 10.1142/S0217751X18501610 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The $\mathcal{N}=1$ Super Yang-Mills theory in the presence of the local
composite operator $A^2$ is analyzed in the Wess-Zumino gauge by employing the
Landau gauge fixing condition. Due to the superymmetric structure of the
theory, two more composite operators, $A_\mu \gamma_\mu \lambda$ and
$\bar{\lambda}\lambda$, related to the susy variations of $A^2$ are also
introduced. A BRST invariant action containing all these operators is obtained.
An all order proof of the multiplicative renormalizability of the resulting
theory is then provided by means of the algebraic renormalization setup.
Though, due to the non-linear realization of the supersymmetry in the
Wess-Zumino gauge, the renormalization factor of the gauge field turns out to
be different from that of the gluino.
| [
{
"created": "Sun, 28 Jan 2018 13:02:05 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Capri",
"M. A. L.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Terin",
"R. C.",
""
],
[
"Toledo",
"H. C.",
""
]
] | The $\mathcal{N}=1$ Super Yang-Mills theory in the presence of the local composite operator $A^2$ is analyzed in the Wess-Zumino gauge by employing the Landau gauge fixing condition. Due to the superymmetric structure of the theory, two more composite operators, $A_\mu \gamma_\mu \lambda$ and $\bar{\lambda}\lambda$, related to the susy variations of $A^2$ are also introduced. A BRST invariant action containing all these operators is obtained. An all order proof of the multiplicative renormalizability of the resulting theory is then provided by means of the algebraic renormalization setup. Though, due to the non-linear realization of the supersymmetry in the Wess-Zumino gauge, the renormalization factor of the gauge field turns out to be different from that of the gluino. |
hep-th/9905190 | Grigore Dan | Dan Radu Grigore | On the Quantization of the Gravitational Field | 32 pages, LATEX2E | Class.Quant.Grav. 17 (2000) 319-344 | null | null | hep-th | null | We present a new point of view on the quantization of the gravitational
field, namely we use exclusively the quantum framework of the second
quantization. More explicitly, we take as one-particle Hilbert space,
$H_{graviton}$ the unitary irreducible representation of the Poincar\'e group
corresponding to a massless particle of helicity 2 and apply the second
quantization procedure with Einstein-Bose statistics. The resulting Hilbert
space ${\cal F}^{+}(H_{graviton})$ is, by definition, the Hilbert space of the
gravitational field. Then we prove that this Hilbert space is canonically
isomorphic to a space of the type $Ker(Q)/Im(Q)$ where $Q$ is a supercharge
defined in an extension of the Hilbert space ${\cal F}^{+} (H}_{graviton})$ by
the inclusion of ghosts: some Fermion ghosts $u_{\mu}, \tilde{u}_{\mu}$ which
are vector fields and a Bosonic ghost $\Phi$ which is a scalar field. This has
to be contrasted to the usual approaches where only the Fermion ghosts are
considered. However, a rigorous proof that this is, indeed, possible seems to
be lacking from the literature.
| [
{
"created": "Wed, 26 May 1999 07:00:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Grigore",
"Dan Radu",
""
]
] | We present a new point of view on the quantization of the gravitational field, namely we use exclusively the quantum framework of the second quantization. More explicitly, we take as one-particle Hilbert space, $H_{graviton}$ the unitary irreducible representation of the Poincar\'e group corresponding to a massless particle of helicity 2 and apply the second quantization procedure with Einstein-Bose statistics. The resulting Hilbert space ${\cal F}^{+}(H_{graviton})$ is, by definition, the Hilbert space of the gravitational field. Then we prove that this Hilbert space is canonically isomorphic to a space of the type $Ker(Q)/Im(Q)$ where $Q$ is a supercharge defined in an extension of the Hilbert space ${\cal F}^{+} (H}_{graviton})$ by the inclusion of ghosts: some Fermion ghosts $u_{\mu}, \tilde{u}_{\mu}$ which are vector fields and a Bosonic ghost $\Phi$ which is a scalar field. This has to be contrasted to the usual approaches where only the Fermion ghosts are considered. However, a rigorous proof that this is, indeed, possible seems to be lacking from the literature. |
1411.2042 | Robert Shrock | Yan-Liang Shi and Robert Shrock | Renormalization-Group Evolution of Chiral Gauge Theories | 28 pages, latex | Phys. Rev. D91, 045004 (2015) | 10.1103/PhysRevD.91.045004 | YITP-SB-2014-39 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the ultraviolet to infrared evolution and analyze possible types
of infrared behavior for several asymptotically free chiral gauge theories with
gauge group SU($N$) and massless chiral fermions transforming according to a
symmetric rank-2 tensor representation $S$ and $N+4$ copies (flavors) of a
conjugate fundamental representation $\bar F$, together with a vectorlike
subsector with chiral fermions in higher-dimensional representation(s). We
construct and study three such chiral gauge theories. These have respective
vectorlike subsectors comprised of (a) $p$ copies of fermions in the adjoint
representation, (b) $N = 2k$ even and $p$ copies of fermions in the
antisymmetric rank-$k$ tensor representation, and (c) $p$ copies of $\{S + \bar
S\}$ fermions. Results are presented for beta functions, their infrared zeros,
and predictions from the most-attractive-channel approach for the formation of
bilinear fermion condensates. Importantly, we show that for these theories, the
expected ultraviolet to infrared evolution obeys a conjectured inequality
concerning the field degrees of freedom for all values of the parameters $N$
and $p$ characterizing each theory.
| [
{
"created": "Fri, 7 Nov 2014 21:43:39 GMT",
"version": "v1"
}
] | 2015-02-05 | [
[
"Shi",
"Yan-Liang",
""
],
[
"Shrock",
"Robert",
""
]
] | We calculate the ultraviolet to infrared evolution and analyze possible types of infrared behavior for several asymptotically free chiral gauge theories with gauge group SU($N$) and massless chiral fermions transforming according to a symmetric rank-2 tensor representation $S$ and $N+4$ copies (flavors) of a conjugate fundamental representation $\bar F$, together with a vectorlike subsector with chiral fermions in higher-dimensional representation(s). We construct and study three such chiral gauge theories. These have respective vectorlike subsectors comprised of (a) $p$ copies of fermions in the adjoint representation, (b) $N = 2k$ even and $p$ copies of fermions in the antisymmetric rank-$k$ tensor representation, and (c) $p$ copies of $\{S + \bar S\}$ fermions. Results are presented for beta functions, their infrared zeros, and predictions from the most-attractive-channel approach for the formation of bilinear fermion condensates. Importantly, we show that for these theories, the expected ultraviolet to infrared evolution obeys a conjectured inequality concerning the field degrees of freedom for all values of the parameters $N$ and $p$ characterizing each theory. |
0709.1028 | Umpei Miyamoto | Umpei Miyamoto | Analytic evidence for the Gubser-Mitra conjecture | 9 pages, 2 figures, typos fixed, to appear in Phys. Lett. B | Phys.Lett.B659:380-384,2008 | 10.1016/j.physletb.2007.10.088 | WU-AP/270/07 | hep-th gr-qc | null | A simple master equation for the static perturbation of charged black strings
is derived while employing the gauge proposed by Kol. As the charge is varied
it is found that the potential in the master equation for the perturbations
becomes positive exactly when the specific heat turns positive thus forbidding
a bound state and the onset of the Gregory-Laflamme instability. It can safely
be said that this is the first analytic and explicit evidence for the
Gubser-Mitra conjecture, correlating the classical and thermodynamic
instabilities of black branes. Possible generalizations of the analysis are
also discussed.
| [
{
"created": "Fri, 7 Sep 2007 09:41:48 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Sep 2007 19:21:50 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Oct 2007 09:59:12 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Miyamoto",
"Umpei",
""
]
] | A simple master equation for the static perturbation of charged black strings is derived while employing the gauge proposed by Kol. As the charge is varied it is found that the potential in the master equation for the perturbations becomes positive exactly when the specific heat turns positive thus forbidding a bound state and the onset of the Gregory-Laflamme instability. It can safely be said that this is the first analytic and explicit evidence for the Gubser-Mitra conjecture, correlating the classical and thermodynamic instabilities of black branes. Possible generalizations of the analysis are also discussed. |
hep-th/0012022 | Domenico Seminara | L. Cantini, P. Menotti and D. Seminara | Hamiltonian Approach To 2+1 Dimensional Gravity | Latex 10 pages; contribution to the Proceedings of the Marcel
Grossmann Meeting (MG9) (electronic version) | null | null | null | hep-th gr-qc | null | It is shown that the reduced particle dynamics of 2+1 dimensional gravity in
the maximally slicing gauge is of hamiltonian nature. We give the exact
diffeomorphism which transforms the expression of the spinning cone geometry in
the Deser, Jackiw, 't Hooft gauge to the maximally slicing gauge. It is
explicitly shown that the boundary term in the action, written in hamiltonian
form gives the Hamiltonian for the reduced particle dynamics. The quantum
mechanical translation of the two particle Hamiltonian is given and the Green
function computed.
| [
{
"created": "Mon, 4 Dec 2000 17:58:09 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Cantini",
"L.",
""
],
[
"Menotti",
"P.",
""
],
[
"Seminara",
"D.",
""
]
] | It is shown that the reduced particle dynamics of 2+1 dimensional gravity in the maximally slicing gauge is of hamiltonian nature. We give the exact diffeomorphism which transforms the expression of the spinning cone geometry in the Deser, Jackiw, 't Hooft gauge to the maximally slicing gauge. It is explicitly shown that the boundary term in the action, written in hamiltonian form gives the Hamiltonian for the reduced particle dynamics. The quantum mechanical translation of the two particle Hamiltonian is given and the Green function computed. |
2307.12420 | Robert Saskowski | James T. Liu and Robert J. Saskowski | Consistent truncations in higher derivative supergravity | 34 pages; references added | JHEP 09 (2023) 136 | 10.1007/JHEP09(2023)136 | LCTP-23-11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the torus reduction of heterotic supergravity in the presence of
four-derivative corrections. In particular, the reduction on $T^n$ generically
leads to a half-maximal supergravity coupled to $n$ vector multiplets, and we
show that it is consistent to truncate out said vector multiplets. This is done
by the analysis of both the bosonic equations of motion and the Killing spinor
equations. As an application of the consistent truncation, we examine the
four-derivative corrected BPS black string that reduces to a black hole in
minimal nine-dimensional supergravity.
