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/9606089 | Victor Gurarie | V. Gurarie | Exact Computations in the Burgers Problem | 7 pages, LATEX, the interpretations of the results is completely
changed in the replaced version | null | null | null | hep-th chao-dyn cond-mat nlin.CD | null | We complete the program outlined in the paper of the author with A. Migdal
and sum up exactly all the fluctuations around the instanton solution of the
randomly large scale driven Burgers equation. We choose the force correlation
function $\kappa$ to be exactly quadratic function of the coordinate
difference. The resulting probability distribution satisfy the differential
equation proposed by Polyakov without an anomaly term. The result shows that
unless the anomaly term is indeed absent it must come from other possible
instanton solutions, and not from the fluctuations.
| [
{
"created": "Fri, 14 Jun 1996 19:30:31 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Sep 1996 22:19:29 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Gurarie",
"V.",
""
]
] | We complete the program outlined in the paper of the author with A. Migdal and sum up exactly all the fluctuations around the instanton solution of the randomly large scale driven Burgers equation. We choose the force correlation function $\kappa$ to be exactly quadratic function of the coordinate difference. The resulting probability distribution satisfy the differential equation proposed by Polyakov without an anomaly term. The result shows that unless the anomaly term is indeed absent it must come from other possible instanton solutions, and not from the fluctuations. |
hep-th/9412201 | Abrikosov Alexei A. | A. A. Abrikosov Jr | The Problem of Ground State in Thermo-Field Dynamics | 8pp. Latex file with 4 Latex figures incorporated. (Talk given at 3rd
Workshop on Thermal Field Theories, August 1993, Banff, Canada.) | null | null | NSF-ITP-94-22 | hep-th hep-ph | null | Analytic continuation of quantum statistical physics from imaginary to real
time is analyzed. Adiabatic vanishing of interactions at real time infinities
gives origin to singularities at complex times. This undermines the hypothesis
of decoupling of interactions at $t \rightarrow \infty$. Hence an interacting
thermal vacuum is a necessary component of the exact real-time formalism.
Consequences for Thermo-field dynamics are discussed.
| [
{
"created": "Thu, 22 Dec 1994 18:07:53 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Abrikosov",
"A. A.",
"Jr"
]
] | Analytic continuation of quantum statistical physics from imaginary to real time is analyzed. Adiabatic vanishing of interactions at real time infinities gives origin to singularities at complex times. This undermines the hypothesis of decoupling of interactions at $t \rightarrow \infty$. Hence an interacting thermal vacuum is a necessary component of the exact real-time formalism. Consequences for Thermo-field dynamics are discussed. |
hep-th/0210188 | Jan Naudts | Jan Naudts, Maciej Kuna, and Wojciech De Roeck | Photon fields in a fluctuating spacetime | 18 pages | null | null | null | hep-th gr-qc math-ph math.MP | null | We present a model of interacting quantum fields, formulated in a
non-perturbative manner. One of the fields is treated semi-classically, the
other is the photon field. The model has an interpretation of an
electromagnetic field in a fluctuating spacetime.
The model is equivalent with the quantization of electromagnetism proposed
recently by Czachor. Interesting features are that standard photon theory is
recovered as a limiting case, and that localized field operators for the
electromagnetic field exist as unbounded operators in Hilbert space.
| [
{
"created": "Sun, 20 Oct 2002 15:51:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Naudts",
"Jan",
""
],
[
"Kuna",
"Maciej",
""
],
[
"De Roeck",
"Wojciech",
""
]
] | We present a model of interacting quantum fields, formulated in a non-perturbative manner. One of the fields is treated semi-classically, the other is the photon field. The model has an interpretation of an electromagnetic field in a fluctuating spacetime. The model is equivalent with the quantization of electromagnetism proposed recently by Czachor. Interesting features are that standard photon theory is recovered as a limiting case, and that localized field operators for the electromagnetic field exist as unbounded operators in Hilbert space. |
1707.07166 | S. Prem Kumar | Justin R. David, Surbhi Khetrapal and S. Prem Kumar | Local quenches and quantum chaos from higher spin perturbations | Replaced with version to appear in JHEP. Discussion included to
clarify compatibility of the bound deduced in this paper with that of arXiv:
1707.07717 | null | 10.1007/JHEP10(2017)156 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study local quenches in 1+1 dimensional conformal field theories at
large-c by operators carrying higher spin charge. Viewing such states as
solutions in Chern-Simons theory, representing infalling massive particles with
spin-three charge in the BTZ background, we use the Wilson line prescription to
compute the single-interval entanglement entropy (EE) and scrambling time
following the quench. We find that the change in EE is finite (and real) only
if the spin-three charge q is bounded by the energy of the perturbation E, as
|q|/c < E^2/c^2. We show that the Wilson line/EE correlator deep in the
quenched regime and its expansion for small quench widths overlaps with the
Regge limit for chaos of the out-of-time-ordered correlator. We further find
that the scrambling time for the two-sided mutual information between two
intervals in the thermofield double state increases with increasing spin-three
charge, diverging when the bound is saturated. For larger values of the charge,
the scrambling time is shorter than for pure gravity and controlled by the
spin-three Lyapunov exponent 4\pi/\beta. In a CFT with higher spin chemical
potential, dual to a higher spin black hole, we find that the chemical
potential must be bounded to ensure that the mutual information is a concave
function of time and entanglement speed is less than the speed of light. In
this case, a quench with zero higher spin charge yields the same Lyapunov
exponent as pure Einstein gravity.
| [
{
"created": "Sat, 22 Jul 2017 13:47:47 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Aug 2017 10:29:28 GMT",
"version": "v2"
},
{
"created": "Tue, 17 Oct 2017 19:06:17 GMT",
"version": "v3"
}
] | 2017-11-22 | [
[
"David",
"Justin R.",
""
],
[
"Khetrapal",
"Surbhi",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We study local quenches in 1+1 dimensional conformal field theories at large-c by operators carrying higher spin charge. Viewing such states as solutions in Chern-Simons theory, representing infalling massive particles with spin-three charge in the BTZ background, we use the Wilson line prescription to compute the single-interval entanglement entropy (EE) and scrambling time following the quench. We find that the change in EE is finite (and real) only if the spin-three charge q is bounded by the energy of the perturbation E, as |q|/c < E^2/c^2. We show that the Wilson line/EE correlator deep in the quenched regime and its expansion for small quench widths overlaps with the Regge limit for chaos of the out-of-time-ordered correlator. We further find that the scrambling time for the two-sided mutual information between two intervals in the thermofield double state increases with increasing spin-three charge, diverging when the bound is saturated. For larger values of the charge, the scrambling time is shorter than for pure gravity and controlled by the spin-three Lyapunov exponent 4\pi/\beta. In a CFT with higher spin chemical potential, dual to a higher spin black hole, we find that the chemical potential must be bounded to ensure that the mutual information is a concave function of time and entanglement speed is less than the speed of light. In this case, a quench with zero higher spin charge yields the same Lyapunov exponent as pure Einstein gravity. |
1410.8845 | Subodh Patil | Ignatios Antoniadis and Subodh P. Patil | The Effective Planck Mass and the Scale of Inflation | 9 pages + 3 appendices, 4 figures. References added, distinction
between the strength of gravity and strong coupling scale emphasized. Matches
version to appear in EPJC | null | 10.1140/epjc/s10052-015-3411-z | CERN-PH-TH-2014-205 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Observable quantities in cosmology are dimensionless, and therefore
independent of the units in which they are measured. This is true of all
physical quantities associated with the primordial perturbations that source
cosmic microwave background anisotropies such as their amplitude and spectral
properties. However, if one were to try and infer an absolute energy scale for
inflation-- a priori, one of the more immediate corollaries of detecting
primordial tensor modes-- one necessarily makes reference to a particular
choice of units, the natural choice for which is Planck units. In this note, we
discuss various aspects of how inferring the energy scale of inflation is
complicated by the fact that the effective strength of gravity as seen by
inflationary quanta necessarily differs from that seen by gravitational
experiments at presently accessible scales. The uncertainty in the former
relative to the latter has to do with the unknown spectrum of universally
coupled particles between laboratory scales and the putative scale of
inflation. These intermediate particles could be in hidden as well as visible
sectors or could also be associated with Kaluza-Klein resonances associated
with a compactification scale below the scale of inflation. We discuss various
implications for cosmological observables.
| [
{
"created": "Fri, 31 Oct 2014 18:49:11 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Apr 2015 14:04:26 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Patil",
"Subodh P.",
""
]
] | Observable quantities in cosmology are dimensionless, and therefore independent of the units in which they are measured. This is true of all physical quantities associated with the primordial perturbations that source cosmic microwave background anisotropies such as their amplitude and spectral properties. However, if one were to try and infer an absolute energy scale for inflation-- a priori, one of the more immediate corollaries of detecting primordial tensor modes-- one necessarily makes reference to a particular choice of units, the natural choice for which is Planck units. In this note, we discuss various aspects of how inferring the energy scale of inflation is complicated by the fact that the effective strength of gravity as seen by inflationary quanta necessarily differs from that seen by gravitational experiments at presently accessible scales. The uncertainty in the former relative to the latter has to do with the unknown spectrum of universally coupled particles between laboratory scales and the putative scale of inflation. These intermediate particles could be in hidden as well as visible sectors or could also be associated with Kaluza-Klein resonances associated with a compactification scale below the scale of inflation. We discuss various implications for cosmological observables. |
1206.2991 | Satoshi Nagaoka | Satoshi Nagaoka | Intersecting brane models and F-theory in six dimensions | 28 pages, 5 figures, added references, typos corrected, minor
corrections. Version to appear in Nucl. Phys. B | null | 10.1016/j.nuclphysb.2012.07.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze six-dimensional supergravity theories coming from intersecting
brane models on the toroidal orbifold T^4/Z_2. We use recently developed tools
for mapping general 6D supergravity theories to F-theory to identify F-theory
constructions dual to the intersecting brane models. The F-theory picture
illuminates several aspects of these models. In particular, we have some new
insight into the matter spectrum on intersecting branes, and analyze gauge
group enhancement as branes approach orbifold points. These novel features of
intersecting brane models are also relevant in four dimensions, and are
confirmed in 6D using more standard Chan-Paton methods.
| [
{
"created": "Thu, 14 Jun 2012 03:19:06 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jul 2012 07:17:00 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Nagaoka",
"Satoshi",
""
]
] | We analyze six-dimensional supergravity theories coming from intersecting brane models on the toroidal orbifold T^4/Z_2. We use recently developed tools for mapping general 6D supergravity theories to F-theory to identify F-theory constructions dual to the intersecting brane models. The F-theory picture illuminates several aspects of these models. In particular, we have some new insight into the matter spectrum on intersecting branes, and analyze gauge group enhancement as branes approach orbifold points. These novel features of intersecting brane models are also relevant in four dimensions, and are confirmed in 6D using more standard Chan-Paton methods. |
hep-th/9908181 | Marcelo Gomes | M. Gomes, L. C. Malacarne and A. J. da Silva | On spin-1 massive particles coupled to a Chern-Simons field | 14 pages, 5 figures, revtex | Phys.Rev.D60:125016,1999 | 10.1103/PhysRevD.60.125016 | null | hep-th | null | We study spin one particles interacting through a Chern-Simons field. In the
Born approximation, we calculate the two body scattering amplitude considering
three possible ways to introduce the interaction: (a) a Proca like model
minimally coupled to a Chern-Simons field, (b) the model obtained from (a) by
replacing the Proca's mass by a Chern-Simons term and (c) a complex
Maxwell-Chern-Simons model minimally coupled to a Chern-Simons field. In the
low energy regime the results show similarities with the Aharonov-Bohm
scattering for spin 1/2 particles. We discuss the one loop renormalization
program for the Proca's model. In spite of the bad ultraviolet behavior of the
matter field propagator, we show that, up to one loop the model is power
counting renormalizable thanks to the Ward identities satisfied by the
interaction vertices.
| [
{
"created": "Fri, 27 Aug 1999 15:13:31 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Gomes",
"M.",
""
],
[
"Malacarne",
"L. C.",
""
],
[
"da Silva",
"A. J.",
""
]
] | We study spin one particles interacting through a Chern-Simons field. In the Born approximation, we calculate the two body scattering amplitude considering three possible ways to introduce the interaction: (a) a Proca like model minimally coupled to a Chern-Simons field, (b) the model obtained from (a) by replacing the Proca's mass by a Chern-Simons term and (c) a complex Maxwell-Chern-Simons model minimally coupled to a Chern-Simons field. In the low energy regime the results show similarities with the Aharonov-Bohm scattering for spin 1/2 particles. We discuss the one loop renormalization program for the Proca's model. In spite of the bad ultraviolet behavior of the matter field propagator, we show that, up to one loop the model is power counting renormalizable thanks to the Ward identities satisfied by the interaction vertices. |
2307.16712 | Per Berglund | Per Berglund, Tristan H\"ubsch, Djordje Minic | String Theory Bounds on the Cosmological Constant, the Higgs mass, and
the Quark and Lepton Masses | 31 pages, minor edits, reference added | null | 10.3390/sym15091660 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on the new understanding of the cosmological constant and the
gauge hierarchy problems in the context of string theory in its metastring
formulation, based on the concepts of modular spacetime and Born geometry. The
interplay of phase space (and Born geometry), the Bekenstein bound, the mixing
between ultraviolet (UV) and infrared (IR) physics and modular invariance in
string theory is emphasized. This new viewpoint is fundamentally rooted in
quantum contextuality and not in statistical observer bias (anthropic
principle). We also discuss the extension of this point of view to the problem
of masses of quarks and leptons and their respective mixing matrices.
| [
{
"created": "Mon, 31 Jul 2023 14:32:37 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Aug 2023 17:58:53 GMT",
"version": "v2"
}
] | 2023-08-30 | [
[
"Berglund",
"Per",
""
],
[
"Hübsch",
"Tristan",
""
],
[
"Minic",
"Djordje",
""
]
] | We elaborate on the new understanding of the cosmological constant and the gauge hierarchy problems in the context of string theory in its metastring formulation, based on the concepts of modular spacetime and Born geometry. The interplay of phase space (and Born geometry), the Bekenstein bound, the mixing between ultraviolet (UV) and infrared (IR) physics and modular invariance in string theory is emphasized. This new viewpoint is fundamentally rooted in quantum contextuality and not in statistical observer bias (anthropic principle). We also discuss the extension of this point of view to the problem of masses of quarks and leptons and their respective mixing matrices. |
1907.02440 | Fedor Popov | Fedor K. Popov | Supersymmetric Tensor Model at Large $N$ and Small $\epsilon$ | 30 pages, 5 figures | Phys. Rev. D 101, 026020 (2020) | 10.1103/PhysRevD.101.026020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the $O(N)^3$ supersymmetric quantum field theory of a scalar
superfield $\Phi_{abc}$ with a tetrahedral interaction. In the large $N$ limit
the theory is dominated by the melonic diagrams. We solve the corresponding
Dyson-Schwinger equations in continuous dimensions below $3$. For sufficiently
large $N$ we find an IR stable fixed point and computed the $3-\epsilon$
expansion up to the second order of perturbation theory, which is in agreement
with the solution of DS equations. We also describe the $1+\epsilon$ expansion
of the model and discuss the possiblity of adding the Chern-Simons action to
gauge the supersymmetric model.
| [
{
"created": "Thu, 4 Jul 2019 14:57:46 GMT",
"version": "v1"
}
] | 2020-02-05 | [
[
"Popov",
"Fedor K.",
""
]
] | We study the $O(N)^3$ supersymmetric quantum field theory of a scalar superfield $\Phi_{abc}$ with a tetrahedral interaction. In the large $N$ limit the theory is dominated by the melonic diagrams. We solve the corresponding Dyson-Schwinger equations in continuous dimensions below $3$. For sufficiently large $N$ we find an IR stable fixed point and computed the $3-\epsilon$ expansion up to the second order of perturbation theory, which is in agreement with the solution of DS equations. We also describe the $1+\epsilon$ expansion of the model and discuss the possiblity of adding the Chern-Simons action to gauge the supersymmetric model. |
1606.04879 | Mikhail Volkov | Gary W. Gibbons and Mikhail S. Volkov | Ring wormholes via duality rotations | matches the published version | Phys.Lett. B760 (2016) 324-328 | 10.1016/j.physletb.2016.07.012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply duality rotations and complex transformations to the Schwarzschild
metric to obtain wormhole geometries with two asymptotically flat regions
connected by a throat. In the simplest case these are the well-known wormholes
supported by phantom scalar field. Further duality rotations remove the scalar
field to yield less well known vacuum metrics of the oblate Zipoy-Voorhees-Weyl
class, which describe ring wormholes. The ring encircles the wormhole throat
and can have any radius, whereas its tension is always negative and should be
less than $-c^4/4G$. If the tension reaches the maximal value, the geometry
becomes exactly flat, but the topology remains non-trivial and corresponds to
two copies of Minkowski space glued together along the disk encircled by the
ring. The geodesics are straight lines, and those which traverse the ring get
to the other universe. The ring therefore literally produces a hole in space.
Such wormholes could perhaps be created by negative energies concentrated in
toroidal volumes, for example by vacuum fluctuations.
| [
{
"created": "Wed, 15 Jun 2016 17:42:52 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2016 17:48:07 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2016 17:48:57 GMT",
"version": "v3"
}
] | 2016-08-03 | [
[
"Gibbons",
"Gary W.",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We apply duality rotations and complex transformations to the Schwarzschild metric to obtain wormhole geometries with two asymptotically flat regions connected by a throat. In the simplest case these are the well-known wormholes supported by phantom scalar field. Further duality rotations remove the scalar field to yield less well known vacuum metrics of the oblate Zipoy-Voorhees-Weyl class, which describe ring wormholes. The ring encircles the wormhole throat and can have any radius, whereas its tension is always negative and should be less than $-c^4/4G$. If the tension reaches the maximal value, the geometry becomes exactly flat, but the topology remains non-trivial and corresponds to two copies of Minkowski space glued together along the disk encircled by the ring. The geodesics are straight lines, and those which traverse the ring get to the other universe. The ring therefore literally produces a hole in space. Such wormholes could perhaps be created by negative energies concentrated in toroidal volumes, for example by vacuum fluctuations. |
1309.4782 | Ghazal Geshnizjani | Ghazal Geshnizjani and Nahid Ahmadi | Can non-local or higher derivative theories provide alternatives to
inflation? | 27 pages, 3 figures, added some references. corrected few typos,
matches the published version in JCAP | JCAP11(2013)029 | 10.1088/1475-7516/2013/11/029 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The standard mechanism for producing the observed scale-invariant power
spectrum from adiabatic vacuum fluctuations relies on first order derivative of
fields in the action for curvature perturbations. It has been proven
\cite{Geshnizjani:2011dk} that, under this ansatz, any theory of early universe
that matches cosmological observations should include a phase of accelerated
expansion (i.e. inflation) or it has to break at least one of the following
tenets of classical general relativity: Null Energy Conditions (NEC),
subluminal signal propagation, or sub-Planckian energy densities. We extend
this proof to a large class of theories with higher (spatial) derivative or
non-local terms in the action. Interestingly, only theories in the neighborhood
of Lifshitz points with $\omega_k \propto k^0$ and $k^3$ remain viable.
| [
{
"created": "Wed, 18 Sep 2013 20:02:01 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Dec 2013 17:10:27 GMT",
"version": "v2"
}
] | 2013-12-10 | [
[
"Geshnizjani",
"Ghazal",
""
],
[
"Ahmadi",
"Nahid",
""
]
] | The standard mechanism for producing the observed scale-invariant power spectrum from adiabatic vacuum fluctuations relies on first order derivative of fields in the action for curvature perturbations. It has been proven \cite{Geshnizjani:2011dk} that, under this ansatz, any theory of early universe that matches cosmological observations should include a phase of accelerated expansion (i.e. inflation) or it has to break at least one of the following tenets of classical general relativity: Null Energy Conditions (NEC), subluminal signal propagation, or sub-Planckian energy densities. We extend this proof to a large class of theories with higher (spatial) derivative or non-local terms in the action. Interestingly, only theories in the neighborhood of Lifshitz points with $\omega_k \propto k^0$ and $k^3$ remain viable. |
hep-th/0106146 | Nikolaos Mavromatos | Elias Gravanis and Nick E. Mavromatos | Impulse Action on D-particles in Robertson-Walker Space Times,
Higher-Order Logarithmic Conformal Algebras and Cosmological Horizons | 17 pages LATEX, two figures incorporated | null | null | null | hep-th astro-ph gr-qc math-ph math.MP | null | We demonstrate that an impulse action (`recoil') on a D-particle embedded in
a (four-dimensional) cosmological Robertson-Walker (RW) spacetime is described,
in a $\sigma$-model framework, by a suitably extended higher-order logarithmic
world-sheet algebra of relevant deformations. We study in some detail the
algebra of the appropriate two-point correlators, and give a careful discussion
as to how one can approach the world-sheet renormalization group infrared fixed
point, in the neighborhood of which the logarithmic algebra is valid. It is
found that, if the initial RW spacetime does not have cosmological horizons,
then there is no problem in approaching the fixed point. However, in the
presence of horizons, there are world-sheet divergences which imply the need
for Liouville dressing in order to approach the fixed point in the correct way.
