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/9612204 | George Papadopoulos | M.S. Costa and G. Papadopoulos | Superstring dualities and p-brane bound states | 21 pages, Phyzzx, Minor corrections, Version that will appear in
Nucl. Phys. B | Nucl.Phys.B510:217-231,1998 | 10.1016/S0550-3213(97)00642-1 | DAMTP-R/60 | hep-th | null | We show that the M-theory/IIA and IIA/IIB superstring dualities together with
the diffeomorphism invariance of the underlying theories require the presence
of certain p-brane bound states in IIA and IIB superstring theories preserving
1/2 of the spacetime supersymmetry. We then confirm the existence of IIA and
IIB supergravity solutions having the appropriate p-brane bound states
interpretation.
| [
{
"created": "Thu, 19 Dec 1996 15:57:58 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 1997 13:15:37 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Costa",
"M. S.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We show that the M-theory/IIA and IIA/IIB superstring dualities together with the diffeomorphism invariance of the underlying theories require the presence of certain p-brane bound states in IIA and IIB superstring theories preserving 1/2 of the spacetime supersymmetry. We then confirm the existence of IIA and IIB supergravity solutions having the appropriate p-brane bound states interpretation. |
1601.05852 | Yu-Xiao Liu | Yu-Peng Zhang, Yun-Zhi Du, Wen-Di Guo, Yu-Xiao Liu | Resonance spectrum of a bulk fermion on branes | 14 pages, 18 figures | Phys. Rev. D 93, 065042 (2016) | 10.1103/PhysRevD.93.065042 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that there are two mechanisms for localizing a bulk fermion on a
brane, one is the well-known Yukawa coupling and the other is the new coupling
proposed in [Phys. Rev. D 89, 086001 (2014)]. In this paper, we investigate
localization and resonance spectrum of a bulk fermion on the same branes with
the two localization mechanisms. It is found that both the two mechanisms can
result in a volcano-like effective potential of the fermion Kaluza-Klein modes.
The left-chiral fermion zero mode can be localized on the brane and there exist
some discrete massive fermion Kaluza-Klein modes that quasilocalized on the
brane (also called fermion resonances). The number of the fermion resonances
increases linearly with the coupling parameter.
| [
{
"created": "Fri, 22 Jan 2016 01:25:11 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Mar 2016 02:07:37 GMT",
"version": "v2"
}
] | 2016-04-06 | [
[
"Zhang",
"Yu-Peng",
""
],
[
"Du",
"Yun-Zhi",
""
],
[
"Guo",
"Wen-Di",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] | It is known that there are two mechanisms for localizing a bulk fermion on a brane, one is the well-known Yukawa coupling and the other is the new coupling proposed in [Phys. Rev. D 89, 086001 (2014)]. In this paper, we investigate localization and resonance spectrum of a bulk fermion on the same branes with the two localization mechanisms. It is found that both the two mechanisms can result in a volcano-like effective potential of the fermion Kaluza-Klein modes. The left-chiral fermion zero mode can be localized on the brane and there exist some discrete massive fermion Kaluza-Klein modes that quasilocalized on the brane (also called fermion resonances). The number of the fermion resonances increases linearly with the coupling parameter. |
2207.02374 | Konglong Wu | Yi-Jian Du, Konglong Wu | Note on graph-based BCJ relation for Berends-Giele currents | revised version | null | 10.1007/JHEP12(2022)080 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Graph-based Bern-Carasso-Johansson (BCJ) relation for Berends-Giele currents
in bi-adjoint scalar (BS) theory, which is characterized by connected tree
graphs, was proposed in an earlier work. In this note, we provide a systematic
study of this relation. We first prove the relations based on two special types
of graphs: simple chains and star graphs. The general graph-based BCJ relation
established by an arbitrary tree graph is further proved, through Berends-Giele
recursion. When combined with proper off-shell extended numerators, this
relation induces the graph-based BCJ relation for Berends-Giele currents in
Yang-Mills theory. The corresponding relations for amplitudes are obtained via
on-shell limits.
| [
{
"created": "Wed, 6 Jul 2022 00:38:20 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jul 2022 10:26:18 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Oct 2022 07:53:21 GMT",
"version": "v3"
}
] | 2022-12-28 | [
[
"Du",
"Yi-Jian",
""
],
[
"Wu",
"Konglong",
""
]
] | Graph-based Bern-Carasso-Johansson (BCJ) relation for Berends-Giele currents in bi-adjoint scalar (BS) theory, which is characterized by connected tree graphs, was proposed in an earlier work. In this note, we provide a systematic study of this relation. We first prove the relations based on two special types of graphs: simple chains and star graphs. The general graph-based BCJ relation established by an arbitrary tree graph is further proved, through Berends-Giele recursion. When combined with proper off-shell extended numerators, this relation induces the graph-based BCJ relation for Berends-Giele currents in Yang-Mills theory. The corresponding relations for amplitudes are obtained via on-shell limits. |
0911.5360 | Flavio Mercati | Giovanni Amelino-Camelia, Leonardo Gualtieri, Flavio Mercati | Threshold anomalies in Horava-Lifshitz-type theories | LaTex, 6 pages | Phys.Lett.B686:283-287,2010 | 10.1016/j.physletb.2010.02.057 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently the study of threshold kinematic requirements for
particle-production processes has played a very significant role in the
phenomenology of theories with departures from Poincare' symmetry. We here
specialize these threshold studies to the case of a class of violations of
Poincare' symmetry which has been much discussed in the literature on
Horava-Lifshitz scenarios. These involve modifications of the energy-momentum
("dispersion") relation that may be different for different types of particles,
but always involve even powers of energy-momentum in the correction terms. We
establish the requirements for compatibility with the observed cosmic-ray
spectrum, which is sensitive to the photopion-production threshold. We find
that the implications for the electron-positron pair-production threshold are
rather intriguing, in light of some recent studies of TeV emissions by Blazars.
Our findings should also provide motivation for examining the fate of the law
of energy-momentum conservation in Horava-Lifshitz-type theories.
| [
{
"created": "Sun, 29 Nov 2009 15:32:51 GMT",
"version": "v1"
}
] | 2010-04-23 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Gualtieri",
"Leonardo",
""
],
[
"Mercati",
"Flavio",
""
]
] | Recently the study of threshold kinematic requirements for particle-production processes has played a very significant role in the phenomenology of theories with departures from Poincare' symmetry. We here specialize these threshold studies to the case of a class of violations of Poincare' symmetry which has been much discussed in the literature on Horava-Lifshitz scenarios. These involve modifications of the energy-momentum ("dispersion") relation that may be different for different types of particles, but always involve even powers of energy-momentum in the correction terms. We establish the requirements for compatibility with the observed cosmic-ray spectrum, which is sensitive to the photopion-production threshold. We find that the implications for the electron-positron pair-production threshold are rather intriguing, in light of some recent studies of TeV emissions by Blazars. Our findings should also provide motivation for examining the fate of the law of energy-momentum conservation in Horava-Lifshitz-type theories. |
1712.00412 | Andrei Onishchenko | R.N. Lee and A.I. Onishchenko | ABJM quantum spectral curve and Mellin transform | 33 pages, typos corrected and clarifications added | null | 10.1007/JHEP05(2018)179 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The present techniques for the perturbative solution of quantum spectral
curve problems in N=4 SYM and ABJM models are limited to the situation when the
states quantum numbers are given explicitly as some integer numbers. These
techniques are sufficient to recover full analytical structure of the conserved
charges provided that we know a finite basis of functions in terms of which
they could be written explicitly. It is known that in the case of N=4 SYM both
the contributions of asymptotic Bethe ansatz and wrapping or finite size
corrections are expressed in terms of the harmonic sums. However, in the case
of ABJM model only the asymptotic contribution can still be written in the
harmonic sums basis, while the wrapping corrections part can not. Moreover, the
generalization of harmonic sums basis for this problem is not known. In this
paper we present a Mellin space technique for the solution of multiloop Baxter
equations, which is the main ingredient for the solution of corresponding
quantum spectral problems, and provide explicit results for the solution of
ABJM quantum spectral curve in the case of twist 1 operators in sl(2) sector
for arbitrary spin values up to four loop order with explicit account for
wrapping corrections. It is shown that the result for anomalous dimensions
could be expressed in terms of harmonic sums decorated by the fourth root of
unity factors, so that maximum transcendentality principle holds.
| [
{
"created": "Fri, 1 Dec 2017 17:21:21 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Jul 2018 20:19:23 GMT",
"version": "v2"
}
] | 2018-07-17 | [
[
"Lee",
"R. N.",
""
],
[
"Onishchenko",
"A. I.",
""
]
] | The present techniques for the perturbative solution of quantum spectral curve problems in N=4 SYM and ABJM models are limited to the situation when the states quantum numbers are given explicitly as some integer numbers. These techniques are sufficient to recover full analytical structure of the conserved charges provided that we know a finite basis of functions in terms of which they could be written explicitly. It is known that in the case of N=4 SYM both the contributions of asymptotic Bethe ansatz and wrapping or finite size corrections are expressed in terms of the harmonic sums. However, in the case of ABJM model only the asymptotic contribution can still be written in the harmonic sums basis, while the wrapping corrections part can not. Moreover, the generalization of harmonic sums basis for this problem is not known. In this paper we present a Mellin space technique for the solution of multiloop Baxter equations, which is the main ingredient for the solution of corresponding quantum spectral problems, and provide explicit results for the solution of ABJM quantum spectral curve in the case of twist 1 operators in sl(2) sector for arbitrary spin values up to four loop order with explicit account for wrapping corrections. It is shown that the result for anomalous dimensions could be expressed in terms of harmonic sums decorated by the fourth root of unity factors, so that maximum transcendentality principle holds. |
2112.08316 | Bingnan Zhang | Tom Banks and Bingnan Zhang | Lattice BF Theory, Dumbbells, and Composite Fermions | null | null | 10.1016/j.nuclphysb.2022.115877 | null | hep-th cond-mat.str-el hep-lat | http://creativecommons.org/licenses/by/4.0/ | We formulate $U(1)$ $bda$ Chern-Simons theory, which is also called BF
theory, on a lattice, adapting a method proposed by Kantor and Susskind for the
groups $\mathbb{R}$ and $\mathbb{Z}_N$. Our method applies to any finite or
infinite abelian group. We study the discrete symmetries and use the model to
provide a rigorous treatment of the composite fermion theory of the fractional
quantum Hall effect (FQHE), with no ambiguities relating to intersecting
Wilson/'t Hooft lines. We derive Jain's fractions, and one can also calculate
corrections to the mean field solution within this framework. We also
generalize the formalism to higher form gauge models in arbitrary dimension,
and suggest a possible non-Abelian extension.
| [
{
"created": "Wed, 15 Dec 2021 18:06:52 GMT",
"version": "v1"
}
] | 2022-07-20 | [
[
"Banks",
"Tom",
""
],
[
"Zhang",
"Bingnan",
""
]
] | We formulate $U(1)$ $bda$ Chern-Simons theory, which is also called BF theory, on a lattice, adapting a method proposed by Kantor and Susskind for the groups $\mathbb{R}$ and $\mathbb{Z}_N$. Our method applies to any finite or infinite abelian group. We study the discrete symmetries and use the model to provide a rigorous treatment of the composite fermion theory of the fractional quantum Hall effect (FQHE), with no ambiguities relating to intersecting Wilson/'t Hooft lines. We derive Jain's fractions, and one can also calculate corrections to the mean field solution within this framework. We also generalize the formalism to higher form gauge models in arbitrary dimension, and suggest a possible non-Abelian extension. |
1203.0397 | Paul M. Saffin | Paul M. Saffin | The covariance of multi-field perturbations, pseudo-susy and f_NL | 22 pages, 2 figures. Replaced with Journal version | JCAP 1209 (2012) 002 | 10.1088/1475-7516/2012/09/002 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider cosmological perturbation theory for multi-component scalars,
enforcing covariance in field-space, and ensuring that phyical observations are
independent of field re-definitions. We use the formalism to clarify some
issues in the literature, and use pseudo-supersymmetry to derive exact
expressions for terms of interest.
| [
{
"created": "Fri, 2 Mar 2012 09:13:55 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Apr 2013 13:12:24 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Saffin",
"Paul M.",
""
]
] | We reconsider cosmological perturbation theory for multi-component scalars, enforcing covariance in field-space, and ensuring that phyical observations are independent of field re-definitions. We use the formalism to clarify some issues in the literature, and use pseudo-supersymmetry to derive exact expressions for terms of interest. |
1107.2887 | Ashok Das | Ashok Das and J. Frenkel | The thermal chiral anomaly in the Schwinger model | RevTex 5 pages | null | 10.1016/j.physletb.2011.08.073 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the Schwinger model at finite temperature, we derive a closed form result
for the chiral anomaly which arises from the long distance behavior of the
electric field \cite{frenkel}. We discuss the general properties associated
with this thermal anomaly as well as its relation with the "index" of the Dirac
operator. We further show that the thermal anomaly, like the zero temperature
anomaly which arises from the ultraviolet behavior of the theory, does not
receive any contribution from higher loops. Finally, we determine the complete
effective action as well as the anomaly functional on both the thermal branches
in the closed time path formalism.