| [
{
"created": "Sun, 23 Jul 2023 20:10:00 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Jul 2023 17:38:37 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Sep 2023 19:14:59 GMT",
"version": "v3"
}
] | 2023-09-22 | [
[
"Liu",
"James T.",
""
],
[
"Saskowski",
"Robert J.",
""
]
] | We consider the torus reduction of heterotic supergravity in the presence of four-derivative corrections. In particular, the reduction on $T^n$ generically leads to a half-maximal supergravity coupled to $n$ vector multiplets, and we show that it is consistent to truncate out said vector multiplets. This is done by the analysis of both the bosonic equations of motion and the Killing spinor equations. As an application of the consistent truncation, we examine the four-derivative corrected BPS black string that reduces to a black hole in minimal nine-dimensional supergravity. |
hep-th/9909070 | Skenderis Kostas | Kostas Skenderis and Paul K. Townsend | Gravitational Stability and Renormalization-Group Flow | 12p, Latex; v2:one reference added, version to appear in PLB | Phys.Lett. B468 (1999) 46-51 | 10.1016/S0370-2693(99)01212-5 | DAMTP-1999-111, SPIN-1999/20 | hep-th | null | First-order `Bogomol'nyi' equations are found for dilaton domain walls of
D-dimensional gravity with the general dilaton potential admitting a stable
anti-de Sitter vacuum. Implications for renormalization group flow in the
holographically dual field theory are discussed.
| [
{
"created": "Fri, 10 Sep 1999 18:21:53 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Oct 1999 21:33:03 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Skenderis",
"Kostas",
""
],
[
"Townsend",
"Paul K.",
""
]
] | First-order `Bogomol'nyi' equations are found for dilaton domain walls of D-dimensional gravity with the general dilaton potential admitting a stable anti-de Sitter vacuum. Implications for renormalization group flow in the holographically dual field theory are discussed. |
0906.2922 | Alex Buchel | Alex Buchel, Robert C. Myers | Causality of Holographic Hydrodynamics | 23 pages, 5 figures; v2: references added, JHEP version | JHEP 0908:016,2009 | 10.1088/1126-6708/2009/08/016 | UWO-TH-09/11 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study causality violation in holographic hydrodynamics in the gauge
theory/string theory correspondence, focussing on Gauss-Bonnet gravity. The
value of the Gauss-Bonnet coupling is related to the difference between the
central charges of the dual conformal gauge theory. We show that, when this
difference is sufficiently large, causality is violated both in the
second-order truncated theory of hydrodynamics, as well as in the exact theory.
We find that the latter provides more stringent constraints, which match
precisely those appearing in the CFT analysis of Hofman and Maldacena.
| [
{
"created": "Tue, 16 Jun 2009 13:06:14 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Jul 2009 14:32:55 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Aug 2009 16:10:08 GMT",
"version": "v3"
}
] | 2010-01-15 | [
[
"Buchel",
"Alex",
""
],
[
"Myers",
"Robert C.",
""
]
] | We study causality violation in holographic hydrodynamics in the gauge theory/string theory correspondence, focussing on Gauss-Bonnet gravity. The value of the Gauss-Bonnet coupling is related to the difference between the central charges of the dual conformal gauge theory. We show that, when this difference is sufficiently large, causality is violated both in the second-order truncated theory of hydrodynamics, as well as in the exact theory. We find that the latter provides more stringent constraints, which match precisely those appearing in the CFT analysis of Hofman and Maldacena. |
hep-th/9907029 | Tamiaki Yoneya | Yasuhiro Sekino and Tamiaki Yoneya | Generalized AdS-CFT Correspondence for Matrix Theory in the Large N
limit | 41 pages, no figures; minor corrections, references are added, final
version to be published in Nucl. Phys. B | Nucl.Phys. B570 (2000) 174-206 | 10.1016/S0550-3213(99)00793-2 | UT-KOMABA/99-8 | hep-th | null | Guided by the generalized conformal symmetry, we investigate the extension of
AdS-CFT correspondence to the matrix model of D-particles in the large N limit.
We perform a complete harmonic analysis of the bosonic linearized fluctuations
around a heavy D-particle background in IIA supergravity in 10 dimensions and
find that the spectrum precisely agrees with that of the physical operators of
Matrix theory. The explicit forms of two-point functions give predictions for
the large $N$ behavior of Matrix theory with some special cutoff. We discuss
the possible implications of our results for the large N dynamics of
D-particles and for the Matrix-theory conjecture. We find an anomalous scaling
behavior with respect to the large N limit associated to the infinite momentum
limit in 11 dimensions, suggesting the existence of a screening mechanism for
the transverse extension of the system.
| [
{
"created": "Tue, 6 Jul 1999 13:17:31 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jul 1999 01:02:36 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Jul 1999 03:24:41 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Dec 1999 13:47:26 GMT",
"version": "v4"
},
{
"created": "Wed, 19 Jan 2000 05:55:46 GMT",
"version": "v5"
},
{
"created": "Thu, 27 Jan 2000 06:06:30 GMT",
"version": "v6"
}
] | 2009-10-31 | [
[
"Sekino",
"Yasuhiro",
""
],
[
"Yoneya",
"Tamiaki",
""
]
] | Guided by the generalized conformal symmetry, we investigate the extension of AdS-CFT correspondence to the matrix model of D-particles in the large N limit. We perform a complete harmonic analysis of the bosonic linearized fluctuations around a heavy D-particle background in IIA supergravity in 10 dimensions and find that the spectrum precisely agrees with that of the physical operators of Matrix theory. The explicit forms of two-point functions give predictions for the large $N$ behavior of Matrix theory with some special cutoff. We discuss the possible implications of our results for the large N dynamics of D-particles and for the Matrix-theory conjecture. We find an anomalous scaling behavior with respect to the large N limit associated to the infinite momentum limit in 11 dimensions, suggesting the existence of a screening mechanism for the transverse extension of the system. |
hep-th/9503193 | Henneaux M. | S. Deser and M. Henneaux | Gauge Properties of Conserved Currents in Abelian Versus Nonabelian
Theories | latex, 9 pages | Mod.Phys.Lett.A10:991-996,1995 | 10.1142/S0217732395001095 | CERN-TH/95-60, BRX-TH-373, ULB-TH-95/04 | hep-th | null | We clarify the physical origin of the difference between gauge properties of
conserved currents in abelian and nonabelian theories. In the latter, but not
in the former, such currents can always be written on shell as gauge invariants
modulo identically conserved, superpotential, terms. For the ``isotopic" vector
and the stress tensor currents of spins 1 and 2 respectively, we explain this
difference by the fact that the non-abelian theories are just the self-coupled
versions of the abelian ones using these currents as sources. More precisely,
we indicate how the self-coupling turns the non-invariantizable abelian
conserved currents into (on-shell) superpotentials. The fate of other conserved
currents is also discussed.
| [
{
"created": "Tue, 28 Mar 1995 08:32:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Deser",
"S.",
""
],
[
"Henneaux",
"M.",
""
]
] | We clarify the physical origin of the difference between gauge properties of conserved currents in abelian and nonabelian theories. In the latter, but not in the former, such currents can always be written on shell as gauge invariants modulo identically conserved, superpotential, terms. For the ``isotopic" vector and the stress tensor currents of spins 1 and 2 respectively, we explain this difference by the fact that the non-abelian theories are just the self-coupled versions of the abelian ones using these currents as sources. More precisely, we indicate how the self-coupling turns the non-invariantizable abelian conserved currents into (on-shell) superpotentials. The fate of other conserved currents is also discussed. |
hep-th/0612271 | Elena Melkumova | E.Yu. Melkumova, D.V. Gal'tsov and K. Salehi | Dilaton and axion bremsstrahlung from collisions of cosmic
(super)strings | 7 pages, to appear in Proceedings of the 2nd International conference
On quantum theories and renormalization group in gravity and cosmology (IRGAC
2006), 11-15 Jul 2006, Barcelona, Spain | J.Phys.A40:6979-6984,2007 | 10.1088/1751-8113/40/25/S49 | null | hep-th | null | We calculate dilaton and axion radiation generated in the collision of two
straight initially unexcited strings and give a rough cosmological estimate of
dilaton and axion densities produced via this mechanism in the early universe.
| [
{
"created": "Tue, 26 Dec 2006 20:08:23 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Melkumova",
"E. Yu.",
""
],
[
"Gal'tsov",
"D. V.",
""
],
[
"Salehi",
"K.",
""
]
] | We calculate dilaton and axion radiation generated in the collision of two straight initially unexcited strings and give a rough cosmological estimate of dilaton and axion densities produced via this mechanism in the early universe. |
1509.03657 | Leihua Liu | Leihua Liu, Jiansen Zheng | Emergent observable deSitter space from an Equation of Motion | Since our director required me withdraw this paper | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We propose that de-Sitter space-time originates from Gaussian distribution in
a quantum harmonic oscillator system. This equation associates with a massless
Klein-Gordon equation. We discover that every excited states of quantum
oscillator also contributes for the de-Sitter space-time. The observable part
of metric is related to energy scale and excited quantum number $n$. As for
off-diagonal elements, it comes from the superposition of quantum mechanics.
These elements can cause in-homogeneous at the very beginning of universe.
| [
{
"created": "Wed, 19 Aug 2015 16:33:04 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2015 19:55:52 GMT",
"version": "v2"
}
] | 2015-10-01 | [
[
"Liu",
"Leihua",
""
],
[
"Zheng",
"Jiansen",
""
]
] | We propose that de-Sitter space-time originates from Gaussian distribution in a quantum harmonic oscillator system. This equation associates with a massless Klein-Gordon equation. We discover that every excited states of quantum oscillator also contributes for the de-Sitter space-time. The observable part of metric is related to energy scale and excited quantum number $n$. As for off-diagonal elements, it comes from the superposition of quantum mechanics. These elements can cause in-homogeneous at the very beginning of universe. |
1708.06761 | Philipp Henkenjohann | Arthur Hebecker, Philipp Henkenjohann, Lukas T. Witkowski | Flat Monodromies and a Moduli Space Size Conjecture | 35 pages, 10 figures; v3: references added, new section added | null | 10.1007/JHEP12(2017)033 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate how super-Planckian axions can arise when type IIB 3-form flux
is used to restrict a two-axion field space to a one-dimensional winding
trajectory. If one does not attempt to address notoriously complicated issues
like Kahler moduli stabilization, SUSY-breaking and inflation, this can be done
very explicitly. We show that the presence of flux generates flat monodromies
in the moduli space which we therefore call 'Monodromic Moduli Space'. While we
do indeed find long axionic trajectories, these are non-geodesic. Moreover, the
length of geodesics remains highly constrained, in spite of the (finite)
monodromy group introduced by the flux. We attempt to formulate this in terms
of a 'Moduli Space Size Conjecture'. Interesting mathematical structures arise
in that the relevant spaces turn out to be fundamental domains of congruence
subgroups of the modular group. In addition, new perspectives on inflation in
string theory emerge.