A detailed analysis on the subtle subtraction of these divergences in the
latter case is given. In both cases, at the fixed point, the recoil-induced
spacetime is nothing other than a coordinate transformation of the initial
spacetime into the rest frame of the recoiling D-particle. However, in the
horizon case, if one identifies the Liouville mode with the target time, which
expresses physically the back reaction of the recoiling D-particle onto the
spacetime structure, it is found that the induced spacetime distortion results
in the removal of the initial cosmological horizon and the eventual stopping of
the acceleration of the Universe. In this latter sense, our model may be
thought of as a conformal field theory description of a (toy) Universe
characterized by a sort of `phase transition' at the moment of impulse,
implying a time-varying speed of light.
| [
{
"created": "Sat, 16 Jun 2001 19:55:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gravanis",
"Elias",
""
],
[
"Mavromatos",
"Nick E.",
""
]
] | We demonstrate that an impulse action (`recoil') on a D-particle embedded in a (four-dimensional) cosmological Robertson-Walker (RW) spacetime is described, in a $\sigma$-model framework, by a suitably extended higher-order logarithmic world-sheet algebra of relevant deformations. We study in some detail the algebra of the appropriate two-point correlators, and give a careful discussion as to how one can approach the world-sheet renormalization group infrared fixed point, in the neighborhood of which the logarithmic algebra is valid. It is found that, if the initial RW spacetime does not have cosmological horizons, then there is no problem in approaching the fixed point. However, in the presence of horizons, there are world-sheet divergences which imply the need for Liouville dressing in order to approach the fixed point in the correct way. A detailed analysis on the subtle subtraction of these divergences in the latter case is given. In both cases, at the fixed point, the recoil-induced spacetime is nothing other than a coordinate transformation of the initial spacetime into the rest frame of the recoiling D-particle. However, in the horizon case, if one identifies the Liouville mode with the target time, which expresses physically the back reaction of the recoiling D-particle onto the spacetime structure, it is found that the induced spacetime distortion results in the removal of the initial cosmological horizon and the eventual stopping of the acceleration of the Universe. In this latter sense, our model may be thought of as a conformal field theory description of a (toy) Universe characterized by a sort of `phase transition' at the moment of impulse, implying a time-varying speed of light. |
2212.12535 | Stephan Stieberger | Pouria Mazloumi and Stephan Stieberger | Intersections of Twisted Forms: New Theories and Double Copies | 43 pages, LaTeX | null | null | MPP-2022-288 | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Tree-level scattering amplitudes of particles have a geometrical description
in terms of intersection numbers of pairs of twisted differential forms on the
moduli space of Riemann spheres with punctures. We customize a catalog of
twisted differential forms containing both already known and new differential
forms. By pairing elements from this list intersection numbers of various
theories can be furnished to compute their scattering amplitudes. Some of the
latter are familiar through their CHY description, but others are unknown.
Likewise, certain pairings give rise to various known and novel double-copy
constructions of spin-two theories. This way we find double copy constructions
for many theories, including higher derivative gravity, (partial massless)
bimetric gravity and some more exotic theories. Furthermore, we present a
derivation of amplitude relations in intersection theory.
| [
{
"created": "Fri, 23 Dec 2022 18:53:19 GMT",
"version": "v1"
}
] | 2022-12-26 | [
[
"Mazloumi",
"Pouria",
""
],
[
"Stieberger",
"Stephan",
""
]
] | Tree-level scattering amplitudes of particles have a geometrical description in terms of intersection numbers of pairs of twisted differential forms on the moduli space of Riemann spheres with punctures. We customize a catalog of twisted differential forms containing both already known and new differential forms. By pairing elements from this list intersection numbers of various theories can be furnished to compute their scattering amplitudes. Some of the latter are familiar through their CHY description, but others are unknown. Likewise, certain pairings give rise to various known and novel double-copy constructions of spin-two theories. This way we find double copy constructions for many theories, including higher derivative gravity, (partial massless) bimetric gravity and some more exotic theories. Furthermore, we present a derivation of amplitude relations in intersection theory. |
1904.04848 | Fernando Marchesano | Fernando Marchesano and Max Wiesner | Instantons and infinite distances | 49 pages, improved discussion on the dual D-particle picture, typos
corrected and references added | null | 10.1007/JHEP08(2019)088 | IFT-UAM/CSIC-19-049 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider geodesics of infinite length and constant 4d dilaton in the
(classical) hypermultiplet moduli space of type II Calabi-Yau
compactifications. When approaching such infinite distance points, a large
amount of D-instantons develop an exponentially suppressed action,
substantially modifying the moduli space metric. We consider a particular large
volume/strong coupling trajectory for which, in the corrected metric, the path
length becomes finite. The instanton effects also modify the cllassical 4d
dilaton such that, in order to keep the 4d Planck mass finite, the string scale
has to be lowered. Our results can be related, via the c-map, to the physics
around points of infinite distance in the vector multiplet moduli space where
the Swampland Distance Conjecture and the Emergence Proposal have been
discussed, and provide further evidence for them.
| [
{
"created": "Tue, 9 Apr 2019 18:01:05 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2019 20:18:27 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jul 2019 10:36:53 GMT",
"version": "v3"
}
] | 2019-09-04 | [
[
"Marchesano",
"Fernando",
""
],
[
"Wiesner",
"Max",
""
]
] | We consider geodesics of infinite length and constant 4d dilaton in the (classical) hypermultiplet moduli space of type II Calabi-Yau compactifications. When approaching such infinite distance points, a large amount of D-instantons develop an exponentially suppressed action, substantially modifying the moduli space metric. We consider a particular large volume/strong coupling trajectory for which, in the corrected metric, the path length becomes finite. The instanton effects also modify the cllassical 4d dilaton such that, in order to keep the 4d Planck mass finite, the string scale has to be lowered. Our results can be related, via the c-map, to the physics around points of infinite distance in the vector multiplet moduli space where the Swampland Distance Conjecture and the Emergence Proposal have been discussed, and provide further evidence for them. |
hep-th/0411102 | Alvaro Nunez | Alvaro Nunez and Slava Solganik | Ghost Constraints on Modified Gravity | 7 pages; v2: typos corrected | Phys.Lett. B608 (2005) 189-193 | 10.1016/j.physletb.2005.01.015 | null | hep-th astro-ph gr-qc hep-ph | null | We show that general infrared modifications of the Einstein-Hilbert action
obtained by addition of curvature invariants are not viable. These
modifications contain either ghosts or light gravity scalars. A very specific
fine-tuning might solve the problem of ghosts, but the resulting theory is
still equivalent to a scalar-tensor gravity and thus gives a corrupted picture
of gravity at the solar system scale. The only known loophole is that the
theory becomes higher dimensional at large distances. The infinite number of
degrees of freedom introduced in this way is not reducible to the addition of
an arbitrary function of curvature invariants.
| [
{
"created": "Tue, 9 Nov 2004 23:55:34 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2004 20:49:05 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Nunez",
"Alvaro",
""
],
[
"Solganik",
"Slava",
""
]
] | We show that general infrared modifications of the Einstein-Hilbert action obtained by addition of curvature invariants are not viable. These modifications contain either ghosts or light gravity scalars. A very specific fine-tuning might solve the problem of ghosts, but the resulting theory is still equivalent to a scalar-tensor gravity and thus gives a corrupted picture of gravity at the solar system scale. The only known loophole is that the theory becomes higher dimensional at large distances. The infinite number of degrees of freedom introduced in this way is not reducible to the addition of an arbitrary function of curvature invariants. |
2006.15359 | Nikhil Kalyanapuram | Nikhil Kalyanapuram, Raghav G. Jha | Positive Geometries for all Scalar Theories from Twisted Intersection
Theory | v2: Corrected typos and added references - published version | Phys. Rev. Research 2, 033119 (2020) | 10.1103/PhysRevResearch.2.033119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that accordiohedra furnish polytopes which encode amplitudes for all
massive scalar field theories with generic interactions. This is done by
deriving integral formulae for the Feynman diagrams at tree level and
integrands at one loop level in the planar limit using the twisted intersection
theory of convex realizations of the accordiohedron polytopes.
| [
{
"created": "Sat, 27 Jun 2020 12:59:57 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jul 2020 17:33:35 GMT",
"version": "v2"
}
] | 2020-07-23 | [
[
"Kalyanapuram",
"Nikhil",
""
],
[
"Jha",
"Raghav G.",
""
]
] | We show that accordiohedra furnish polytopes which encode amplitudes for all massive scalar field theories with generic interactions. This is done by deriving integral formulae for the Feynman diagrams at tree level and integrands at one loop level in the planar limit using the twisted intersection theory of convex realizations of the accordiohedron polytopes. |
1612.09135 | Iva Lovrekovic | I. Lovrekovic | Asymptotic symmetry algebras of conformal gravity in four dimensions | 10 pages. Talk held at the Corfu Summer Institute 2016, School and
Workshops on Elementary Particle Physics and Gravity, 31 August - 23
September, 2016, Corfu, Greece | PoS(CORFU2016)085 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider conformal gravity boundary conditions and outline the highest
dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The
highest among them is five dimensional and leads to a global geon solution.
| [
{
"created": "Thu, 29 Dec 2016 13:26:04 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Sep 2017 18:02:12 GMT",
"version": "v2"
}
] | 2017-09-26 | [
[
"Lovrekovic",
"I.",
""
]
] | We consider conformal gravity boundary conditions and outline the highest dimensional non-trivial asymptotic symmetry algebras of conformal gravity. The highest among them is five dimensional and leads to a global geon solution. |
hep-th/9902093 | null | Won Tae Kim, John J. Oh, and Jung Hee Park | Absorption cross section and Hawking radiation in two-dimensional AdS
black hole | 6 pages, revtex, no figures | Phys.Rev. D60 (1999) 047501 | 10.1103/PhysRevD.60.047501 | SOGANG-HEP 255/99 | hep-th | null | We calculate the absorption coefficient of scalar field on the background of
the two-dimensional AdS black hole, which is of relevance to Hawking radiation.
For the massless scalar field, we find that there does not exist any massless
radiation.
| [
{
"created": "Fri, 12 Feb 1999 05:15:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Kim",
"Won Tae",
""
],
[
"Oh",
"John J.",
""
],
[
"Park",
"Jung Hee",
""
]
] | We calculate the absorption coefficient of scalar field on the background of the two-dimensional AdS black hole, which is of relevance to Hawking radiation. For the massless scalar field, we find that there does not exist any massless radiation. |
0802.4169 | Marc Lilley | Thibault Damour and Marc Lilley | String theory, gravity and experiment | 75 pages, 8 figures; based on lectures given by T. Damour at Les
Houches Summer School in Theoretical Physics: Session 87: String Theory and
the Real World: From Particle Physics to Astrophysics, Les Houches, France,
2-27 July 2007 | null | null | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of these lectures is to give an introduction to several topics which
lie at the intersection of string theory, gravity theory and gravity
phenomenology. One successively reviews: (i) the "membrane" approach to the
dissipative dynamics of classical black holes, (ii) the current experimental
tests of gravity, and their theoretical interpretation, (iii) some aspects of
the string-inspired phenomenology of the gravitational sector, and (iv) some
possibilities for observing string-related signals in cosmology (including a
discussion of gravitational wave signals from cosmic superstrings).
| [
{
"created": "Thu, 28 Feb 2008 11:19:51 GMT",
"version": "v1"
}
] | 2008-02-29 | [
[
"Damour",
"Thibault",
""
],
[
"Lilley",
"Marc",
""
]
] | The aim of these lectures is to give an introduction to several topics which lie at the intersection of string theory, gravity theory and gravity phenomenology. One successively reviews: (i) the "membrane" approach to the dissipative dynamics of classical black holes, (ii) the current experimental tests of gravity, and their theoretical interpretation, (iii) some aspects of the string-inspired phenomenology of the gravitational sector, and (iv) some possibilities for observing string-related signals in cosmology (including a discussion of gravitational wave signals from cosmic superstrings). |
hep-th/0101189 | Paolo Valtancoli | P. Valtancoli | Projectors for the fuzzy sphere | 9 pages, LaTeX, no figures | Mod.Phys.Lett. A16 (2001) 639-646 | 10.1142/S0217732301003851 | null | hep-th | null | All fiber bundle with a given set of characteristic classes are viewable as
particular projections of a more general bundle called a universal classifying
space. This notion of projector valued field, a global definition of
connections and gauge fields, can be useful to define vector bundles for non
commutative base spaces. In this paper we derive the projector valued field for
the fuzzy sphere, defining non-commutative n-monopole configurations, and check
that in the classical limit, using the machinery of non-commutative geometry,
the corresponding topological charges (Chern class) are integers.
| [
{
"created": "Sat, 27 Jan 2001 13:32:40 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Valtancoli",
"P.",
""
]
] | All fiber bundle with a given set of characteristic classes are viewable as particular projections of a more general bundle called a universal classifying space. This notion of projector valued field, a global definition of connections and gauge fields, can be useful to define vector bundles for non commutative base spaces. In this paper we derive the projector valued field for the fuzzy sphere, defining non-commutative n-monopole configurations, and check that in the classical limit, using the machinery of non-commutative geometry, the corresponding topological charges (Chern class) are integers. |
1404.1758 | Karthik Inbasekar | Karthik Inbasekar, Rickmoy Samanta | Stable Bianchi III attractor in $U(1)_R$ gauged supergravity | 29 pages, V2 added clarifications, V3 typos corrected, minor changes | JHEP 1408 (2014) 055 | 10.1007/JHEP08(2014)055 | TIFR/TH/14-09 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bianchi attractors are homogeneous but anisotropic extremal black brane
horizons. We study the $AdS_3 \times \mathbb{H}^2$ solution which is a special
case of Bianchi type III in a $U(1)_R$ gauged supergravity. For a wide range of
values for certain free parameters in gauged supergravity, there exist a large
class of solutions that satisfy conditions for the attractor mechanism to hold.
We investigate the response of the solution against linearized fluctuations of
the scalar field. The sufficient conditions for the attractor mechanism ensure
that there exist a solution for the scalar fluctuation which dies out at the
horizon. Furthermore, we solve for the gauge field and metric fluctuations that
are sourced by scalar fluctuations and show that they are well behaved near the
horizon. Thus, we have an example of a stable Bianchi attractor in gauged
supergravity. We also analyze the Killing spinor equations of gauged
supergravity in the background of our solution. We find that a radial Killing
spinor consistent with the Bianchi III symmetry breaks supersymmetry.
| [
{
"created": "Mon, 7 Apr 2014 12:06:20 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2014 13:37:43 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Jul 2014 14:27:30 GMT",
"version": "v3"
}
] | 2014-08-15 | [
[
"Inbasekar",
"Karthik",
""
],
[
"Samanta",
"Rickmoy",
""
]
] | Bianchi attractors are homogeneous but anisotropic extremal black brane horizons. We study the $AdS_3 \times \mathbb{H}^2$ solution which is a special case of Bianchi type III in a $U(1)_R$ gauged supergravity. For a wide range of values for certain free parameters in gauged supergravity, there exist a large class of solutions that satisfy conditions for the attractor mechanism to hold. We investigate the response of the solution against linearized fluctuations of the scalar field. The sufficient conditions for the attractor mechanism ensure that there exist a solution for the scalar fluctuation which dies out at the horizon. Furthermore, we solve for the gauge field and metric fluctuations that are sourced by scalar fluctuations and show that they are well behaved near the horizon. Thus, we have an example of a stable Bianchi attractor in gauged supergravity. We also analyze the Killing spinor equations of gauged supergravity in the background of our solution. We find that a radial Killing spinor consistent with the Bianchi III symmetry breaks supersymmetry. |
2009.00753 | Ji-Feng Yang | Zhou Liu, Li-Hong Wen, J.-F. Yang | Covariant propagator and chiral power counting | 9 pages, 11 figures, final version, accepted for publication in
Nuclear Physics B | Nuclear Physics B 963 (2021) 115288 | 10.1016/j.nuclphysb.2020.115288 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some one-loop diagrams with one and two external baryons/nucleons are
revisited using covariant baryon propagators in chiral effective theory. We
showed that it is enough to separate and subtract all the local terms that
violate chiral power counting to recover chiral power counting, no need to
introduce extra operations. The structures of leading chiral corrections and IR
enhancement or threshold effects are 'stable' or persist as long as covariant
propagators are employed for all particles.
| [
{
"created": "Wed, 2 Sep 2020 00:02:00 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Oct 2020 02:23:54 GMT",
"version": "v2"
},
{
"created": "Thu, 24 Dec 2020 02:22:50 GMT",
"version": "v3"
}
] | 2021-01-01 | [
[
"Liu",
"Zhou",
""
],
[
"Wen",
"Li-Hong",
""
],
[
"Yang",
"J. -F.",
""
]
] | Some one-loop diagrams with one and two external baryons/nucleons are revisited using covariant baryon propagators in chiral effective theory. We showed that it is enough to separate and subtract all the local terms that violate chiral power counting to recover chiral power counting, no need to introduce extra operations. The structures of leading chiral corrections and IR enhancement or threshold effects are 'stable' or persist as long as covariant propagators are employed for all particles. |
hep-th/9611074 | Peter West | P.S. Howe, P.C. West | Is N=4 Yang-Mills Theory Soluble? | 6p, latex | null | null | KCL-TH-96-18 | hep-th | null | The superconformal properties of N=4 Yang-Mills theory are most naturally
studied using the formalism of harmonic superspace. Superconformal invariance
is shown to imply that the Green's functions of analytic operators are
invariant holomorphic sections of a line bundle on a product of certain
harmonic superspaces and it is argued that the theory is soluble for a class of
such operators.
| [
{
"created": "Mon, 11 Nov 1996 11:56:03 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Howe",
"P. S.",
""
],
[
"West",
"P. C.",
""
]
] | The superconformal properties of N=4 Yang-Mills theory are most naturally studied using the formalism of harmonic superspace. Superconformal invariance is shown to imply that the Green's functions of analytic operators are invariant holomorphic sections of a line bundle on a product of certain harmonic superspaces and it is argued that the theory is soluble for a class of such operators. |
hep-th/9303062 | null | Parentani Renaud | The Energy-Momentum Tensor in Fulling-Rindler Vacuum | 9 pages, ULB-TH-15/92 | Class.Quant.Grav.10:1409-1416,1993 | 10.1088/0264-9381/10/7/016 | null | hep-th | null | The energy density in Fulling-Rindler vacuum, which is known to be negative
"everywhere" is shown to be positive and singular on the horizons in such a
fashion as to guarantee the positivity of the total energy. The mechanism of
compensation is displayed in detail.
| [
{
"created": "Wed, 10 Mar 1993 12:14:00 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Renaud",
"Parentani",
""
]
] | The energy density in Fulling-Rindler vacuum, which is known to be negative "everywhere" is shown to be positive and singular on the horizons in such a fashion as to guarantee the positivity of the total energy. The mechanism of compensation is displayed in detail. |
hep-th/9604099 | Alexander Kalloniatis | Harald W. Griesshammer and Alex C. Kalloniatis (Institute for
Theoretical Physics III, University Erlangen - N\"urnberg, Germany) | Field Configurations and the SU(2) Haar Measure in QCD | 7 pages, LaTeX. No macros or figures. Submitted to Phsics Letters B | null | null | FAU-TP3-96/4 | hep-th | null | We characterise a class of SU(2) gluonic field configurations in the modified
axial gauge where a zero mode component vanishes at some space point but the
global Haar measure remains non-zero. The consequence of this is that gluonic
wavefunctionals need not vanish at the boundary of the fundamental modular
domain, which itself permits $\theta$ dependence in QCD(3+1).
| [
{
"created": "Wed, 17 Apr 1996 15:37:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Griesshammer",
"Harald W.",
"",
"Institute for\n Theoretical Physics III, University Erlangen - Nürnberg, Germany"
],
[
"Kalloniatis",
"Alex C.",
"",
"Institute for\n Theoretical Physics III, University Erlangen - Nürnberg, Germany"
]
] | We characterise a class of SU(2) gluonic field configurations in the modified axial gauge where a zero mode component vanishes at some space point but the global Haar measure remains non-zero. The consequence of this is that gluonic wavefunctionals need not vanish at the boundary of the fundamental modular domain, which itself permits $\theta$ dependence in QCD(3+1). |
1207.4549 | Hui Luo | Yi-Jian Du, Hui Luo | On General BCJ Relation at One-loop Level in Yang-Mills Theory | 18 pages, 6 figures | null | 10.1007/JHEP01(2013)129 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | BCJ relation reveals a dual between color structures and kinematic structure
and can be used to reduce the number of independent color-ordered amplitudes at
tree level. Refer to the loop-level in Yang-Mills theory, we investigate the
similar BCJ relation in this paper. Four-point 1-loop example in N = 4 SYM can
hint about the relation of integrands. Five-point example implies that the
general formula can be proven by unitary- cut method. We will then prove a
'general' BCJ relation for 1-loop integrands by D-dimension unitary cut, which
can be regarded as a non-trivial generalization of the (fundamental)BCJ
relation given by Boels and Isermann in [arXiv:1109.5888 [hep-th]] and
[arXiv:1110.4462 [hep-th]].
| [
{
"created": "Thu, 19 Jul 2012 04:52:37 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Aug 2012 11:37:45 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Du",
"Yi-Jian",
""
],
[
"Luo",
"Hui",
""
]
] | BCJ relation reveals a dual between color structures and kinematic structure and can be used to reduce the number of independent color-ordered amplitudes at tree level. Refer to the loop-level in Yang-Mills theory, we investigate the similar BCJ relation in this paper. Four-point 1-loop example in N = 4 SYM can hint about the relation of integrands. Five-point example implies that the general formula can be proven by unitary- cut method. We will then prove a 'general' BCJ relation for 1-loop integrands by D-dimension unitary cut, which can be regarded as a non-trivial generalization of the (fundamental)BCJ relation given by Boels and Isermann in [arXiv:1109.5888 [hep-th]] and [arXiv:1110.4462 [hep-th]]. |
hep-th/0110231 | Raimar Wulkenhaar | J.M. Grimstrup, H. Grosse, E. Kraus, L. Popp, M. Schweda, R.