| [
{
"created": "Thu, 14 Jul 2011 18:34:33 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Das",
"Ashok",
""
],
[
"Frenkel",
"J.",
""
]
] | In the Schwinger model at finite temperature, we derive a closed form result for the chiral anomaly which arises from the long distance behavior of the electric field \cite{frenkel}. We discuss the general properties associated with this thermal anomaly as well as its relation with the "index" of the Dirac operator. We further show that the thermal anomaly, like the zero temperature anomaly which arises from the ultraviolet behavior of the theory, does not receive any contribution from higher loops. Finally, we determine the complete effective action as well as the anomaly functional on both the thermal branches in the closed time path formalism. |
hep-th/9811048 | Edward Witten | Sergei Gukov, Mukund Rangamani, and Edward Witten | Dibaryons, Branes, And Strings In AdS Orbifold Models | 22 pp, clarification added | JHEP 9812:025,1998 | 10.1088/1126-6708/1998/12/025 | null | hep-th | null | A generalization of the Maldacena conjecture asserts that Type IIB string
theory on $\S^5/\Z_3$ is equivalent to a certain supersymmetric $SU(N)^3$ gauge
theory with bifundamental matter. To test this assertion, we analyze the
wrapped branes on $\S^5/\Z_3$ and their interpretation in terms of gauge
theory. The wrapped branes are interpreted in some cases as baryons or
dibaryons of the gauge theory and in other cases as strings around which there
is a global monodromy. In order to successfully match the brane analysis with
field theory, we must uncover some aspects of $S$-duality which are novel even
in the case of four-dimensional free field theory.
| [
{
"created": "Thu, 5 Nov 1998 03:44:44 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Nov 1998 18:40:24 GMT",
"version": "v2"
}
] | 2010-04-07 | [
[
"Gukov",
"Sergei",
""
],
[
"Rangamani",
"Mukund",
""
],
[
"Witten",
"Edward",
""
]
] | A generalization of the Maldacena conjecture asserts that Type IIB string theory on $\S^5/\Z_3$ is equivalent to a certain supersymmetric $SU(N)^3$ gauge theory with bifundamental matter. To test this assertion, we analyze the wrapped branes on $\S^5/\Z_3$ and their interpretation in terms of gauge theory. The wrapped branes are interpreted in some cases as baryons or dibaryons of the gauge theory and in other cases as strings around which there is a global monodromy. In order to successfully match the brane analysis with field theory, we must uncover some aspects of $S$-duality which are novel even in the case of four-dimensional free field theory. |
1404.4773 | Valerio Astuti | Giovanni Amelino-Camelia and Valerio Astuti | Misleading inferences from discretization of empty spacetime:
Snyder-noncommutativity case study | 6 pages | null | 10.1142/S021827181550073X | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Alternative approaches to the study of the quantum-gravity problem are
handling the role of spacetime very differently. Some are focusing on the
analysis of one or another novel formulation of "empty spacetime", postponing
to later stages the introduction of particles and fields, while other
approaches assume that spacetime should only be an emergent entity. We here
argue that recent progress in the covariant formulation of quantum mechanics
suggests that empty spacetime is not physically meaningful. We illustrate our
general thesis in the specific context of the noncommutative Snyder spacetime,
which is also of some intrinsic interest, since hundreds of studies were
devoted to its analysis. We show that empty Snyder spacetime, described in
terms of a suitable kinematical Hilbert space, is discrete, but this is only a
formal artifact: the discreteness leaves no trace on the observable properties
of particles on the physical Hilbert space.
| [
{
"created": "Fri, 18 Apr 2014 12:51:16 GMT",
"version": "v1"
}
] | 2015-08-26 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Astuti",
"Valerio",
""
]
] | Alternative approaches to the study of the quantum-gravity problem are handling the role of spacetime very differently. Some are focusing on the analysis of one or another novel formulation of "empty spacetime", postponing to later stages the introduction of particles and fields, while other approaches assume that spacetime should only be an emergent entity. We here argue that recent progress in the covariant formulation of quantum mechanics suggests that empty spacetime is not physically meaningful. We illustrate our general thesis in the specific context of the noncommutative Snyder spacetime, which is also of some intrinsic interest, since hundreds of studies were devoted to its analysis. We show that empty Snyder spacetime, described in terms of a suitable kinematical Hilbert space, is discrete, but this is only a formal artifact: the discreteness leaves no trace on the observable properties of particles on the physical Hilbert space. |
1510.05973 | Amir Masoud Ghezelbash | A. M. Ghezelbash | Gravitational Perturbation and Kerr/CFT Correspondence | 24 pages, typos corrected | Gen. Relativ. Gravit. (2016) 48:102 | 10.1007/s10714-016-2085-7 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the explicit form of two-point function for the conformal spin-2
energy momentum operators on the near horizon of a near extremal Kerr black
hole by variation of a proper boundary action. In this regard, we consider an
appropriate boundary action for the gravitational perturbation of the Kerr
black hole. We show that the variation of the boundary action with respect to
the boundary fields yields the two-point function for the energy momentum
tensor of a conformal field theory. We find agreement between the two-point
function and the correlators of the dual conformal field theory to the Kerr
black hole.
| [
{
"created": "Tue, 20 Oct 2015 17:19:39 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Nov 2015 19:33:45 GMT",
"version": "v2"
}
] | 2017-01-10 | [
[
"Ghezelbash",
"A. M.",
""
]
] | We find the explicit form of two-point function for the conformal spin-2 energy momentum operators on the near horizon of a near extremal Kerr black hole by variation of a proper boundary action. In this regard, we consider an appropriate boundary action for the gravitational perturbation of the Kerr black hole. We show that the variation of the boundary action with respect to the boundary fields yields the two-point function for the energy momentum tensor of a conformal field theory. We find agreement between the two-point function and the correlators of the dual conformal field theory to the Kerr black hole. |
1411.6213 | Jia-Rui Sun | Song He, Jia-Rui Sun and Hai-Qing Zhang | On Holographic Entanglement Entropy with Second Order Excitations | 25 pages, more discussions on validity of the 1st law-like relation
at 2nd order added, references added | Nuclear Physics B 928 (2018) 160 | 10.1016/j.nuclphysb.2018.01.015 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the low-energy corrections to the holographic entanglement entropy
(HEE) in the boundary CFT by perturbing the bulk geometry up to second order
excitations. Focusing on the case that the boundary subsystem is a strip, we
show that the area of the bulk minimal surface can be expanded in terms of the
conserved charges, such as mass, angular momentum and electric charge of the
AdS black brane. We also calculate the variation of the energy in the subsystem
and verify the validity of the first law-like relation of thermodynamics at
second order. Moreover, the HEE is naturally bounded at second order
perturbations if the cosmic censorship conjecture for the dual black hole still
holds.
| [
{
"created": "Sun, 23 Nov 2014 08:50:38 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Jun 2015 06:50:26 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Nov 2016 04:07:45 GMT",
"version": "v3"
}
] | 2018-01-30 | [
[
"He",
"Song",
""
],
[
"Sun",
"Jia-Rui",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | We study the low-energy corrections to the holographic entanglement entropy (HEE) in the boundary CFT by perturbing the bulk geometry up to second order excitations. Focusing on the case that the boundary subsystem is a strip, we show that the area of the bulk minimal surface can be expanded in terms of the conserved charges, such as mass, angular momentum and electric charge of the AdS black brane. We also calculate the variation of the energy in the subsystem and verify the validity of the first law-like relation of thermodynamics at second order. Moreover, the HEE is naturally bounded at second order perturbations if the cosmic censorship conjecture for the dual black hole still holds. |
hep-th/9808134 | Alexander Gorsky | A.Gorsky | Towards the low energy effective degrees of freedom in N=2 SUSY
theories: branes and integrability | 10 pages, Latex, talk given at "Quarks-98", Suzdal, May 98 | null | null | null | hep-th | null | We discuss the brane interpretation of the integrable dynamics behind the
exact solution to the N=2 SUSY YM theory. Degrees of freedom in the first
integrable system responsible for the spectral Riemann surfaces comes from the
hidden Higgs branch of the moduli space. The second integrable system of the
Whitham type yields the dynamics on the Coulomb branch and can be considered as
the scattering of branes.
| [
{
"created": "Fri, 21 Aug 1998 09:22:08 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gorsky",
"A.",
""
]
] | We discuss the brane interpretation of the integrable dynamics behind the exact solution to the N=2 SUSY YM theory. Degrees of freedom in the first integrable system responsible for the spectral Riemann surfaces comes from the hidden Higgs branch of the moduli space. The second integrable system of the Whitham type yields the dynamics on the Coulomb branch and can be considered as the scattering of branes. |
0910.4408 | J. C. Lopez-Dominguez | J. C. L\'opez-Dom\'inguez, O. Obreg\'on and S. Zacar\'ias | Towards a Supersymmetric Generalization of the Schwarzschild Black Hole | 20 pages, REVTeX4, Accepted to be published in Physical Review D | Phys.Rev.D80:104020,2009 | 10.1103/PhysRevD.80.104020 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Wheeler-DeWitt (WDW) equation for the Kantowski-Sachs model can also be
understood as the WDW-equation corresponding to the Schwarzschild black hole
due to the well known diffeomorphism between these two metrics. The
WDW-equation and its solutions are ``ignorant'' of the coordinate patch one is
using, only by imposing coordinate conditions we can differentiate between
cosmological and black hole models. At that point, the foliation parameter $t$
or $r$ will appear in the solution of interest. In this work we supersymmetrize
this WDW-equation obtaining an extra term in the potential with two possible
signs. The WKB method is then applied, given rise to two classical equations.
It is shown that the event horizon can never be reached because, very near to
it the extra term in the potential, for each one of the equations, is more
relevant than the one that corresponds to Schwarzschild. One can then study the
asymptotic cases in which one of the two terms in the Hamiltonian dominates the
behavior. One of them corresponds to the usual Schwarzschild black hole. We
will study here the other two asymptotic regions; they provide three solutions.
All of them have a singularity in $r=0$ and depending on an integration
constant $C$ they can also present a singularity in $r=C^2$. Neither of these
solutions have a Newtonian limit. The black hole solution we study is analyzed
between the singularity $r=C^2$ and a maximum radius $r_m$. We find an
associated mass, considering the related cosmological solution inside $r=C^2$,
and based on the holographic principle an entropy can be assigned to this
asymptotic solution.
| [
{
"created": "Thu, 22 Oct 2009 22:08:52 GMT",
"version": "v1"
}
] | 2010-02-24 | [
[
"López-Domínguez",
"J. C.",
""
],
[
"Obregón",
"O.",
""
],
[
"Zacarías",
"S.",
""
]
] | The Wheeler-DeWitt (WDW) equation for the Kantowski-Sachs model can also be understood as the WDW-equation corresponding to the Schwarzschild black hole due to the well known diffeomorphism between these two metrics. The WDW-equation and its solutions are ``ignorant'' of the coordinate patch one is using, only by imposing coordinate conditions we can differentiate between cosmological and black hole models. At that point, the foliation parameter $t$ or $r$ will appear in the solution of interest. In this work we supersymmetrize this WDW-equation obtaining an extra term in the potential with two possible signs. The WKB method is then applied, given rise to two classical equations. It is shown that the event horizon can never be reached because, very near to it the extra term in the potential, for each one of the equations, is more relevant than the one that corresponds to Schwarzschild. One can then study the asymptotic cases in which one of the two terms in the Hamiltonian dominates the behavior. One of them corresponds to the usual Schwarzschild black hole. We will study here the other two asymptotic regions; they provide three solutions. All of them have a singularity in $r=0$ and depending on an integration constant $C$ they can also present a singularity in $r=C^2$. Neither of these solutions have a Newtonian limit. The black hole solution we study is analyzed between the singularity $r=C^2$ and a maximum radius $r_m$. We find an associated mass, considering the related cosmological solution inside $r=C^2$, and based on the holographic principle an entropy can be assigned to this asymptotic solution. |
hep-th/9605088 | null | Alan Kostelecky and Rob Potting | Expectation Values, Lorentz Invariance, and CPT in the Open Bosonic
String | accepted for publication in Physics Letters B | Phys.Lett.B381:89-96,1996 | 10.1016/0370-2693(96)00589-8 | IUHET 319, October 1995 | hep-th | null | The issue of spontaneous breaking of Lorentz and CPT invariance is studied in
the open bosonic string using a truncation scheme to saturate the string-field
action at successively higher levels. We find strong evidence for the existence
of extrema of the action with nonzero expectation values for certain fields.
The Lorentz- and CPT-preserving solution previously suggested in the literature
is confirmed through level 12 in the action. A family of Lorentz-breaking,
CPT-preserving solutions of the equations of motion is found to persist and
converge through level 18 in the action. Two sequences of solutions
spontaneously breaking both Lorentz invariance and CPT are discussed. The
analysis at this level involves the analytical form of over 20,000 terms in the
static potential.
| [
{
"created": "Mon, 13 May 1996 11:19:23 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Kostelecky",
"Alan",
""
],
[
"Potting",
"Rob",
""
]
] | The issue of spontaneous breaking of Lorentz and CPT invariance is studied in the open bosonic string using a truncation scheme to saturate the string-field action at successively higher levels. We find strong evidence for the existence of extrema of the action with nonzero expectation values for certain fields. The Lorentz- and CPT-preserving solution previously suggested in the literature is confirmed through level 12 in the action. A family of Lorentz-breaking, CPT-preserving solutions of the equations of motion is found to persist and converge through level 18 in the action. Two sequences of solutions spontaneously breaking both Lorentz invariance and CPT are discussed. The analysis at this level involves the analytical form of over 20,000 terms in the static potential. |
1409.4498 | Carlos A. S. Almeida | Victor Santos, C. A. S. Silva, and C. A. S. Almeida | A note on the fuzzy sphere area spectrum, black hole luminosity, and the
quantum nature of spacetime | 14 pages, 2 figures | null | 10.1209/0295-5075/110/30003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-commutative corrections to the classical expression for the fuzzy sphere
area are found out through the asymptotic expansion for its heat kernel trace.