| [
{
"created": "Tue, 22 Aug 2017 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Aug 2017 15:28:53 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Feb 2018 16:22:24 GMT",
"version": "v3"
}
] | 2018-03-01 | [
[
"Hebecker",
"Arthur",
""
],
[
"Henkenjohann",
"Philipp",
""
],
[
"Witkowski",
"Lukas T.",
""
]
] | We investigate how super-Planckian axions can arise when type IIB 3-form flux is used to restrict a two-axion field space to a one-dimensional winding trajectory. If one does not attempt to address notoriously complicated issues like Kahler moduli stabilization, SUSY-breaking and inflation, this can be done very explicitly. We show that the presence of flux generates flat monodromies in the moduli space which we therefore call 'Monodromic Moduli Space'. While we do indeed find long axionic trajectories, these are non-geodesic. Moreover, the length of geodesics remains highly constrained, in spite of the (finite) monodromy group introduced by the flux. We attempt to formulate this in terms of a 'Moduli Space Size Conjecture'. Interesting mathematical structures arise in that the relevant spaces turn out to be fundamental domains of congruence subgroups of the modular group. In addition, new perspectives on inflation in string theory emerge. |
2203.12539 | Kristina Rannu | Irina Ya. Aref'eva, Alexey Ermakov, Kristina Rannu, Pavel Slepov | Holographic model for light quarks in anisotropic hot dense QGP with
external magnetic field | 31 pages, 13 figures | Eur.Phys.J.C 83 (2023) 1, 79 | 10.1140/epjc/s10052-022-11166-3 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We present a five-dimensional twice anisotropic holographic model supported
by Einstein-dilaton-three-Maxwell action describing light quarks. The first of
the Maxwell fields provides finite chemical potential. The second Maxwell field
serves for anisotropy, characterizing spatial anisotropy of the QGP produced in
heavy-ion collisions (HIC). The third Maxwell field is related to a magnetic
field that appears in HIC. The dependence of the 5-dim black hole solution and
confinement/deconfinement phase diagram on this magnetic field is considered.
The effect of the inverse magnetic catalyses for light quarks phase diagram is
obtained. Positions of critical end points are found. We also study the
behavior of the conductivity for light quarks in both isotropic and anisotropic
cases and show that behaviour of the conductivity near critical points
essentially depend on quark masses, meanwhile at high temperature they are
similar.
| [
{
"created": "Wed, 23 Mar 2022 16:59:29 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2022 17:59:48 GMT",
"version": "v2"
}
] | 2023-02-07 | [
[
"Aref'eva",
"Irina Ya.",
""
],
[
"Ermakov",
"Alexey",
""
],
[
"Rannu",
"Kristina",
""
],
[
"Slepov",
"Pavel",
""
]
] | We present a five-dimensional twice anisotropic holographic model supported by Einstein-dilaton-three-Maxwell action describing light quarks. The first of the Maxwell fields provides finite chemical potential. The second Maxwell field serves for anisotropy, characterizing spatial anisotropy of the QGP produced in heavy-ion collisions (HIC). The third Maxwell field is related to a magnetic field that appears in HIC. The dependence of the 5-dim black hole solution and confinement/deconfinement phase diagram on this magnetic field is considered. The effect of the inverse magnetic catalyses for light quarks phase diagram is obtained. Positions of critical end points are found. We also study the behavior of the conductivity for light quarks in both isotropic and anisotropic cases and show that behaviour of the conductivity near critical points essentially depend on quark masses, meanwhile at high temperature they are similar. |
2202.03471 | Diego Rodriguez-Gomez | Diego Rodriguez-Gomez | A Scaling Limit for Line and Surface Defects | 18 pages+appendices; 7 figures. Comments added | null | 10.1007/JHEP06(2022)071 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study symmetry-breaking line defects in the Wilson-Fisher theory with
$O(2N+1)$ global symmetry near four dimensions and symmetry-preserving surface
defects in a cubic model with $O(2N)$ global symmetry near six dimensions. We
introduce a scaling limit inspired by the large charge expansion in Conformal
Field Theory. Using this, we compute the beta function for the defect coupling
which allows to identify the corresponding Defect Conformal Field Theories. We
also compute the correlation function of two parallel defects as well as
correlation functions of certain defect operators with large charge under the
surviving symmetry.
| [
{
"created": "Mon, 7 Feb 2022 19:20:32 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2022 09:02:27 GMT",
"version": "v2"
},
{
"created": "Fri, 27 May 2022 09:34:03 GMT",
"version": "v3"
}
] | 2022-06-29 | [
[
"Rodriguez-Gomez",
"Diego",
""
]
] | We study symmetry-breaking line defects in the Wilson-Fisher theory with $O(2N+1)$ global symmetry near four dimensions and symmetry-preserving surface defects in a cubic model with $O(2N)$ global symmetry near six dimensions. We introduce a scaling limit inspired by the large charge expansion in Conformal Field Theory. Using this, we compute the beta function for the defect coupling which allows to identify the corresponding Defect Conformal Field Theories. We also compute the correlation function of two parallel defects as well as correlation functions of certain defect operators with large charge under the surviving symmetry. |
hep-th/9503010 | Juergen Burzlaff | K. Arthur and J. Burzlaff | Existence Theorems for $\frac{\pi}{n}$ Vortex Scattering | 8 pages. latex | Lett. Math. Phys. 36 (1996) 311 | 10.1007/BF00943283 | KL-TH-95/7 | hep-th | null | The analysis of $90^{\circ}$ vortex-vortex scattering is extended to
$\frac{\pi}{n}$ scattering in all head-on collisions of $n$ vortices in the
Abelian Higgs model. A Cauchy problem with initial data that describe the
scattering of $n$ vortices is formulated. It is shown that this Cauchy problem
has a unique global finite-energy solution. The symmetry of the solution and
the form of the local analytic solution then show that $\frac{\pi}{n}$
scattering is realised.
| [
{
"created": "Thu, 2 Mar 1995 10:40:38 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Arthur",
"K.",
""
],
[
"Burzlaff",
"J.",
""
]
] | The analysis of $90^{\circ}$ vortex-vortex scattering is extended to $\frac{\pi}{n}$ scattering in all head-on collisions of $n$ vortices in the Abelian Higgs model. A Cauchy problem with initial data that describe the scattering of $n$ vortices is formulated. It is shown that this Cauchy problem has a unique global finite-energy solution. The symmetry of the solution and the form of the local analytic solution then show that $\frac{\pi}{n}$ scattering is realised. |
2001.05928 | Lionel J. Mason | Giulia Albonico, Yvonne Geyer and Lionel Mason | Recursion and worldsheet formulae for 6d superamplitudes | 82 pages, 69 pages of article + appendices & refs. Final version for
publication | null | 10.1007/JHEP08(2020)066 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently two of the authors presented a spinorial extension of the scattering
equations, the `polarized scattering equations' that incorporates spinor
polarization data. These led to new worldsheet amplitude formulae for a variety
of gauge, gravity and brane theories in six dimensions that naturally
incorporate fermions and directly extend to maximal supersymmetry. This paper
provides a number of improvements to the original formulae, together with
extended details of the construction, examples and full proofs of some of the
formulae by BCFW recursion and factorization. We show how our formulae reduce
to corresponding formulae for maximally supersymmetric gauge, gravity and brane
theories in five and four dimensions. In four dimensions our framework
naturally gives the twistorial version of the 4d ambitwistor string, giving new
insights into the nature of the refined and polarized scattering equations they
give rise to, and on the relations between its measure and the CHY measure. Our
formulae exhibit a natural double-copy structure being built from
`half-integrands'. We give further discussion of the matrix of theories and
formulae to which our half-integrands give rise, including controversial
formulae for amplitudes involving Gerbes.
| [
{
"created": "Thu, 16 Jan 2020 16:39:51 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Jul 2020 10:27:52 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Albonico",
"Giulia",
""
],
[
"Geyer",
"Yvonne",
""
],
[
"Mason",
"Lionel",
""
]
] | Recently two of the authors presented a spinorial extension of the scattering equations, the `polarized scattering equations' that incorporates spinor polarization data. These led to new worldsheet amplitude formulae for a variety of gauge, gravity and brane theories in six dimensions that naturally incorporate fermions and directly extend to maximal supersymmetry. This paper provides a number of improvements to the original formulae, together with extended details of the construction, examples and full proofs of some of the formulae by BCFW recursion and factorization. We show how our formulae reduce to corresponding formulae for maximally supersymmetric gauge, gravity and brane theories in five and four dimensions. In four dimensions our framework naturally gives the twistorial version of the 4d ambitwistor string, giving new insights into the nature of the refined and polarized scattering equations they give rise to, and on the relations between its measure and the CHY measure. Our formulae exhibit a natural double-copy structure being built from `half-integrands'. We give further discussion of the matrix of theories and formulae to which our half-integrands give rise, including controversial formulae for amplitudes involving Gerbes. |
2403.04831 | Ruben Kuespert | Suk\c{r}ti Bansal, Luca Brunelli, Michele Cicoli, Arthur Hebecker,
Ruben Kuespert | Loop Blow-up Inflation | 41 pages, 2 figures, 1 appendix; v2: further discussion and
references added, minor mistakes corrected | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new model of string inflation driven by a blow-up K\"ahler
modulus of type IIb compactifications with a potential generated by string
loops. Slow-roll is naturally realized thanks to the fact that the blow-up mode
is a leading-order flat direction lifted by string loops which are unavoidable
and generate a plateau at large field values. We check that throughout the
whole inflationary dynamics the effective field theory is under control. We
perform a phenomenological analysis determining the exact number of efoldings
by studying the post-inflationary evolution. We determine the values of the
microscopic parameters which lead to agreement with CMB data, together with the
prediction of a tensor-to-scalar ratio of order $r\sim 10^{-5}$.
| [
{
"created": "Thu, 7 Mar 2024 19:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 2024 15:15:00 GMT",
"version": "v2"
}
] | 2024-07-04 | [
[
"Bansal",
"Sukŗti",
""
],
[
"Brunelli",
"Luca",
""
],
[
"Cicoli",
"Michele",
""
],
[
"Hebecker",
"Arthur",
""
],
[
"Kuespert",
"Ruben",
""
]
] | We present a new model of string inflation driven by a blow-up K\"ahler modulus of type IIb compactifications with a potential generated by string loops. Slow-roll is naturally realized thanks to the fact that the blow-up mode is a leading-order flat direction lifted by string loops which are unavoidable and generate a plateau at large field values. We check that throughout the whole inflationary dynamics the effective field theory is under control. We perform a phenomenological analysis determining the exact number of efoldings by studying the post-inflationary evolution. We determine the values of the microscopic parameters which lead to agreement with CMB data, together with the prediction of a tensor-to-scalar ratio of order $r\sim 10^{-5}$. |
hep-th/9510178 | Harald Dorn | K. Behrndt, H. Dorn (Humboldt Univ. Berlin) | String-string duality for some black hole type solutions | 8 pages, Latex, final version to appear in PLB (2 references added) | Phys.Lett. B370 (1996) 45-48 | 10.1016/0370-2693(95)01572-8 | HUB-EP-95/25 | hep-th | null | We apply the duality transformation relating the heterotic to the IIA string
in 6D to the class of exact string solutions described by the chiral null model
and derive explicit formulas for all fields after reduction to 4D. If the model
is restricted to asymptotically flat black hole type solutions with well
defined mass and charges the purely electric solutions on the heterotic side
are mapped to dyonic ones on the IIA side. The mass remains invariant. Before
and after the duality transformation the solutions belong to short $N=4$ SUSY
multiplets and saturate the corresponding Bogomol'nyi bounds.