Wulkenhaar | Noncommutative spin-1/2 representations | 7 pages, LaTeX | Eur.Phys.J.C24:485-489,2002; Eur.Phys.J.C24:491-494,2002 | 10.1007/s10052-002-0938-6 | TUW 01-025, UWThPh-2001-40 | hep-th | null | In this letter we apply the methods of our previous paper hep-th/0108045 to
noncommutative fermions. We show that the fermions form a spin-1/2
representation of the Lorentz algebra. The covariant splitting of the conformal
transformations into a field-dependent part and a \theta-part implies the
Seiberg-Witten differential equations for the fermions.
| [
{
"created": "Thu, 25 Oct 2001 14:59:09 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Grimstrup",
"J. M.",
""
],
[
"Grosse",
"H.",
""
],
[
"Kraus",
"E.",
""
],
[
"Popp",
"L.",
""
],
[
"Schweda",
"M.",
""
],
[
"Wulkenhaar",
"R.",
""
]
] | In this letter we apply the methods of our previous paper hep-th/0108045 to noncommutative fermions. We show that the fermions form a spin-1/2 representation of the Lorentz algebra. The covariant splitting of the conformal transformations into a field-dependent part and a \theta-part implies the Seiberg-Witten differential equations for the fermions. |
1312.3351 | Da-Wei Pang | Shan Bai, Da-Wei Pang | Holographic charge transport in 2+1 dimensions at finite $N$ | 31 pages, 5 figures, minor corrections, accepted by IJMPA | Int. J. Mod. Phys. A 29, 1450061 (2014) | 10.1142/S0217751X14500614 | MPP-2013-296 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic charge transport in (2+1) dimensions at finite $N$,
whose dual gravity background is given by perturbative black hole solution in
Einstein theory plus cubic terms of Weyl tensor. We consider the higher
derivative corrections to the standard Maxwell action, given by the interacting
terms between the Weyl tensor and the field strength. We calculate the DC
conductivity by using both the membrane paradigm and the Kubo's formula and
find precise agreement. We compute the AC conductivity and find an analog of
the crossover from `metal' to `bad metal' in the low frequency limit. Moreover,
the conductivity becomes a constant in the large frequency limit. We derive two
universal relations for the Green's functions and observe that they are exactly
the same as the infinite $N$ counterparts.
| [
{
"created": "Wed, 11 Dec 2013 21:24:02 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2014 14:41:51 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Apr 2014 16:28:09 GMT",
"version": "v3"
}
] | 2014-04-29 | [
[
"Bai",
"Shan",
""
],
[
"Pang",
"Da-Wei",
""
]
] | We study holographic charge transport in (2+1) dimensions at finite $N$, whose dual gravity background is given by perturbative black hole solution in Einstein theory plus cubic terms of Weyl tensor. We consider the higher derivative corrections to the standard Maxwell action, given by the interacting terms between the Weyl tensor and the field strength. We calculate the DC conductivity by using both the membrane paradigm and the Kubo's formula and find precise agreement. We compute the AC conductivity and find an analog of the crossover from `metal' to `bad metal' in the low frequency limit. Moreover, the conductivity becomes a constant in the large frequency limit. We derive two universal relations for the Green's functions and observe that they are exactly the same as the infinite $N$ counterparts. |
2112.09776 | Jordan Cohen | Jordan D. Cohen | New Infinities of Soft Charges | 30 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent results on the infrared structure of gravity and electromagnetism have
suggested that the deep infrared is much richer than previously appreciated.
This article presents a generalisation of these findings within the context of
abelian and nonabelian soft (i.e. zero-energy) gauge charges. As a warm up, we
describe the emergence of an infinity of soft magnetic charges even in the
absence of magnetic monopoles. We show that two infinite sets of soft charges
arise in the nonabelian theory as well. In light of the concomitant
conservation laws associated with the soft charges, we revisit the black hole
information paradox and the no-hair theorems, and argue that a generic black
hole carries an infinite amount of gravitational, electromagnetic and
chromodynamic soft hair.
| [
{
"created": "Fri, 17 Dec 2021 21:42:46 GMT",
"version": "v1"
}
] | 2021-12-21 | [
[
"Cohen",
"Jordan D.",
""
]
] | Recent results on the infrared structure of gravity and electromagnetism have suggested that the deep infrared is much richer than previously appreciated. This article presents a generalisation of these findings within the context of abelian and nonabelian soft (i.e. zero-energy) gauge charges. As a warm up, we describe the emergence of an infinity of soft magnetic charges even in the absence of magnetic monopoles. We show that two infinite sets of soft charges arise in the nonabelian theory as well. In light of the concomitant conservation laws associated with the soft charges, we revisit the black hole information paradox and the no-hair theorems, and argue that a generic black hole carries an infinite amount of gravitational, electromagnetic and chromodynamic soft hair. |
1411.0618 | Dmitri Kharzeev | Koji Hashimoto and Dmitri E. Kharzeev | Entropic destruction of heavy quarkonium in non-Abelian plasma from
holography | 11 pages, 4 figures | Phys. Rev. D 90, 125012 (2014) | 10.1103/PhysRevD.90.125012 | OU-HET-837, RIKEN-MP-95 | hep-th hep-lat hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lattice QCD indicates a large amount of entropy associated with the heavy
quark-antiquark pair immersed in the quark-gluon plasma. This entropy grows as
a function of the inter-quark distance giving rise to an entropic force that
can be very effective in dissociating the bound quarkonium states. In addition,
the lattice data show a very sharp peak in the heavy quark-antiquark entropy at
the deconfinement transition. Since the quark-gluon plasma around the
deconfinement transition is strongly coupled, we employ the holographic
correspondence to study the entropy associated with the heavy quark-antiquark
pair in two theories: i) ${\cal{N}}=4$ supersymmetric Yang-Mills and ii) a
confining Yang-Mills theory obtained by compactification on a Kaluza-Klein
circle. In both cases we find the entropy growing with the inter-quark distance
and evaluate the effect of the corresponding entropic forces. In the case ii),
we find a sharp peak in the entropy near the deconfinement transition, in
agreement with the lattice QCD results. This peak in our holographic
description arises because the heavy quark pair acts as an eyewitness of the
black hole formation in the bulk -- the process that describes the
deconfinement transition. In terms of the boundary theory, this entropy likely
emerges from the entanglement of a "long string" connecting the quark and
antiquark with the rest of the system.
| [
{
"created": "Mon, 3 Nov 2014 19:25:34 GMT",
"version": "v1"
}
] | 2014-12-24 | [
[
"Hashimoto",
"Koji",
""
],
[
"Kharzeev",
"Dmitri E.",
""
]
] | Lattice QCD indicates a large amount of entropy associated with the heavy quark-antiquark pair immersed in the quark-gluon plasma. This entropy grows as a function of the inter-quark distance giving rise to an entropic force that can be very effective in dissociating the bound quarkonium states. In addition, the lattice data show a very sharp peak in the heavy quark-antiquark entropy at the deconfinement transition. Since the quark-gluon plasma around the deconfinement transition is strongly coupled, we employ the holographic correspondence to study the entropy associated with the heavy quark-antiquark pair in two theories: i) ${\cal{N}}=4$ supersymmetric Yang-Mills and ii) a confining Yang-Mills theory obtained by compactification on a Kaluza-Klein circle. In both cases we find the entropy growing with the inter-quark distance and evaluate the effect of the corresponding entropic forces. In the case ii), we find a sharp peak in the entropy near the deconfinement transition, in agreement with the lattice QCD results. This peak in our holographic description arises because the heavy quark pair acts as an eyewitness of the black hole formation in the bulk -- the process that describes the deconfinement transition. In terms of the boundary theory, this entropy likely emerges from the entanglement of a "long string" connecting the quark and antiquark with the rest of the system. |
hep-th/9506106 | Klaus Behrndt | K. Behrndt | About a class of exact string backgrounds | 28 pages, latex (correction about the internal space and add
references) | Nucl.Phys. B455 (1995) 188-210 | 10.1016/0550-3213(95)00506-N | HUB-EP-95/6 | hep-th gr-qc | null | This model also known as chiral null model is a generalization of the
gravitational wave and fundamental string background and is exact in the $\a'$
expansion. The reduction to 4 dimensions yields a stationary IWP solution which
couples to 7 gauge fields (one gravi-photon and 6 matter gauge fields) and 4
scalars. Special cases are the Taub-NUT geometry and rotating black holes.
These solutions possess a T-self-dual point where the black hole becomes
massless. Discussing the S-duality we show that the Taub-NUT geometry allows an
S-self-dual point and that the electric black hole corresponds to a magnetic
black hole or an H-monopole. We could identify the massless black hole as
$N_L=0$ and confirm the H-monopole as an $N_L=1$ string states.
| [
{
"created": "Fri, 16 Jun 1995 14:31:55 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 1995 15:35:37 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Behrndt",
"K.",
""
]
] | This model also known as chiral null model is a generalization of the gravitational wave and fundamental string background and is exact in the $\a'$ expansion. The reduction to 4 dimensions yields a stationary IWP solution which couples to 7 gauge fields (one gravi-photon and 6 matter gauge fields) and 4 scalars. Special cases are the Taub-NUT geometry and rotating black holes. These solutions possess a T-self-dual point where the black hole becomes massless. Discussing the S-duality we show that the Taub-NUT geometry allows an S-self-dual point and that the electric black hole corresponds to a magnetic black hole or an H-monopole. We could identify the massless black hole as $N_L=0$ and confirm the H-monopole as an $N_L=1$ string states. |
1108.5240 | Matt Visser | Matt Visser (Victoria University of Wellington) | Conservative entropic forces | V1: 21 pages; no figures. V2: now 24 pages. Two new sections (reduced
mass formulation, decoherence). Many small clarifying comments added
throughout the text. Several references added. V3: Three more references
added. V4: now 25 pages. Some extra discussion on the relation between
Verlinde's scenario and the Jacobson and Padmanabhan scenarios. This version
accepted for publication in JHEP | JHEP 1110 (2011) 140 | 10.1007/JHEP10(2011)140 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entropic forces have recently attracted considerable attention as ways to
reformulate, retrodict, and perhaps even "explain'" classical Newtonian gravity
from a rather specific thermodynamic perspective. In this article I point out
that if one wishes to reformulate classical Newtonian gravity in terms of an
entropic force, then the fact that Newtonian gravity is described by a
conservative force places significant constraints on the form of the entropy
and temperature functions. (These constraints also apply to entropic
reinterpretations of electromagnetism, and indeed to any conservative force
derivable from a potential.)
The constraints I will establish are sufficient to present real and
significant problems for any reasonable variant of Verlinde's entropic gravity
proposal, though for technical reasons the constraints established herein do
not directly impact on either Jacobson's or Padmanabhan's versions of entropic
gravity. In an attempt to resolve these issues, I will extend the usual notion
of entropic force to multiple heat baths with multiple "temperatures'" and
multiple "entropies".
| [
{
"created": "Fri, 26 Aug 2011 05:12:35 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Sep 2011 09:07:05 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Sep 2011 14:24:00 GMT",
"version": "v3"
},
{
"created": "Thu, 20 Oct 2011 22:30:27 GMT",
"version": "v4"
}
] | 2017-11-29 | [
[
"Visser",
"Matt",
"",
"Victoria University of Wellington"
]
] | Entropic forces have recently attracted considerable attention as ways to reformulate, retrodict, and perhaps even "explain'" classical Newtonian gravity from a rather specific thermodynamic perspective. In this article I point out that if one wishes to reformulate classical Newtonian gravity in terms of an entropic force, then the fact that Newtonian gravity is described by a conservative force places significant constraints on the form of the entropy and temperature functions. (These constraints also apply to entropic reinterpretations of electromagnetism, and indeed to any conservative force derivable from a potential.) The constraints I will establish are sufficient to present real and significant problems for any reasonable variant of Verlinde's entropic gravity proposal, though for technical reasons the constraints established herein do not directly impact on either Jacobson's or Padmanabhan's versions of entropic gravity. In an attempt to resolve these issues, I will extend the usual notion of entropic force to multiple heat baths with multiple "temperatures'" and multiple "entropies". |
1302.7047 | Carl Bender | Carl M. Bender and Mariagiovanna Gianfreda | Nonuniqueness of the C operator in PT-symmetric quantum mechanics | 16 pages, 5 figures | null | 10.1088/1751-8113/46/27/275306 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The C operator in PT-symmetric quantum mechanics satisfies a system of three
simultaneous algebraic operator equations, $C^2=1$, $[C,PT]=0$, and $[C,H]=0$.
These equations are difficult to solve exactly, so perturbative methods have
been used in the past to calculate C. The usual approach has been to express
the Hamiltonian as $H=H_0+\epsilon H_1$, and to seek a solution for C in the
form $C=e^Q P$, where $Q=Q(q,p)$ is odd in the momentum p, even in the
coordinate q, and has a perturbation expansion of the form $Q=\epsilon
Q_1+\epsilon^3 Q_3+\epsilon^5 Q_5+\ldots$. [In previous work it has always been
assumed that the coefficients of even powers of $\epsilon$ in this expansion
would be absent because their presence would violate the condition that
$Q(p,q)$ is odd in p.] In an earlier paper it was argued that the C operator is
not unique because the perturbation coefficient $Q_1$ is nonunique. Here, the
nonuniqueness of C is demonstrated at a more fundamental level: It is shown
that the perturbation expansion for Q actually has the more general form
$Q=Q_0+\epsilon Q_1+\epsilon^2 Q_2+\ldots$ in which {\it all} powers and not
just odd powers of $\epsilon$ appear. For the case in which $H_0$ is the
harmonic-oscillator Hamiltonian, $Q_0$ is calculated exactly and in closed form
and it is shown explicitly to be nonunique. The results are verified by using
powerful summation procedures based on analytic continuation. It is also shown
how to calculate the higher coefficients in the perturbation series for Q.
| [
{
"created": "Thu, 28 Feb 2013 00:53:02 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Bender",
"Carl M.",
""
],
[
"Gianfreda",
"Mariagiovanna",
""
]
] | The C operator in PT-symmetric quantum mechanics satisfies a system of three simultaneous algebraic operator equations, $C^2=1$, $[C,PT]=0$, and $[C,H]=0$. These equations are difficult to solve exactly, so perturbative methods have been used in the past to calculate C. The usual approach has been to express the Hamiltonian as $H=H_0+\epsilon H_1$, and to seek a solution for C in the form $C=e^Q P$, where $Q=Q(q,p)$ is odd in the momentum p, even in the coordinate q, and has a perturbation expansion of the form $Q=\epsilon Q_1+\epsilon^3 Q_3+\epsilon^5 Q_5+\ldots$. [In previous work it has always been assumed that the coefficients of even powers of $\epsilon$ in this expansion would be absent because their presence would violate the condition that $Q(p,q)$ is odd in p.] In an earlier paper it was argued that the C operator is not unique because the perturbation coefficient $Q_1$ is nonunique. Here, the nonuniqueness of C is demonstrated at a more fundamental level: It is shown that the perturbation expansion for Q actually has the more general form $Q=Q_0+\epsilon Q_1+\epsilon^2 Q_2+\ldots$ in which {\it all} powers and not just odd powers of $\epsilon$ appear. For the case in which $H_0$ is the harmonic-oscillator Hamiltonian, $Q_0$ is calculated exactly and in closed form and it is shown explicitly to be nonunique. The results are verified by using powerful summation procedures based on analytic continuation. It is also shown how to calculate the higher coefficients in the perturbation series for Q. |
hep-th/9802100 | Jacek Wosiek | R. A. Janik and J. Wosiek (Jagellonian University) | Solution of the Odderon Problem | 11 pages, 2 Postscript figures | Phys.Rev.Lett. 82 (1999) 1092-1095 | 10.1103/PhysRevLett.82.1092 | TPJU-2/98 | hep-th | null | The intercept of the odderon trajectory is derived, by finding the spectrum
of the second integral of motion of the three reggeon system in high energy
QCD. When combined with earlier solution of the appropriate Baxter equation,
this leads to the determination of the low lying states of that system. In
particular, the energy of the lowest state gives the intercept of the odderon
alpha_O(0)=1-0.2472 alpha_s N_c/pi.
| [
{
"created": "Fri, 13 Feb 1998 17:04:17 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Janik",
"R. A.",
"",
"Jagellonian University"
],
[
"Wosiek",
"J.",
"",
"Jagellonian University"
]
] | The intercept of the odderon trajectory is derived, by finding the spectrum of the second integral of motion of the three reggeon system in high energy QCD. When combined with earlier solution of the appropriate Baxter equation, this leads to the determination of the low lying states of that system. In particular, the energy of the lowest state gives the intercept of the odderon alpha_O(0)=1-0.2472 alpha_s N_c/pi. |
2304.08603 | Ignacio Salazar | Nicol\'as Grandi, Vladimir Juri\v{c}i\'c, Ignacio Salazar Landea,
Rodrigo Soto-Garrido | Probing holographic flat bands at finite density | v2: 11 pages, 4 figures | J. High Energ. Phys. 2024, 30 (2024) | 10.1007/JHEP01(2024)030 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Flat band electronic systems exhibit a rich landscape of correlation-driven
phases. Motivated by these developments, in this paper, we explicitly include
the effects of the chemical potential in a holographic model featuring
approximately flat bands. In particular, we explore the phase diagram of this
holographic flat band system as a function of the chemical potential. We find
that at low temperatures and densities, the system features a nematic phase,
transitioning into the Lifshitz phase as the chemical potential or temperature
increases. To further characterize the ensuing phases, we investigate the
optical conductivity and find that this observable shows strong anisotropies in
the nematic phase.
| [
{
"created": "Mon, 17 Apr 2023 20:43:27 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Feb 2024 20:40:08 GMT",
"version": "v2"
}
] | 2024-06-17 | [
[
"Grandi",
"Nicolás",
""
],
[
"Juričić",
"Vladimir",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Soto-Garrido",
"Rodrigo",
""
]
] | Flat band electronic systems exhibit a rich landscape of correlation-driven phases. Motivated by these developments, in this paper, we explicitly include the effects of the chemical potential in a holographic model featuring approximately flat bands. In particular, we explore the phase diagram of this holographic flat band system as a function of the chemical potential. We find that at low temperatures and densities, the system features a nematic phase, transitioning into the Lifshitz phase as the chemical potential or temperature increases. To further characterize the ensuing phases, we investigate the optical conductivity and find that this observable shows strong anisotropies in the nematic phase. |
2105.09682 | Arjun Bagchi | Arjun Bagchi, Mangesh Mandlik, Punit Sharma | Tensionless Tales: Vacua and Critical Dimensions | 21 pages (+ 30 pages in appendices) | null | 10.1007/JHEP08(2021)054 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Recently, a careful canonical quantisation of the theory of closed bosonic
tensionless strings has resulted in the discovery of three separate vacua and
hence three different quantum theories that emerge from this single classical
tensionless theory. In this note, we perform lightcone quantisation with the
aim of determination of the critical dimension of these three inequivalent
quantum theories. The satisfying conclusion of a rather long and tedious
calculation is that one of vacua does not lead to any constraint on the number
of dimensions, while the other two give $D=26$. This implies that all three
quantum tensionless theories can be thought of as consistent sub-sectors of
quantum tensile bosonic closed string theory.
| [
{
"created": "Thu, 20 May 2021 11:49:39 GMT",
"version": "v1"
}
] | 2021-09-01 | [
[
"Bagchi",
"Arjun",
""
],
[
"Mandlik",
"Mangesh",
""
],
[
"Sharma",
"Punit",
""
]
] | Recently, a careful canonical quantisation of the theory of closed bosonic tensionless strings has resulted in the discovery of three separate vacua and hence three different quantum theories that emerge from this single classical tensionless theory. In this note, we perform lightcone quantisation with the aim of determination of the critical dimension of these three inequivalent quantum theories. The satisfying conclusion of a rather long and tedious calculation is that one of vacua does not lead to any constraint on the number of dimensions, while the other two give $D=26$. This implies that all three quantum tensionless theories can be thought of as consistent sub-sectors of quantum tensile bosonic closed string theory. |
2007.00230 | Arvin Shahbazi-Moghaddam | Raphael Bousso, Venkatesa Chandrasekaran, Pratik Rath, Arvin
Shahbazi-Moghaddam | Gravity Dual of Connes Cocycle Flow | 43 pages, 7 figures | Phys. Rev. D 102, 066008 (2020) | 10.1103/PhysRevD.102.066008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define the "kink transform" as a one-sided boost of bulk initial data
about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we
conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the
boundary state obtained by Connes cocycle (CC) flow across the cut. The bulk
patch is glued to a precursor slice related to the original boundary slice by a
one-sided boost. This evades ultraviolet divergences and distinguishes our
construction from one-sided modular flow. We verify that the kink transform is
consistent with known properties of operator expectation values and subregion
entropies under CC flow. CC flow generates a stress tensor shock at the cut,
controlled by a shape derivative of the entropy; the kink transform reproduces
this shock holographically by creating a bulk Weyl tensor shock. We also go
beyond known properties of CC flow by deriving novel shock components from the
kink transform.
| [
{
"created": "Wed, 1 Jul 2020 04:30:38 GMT",
"version": "v1"
}
] | 2020-09-30 | [
[
"Bousso",
"Raphael",
""
],
[
"Chandrasekaran",
"Venkatesa",
""
],
[
"Rath",
"Pratik",
""
],
[
"Shahbazi-Moghaddam",
"Arvin",
""
]
] | We define the "kink transform" as a one-sided boost of bulk initial data about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the boundary state obtained by Connes cocycle (CC) flow across the cut. The bulk patch is glued to a precursor slice related to the original boundary slice by a one-sided boost. This evades ultraviolet divergences and distinguishes our construction from one-sided modular flow. We verify that the kink transform is consistent with known properties of operator expectation values and subregion entropies under CC flow. CC flow generates a stress tensor shock at the cut, controlled by a shape derivative of the entropy; the kink transform reproduces this shock holographically by creating a bulk Weyl tensor shock. We also go beyond known properties of CC flow by deriving novel shock components from the kink transform. |
hep-th/9511185 | Gregory Moore | A. Losev, G. Moore, N. Nekrasov, S. Shatashvili | Central Extensions of Gauge Groups Revisited | 7 pages, harvmac. References added | null | null | PUPT-1568,ITEP-TH.10/95,YCTP-P18-95 | hep-th alg-geom math.AG | null | We present an explicit construction for the central extension of the group
$\Map(X, G)$ where $X$ is a compact manifold and $G$ is a Lie group. If $X$ is
a complex curve we obtain a simple construction of the extension by the Picard
variety $\Pic(X)$. The construction is easily adapted to the extension of
$\Aut(E)$, the gauge group of automorphisms of a nontrivial vector bundle $E$.
| [
{
"created": "Mon, 27 Nov 1995 03:56:08 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Dec 1995 04:09:35 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Losev",
"A.",
""
],
[
"Moore",
"G.",
""
],
[
"Nekrasov",
"N.",
""
],
[
"Shatashvili",
"S.",
""
]
] | We present an explicit construction for the central extension of the group $\Map(X, G)$ where $X$ is a compact manifold and $G$ is a Lie group. If $X$ is a complex curve we obtain a simple construction of the extension by the Picard variety $\Pic(X)$. The construction is easily adapted to the extension of $\Aut(E)$, the gauge group of automorphisms of a nontrivial vector bundle $E$. |
hep-th/0403156 | Ivonne Zavala | G. Tasinato, I. Zavala, C.P. Burgess and F. Quevedo | Regular S-Brane Backgrounds | 22 pages, 3 figures. Typos in eq.(2.6) corrected | JHEP 0404 (2004) 038 | 10.1088/1126-6708/2004/04/038 | COLO-HEP 499 | hep-th gr-qc hep-ph | null | We construct time-dependent S-brane solutions to the supergravity field
equations in various dimensions which (unlike most such geometries) do not
contain curvature singularities. The configurations we consider are less
symmetric than are earlier solutions, with our simplest solution being obtained
by a simple analytical continuation of the Kerr geometry. We discuss in detail
the global structure and properties of this background. We then generalize it
to higher dimensions and to include more complicated field configurations -
like non vanishing scalars and antisymmetric tensor gauge potentials - by the
usual artifice of applying duality symmetries.
| [
{
"created": "Mon, 15 Mar 2004 19:17:04 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Mar 2004 20:31:13 GMT",
"version": "v2"
},
{
"created": "Wed, 26 May 2004 01:24:13 GMT",
"version": "v3"
},
{
"created": "Fri, 23 Jul 2004 22:47:54 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Tasinato",
"G.",
""
],
[
"Zavala",
"I.",
""
],
[
"Burgess",
"C. P.",
""
],
[
"Quevedo",
"F.",
""
]
] | We construct time-dependent S-brane solutions to the supergravity field equations in various dimensions which (unlike most such geometries) do not contain curvature singularities. The configurations we consider are less symmetric than are earlier solutions, with our simplest solution being obtained by a simple analytical continuation of the Kerr geometry. We discuss in detail the global structure and properties of this background. We then generalize it to higher dimensions and to include more complicated field configurations - like non vanishing scalars and antisymmetric tensor gauge potentials - by the usual artifice of applying duality symmetries. |
2403.02377 | Jonathan Sorce | Onkar Parrikar, Harshit Rajgadia, Vivek Singh, Jonathan Sorce | Relational bulk reconstruction from modular flow | 25 pages + appendices; v2 has minor clarifications and is published
in JHEP | JHEP 2024, 138 (2024) | 10.1007/JHEP07(2024)138 | MIT-CTP/5688 | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entanglement wedge reconstruction paradigm in AdS/CFT states that for a
bulk qudit within the entanglement wedge of a boundary subregion $\bar{A}$,
operators acting on the bulk qudit can be reconstructed as CFT operators on
$\bar{A}$. This naturally fits within the framework of quantum error
correction, with the CFT states containing the bulk qudit forming a code
protected against the erasure of the boundary subregion $A$. In this paper, we
set up and study a framework for relational bulk reconstruction in holography:
given two code subspaces both protected against erasure of the boundary region
$A$, the goal is to relate the operator reconstructions between the two spaces.