As an important consequence, some quantum gravity deviations in the luminosity
of black holes must appear. We calculate these deviations for a static,
spherically symmetric, black-hole with a horizon modeled by a fuzzy sphere. The
results obtained could be verified through the radiation of black holes formed
in the Large Hadron Collider (LHC).
| [
{
"created": "Tue, 16 Sep 2014 04:07:19 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Santos",
"Victor",
""
],
[
"Silva",
"C. A. S.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | Non-commutative corrections to the classical expression for the fuzzy sphere area are found out through the asymptotic expansion for its heat kernel trace. As an important consequence, some quantum gravity deviations in the luminosity of black holes must appear. We calculate these deviations for a static, spherically symmetric, black-hole with a horizon modeled by a fuzzy sphere. The results obtained could be verified through the radiation of black holes formed in the Large Hadron Collider (LHC). |
1311.2519 | Fernando Tadeu Caldeira Brandt | F. T. Brandt, J. Frenkel and J. B. Siqueira | QED plasma in a background of static gravitational fields | Revised version to be published in Phys. Rev. D (9 pages, 4 figures) | null | 10.1103/PhysRevD.89.045011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain the effective Lagrangian of static gravitational fields interacting
with a QED plasma at high temperature. Using the equivalence between the static
hard thermal loops and those with zero external energy-momentum, we compute the
effective Lagrangian up to two-loop order. We also obtain a non-perturbative
contribution which arises from the sum of all infrared divergent ring-diagrams.
From the gauge and Weyl symmetries of the theory, we deduce to all orders that
this effective Lagrangian is equivalent to the pressure of a QED plasma in
Minkowski space-time, with the global temperature replaced by the Tolman local
temperature.
| [
{
"created": "Mon, 11 Nov 2013 18:35:24 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jan 2014 11:50:28 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"Siqueira",
"J. B.",
""
]
] | We obtain the effective Lagrangian of static gravitational fields interacting with a QED plasma at high temperature. Using the equivalence between the static hard thermal loops and those with zero external energy-momentum, we compute the effective Lagrangian up to two-loop order. We also obtain a non-perturbative contribution which arises from the sum of all infrared divergent ring-diagrams. From the gauge and Weyl symmetries of the theory, we deduce to all orders that this effective Lagrangian is equivalent to the pressure of a QED plasma in Minkowski space-time, with the global temperature replaced by the Tolman local temperature. |
1710.00480 | Hung-Hwa Lin | Zhi-Zhong Li, Hung-Hwa Lin, Shun-Qing Zhang | On the Symmetry Foundation of Double Soft Theorems | 45 pages, 7 figures | null | 10.1007/JHEP12(2017)032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Double-soft theorems, like its single-soft counterparts, arises from the
underlying symmetry principles that constrain the interactions of massless
particles. While single soft theorems can be derived in a non-perturbative
fashion by employing current algebras, recent attempts of extending such an
approach to known double soft theorems has been met with difficulties. In this
work, we have traced the difficulty to two inequivalent expansion schemes,
depending on whether the soft limit is taken asymmetrically or symmetrically,
which we denote as type A and B respectively. We show that soft-behaviour for
type A scheme can simply be derived from single soft theorems, and are thus
non-preturbatively protected. For type B, the information of the four-point
vertex is required to determine the corresponding soft theorems, and thus are
in general not protected. This argument can be readily extended to general
multi-soft theorems. We also ask whether unitarity can be emergent from
locality together with the two kinds of soft theorems, which has not been fully
investigated before.
| [
{
"created": "Mon, 2 Oct 2017 04:33:26 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2017 04:50:22 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Nov 2017 03:43:27 GMT",
"version": "v3"
}
] | 2017-12-11 | [
[
"Li",
"Zhi-Zhong",
""
],
[
"Lin",
"Hung-Hwa",
""
],
[
"Zhang",
"Shun-Qing",
""
]
] | Double-soft theorems, like its single-soft counterparts, arises from the underlying symmetry principles that constrain the interactions of massless particles. While single soft theorems can be derived in a non-perturbative fashion by employing current algebras, recent attempts of extending such an approach to known double soft theorems has been met with difficulties. In this work, we have traced the difficulty to two inequivalent expansion schemes, depending on whether the soft limit is taken asymmetrically or symmetrically, which we denote as type A and B respectively. We show that soft-behaviour for type A scheme can simply be derived from single soft theorems, and are thus non-preturbatively protected. For type B, the information of the four-point vertex is required to determine the corresponding soft theorems, and thus are in general not protected. This argument can be readily extended to general multi-soft theorems. We also ask whether unitarity can be emergent from locality together with the two kinds of soft theorems, which has not been fully investigated before. |
hep-th/9710084 | Martin Kruczenski | Juan Pedro Garrahan and Martin Kruczenski | Collective Dynamics of Solitons and Inequivalent Quantizations | 6 pages, revtex | J.Math.Phys. 40 (1999) 6178-6188 | 10.1063/1.533085 | null | hep-th | null | The collective dynamics of solitons with a coset space G/H as moduli space is
studied. It is shown that the collective band for a vibrational state is given
by the inequivalent coset space quantization corresponding to the
representation of H carried by the vibration.
| [
{
"created": "Thu, 9 Oct 1997 22:06:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Garrahan",
"Juan Pedro",
""
],
[
"Kruczenski",
"Martin",
""
]
] | The collective dynamics of solitons with a coset space G/H as moduli space is studied. It is shown that the collective band for a vibrational state is given by the inequivalent coset space quantization corresponding to the representation of H carried by the vibration. |
hep-th/0504087 | Sugumi Kanno | Sugumi Kanno | Low Energy Effective Action for Horava-Witten Cosmology | 11 pages | Phys.Rev. D72 (2005) 024009 | 10.1103/PhysRevD.72.024009 | KUNS-1963 | hep-th gr-qc | null | As a supersymmetric extension of the Randall-Sundrum model, we consider a
5-dimensional Horava-Witten type theory, and derive its low energy effective
action. The model we consider is a two-brane system with a bulk scalar field
satisfying the BPS condition. We solve the bulk equations of motion using a
gradient expansion method, and substitute the solution into the original action
to get the 4-dimensional effective action. The resultant effective theory can
be casted into the form of Einstein gravity coupled with two scalar fields, one
arising from the radion, the degree of freedom of the inter-brane distance, and
the other from the bulk scalar field. We also clarify the relation between our
analysis and the moduli approximation.
| [
{
"created": "Mon, 11 Apr 2005 05:41:12 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kanno",
"Sugumi",
""
]
] | As a supersymmetric extension of the Randall-Sundrum model, we consider a 5-dimensional Horava-Witten type theory, and derive its low energy effective action. The model we consider is a two-brane system with a bulk scalar field satisfying the BPS condition. We solve the bulk equations of motion using a gradient expansion method, and substitute the solution into the original action to get the 4-dimensional effective action. The resultant effective theory can be casted into the form of Einstein gravity coupled with two scalar fields, one arising from the radion, the degree of freedom of the inter-brane distance, and the other from the bulk scalar field. We also clarify the relation between our analysis and the moduli approximation. |
0908.1737 | Brian Swingle | Brian Swingle | Entanglement Entropy at Finite Density from Extremal Black Holes | 7 pages, 1 figure, references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I compute the entanglement entropy of a strongly coupled 2+1d quantum field
theory containing fermions at finite density using gauge/gravity duality. The
dual geometry is an extremal black hole in 3+1d Einstein-Maxwell theory. This
system was recently shown to exhibit non-Fermi liquid behavior, but the leading
geometrical contribution to the entanglement entropy does not produce an
expected violation of the boundary law. I discuss this negative result in the
context of attempts to find highly entangled states of quantum matter.
| [
{
"created": "Wed, 12 Aug 2009 15:43:51 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Aug 2009 19:28:47 GMT",
"version": "v2"
}
] | 2009-08-19 | [
[
"Swingle",
"Brian",
""
]
] | I compute the entanglement entropy of a strongly coupled 2+1d quantum field theory containing fermions at finite density using gauge/gravity duality. The dual geometry is an extremal black hole in 3+1d Einstein-Maxwell theory. This system was recently shown to exhibit non-Fermi liquid behavior, but the leading geometrical contribution to the entanglement entropy does not produce an expected violation of the boundary law. I discuss this negative result in the context of attempts to find highly entangled states of quantum matter. |
hep-th/9207089 | Evans | V. Ogievetsky, F. Gursey and M. Evans | From 2D conformal to 4D self-dual theories: quaternionic analyticity | 24 pages, LaTeX | Phys.Rev. D47 (1993) 3496-3508 | 10.1103/PhysRevD.47.3496 | CERN-TH-6533-92, RU-92-11-B | hep-th | null | It is shown that self-dual theories generalize to four dimensions both the
conformal and analytic aspects of two-dimensional conformal field theories. In
the harmonic space language there appear several ways to extend complex
analyticity (natural in two dimensions) to quaternionic analyticity (natural in
four dimensions). To be analytic, conformal transformations should be realized
on $CP^3$, which appears as the coset of the complexified conformal group
modulo its maximal parabolic subgroup. In this language one visualizes the
twistor correspondence of Penrose and Ward and consistently formulates the
analyticity of Fueter.
| [
{
"created": "Mon, 27 Jul 1992 16:02:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ogievetsky",
"V.",
""
],
[
"Gursey",
"F.",
""
],
[
"Evans",
"M.",
""
]
] | It is shown that self-dual theories generalize to four dimensions both the conformal and analytic aspects of two-dimensional conformal field theories. In the harmonic space language there appear several ways to extend complex analyticity (natural in two dimensions) to quaternionic analyticity (natural in four dimensions). To be analytic, conformal transformations should be realized on $CP^3$, which appears as the coset of the complexified conformal group modulo its maximal parabolic subgroup. In this language one visualizes the twistor correspondence of Penrose and Ward and consistently formulates the analyticity of Fueter. |
hep-th/0009149 | Hitoshi Murayama | Hitoshi Murayama (UC Berkeley, LBNL) | Confinement and Flavor Symmetry Breaking via Monopole Condensation | 6 pages. Parallel session talk presented at ICHEP 2000, July 27 -
August 2, 2000, Osaka, Japan | null | null | UCB-PTH-00/30, LBNL-46863 | hep-th hep-lat hep-ph | null | We discuss dynamics of N=2 supersymmetric SU(n_c) gauge theories with n_f
quark hypermultiplets. Upon N=1 perturbation of introducing a finite mass for
the adjoint chiral multiplet, we show that the flavor U(n_f) symmetry is
dynamically broken to U(r) \times U(n_f-r), where r\leq [n_f/2] is an integer.
This flavor symmetry breaking occurs due to the condensates of magnetic degrees
of freedom which acquire flavor quantum numbers due to the quark zero modes. We
briefly comment on the USp(2n_c) gauge theories. This talk is based on works
with Giuseppe Carlino and Ken Konishi, hep-th/0001036 and hep-th/0005076.
| [
{
"created": "Tue, 19 Sep 2000 20:13:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Murayama",
"Hitoshi",
"",
"UC Berkeley, LBNL"
]
] | We discuss dynamics of N=2 supersymmetric SU(n_c) gauge theories with n_f quark hypermultiplets. Upon N=1 perturbation of introducing a finite mass for the adjoint chiral multiplet, we show that the flavor U(n_f) symmetry is dynamically broken to U(r) \times U(n_f-r), where r\leq [n_f/2] is an integer. This flavor symmetry breaking occurs due to the condensates of magnetic degrees of freedom which acquire flavor quantum numbers due to the quark zero modes. We briefly comment on the USp(2n_c) gauge theories. This talk is based on works with Giuseppe Carlino and Ken Konishi, hep-th/0001036 and hep-th/0005076. |
hep-th/0102139 | Romanenko | N. Chepilko (Physics Institute of the Ukrainian Academy of Sciences),
A. Romanenko (Kiev Taras Shevtchenko University) | Quantum mechanics on Riemannian Manifold in Schwinger's Quantization
Approach I | 23pages, no figures, LaTeX | Eur.Phys.J.C21:369-381,2001 | 10.1007/s100520100712 | null | hep-th | null | Schwinger's quantization scheme is extended in order to solve the problem of
the formulation of quantum mechanics on a space with a group structure. The
importance of Killing vectors in a quantization scheme is showed. Usage of
these vectors provides algebraic properties of operators to be consistent with
the geometrical structure of a manifold. The procedure of the definition of the
quantum Lagrangian of a free particle and the norm of velocity (momentum)
operators is given. These constructions are invariant under a general
coordinate transformation. The unified procedure for constructing the quantum
theory on a space with a group structure is developed. Using it quantum
mechanics on a Riemannian manifold with a simply transitive group acting on it
is investigated.
| [
{
"created": "Wed, 21 Feb 2001 12:29:46 GMT",
"version": "v1"
}
] | 2011-09-13 | [
[
"Chepilko",
"N.",
"",
"Physics Institute of the Ukrainian Academy of Sciences"
],
[
"Romanenko",
"A.",
"",
"Kiev Taras Shevtchenko University"
]
] | Schwinger's quantization scheme is extended in order to solve the problem of the formulation of quantum mechanics on a space with a group structure. The importance of Killing vectors in a quantization scheme is showed. Usage of these vectors provides algebraic properties of operators to be consistent with the geometrical structure of a manifold. The procedure of the definition of the quantum Lagrangian of a free particle and the norm of velocity (momentum) operators is given. These constructions are invariant under a general coordinate transformation. The unified procedure for constructing the quantum theory on a space with a group structure is developed. Using it quantum mechanics on a Riemannian manifold with a simply transitive group acting on it is investigated. |
2207.14725 | Satoshi Watamura | Ursula Carow-Watamura, Kohei Miura, Satoshi Watamura | Metric Algebroid and Poisson-Lie T-duality in DFT | 61 pages | null | 10.1007/s00220-023-04765-y | TU-1161 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we investigate the gauge invariance and duality properties of
DFT based on a metric algebroid formulation given previously in [1]. The
derivation of the general action given in this paper does not employ the
section condition. Instead, the action is determined by requiring a pre-Bianchi
identity on the structure functions of the metric algebroid and also for the
dilaton flux. The pre-Bianchi identity is also a sufficient condition for a
generalized Lichnerowicz formula to hold. The reduction to the D-dimensional
space is achieved by a dimensional reduction of the fluctuations. The result
contains the theory on the group manifold, or the theory extending to the GSE,
depending on the chosen background. As an explicit example we apply our
formulation to the Poisson-Lie T-duality in the effective theory on a group
manifold. It is formulated as a 2D-dimensional diffeomorphism including the
fluctuations.