| [
{
"created": "Tue, 24 Oct 1995 15:48:05 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Nov 1995 09:07:18 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Behrndt",
"K.",
"",
"Humboldt Univ. Berlin"
],
[
"Dorn",
"H.",
"",
"Humboldt Univ. Berlin"
]
] | We apply the duality transformation relating the heterotic to the IIA string in 6D to the class of exact string solutions described by the chiral null model and derive explicit formulas for all fields after reduction to 4D. If the model is restricted to asymptotically flat black hole type solutions with well defined mass and charges the purely electric solutions on the heterotic side are mapped to dyonic ones on the IIA side. The mass remains invariant. Before and after the duality transformation the solutions belong to short $N=4$ SUSY multiplets and saturate the corresponding Bogomol'nyi bounds. |
2311.17692 | Marco Bill\'o | M. Billo', L. Griguolo and A. Testa | Remarks on BPS Wilson loops in non-conformal N=2 gauge theories and
localization | 46 pages, sevral figures in tikz. V2: a few references added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional
N=2 SU(N) SYM theories with massless matter content and non-vanishing
beta-function. Following Pestun's approach, we can use supersymmetric
localization on the sphere S4 to map these observables into a matrix model,
provided that the one-loop determinants are consistently regularized. Employing
a suitable procedure, we construct the regularized matrix model for these
theories and show that, at order g^4, the predictions for the 1/2 BPS Wilson
loop match standard perturbative renormalization based on the direct evaluation
of Feynman diagrams on S4. Despite conformal symmetry begin broken at the
quantum level, we also demonstrate that the matrix model approaches perfectly
captures the expression of the renormalized observable in flat space at this
perturbative order. Moreover, we revisit in detail the difference theory
approach, showing that when the beta-function is non-vanishing, this method
does not account for evanescent terms which are made finite by the
renormalization procedure and participate to the corrections at order g^6.
| [
{
"created": "Wed, 29 Nov 2023 14:57:40 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 2023 16:52:43 GMT",
"version": "v2"
}
] | 2023-12-20 | [
[
"Billo'",
"M.",
""
],
[
"Griguolo",
"L.",
""
],
[
"Testa",
"A.",
""
]
] | We consider 1/2 BPS supersymmetric circular Wilson loops in four-dimensional N=2 SU(N) SYM theories with massless matter content and non-vanishing beta-function. Following Pestun's approach, we can use supersymmetric localization on the sphere S4 to map these observables into a matrix model, provided that the one-loop determinants are consistently regularized. Employing a suitable procedure, we construct the regularized matrix model for these theories and show that, at order g^4, the predictions for the 1/2 BPS Wilson loop match standard perturbative renormalization based on the direct evaluation of Feynman diagrams on S4. Despite conformal symmetry begin broken at the quantum level, we also demonstrate that the matrix model approaches perfectly captures the expression of the renormalized observable in flat space at this perturbative order. Moreover, we revisit in detail the difference theory approach, showing that when the beta-function is non-vanishing, this method does not account for evanescent terms which are made finite by the renormalization procedure and participate to the corrections at order g^6. |
2012.02389 | Pietro Dall'Olio | Pietro Dall'Olio, Axel Weber | Exploiting the scheme dependence of the renormalization group
improvement in infrared Yang-Mills theory | 81 pages, 30 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the refined Gribov-Zwanziger scenario for four-dimensional Yang-Mills
theory in the Landau gauge, a gluon mass term is generated from the restriction
of the gauge field configurations to the first Gribov region. Tissier and
Wschebor have pointed out that simply adding a gluon mass term to the usual
Faddeev-Popov action yields one-loop renormalization group improved gluon and
ghost propagators which are in good agreement with the lattice data even in the
infrared regime. In this work, we extend their analysis to several alternative
renormalization schemes and show how the renormalization scheme dependence can
be used to achieve an almost perfect matching to the lattice data for the gluon
and ghost propagators.
| [
{
"created": "Fri, 4 Dec 2020 04:03:09 GMT",
"version": "v1"
}
] | 2020-12-07 | [
[
"Dall'Olio",
"Pietro",
""
],
[
"Weber",
"Axel",
""
]
] | Within the refined Gribov-Zwanziger scenario for four-dimensional Yang-Mills theory in the Landau gauge, a gluon mass term is generated from the restriction of the gauge field configurations to the first Gribov region. Tissier and Wschebor have pointed out that simply adding a gluon mass term to the usual Faddeev-Popov action yields one-loop renormalization group improved gluon and ghost propagators which are in good agreement with the lattice data even in the infrared regime. In this work, we extend their analysis to several alternative renormalization schemes and show how the renormalization scheme dependence can be used to achieve an almost perfect matching to the lattice data for the gluon and ghost propagators. |
hep-th/0109196 | Juan L. Manes | Juan L. Manes (U. of the Basque Country, Bilbao, Spain) | Emission Spectrum of Fundamental Strings: An Algebraic Approach | 35 pages, 3 figures | Nucl.Phys. B621 (2002) 37-61 | 10.1016/S0550-3213(01)00578-8 | EHU-FT/0105 | hep-th | null | We formulate a linear difference equation which yields averaged
semi-inclusive decay rates for arbitrary, not necessarily large, values of the
masses. We show that the rates for decays $M \to m+\M'$ of typical heavy open
strings are independent of the masses $M$ and $m$, and compute the ``mass
deffect''$M-m-M'$. For closed strings we find decay rates proportional to $M
m_{R}^{(1-D)/2}$, where $m_{R}$ is the reduced mass of the decy products. Our
method yields exact interaction rates valid for all mass ranges and may provide
a fully microscopic basis, not limited to the long string approximation, for
the interactions in the Boltzmann equation approach to hot string gases.
| [
{
"created": "Tue, 25 Sep 2001 15:22:55 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Manes",
"Juan L.",
"",
"U. of the Basque Country, Bilbao, Spain"
]
] | We formulate a linear difference equation which yields averaged semi-inclusive decay rates for arbitrary, not necessarily large, values of the masses. We show that the rates for decays $M \to m+\M'$ of typical heavy open strings are independent of the masses $M$ and $m$, and compute the ``mass deffect''$M-m-M'$. For closed strings we find decay rates proportional to $M m_{R}^{(1-D)/2}$, where $m_{R}$ is the reduced mass of the decy products. Our method yields exact interaction rates valid for all mass ranges and may provide a fully microscopic basis, not limited to the long string approximation, for the interactions in the Boltzmann equation approach to hot string gases. |
1811.03594 | Alexander Yosifov | Alexander Y. Yosifov and Lachezar G. Filipov | Nonlocal black hole evaporation and quantum metric fluctuations via
inhomogeneous vacuum density | 10 pages, REVTeX 4.1, 2 figures. Published in the Special Issue
"Classical and Quantum Approaches to Black Holes" of Advances in High Energy
Physics | Advances in High Energy Physics, Volume 2018, Article ID 3131728,
9 pages | 10.1155/2018/3131728 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inhomogeneity of the actual value of the vacuum energy density is considered
in a black hole background. We examine the back-reaction of a Schwarzschild
black hole to the highly inhomogeneous vacuum density, and argue the
fluctuations lead to deviations from general relativity in the near-horizon
region. In particular, we found that vacuum fluctuations onto the horizon
trigger adiabatic release of quantum information, while vacuum fluctuations in
the vicinity of the horizon produce potentially observable metric fluctuations
of order the Schwarzschild radius. Consequently, we propose a form of strong
nonviolent nonlocality in which we simultaneously get nonlocal release of
quantum information, and observable metric fluctuations.
| [
{
"created": "Thu, 8 Nov 2018 18:27:38 GMT",
"version": "v1"
}
] | 2018-11-09 | [
[
"Yosifov",
"Alexander Y.",
""
],
[
"Filipov",
"Lachezar G.",
""
]
] | Inhomogeneity of the actual value of the vacuum energy density is considered in a black hole background. We examine the back-reaction of a Schwarzschild black hole to the highly inhomogeneous vacuum density, and argue the fluctuations lead to deviations from general relativity in the near-horizon region. In particular, we found that vacuum fluctuations onto the horizon trigger adiabatic release of quantum information, while vacuum fluctuations in the vicinity of the horizon produce potentially observable metric fluctuations of order the Schwarzschild radius. Consequently, we propose a form of strong nonviolent nonlocality in which we simultaneously get nonlocal release of quantum information, and observable metric fluctuations. |
0902.4724 | Sergey Cherkis | Sergey A. Cherkis | Instantons on the Taub-NUT Space | 32 pages, 4 figures, Eqs.(84,91,98,99) corrected, added
acknowledgment | Adv.Theor.Math.Phys. 14:609-642,2010 | null | TCDMATH 09-08, HMI 09-04 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a construction of self-dual Yang-Mills connections on the Taub-NUT
space. We illustrate it by finding explicit expressions for all SU(2)
instantons of instanton number one and generic monodromy at infinity.
| [
{
"created": "Fri, 27 Feb 2009 16:27:33 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Aug 2010 19:47:43 GMT",
"version": "v2"
}
] | 2011-01-03 | [
[
"Cherkis",
"Sergey A.",
""
]
] | We present a construction of self-dual Yang-Mills connections on the Taub-NUT space. We illustrate it by finding explicit expressions for all SU(2) instantons of instanton number one and generic monodromy at infinity. |
1011.4521 | Xi Dong | Xi Dong, Bart Horn, Eva Silverstein, Alexander Westphal | Simple exercises to flatten your potential | 20 pages, 2 figures. v2: new references added | Phys.Rev.D84:026011,2011 | 10.1103/PhysRevD.84.026011 | SU-ITP-10/33, SLAC-PUB-14305, NSF-KITP-10-141, DESY 10-201 | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how backreaction of the inflaton potential energy on heavy scalar
fields can flatten the inflationary potential, as the heavy fields adjust to
their most energetically favorable configuration. This mechanism operates in
previous UV-complete examples of axion monodromy inflation - flattening a
would-be quadratic potential to one linear in the inflaton field - but occurs
more generally, and we illustrate the effect with several examples. Special
choices of compactification minimizing backreaction may realize chaotic
inflation with a quadratic potential, but we argue that a flatter potential
such as power-law inflation $V(\phi) \propto \phi^p$ with $p<2$ is a more
generic option at sufficiently large values of $\phi$.