To accomplish this, we assume that the two code subspaces are smoothly
connected by a one-parameter family of codes all protected against the erasure
of $A$, and that the maximally-entangled states on these codes are all
full-rank. We argue that such code subspaces can naturally be constructed in
holography in a "measurement-based" setting. In this setting, we derive a flow
equation for the operator reconstruction of a fixed code subspace operator
using modular theory which can, in principle, be integrated to relate the
reconstructed operators all along the flow. We observe a striking resemblance
between our formulas for relational bulk reconstruction and the infinite-time
limit of Connes cocycle flow, and take some steps towards making this
connection more rigorous. We also provide alternative derivations of our
reconstruction formulas in terms of a canonical reconstruction map we call the
modular reflection operator.
| [
{
"created": "Mon, 4 Mar 2024 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2024 13:25:06 GMT",
"version": "v2"
}
] | 2024-08-16 | [
[
"Parrikar",
"Onkar",
""
],
[
"Rajgadia",
"Harshit",
""
],
[
"Singh",
"Vivek",
""
],
[
"Sorce",
"Jonathan",
""
]
] | The entanglement wedge reconstruction paradigm in AdS/CFT states that for a bulk qudit within the entanglement wedge of a boundary subregion $\bar{A}$, operators acting on the bulk qudit can be reconstructed as CFT operators on $\bar{A}$. This naturally fits within the framework of quantum error correction, with the CFT states containing the bulk qudit forming a code protected against the erasure of the boundary subregion $A$. In this paper, we set up and study a framework for relational bulk reconstruction in holography: given two code subspaces both protected against erasure of the boundary region $A$, the goal is to relate the operator reconstructions between the two spaces. To accomplish this, we assume that the two code subspaces are smoothly connected by a one-parameter family of codes all protected against the erasure of $A$, and that the maximally-entangled states on these codes are all full-rank. We argue that such code subspaces can naturally be constructed in holography in a "measurement-based" setting. In this setting, we derive a flow equation for the operator reconstruction of a fixed code subspace operator using modular theory which can, in principle, be integrated to relate the reconstructed operators all along the flow. We observe a striking resemblance between our formulas for relational bulk reconstruction and the infinite-time limit of Connes cocycle flow, and take some steps towards making this connection more rigorous. We also provide alternative derivations of our reconstruction formulas in terms of a canonical reconstruction map we call the modular reflection operator. |
1505.05884 | Takahiro Nishinaka | Matthew Buican, Takahiro Nishinaka | On the Superconformal Index of Argyres-Douglas Theories | 46 pages, 1 figure; v2: typos corrected, arXiv identifier of
reference [41] added | null | 10.1088/1751-8113/49/1/015401 | RU-NHETC-2015-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conjecture a closed-form expression for the Schur limit of the
superconformal index of two infinite series of Argyres-Douglas (AD)
superconformal field theories (SCFTs): the (A_1,A_{2n-3}) and the (A_1,D_{2n})
theories. While these SCFTs can be realized at special points on the Coulomb
branch of certain N=2 gauge theories, their superconformal R symmetries are
emergent, and hence their indices cannot be evaluated by localization. Instead,
we construct the (A_1, A_{2n-3}) and (A_1, D_{2n}) indices by using a relation
to two-dimensional q-deformed Yang-Mills theory and data from the class S
construction. Our results generalize the indices derived from the torus
partition functions of the two-dimensional chiral algebras associated with the
(A_1, A_3) and (A_1, D_4) SCFTs. As checks of our conjectures, we study the
consistency of our results with an S-duality recently discussed by us in
collaboration with Giacomelli and Papageorgakis, we reproduce known Higgs
branch relations, we check consistency with a series of renormalization group
flows, and we verify that the small S^1 limits of our indices reproduce
expected Cardy-like behavior. We will discuss the S^1 reduction of our indices
in a separate paper.
| [
{
"created": "Thu, 21 May 2015 20:00:33 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jul 2015 14:54:15 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Buican",
"Matthew",
""
],
[
"Nishinaka",
"Takahiro",
""
]
] | We conjecture a closed-form expression for the Schur limit of the superconformal index of two infinite series of Argyres-Douglas (AD) superconformal field theories (SCFTs): the (A_1,A_{2n-3}) and the (A_1,D_{2n}) theories. While these SCFTs can be realized at special points on the Coulomb branch of certain N=2 gauge theories, their superconformal R symmetries are emergent, and hence their indices cannot be evaluated by localization. Instead, we construct the (A_1, A_{2n-3}) and (A_1, D_{2n}) indices by using a relation to two-dimensional q-deformed Yang-Mills theory and data from the class S construction. Our results generalize the indices derived from the torus partition functions of the two-dimensional chiral algebras associated with the (A_1, A_3) and (A_1, D_4) SCFTs. As checks of our conjectures, we study the consistency of our results with an S-duality recently discussed by us in collaboration with Giacomelli and Papageorgakis, we reproduce known Higgs branch relations, we check consistency with a series of renormalization group flows, and we verify that the small S^1 limits of our indices reproduce expected Cardy-like behavior. We will discuss the S^1 reduction of our indices in a separate paper. |
hep-th/0006037 | Clifford V. Johnson | Adel M. Awad and Clifford V. Johnson | Scale Vs. Conformal Invariance in the AdS/CFT Correspondence | 4 pages, RevTeX (v3: references added) | Phys.Rev. D62 (2000) 125010 | 10.1103/PhysRevD.62.125010 | UK/00-02; DTP/00/43 | hep-th | null | We present two examples of non-trivial field theories which are scale
invariant, but not conformally invariant. This is done by placing certain field
theories, which are conformally invariant in flat space, onto curved
backgrounds of a specific type. We define this using the AdS/CFT
correspondence, which relates the physics of gravity in asymptotically Anti-de
Sitter (AdS) spacetimes to that of a conformal field theory (CFT) in one
dimension fewer. The AdS rotating (Kerr) black holes in five and seven
dimensions provide us with the examples, since by the correspondence we are
able to define and compute the action and stress tensor of four and six
dimensional field theories residing on rotating Einstein universes, using the
``boundary counterterm'' method. The rotation breaks conformal but not scale
invariance. The AdS/CFT framework is therefore a natural arena for generating
such examples of non-trivial scale invariant theories which are not conformally
invariant.
| [
{
"created": "Tue, 6 Jun 2000 00:09:43 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2000 22:58:28 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jun 2000 22:57:00 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Awad",
"Adel M.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] | We present two examples of non-trivial field theories which are scale invariant, but not conformally invariant. This is done by placing certain field theories, which are conformally invariant in flat space, onto curved backgrounds of a specific type. We define this using the AdS/CFT correspondence, which relates the physics of gravity in asymptotically Anti-de Sitter (AdS) spacetimes to that of a conformal field theory (CFT) in one dimension fewer. The AdS rotating (Kerr) black holes in five and seven dimensions provide us with the examples, since by the correspondence we are able to define and compute the action and stress tensor of four and six dimensional field theories residing on rotating Einstein universes, using the ``boundary counterterm'' method. The rotation breaks conformal but not scale invariance. The AdS/CFT framework is therefore a natural arena for generating such examples of non-trivial scale invariant theories which are not conformally invariant. |
hep-th/9602093 | null | Chong-Sun Chu, Pei-Ming Ho and Bruno Zumino | Non-Abelian Anomalies and Effective Actions for a Homogeneous Space
$G/H$ | revised | Nucl.Phys. B475 (1996) 484-504 | 10.1016/0550-3213(96)00322-7 | LBL-38276, UCB-PTH-96/05 | hep-th hep-ph | null | We consider the problem of constructing the fully gauged effective action in
$2n$-dimensional space-time for Nambu-Goldstone bosons valued in a homogeneous
space $G/H$, with the requirement that the action be a solution of the
anomalous Ward identity and be invariant under the gauge transformations of
$H$. We show that this can be done whenever the homotopy group $\pi_{2n}(G/H)$
is trivial, $G/H$ is reductive and $H$ is embedded in $G$ so as to be anomaly
free, in particular if $H$ is an anomaly safe group. We construct the necessary
generalization of the Bardeen counterterm and give explicit forms for the
anomaly and the effective action. When $G/H$ is a symmetric space the
counterterm and the anomaly decompose into a parity even and a parity odd part.
In this case, for the parity even part of the action, one does not need the
anomaly free embedding of $H$.
| [
{
"created": "Fri, 16 Feb 1996 23:57:03 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Mar 1996 22:21:54 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Ho",
"Pei-Ming",
""
],
[
"Zumino",
"Bruno",
""
]
] | We consider the problem of constructing the fully gauged effective action in $2n$-dimensional space-time for Nambu-Goldstone bosons valued in a homogeneous space $G/H$, with the requirement that the action be a solution of the anomalous Ward identity and be invariant under the gauge transformations of $H$. We show that this can be done whenever the homotopy group $\pi_{2n}(G/H)$ is trivial, $G/H$ is reductive and $H$ is embedded in $G$ so as to be anomaly free, in particular if $H$ is an anomaly safe group. We construct the necessary generalization of the Bardeen counterterm and give explicit forms for the anomaly and the effective action. When $G/H$ is a symmetric space the counterterm and the anomaly decompose into a parity even and a parity odd part. In this case, for the parity even part of the action, one does not need the anomaly free embedding of $H$. |
2304.01292 | Vaibhav Kalvakota | Vaibhav Kalvakota | Holographic Quantum Gravity and Horizon Instability | Essay written for the Gravity Research Foundation 2023 Awards for
Essays on Gravitation; Some issue with the bib-style | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Essay, we will look at the relation between the No Transmission
principle and the Strong cosmic censorship (SCC), which we will highlight in
the background of quantum gravity. We show that taking quantum gravity into
account, one can provide a complete picture of the instability of the inner
horizon and the principle that two independent CFTs, under the gauge-gravity
duality, imply that the dual bulks must also be independent in that there must
not exist a way to transmit a signal between the two spacetimes. We show that
this can simply be interpreted as SCC, and that the inner horizon must be
unstable (at either linear or nonlinear orders) to be in accordance with
holographic quantum gravity.
| [
{
"created": "Mon, 3 Apr 2023 18:30:10 GMT",
"version": "v1"
}
] | 2023-04-05 | [
[
"Kalvakota",
"Vaibhav",
""
]
] | In this Essay, we will look at the relation between the No Transmission principle and the Strong cosmic censorship (SCC), which we will highlight in the background of quantum gravity. We show that taking quantum gravity into account, one can provide a complete picture of the instability of the inner horizon and the principle that two independent CFTs, under the gauge-gravity duality, imply that the dual bulks must also be independent in that there must not exist a way to transmit a signal between the two spacetimes. We show that this can simply be interpreted as SCC, and that the inner horizon must be unstable (at either linear or nonlinear orders) to be in accordance with holographic quantum gravity. |
hep-th/9406031 | Guy Bonneau | Guy Bonneau | B.R.S. renormalisation of some on-shell closed algebras of symmetry
transformations : N=2 and 4 supersymmetric non-linear sigma models | 22 pages, latex, PAR/LPTHE/94-11 | Helv.Phys.Acta 67:954-991,1994 | null | null | hep-th | null | We analyse with the algebraic, regularisation independant, cohomological
B.R.S. methods, the renormalisability of torsionless N=2 and N= 4
supersymmetric non-linear $\si$ models built on K\"ahler spaces. Surprisingly
enough with respect to the common wisdom, in the case of N=2 supersymmetry, we
obtain an anomaly candidate, at least in the compact K\"ahler Ricci-flat case.
If its coefficient does differ from zero, such anomaly would imply the breaking
of global N=2 supersymmetry and get into trouble some schemes of superstring
compactification as such non-linear $\si$ models offer candidates for the
superstring vacuum state. In the compact homogeneous K\"ahler case, as
expected, the anomaly candidate disappears. The same phenomena occurs when one
enforces N=4 supersymmetry : in that case, we obtain the first rigorous proof
of the expected all-orders renormalisability -`` in the space of metrics"- of
the corresponding non-linear $\si$ models. PAR/LPTHE/94-11
| [
{
"created": "Mon, 6 Jun 1994 12:59:52 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Bonneau",
"Guy",
""
]
] | We analyse with the algebraic, regularisation independant, cohomological B.R.S. methods, the renormalisability of torsionless N=2 and N= 4 supersymmetric non-linear $\si$ models built on K\"ahler spaces. Surprisingly enough with respect to the common wisdom, in the case of N=2 supersymmetry, we obtain an anomaly candidate, at least in the compact K\"ahler Ricci-flat case. If its coefficient does differ from zero, such anomaly would imply the breaking of global N=2 supersymmetry and get into trouble some schemes of superstring compactification as such non-linear $\si$ models offer candidates for the superstring vacuum state. In the compact homogeneous K\"ahler case, as expected, the anomaly candidate disappears. The same phenomena occurs when one enforces N=4 supersymmetry : in that case, we obtain the first rigorous proof of the expected all-orders renormalisability -`` in the space of metrics"- of the corresponding non-linear $\si$ models. PAR/LPTHE/94-11 |
hep-th/0404013 | Hisham Sati | Igor Kriz, Hisham Sati | M Theory, Type IIA Superstrings, and Elliptic Cohomology | 51 pages, latex2e, typos corrected. Published version | Adv.Theor.Math.Phys. 8 (2004) 345-395 | null | null | hep-th math.AT | null | The topological part of the M-theory partition function was shown by Witten
to be encoded in the index of an E8 bundle in eleven dimensions. This partition
function is, however, not automatically anomaly-free. We observe here that the
vanishing W_7=0 of the Diaconescu-Moore-Witten anomaly in IIA and compactified
M-theory partition function is equivalent to orientability of spacetime with
respect to (complex-oriented) elliptic cohomology. Motivated by this, we define
an elliptic cohomology correction to the IIA partition function, and propose
its relationship to interaction between 2-branes and 5-branes in the M-theory
limit.
| [
{
"created": "Fri, 2 Apr 2004 14:11:08 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Apr 2004 14:09:00 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Sep 2004 00:21:04 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Kriz",
"Igor",
""
],
[
"Sati",
"Hisham",
""
]
] | The topological part of the M-theory partition function was shown by Witten to be encoded in the index of an E8 bundle in eleven dimensions. This partition function is, however, not automatically anomaly-free. We observe here that the vanishing W_7=0 of the Diaconescu-Moore-Witten anomaly in IIA and compactified M-theory partition function is equivalent to orientability of spacetime with respect to (complex-oriented) elliptic cohomology. Motivated by this, we define an elliptic cohomology correction to the IIA partition function, and propose its relationship to interaction between 2-branes and 5-branes in the M-theory limit. |
2101.04140 | Diptarka Das | Diptarka Das, Roopayan Ghosh, Krishnendu Sengupta | Conformal Floquet dynamics with a continuous drive protocol | 20 pages, many figures | JHEP 05 (2021) 172 | 10.1007/JHEP05(2021)172 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | We study the properties {of a conformal field theory} (CFT) driven
periodically with a continuous protocol characterized by a frequency
$\omega_D$. Such a drive, in contrast to its discrete counterparts (such as
square pulses or periodic kicks), does not admit exact analytical solution for
the evolution operator $U$. In this work, we develop a Floquet perturbation
theory which provides an analytic, albeit perturbative, result for $U$ that
matches exact numerics in the large drive amplitude limit. We find that the
drive yields the well-known heating (hyperbolic) and non-heating (elliptic)
phases separated by transition lines (parabolic phase boundary). Using this and
starting from a primary state of the CFT, we compute the return probability
($P_n$), equal ($C_n$) and unequal ($G_n$) time two-point primary correlators,
energy density($E_n$), and the $m^{\rm th}$ Renyi entropy ($S_n^m$) after $n$
drive cycles. Our results show that below a crossover stroboscopic time scale
$n_c$, $P_n$, $E_n$ and $G_n$ exhibits universal power law behavior as the
transition is approached either from the heating or the non-heating phase; this
crossover scale diverges at the transition. We also study the emergent spatial
structure of $C_n$, $G_n$ and $E_n$ for the continuous protocol and find
emergence of spatial divergences of $C_n$ and $G_n$ in both the heating and
non-heating phases. We express our results for $S_n^m$ and $C_n$ in terms of
conformal blocks and provide analytic expressions for these quantities in
several limiting cases. Finally we relate our results to those obtained from
exact numerics of a driven lattice model.
| [
{
"created": "Mon, 11 Jan 2021 19:06:31 GMT",
"version": "v1"
}
] | 2021-06-11 | [
[
"Das",
"Diptarka",
""
],
[
"Ghosh",
"Roopayan",
""
],
[
"Sengupta",
"Krishnendu",
""
]
] | We study the properties {of a conformal field theory} (CFT) driven periodically with a continuous protocol characterized by a frequency $\omega_D$. Such a drive, in contrast to its discrete counterparts (such as square pulses or periodic kicks), does not admit exact analytical solution for the evolution operator $U$. In this work, we develop a Floquet perturbation theory which provides an analytic, albeit perturbative, result for $U$ that matches exact numerics in the large drive amplitude limit. We find that the drive yields the well-known heating (hyperbolic) and non-heating (elliptic) phases separated by transition lines (parabolic phase boundary). Using this and starting from a primary state of the CFT, we compute the return probability ($P_n$), equal ($C_n$) and unequal ($G_n$) time two-point primary correlators, energy density($E_n$), and the $m^{\rm th}$ Renyi entropy ($S_n^m$) after $n$ drive cycles. Our results show that below a crossover stroboscopic time scale $n_c$, $P_n$, $E_n$ and $G_n$ exhibits universal power law behavior as the transition is approached either from the heating or the non-heating phase; this crossover scale diverges at the transition. We also study the emergent spatial structure of $C_n$, $G_n$ and $E_n$ for the continuous protocol and find emergence of spatial divergences of $C_n$ and $G_n$ in both the heating and non-heating phases. We express our results for $S_n^m$ and $C_n$ in terms of conformal blocks and provide analytic expressions for these quantities in several limiting cases. Finally we relate our results to those obtained from exact numerics of a driven lattice model. |
hep-th/9605187 | T. A. Bolokhov | L.D. Faddeev (St.Petersburg Branch of Steklov Mathematical Institute,
Research Institute for Theoretical Physics University of Helsinki) | How Algebraic Bethe Ansatz works for integrable model | Les-Houches lectures, 59 pages, Latex | null | null | null | hep-th | null | I study the technique of Algebraic Bethe Ansatz for solving integrable models
and show how it works in detail on the simplest example of spin 1/2 XXX
magnetic chain. Several other models are treated more superficially, only the
specific details are given. Several parameters, appearing in these
generalizations: spin $s$, anisotropy parameter $\ga$, shift $\om$ in the
alternating chain, allow to include in our treatment most known examples of
soliton theory, including relativistic model of Quantum Field Theory.
| [
{
"created": "Sun, 26 May 1996 11:22:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Faddeev",
"L. D.",
"",
"St.Petersburg Branch of Steklov Mathematical Institute,\n Research Institute for Theoretical Physics University of Helsinki"
]
] | I study the technique of Algebraic Bethe Ansatz for solving integrable models and show how it works in detail on the simplest example of spin 1/2 XXX magnetic chain. Several other models are treated more superficially, only the specific details are given. Several parameters, appearing in these generalizations: spin $s$, anisotropy parameter $\ga$, shift $\om$ in the alternating chain, allow to include in our treatment most known examples of soliton theory, including relativistic model of Quantum Field Theory. |
hep-th/0105183 | Oscar J. C. Dias | Oscar J. C. Dias, Jose' P. S. Lemos | Static and rotating electrically charged black holes in
three-dimensional Brans-Dicke gravity theories | Latex, 32 pages, 6 Figures | Phys.Rev. D64 (2001) 064001 | 10.1103/PhysRevD.64.064001 | DF/IST-5.2001 | hep-th gr-qc | null | We obtain static and rotating electrically charged black holes of a
Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions.