| [
{
"created": "Fri, 29 Jul 2022 14:57:32 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Aug 2022 15:16:47 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Aug 2022 09:14:59 GMT",
"version": "v3"
}
] | 2023-08-16 | [
[
"Carow-Watamura",
"Ursula",
""
],
[
"Miura",
"Kohei",
""
],
[
"Watamura",
"Satoshi",
""
]
] | In this article we investigate the gauge invariance and duality properties of DFT based on a metric algebroid formulation given previously in [1]. The derivation of the general action given in this paper does not employ the section condition. Instead, the action is determined by requiring a pre-Bianchi identity on the structure functions of the metric algebroid and also for the dilaton flux. The pre-Bianchi identity is also a sufficient condition for a generalized Lichnerowicz formula to hold. The reduction to the D-dimensional space is achieved by a dimensional reduction of the fluctuations. The result contains the theory on the group manifold, or the theory extending to the GSE, depending on the chosen background. As an explicit example we apply our formulation to the Poisson-Lie T-duality in the effective theory on a group manifold. It is formulated as a 2D-dimensional diffeomorphism including the fluctuations. |
hep-th/9403142 | Robert Coquereaux | R. Coquereaux | Triangular dissections, aperiodic tilings and Jones algebras | 14 pages. Revised version. 18 Postcript figures, a 500 kb uuencoded
file called images.uu available by mosaic or gopher from
gopher://cpt.univ-mrs.fr/11/preprints/94/fundamental-interactions/94-P.3020 | Adv.Appl.Math. 16 (1995) 402-424 | null | CPT - 94 /P.3020 | hep-th funct-an math.MG math.QA | null | The Brattelli diagram associated with a given bicolored Dynkin-Coxeter graph
of type $A_n$ determines planar fractal sets obtained by infinite dissections
of a given triangle. All triangles appearing in the dissection process have
angles that are multiples of $\pi/ (n+1).$ There are usually several possible
infinite dissections compatible with a given $n$ but a given one makes use of
$n/2$ triangle types if $n$ is even. Jones algebra with index $[ 4 \ \cos^2{\pi
\over n+1}]^{-1}$ (values of the discrete range) act naturally on vector spaces
associated with those fractal sets. Triangles of a given type are always
congruent at each step of the dissection process. In the particular case $n=4$,
there are isometric and the whole structure lead, after proper inflation, to
aperiodic Penrose tilings. The ``tilings'' associated with other values of the
index are discussed and shown to be encoded by equivalence classes of infinite
sequences (with appropriate constraints) using $n/2$ digits (if $n$ is even)
and generalizing the Fibonacci numbers.
| [
{
"created": "Wed, 23 Mar 1994 15:07:30 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 1995 11:32:27 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Coquereaux",
"R.",
""
]
] | The Brattelli diagram associated with a given bicolored Dynkin-Coxeter graph of type $A_n$ determines planar fractal sets obtained by infinite dissections of a given triangle. All triangles appearing in the dissection process have angles that are multiples of $\pi/ (n+1).$ There are usually several possible infinite dissections compatible with a given $n$ but a given one makes use of $n/2$ triangle types if $n$ is even. Jones algebra with index $[ 4 \ \cos^2{\pi \over n+1}]^{-1}$ (values of the discrete range) act naturally on vector spaces associated with those fractal sets. Triangles of a given type are always congruent at each step of the dissection process. In the particular case $n=4$, there are isometric and the whole structure lead, after proper inflation, to aperiodic Penrose tilings. The ``tilings'' associated with other values of the index are discussed and shown to be encoded by equivalence classes of infinite sequences (with appropriate constraints) using $n/2$ digits (if $n$ is even) and generalizing the Fibonacci numbers. |
hep-th/9812069 | Winder Alexander de Moura-Melo | Winder A. Moura-Melo, N. Panza and J.A. Helayel-Neto | On Massive Vector Bosons and Abelian Magnetic Monopoles in D=(3+1): a
Possible Way to Quantise the Topological Mass Parameter | 11 pages, 1 figure (Feynman graph) | Int.J.Mod.Phys. A14 (1999) 3949-3961 | 10.1142/S0217751X99001858 | CBPF-NF-062/98 | hep-th | null | An Abelian gauge model, with vector and 2-form potential fields linked by a
topological mass term that mixes the two Abelian factors, is shown to exhibit
Dirac-like magnetic monopoles in the presence of a matter background. In
addition, considering a "non-minimal coupling" between the fermions and the
tensor field, we obtain a generalised quantisation condition that involves,
among others, the mass parameter. Also, it is explicitly shown that 1_loop
(finite) corrections do not shift the value of such a mass parameter.
| [
{
"created": "Tue, 8 Dec 1998 15:13:13 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Nov 1999 16:19:58 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Moura-Melo",
"Winder A.",
""
],
[
"Panza",
"N.",
""
],
[
"Helayel-Neto",
"J. A.",
""
]
] | An Abelian gauge model, with vector and 2-form potential fields linked by a topological mass term that mixes the two Abelian factors, is shown to exhibit Dirac-like magnetic monopoles in the presence of a matter background. In addition, considering a "non-minimal coupling" between the fermions and the tensor field, we obtain a generalised quantisation condition that involves, among others, the mass parameter. Also, it is explicitly shown that 1_loop (finite) corrections do not shift the value of such a mass parameter. |
hep-th/0111006 | Liu Zhao | B. Suo, P. Wang, L. Zhao (Northwest Univ.) | Ambiguities of the Seiberg-Witten map in the presence of matter field | LaTeX | Commun.Theor.Phys. 37 (2002) 571-574 | 10.1088/0253-6102/37/5/571 | null | hep-th | null | The ambiguities of the Seiberg-Witten map for gauge field coupled with
fermionic matter are discussed. We find that only part of the ambiguities can
be absorbed by gauge transformation and/or field redefinition and thus are
negligible. The existence of matter field makes some other part of the
ambiguities difficult to be absorbed by gauge transformation or field
redefinition.
| [
{
"created": "Thu, 1 Nov 2001 02:17:44 GMT",
"version": "v1"
}
] | 2018-01-17 | [
[
"Suo",
"B.",
"",
"Northwest Univ."
],
[
"Wang",
"P.",
"",
"Northwest Univ."
],
[
"Zhao",
"L.",
"",
"Northwest Univ."
]
] | The ambiguities of the Seiberg-Witten map for gauge field coupled with fermionic matter are discussed. We find that only part of the ambiguities can be absorbed by gauge transformation and/or field redefinition and thus are negligible. The existence of matter field makes some other part of the ambiguities difficult to be absorbed by gauge transformation or field redefinition. |
1910.08835 | Raymond F. Sawyer | R. F. Sawyer | Quantum break in high intensity gravitational wave interactions | 6 pages, 3 figures; helicity amplitudes redefined with no effect on
later equations | Phys. Rev. Lett. 124, 101301 (2020) | 10.1103/PhysRevLett.124.101301 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The lowest order amplitudes for [$ {\rm graviton+graviton \rightarrow photon
+photon}]$ lead to cross-sections of order $G^2$, where $G$ is the
gravitational constant. These are too small to be of any interest. However in
dense clouds of pure gravitons there are collective effects utilizing these
same amplitudes that under the right circumstances can lead to copious
production of photons.
| [
{
"created": "Sat, 19 Oct 2019 20:33:33 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Nov 2019 17:09:00 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Nov 2019 17:49:49 GMT",
"version": "v3"
}
] | 2020-03-18 | [
[
"Sawyer",
"R. F.",
""
]
] | The lowest order amplitudes for [$ {\rm graviton+graviton \rightarrow photon +photon}]$ lead to cross-sections of order $G^2$, where $G$ is the gravitational constant. These are too small to be of any interest. However in dense clouds of pure gravitons there are collective effects utilizing these same amplitudes that under the right circumstances can lead to copious production of photons. |
hep-th/0310099 | Miguel Costa S. | Lorenzo Cornalba and Miguel S. Costa | Time-dependent Orbifolds and String Cosmology | 74 pages, 20 figures. Updated version of lectures at RTN Winter
School on Strings, Supergravity and Gauge Theory - Torino, January 2003.
Contains many new results. Minor corrections | Fortsch.Phys.52:145-199,2004 | 10.1002/prop.200310123 | null | hep-th | null | In these lectures, we review the physics of time-dependent orbifolds of
string theory, with particular attention to orbifolds of three-dimensional
Minkowski space. We discuss the propagation of free particles in the orbifold
geometries, together with their interactions. We address the issue of stability
of these string vacua and the difficulties in defining a consistent
perturbation theory, pointing to possible solutions. In particular, it is shown
that resumming part of the perturbative expansion gives finite amplitudes.
Finally we discuss the duality of some orbifold models with the physics of
orientifold planes, and we describe cosmological models based on the dynamics
of these orientifolds.
| [
{
"created": "Fri, 10 Oct 2003 11:11:03 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2005 17:52:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Cornalba",
"Lorenzo",
""
],
[
"Costa",
"Miguel S.",
""
]
] | In these lectures, we review the physics of time-dependent orbifolds of string theory, with particular attention to orbifolds of three-dimensional Minkowski space. We discuss the propagation of free particles in the orbifold geometries, together with their interactions. We address the issue of stability of these string vacua and the difficulties in defining a consistent perturbation theory, pointing to possible solutions. In particular, it is shown that resumming part of the perturbative expansion gives finite amplitudes. Finally we discuss the duality of some orbifold models with the physics of orientifold planes, and we describe cosmological models based on the dynamics of these orientifolds. |
2202.06977 | Nemanja Kaloper | Nemanja Kaloper | Hidden Variables of Gravity and Geometry and the Cosmological Constant
Problem | 12 pages LaTeX, 1 .pdf figure; final version, published in PRD;
comments and references added | Physical Review D 106 (2022) 6, 065009 | 10.1103/PhysRevD.106.065009 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend General Relativity by promoting Planck scale and the cosmological
constant into integration constants, interpreted as fluxes of $4$-forms hiding
in the theory. When we include the charges of the $4$-forms, these `constants'
can vary discretely from region to region. We explain how the cosmological
constant problem can be solved in this new framework. When the cosmological
constant picks up contributions from two different $4$-forms, with an
irrational ratio of charges, the spectrum of its values is a very fine
discretuum. When the charges are mutually irrational, $\frac{2\kappa_{\tt
eff}^2 \kappa^2 |{\cal Q}_i|}{3{\cal T}^2_i} < 1$, the discharge processes
populating our discretuum will dynamically relax $\Lambda$, ceasing as
$\Lambda$ approaches zero. Thus the theory exponentially favors a huge
hierarchy $\Lambda/\mpl^4 \ll 1$ instead of $\Lambda/\mpl^4 \simeq 1$.
| [
{
"created": "Mon, 14 Feb 2022 19:00:07 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2022 03:36:50 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Sep 2022 17:03:13 GMT",
"version": "v3"
}
] | 2022-10-05 | [
[
"Kaloper",
"Nemanja",
""
]
] | We extend General Relativity by promoting Planck scale and the cosmological constant into integration constants, interpreted as fluxes of $4$-forms hiding in the theory. When we include the charges of the $4$-forms, these `constants' can vary discretely from region to region. We explain how the cosmological constant problem can be solved in this new framework. When the cosmological constant picks up contributions from two different $4$-forms, with an irrational ratio of charges, the spectrum of its values is a very fine discretuum. When the charges are mutually irrational, $\frac{2\kappa_{\tt eff}^2 \kappa^2 |{\cal Q}_i|}{3{\cal T}^2_i} < 1$, the discharge processes populating our discretuum will dynamically relax $\Lambda$, ceasing as $\Lambda$ approaches zero. Thus the theory exponentially favors a huge hierarchy $\Lambda/\mpl^4 \ll 1$ instead of $\Lambda/\mpl^4 \simeq 1$. |
hep-th/9805039 | Efrain J. Ferrer | Efrain J. Ferrer and Vivian de la Incera | Phase Transition in Anyon Superconductivity at Finite Temperature | 18 pages, revtex | Nucl.Phys. B542 (1999) 621-646 | 10.1016/S0550-3213(98)00835-9 | SUNY-FRE-98-04 | hep-th cond-mat | null | The magnetic response of the charged anyon fluid at temperatures larger than
the fermion energy gap is investigated in the self-consistent field
approximation. In this temperature region a new phase, characterized by an
inhomogeneous magnetic penetration, is found. The inhomogeneity is linked to
the existence of an imaginary magnetic mass which increases with the
temperature. The system stability in the new phase is proved by investigating
the electromagnetic field rest-energy spectrum.
| [
{
"created": "Thu, 7 May 1998 15:51:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ferrer",
"Efrain J.",
""
],
[
"de la Incera",
"Vivian",
""
]
] | The magnetic response of the charged anyon fluid at temperatures larger than the fermion energy gap is investigated in the self-consistent field approximation. In this temperature region a new phase, characterized by an inhomogeneous magnetic penetration, is found. The inhomogeneity is linked to the existence of an imaginary magnetic mass which increases with the temperature. The system stability in the new phase is proved by investigating the electromagnetic field rest-energy spectrum. |
hep-th/0610318 | Rutwig C. Stursberg | R. Campoamor-Stursberg | Quasi-classical Lie algebras and their contractions | 17 pages, 2 Tables | Int.J.Theor.Phys.47:583-598,2008 | 10.1007/s10773-007-9482-3 | null | hep-th | null | After classifying indecomposable quasi-classical Lie algebras in low
dimension, and showing the existence of non-reductive stable quasi-classical
Lie algebras, we focus on the problem of obtaining sufficient conditions for a
quasi-classical Lie algebras to be the contraction of another quasi-classical
algebra. It is illustrated how this allows to recover the Yang-Mills equations
of a contraction by a limiting process, and how the contractions of an algebra
may generate a parameterized families of Lagrangians for pairwise
non-isomorphic Lie algebras.