| [
{
"created": "Fri, 19 Nov 2010 21:02:32 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 2011 21:41:26 GMT",
"version": "v2"
}
] | 2015-03-17 | [
[
"Dong",
"Xi",
""
],
[
"Horn",
"Bart",
""
],
[
"Silverstein",
"Eva",
""
],
[
"Westphal",
"Alexander",
""
]
] | We show how backreaction of the inflaton potential energy on heavy scalar fields can flatten the inflationary potential, as the heavy fields adjust to their most energetically favorable configuration. This mechanism operates in previous UV-complete examples of axion monodromy inflation - flattening a would-be quadratic potential to one linear in the inflaton field - but occurs more generally, and we illustrate the effect with several examples. Special choices of compactification minimizing backreaction may realize chaotic inflation with a quadratic potential, but we argue that a flatter potential such as power-law inflation $V(\phi) \propto \phi^p$ with $p<2$ is a more generic option at sufficiently large values of $\phi$. |
2403.19229 | Pabitra Tripathy | Pabitra Tripathy | Exploring critical behavior of thermodynamic variables of the
Kerr-Newman-AdS black hole in the restricted phase space | null | Phys. Rev. D 110, 044027 (2024) | 10.1103/PhysRevD.110.044027 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The present work delves into examining the thermodynamic properties of the
four-dimensional Kerr-Newmann-AdS black hole, employing the recently proposed
framework of restricted phase space thermodynamics (RPST). This approach
introduces a novel set of paired thermodynamic variables: the central charge
$C$ of the corresponding dual conformal field theory (CFT) and the chemical
potential $\mu$. Through simple analysis, we establish fundamental
relationships such as the Euler relation, Gibbs-Duhem relation, and the zeroth
order homogeneity of intensive variables. Employing numerical techniques, we
explore the thermodynamic processes between these conjugate variables. Our
investigation reveals the first-order and second-order phase transitions across
various macroscopic processes. Despite the absence of complete analytical
expressions, our findings unveil striking similarities in behavior between
RN-AdS and Kerr-AdS, underscoring the presence of underlying universality
within the RPST formalism.
| [
{
"created": "Thu, 28 Mar 2024 08:43:20 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Aug 2024 04:52:21 GMT",
"version": "v2"
}
] | 2024-08-13 | [
[
"Tripathy",
"Pabitra",
""
]
] | The present work delves into examining the thermodynamic properties of the four-dimensional Kerr-Newmann-AdS black hole, employing the recently proposed framework of restricted phase space thermodynamics (RPST). This approach introduces a novel set of paired thermodynamic variables: the central charge $C$ of the corresponding dual conformal field theory (CFT) and the chemical potential $\mu$. Through simple analysis, we establish fundamental relationships such as the Euler relation, Gibbs-Duhem relation, and the zeroth order homogeneity of intensive variables. Employing numerical techniques, we explore the thermodynamic processes between these conjugate variables. Our investigation reveals the first-order and second-order phase transitions across various macroscopic processes. Despite the absence of complete analytical expressions, our findings unveil striking similarities in behavior between RN-AdS and Kerr-AdS, underscoring the presence of underlying universality within the RPST formalism. |
hep-th/9710107 | Oleg Andreev | Oleg Andreev (USC) | On touching random surfaces, two-dimensional quantum gravity and
non-critical string theory | 22 pages, Latex2e, 3 figures | Phys. Rev. D 57, 3725 (1998) | 10.1103/PhysRevD.57.3725 | USC-97/HEP-A1 | hep-th | null | A set of physical operators which are responsible for touching interactions
in the framework of c<1 unitary conformal matter coupled to 2D quantum gravity
is found. As a special case the non-critical bosonic strings are considered.
Some analogies with four dimensional quantum gravity are also discussed, e.g.
creation-annihilation operators for baby universes, Coleman mechanism for the
cosmological constant.
| [
{
"created": "Tue, 14 Oct 1997 04:36:19 GMT",
"version": "v1"
}
] | 2016-08-25 | [
[
"Andreev",
"Oleg",
"",
"USC"
]
] | A set of physical operators which are responsible for touching interactions in the framework of c<1 unitary conformal matter coupled to 2D quantum gravity is found. As a special case the non-critical bosonic strings are considered. Some analogies with four dimensional quantum gravity are also discussed, e.g. creation-annihilation operators for baby universes, Coleman mechanism for the cosmological constant. |
2208.07409 | Marcel Hughes | Bin Guo, Marcel R. R. Hughes, Samir D. Mathur and Madhur Mehta | Universal lifting in the D1-D5 CFT | 36 pages, 1 figure | null | 10.1007/JHEP10(2022)148 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT
where one copy of the seed CFT has been excited with a left-moving
superconformal primary. Despite being BPS at the orbifold point, such states
can `lift' as the theory is deformed away from this point in moduli space. We
compute this lifting at second order in the deformation parameter for arbitrary
left-moving dimension $h$ of this class of states. This result displays an
interesting universality since the lifting does not depend on the details of
the superconformal primary; it depends only on the dimension. In the
large-dimension limit the lift scales as $\sqrt{h}\,$; it is observed that such
scaling appears to be a universal property of the lift of D1-D5-P states.
| [
{
"created": "Mon, 15 Aug 2022 19:18:37 GMT",
"version": "v1"
}
] | 2022-11-09 | [
[
"Guo",
"Bin",
""
],
[
"Hughes",
"Marcel R. R.",
""
],
[
"Mathur",
"Samir D.",
""
],
[
"Mehta",
"Madhur",
""
]
] | We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where one copy of the seed CFT has been excited with a left-moving superconformal primary. Despite being BPS at the orbifold point, such states can `lift' as the theory is deformed away from this point in moduli space. We compute this lifting at second order in the deformation parameter for arbitrary left-moving dimension $h$ of this class of states. This result displays an interesting universality since the lifting does not depend on the details of the superconformal primary; it depends only on the dimension. In the large-dimension limit the lift scales as $\sqrt{h}\,$; it is observed that such scaling appears to be a universal property of the lift of D1-D5-P states. |
1705.00638 | Leonardo Castellani | Leonardo Castellani | A locally supersymmetric $SO(10,2)$ invariant action for $D=12$
supergravity | LaTeX, 13 pages. Added a reference, a Table in Appendix A for the
gamma commutations in d=12, and corrected eq. (4.14) for the Einstein-Hilbert
term; v4: corrected formulas (A.3), (A.4) and (A.10), modified last paragraph
of Section 5, added acknowledgements | null | 10.1007/JHEP06(2017)061 | ARC-17-02 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an action for $N=1$ supergravity in $10+2$ dimensions, containing
the gauge fields of the $OSp(1|64)$ superalgebra, i.e. one-forms $B^{(n)}$ with
$n$=1,2,5,6,9,10 antisymmetric D=12 Lorentz indices and a Majorana gravitino
$\psi$. The vielbein and spin connection correspond to $B^{(1)}$ and $B^{(2)}$
respectively. The action is not gauge invariant under the full $OSp(1|64)$
superalgebra, but only under a subalgebra ${\tilde F}$ (containing the $F$
algebra $OSp(1|32)$), whose gauge fields are $B^{(2)}$, $B^{(6)}$, $B^{(10)}$
and the Weyl projected Majorana gravitino ${1 \over 2} (1+\Gamma_{13}) \psi$.
Supersymmetry transformations are therefore generated by a Majorana-Weyl
supercharge and, being part of a gauge superalgebra, close off-shell. The
action is simply $\int STr ({\bf R}^6 {\bf \Gamma})$ where ${\bf R}$ is the
$OSp(1|64)$ curvature supermatrix two-form, and ${\bf \Gamma}$ is a constant
supermatrix involving $\Gamma_{13}$ and breaking $OSp(1|64)$ to its ${\tilde
F}$ subalgebra. The action includes the usual Einstein-Hilbert term.
| [
{
"created": "Mon, 1 May 2017 18:05:45 GMT",
"version": "v1"
},
{
"created": "Wed, 3 May 2017 14:33:03 GMT",
"version": "v2"
},
{
"created": "Sun, 14 May 2017 12:02:23 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Mar 2018 16:47:45 GMT",
"version": "v4"
}
] | 2018-03-28 | [
[
"Castellani",
"Leonardo",
""
]
] | We present an action for $N=1$ supergravity in $10+2$ dimensions, containing the gauge fields of the $OSp(1|64)$ superalgebra, i.e. one-forms $B^{(n)}$ with $n$=1,2,5,6,9,10 antisymmetric D=12 Lorentz indices and a Majorana gravitino $\psi$. The vielbein and spin connection correspond to $B^{(1)}$ and $B^{(2)}$ respectively. The action is not gauge invariant under the full $OSp(1|64)$ superalgebra, but only under a subalgebra ${\tilde F}$ (containing the $F$ algebra $OSp(1|32)$), whose gauge fields are $B^{(2)}$, $B^{(6)}$, $B^{(10)}$ and the Weyl projected Majorana gravitino ${1 \over 2} (1+\Gamma_{13}) \psi$. Supersymmetry transformations are therefore generated by a Majorana-Weyl supercharge and, being part of a gauge superalgebra, close off-shell. The action is simply $\int STr ({\bf R}^6 {\bf \Gamma})$ where ${\bf R}$ is the $OSp(1|64)$ curvature supermatrix two-form, and ${\bf \Gamma}$ is a constant supermatrix involving $\Gamma_{13}$ and breaking $OSp(1|64)$ to its ${\tilde F}$ subalgebra. The action includes the usual Einstein-Hilbert term. |
2009.12010 | Ermal Rrapaj | Joseph I. Kapusta, Ermal Rrapaj, and Serge Rudaz | Spin-Vorticity Coupling for Massive Vector Mesons | null | Phys. Rev. D 102, 125028 (2020) | 10.1103/PhysRevD.102.125028 | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron
Collider (LHC) have indicated that hadrons containing strange quarks produced
in non-central heavy ion collisions can be polarized. We investigate in detail
the coupling of spin and vorticity for electrically neutral, massive vector
bosons using the Proca equation, and provide the nonrelativistic reduction of
the field equations via a single Foldy--Wouthuysen transformation. We find that
the resulting Hamiltonian is not-Hermitian, but ${\cal PT}$ invariant, and
involves a spin dependent term $\textstyle{\frac{1}{2}} s_z \hbar \omega$ to
leading order in vorticity. We also calculate further relativistic and quantum
corrections to the Hamiltonian.