The theory is specified by three fields, the dilaton, the graviton and the
electromagnetic field, and two parameters, the cosmological constant and the
Brans-Dicke parameter. It contains eight different cases, of which one
distinguishes as special cases, string theory, general relativity and a theory
equivalent to four dimensional general relativity with one Killing vector. We
find the ADM mass, angular momentum, electric charge and dilaton charge and
compute the Hawking temperature of the solutions. Causal structure and geodesic
motion of null and timelike particles in the black hole geometries are studied
in detail.
| [
{
"created": "Fri, 18 May 2001 18:40:25 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Dias",
"Oscar J. C.",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | We obtain static and rotating electrically charged black holes of a Einstein-Maxwell-Dilaton theory of the Brans-Dicke type in (2+1)-dimensions. The theory is specified by three fields, the dilaton, the graviton and the electromagnetic field, and two parameters, the cosmological constant and the Brans-Dicke parameter. It contains eight different cases, of which one distinguishes as special cases, string theory, general relativity and a theory equivalent to four dimensional general relativity with one Killing vector. We find the ADM mass, angular momentum, electric charge and dilaton charge and compute the Hawking temperature of the solutions. Causal structure and geodesic motion of null and timelike particles in the black hole geometries are studied in detail. |
2005.06433 | Alexander Chekmenev | Alexander Chekmenev, Maxim Grigoriev | Conformal Lagrangians from the (formal) near boundary analysis of AdS
gauge fields | Manifestly invariant form of the Lagrangian is added, typos
corrected, and refs added | null | 10.1016/j.nuclphysb.2021.115403 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A simple generating procedure for Lagrangians of conformal gauge fields of
mixed-symmetry type is presented. The construction originates from the analysis
of the near-boundary behaviour of the associated AdS gauge fields using the
ambient space approach to leading boundary values. Manifestly ambient form of
the Lagrangian is also obtained. As an illustration we apply the procedure to
the simplest mixed-symmetry conformal gauge field, described by the two-row
Young diagram, and derive the explicit component form of the respective
Lagrangian.
| [
{
"created": "Wed, 13 May 2020 17:13:03 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Dec 2020 21:25:12 GMT",
"version": "v2"
}
] | 2021-05-19 | [
[
"Chekmenev",
"Alexander",
""
],
[
"Grigoriev",
"Maxim",
""
]
] | A simple generating procedure for Lagrangians of conformal gauge fields of mixed-symmetry type is presented. The construction originates from the analysis of the near-boundary behaviour of the associated AdS gauge fields using the ambient space approach to leading boundary values. Manifestly ambient form of the Lagrangian is also obtained. As an illustration we apply the procedure to the simplest mixed-symmetry conformal gauge field, described by the two-row Young diagram, and derive the explicit component form of the respective Lagrangian. |
hep-th/0307171 | Shoichi Kawamoto | Shoichi Kawamoto and Toshihiro Matsuo (RIKEN) | Improved Renormalization Group analysis for Yang-Mills theory | 1+16 pages, 3 figures; ver 2, typos corrected, and some comments and
references added; ver 3, some sentences corrected, a figure replaced and a
number corrected; ver 4, in sec 2, the derivation of the main formula is
refined, final version to appear in Prog.Theor.Phys | Prog.Theor.Phys.119:303-321,2008 | 10.1143/PTP.119.303 | null | hep-th | null | We apply an improved renormalization group analysis for pure Yang-Mills
theory at one loop order and obtained the result that a non-perturbatively
generated pole mass of gluon emerges as $M_P^2/\Lambda^2 \simeq 0.66$, where
$\Lambda$ is the $MS$-bar scale.
| [
{
"created": "Fri, 18 Jul 2003 03:42:01 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 2003 02:25:38 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Aug 2006 18:06:15 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Mar 2008 07:41:22 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Kawamoto",
"Shoichi",
"",
"RIKEN"
],
[
"Matsuo",
"Toshihiro",
"",
"RIKEN"
]
] | We apply an improved renormalization group analysis for pure Yang-Mills theory at one loop order and obtained the result that a non-perturbatively generated pole mass of gluon emerges as $M_P^2/\Lambda^2 \simeq 0.66$, where $\Lambda$ is the $MS$-bar scale. |
hep-th/0106261 | Andreas Karch | Andreas Karch, Emanuel Katz, Lisa Randall | Absence of a VVDZ Discontinuity in AdS_AdS | 4 pages, Revtex; discussion of why VVDZ is not a problem even at the
quantum level is changed | JHEP 0112:016,2001 | 10.1088/1126-6708/2001/12/016 | MIT-CTP-3148 | hep-th | null | We clarify the role of gauge invariance for the theory of an AdS4 brane
embedded in AdS5. The presence of a nonvanishing mass parameter even for the
lightest KK mode of the graviton indicates that all of the spin-2 modes
propagate five polarization states. Despite this fact, it was shown earlier
that the classical theory has a smooth limit as the mass parameter is taken to
zero. We argue that locality in the fifth dimension ensures that this property
survives at the quantum level.
| [
{
"created": "Wed, 27 Jun 2001 22:56:22 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Feb 2002 23:51:58 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Karch",
"Andreas",
""
],
[
"Katz",
"Emanuel",
""
],
[
"Randall",
"Lisa",
""
]
] | We clarify the role of gauge invariance for the theory of an AdS4 brane embedded in AdS5. The presence of a nonvanishing mass parameter even for the lightest KK mode of the graviton indicates that all of the spin-2 modes propagate five polarization states. Despite this fact, it was shown earlier that the classical theory has a smooth limit as the mass parameter is taken to zero. We argue that locality in the fifth dimension ensures that this property survives at the quantum level. |
0905.0405 | Xian Gao | Xian Gao and Fanrong Xu | Loop Corrections to Cosmological Perturbations in Multi-field
Inflationary Models | 21 pages, 7 figures; v2, typos corrected, ref added; v3 typos
corrected, version for publishing in jcap | JCAP 0907:042,2009 | 10.1088/1475-7516/2009/07/042 | CAS-KITPC/ITP-109 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate one-loop quantum corrections to the power spectrum of
adiabatic perturbation from entropy modes/adiabatic mode cross-interactions in
multiple DBI inflationary models. We find that due to the non-canonical kinetic
term in DBI models, the loop corrections are enhanced by slow-varying parameter
$\epsilon$ and small sound speed $c_s$. Thus, in general the loop-corrections
in multi-DBI models can be large. Moreover, we find that the loop-corrections
from adiabatic/entropy cross-interaction vertices are IR finite.
| [
{
"created": "Mon, 4 May 2009 15:31:17 GMT",
"version": "v1"
},
{
"created": "Sat, 16 May 2009 12:14:35 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jul 2009 14:38:52 GMT",
"version": "v3"
}
] | 2010-04-07 | [
[
"Gao",
"Xian",
""
],
[
"Xu",
"Fanrong",
""
]
] | We investigate one-loop quantum corrections to the power spectrum of adiabatic perturbation from entropy modes/adiabatic mode cross-interactions in multiple DBI inflationary models. We find that due to the non-canonical kinetic term in DBI models, the loop corrections are enhanced by slow-varying parameter $\epsilon$ and small sound speed $c_s$. Thus, in general the loop-corrections in multi-DBI models can be large. Moreover, we find that the loop-corrections from adiabatic/entropy cross-interaction vertices are IR finite. |
hep-th/9801198 | Levon Mardoyan | L.G. Mardoyan, A.N. Sissakian | SU(2) -- Monopole: Interbasis Expansion | 9 pages, LaTeX file | null | null | null | hep-th | null | This article deals with a nonrelativistic quantum mechanical study of a
charge-dyon system with the SU(2)--monopole in five dimensions. The
Schr\"odinger equation for this system is separable in the hyperspherical and
parabolic coordinates. The problem of interbasis expansion of the wave
functions is completely solved. The coefficients for the expansion of the
parabolic basis in terms of the hyperspherical basis can be expressed through
the Clebsch-Gordan coefficients of the group SU(2).
| [
{
"created": "Thu, 29 Jan 1998 14:38:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mardoyan",
"L. G.",
""
],
[
"Sissakian",
"A. N.",
""
]
] | This article deals with a nonrelativistic quantum mechanical study of a charge-dyon system with the SU(2)--monopole in five dimensions. The Schr\"odinger equation for this system is separable in the hyperspherical and parabolic coordinates. The problem of interbasis expansion of the wave functions is completely solved. The coefficients for the expansion of the parabolic basis in terms of the hyperspherical basis can be expressed through the Clebsch-Gordan coefficients of the group SU(2). |
1309.7594 | Ding-Fang Zeng | Ding-fang Zeng and Kai Zhao | n+1 Dimensional Gravity duals to quantum criticalities with spontaneous
symmetry breaking | version to appear in commun. theor. phys | Commun. Theor. Phys. 60 (2013) 458-464 | 10.1088/0253-6102/60/4/13 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reexamine the charged AdS domain wall solution to the
Einstein-Abelian-Higgs model proposed by Gubser et al as holographic
superconductors at quantum critical points and comment on their statement about
the uniqueness of gravity solutions. We generalize their explorations from 3+1
dimensions to arbitrary $n+1$Ds and find that the $n+1\geqslant5$D charged AdS
domain walls are unstable against electric perturbations.
| [
{
"created": "Sun, 29 Sep 2013 13:28:44 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Zeng",
"Ding-fang",
""
],
[
"Zhao",
"Kai",
""
]
] | We reexamine the charged AdS domain wall solution to the Einstein-Abelian-Higgs model proposed by Gubser et al as holographic superconductors at quantum critical points and comment on their statement about the uniqueness of gravity solutions. We generalize their explorations from 3+1 dimensions to arbitrary $n+1$Ds and find that the $n+1\geqslant5$D charged AdS domain walls are unstable against electric perturbations. |
hep-th/0006043 | Avinash Dhar | Avinash Dhar and Spenta R. Wadia | Noncritical Strings, RG Flows and Holography | 19 pages, latex, no figures, minor changes and added references,
version to be published in Nucl. Phys. B | Nucl.Phys. B590 (2000) 261-272 | 10.1016/S0550-3213(00)00485-5 | TIFR-TH-00/30 | hep-th | null | We derive an RG flow equation that is satisfied by the regularized partition
function for noncritical strings in background fields. The flow refers to
change in the position of a ``boundary'' in the liouville direction. The
boundary is required to regularize the ultraviolet divergences in the partition
function coming from integration over world-sheets of arbitrarily small area.
From the point of view of the target space effective gravitational action
that the partition function evaluates on-shell, the boundary regularizes {\it
infrared} divergences coming from the infinite volume of the liouville
direction. The RG flow equation that we obtain looks very much like the
Hamilton-Jacobi constraint equation that an on-shell gauge-fixed gravitational
action must satisfy.
| [
{
"created": "Tue, 6 Jun 2000 13:12:50 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2000 13:09:39 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Dhar",
"Avinash",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | We derive an RG flow equation that is satisfied by the regularized partition function for noncritical strings in background fields. The flow refers to change in the position of a ``boundary'' in the liouville direction. The boundary is required to regularize the ultraviolet divergences in the partition function coming from integration over world-sheets of arbitrarily small area. From the point of view of the target space effective gravitational action that the partition function evaluates on-shell, the boundary regularizes {\it infrared} divergences coming from the infinite volume of the liouville direction. The RG flow equation that we obtain looks very much like the Hamilton-Jacobi constraint equation that an on-shell gauge-fixed gravitational action must satisfy. |
1104.2592 | Abhijit Gadde | Abhijit Gadde and Wenbin Yan | Reducing the 4d Index to the S^3 Partition Function | 12 pages, Corrected typos in the appendix, Updated references | null | 10.1007/JHEP12(2012)003 | YITP-SB-11-12 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The superconformal index of a 4d gauge theory is computed by a matrix
integral arising from localization of the supersymmetric path integral on S^3 x
S^1 to the saddle point. As the radius of the circle goes to zero, it is
natural to expect that the 4d path integral becomes the partition function of
dimensionally reduced gauge theory on S^3. We show that this is indeed the case
and recover the matrix integral of Kapustin, Willet and Yaakov from the matrix
integral that computes the superconformal index. Remarkably, the superconformal
index of the "parent" 4d theory can be thought of as the q-deformation of the
3d partition function.
| [
{
"created": "Wed, 13 Apr 2011 19:54:59 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2011 18:39:58 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Gadde",
"Abhijit",
""
],
[
"Yan",
"Wenbin",
""
]
] | The superconformal index of a 4d gauge theory is computed by a matrix integral arising from localization of the supersymmetric path integral on S^3 x S^1 to the saddle point. As the radius of the circle goes to zero, it is natural to expect that the 4d path integral becomes the partition function of dimensionally reduced gauge theory on S^3. We show that this is indeed the case and recover the matrix integral of Kapustin, Willet and Yaakov from the matrix integral that computes the superconformal index. Remarkably, the superconformal index of the "parent" 4d theory can be thought of as the q-deformation of the 3d partition function. |
2201.04634 | Manki Kim | Manki Kim | D(-1)-Instanton Superpotential In String Theory | v5. 36 pages. Clarifications added. Results unchanged | null | 10.1007/JHEP03(2022)054 | MIT-CTP/5387 | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the non-perturbative superpotential generated by D(-1)-branes in
type IIB compactifications on orientifolds of Calabi-Yau threefold
hypersurfaces. To compute the D-instanton superpotential, we study F-theory
compactification on toric complete intersection elliptic Calabi-Yau fourfolds.
We take the Sen-limit, but with finite $g_s,$ in F-theory compactification with
a restriction that all D7-branes are carrying SO(8) gauge groups, which we call
the global Sen-limit. In the global Sen-limit, the axio-dilaton is not varying
in the compactification manifold. We compute the Picard-Fuchs equations of
elliptic Calabi-Yau fourfolds in the global Sen-limit, and show that the
Picard-Fuchs equations of the elliptic fourfolds split into that of the
underlying Calabi-Yau threefolds and of the elliptic fiber. We then demonstrate
that this splitting property of the Picard-Fuchs equation implies that the
fourform period of the elliptic Calabi-Yau fourfolds in the global Sen-limit
does not contain exponentially suppressed terms $\mathcal{O}(e^{-\pi/g_s})$.
With this result, we finally show that in the global Sen-limit, the
superpotential of the underlying type IIB compactification does not receive
D(-1)-instanton contributions. This result is exact in $g_s.$
| [
{
"created": "Wed, 12 Jan 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jan 2022 18:45:08 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jan 2022 14:47:51 GMT",
"version": "v3"
},
{
"created": "Wed, 9 Mar 2022 14:46:45 GMT",
"version": "v4"
},
{
"cr... | 2023-10-24 | [
[
"Kim",
"Manki",
""
]
] | We study the non-perturbative superpotential generated by D(-1)-branes in type IIB compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. To compute the D-instanton superpotential, we study F-theory compactification on toric complete intersection elliptic Calabi-Yau fourfolds. We take the Sen-limit, but with finite $g_s,$ in F-theory compactification with a restriction that all D7-branes are carrying SO(8) gauge groups, which we call the global Sen-limit. In the global Sen-limit, the axio-dilaton is not varying in the compactification manifold. We compute the Picard-Fuchs equations of elliptic Calabi-Yau fourfolds in the global Sen-limit, and show that the Picard-Fuchs equations of the elliptic fourfolds split into that of the underlying Calabi-Yau threefolds and of the elliptic fiber. We then demonstrate that this splitting property of the Picard-Fuchs equation implies that the fourform period of the elliptic Calabi-Yau fourfolds in the global Sen-limit does not contain exponentially suppressed terms $\mathcal{O}(e^{-\pi/g_s})$. With this result, we finally show that in the global Sen-limit, the superpotential of the underlying type IIB compactification does not receive D(-1)-instanton contributions. This result is exact in $g_s.$ |
hep-th/9601117 | Louise Dolan | L. Dolan | The Beacon of Kac-Moody Symmetry for Physics | 10 pages, 4 Postscipt figures | Notices of the American Mathematical Society, Dec 1995, 1489 | null | null | hep-th | null | The role of Kac-Moody algebras in exploiting symmetries of particle physics
and string theory is described.
| [
{
"created": "Tue, 23 Jan 1996 02:35:17 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 1996 16:03:34 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Dolan",
"L.",
""
]
] | The role of Kac-Moody algebras in exploiting symmetries of particle physics and string theory is described. |
hep-th/0603158 | Sergei Dubovsky | S.L. Dubovsky, S.M. Sibiryakov | Spontaneous breaking of Lorentz invariance, black holes and perpetuum
mobile of the 2nd kind | 13 pages; references added | Phys.Lett.B638:509-514,2006 | 10.1016/j.physletb.2006.05.074 | HUTP-06/A0009, INR/TH-05-2006 | hep-th gr-qc hep-ph | null | We study the effect of spontaneous breaking of Lorentz invariance on black
hole thermodynamics. We consider a scenario where Lorentz symmetry breaking
manifests itself by the difference of maximal velocities attainable by
particles of different species in a preferred reference frame. The Lorentz
breaking sector is represented by the ghost condensate. We find that the
notions of black hole entropy and temperature loose their universal meaning. In
particular, the standard derivation of the Hawking radiation yields that a
black hole does emit thermal radiation in any given particle species, but with
temperature depending on the maximal attainable velocity of this species. We
demonstrate that this property implies violation of the second law of
thermodynamics, and hence, allows construction of a perpetuum mobile of the 2nd
kind. We discuss possible interpretation of these results.
| [
{
"created": "Tue, 21 Mar 2006 20:06:45 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 2006 20:32:52 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Dubovsky",
"S. L.",
""
],
[
"Sibiryakov",
"S. M.",
""
]
] | We study the effect of spontaneous breaking of Lorentz invariance on black hole thermodynamics. We consider a scenario where Lorentz symmetry breaking manifests itself by the difference of maximal velocities attainable by particles of different species in a preferred reference frame. The Lorentz breaking sector is represented by the ghost condensate. We find that the notions of black hole entropy and temperature loose their universal meaning. In particular, the standard derivation of the Hawking radiation yields that a black hole does emit thermal radiation in any given particle species, but with temperature depending on the maximal attainable velocity of this species. We demonstrate that this property implies violation of the second law of thermodynamics, and hence, allows construction of a perpetuum mobile of the 2nd kind. We discuss possible interpretation of these results. |
hep-th/9707002 | Tamiaki Yoneya | Tamiaki Yoneya | D-Particles, D-Instantons, and A Space-Time Uncertainty Principle in
String Theory | Talk given at the APCTP-ICTP Joint International Conference '97 (May
26-30, Seoul, Korea), 17pages, latex in mprocl.sty, no figures | null | null | UT-KOMABA/97-10 | hep-th | null | The purpose of this talk is to review some considerations by the present
author on the possible role of a simple space-time uncertainty relation toward
nonperturbative string theory. We first motivate the space-time uncertainty
relation as a simple space-time characterization of the fundamental string
theory. We then argue that the relation captures some of the important aspects
of the short-distance dynamics of D-particles described by the effective super
Yang-Mills matrix quantum mechanics, and also that the recently proposed type
IIB matrix model can be regarded as a possible realization of the space-time
uncertainty principle.
| [
{
"created": "Tue, 1 Jul 1997 06:35:11 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yoneya",
"Tamiaki",
""
]
] | The purpose of this talk is to review some considerations by the present author on the possible role of a simple space-time uncertainty relation toward nonperturbative string theory. We first motivate the space-time uncertainty relation as a simple space-time characterization of the fundamental string theory. We then argue that the relation captures some of the important aspects of the short-distance dynamics of D-particles described by the effective super Yang-Mills matrix quantum mechanics, and also that the recently proposed type IIB matrix model can be regarded as a possible realization of the space-time uncertainty principle. |
1411.3335 | Matthew Lippert | Yago Bea, Niko Jokela, Matthew Lippert, Alfonso V. Ramallo, and
Dimitrios Zoakos | Flux and Hall states in ABJM with dynamical flavors | 51 pages, 2 figures | JHEP 1503 (2015) 009 | 10.1007/JHEP03(2015)009 | HIP-2014-26/TH | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the physics of probe D6-branes with quantized internal worldvolume
flux in the ABJM background with unquenched massless flavors. This flux breaks
parity in the (2+1)-dimensional gauge theory and allows quantum Hall states.
Parity breaking is also explicitly demonstrated via the helicity dependence of
the meson spectrum. We obtain general expressions for the conductivities, both
in the gapped Minkowski embeddings and in the compressible black hole ones.