| [
{
"created": "Mon, 30 Oct 2006 19:45:09 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Campoamor-Stursberg",
"R.",
""
]
] | After classifying indecomposable quasi-classical Lie algebras in low dimension, and showing the existence of non-reductive stable quasi-classical Lie algebras, we focus on the problem of obtaining sufficient conditions for a quasi-classical Lie algebras to be the contraction of another quasi-classical algebra. It is illustrated how this allows to recover the Yang-Mills equations of a contraction by a limiting process, and how the contractions of an algebra may generate a parameterized families of Lagrangians for pairwise non-isomorphic Lie algebras. |
0903.0593 | Juan Mateos Guilarte | A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte | BPS and non-BPS kinks in a massive non-linear S^2-sigma model | RevTex, 14 pages, 19 figures | Phys.Rev.D79:125003,2009 | 10.1103/PhysRevD.79.125003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stability of the kinks of the non-linear ${\mathbb S}^2$-sigma model
discovered in Phys. Rev. Lett. 101(2008)131602 is discussed from several points
of view. After a direct estimation of the spectra of the second-order
fluctuation operators around topological kinks, first-order field equations are
proposed to distinguish between BPS and non-BPS kinks. The one-loop mass shifts
caused by quantum fluctuations around the topological kinks are computed using
the Cahill-Comtet-Glauber formula proposed in Phys. Lett. 64B(1976)283. The
(lack of) stability of the non-topological kinks is unveiled by application of
the Morse index theorem. These kinks are identified as non-BPS states and the
interplay between instability and supersymmetry is explored.
| [
{
"created": "Tue, 3 Mar 2009 18:54:17 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jun 2009 10:53:08 GMT",
"version": "v2"
}
] | 2009-06-30 | [
[
"Izquierdo",
"A. Alonso",
""
],
[
"Leon",
"M. A. Gonzalez",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] | The stability of the kinks of the non-linear ${\mathbb S}^2$-sigma model discovered in Phys. Rev. Lett. 101(2008)131602 is discussed from several points of view. After a direct estimation of the spectra of the second-order fluctuation operators around topological kinks, first-order field equations are proposed to distinguish between BPS and non-BPS kinks. The one-loop mass shifts caused by quantum fluctuations around the topological kinks are computed using the Cahill-Comtet-Glauber formula proposed in Phys. Lett. 64B(1976)283. The (lack of) stability of the non-topological kinks is unveiled by application of the Morse index theorem. These kinks are identified as non-BPS states and the interplay between instability and supersymmetry is explored. |
2406.01861 | Runqing Wang | Antonio Delgado, Adam Martin, Runqing Wang | Basis for Non-Factorizable Superamplitudes in N = 1 Supersymmetry | 18 pages, 8 figures | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we develop a semi-standard Young tableau (SSYT) approach to
construct a basis of non-factorizable superamplitudes in N = 1 massless
supersymmetry. This amplitude basis can be directly translated to a basis for
higher dimensional supersymmetric operators, yielding both the number of
independent operators and their form. We deal with distinguishable (massless)
chiral/vector superfields at first, then generalize the result to the
indistinguishable case. Finally, we discuss the advantages and disadvantages of
this method compared to the previously studied Hilbert series approach.
| [
{
"created": "Tue, 4 Jun 2024 00:17:08 GMT",
"version": "v1"
}
] | 2024-06-05 | [
[
"Delgado",
"Antonio",
""
],
[
"Martin",
"Adam",
""
],
[
"Wang",
"Runqing",
""
]
] | In this paper we develop a semi-standard Young tableau (SSYT) approach to construct a basis of non-factorizable superamplitudes in N = 1 massless supersymmetry. This amplitude basis can be directly translated to a basis for higher dimensional supersymmetric operators, yielding both the number of independent operators and their form. We deal with distinguishable (massless) chiral/vector superfields at first, then generalize the result to the indistinguishable case. Finally, we discuss the advantages and disadvantages of this method compared to the previously studied Hilbert series approach. |
hep-th/0410220 | Takehisa Fujita | T. Fujita, M. Hiramoto and H. Takahashi | Historical Mistake in Spontaneous Symmetry Breaking | 3 pages | null | null | null | hep-th | null | The prediction of a massless boson after the spontaneous chiral symmetry
breaking in the classic paper of Nambu and Jona-Lasinio (NJL) is shown to be
wrong. Their mistake is due to a carelessly employed perturbative vacuum when
evaluating the boson mass by summing up one loop Feynman diagrams. With the
proper symmetry broken vacuum, one obtains a finite boson mass depending on the
coupling constant $G$.
| [
{
"created": "Fri, 22 Oct 2004 07:26:59 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fujita",
"T.",
""
],
[
"Hiramoto",
"M.",
""
],
[
"Takahashi",
"H.",
""
]
] | The prediction of a massless boson after the spontaneous chiral symmetry breaking in the classic paper of Nambu and Jona-Lasinio (NJL) is shown to be wrong. Their mistake is due to a carelessly employed perturbative vacuum when evaluating the boson mass by summing up one loop Feynman diagrams. With the proper symmetry broken vacuum, one obtains a finite boson mass depending on the coupling constant $G$. |
hep-th/0505259 | Makoto Sakaguchi | Hironobu Kihara, Makoto Sakaguchi and Yukinori Yasui | Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q} | 10 pages, references added | Phys.Lett. B621 (2005) 288-294 | 10.1016/j.physletb.2005.06.061 | null | hep-th | null | We study the spectrum of the scalar Laplacian on the five-dimensional toric
Sasaki-Einstein manifolds Y^{p,q}. The eigenvalue equation reduces to Heun's
equation, which is a Fuchsian equation with four regular singularities. We show
that the ground states, which are given by constant solutions of Heun's
equation, are identified with BPS states corresponding to the chiral primary
operators in the dual quiver gauge theories. The excited states correspond to
non-trivial solutions of Heun's equation. It is shown that these reduce to
polynomial solutions in the near BPS limit.
| [
{
"created": "Mon, 30 May 2005 18:01:22 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 2005 10:16:16 GMT",
"version": "v2"
}
] | 2010-04-05 | [
[
"Kihara",
"Hironobu",
""
],
[
"Sakaguchi",
"Makoto",
""
],
[
"Yasui",
"Yukinori",
""
]
] | We study the spectrum of the scalar Laplacian on the five-dimensional toric Sasaki-Einstein manifolds Y^{p,q}. The eigenvalue equation reduces to Heun's equation, which is a Fuchsian equation with four regular singularities. We show that the ground states, which are given by constant solutions of Heun's equation, are identified with BPS states corresponding to the chiral primary operators in the dual quiver gauge theories. The excited states correspond to non-trivial solutions of Heun's equation. It is shown that these reduce to polynomial solutions in the near BPS limit. |
hep-th/9609164 | John Gracey | J.A. Gracey | Renormalization group functions of QCD in large N_f | Invited talk at RG96, Dubna, Russia; 10 latex pages, one postscript
figure, uses sprocl.sty | null | null | LTH 382 | hep-th | null | We review the application of the critical point large N_f self-consistency
method to QCD. In particular we derive the O(1/N_f) d-dimensional critical
exponents whose epsilon-expansion determines the perturbative coefficients in
MSbar of the field dimensions, beta-function and various twist-2 operators
which occur in the operator product expansion of deep inelastic scattering.
| [
{
"created": "Thu, 19 Sep 1996 12:52:10 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gracey",
"J. A.",
""
]
] | We review the application of the critical point large N_f self-consistency method to QCD. In particular we derive the O(1/N_f) d-dimensional critical exponents whose epsilon-expansion determines the perturbative coefficients in MSbar of the field dimensions, beta-function and various twist-2 operators which occur in the operator product expansion of deep inelastic scattering. |
hep-th/0011165 | Paul H. Frampton | Paul H. Frampton | Finite N AdS/CFT Correspondence for Abelian and Nonabelian Orbifolds,
and Gauge Coupling Unification | 29 pages latex. Contribution to the Journal of Mathematical Physics,
special issue devoted to Strings, Branes and M-theory | J.Math.Phys. 42 (2001) 2915-2928 | 10.1063/1.1374450 | IFP-790-UNC | hep-th | null | Although the AdS/CFT correspondence is rigorous only for an infinite $N \to
\infty$ stack of D3-branes, it can be fruitfully studied for finite $N$ as a
source of gauge structures and choices for chiral fermions and complex scalars
which solve the hierarchy problem by a conformal fixed point. We emphasize
orbifolds $AdS_5 \times S^5/\Gamma$ where the resulting GFT has ${\cal N} = 0$
supersymmetry. The fact that the complex scalars are prescribed by the
construction limits the possible spontaneous symmetry breaking. Both abelian
and nonabelian $\Gamma$ are illustrated by simple examples. An accurate $sin^2
\theta$ in electroweak unification can be obtained, suggesting that this
approach merits further study.
| [
{
"created": "Fri, 17 Nov 2000 22:18:43 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Frampton",
"Paul H.",
""
]
] | Although the AdS/CFT correspondence is rigorous only for an infinite $N \to \infty$ stack of D3-branes, it can be fruitfully studied for finite $N$ as a source of gauge structures and choices for chiral fermions and complex scalars which solve the hierarchy problem by a conformal fixed point. We emphasize orbifolds $AdS_5 \times S^5/\Gamma$ where the resulting GFT has ${\cal N} = 0$ supersymmetry. The fact that the complex scalars are prescribed by the construction limits the possible spontaneous symmetry breaking. Both abelian and nonabelian $\Gamma$ are illustrated by simple examples. An accurate $sin^2 \theta$ in electroweak unification can be obtained, suggesting that this approach merits further study. |
1701.04337 | Alireza Sepehri | J. A. Helay\"el-Neto, Alireza Sepehri | The origin of Chern-Simons modified gravity from an 11 + 3-dimensional
manifold | 11 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this contribution, it is our aim to show that the Chern-Simons terms of
modified gravity can be understood as generated by the addition of a
3-dimensional algebraic manifold to an initial 11-dimensional space-time
manifold; this builds up an 11+3-dimensional space-time. In this system,
firstly, some fields living in the bulk join the fields that live on the
11-dimensional manifold, so that the rank of the gauge fields exceeds the
dimension of the algebra; consequently, there emerges an anomaly. To solve this
problem, another 11-dimensional manifold is included in the 11 +3-dimensional
space-time, and it interacts with the initial manifold by exchanging
Chern-Simons fields. This mechanism is able to remove the anomaly. Chern-Simons
terms actually produce an extra manifold between the pair of 11-dimensional
manifolds of the 11+3-space-time. Summing up over the topology of both the
11-dimensional manifolds and the topology of the exchanged Chern-Simons
manifold in the bulk , we conclude that the total topology shrinks to one,
which is in agreement with the main idea of the Big Bang theory.
| [
{
"created": "Fri, 13 Jan 2017 16:51:09 GMT",
"version": "v1"
}
] | 2017-01-17 | [
[
"Helayël-Neto",
"J. A.",
""
],
[
"Sepehri",
"Alireza",
""
]
] | In this contribution, it is our aim to show that the Chern-Simons terms of modified gravity can be understood as generated by the addition of a 3-dimensional algebraic manifold to an initial 11-dimensional space-time manifold; this builds up an 11+3-dimensional space-time. In this system, firstly, some fields living in the bulk join the fields that live on the 11-dimensional manifold, so that the rank of the gauge fields exceeds the dimension of the algebra; consequently, there emerges an anomaly. To solve this problem, another 11-dimensional manifold is included in the 11 +3-dimensional space-time, and it interacts with the initial manifold by exchanging Chern-Simons fields. This mechanism is able to remove the anomaly. Chern-Simons terms actually produce an extra manifold between the pair of 11-dimensional manifolds of the 11+3-space-time. Summing up over the topology of both the 11-dimensional manifolds and the topology of the exchanged Chern-Simons manifold in the bulk , we conclude that the total topology shrinks to one, which is in agreement with the main idea of the Big Bang theory. |
2305.01009 | Hossein Yavartanoo | H. Adami, A. Parvizi, M. M. Sheikh-Jabbari, V. Taghiloo and H.