| [
{
"created": "Fri, 25 Sep 2020 03:03:33 GMT",
"version": "v1"
}
] | 2021-01-04 | [
[
"Kapusta",
"Joseph I.",
""
],
[
"Rrapaj",
"Ermal",
""
],
[
"Rudaz",
"Serge",
""
]
] | Recent experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) have indicated that hadrons containing strange quarks produced in non-central heavy ion collisions can be polarized. We investigate in detail the coupling of spin and vorticity for electrically neutral, massive vector bosons using the Proca equation, and provide the nonrelativistic reduction of the field equations via a single Foldy--Wouthuysen transformation. We find that the resulting Hamiltonian is not-Hermitian, but ${\cal PT}$ invariant, and involves a spin dependent term $\textstyle{\frac{1}{2}} s_z \hbar \omega$ to leading order in vorticity. We also calculate further relativistic and quantum corrections to the Hamiltonian. |
1611.08517 | H. Casini | Raul Arias, David Blanco, Horacio Casini, Marina Huerta | Local temperatures and local terms in modular Hamiltonians | 35 pages, 12 figures | Phys. Rev. D 95, 065005 (2017) | 10.1103/PhysRevD.95.065005 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show there are analogues to the Unruh temperature that can be defined for
any quantum field theory and region of the space. These local temperatures are
defined using relative entropy with localized excitations. We show important
restrictions arise from relative entropy inequalities and causal propagation
between Cauchy surfaces. These suggest a large amount of universality for local
temperatures, specially the ones affecting null directions. For regions with
any number of intervals in two space-time dimensions the local temperatures
might arise from a term in the modular Hamiltonian proportional to the stress
tensor. We argue this term might be universal, with a coefficient that is the
same for any theory, and check analytically and numerically this is the case
for free massive scalar and Dirac fields. In dimensions $d\ge 3$ the local
terms in the modular Hamiltonian producing these local temperatures cannot be
formed exclusively from the stress tensor. For a free scalar field we classify
the structure of the local terms.
| [
{
"created": "Fri, 25 Nov 2016 17:00:35 GMT",
"version": "v1"
}
] | 2017-03-14 | [
[
"Arias",
"Raul",
""
],
[
"Blanco",
"David",
""
],
[
"Casini",
"Horacio",
""
],
[
"Huerta",
"Marina",
""
]
] | We show there are analogues to the Unruh temperature that can be defined for any quantum field theory and region of the space. These local temperatures are defined using relative entropy with localized excitations. We show important restrictions arise from relative entropy inequalities and causal propagation between Cauchy surfaces. These suggest a large amount of universality for local temperatures, specially the ones affecting null directions. For regions with any number of intervals in two space-time dimensions the local temperatures might arise from a term in the modular Hamiltonian proportional to the stress tensor. We argue this term might be universal, with a coefficient that is the same for any theory, and check analytically and numerically this is the case for free massive scalar and Dirac fields. In dimensions $d\ge 3$ the local terms in the modular Hamiltonian producing these local temperatures cannot be formed exclusively from the stress tensor. For a free scalar field we classify the structure of the local terms. |
1303.5781 | Christopher Pope | Hai-Shan Liu, H. Lu, C.N. Pope and J. Vazquez-Poritz | Not Conformally-Einstein Metrics in Conformal Gravity | 19 pages, references added | null | 10.1088/0264-9381/30/16/165015 | MIFPA-13-11 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The equations of motion of four-dimensional conformal gravity, whose
Lagrangian is the square of the Weyl tensor, require that the Bach tensor
$E_{\mu\nu}= (\nabla^\rho\nabla^\sigma + \ft12
R^{\rho\sigma})C_{\mu\rho\nu\sigma}$ vanishes. Since $E_{\mu\nu}$ is zero for
any Einstein metric, and any conformal scaling of such a metric, it follows
that large classes of solutions in four-dimensional conformal gravity are
simply given by metrics that are conformal to Einstein metrics (including
Ricci-flat). In fact it becomes more intriguing to find solutions that are {\it
not} conformally Einstein. We obtain five new such vacua, which are homogeneous
and have asymptotic generalized Lifshitz anisotropic scaling symmetry. Four of
these solutions can be further generalized to metrics that are conformal to
classes of pp-waves, with a covariantly-constant null vector. We also obtain
large classes of generalized Lifshitz vacua in Einstein-Weyl gravity.
| [
{
"created": "Fri, 22 Mar 2013 21:08:39 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2013 22:59:28 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Liu",
"Hai-Shan",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
],
[
"Vazquez-Poritz",
"J.",
""
]
] | The equations of motion of four-dimensional conformal gravity, whose Lagrangian is the square of the Weyl tensor, require that the Bach tensor $E_{\mu\nu}= (\nabla^\rho\nabla^\sigma + \ft12 R^{\rho\sigma})C_{\mu\rho\nu\sigma}$ vanishes. Since $E_{\mu\nu}$ is zero for any Einstein metric, and any conformal scaling of such a metric, it follows that large classes of solutions in four-dimensional conformal gravity are simply given by metrics that are conformal to Einstein metrics (including Ricci-flat). In fact it becomes more intriguing to find solutions that are {\it not} conformally Einstein. We obtain five new such vacua, which are homogeneous and have asymptotic generalized Lifshitz anisotropic scaling symmetry. Four of these solutions can be further generalized to metrics that are conformal to classes of pp-waves, with a covariantly-constant null vector. We also obtain large classes of generalized Lifshitz vacua in Einstein-Weyl gravity. |
1106.5661 | Eduardo Guendelman I | E . I. Guendelman and R. Steiner | Electromagnetic Mach principle | 3 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We will introduce a gauge model which an electromagnetic coupling constant
and local mass are related to all the charge in the universe. we will use the
standard Dirac action, but where the mass and the electromagnetic coupling
constant are a function of the sum of all the charge in the universe, which
represent Mach principle for electromagnetic coupling constant. The
formalisation is not manifestly Lorentz invariant, however Lorentz invariance
can be restored by performing a phase transformation of the Dirac field.
| [
{
"created": "Tue, 28 Jun 2011 13:40:41 GMT",
"version": "v1"
}
] | 2011-06-29 | [
[
"Guendelman",
"E . I.",
""
],
[
"Steiner",
"R.",
""
]
] | We will introduce a gauge model which an electromagnetic coupling constant and local mass are related to all the charge in the universe. we will use the standard Dirac action, but where the mass and the electromagnetic coupling constant are a function of the sum of all the charge in the universe, which represent Mach principle for electromagnetic coupling constant. The formalisation is not manifestly Lorentz invariant, however Lorentz invariance can be restored by performing a phase transformation of the Dirac field. |
1306.4298 | Johannes Walcher | Albert Schwarz, Vadim Vologodsky, Johannes Walcher | Framing the Di-Logarithm (over Z) | 22 pages, Contribution to Proceedings of String-Math 2012, Bonn | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by their role for integrality and integrability in topological
string theory, we introduce the general mathematical notion of "s-functions" as
integral linear combinations of poly-logarithms. 2-functions arise as disk
amplitudes in Calabi-Yau D-brane backgrounds and form the simplest and most
important special class. We describe s-functions in terms of the action of the
Frobenius endomorphism on formal power series and use this description to
characterize 2-functions in terms of algebraic K-theory of the completed power
series ring. This characterization leads to a general proof of integrality of
the framing transformation, via a certain orthogonality relation in K-theory.
We comment on a variety of possible applications. We here consider only power
series with rational coefficients; the general situation when the coefficients
belong to an arbitrary algebraic number field is treated in a companion paper.
| [
{
"created": "Tue, 18 Jun 2013 19:00:57 GMT",
"version": "v1"
}
] | 2013-06-19 | [
[
"Schwarz",
"Albert",
""
],
[
"Vologodsky",
"Vadim",
""
],
[
"Walcher",
"Johannes",
""
]
] | Motivated by their role for integrality and integrability in topological string theory, we introduce the general mathematical notion of "s-functions" as integral linear combinations of poly-logarithms. 2-functions arise as disk amplitudes in Calabi-Yau D-brane backgrounds and form the simplest and most important special class. We describe s-functions in terms of the action of the Frobenius endomorphism on formal power series and use this description to characterize 2-functions in terms of algebraic K-theory of the completed power series ring. This characterization leads to a general proof of integrality of the framing transformation, via a certain orthogonality relation in K-theory. We comment on a variety of possible applications. We here consider only power series with rational coefficients; the general situation when the coefficients belong to an arbitrary algebraic number field is treated in a companion paper. |
0907.4532 | Allen Stern | A. Stern | Remarks on an Exact Seiberg-Witten map | 8 pages | Phys.Rev.D80:067703,2009 | 10.1103/PhysRevD.80.067703 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the leading derivative corrections to an expression for the
Seiberg-Witten map given by Banerjee and Yang and show how they affect the
noncommutative deformation of the Maxwell action, as well as the matter
coupling in noncommutative emergent gravity.
| [
{
"created": "Mon, 27 Jul 2009 01:16:30 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Sep 2009 21:45:48 GMT",
"version": "v2"
}
] | 2009-11-06 | [
[
"Stern",
"A.",
""
]
] | We obtain the leading derivative corrections to an expression for the Seiberg-Witten map given by Banerjee and Yang and show how they affect the noncommutative deformation of the Maxwell action, as well as the matter coupling in noncommutative emergent gravity. |
1211.6927 | Stephen Angus | Stephen Angus, Joseph P. Conlon | Soft Supersymmetry Breaking in Anisotropic LARGE Volume
Compactifications | 21 pages, 3 figures; references added | JHEP 1303 (2013) 071 | 10.1007/JHEP03(2013)071 | OUTP-13-01P | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study soft supersymmetry breaking terms for anisotropic LARGE volume
compactifications, where the bulk volume is set by a fibration with one small
four-cycle and one large two-cycle. We consider scenarios where D7s wrap either
a blow-up cycle or the small fibre cycle. Chiral matter can arise either from
modes parallel or perpendicular to the brane. We compute soft terms for this
matter and find that for the case where the D7 brane wraps the fibre cycle the
scalar masses can be parametrically different, allowing a possible splitting of
third-generation soft terms.
| [
{
"created": "Thu, 29 Nov 2012 14:22:29 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Jan 2013 13:26:13 GMT",
"version": "v2"
}
] | 2013-05-20 | [
[
"Angus",
"Stephen",
""
],
[
"Conlon",
"Joseph P.",
""
]
] | We study soft supersymmetry breaking terms for anisotropic LARGE volume compactifications, where the bulk volume is set by a fibration with one small four-cycle and one large two-cycle. We consider scenarios where D7s wrap either a blow-up cycle or the small fibre cycle. Chiral matter can arise either from modes parallel or perpendicular to the brane. We compute soft terms for this matter and find that for the case where the D7 brane wraps the fibre cycle the scalar masses can be parametrically different, allowing a possible splitting of third-generation soft terms. |
hep-th/9309151 | null | M. Chaichian, R. Gonzalez Felipe and D. Louis Martinez | Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian
Formulations | 9 pages, Latex, HU-SEFT R 1993-11 | Phys.Rev.Lett. 71 (1993) 3405-3408; Erratum-ibid. 73 (1994) 2009 | 10.1103/PhysRevLett.71.3405 | null | hep-th | null | We propose a simple model for a free relativistic particle of fractional spin
in 2+1 dimensions which satisfies all the necessary conditions. The canonical
quantization of the system leads to the description of one- particle states of
the Poincare group with arbitrary spin. Using the Hamil- tonian formulation
with the set of constraints, we introduce the electro- magnetic interaction of
a charged anyon and obtain the Lagrangian. The Casimir operator of the extended
algebra, which is the first-class constraint, is obtained and gives the
equation of motion of the anyon. In particular, from the latter it follows that
the gyromagnetic ratio for a charged anyon is two due to the parallelness of
spin and momentum of the particle in 2+1 dimensions. The canonical quantization
is also considered in this case.