These conductivities depend on the flux and contain a contribution from the
dynamical flavors which can be regarded as an effect of intrinsic disorder due
to quantum fluctuations of the fundamentals. We present an explicit, analytic
family of supersymmetric solutions with nonzero charge density, electric, and
magnetic fields.
| [
{
"created": "Wed, 12 Nov 2014 21:00:15 GMT",
"version": "v1"
}
] | 2017-03-02 | [
[
"Bea",
"Yago",
""
],
[
"Jokela",
"Niko",
""
],
[
"Lippert",
"Matthew",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We study the physics of probe D6-branes with quantized internal worldvolume flux in the ABJM background with unquenched massless flavors. This flux breaks parity in the (2+1)-dimensional gauge theory and allows quantum Hall states. Parity breaking is also explicitly demonstrated via the helicity dependence of the meson spectrum. We obtain general expressions for the conductivities, both in the gapped Minkowski embeddings and in the compressible black hole ones. These conductivities depend on the flux and contain a contribution from the dynamical flavors which can be regarded as an effect of intrinsic disorder due to quantum fluctuations of the fundamentals. We present an explicit, analytic family of supersymmetric solutions with nonzero charge density, electric, and magnetic fields. |
hep-th/9210006 | Mirjam Cvetic | Mirjam Cvetic | Stability of Vacua and Domain Walls in Supergravity and Superstring
Theory | 6 pages, UPR-529-T | null | 10.1063/1.43394 | null | hep-th gr-qc | null | We address the possibility of false vacuum decay in $N=1$ supergravity
theories, including those corresponding to superstring vacua. By establishing a
Bogomol'nyi bound for the energy density stored in the domain wall of the
$O(4)$ invariant bubble, we show that supersymmetric vacua remain absolutely
stable against false vacuum decay into another supersymmetric vacuum, including
those from a Minkowski to an anti-deSitter (AdS) one. As a consequence, there
are no compact static spherical domain walls, while on the other hand there
exist planar domain walls interpolating between non-degenerate supersymmetric
vacua, e.g. between Minkowski (topology $\Re^{4}$) and AdS (topology
$S^{1}(time) \times \Re^{3}(space)$) vacua. (Talk presented at the XXVI
International Conference on High Energy Physics August 6-12, 1992, Dallas,
Texas)
| [
{
"created": "Thu, 1 Oct 1992 17:19:36 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Cvetic",
"Mirjam",
""
]
] | We address the possibility of false vacuum decay in $N=1$ supergravity theories, including those corresponding to superstring vacua. By establishing a Bogomol'nyi bound for the energy density stored in the domain wall of the $O(4)$ invariant bubble, we show that supersymmetric vacua remain absolutely stable against false vacuum decay into another supersymmetric vacuum, including those from a Minkowski to an anti-deSitter (AdS) one. As a consequence, there are no compact static spherical domain walls, while on the other hand there exist planar domain walls interpolating between non-degenerate supersymmetric vacua, e.g. between Minkowski (topology $\Re^{4}$) and AdS (topology $S^{1}(time) \times \Re^{3}(space)$) vacua. (Talk presented at the XXVI International Conference on High Energy Physics August 6-12, 1992, Dallas, Texas) |
1206.2249 | Humberto Belich | K. Bakke, H. Belich | Abelian geometric phase for a Dirac neutral particle in a Lorentz
symmetry violation environment | 16 pages, no figures | Journal of Physics. G, Nuclear and Particle Physics, v. 39, p.
085001, 2012 | 10.1088/0954-3899/39/8/085001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new term into the Dirac equation based on the Lorentz symmetry
violation background in order to make a theoretical description of the
relativistic quantum dynamics of a spin-half neutral particle, where the wave
function of the neutral particle acquires a relativistic Abelian quantum phase
given by the interaction between a fixed time-like 4-vector background and
crossed electric and magnetic fields, which is analogous to the geometric phase
obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett.
\textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced
electric dipole moment. We also discuss the flux dependence of energy levels of
bound states analogous to the Aharonov-Bohm effect for bound states.
| [
{
"created": "Mon, 11 Jun 2012 15:17:11 GMT",
"version": "v1"
}
] | 2012-06-12 | [
[
"Bakke",
"K.",
""
],
[
"Belich",
"H.",
""
]
] | We introduce a new term into the Dirac equation based on the Lorentz symmetry violation background in order to make a theoretical description of the relativistic quantum dynamics of a spin-half neutral particle, where the wave function of the neutral particle acquires a relativistic Abelian quantum phase given by the interaction between a fixed time-like 4-vector background and crossed electric and magnetic fields, which is analogous to the geometric phase obtained by Wei \textit{et al} [H. Wei, R. Han and X. Wei, Phys. Rev. Lett. \textbf{75}, 2071 (1995)] for a spinless neutral particle with an induced electric dipole moment. We also discuss the flux dependence of energy levels of bound states analogous to the Aharonov-Bohm effect for bound states. |
hep-th/0604162 | Kuldeep Kumar | Rabin Banerjee, Kuldeep Kumar | Deformed relativistic and nonrelativistic symmetries on canonical
noncommutative spaces | 9 pages, LaTeX, shortened, version appearing in Phys. Rev. D | Phys.Rev.D75:045008,2007 | 10.1103/PhysRevD.75.045008 | null | hep-th | null | We study the general deformed conformal-Poincare (Galilean) symmetries
consistent with relativistic (nonrelativistic) canonical noncommutative spaces.
In either case we obtain deformed generators, containing arbitrary free
parameters, which close to yield new algebraic structures. We show that a
particular choice of these parameters reproduces the undeformed algebra. The
modified coproduct rules and the associated Hopf algebra are also obtained.
Finally, we show that for the choice of parameters leading to the undeformed
algebra, the deformations are represented by twist functions.
| [
{
"created": "Sun, 23 Apr 2006 13:54:02 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Feb 2007 13:55:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Banerjee",
"Rabin",
""
],
[
"Kumar",
"Kuldeep",
""
]
] | We study the general deformed conformal-Poincare (Galilean) symmetries consistent with relativistic (nonrelativistic) canonical noncommutative spaces. In either case we obtain deformed generators, containing arbitrary free parameters, which close to yield new algebraic structures. We show that a particular choice of these parameters reproduces the undeformed algebra. The modified coproduct rules and the associated Hopf algebra are also obtained. Finally, we show that for the choice of parameters leading to the undeformed algebra, the deformations are represented by twist functions. |
hep-th/9804117 | Jose Geraldo Pereira | R. Aldrovandi, V. C. de Andrade and J. G. Pereira (IFT-UNESP, Sao
Paulo, Brazil) | Gravitomagnetic Moments of the Fundamental Fields | 8 pages, RevTeX Style, no figures, changed presentation -- now
restricted to fields of spin 0, 1/2 and 1 -- some references added | Int.J.Mod.Phys. A15 (2000) 2971-2978 | 10.1142/S0217751X00002123 | null | hep-th | null | The quadratic form of the Dirac equation in a Riemann spacetime yields a
gravitational gyromagnetic ratio \kappa_S = 2 for the interaction of a Dirac
spinor with curvature. A gravitational gyromagnetic ratio \kappa_S = 1 is also
found for the interaction of a vector field with curvature. It is shown that
the Dirac equation in a curved background can be obtained as the square--root
of the corresponding vector field equation only if the gravitational
gyromagnetic ratios are properly taken into account.
| [
{
"created": "Fri, 17 Apr 1998 14:12:30 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 1998 22:17:23 GMT",
"version": "v2"
}
] | 2016-12-28 | [
[
"Aldrovandi",
"R.",
"",
"IFT-UNESP, Sao\n Paulo, Brazil"
],
[
"de Andrade",
"V. C.",
"",
"IFT-UNESP, Sao\n Paulo, Brazil"
],
[
"Pereira",
"J. G.",
"",
"IFT-UNESP, Sao\n Paulo, Brazil"
]
] | The quadratic form of the Dirac equation in a Riemann spacetime yields a gravitational gyromagnetic ratio \kappa_S = 2 for the interaction of a Dirac spinor with curvature. A gravitational gyromagnetic ratio \kappa_S = 1 is also found for the interaction of a vector field with curvature. It is shown that the Dirac equation in a curved background can be obtained as the square--root of the corresponding vector field equation only if the gravitational gyromagnetic ratios are properly taken into account. |
hep-th/0005162 | Per Berglund | P. Berglund, T. Hubsch and D. Minic | Exponential Hierarchy From Spacetime Variable String Vacua | 22 pages, Latex, 2 figures | JHEP0009:015,2000 | 10.1088/1126-6708/2000/09/015 | null | hep-th | null | It is shown that non-supersymmetric spacetime varying string vacua can lead
to an exponential hierarchy between the electroweak and the gravitational
scales. The hierarchy is naturally generated by a string coupling of O(1).
| [
{
"created": "Wed, 17 May 2000 22:57:24 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2000 17:55:23 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Berglund",
"P.",
""
],
[
"Hubsch",
"T.",
""
],
[
"Minic",
"D.",
""
]
] | It is shown that non-supersymmetric spacetime varying string vacua can lead to an exponential hierarchy between the electroweak and the gravitational scales. The hierarchy is naturally generated by a string coupling of O(1). |
1003.3863 | Carina Popovici | C. Popovici, P. Watson and H. Reinhardt | Coulomb gauge confinement in the heavy quark limit | 22 pages, 6 figures | Phys.Rev.D81:105011,2010 | 10.1103/PhysRevD.81.105011 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The relationship between the nonperturbative Green's functions of Yang-Mills
theory and the confinement potential is investigated. By rewriting the
generating functional of quantum chromodynamics in terms of a heavy quark mass
expansion in Coulomb gauge, restricting to leading order in this expansion and
considering only the two-point functions of the Yang-Mills sector, the
rainbow-ladder approximation to the gap and Bethe-Salpeter equations is shown
to be exact in this case and an analytic, nonperturbative solution is
presented. It is found that there is a direct connection between the string
tension and the temporal gluon propagator. Further, it is shown that for the
4-point quark correlation functions, only confined bound states of
color-singlet quark-antiquark (meson) and quark-quark (baryon) pairs exist.
| [
{
"created": "Fri, 19 Mar 2010 19:18:15 GMT",
"version": "v1"
}
] | 2015-03-13 | [
[
"Popovici",
"C.",
""
],
[
"Watson",
"P.",
""
],
[
"Reinhardt",
"H.",
""
]
] | The relationship between the nonperturbative Green's functions of Yang-Mills theory and the confinement potential is investigated. By rewriting the generating functional of quantum chromodynamics in terms of a heavy quark mass expansion in Coulomb gauge, restricting to leading order in this expansion and considering only the two-point functions of the Yang-Mills sector, the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is shown to be exact in this case and an analytic, nonperturbative solution is presented. It is found that there is a direct connection between the string tension and the temporal gluon propagator. Further, it is shown that for the 4-point quark correlation functions, only confined bound states of color-singlet quark-antiquark (meson) and quark-quark (baryon) pairs exist. |
hep-th/0601017 | Omar Mustafa | Omar Mustafa and S.Habib Mazharimousavi | $\eta$-weak-pseudo-Hermiticity generators and radially symmetric
Hamiltonians | 14 pages, content revised/regularized to cover 1D and 3D cases | Int.J.Theor.Phys.47:2029,2008 | 10.1007/s10773-007-9647-0 | null | hep-th quant-ph | null | A class of spherically symmetric non-Hermitian Hamiltonians and their
\eta-weak-pseudo-Hermiticity generators are presented. An operators-based
procedure is introduced so that the results for the 1D Schrodinger Hamiltonian
may very well be reproduced. A generalization beyond the nodeless states is
proposed. Our illustrative examples include \eta-weak-pseudo-Hermiticity
generators for the non-Hermitian weakly perturbed 1D and radial oscillators,
the non-Hermitian perturbed radial Coulomb, and the non-Hermitian radial Morse
models.
| [
{
"created": "Tue, 3 Jan 2006 14:49:24 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2006 11:16:52 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Jun 2006 10:12:10 GMT",
"version": "v3"
},
{
"created": "Fri, 21 Sep 2007 19:19:29 GMT",
"version": "v4"
},
{
"crea... | 2008-11-26 | [
[
"Mustafa",
"Omar",
""
],
[
"Mazharimousavi",
"S. Habib",
""
]
] | A class of spherically symmetric non-Hermitian Hamiltonians and their \eta-weak-pseudo-Hermiticity generators are presented. An operators-based procedure is introduced so that the results for the 1D Schrodinger Hamiltonian may very well be reproduced. A generalization beyond the nodeless states is proposed. Our illustrative examples include \eta-weak-pseudo-Hermiticity generators for the non-Hermitian weakly perturbed 1D and radial oscillators, the non-Hermitian perturbed radial Coulomb, and the non-Hermitian radial Morse models. |
hep-th/0410182 | Terachi Hidenori | Satoshi Iso, Hidenori Terachi, Hiroshi Umetsu | Wilson Loops and Vertex Operators in Matrix Model | 26 pages, no figures, typos corrected, version accepted for
publication in Phys.Rev.D | Phys.Rev. D70 (2004) 125005 | 10.1103/PhysRevD.70.125005 | KEK-TH-989, OIQP-04-06 | hep-th | null | We systematically construct wave functions and vertex operators in the type
IIB (IKKT) matrix model by expanding a supersymmetric Wilson loop operator.
They form a massless multiplet of the N=2 type IIB supergravity and
automatically satisfy conservation laws.
| [
{
"created": "Mon, 18 Oct 2004 06:15:57 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Oct 2004 08:52:56 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Dec 2004 07:25:24 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Iso",
"Satoshi",
""
],
[
"Terachi",
"Hidenori",
""
],
[
"Umetsu",
"Hiroshi",
""
]
] | We systematically construct wave functions and vertex operators in the type IIB (IKKT) matrix model by expanding a supersymmetric Wilson loop operator. They form a massless multiplet of the N=2 type IIB supergravity and automatically satisfy conservation laws. |
0806.1783 | Cecilia Albertsson | Cecilia Albertsson, Tetsuji Kimura, Ronald A. Reid-Edwards | D-branes and doubled geometry | LaTeX, 42 pages; v2: error concerning integrability condition
corrected, clarifications and references added, typos corrected; v3: typos
corrected, published version | JHEP 0904:113,2009 | 10.1088/1126-6708/2009/04/113 | YITP-08-39; DESY-08-142 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define the open string version of the nonlinear sigma model on doubled
geometry introduced by Hull and Reid-Edwards, and derive its boundary
conditions. These conditions include the restriction of D-branes to maximally
isotropic submanifolds as well as a compatibility condition with the Lie
algebra structure on the doubled space. We demonstrate a systematic method to
derive and classify D-branes from the boundary conditions, in terms of
embeddings both in the doubled geometry and in the physical target space. We
apply it to the doubled three-torus with constant H-flux and find D0-, D1-, and
D2-branes, which we verify transform consistently under T-dualities mapping the
system to f-, Q- and R-flux backgrounds.
| [
{
"created": "Wed, 11 Jun 2008 03:10:51 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2008 07:07:14 GMT",
"version": "v2"
},
{
"created": "Sat, 23 May 2009 06:35:01 GMT",
"version": "v3"
}
] | 2009-05-23 | [
[
"Albertsson",
"Cecilia",
""
],
[
"Kimura",
"Tetsuji",
""
],
[
"Reid-Edwards",
"Ronald A.",
""
]
] | We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions. These conditions include the restriction of D-branes to maximally isotropic submanifolds as well as a compatibility condition with the Lie algebra structure on the doubled space. We demonstrate a systematic method to derive and classify D-branes from the boundary conditions, in terms of embeddings both in the doubled geometry and in the physical target space. We apply it to the doubled three-torus with constant H-flux and find D0-, D1-, and D2-branes, which we verify transform consistently under T-dualities mapping the system to f-, Q- and R-flux backgrounds. |
0801.1702 | Noriaki Kitazawa | Noriaki Kitazawa | Tadpole Resummations in String Theory | 14 pages | Phys.Lett.B660:415-421,2008 | 10.1016/j.physletb.2008.01.028 | null | hep-th | null | While R-R tadpoles should be canceled for consistency, string models with
broken supersymmetry generally have uncanceled NS-NS tadpoles. Their presence
signals that the background does not solve the field equations, so that these
models are in "wrong" vacua. In this letter we investigate, with reference to
some prototype examples, whether the true values of physical quantities can be
recovered resumming the NS-NS tadpoles, hence by an approach that is related to
the analysis based on String Field Theory by open-closed duality. We show that,
indeed, the positive classical vacuum energy of a Dp-brane of the bosonic
string is exactly canceled by the negative contribution arising from tree-level
tadpole resummation, in complete agreement with Sen's conjecture on open-string
tachyon condensation and with the consequent analysis based on String Field
Theory. We also show that the vanishing classical vacuum energy of the SO(8192)
unoriented bosonic open-string theory does not receive any tree-level
corrections from the tadpole resummation. This result is consistent with the
fact that this (unstable) configuration is free from tadpoles of massless
closed-string modes, although there is a tadpole of the closed string tachyon.
The application of this method to superstring models with broken supersymmetry
is also discussed.
| [
{
"created": "Fri, 11 Jan 2008 01:08:03 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kitazawa",
"Noriaki",
""
]
] | While R-R tadpoles should be canceled for consistency, string models with broken supersymmetry generally have uncanceled NS-NS tadpoles. Their presence signals that the background does not solve the field equations, so that these models are in "wrong" vacua. In this letter we investigate, with reference to some prototype examples, whether the true values of physical quantities can be recovered resumming the NS-NS tadpoles, hence by an approach that is related to the analysis based on String Field Theory by open-closed duality. We show that, indeed, the positive classical vacuum energy of a Dp-brane of the bosonic string is exactly canceled by the negative contribution arising from tree-level tadpole resummation, in complete agreement with Sen's conjecture on open-string tachyon condensation and with the consequent analysis based on String Field Theory. We also show that the vanishing classical vacuum energy of the SO(8192) unoriented bosonic open-string theory does not receive any tree-level corrections from the tadpole resummation. This result is consistent with the fact that this (unstable) configuration is free from tadpoles of massless closed-string modes, although there is a tadpole of the closed string tachyon. The application of this method to superstring models with broken supersymmetry is also discussed. |
1109.2228 | Janos Polonyi | Janos Polonyi | Dynamical breakdown of time reversal invariance and causality | 16 pg., 3 figures, to appear in Phys. Rev. D | null | 10.1103/PhysRevD.84.105021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Irreversibility and acausality of a sub-system are established in exactly
soluble harmonic models with reversible and causal dynamics. It is shown that
initial conditions, imposed on some dynamical degrees of freedom may break time
reversal invariance for other degrees of freedom. This happens if observations
carried out in any large but finite amount of time can not resolve the spectrum
of the eliminated degrees of freedom, namely when the spectrum has a
condensation point at the ground state. Acausality follows due to the dominance
of the dynamics by almost time-independent modes.
| [
{
"created": "Sat, 10 Sep 2011 15:13:40 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 2011 10:05:50 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Polonyi",
"Janos",
""
]
] | Irreversibility and acausality of a sub-system are established in exactly soluble harmonic models with reversible and causal dynamics. It is shown that initial conditions, imposed on some dynamical degrees of freedom may break time reversal invariance for other degrees of freedom. This happens if observations carried out in any large but finite amount of time can not resolve the spectrum of the eliminated degrees of freedom, namely when the spectrum has a condensation point at the ground state. Acausality follows due to the dominance of the dynamics by almost time-independent modes. |
1004.1172 | Vishnu Jejjala | Yang-Hui He, Vishnu Jejjala, Djordje Minic | On the Physics of the Riemann Zeros | 8 pages, LaTeX, Quantum Theory and Symmetries 6 conference
proceedings | null | null | null | hep-th math-ph math.MP math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a formal derivation of an integral expression for the Li
coefficients associated with the Riemann xi-function which, in particular,
indicates that their positivity criterion is obeyed, whereby entailing the
criticality of the non-trivial zeros. We conjecture the validity of this and
related expressions without the need for the Riemann Hypothesis and discuss a
physical interpretation of this result within the Hilbert-Polya approach. In
this context we also outline a relation between string theory and the Riemann
Hypothesis.
| [
{
"created": "Wed, 7 Apr 2010 20:02:25 GMT",
"version": "v1"
}
] | 2010-04-12 | [
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Minic",
"Djordje",
""
]
] | We discuss a formal derivation of an integral expression for the Li coefficients associated with the Riemann xi-function which, in particular, indicates that their positivity criterion is obeyed, whereby entailing the criticality of the non-trivial zeros. We conjecture the validity of this and related expressions without the need for the Riemann Hypothesis and discuss a physical interpretation of this result within the Hilbert-Polya approach. In this context we also outline a relation between string theory and the Riemann Hypothesis. |
hep-th/0501046 | Hrvoje Nikolic | H. Nikolic | Covariant many-fingered time Bohmian interpretation of quantum field
theory | 7 pages, significantly revised | Phys.Lett.A348:166-171,2006 | 10.1016/j.physleta.2005.09.025 | null | hep-th gr-qc quant-ph | null | The Bohmian interpretation of the many-fingered time (MFT) Tomonaga-Schwinger
formulation of quantum field theory (QFT) describes MFT fields, which provides
a covariant Bohmian interpretation of QFT without introducing a preferred
foliation of spacetime.
| [
{
"created": "Fri, 7 Jan 2005 14:41:24 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2005 11:58:25 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jun 2005 10:22:42 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Nikolic",
"H.",
""
]
] | The Bohmian interpretation of the many-fingered time (MFT) Tomonaga-Schwinger formulation of quantum field theory (QFT) describes MFT fields, which provides a covariant Bohmian interpretation of QFT without introducing a preferred foliation of spacetime. |
hep-th/0408048 | Lee Smolin | Lee Smolin | An invitation to loop quantum gravity | 50 pages, to be submitted to Reviews of Modern Physics | null | 10.1142/9789812702340_0078 | null | hep-th | null | We describe the basic assumptions and key results of loop quantum gravity,
which is a background independent approach to quantum gravity. The emphasis is
on the basic physical principles and how one deduces predictions from them, at
a level suitable for physicsts in other areas such as string theory, cosmology,
particle physics, astrophysics and condensed matter physics. No details are
given, but references are provided to guide the interested reader to the
literature. The present state of knowledge is summarized in a list of 35 key
results on topics including the hamiltonian and path integral quantizations,
coupling to matter, extensions to supergravity and higher dimensional theories,
as well as applications to black holes, cosmology and Plank scale
phenomenology. We describe the near term prospects for observational tests of
quantum theories of gravity and the expectations that loop quantum gravity may
provide predictions for their outcomes. Finally, we provide answers to
frequently asked questions and a list of key open problems.