Yavartanoo | Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity | 35 pages, 5 figures | null | 10.1007/JHEP07(2023)038 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study 3-dimensional gravity on a spacetime bounded by a generic
2-dimensional causal surface. We review the solution phase space specified by 4
generic functions over the causal boundary, construct the symplectic form over
the solution space and the 4 boundary charges and their algebra. The boundary
charges label boundary degrees of freedom. Three of these charges extend and
generalize the Brown-York charges to the generic causal boundary, are canonical
conjugates of boundary metric components and naturally give rise to a fluid
description at the causal boundary. Moreover, we show that the boundary charges
besides the causal boundary hydrodynamic description, also admit a
thermodynamic description with a natural (geometric) causal boundary
temperature and angular velocity. When the causal boundary is the asymptotic
boundary of the 3d AdS or flat space, the hydrodynamic description respectively
recovers an extension of the known conformal or conformal-Carrollian asymptotic
hydrodynamics. When the causal boundary is a generic null surface, we recover
the null surface thermodynamics of [1] which is an extension of the usual black
hole thermodynamics description.
| [
{
"created": "Mon, 1 May 2023 18:00:13 GMT",
"version": "v1"
}
] | 2023-07-26 | [
[
"Adami",
"H.",
""
],
[
"Parvizi",
"A.",
""
],
[
"Sheikh-Jabbari",
"M. M.",
""
],
[
"Taghiloo",
"V.",
""
],
[
"Yavartanoo",
"H.",
""
]
] | We study 3-dimensional gravity on a spacetime bounded by a generic 2-dimensional causal surface. We review the solution phase space specified by 4 generic functions over the causal boundary, construct the symplectic form over the solution space and the 4 boundary charges and their algebra. The boundary charges label boundary degrees of freedom. Three of these charges extend and generalize the Brown-York charges to the generic causal boundary, are canonical conjugates of boundary metric components and naturally give rise to a fluid description at the causal boundary. Moreover, we show that the boundary charges besides the causal boundary hydrodynamic description, also admit a thermodynamic description with a natural (geometric) causal boundary temperature and angular velocity. When the causal boundary is the asymptotic boundary of the 3d AdS or flat space, the hydrodynamic description respectively recovers an extension of the known conformal or conformal-Carrollian asymptotic hydrodynamics. When the causal boundary is a generic null surface, we recover the null surface thermodynamics of [1] which is an extension of the usual black hole thermodynamics description. |
1608.05687 | Ping Gao | Ping Gao, Daniel Louis Jafferis, Aron C. Wall | Traversable Wormholes via a Double Trace Deformation | 19 pages, 4 figures, 1 appendix | null | 10.1007/JHEP12(2017)151 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After turning on an interaction that couples the two boundaries of an eternal
BTZ black hole, we find a quantum matter stress tensor with negative average
null energy, whose gravitational backreaction renders the Einstein-Rosen bridge
traversable. Such a traversable wormhole has an interesting interpretation in
the context of ER=EPR, which we suggest might be related to quantum
teleportation. However, it cannot be used to violate causality. We also discuss
the implications for the energy and holographic entropy in the dual CFT
description.
| [
{
"created": "Fri, 19 Aug 2016 18:18:18 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Sep 2017 04:32:26 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Sep 2019 14:30:47 GMT",
"version": "v3"
}
] | 2019-09-25 | [
[
"Gao",
"Ping",
""
],
[
"Jafferis",
"Daniel Louis",
""
],
[
"Wall",
"Aron C.",
""
]
] | After turning on an interaction that couples the two boundaries of an eternal BTZ black hole, we find a quantum matter stress tensor with negative average null energy, whose gravitational backreaction renders the Einstein-Rosen bridge traversable. Such a traversable wormhole has an interesting interpretation in the context of ER=EPR, which we suggest might be related to quantum teleportation. However, it cannot be used to violate causality. We also discuss the implications for the energy and holographic entropy in the dual CFT description. |
hep-th/0102060 | Maria A. Lledo | R. D'Auria, S. Ferrara, M. A. Lledo | On the Embedding of Space-Time Symmetries into Simple Superalgebras | AMS LaTeX, 16 pages | Lett.Math.Phys. 57 (2001) 123-133 | null | CERN-TH/2000-380 | hep-th | null | We explore the embedding of Spin groups of arbitrary dimension and signature
into simple superalgebras in the case of extended supersymmetry. The
R-symmetry, which generically is not compact, can be chosen compact for all the
cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2),
$D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases.
Central extensions of super translation algebras are studied in this framework.
| [
{
"created": "Mon, 12 Feb 2001 15:34:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
],
[
"Lledo",
"M. A.",
""
]
] | We explore the embedding of Spin groups of arbitrary dimension and signature into simple superalgebras in the case of extended supersymmetry. The R-symmetry, which generically is not compact, can be chosen compact for all the cases that are congruent mod 8 to the physical conformal algebra so($D-2$,2), $D\geq 3$. An $\rm{so}(1,1)$ grading of the superalgebra is found in all cases. Central extensions of super translation algebras are studied in this framework. |
0903.0262 | Yu. M. Zinoviev | Yu. M. Zinoviev | Note on antisymmetric spin-tensors | 7 pages, no figures | JHEP 0904:035,2009 | 10.1088/1126-6708/2009/04/035 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was known for a long time that in d = 4 dimensions it is impossible to
construct the Lagrangian for antisymmetric second rank spin-tensor that will be
invariant under the gauge transformations with unconstrained spin-vector
parameter. But recently a paper arXiv:0902.1471 appeared where gauge invariant
Lagrangians for antisymmetric spin-tensors of arbitrary rank n in d > 2n were
constructed using powerful BRST approach. To clarify apparent contradiction, in
this note we carry a direct independent analysis of the most general first
order Lagrangian for the massless antisymmetric spin-tensor of second rank. Our
analysis shows that gauge invariant Lagrangian does exist but in d > 4
dimensions only, while in d = 4 this Lagrangian becomes identically zero. As a
byproduct, we obtain a very simple and convenient form of this massless
Lagrangian that makes deformation to AdS space and/or massive case a simple
task as we explicitly show here. Moreover, this simple form admits natural and
straightforward generalization on the case of massive antisymmetric
spin-tensors of rank n for d > 2n.
| [
{
"created": "Mon, 2 Mar 2009 11:18:41 GMT",
"version": "v1"
}
] | 2009-04-17 | [
[
"Zinoviev",
"Yu. M.",
""
]
] | It was known for a long time that in d = 4 dimensions it is impossible to construct the Lagrangian for antisymmetric second rank spin-tensor that will be invariant under the gauge transformations with unconstrained spin-vector parameter. But recently a paper arXiv:0902.1471 appeared where gauge invariant Lagrangians for antisymmetric spin-tensors of arbitrary rank n in d > 2n were constructed using powerful BRST approach. To clarify apparent contradiction, in this note we carry a direct independent analysis of the most general first order Lagrangian for the massless antisymmetric spin-tensor of second rank. Our analysis shows that gauge invariant Lagrangian does exist but in d > 4 dimensions only, while in d = 4 this Lagrangian becomes identically zero. As a byproduct, we obtain a very simple and convenient form of this massless Lagrangian that makes deformation to AdS space and/or massive case a simple task as we explicitly show here. Moreover, this simple form admits natural and straightforward generalization on the case of massive antisymmetric spin-tensors of rank n for d > 2n. |
0807.1517 | Sumit Das | Adel Awad, Sumit R. Das, Suresh Nampuri, K. Narayan and Sandip P.
Trivedi | Gauge Theories with Time Dependent Couplings and their Cosmological
Duals | 45 pages, 1 figure; v2. minor modifications; v3: PRD version,
conclusions in the field theory case significantly revised to include
possible renormalization effects, quantum mechanics toy model unchanged,
abstract and introduction revised, additional subsection 4.1 added | Phys.Rev.D79:046004,2009 | 10.1103/PhysRevD.79.046004 | UK/08-11, TIFR-TH/08-28 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the N=4 SYM theory in flat 3+1 dimensional spacetime with a time
dependent coupling constant which vanishes at $t=0$, like $g_{YM}^2=t^p$. In an
analogous quantum mechanics toy model we find that the response is singular.
The energy diverges at $t=0$, for a generic state. In addition, if $p>1$ the
phase of the wave function has a wildly oscillating behavior, which does not
allow it to be continued past $t=0$. A similar effect would make the gauge
theory singular as well, though nontrivial effects of renormalization could
tame this singularity and allow a smooth continuation beyond $t=0$. The gravity
dual in some cases is known to be a time dependent cosmology which exhibits a
space-like singularity at $t=0$. Our results, if applicable in the gauge theory
for the case of the vanishing coupling, imply that the singularity is a genuine
sickness and does not admit a meaningful continuation. When the coupling
remains non-zero and becomes small at $t=0$, the curvature in the bulk becomes
of order the string scale. The gauge theory now admits a time evolution beyond
this point. In this case, a finite amount of energy is produced which possibly
thermalizes and leads to a black hole in the bulk.
| [
{
"created": "Wed, 9 Jul 2008 18:45:43 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2008 09:58:05 GMT",
"version": "v2"
},
{
"created": "Thu, 21 May 2009 18:05:23 GMT",
"version": "v3"
}
] | 2009-08-03 | [
[
"Awad",
"Adel",
""
],
[
"Das",
"Sumit R.",
""
],
[
"Nampuri",
"Suresh",
""
],
[
"Narayan",
"K.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We consider the N=4 SYM theory in flat 3+1 dimensional spacetime with a time dependent coupling constant which vanishes at $t=0$, like $g_{YM}^2=t^p$. In an analogous quantum mechanics toy model we find that the response is singular. The energy diverges at $t=0$, for a generic state. In addition, if $p>1$ the phase of the wave function has a wildly oscillating behavior, which does not allow it to be continued past $t=0$. A similar effect would make the gauge theory singular as well, though nontrivial effects of renormalization could tame this singularity and allow a smooth continuation beyond $t=0$. The gravity dual in some cases is known to be a time dependent cosmology which exhibits a space-like singularity at $t=0$. Our results, if applicable in the gauge theory for the case of the vanishing coupling, imply that the singularity is a genuine sickness and does not admit a meaningful continuation. When the coupling remains non-zero and becomes small at $t=0$, the curvature in the bulk becomes of order the string scale. The gauge theory now admits a time evolution beyond this point. In this case, a finite amount of energy is produced which possibly thermalizes and leads to a black hole in the bulk. |
2311.07507 | Agustin Silva | Agust\'in Silva and Jesse van der Duin | Scalar curvature for metric spaces: Defining curvature for Quantum
Gravity without coordinates | 23 pages, 8 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Geometrical properties of spacetime are difficult to study in nonperturbative
approaches to quantum gravity like Causal Dynamical Triangulations (CDT), where
one uses simplicial manifolds to define the gravitational path integral,
instead of Riemannian manifolds. In particular, in CDT one only relies on two
mathematical tools, a distance measure and a volume measure. In this paper, we
define a notion of scalar curvature, for metric spaces endowed with a volume
measure or a random walk, without assuming nor using notions of tensor
calculus. Furthermore, we directly define the Ricci scalar, without the need of
defining and computing the Riemann or the Ricci tensor a priori. For this, we
make use of quantities, like the surface of a geodesic sphere, or the return
probability of scalar diffusion processes, that can be computed in these metric
spaces, as in a Riemannian manifold, where they receive scalar curvature
contributions. Our definitions recover the classical results of scalar
curvature when the sets are Riemannian manifolds. We propose seven methods to
compute the scalar curvature in these spaces, and we compare their features in
natural implementations in discrete spaces. The defined generalized scalar
curvatures are easily implemented on discrete spaces, like graphs. We present
the results of our definitions on random triangulations of a 2D sphere and
plane. Additionally, we show the results of our generalized scalar curvatures
on the quantum geometries of 2D CDT, where we find that all our definitions
indicate a flat ground state of the gravitational path integral.
| [
{
"created": "Mon, 13 Nov 2023 17:53:26 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Nov 2023 14:43:31 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jun 2024 08:31:09 GMT",
"version": "v3"
}
] | 2024-06-06 | [
[
"Silva",
"Agustín",
""
],
[
"van der Duin",
"Jesse",
""
]
] | Geometrical properties of spacetime are difficult to study in nonperturbative approaches to quantum gravity like Causal Dynamical Triangulations (CDT), where one uses simplicial manifolds to define the gravitational path integral, instead of Riemannian manifolds. In particular, in CDT one only relies on two mathematical tools, a distance measure and a volume measure. In this paper, we define a notion of scalar curvature, for metric spaces endowed with a volume measure or a random walk, without assuming nor using notions of tensor calculus. Furthermore, we directly define the Ricci scalar, without the need of defining and computing the Riemann or the Ricci tensor a priori. For this, we make use of quantities, like the surface of a geodesic sphere, or the return probability of scalar diffusion processes, that can be computed in these metric spaces, as in a Riemannian manifold, where they receive scalar curvature contributions. Our definitions recover the classical results of scalar curvature when the sets are Riemannian manifolds. We propose seven methods to compute the scalar curvature in these spaces, and we compare their features in natural implementations in discrete spaces. The defined generalized scalar curvatures are easily implemented on discrete spaces, like graphs. We present the results of our definitions on random triangulations of a 2D sphere and plane. Additionally, we show the results of our generalized scalar curvatures on the quantum geometries of 2D CDT, where we find that all our definitions indicate a flat ground state of the gravitational path integral. |
0712.2158 | Ludmil Hadjiivanov | Ludmil Hadjiivanov, Paolo Furlan | Extended su(2)_k and restricted U_q sl(2) | 11 pages, extended version of a talk at the International Workshop
"Lie Theory and Its Applications in Physics VII" (Varna, Bulgaria, June
2007), to appear in the proceedings (eds. V. Dobrev et.al., Heron Press,
Sofia) | null | null | null | hep-th math-ph math.MP math.QA | null | Global gauge symmetry becomes more intricate in low dimensional QFT. We
survey the mathematical concepts leading to the relevant analogues of the (D=4)
Doplicher-Haag-Roberts theory of superselection sectors and internal symmetry.
We also review a recently uncovered duality between braid and quantum group
representations in an extension of the chiral su(2)_k WZNW model for
nonnegative integer level k.
| [
{
"created": "Thu, 13 Dec 2007 14:22:47 GMT",
"version": "v1"
}
] | 2007-12-14 | [
[
"Hadjiivanov",
"Ludmil",
""
],
[
"Furlan",
"Paolo",
""
]
] | Global gauge symmetry becomes more intricate in low dimensional QFT. We survey the mathematical concepts leading to the relevant analogues of the (D=4) Doplicher-Haag-Roberts theory of superselection sectors and internal symmetry. We also review a recently uncovered duality between braid and quantum group representations in an extension of the chiral su(2)_k WZNW model for nonnegative integer level k. |
hep-th/0301110 | Ari Pakman | Ari Pakman (Hebrew U.) | Unitarity of supersymmetric SL(2,R)/U(1) and no-ghost theorem for
fermionic strings in AdS(3) x N | LaTeX in JHEP style, 16 pages, typos corrected | JHEP 0301 (2003) 077 | 10.1088/1126-6708/2003/01/077 | null | hep-th | null | The unitarity of the NS supersymmetric coset SL(2,R)/U(1) is studied for the
discrete representations. The results are applied to the proof of the no-ghost
theorem for fermionic strings in AdS(3) x N in the NS sector. A no-ghost
theorem is proved for states in flowed discrete representations.
| [
{
"created": "Thu, 16 Jan 2003 15:05:07 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Feb 2003 15:09:16 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Pakman",
"Ari",
"",
"Hebrew U."