| [
{
"created": "Mon, 27 Sep 1993 06:38:04 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Chaichian",
"M.",
""
],
[
"Felipe",
"R. Gonzalez",
""
],
[
"Martinez",
"D. Louis",
""
]
] | We propose a simple model for a free relativistic particle of fractional spin in 2+1 dimensions which satisfies all the necessary conditions. The canonical quantization of the system leads to the description of one- particle states of the Poincare group with arbitrary spin. Using the Hamil- tonian formulation with the set of constraints, we introduce the electro- magnetic interaction of a charged anyon and obtain the Lagrangian. The Casimir operator of the extended algebra, which is the first-class constraint, is obtained and gives the equation of motion of the anyon. In particular, from the latter it follows that the gyromagnetic ratio for a charged anyon is two due to the parallelness of spin and momentum of the particle in 2+1 dimensions. The canonical quantization is also considered in this case. |
hep-th/9401157 | J. Maharana | Jnanadeva Maharana and Lambodhar P. Singh | Theory of Loops and Strings with Matter in the Adjoint Representation | 22 pages (4 figures on request) | Int.J.Mod.Phys. A10 (1995) 807-826 | 10.1142/S0217751X95000395 | null | hep-th | null | We have presented canonical and path integral formulations of a theory of
loops and closed strings with the matter field quanta transforming in the
adjoint representation of the SU(N) gauge group. The physical processes arising
out of the interactions of loops and closed strings are discussed.
| [
{
"created": "Sat, 29 Jan 1994 10:07:20 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Maharana",
"Jnanadeva",
""
],
[
"Singh",
"Lambodhar P.",
""
]
] | We have presented canonical and path integral formulations of a theory of loops and closed strings with the matter field quanta transforming in the adjoint representation of the SU(N) gauge group. The physical processes arising out of the interactions of loops and closed strings are discussed. |
2212.10487 | Wagner Oliveira dos Santos | W. Oliveira dos Santos, E. R. Bezerra de Mello | Finite temperature energy-momentum tensor in compactified cosmic string
spacetime | 23 pages, 5 figures; Version accepted for publication in EPJC | null | 10.1140/epjc/s10052-023-11287-3 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we analyze the expectation value of the field squared and the
energy-momentum tensor associated with a massive charged scalar quantum field
with a nonzero chemical potential propagating in a high-dimensional
compactified cosmic string spacetime in thermal equilibrium at finite
temperature $T$. Moreover, we assume that the charged quantum field interacts
with a very thin magnetic flux running along the core of the idealized cosmic
string, and with a magnetic flux enclosed by the compact dimension. These
observables are expressed as the vacuum expectation values and the finite
temperature contributions coming from the particles and antiparticles
excitations. Due to the compactification, the thermal corrections can be
decomposed in a part induced by the cosmic string spacetime without
compactification, plus a contribution induced by the compactification. This
decompositions explicitly follows from the Abel-Plana formula used to proceed
the summation over the discrete quantum number associated with the
quasiperiodic condition imposed on the quantum field along the compact
dimension. The expectations values of the field squared and the energy-momentum
tensor are even periodic functions of the magnetic flux with period being the
quantum flux, and also even functions of the chemical potential. Our main
objectives in this paper concern in the investigation of the thermal
corrections only. In this way we explicitly calculate the behavior of these
observables in the limits of low and high temperature. We show that the
temperature enhance the induced densities. In addition some graphs are also
included in order to exhibit these behaviors.
| [
{
"created": "Tue, 20 Dec 2022 18:04:28 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2023 18:10:55 GMT",
"version": "v2"
}
] | 2023-02-21 | [
[
"Santos",
"W. Oliveira dos",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] | In this paper we analyze the expectation value of the field squared and the energy-momentum tensor associated with a massive charged scalar quantum field with a nonzero chemical potential propagating in a high-dimensional compactified cosmic string spacetime in thermal equilibrium at finite temperature $T$. Moreover, we assume that the charged quantum field interacts with a very thin magnetic flux running along the core of the idealized cosmic string, and with a magnetic flux enclosed by the compact dimension. These observables are expressed as the vacuum expectation values and the finite temperature contributions coming from the particles and antiparticles excitations. Due to the compactification, the thermal corrections can be decomposed in a part induced by the cosmic string spacetime without compactification, plus a contribution induced by the compactification. This decompositions explicitly follows from the Abel-Plana formula used to proceed the summation over the discrete quantum number associated with the quasiperiodic condition imposed on the quantum field along the compact dimension. The expectations values of the field squared and the energy-momentum tensor are even periodic functions of the magnetic flux with period being the quantum flux, and also even functions of the chemical potential. Our main objectives in this paper concern in the investigation of the thermal corrections only. In this way we explicitly calculate the behavior of these observables in the limits of low and high temperature. We show that the temperature enhance the induced densities. In addition some graphs are also included in order to exhibit these behaviors. |
1007.3111 | N. E. J. Bjerrum-Bohr | N.E.J. Bjerrum-Bohr, Poul H. Damgaard, Bo Feng, Thomas Sondergaard | Proof of Gravity and Yang-Mills Amplitude Relations | 17 pages, no figures, JHEP | JHEP 1009:067,2010 | 10.1007/JHEP09(2010)067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using BCFW on-shell recursion techniques, we prove a sequence of explicit
n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes
at tree level.
| [
{
"created": "Mon, 19 Jul 2010 10:19:10 GMT",
"version": "v1"
}
] | 2014-11-21 | [
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Damgaard",
"Poul H.",
""
],
[
"Feng",
"Bo",
""
],
[
"Sondergaard",
"Thomas",
""
]
] | Using BCFW on-shell recursion techniques, we prove a sequence of explicit n-point Kawai-Lewellen-Tye relations between gravity and Yang-Mills amplitudes at tree level. |
hep-th/0209259 | Ahmed Jellal | Ahmed Jellal | Noncommutativity Parameter and Composite Fermions | 14 pages, 1 table, misprints corrected, to be published in MPLA | Mod.Phys.Lett. A18 (2003) 1473-1484 | 10.1142/S0217732303011393 | null | hep-th | null | We determine some particular values of the noncommutativity parameter \theta
and show that the Murthy-Shankar approach is in fact a particular case of a
more general one. Indeed, using the fractional quantum Hall effect (FQHE)
experimental data, we give a measurement of \theta. This measurement can be
obtained by considering some values of the filling factor \nu and other
ingredients, magnetic field B and electron density \rho. Moreover, it is found
that \theta can be quantized either fractionally or integrally in terms of the
magnetic length l_0 and the quantization is exactly what Murthy and Shankar
formulated recently for the FQHE. On the other hand, we show that the mapping
of the FQHE in terms of the composite fermion basis has a noncommutative
geometry nature and therefore there is a more general way than the
Murthy-Shankar method to do this mapping.
| [
{
"created": "Mon, 30 Sep 2002 10:53:53 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jun 2003 08:54:06 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Jellal",
"Ahmed",
""
]
] | We determine some particular values of the noncommutativity parameter \theta and show that the Murthy-Shankar approach is in fact a particular case of a more general one. Indeed, using the fractional quantum Hall effect (FQHE) experimental data, we give a measurement of \theta. This measurement can be obtained by considering some values of the filling factor \nu and other ingredients, magnetic field B and electron density \rho. Moreover, it is found that \theta can be quantized either fractionally or integrally in terms of the magnetic length l_0 and the quantization is exactly what Murthy and Shankar formulated recently for the FQHE. On the other hand, we show that the mapping of the FQHE in terms of the composite fermion basis has a noncommutative geometry nature and therefore there is a more general way than the Murthy-Shankar method to do this mapping. |
1512.08685 | Kevin Goldstein | Kevin Goldstein, Vishnu Jejjala, Suresh Nampuri | The Hot Attractor Mechanism: Decoupling Without Deep Throats | References added | null | 10.1007/JHEP04(2016)026 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-extremal black holes in $\mathcal{N}=2$ supergravity have two horizons,
the geometric mean of whose areas recovers the horizon area of the extremal
black hole obtained from taking a smooth zero temperature limit. In prior work
(arxiv:1410.3478), using the attractor mechanism, we deduced the existence of
several moduli independent invariant quantities obtained from averaging over a
decoupled inter-horizon region. We establish that non-extremal geometries at
the Reissner--Nordstr\"om point, where the scalar moduli are held fixed, can be
lifted to solutions in supergravity with a near-horizon AdS$_3\times$S$^2$.
These solutions have the same entropy and temperature as the original black
hole and therefore allow an interpretation of the underlying gravitational
degrees of freedom in terms of CFT$_2$. Symmetries of the moduli space enable
us to explicate the origin of entropy in the extremal limit.
| [
{
"created": "Tue, 29 Dec 2015 14:09:35 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2016 11:39:51 GMT",
"version": "v2"
}
] | 2016-05-04 | [
[
"Goldstein",
"Kevin",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Nampuri",
"Suresh",
""
]
] | Non-extremal black holes in $\mathcal{N}=2$ supergravity have two horizons, the geometric mean of whose areas recovers the horizon area of the extremal black hole obtained from taking a smooth zero temperature limit. In prior work (arxiv:1410.3478), using the attractor mechanism, we deduced the existence of several moduli independent invariant quantities obtained from averaging over a decoupled inter-horizon region. We establish that non-extremal geometries at the Reissner--Nordstr\"om point, where the scalar moduli are held fixed, can be lifted to solutions in supergravity with a near-horizon AdS$_3\times$S$^2$. These solutions have the same entropy and temperature as the original black hole and therefore allow an interpretation of the underlying gravitational degrees of freedom in terms of CFT$_2$. Symmetries of the moduli space enable us to explicate the origin of entropy in the extremal limit. |
hep-th/0508053 | H{\aa}kon Enger | H{\aa}kon Enger, Andreas Recknagel, Daniel Roggenkamp | Permutation branes and linear matrix factorisations | 43 pages. v2: References added | JHEP0601:087,2006 | 10.1088/1126-6708/2006/01/087 | null | hep-th | null | All the known rational boundary states for Gepner models can be regarded as
permutation branes. On general grounds, one expects that topological branes in
Gepner models can be encoded as matrix factorisations of the corresponding
Landau-Ginzburg potentials. In this paper we identify the matrix factorisations
associated to arbitrary B-type permutation branes.
| [
{
"created": "Mon, 8 Aug 2005 10:27:31 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2005 15:17:16 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Enger",
"Håkon",
""
],
[
"Recknagel",
"Andreas",
""
],
[
"Roggenkamp",
"Daniel",
""
]
] | All the known rational boundary states for Gepner models can be regarded as permutation branes. On general grounds, one expects that topological branes in Gepner models can be encoded as matrix factorisations of the corresponding Landau-Ginzburg potentials. In this paper we identify the matrix factorisations associated to arbitrary B-type permutation branes. |
hep-th/9508027 | Won-Sik Lyi | W. S. l'Yi | Non-Hermitian quantum canonical variables and the generalized ladder
operators | 18 pages, plain LaTeX | null | 10.1103/PhysRevA.53.1251 | null | hep-th | null | Quantum canonical transformations of the second kind and the non-Hermitian
realizations of the basic canonical commutation relations are investigated with
a special interest in the generalization of the conventional ladder operators.