| [
{
"created": "Thu, 5 Aug 2004 19:26:51 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Aug 2004 16:03:43 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jun 2005 21:28:21 GMT",
"version": "v3"
}
] | 2017-08-23 | [
[
"Smolin",
"Lee",
""
]
] | We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level suitable for physicsts in other areas such as string theory, cosmology, particle physics, astrophysics and condensed matter physics. No details are given, but references are provided to guide the interested reader to the literature. The present state of knowledge is summarized in a list of 35 key results on topics including the hamiltonian and path integral quantizations, coupling to matter, extensions to supergravity and higher dimensional theories, as well as applications to black holes, cosmology and Plank scale phenomenology. We describe the near term prospects for observational tests of quantum theories of gravity and the expectations that loop quantum gravity may provide predictions for their outcomes. Finally, we provide answers to frequently asked questions and a list of key open problems. |
hep-th/9704160 | null | V.G.Ksenzov | New approach to the non-perturbative physics | 9 pages, latex | Phys.Lett. B410 (1997) 52-56 | 10.1016/S0370-2693(97)00962-3 | ITEP-TH-15/97 | hep-th | null | It was shown that the non-perturbative properties of the vacuum are described
by the quantum fluctuations around the classical background with zero canonical
momentum. The vacuum state has been built and checked in the framework of the
sigma models in two dimentions.
| [
{
"created": "Wed, 23 Apr 1997 13:07:05 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Ksenzov",
"V. G.",
""
]
] | It was shown that the non-perturbative properties of the vacuum are described by the quantum fluctuations around the classical background with zero canonical momentum. The vacuum state has been built and checked in the framework of the sigma models in two dimentions. |
1203.2961 | Sergey Solodukhin N. | Sergey N. Solodukhin | Positive cosmological constant, non-local gravity and horizon entropy | 17 pages, two footnotes added, final version to appear in Nucl.Phys.B | null | 10.1016/j.nuclphysb.2012.04.009 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a class of (local and non-local) theories of gravity that share
same properties: i) they admit the Einstein spacetime with arbitrary
cosmological constant as a solution; ii) the on-shell action of such a theory
vanishes and iii) any (cosmological or black hole) horizon in the Einstein
spacetime with a positive cosmological constant does not have a non-trivial
entropy. The main focus is made on a recently proposed non-local model. This
model has two phases: with a positive cosmological constant $\Lambda>0$ and
with zero $\Lambda$. The effective gravitational coupling differs essentially
in these two phases. Generalizing the previous result of Barvinsky we show that
the non-local theory in question is free of ghosts on the background of any
Einstein spacetime and that it propagates a standard spin-2 particle. Contrary
to the phase with a positive $\Lambda$, where the entropy vanishes for any type
of horizon, in an Einstein spacetime with zero cosmological constant the
horizons have the ordinary entropy proportional to the area. We conclude that,
somewhat surprisingly, the presence of any, even extremely tiny, positive
cosmological constant should be important for the proper resolution of the
entropy problem and, possibly, the information puzzle.
| [
{
"created": "Tue, 13 Mar 2012 21:51:33 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2012 08:55:01 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Apr 2012 07:06:23 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Solodukhin",
"Sergey N.",
""
]
] | We discuss a class of (local and non-local) theories of gravity that share same properties: i) they admit the Einstein spacetime with arbitrary cosmological constant as a solution; ii) the on-shell action of such a theory vanishes and iii) any (cosmological or black hole) horizon in the Einstein spacetime with a positive cosmological constant does not have a non-trivial entropy. The main focus is made on a recently proposed non-local model. This model has two phases: with a positive cosmological constant $\Lambda>0$ and with zero $\Lambda$. The effective gravitational coupling differs essentially in these two phases. Generalizing the previous result of Barvinsky we show that the non-local theory in question is free of ghosts on the background of any Einstein spacetime and that it propagates a standard spin-2 particle. Contrary to the phase with a positive $\Lambda$, where the entropy vanishes for any type of horizon, in an Einstein spacetime with zero cosmological constant the horizons have the ordinary entropy proportional to the area. We conclude that, somewhat surprisingly, the presence of any, even extremely tiny, positive cosmological constant should be important for the proper resolution of the entropy problem and, possibly, the information puzzle. |
2308.10945 | Vyshnav Mohan | Vyshnav Mohan | Krylov Complexity of Open Quantum Systems: From Hard Spheres to Black
Holes | 25 pages, 7 figures; v2: refs added, minor changes. Matches the
published version | null | 10.1007/JHEP11(2023)222 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | We examine the complexity of quasi-static chaotic open quantum systems. As a
prototypical example, we analytically compute the Krylov complexity of a slowly
leaking hard-sphere gas using Berry's conjecture. We then connect it to the
holographic complexity of a $d+1$-dimensional evaporating black hole using the
Complexity=Volume proposal. We model the black hole spacetime by stitching
together a sequence of static Schwarzschild patches across incoming negative
energy null shock waves. Under certain identification of parameters, we find
the late time complexity growth rate during each quasi-static equilibrium to be
the same in both systems.
| [
{
"created": "Mon, 21 Aug 2023 18:00:05 GMT",
"version": "v1"
},
{
"created": "Sun, 3 Dec 2023 21:10:10 GMT",
"version": "v2"
}
] | 2023-12-05 | [
[
"Mohan",
"Vyshnav",
""
]
] | We examine the complexity of quasi-static chaotic open quantum systems. As a prototypical example, we analytically compute the Krylov complexity of a slowly leaking hard-sphere gas using Berry's conjecture. We then connect it to the holographic complexity of a $d+1$-dimensional evaporating black hole using the Complexity=Volume proposal. We model the black hole spacetime by stitching together a sequence of static Schwarzschild patches across incoming negative energy null shock waves. Under certain identification of parameters, we find the late time complexity growth rate during each quasi-static equilibrium to be the same in both systems. |
hep-th/0301225 | Christian Schubert | D.G.C. McKeon, C. Schubert | Supersymmetry on AdS3 and AdS4 | 14 pages, no figures. Final published version. Now includes a
discussion of the relation of our approach to previous work on supersymmetry
in AdS spaces | Class.Quant.Grav. 21 (2004) 3337 | 10.1088/0264-9381/21/13/015 | UMSNH-Phys-02-12 | hep-th | null | We consider a supersymmetric extension of the algebra associated with three
and four dimensional Anti de Sitter space. A representation of the
supersymmetry operators in superspace is given. Supersymmetry invariant models
are constructed for the superspace associated with AdS3.
| [
{
"created": "Tue, 28 Jan 2003 03:16:25 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2004 08:49:32 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"McKeon",
"D. G. C.",
""
],
[
"Schubert",
"C.",
""
]
] | We consider a supersymmetric extension of the algebra associated with three and four dimensional Anti de Sitter space. A representation of the supersymmetry operators in superspace is given. Supersymmetry invariant models are constructed for the superspace associated with AdS3. |
hep-th/9609094 | null | Ramzi R. Khuri | Supersymmetry, Duality and Bound States | 8 pages, harvmac, talk given at Strings '96 | null | null | CERN-TH/96-235, McGill/96-32 | hep-th | null | $P$-brane solutions of low-energy string actions have traditionally provided
the first evidence for the existence of string dualities, in which fundamental
and solitonic $p$-branes are identified with perturbative and non-perturbative
BPS states. In this talk we discuss the composite nature of solutions, which
allows for the interpretation of general solutions as bound states or
intersections of maximally supersymmetric fundamental constituents. This
feature lies at the heart of the recent success of string theory in reproducing
the Beckenstein-Hawking black hole entropy formula.
| [
{
"created": "Wed, 11 Sep 1996 16:58:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khuri",
"Ramzi R.",
""
]
] | $P$-brane solutions of low-energy string actions have traditionally provided the first evidence for the existence of string dualities, in which fundamental and solitonic $p$-branes are identified with perturbative and non-perturbative BPS states. In this talk we discuss the composite nature of solutions, which allows for the interpretation of general solutions as bound states or intersections of maximally supersymmetric fundamental constituents. This feature lies at the heart of the recent success of string theory in reproducing the Beckenstein-Hawking black hole entropy formula. |
2308.15861 | Zekai Hong | Zhengjiang Li and Zekai Hong | Islands on codim-2 branes in Gauss-Bonnet Gravity | 19 pages,6 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the black hole information problem on codim-2 branes in Gauss-Bonnet
gravity. Thanks to the island surface ending on the brane, the Page curve of
eternal black holes can be recovered for all of the GB couplings within the
causal constraints. Our results strongly support the universality of the island
mechanism. Similar to Einstein's gravity, the HM surface can exist only in a
finite time in GB gravity. Remarkably, for various parameters, the maximum
times of HM surface are always larger than the Page times. As a result, the
strange behavior of HM surfaces does not affect the Page curves for general GB
gravity. Finally, we establish the correlation between the Page time, GB
couplings, and brane tension, revealing that the Page time increases with these
factors.
| [
{
"created": "Wed, 30 Aug 2023 08:53:30 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Sep 2023 11:29:16 GMT",
"version": "v2"
}
] | 2023-09-19 | [
[
"Li",
"Zhengjiang",
""
],
[
"Hong",
"Zekai",
""
]
] | We study the black hole information problem on codim-2 branes in Gauss-Bonnet gravity. Thanks to the island surface ending on the brane, the Page curve of eternal black holes can be recovered for all of the GB couplings within the causal constraints. Our results strongly support the universality of the island mechanism. Similar to Einstein's gravity, the HM surface can exist only in a finite time in GB gravity. Remarkably, for various parameters, the maximum times of HM surface are always larger than the Page times. As a result, the strange behavior of HM surfaces does not affect the Page curves for general GB gravity. Finally, we establish the correlation between the Page time, GB couplings, and brane tension, revealing that the Page time increases with these factors. |
hep-th/9410223 | Fernando Ruiz | C.P. Martin and F. Ruiz Ruiz | Higher covariant derivative Pauli-Villars regularization does not lead
to a consistent QCD | 43 pages, Latex file (uses the macro axodraw.sty, instructions of how
to get it and use it included), FTUAM 94/9, NIKHEF-H 94/24 | Nucl.Phys. B436 (1995) 545-581 | 10.1016/0550-3213(94)00527-L | null | hep-th hep-ph | null | We compute the beta function at one loop for Yang-Mills theory using as
regulator the combination of higher covariant derivatives and Pauli-Villars
determinants proposed by Faddeev and Slavnov. This regularization prescription
has the appealing feature that it is manifestly gauge invariant and essentially
four-dimensional. It happens however that the one-loop coefficient in the beta
function that it yields is not $-11/3,$ as it should be, but $-23/6.$ The
difference is due to unphysical logarithmic radiative corrections generated by
the Pauli-Villars determinants on which the regularization method is based.
This no-go result discards the prescription as a viable gauge invariant
regularization, thus solving a long-standing open question in the literature.
We also observe that the prescription can be modified so as to not generate
unphysical logarithmic corrections, but at the expense of losing manifest gauge
invariance.
| [
{
"created": "Fri, 28 Oct 1994 13:39:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Martin",
"C. P.",
""
],
[
"Ruiz",
"F. Ruiz",
""
]
] | We compute the beta function at one loop for Yang-Mills theory using as regulator the combination of higher covariant derivatives and Pauli-Villars determinants proposed by Faddeev and Slavnov. This regularization prescription has the appealing feature that it is manifestly gauge invariant and essentially four-dimensional. It happens however that the one-loop coefficient in the beta function that it yields is not $-11/3,$ as it should be, but $-23/6.$ The difference is due to unphysical logarithmic radiative corrections generated by the Pauli-Villars determinants on which the regularization method is based. This no-go result discards the prescription as a viable gauge invariant regularization, thus solving a long-standing open question in the literature. We also observe that the prescription can be modified so as to not generate unphysical logarithmic corrections, but at the expense of losing manifest gauge invariance. |
1205.2354 | Elena Caceres | Elena Caceres (Texas U. & Colima U.), Arnab Kundu (Texas U. & Santa
Barbara, KITP) | Holographic Thermalization with Chemical Potential | 49 pages, v2 references added, typo corrected | null | 10.1007/JHEP09(2012)055 | UTTG-05-12, NSF-KITP-12-060 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermalization of a strongly coupled quantum field theory in the
presence of a chemical potential. More precisely, using the holographic
prescription, we calculate non- local operators such as two point function,
Wilson loop and entanglement entropy in a time- dependent background that
interpolates between AdSd+1 and AdSd+1 -Reissner-Nordstr\"om for d = 3, 4. We
find that it is the entanglement entropy that thermalizes the latest and thus
sets a time-scale for equilibration in the field theory. We study the
dependence of the thermalization time on the probe length and the chemical
potential. We find an interesting non-monotonic behavior. For a fixed small
value of T l and small values of \mu/T the thermalization time decreases as we
increase \mu/T, thus the plasma thermalizes faster. For large values of \mu/T
the dependence changes and the thermalization time increases with increasing
\mu/T . On the other hand, if we increase the value of T l this non-monotonic
behavior becomes less pronounced and eventually disappears indicating two
different regimes for the physics of thermalization: non-monotonic dependence
of the thermalization time on the chemical potential for T l << 1 and monotonic
for T l >> 1.
| [
{
"created": "Thu, 10 May 2012 19:18:23 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2012 22:29:28 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Caceres",
"Elena",
"",
"Texas U. & Colima U."
],
[
"Kundu",
"Arnab",
"",
"Texas U. & Santa\n Barbara, KITP"
]
] | We study the thermalization of a strongly coupled quantum field theory in the presence of a chemical potential. More precisely, using the holographic prescription, we calculate non- local operators such as two point function, Wilson loop and entanglement entropy in a time- dependent background that interpolates between AdSd+1 and AdSd+1 -Reissner-Nordstr\"om for d = 3, 4. We find that it is the entanglement entropy that thermalizes the latest and thus sets a time-scale for equilibration in the field theory. We study the dependence of the thermalization time on the probe length and the chemical potential. We find an interesting non-monotonic behavior. For a fixed small value of T l and small values of \mu/T the thermalization time decreases as we increase \mu/T, thus the plasma thermalizes faster. For large values of \mu/T the dependence changes and the thermalization time increases with increasing \mu/T . On the other hand, if we increase the value of T l this non-monotonic behavior becomes less pronounced and eventually disappears indicating two different regimes for the physics of thermalization: non-monotonic dependence of the thermalization time on the chemical potential for T l << 1 and monotonic for T l >> 1. |
2306.13308 | Zhang-Yu Nie | Xing-Kun Zhang, Zhang-Yu Nie, Hui Zeng and Qiyuan Pan | The holographic s+p model in 4D and 5D Einstein-Gauss-Bonnet gravity | 8 pages, 6 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic s+p model in both four dimensional (4D) and five
dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravity. We first show a phase
diagram with the Gauss-Bonnet parameter fixed to a small value $\alpha=10^{-7}$
to choose propitiate values of $q_p/q_s$. Then we fix the value of $q_p/q_s$
and plot $\alpha-\mu$ phase diagrams to show the influence of Gauss-Bonnet term
on the phase transitions in both 4D and 5D bulk, respectively. The phase
diagrams in 4D and 5D present the same qualitative features, indicating
similarity of 4D Einstein-Gauss-Bonnet gravity with the 5D case in holography.
We also study the influences of Gauss-Bonnet parameter on the special values of
the fourth order nonlinear term parameters $\lambda_s$ and $\lambda_p$, below
which the condensate grows to a different direction near the critical point,
that is important in realizing 1st order superfluid phase transitions.
Especially, we notice that these special values are different in the canonical
and grand canonical ensembles, which is closely related to the study of the
spinodal region, where the phase separations occurs with the linear instability
at finite wave vector.
| [
{
"created": "Fri, 23 Jun 2023 05:58:42 GMT",
"version": "v1"
}
] | 2023-06-26 | [
[
"Zhang",
"Xing-Kun",
""
],
[
"Nie",
"Zhang-Yu",
""
],
[
"Zeng",
"Hui",
""
],
[
"Pan",
"Qiyuan",
""
]
] | We study the holographic s+p model in both four dimensional (4D) and five dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravity. We first show a phase diagram with the Gauss-Bonnet parameter fixed to a small value $\alpha=10^{-7}$ to choose propitiate values of $q_p/q_s$. Then we fix the value of $q_p/q_s$ and plot $\alpha-\mu$ phase diagrams to show the influence of Gauss-Bonnet term on the phase transitions in both 4D and 5D bulk, respectively. The phase diagrams in 4D and 5D present the same qualitative features, indicating similarity of 4D Einstein-Gauss-Bonnet gravity with the 5D case in holography. We also study the influences of Gauss-Bonnet parameter on the special values of the fourth order nonlinear term parameters $\lambda_s$ and $\lambda_p$, below which the condensate grows to a different direction near the critical point, that is important in realizing 1st order superfluid phase transitions. Especially, we notice that these special values are different in the canonical and grand canonical ensembles, which is closely related to the study of the spinodal region, where the phase separations occurs with the linear instability at finite wave vector. |
2109.03633 | Suat Dengiz | Mohammad Reza Setare, Seyed Naseh Sajadi, Suat Dengiz, Ercan
Kilicarslan | New Chiral Generalized Minimal Massive Gravity | 10 pages, references added, published in Phys. Rev. D | Physical Review D 104, 066004 (2021 | 10.1103/PhysRevD.104.066004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the generalized minimal massive gravity (GMMG) in Compere, Song and
Strominger boundary conditions employing a semi-product of a Virasoro and a
$\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We
calculate the entropy of BTZ black holes via the degeneracy of states belonging
to a Warped-CFT. We compute the linearized energy excitations by using the
representations of the algebra $\hat{u}(1) \times SL(2,R)_R$ and show that
energies of excitations are non-negative at (two) chiral points in the
parameter space. At these special points, the charge algebra is described by
either Virasoro algebra or Kac-Moody algebra. We also consider some special
limits of the GMMG theory which correspond to $2+1$-dimensional massive gravity
theories such as new massive and minimal massive gravity theories.
| [
{
"created": "Wed, 8 Sep 2021 13:24:45 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2021 17:21:36 GMT",
"version": "v2"
}
] | 2021-09-10 | [
[
"Setare",
"Mohammad Reza",
""
],
[
"Sajadi",
"Seyed Naseh",
""
],
[
"Dengiz",
"Suat",
""
],
[
"Kilicarslan",
"Ercan",
""
]
] | We study the generalized minimal massive gravity (GMMG) in Compere, Song and Strominger boundary conditions employing a semi-product of a Virasoro and a $\hat{u}(1)$ Kac-Moody current algebras as the asymptotic symmetry algebra. We calculate the entropy of BTZ black holes via the degeneracy of states belonging to a Warped-CFT. We compute the linearized energy excitations by using the representations of the algebra $\hat{u}(1) \times SL(2,R)_R$ and show that energies of excitations are non-negative at (two) chiral points in the parameter space. At these special points, the charge algebra is described by either Virasoro algebra or Kac-Moody algebra. We also consider some special limits of the GMMG theory which correspond to $2+1$-dimensional massive gravity theories such as new massive and minimal massive gravity theories. |
hep-th/9810174 | null | Gianpiero Mangano | Spacetime at the Planck scale and Path Integral | RevTex, 3 pages, no figures, to appear in Proceedings of 6th
International Conference on Path Integral, Florence, August 1998 | null | null | DSF 38/98 | hep-th | null | We discuss a path integral formalism to introduce noncommutative
generalizations of spacetime manifold in even dimensions, which have been
suggested to be reasonable effective pictures at very small length scales, of
the order of Planck length.
| [
{
"created": "Thu, 22 Oct 1998 11:18:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mangano",
"Gianpiero",
""
]
] | We discuss a path integral formalism to introduce noncommutative generalizations of spacetime manifold in even dimensions, which have been suggested to be reasonable effective pictures at very small length scales, of the order of Planck length. |
2207.09471 | Maximilian Rupprecht | Olaf Lechtenfeld, Maximilian Rupprecht | Is the Nicolai map unique? | 1+18 pages + appendices; v2: some clarifications, matches published
version | null | 10.1007/JHEP09(2022)139 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Nicolai map is a field transformation that relates supersymmetric
theories at finite couplings $g$ with the free theory at $g=0$. It is obtained
via an ordered exponential of the coupling flow operator integrated from $0$ to
$g$. Allowing multiple couplings, we find that the map in general depends on
the chosen integration contour in coupling space. This induces a large
functional freedom in the construction of the Nicolai map, which cancels in all
correlator computations. Under a certain condition on the coupling flow
operator the ambiguity disappears, and the power-series expansion for the map
collapses to a linear function in the coupling. A special role is played by
topological (theta) couplings, which do not affect perturbative correlation
functions but also alter the Nicolai map. We demonstate that for certain
'magical' theta values the uniqueness condition holds, providing an exact map
polynomial in the fields and independent of the integration contour. This
feature is related to critical points of the Nicolai map and the existence of
'instantons'. As a toy model, we work with $\mathcal{N}=1$ supersymmetric
quantum mechanics. For a cubic superpotential and a theta term, we explicitly
compute the one-, two- and three-point correlation function to one-loop order
employing a graphical representation of the (inverse) Nicolai map in terms of
tree diagrams, confirming the cancellation of theta dependence. Comparison of
Nicolai and conventional Feynman perturbation theory nontrivially yields
complete agreement, but only after adding all (1PI and 1PR) contributions.