]
] | The unitarity of the NS supersymmetric coset SL(2,R)/U(1) is studied for the discrete representations. The results are applied to the proof of the no-ghost theorem for fermionic strings in AdS(3) x N in the NS sector. A no-ghost theorem is proved for states in flowed discrete representations. |
hep-th/9212137 | Rodolfo Gambini | D. Armand Ugon, R. Gambini, P. Mora | Knot Invariants for Intersecting Loops | 22 pages | Phys.Lett. B305 (1993) 214-222 | 10.1016/0370-2693(93)90110-4 | null | hep-th | null | We generalize the braid algebra to the case of loops with intersections. We
introduce the Reidemeister moves for 4 and 6-valent vertices to have a theory
of rigid vertex equivalence. By considering representations of the extended
braid algebra, we derive skein relations for link polynomials, which allow us
to generalize any link Polynomial to the intersecting case. We perturbatively
show that the HOMFLY Polynomials for intersecting links correspond to the
vacuum expectation value of the Wilson line operator of the Chern Simon's
Theory. We make contact with quantum gravity by showing that these polynomials
are simply related with some solutions of the complete set of constraints with
cosmological constant
| [
{
"created": "Tue, 22 Dec 1992 11:35:46 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Ugon",
"D. Armand",
""
],
[
"Gambini",
"R.",
""
],
[
"Mora",
"P.",
""
]
] | We generalize the braid algebra to the case of loops with intersections. We introduce the Reidemeister moves for 4 and 6-valent vertices to have a theory of rigid vertex equivalence. By considering representations of the extended braid algebra, we derive skein relations for link polynomials, which allow us to generalize any link Polynomial to the intersecting case. We perturbatively show that the HOMFLY Polynomials for intersecting links correspond to the vacuum expectation value of the Wilson line operator of the Chern Simon's Theory. We make contact with quantum gravity by showing that these polynomials are simply related with some solutions of the complete set of constraints with cosmological constant |
hep-th/0409054 | Niklas Beisert | Niklas Beisert | Spin Chain for Quantum Strings | 10 pages, Contribution to RTN and EXT Workshop, Kolymbari, Crete,
Greece, 5-10 September 2004, v2: numerical comparision with spinning strings
added, coefficient of H4 in Tab. 3 corrected | Fortsch.Phys.53:852-860,2005 | 10.1002/prop.200410207 | AEI 2004-070 | hep-th | null | We review and compare the integrable structures in N=4 gauge theory and
string theory on AdS5xS5. Recently, Bethe ansaetze for gauge theory/weak
coupling and string theory/strong coupling were proposed to describe scaling
dimensions in the su(2) subsector. Here we investigate the Bethe equations for
quantum string theory, naively extrapolated to weak coupling. Excitingly, we
find a spin chain Hamiltonian similar, but not equal, to the gauge theory
dilatation operator.
| [
{
"created": "Fri, 3 Sep 2004 20:34:37 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2004 15:39:25 GMT",
"version": "v2"
}
] | 2011-03-23 | [
[
"Beisert",
"Niklas",
""
]
] | We review and compare the integrable structures in N=4 gauge theory and string theory on AdS5xS5. Recently, Bethe ansaetze for gauge theory/weak coupling and string theory/strong coupling were proposed to describe scaling dimensions in the su(2) subsector. Here we investigate the Bethe equations for quantum string theory, naively extrapolated to weak coupling. Excitingly, we find a spin chain Hamiltonian similar, but not equal, to the gauge theory dilatation operator. |
hep-th/0101121 | Arno Bohm | A.R.Bohm, R.de la Madrid, B.A.Tay, P.Kielanowski | Time Asymmetric Boundary Conditions and the Definition of Mass and Width
for Relativistic Resonances | 21 pages revtex file | null | null | null | hep-th math-ph math.MP quant-ph | null | The definition of mass and width of relativistic resonances and in particular
of the $Z$-boson is discussed. For this we use the theory based on time
asymmetric boundary conditions given by Hardy class spaces ${\mathbf \Phi}_-$
and ${\mathbf \Phi}_+$ for prepared in-states and detected out-states
respectively, rather than time symmetric Hilbert space theory. This Hardy class
boundary condition is a mathematically rigorous form of the singular
Lippmann-Schwinger equation. In addition to the rigorous definition of the
Lippmann-Schwinger kets $|[j,{\mathsf s}]^{\pm}>$ as functionals on the spaces
${\mathbf \Phi}_{\mp}$, one obtains Gamow kets $|[j,{\mathsf s}_R]^- >$ with
complex centre-of-mass energy value ${\mathsf s}_R=(M_R-i\Gamma_R/2)^2$. The
Gamow kets have an exponential time evolution given by
$\exp{(-iM_Rt-\Gamma_Rt/2)}$ which suggests that $(M_R,\Gamma_R)$ is the right
definition of the mass and width of a resonance. This is different from the two
definitions of the $Z$-boson mass and width used in the Particle Data Table and
leads to a numerical value of $M_R=(91.1626\pm 0.0031) {\rm GeV}$ from the
$Z$-boson lineshape data.
| [
{
"created": "Thu, 18 Jan 2001 01:01:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bohm",
"A. R.",
""
],
[
"de la Madrid",
"R.",
""
],
[
"Tay",
"B. A.",
""
],
[
"Kielanowski",
"P.",
""
]
] | The definition of mass and width of relativistic resonances and in particular of the $Z$-boson is discussed. For this we use the theory based on time asymmetric boundary conditions given by Hardy class spaces ${\mathbf \Phi}_-$ and ${\mathbf \Phi}_+$ for prepared in-states and detected out-states respectively, rather than time symmetric Hilbert space theory. This Hardy class boundary condition is a mathematically rigorous form of the singular Lippmann-Schwinger equation. In addition to the rigorous definition of the Lippmann-Schwinger kets $|[j,{\mathsf s}]^{\pm}>$ as functionals on the spaces ${\mathbf \Phi}_{\mp}$, one obtains Gamow kets $|[j,{\mathsf s}_R]^- >$ with complex centre-of-mass energy value ${\mathsf s}_R=(M_R-i\Gamma_R/2)^2$. The Gamow kets have an exponential time evolution given by $\exp{(-iM_Rt-\Gamma_Rt/2)}$ which suggests that $(M_R,\Gamma_R)$ is the right definition of the mass and width of a resonance. This is different from the two definitions of the $Z$-boson mass and width used in the Particle Data Table and leads to a numerical value of $M_R=(91.1626\pm 0.0031) {\rm GeV}$ from the $Z$-boson lineshape data. |
0909.0689 | Fabio Ferrari Ruffino | Fabio Ferrari Ruffino | Topics on the geometry of D-brane charges and Ramond-Ramond fields | 29 pages, no figures | JHEP 0911:012,2009 | 10.1088/1126-6708/2009/11/012 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss some topics on the geometry of type II superstring
backgrounds with D-branes, in particular on the geometrical meaning of the
D-brane charge, the Ramond-Ramond fields and the Wess-Zumino action. We see
that, depending on the behaviour of the D-brane on the four non-compact
space-time directions, we need different notions of homology and cohomology to
discuss the associated fields and charge: we give a mathematical definition of
such notions and show their physical applications. We then discuss the problem
of corretly defining Wess-Zumino action using the theory of p-gerbes. Finally,
we recall the so-called *-problem and make some brief remarks about it.
| [
{
"created": "Thu, 3 Sep 2009 15:47:01 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Sep 2009 12:48:20 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Oct 2009 18:59:28 GMT",
"version": "v3"
}
] | 2009-11-18 | [
[
"Ruffino",
"Fabio Ferrari",
""
]
] | In this paper we discuss some topics on the geometry of type II superstring backgrounds with D-branes, in particular on the geometrical meaning of the D-brane charge, the Ramond-Ramond fields and the Wess-Zumino action. We see that, depending on the behaviour of the D-brane on the four non-compact space-time directions, we need different notions of homology and cohomology to discuss the associated fields and charge: we give a mathematical definition of such notions and show their physical applications. We then discuss the problem of corretly defining Wess-Zumino action using the theory of p-gerbes. Finally, we recall the so-called *-problem and make some brief remarks about it. |
1801.00206 | Olaf Lechtenfeld | Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld, Stepan Sidorov | Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems | 1+35 pages, v2: introduction extended, minor changes, published
version | null | 10.1007/JHEP04(2018)043 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | ${\rm SU}(2|1)$ supersymmetric multi-particle quantum mechanics with
additional semi-dynamical spin degrees of freedom is considered. In particular,
we provide an $\mathcal{N}{=}\,4$ supersymmetrization of the quantum ${\rm
U}(2)$ spin Calogero-Moser model, with an intrinsic mass parameter coming from
the centrally-extended superalgebra $\widehat{su}(2|1)$. The full system admits
an ${\rm SU}(2|1)$ covariant separation into the center-of-mass sector and the
quotient. We derive explicit expressions for the classical and quantum ${\rm
SU}(2|1)$ generators in both sectors as well as for the total system, and we
determine the relevant energy spectra, degeneracies, and the sets of physical
states.
| [
{
"created": "Sat, 30 Dec 2017 22:40:05 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Apr 2018 16:38:45 GMT",
"version": "v2"
}
] | 2018-05-09 | [
[
"Fedoruk",
"Sergey",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Sidorov",
"Stepan",
""
]
] | ${\rm SU}(2|1)$ supersymmetric multi-particle quantum mechanics with additional semi-dynamical spin degrees of freedom is considered. In particular, we provide an $\mathcal{N}{=}\,4$ supersymmetrization of the quantum ${\rm U}(2)$ spin Calogero-Moser model, with an intrinsic mass parameter coming from the centrally-extended superalgebra $\widehat{su}(2|1)$. The full system admits an ${\rm SU}(2|1)$ covariant separation into the center-of-mass sector and the quotient. We derive explicit expressions for the classical and quantum ${\rm SU}(2|1)$ generators in both sectors as well as for the total system, and we determine the relevant energy spectra, degeneracies, and the sets of physical states. |
hep-th/0606068 | Brett McInnes | Brett McInnes | Unitarity at Infinity and Topological Holography | 18 pages including 2 eps files | Nucl.Phys.B754:91-106,2006 | 10.1016/j.nuclphysb.2006.07.016 | null | hep-th astro-ph | null | Recently it has been suggested that non-gaussian inflationary perturbations
can be usefully analysed in terms of a putative dual gauge theory defined on
the future conformal infinity generated by an accelerating cosmology. The
problem is that unitarity of this gauge theory implies a strong constraint [the
"Strominger bound"] on the matter fields in the bulk. We argue that the bound
is just a reflection of the equation of state of cosmological matter. The
details motivate a discussion of the possible relevance of the ``dS/CFT
correspondence" to the resolution of the Big Bang singularity. It is argued
that the correspondence may require the Universe to come into existence along a
non-singular spacelike hypersurface, as in the theories of ``creation from
nothing" discussed by Firouzjahi, Sarangi, and Tye, and also by Ooguri et al.
The argument makes use of the unusual properties of gauge theories defined on
topologically non-trivial spaces.
| [
{
"created": "Thu, 8 Jun 2006 08:48:36 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2006 09:01:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"McInnes",
"Brett",
""
]
] | Recently it has been suggested that non-gaussian inflationary perturbations can be usefully analysed in terms of a putative dual gauge theory defined on the future conformal infinity generated by an accelerating cosmology. The problem is that unitarity of this gauge theory implies a strong constraint [the "Strominger bound"] on the matter fields in the bulk. We argue that the bound is just a reflection of the equation of state of cosmological matter. The details motivate a discussion of the possible relevance of the ``dS/CFT correspondence" to the resolution of the Big Bang singularity. It is argued that the correspondence may require the Universe to come into existence along a non-singular spacelike hypersurface, as in the theories of ``creation from nothing" discussed by Firouzjahi, Sarangi, and Tye, and also by Ooguri et al. The argument makes use of the unusual properties of gauge theories defined on topologically non-trivial spaces. |
hep-th/9201008 | Satoshi Matsuda | Satoshi Matsuda | Coulomb Gas Representations and Screening Operators of the N=4
Superconformal Algebras | 16 pages | Phys.Lett. B282 (1992) 56-62 | 10.1016/0370-2693(92)90479-N | null | hep-th | null | The Coulomb gas representations are presented for the ${\rm
SU(2)}$$_k$-extended $N$=4 superconformal algebras, incorporating the
Feigin-Fuchs representation of the\break ${\rm SU(2)}$$_k$ Kac-Moody algebra
with {\sl arbitrary} level $k$. Then the long-standing problem of identifying
the whole set of charge-screening operators for the $N$=4 superconformal
algebras is solved and their explicit expressions are given. The method of
achieving a rigorous proof of the $N$=4 Kac determinant formulae following Kato
and Matsuda is suggested. The complete proof for them will be given elsewhere.