The operator ordering problem is shown to be resolved when the non-Hermitian
realizations for the canonical variables which can not be measured
simultaneously with the energy are chosen for the canonical quantizations.
Another merit of the non-Hermitian representations is that it naturally allows
us to introduce the generalized ladder operators with which one can solve
eigenvalue problems quite neatly.
| [
{
"created": "Mon, 7 Aug 1995 07:25:55 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"l'Yi",
"W. S.",
""
]
] | Quantum canonical transformations of the second kind and the non-Hermitian realizations of the basic canonical commutation relations are investigated with a special interest in the generalization of the conventional ladder operators. The operator ordering problem is shown to be resolved when the non-Hermitian realizations for the canonical variables which can not be measured simultaneously with the energy are chosen for the canonical quantizations. Another merit of the non-Hermitian representations is that it naturally allows us to introduce the generalized ladder operators with which one can solve eigenvalue problems quite neatly. |
hep-th/9406216 | Amitabha Lahiri | E. J. Copeland, Amitabha Lahiri and David Wands | Low energy effective string cosmology | 22 pages, LaTeX, SUSX-TH-94/37, SUSSEX-AST-94/6-2. (Some terminology
and figure captions corrected, references added.) | Phys.Rev. D50 (1994) 4868-4880 | 10.1103/PhysRevD.50.4868 | null | hep-th gr-qc | null | We give the general analytic solutions derived from the low energy string
effective action for four dimensional Friedmann-Robertson-Walker models with
dilaton and antisymmetric tensor field, considering both long and short
wavelength modes of the $H$-field. The presence of a homogeneous $H$-field
significantly modifies the evolution of the scale factor and dilaton. In
particular it places a lower bound on the allowed value of the dilaton. The
scale factor also has a lower bound but our solutions remain singular as they
all contain regions where the spacetime curvature diverges signalling a
breakdown in the validity of the effective action. We extend our results to the
simplest Bianchi I metric in higher dimensions with only two scale factors. We
again give the general analytic solutions for long and short wavelength modes
for the $H$ field restricted to the three dimensional space, which produces an
anisotropic expansion. In the case of $H$ field radiation (wavelengths within
the Hubble length) we obtain the usual four dimensional radiation dominated FRW
model as the unique late time attractor.
| [
{
"created": "Thu, 30 Jun 1994 18:49:38 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Aug 1994 14:57:13 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Copeland",
"E. J.",
""
],
[
"Lahiri",
"Amitabha",
""
],
[
"Wands",
"David",
""
]
] | We give the general analytic solutions derived from the low energy string effective action for four dimensional Friedmann-Robertson-Walker models with dilaton and antisymmetric tensor field, considering both long and short wavelength modes of the $H$-field. The presence of a homogeneous $H$-field significantly modifies the evolution of the scale factor and dilaton. In particular it places a lower bound on the allowed value of the dilaton. The scale factor also has a lower bound but our solutions remain singular as they all contain regions where the spacetime curvature diverges signalling a breakdown in the validity of the effective action. We extend our results to the simplest Bianchi I metric in higher dimensions with only two scale factors. We again give the general analytic solutions for long and short wavelength modes for the $H$ field restricted to the three dimensional space, which produces an anisotropic expansion. In the case of $H$ field radiation (wavelengths within the Hubble length) we obtain the usual four dimensional radiation dominated FRW model as the unique late time attractor. |
hep-th/9801155 | Marco Cavagli\`a | Marco Cavaglia (AEI Potsdam), Lorenzo Fatibene (Univ. Torino), Mauro
Francaviglia (Univ. Torino) | Two-Dimensional Dilaton-Gravity Coupled to Massless Spinors | 21 pages, LaTeX, minor changes in text and format, final version to
appear in Classical and Quantum Gravity | Class.Quant.Grav. 15 (1998) 3627-3643 | 10.1088/0264-9381/15/11/021 | null | hep-th gr-qc | null | We apply a global and geometrically well-defined formalism for
spinor-dilaton-gravity to two-dimensional manifolds. We discuss the general
formalism and focus attention on some particular choices of the dilatonic
potential. For constant dilatonic potential the model turns out to be
completely solvable and the general solution is found. For linear and
exponential dilatonic potentials we present the class of exact solutions with a
Killing vector.
| [
{
"created": "Fri, 23 Jan 1998 12:51:24 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 1998 16:15:39 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Cavaglia",
"Marco",
"",
"AEI Potsdam"
],
[
"Fatibene",
"Lorenzo",
"",
"Univ. Torino"
],
[
"Francaviglia",
"Mauro",
"",
"Univ. Torino"
]
] | We apply a global and geometrically well-defined formalism for spinor-dilaton-gravity to two-dimensional manifolds. We discuss the general formalism and focus attention on some particular choices of the dilatonic potential. For constant dilatonic potential the model turns out to be completely solvable and the general solution is found. For linear and exponential dilatonic potentials we present the class of exact solutions with a Killing vector. |
hep-th/0212212 | Romuald A. Janik | Yves Demasure, Romuald A. Janik | Explicit factorization of Seiberg-Witten curves with matter from random
matrix models | 28 pages; v2: published version | Nucl.Phys. B661 (2003) 153-173 | 10.1016/S0550-3213(03)00346-8 | null | hep-th math-ph math.MP | null | Within the Dijkgraaf-Vafa correspondence, we study the complete factorization
of the Seiberg-Witten curve for U(N_c) gauge theory with N_f<N_c massive
flavors. We obtain explicit expressions, from random matrix theory, for the
moduli, parametrizing the curve. These moduli characterize the submanifold of
the Coulomb branch where all monopoles become massless. We find that the matrix
model reveals some non-trivial structures of the gauge theory. In particular
the moduli are additive with respect to adding extra matter and increasing the
number of colors.
| [
{
"created": "Wed, 18 Dec 2002 18:30:22 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Sep 2003 14:49:55 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Demasure",
"Yves",
""
],
[
"Janik",
"Romuald A.",
""
]
] | Within the Dijkgraaf-Vafa correspondence, we study the complete factorization of the Seiberg-Witten curve for U(N_c) gauge theory with N_f<N_c massive flavors. We obtain explicit expressions, from random matrix theory, for the moduli, parametrizing the curve. These moduli characterize the submanifold of the Coulomb branch where all monopoles become massless. We find that the matrix model reveals some non-trivial structures of the gauge theory. In particular the moduli are additive with respect to adding extra matter and increasing the number of colors. |
0911.4597 | Vladimir Belavin | A.Belavin, V.Belavin | Higher Equations of Motion in Boundary Liouville Field Theory | 18 pages | JHEP 1002:010,2010 | 10.1007/JHEP02(2010)010 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In addition to the ordinary bulk higher equations of motion in the boundary
version of the Liouville conformal field theory, an infinite set of relations
containing the boundary operators is found. These equations are in one-to-one
correspondence with the singular representations of the Virasoro algebra. We
comment on the possible applications in the context of minimal boundary
Liouville gravity.
| [
{
"created": "Tue, 24 Nov 2009 10:58:49 GMT",
"version": "v1"
}
] | 2010-03-04 | [
[
"Belavin",
"A.",
""
],
[
"Belavin",
"V.",
""
]
] | In addition to the ordinary bulk higher equations of motion in the boundary version of the Liouville conformal field theory, an infinite set of relations containing the boundary operators is found. These equations are in one-to-one correspondence with the singular representations of the Virasoro algebra. We comment on the possible applications in the context of minimal boundary Liouville gravity. |
1903.03559 | Kirill Pavlenko | Anatoly Dymarsky and Kirill Pavlenko | Generalized Eigenstate Thermalization in 2d CFTs | null | Phys. Rev. Lett. 123, 111602 (2019) | 10.1103/PhysRevLett.123.111602 | null | hep-th cond-mat.quant-gas cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Infinite-dimensional conformal symmetry in two dimensions leads to
integrability of 2d conformal field theories through an infinite tower of local
conserved qKdV charges in involution. We discuss the role this integrable
structure plays in equilibration of 2d CFTs. We show that in the thermodynamic
limit large central charge 2d CFTs satisfy generalized eigenstate
thermalization, with the values of qKdV charges forming a complete set of
thermodynamically relevant quantities, which unambiguously determine
expectation values of all local observables from the vacuum family. Our work
settles the question if non-local or quasi-local charges are necessary to
describe equilibrium of large central charge 2d CFTs by showing that upon
equilibration local physics can be described by the Generalized Gibbs Ensemble
that only includes qKdV charges. In the case of a general initial state, upon
equilibration, emerging Generalized Gibbs Ensemble will include negative
chemical potentials and holographically will be described by a quasi-classical
black hole with quantum soft hair.
| [
{
"created": "Fri, 8 Mar 2019 17:11:13 GMT",
"version": "v1"
}
] | 2019-09-18 | [
[
"Dymarsky",
"Anatoly",
""
],
[
"Pavlenko",
"Kirill",
""
]
] | Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2d conformal field theories through an infinite tower of local conserved qKdV charges in involution. We discuss the role this integrable structure plays in equilibration of 2d CFTs. We show that in the thermodynamic limit large central charge 2d CFTs satisfy generalized eigenstate thermalization, with the values of qKdV charges forming a complete set of thermodynamically relevant quantities, which unambiguously determine expectation values of all local observables from the vacuum family. Our work settles the question if non-local or quasi-local charges are necessary to describe equilibrium of large central charge 2d CFTs by showing that upon equilibration local physics can be described by the Generalized Gibbs Ensemble that only includes qKdV charges. In the case of a general initial state, upon equilibration, emerging Generalized Gibbs Ensemble will include negative chemical potentials and holographically will be described by a quasi-classical black hole with quantum soft hair. |
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