| [
{
"created": "Tue, 19 Jul 2022 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2022 08:27:05 GMT",
"version": "v2"
}
] | 2022-09-28 | [
[
"Lechtenfeld",
"Olaf",
""
],
[
"Rupprecht",
"Maximilian",
""
]
] | The Nicolai map is a field transformation that relates supersymmetric theories at finite couplings $g$ with the free theory at $g=0$. It is obtained via an ordered exponential of the coupling flow operator integrated from $0$ to $g$. Allowing multiple couplings, we find that the map in general depends on the chosen integration contour in coupling space. This induces a large functional freedom in the construction of the Nicolai map, which cancels in all correlator computations. Under a certain condition on the coupling flow operator the ambiguity disappears, and the power-series expansion for the map collapses to a linear function in the coupling. A special role is played by topological (theta) couplings, which do not affect perturbative correlation functions but also alter the Nicolai map. We demonstate that for certain 'magical' theta values the uniqueness condition holds, providing an exact map polynomial in the fields and independent of the integration contour. This feature is related to critical points of the Nicolai map and the existence of 'instantons'. As a toy model, we work with $\mathcal{N}=1$ supersymmetric quantum mechanics. For a cubic superpotential and a theta term, we explicitly compute the one-, two- and three-point correlation function to one-loop order employing a graphical representation of the (inverse) Nicolai map in terms of tree diagrams, confirming the cancellation of theta dependence. Comparison of Nicolai and conventional Feynman perturbation theory nontrivially yields complete agreement, but only after adding all (1PI and 1PR) contributions. |
2103.15810 | Yong Zhang | Song He, Linghui Hou, Jintian Tian and Yong Zhang | Kinematic numerators from the worldsheet: cubic trees from labelled
trees | An important typo corrected. References updated | null | 10.1007/JHEP08(2021)118 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we revisit the problem of explicitly computing tree-level
scattering amplitudes in various theories in any dimension from worldsheet
formulas. The latter are known to produce cubic-tree expansion of tree
amplitudes with kinematic numerators automatically satisfying
Jacobi-identities, once any half-integrand on the worldsheet is reduced to
logarithmic functions. We review a natural class of worldsheet functions called
"Cayley functions", which are in one-to-one correspondence with labelled trees,
and natural expansions of known half-integrands onto them with coefficients
that are particularly compact building blocks of kinematic numerators. We
present a general formula expressing kinematic numerators of all cubic trees as
linear combinations of coefficients of labelled trees, which satisfy Jacobi
identities by construction and include the usual combinations in terms of
master numerators as a special case. Our results provide an efficient
algorithm, which is implemented in a Mathematica package, for computing all
tree amplitudes in theories including non-linear sigma model, special Galileon,
Yang-Mills-scalar, Einstein-Yang-Mills and Dirac-Born-Infeld.
| [
{
"created": "Mon, 29 Mar 2021 17:58:49 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 2021 17:17:59 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Aug 2024 04:10:14 GMT",
"version": "v3"
}
] | 2024-08-14 | [
[
"He",
"Song",
""
],
[
"Hou",
"Linghui",
""
],
[
"Tian",
"Jintian",
""
],
[
"Zhang",
"Yong",
""
]
] | In this note we revisit the problem of explicitly computing tree-level scattering amplitudes in various theories in any dimension from worldsheet formulas. The latter are known to produce cubic-tree expansion of tree amplitudes with kinematic numerators automatically satisfying Jacobi-identities, once any half-integrand on the worldsheet is reduced to logarithmic functions. We review a natural class of worldsheet functions called "Cayley functions", which are in one-to-one correspondence with labelled trees, and natural expansions of known half-integrands onto them with coefficients that are particularly compact building blocks of kinematic numerators. We present a general formula expressing kinematic numerators of all cubic trees as linear combinations of coefficients of labelled trees, which satisfy Jacobi identities by construction and include the usual combinations in terms of master numerators as a special case. Our results provide an efficient algorithm, which is implemented in a Mathematica package, for computing all tree amplitudes in theories including non-linear sigma model, special Galileon, Yang-Mills-scalar, Einstein-Yang-Mills and Dirac-Born-Infeld. |
1506.03714 | Bayram Tekin | Kezban Tasseten, Bayram Tekin | Gravitomagnetism in Massive Gravity | 12 pages, 3 figures, reference added, v2 almost matches the published
version | Phys. Rev. D 93, 044068 (2016) | 10.1103/PhysRevD.93.044068 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive gravity in the weak field limit is described by the Fierz-Pauli
theory with 5 degrees of freedom in four dimensions. In this theory, we
calculate the gravitomagnetic effects (potential energy) between two
point-like, spinning sources that also orbit around each other in the limit
where the spins and the velocities are small. Spin-spin, spin-orbit and
orbit-orbit interactions in massive gravity theory have rather remarkable,
discrete differences from their counterparts in General Relativity. Our
computation is applicable for large distances, for example, for interaction
between galaxies or galaxy clusters where massive gravity is expected to play a
role. We also extend the computations to quadratic gravity theories in four
dimensions and find the lowest order gravitomagnetic effects and show that at
small separations quadratic gravity behaves differently than General
Relativity.
| [
{
"created": "Thu, 11 Jun 2015 15:43:12 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Feb 2016 10:46:00 GMT",
"version": "v2"
}
] | 2016-02-29 | [
[
"Tasseten",
"Kezban",
""
],
[
"Tekin",
"Bayram",
""
]
] | Massive gravity in the weak field limit is described by the Fierz-Pauli theory with 5 degrees of freedom in four dimensions. In this theory, we calculate the gravitomagnetic effects (potential energy) between two point-like, spinning sources that also orbit around each other in the limit where the spins and the velocities are small. Spin-spin, spin-orbit and orbit-orbit interactions in massive gravity theory have rather remarkable, discrete differences from their counterparts in General Relativity. Our computation is applicable for large distances, for example, for interaction between galaxies or galaxy clusters where massive gravity is expected to play a role. We also extend the computations to quadratic gravity theories in four dimensions and find the lowest order gravitomagnetic effects and show that at small separations quadratic gravity behaves differently than General Relativity. |
hep-th/0401100 | Ulf Lindstr\"om | Ulf Lindstrom | Generalized N=(2,2) Supersymmetric Non-Linear Sigma Models | 13 pages, Latex Minor corrections to agree with published version | Phys.Lett. B587 (2004) 216-224 | 10.1016/j.physletb.2004.03.014 | UUITP-02/04, HIP-2004-01/TH | hep-th | null | We rewrite the N=(2,2) non-linear sigma model using auxiliary spinorial
superfields defining the model on ${\cal T}\oplus^ *{\cal T}$, where ${\cal T}$
is the tangent bundle of the target space. This is motivated by possible
connections to Hitchin's generalized complex structures. We find the general
form of the second supersymmetry compatible with that of the original model.
| [
{
"created": "Wed, 14 Jan 2004 16:42:44 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Apr 2004 16:55:10 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Lindstrom",
"Ulf",
""
]
] | We rewrite the N=(2,2) non-linear sigma model using auxiliary spinorial superfields defining the model on ${\cal T}\oplus^ *{\cal T}$, where ${\cal T}$ is the tangent bundle of the target space. This is motivated by possible connections to Hitchin's generalized complex structures. We find the general form of the second supersymmetry compatible with that of the original model. |
hep-th/0109009 | Yao-Zhong Zhang | Xiang-Mao Ding, Mark D. Gould and Yao-Zhong Zhang | Twisted $sl(3, {\bf C})^{(2)}_k$ Current Algebra: Free Field
Representation and Screening Currents | LaTex file 12 pages; Final version for publication in Phys. Letts. B
(a couple of typos on page 7 have been corrected in this version) | Phys.Lett. B523 (2001) 367-376 | 10.1016/S0370-2693(01)01361-2 | null | hep-th math-ph math.MP math.QA | null | Motivated by applications of twisted current algebras in description of the
entropy of $Ads_3$ black hole, we investigate the simplest twisted current
algebra $sl(3,{\bf C})^{(2)}_k$. Free field representation of the twisted
algebra and the corresponding twisted Sugawara energy-momentum tensor are
obtained by using three $(\beta,\gamma)$ pairs and two scalar fields. Primary
fields and two screening currents of the first kind are presented.
| [
{
"created": "Mon, 3 Sep 2001 02:58:56 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2001 06:06:37 GMT",
"version": "v2"
},
{
"created": "Wed, 31 Oct 2001 07:09:31 GMT",
"version": "v3"
},
{
"created": "Thu, 15 Nov 2001 01:08:12 GMT",
"version": "v4"
}
] | 2009-11-07 | [
[
"Ding",
"Xiang-Mao",
""
],
[
"Gould",
"Mark D.",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] | Motivated by applications of twisted current algebras in description of the entropy of $Ads_3$ black hole, we investigate the simplest twisted current algebra $sl(3,{\bf C})^{(2)}_k$. Free field representation of the twisted algebra and the corresponding twisted Sugawara energy-momentum tensor are obtained by using three $(\beta,\gamma)$ pairs and two scalar fields. Primary fields and two screening currents of the first kind are presented. |
1009.3062 | Marcelo Guimaraes | M. A. L. Capri, A. J. Gomez, M. S. Guimaraes, V. E. R. Lemes, S. P.
Sorella, D. G. Tedesco | Constructing local composite operators for glueball states from a
confining Gribov propagator | 24 pages, 5 figures, version accepted for publication in the European
Physical Journal C | Eur.Phys.J.C71:1525,2011 | 10.1140/epjc/s10052-010-1525-x | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The construction of BRST invariant local operators with the quantum numbers
of the lightest glueball states, $J^{PC}= 0^{++}, 2^{++}, 0^{-+}$, is worked
out by making use of an Euclidean confining renormalizable gauge theory. The
correlation functions of these operators are evaluated by employing a confining
gluon propagator of the Gribov type and shown to display a spectral
representation with positive spectral densities. An attempt to provide a first
qualitative analysis of the ratios of the masses of the lightest glueballs is
also discussed
| [
{
"created": "Wed, 15 Sep 2010 23:34:37 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2010 22:37:06 GMT",
"version": "v2"
}
] | 2011-03-03 | [
[
"Capri",
"M. A. L.",
""
],
[
"Gomez",
"A. J.",
""
],
[
"Guimaraes",
"M. S.",
""
],
[
"Lemes",
"V. E. R.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Tedesco",
"D. G.",
""
]
] | The construction of BRST invariant local operators with the quantum numbers of the lightest glueball states, $J^{PC}= 0^{++}, 2^{++}, 0^{-+}$, is worked out by making use of an Euclidean confining renormalizable gauge theory. The correlation functions of these operators are evaluated by employing a confining gluon propagator of the Gribov type and shown to display a spectral representation with positive spectral densities. An attempt to provide a first qualitative analysis of the ratios of the masses of the lightest glueballs is also discussed |
hep-th/0504190 | Niklas Beisert | Niklas Beisert, Matthias Staudacher | Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings | 67 pages, In Honor of Hans Bethe, v2: references added, typos fixed,
sign conventions improved, v3: published version | Nucl.Phys.B727:1-62,2005 | 10.1016/j.nuclphysb.2005.06.038 | AEI-2005-092, PUTP-2159 | hep-th | null | We generalize various existing higher-loop Bethe ansaetze for simple sectors
of the integrable long-range dynamic spin chain describing planar N=4 Super
Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to
arbitrary loop order. We perform a large number of tests of our conjectured
equations, such as internal consistency, comparison to direct three-loop
diagonalization and expected thermodynamic behavior. In the special case of the
su(1|2) subsector, corresponding to a long-range t-J model, we are able to
derive, up to three loops, the S-matrix and the associated nested Bethe ansatz
from the gauge theory dilatation operator. We conjecture novel all-order
S-matrices for the su(1|2) and su(1,1|2) subsectors, and show that they satisfy
the Yang-Baxter equation. Throughout the paper, we muse about the idea that
quantum string theory on AdS_5xS^5 is also described by a psu(2,2|4) spin
chain. We propose asymptotic all-order Bethe equations for this putative
"string chain", which differ in a systematic fashion from the gauge theory
equations.
| [
{
"created": "Mon, 25 Apr 2005 13:01:27 GMT",
"version": "v1"
},
{
"created": "Mon, 30 May 2005 11:17:57 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Sep 2005 18:30:35 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Beisert",
"Niklas",
""
],
[
"Staudacher",
"Matthias",
""
]
] | We generalize various existing higher-loop Bethe ansaetze for simple sectors of the integrable long-range dynamic spin chain describing planar N=4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary loop order. We perform a large number of tests of our conjectured equations, such as internal consistency, comparison to direct three-loop diagonalization and expected thermodynamic behavior. In the special case of the su(1|2) subsector, corresponding to a long-range t-J model, we are able to derive, up to three loops, the S-matrix and the associated nested Bethe ansatz from the gauge theory dilatation operator. We conjecture novel all-order S-matrices for the su(1|2) and su(1,1|2) subsectors, and show that they satisfy the Yang-Baxter equation. Throughout the paper, we muse about the idea that quantum string theory on AdS_5xS^5 is also described by a psu(2,2|4) spin chain. We propose asymptotic all-order Bethe equations for this putative "string chain", which differ in a systematic fashion from the gauge theory equations. |
hep-th/0411145 | Nemani V. Suryanarayana | Nemani V. Suryanarayana | Half-BPS Giants, Free Fermions and Microstates of Superstars | 21 pages, v2:typos corrected and references added | JHEP0601:082,2006 | 10.1088/1126-6708/2006/01/082 | null | hep-th | null | We consider 1/2-BPS states in AdS/CFT. Using the matrix model description of
chiral primaries explicit mappings among configurations of fermions, giant
gravitons and the dual-giant gravitons are obtained. These maps lead to a
`duality' between the giant and the dual-giant configurations which is the
reflection of particle-hole duality of the fermion picture. These dualities
give rise to some interesting consequences which we study. We then calculate
the degeneracy of 1/2-BPS states both from the CFT and string theory and show
that they match. The asymptotic degeneracy grows exponentially with the
comformal dimension. We propose that the five-dimensional single charge
`superstar' geometry should carry this density of states. An appropriate
stretched horizon can be placed in this geometry and the entropy predicted by
the CFT and the string theory microstate counting can be reproduced by the
Bekenstein-Hawking formula up to a numerical coefficient. Similar M-theory
examples are also considered.
| [
{
"created": "Mon, 15 Nov 2004 20:21:46 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 2004 20:45:22 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Suryanarayana",
"Nemani V.",
""
]
] | We consider 1/2-BPS states in AdS/CFT. Using the matrix model description of chiral primaries explicit mappings among configurations of fermions, giant gravitons and the dual-giant gravitons are obtained. These maps lead to a `duality' between the giant and the dual-giant configurations which is the reflection of particle-hole duality of the fermion picture. These dualities give rise to some interesting consequences which we study. We then calculate the degeneracy of 1/2-BPS states both from the CFT and string theory and show that they match. The asymptotic degeneracy grows exponentially with the comformal dimension. We propose that the five-dimensional single charge `superstar' geometry should carry this density of states. An appropriate stretched horizon can be placed in this geometry and the entropy predicted by the CFT and the string theory microstate counting can be reproduced by the Bekenstein-Hawking formula up to a numerical coefficient. Similar M-theory examples are also considered. |
1812.07132 | Oleg Evnin | Oleg Evnin | Spectroscopy instead of scattering: particle experimentation in AdS
spacetime | an essay for the proceedings of HEPMAD18 | eConf C180906 (2018) | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | Particle experiments are difficult at weak coupling because interactions are
rare and a huge number of collision attempts are needed to attain significant
precision. One often hears that "one Higgs boson is produced in a billion of
collisions at LHC." In this essay, we fantasize about possible advantages
afforded in this regard by performing experiments in anti-de Sitter (AdS)
spacetime instead of a usual collider in a nearly-flat spacetime. Being a
perfectly resonant cavity, the AdS spacetime enhances all nonlinear
interactions, which therefore produce effects of order one no matter how small
the couplings are, provided that one waits long enough. These effects are
encoded in spectroscopic data, namely, the fine splittings of the energy levels
which would have been highly degenerate in AdS if no interactions were present.
Over long times, such energy shifts let different components of wavefunctions
drift completely out-of-phase, producing large effects for arbitrarily small
interactions.
| [
{
"created": "Tue, 18 Dec 2018 01:49:34 GMT",
"version": "v1"
}
] | 2019-03-07 | [
[
"Evnin",
"Oleg",
""
]
] | Particle experiments are difficult at weak coupling because interactions are rare and a huge number of collision attempts are needed to attain significant precision. One often hears that "one Higgs boson is produced in a billion of collisions at LHC." In this essay, we fantasize about possible advantages afforded in this regard by performing experiments in anti-de Sitter (AdS) spacetime instead of a usual collider in a nearly-flat spacetime. Being a perfectly resonant cavity, the AdS spacetime enhances all nonlinear interactions, which therefore produce effects of order one no matter how small the couplings are, provided that one waits long enough. These effects are encoded in spectroscopic data, namely, the fine splittings of the energy levels which would have been highly degenerate in AdS if no interactions were present. Over long times, such energy shifts let different components of wavefunctions drift completely out-of-phase, producing large effects for arbitrarily small interactions. |
hep-th/0607208 | Michael Wohlgenannt | Harald Grosse and Michael Wohlgenannt | Noncommutative QFT and Renormalization | To appear in the proceedings of the Workshop "Noncommutative Geometry
in Field and String Theory", Corfu, 2005 (Greece) | J.Phys.Conf.Ser.53:764-792,2006 | 10.1088/1742-6596/53/1/050 | UWThPh-2006-14 | hep-th | null | Field theories on deformed spaces suffer from the IR/UV mixing and
renormalization is generically spoiled. In work with R. Wulkenhaar, one of us
realized a way to cure this disease by adding one more marginal operator. We
review these ideas, show the application to $\phi^3$ models and use the heat
kernel expansion methods for a scalar field theory coupled to an external gauge
field on a $\theta$-deformed space and derive noncommutative gauge field
actions.
| [
{
"created": "Wed, 26 Jul 2006 08:38:34 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Grosse",
"Harald",
""
],
[
"Wohlgenannt",
"Michael",
""
]
] | Field theories on deformed spaces suffer from the IR/UV mixing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this disease by adding one more marginal operator. We review these ideas, show the application to $\phi^3$ models and use the heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a $\theta$-deformed space and derive noncommutative gauge field actions. |
0806.4460 | Takuya Tsukioka | Xian-Hui Ge, Yoshinori Matsuo, Fu-Wen Shu, Sang-Jin Sin and Takuya
Tsukioka | Density Dependence of Transport Coefficients from Holographic
Hydrodynamics | LaTeX, 1+33 pages, 6 figures, references added | Prog.Theor.Phys.120:833-863,2008 | 10.1143/PTP.120.833 | APCTP-Pre2008-002 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the transport coefficients of Quark-Gluon-Plasma in finite
temperature and finite baryon density. We use AdS/QCD of charged AdS black hole
background with bulk-filling branes identifying the U(1) charge as the baryon
number. We calculate the diffusion constant, the shear viscosity and the
thermal conductivity to plot their density and temperature dependences.
Hydrodynamic relations between those are shown to hold exactly. The diffusion
constant and the shear viscosity are decreasing as a function of density for
fixed total energy. For fixed temperature, the fluid becomes less diffusible
and more viscous for larger baryon density.
| [
{
"created": "Fri, 27 Jun 2008 08:48:28 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jul 2008 06:11:33 GMT",
"version": "v2"
}
] | 2008-12-25 | [
[
"Ge",
"Xian-Hui",
""
],
[
"Matsuo",
"Yoshinori",
""
],
[
"Shu",
"Fu-Wen",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Tsukioka",
"Takuya",
""
]
] | We study the transport coefficients of Quark-Gluon-Plasma in finite temperature and finite baryon density. We use AdS/QCD of charged AdS black hole background with bulk-filling branes identifying the U(1) charge as the baryon number. We calculate the diffusion constant, the shear viscosity and the thermal conductivity to plot their density and temperature dependences. Hydrodynamic relations between those are shown to hold exactly. The diffusion constant and the shear viscosity are decreasing as a function of density for fixed total energy. For fixed temperature, the fluid becomes less diffusible and more viscous for larger baryon density. |
hep-th/9902181 | Pesando Igor | Igor Pesando | On the Effective Potential of the Dp- anti Dp system in type II theories | latex2e, 1+19 pages Corrected typos. Added criticisms to the previous
interpration of the results and a new interpretation | Mod.Phys.Lett. A14 (1999) 1545-1564 | 10.1142/S0217732399001644 | DFTT-7/99 | hep-th | null | We compute the effective potential of a system composed by a Dp brane and a
separated anti-Dp brane at tree level in string theory. We show explicitly that
the tachyon condenses and that the scalars which describe transverse
fluctuations acquire a VEV proportional to the distance.
| [
{
"created": "Wed, 24 Feb 1999 22:36:17 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Mar 1999 20:36:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Pesando",
"Igor",
""
]
] | We compute the effective potential of a system composed by a Dp brane and a separated anti-Dp brane at tree level in string theory. We show explicitly that the tachyon condenses and that the scalars which describe transverse fluctuations acquire a VEV proportional to the distance. |
1902.03632 | Dmitry Ageev | Dmitry S. Ageev | Holographic complexity of local quench at finite temperature | 17 pp., 5 figs; v2:ref. added, minor corrections | Phys. Rev. D 100, 126005 (2019) | 10.1103/PhysRevD.100.126005 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is devoted to the study of the evolution of holographic complexity
after a local perturbation of the system at finite temperature. We calculate
the complexity using both the complexity=action(CA) and the
complexity=volume(CA) conjectures and find that the CV complexity of the total
state shows the unbounded late time linear growth. The CA computation shows
linear growth with fast saturation to a constant value. We estimate the CV and
CA complexity linear growth coefficients and show, that finite temperature
leads to violation of the Lloyd bound for CA complexity. Also it is shown that
for composite system after the local quench the state with minimal entanglement
may correspond to the maximal complexity.
| [
{
"created": "Sun, 10 Feb 2019 17:15:35 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Apr 2019 19:07:00 GMT",
"version": "v2"
}
] | 2019-12-11 | [
[
"Ageev",
"Dmitry S.",
""
]
] | This paper is devoted to the study of the evolution of holographic complexity after a local perturbation of the system at finite temperature. We calculate the complexity using both the complexity=action(CA) and the complexity=volume(CA) conjectures and find that the CV complexity of the total state shows the unbounded late time linear growth. The CA computation shows linear growth with fast saturation to a constant value. We estimate the CV and CA complexity linear growth coefficients and show, that finite temperature leads to violation of the Lloyd bound for CA complexity. Also it is shown that for composite system after the local quench the state with minimal entanglement may correspond to the maximal complexity. |
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