Our results for the screening operators also provide the basis for studying the
BRST formalism of the $N$=4 superconformal algebras ${\sl {\grave a}\ la}$
Felder.
| [
{
"created": "Tue, 7 Jan 1992 05:46:07 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Matsuda",
"Satoshi",
""
]
] | The Coulomb gas representations are presented for the ${\rm SU(2)}$$_k$-extended $N$=4 superconformal algebras, incorporating the Feigin-Fuchs representation of the\break ${\rm SU(2)}$$_k$ Kac-Moody algebra with {\sl arbitrary} level $k$. Then the long-standing problem of identifying the whole set of charge-screening operators for the $N$=4 superconformal algebras is solved and their explicit expressions are given. The method of achieving a rigorous proof of the $N$=4 Kac determinant formulae following Kato and Matsuda is suggested. The complete proof for them will be given elsewhere. Our results for the screening operators also provide the basis for studying the BRST formalism of the $N$=4 superconformal algebras ${\sl {\grave a}\ la}$ Felder. |
hep-th/0703033 | Kin-ya Oda | Oscar Loaiza-Brito and Kin-ya Oda | Effects of brane-flux transition on black holes in string theory | Version appearing in JHEP, minor corrections, reference added, some
points clarified (v3); References added, extra RR flux turned on in the
initial setup to assure N=2 supersymmtry, explanations added, conclusions
unchanged (v2); 18pages, 1 figure (v1) | JHEP 0708:002,2007 | 10.1088/1126-6708/2007/08/002 | CINVESTAV-MTY/07-025, RIKEN-TH-92 | hep-th gr-qc hep-ph | null | Extremal N=2 black holes in four dimensions can be described by an ensemble
of D3-branes wrapped on internal supersymmetric three-cycles of Calabi-Yau
threefolds on which type IIB superstring theory is compactified. We construct a
similar configuration, with extra RR and NS-NS three-form fluxes being turned
on. We can avoid the Freed-Witten anomaly on the D3-branes by enforcing the
pullback of these extra fluxes to the D3-branes to vanish at the classical
level. In the setup the D3-brane charge is not conserved since it is classified
as a trivial class in twisted K-theory. Consequently, the D3-branes may
disappear by encountering an instantonic D5-brane localized in time. We discuss
what happens on the black hole described by such disappearing D3-branes,
relying mainly on topological arguments. Especially, we argue that another RR
three-form flux will be left as a lump of remnant which is localized in the
uncompactified four-dimensional space-time and that it may carry the same
amount of degrees of freedom to describe a black hole, in cooperation with the
original NS-NS flux, after this transition of the D3-branes.
| [
{
"created": "Mon, 5 Mar 2007 08:32:47 GMT",
"version": "v1"
},
{
"created": "Fri, 4 May 2007 22:35:18 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Aug 2007 13:08:39 GMT",
"version": "v3"
}
] | 2014-11-18 | [
[
"Loaiza-Brito",
"Oscar",
""
],
[
"Oda",
"Kin-ya",
""
]
] | Extremal N=2 black holes in four dimensions can be described by an ensemble of D3-branes wrapped on internal supersymmetric three-cycles of Calabi-Yau threefolds on which type IIB superstring theory is compactified. We construct a similar configuration, with extra RR and NS-NS three-form fluxes being turned on. We can avoid the Freed-Witten anomaly on the D3-branes by enforcing the pullback of these extra fluxes to the D3-branes to vanish at the classical level. In the setup the D3-brane charge is not conserved since it is classified as a trivial class in twisted K-theory. Consequently, the D3-branes may disappear by encountering an instantonic D5-brane localized in time. We discuss what happens on the black hole described by such disappearing D3-branes, relying mainly on topological arguments. Especially, we argue that another RR three-form flux will be left as a lump of remnant which is localized in the uncompactified four-dimensional space-time and that it may carry the same amount of degrees of freedom to describe a black hole, in cooperation with the original NS-NS flux, after this transition of the D3-branes. |
1707.06989 | Javier Tarrio | Anton F. Faedo, David Mateos, Christiana Pantelidou and Javier Tarrio | Towards a Holographic Quark Matter Crystal | 38 pages plus appendices, 25 figures. v2: minor changes, published
version. v3: erratum version: conclusions unchanged, discussion and figures
modified consequently | null | 10.1007/JHEP10(2017)139 | ICCUB-17-013 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the gravity dual of $d=4$, $\mathcal{N}=4$, SU($N_\rm{c}$) super
Yang-Mills theory, coupled to $N_\rm{f}$ flavors of dynamical quarks, at
non-zero temperature $T$ and non-zero quark density $N_\rm{q}$. The
supergravity solutions possess a regular horizon if $T>0$ and include the
backreaction of $N_\rm{c}$ color D3-branes and $N_\rm{f}$ flavor D7-branes with
$N_\rm{q}$ units of electric flux on their worldvolume. At zero temperature the
solutions interpolate between a Landau pole singularity in the ultraviolet and
a Lifshitz geometry in the infrared. At high temperature the thermodynamics is
directly sensitive to the Landau pole, whereas at low temperature it is not, as
expected from effective field theory. At low temperature and sufficiently high
charge density we find thermodynamic and dynamic instabilities towards the
spontaneous breaking of translation invariance.
| [
{
"created": "Fri, 21 Jul 2017 17:43:48 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Oct 2017 14:59:13 GMT",
"version": "v2"
},
{
"created": "Mon, 1 Jul 2019 08:19:33 GMT",
"version": "v3"
}
] | 2019-07-02 | [
[
"Faedo",
"Anton F.",
""
],
[
"Mateos",
"David",
""
],
[
"Pantelidou",
"Christiana",
""
],
[
"Tarrio",
"Javier",
""
]
] | We construct the gravity dual of $d=4$, $\mathcal{N}=4$, SU($N_\rm{c}$) super Yang-Mills theory, coupled to $N_\rm{f}$ flavors of dynamical quarks, at non-zero temperature $T$ and non-zero quark density $N_\rm{q}$. The supergravity solutions possess a regular horizon if $T>0$ and include the backreaction of $N_\rm{c}$ color D3-branes and $N_\rm{f}$ flavor D7-branes with $N_\rm{q}$ units of electric flux on their worldvolume. At zero temperature the solutions interpolate between a Landau pole singularity in the ultraviolet and a Lifshitz geometry in the infrared. At high temperature the thermodynamics is directly sensitive to the Landau pole, whereas at low temperature it is not, as expected from effective field theory. At low temperature and sufficiently high charge density we find thermodynamic and dynamic instabilities towards the spontaneous breaking of translation invariance. |
1003.2566 | Andreas Albrecht | Andreas Albrecht and Alberto Iglesias | Lorentz symmetry from a random Hamiltonian | 8 pages, 6 figures. V2: Final version accepted for publication in
PRD. Discussion improved throughout, including clarification of the fact that
we address our key questions only at the level of the dispersion relation. No
change to our technical work or results | Phys. Rev. D 91, 043529 (2015) | 10.1103/PhysRevD.91.043529 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We match the density of energy eigenstates of a local field theory with that
of a random Hamiltonian order by order in a Taylor expansion. In our previous
work we assumed Lorentz symmetry of the field theory, which entered through the
dispersion relation. Here we extend that work to consider a generalized
dispersion relation and show that the Lorentz symmetric case is preferred, in
that the Lorentz symmetric dispersion relation gives a better approximation to
a random Hamiltonian than the other local dispersion relations we considered.
| [
{
"created": "Fri, 12 Mar 2010 15:58:42 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Feb 2015 19:14:00 GMT",
"version": "v2"
}
] | 2015-03-13 | [
[
"Albrecht",
"Andreas",
""
],
[
"Iglesias",
"Alberto",
""
]
] | We match the density of energy eigenstates of a local field theory with that of a random Hamiltonian order by order in a Taylor expansion. In our previous work we assumed Lorentz symmetry of the field theory, which entered through the dispersion relation. Here we extend that work to consider a generalized dispersion relation and show that the Lorentz symmetric case is preferred, in that the Lorentz symmetric dispersion relation gives a better approximation to a random Hamiltonian than the other local dispersion relations we considered. |
2210.16523 | Jarah Evslin | Jarah Evslin, Andrew B. Royston and Baiyang Zhang | Cut-Off Kinks | 21+15 pages, 1 PDF figure | null | 10.1007/JHEP01(2023)073 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We answer the question: If a vacuum sector Hamiltonian is regularized by an
energy cutoff, how is the one-kink sector Hamiltonian regularized? We find that
it is not regularized by an energy cutoff, indeed normal modes of all energies
are present in the kink Hamiltonian, but rather the decomposition of the field
into normal mode operators yields coefficients which lie on a constrained
surface that forces them to become small for energies above the cutoff. This
explains the old observation that an energy cutoff of the kink Hamiltonian
leads to an incorrect one-loop kink mass. To arrive at our conclusion, we
impose that the regularized kink sector Hamiltonian is unitarily equivalent to
the regularized vacuum sector Hamiltonian. This condition implies that the two
regularized Hamiltonians have the same spectrum and so guarantees that the kink
Hamiltonian yields the correct kink mass.
| [
{
"created": "Sat, 29 Oct 2022 07:30:40 GMT",
"version": "v1"
}
] | 2023-02-01 | [
[
"Evslin",
"Jarah",
""
],
[
"Royston",
"Andrew B.",
""
],
[
"Zhang",
"Baiyang",
""
]
] | We answer the question: If a vacuum sector Hamiltonian is regularized by an energy cutoff, how is the one-kink sector Hamiltonian regularized? We find that it is not regularized by an energy cutoff, indeed normal modes of all energies are present in the kink Hamiltonian, but rather the decomposition of the field into normal mode operators yields coefficients which lie on a constrained surface that forces them to become small for energies above the cutoff. This explains the old observation that an energy cutoff of the kink Hamiltonian leads to an incorrect one-loop kink mass. To arrive at our conclusion, we impose that the regularized kink sector Hamiltonian is unitarily equivalent to the regularized vacuum sector Hamiltonian. This condition implies that the two regularized Hamiltonians have the same spectrum and so guarantees that the kink Hamiltonian yields the correct kink mass. |
1303.2287 | Kazuki Hasebe | Kazuki Hasebe and Keisuke Totsuka | Topological Many-Body States in Quantum Antiferromagnets via Fuzzy
Super-Geometry | Review article, 1+104 pages, 37 figures, published version | Symmetry 5 (2013) 119-214 | null | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent vigorous investigations of topological order have not only discovered
new topological states of matter but also shed new light to "already known"
topological states. One established example with topological order is the
valence bond solid (VBS) states in quantum antiferromagnets. The VBS states are
disordered spin liquids with no spontaneous symmetry breaking but most
typically manifest topological order known as hidden string order on 1D chain.
Interestingly, the VBS models are based on mathematics analogous to fuzzy
geometry. We review applications of the mathematics of fuzzy super-geometry in
the construction of supersymmetric versions of VBS (SVBS) states, and give a
pedagogical introduction of SVBS models and their properties [arXiv:0809.4885,
1105.3529, 1210.0299]. As concrete examples, we present detail analysis of
supersymmetric versions of SU(2) and SO(5) VBS states, i.e. UOSp(N|2) and
UOSp(N|4) SVBS states whose mathematics are closely related to fuzzy two- and
four-superspheres. The SVBS states are physically interpreted as hole-doped VBS
states with superconducting property that interpolate various VBS states
depending on value of a hole-doping parameter. The parent Hamiltonians for SVBS
states are explicitly constructed, and their gapped excitations are derived
within the single-mode approximation on 1D SVBS chains. Prominent features of
the SVBS chains are discussed in detail, such as a generalized string order
parameter and entanglement spectra. It is realized that the entanglement
spectra are at least doubly degenerate regardless of the parity of bulk
(super)spins. Stability of topological phase with supersymmetry is discussed
with emphasis on its relation to particular edge (super)spin states.
| [
{
"created": "Sun, 10 Mar 2013 04:51:27 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2013 10:59:58 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Apr 2013 03:22:39 GMT",
"version": "v3"
}
] | 2013-04-30 | [
[
"Hasebe",
"Kazuki",
""
],
[
"Totsuka",
"Keisuke",
""
]
] | Recent vigorous investigations of topological order have not only discovered new topological states of matter but also shed new light to "already known" topological states. One established example with topological order is the valence bond solid (VBS) states in quantum antiferromagnets. The VBS states are disordered spin liquids with no spontaneous symmetry breaking but most typically manifest topological order known as hidden string order on 1D chain. Interestingly, the VBS models are based on mathematics analogous to fuzzy geometry. We review applications of the mathematics of fuzzy super-geometry in the construction of supersymmetric versions of VBS (SVBS) states, and give a pedagogical introduction of SVBS models and their properties [arXiv:0809.4885, 1105.3529, 1210.0299]. As concrete examples, we present detail analysis of supersymmetric versions of SU(2) and SO(5) VBS states, i.e. UOSp(N|2) and UOSp(N|4) SVBS states whose mathematics are closely related to fuzzy two- and four-superspheres. The SVBS states are physically interpreted as hole-doped VBS states with superconducting property that interpolate various VBS states depending on value of a hole-doping parameter. The parent Hamiltonians for SVBS states are explicitly constructed, and their gapped excitations are derived within the single-mode approximation on 1D SVBS chains. Prominent features of the SVBS chains are discussed in detail, such as a generalized string order parameter and entanglement spectra. It is realized that the entanglement spectra are at least doubly degenerate regardless of the parity of bulk (super)spins. Stability of topological phase with supersymmetry is discussed with emphasis on its relation to particular edge (super)spin states. |
hep-th/9205012 | null | B. de Wit, M.T. Grisaru, E. Rabinovici, H. Nicolai | Two-loop finiteness of D=2 supergravity | 11 pages | Phys.Lett. B286 (1992) 78-84 | 10.1016/0370-2693(92)90161-V | null | hep-th | null | We establish two-loop (on shell) finiteness of certain supergravity theories
in two dimensions. Possible implications of this result are discussed
| [
{
"created": "Thu, 7 May 1992 09:17:51 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"de Wit",
"B.",
""
],
[
"Grisaru",
"M. T.",
""
],
[
"Rabinovici",
"E.",
""
],
[
"Nicolai",
"H.",
""
]
] | We establish two-loop (on shell) finiteness of certain supergravity theories in two dimensions. Possible implications of this result are discussed |
hep-th/9504104 | Ali Yegulalp | Ali Yegulalp (Princeton University) | New Boundary Conformal Field Theories Indexed by the Simply-Laced Lie
Algebras | 24 pages in plain tex, requires harvmac.tex | Nucl.Phys. B450 (1995) 641-662 | 10.1016/0550-3213(95)00330-U | PUPT-1538 | hep-th | null | We consider the field theory of $N$ massless bosons which are free except for
an interaction localized on the boundary of their 1+1 dimensional world. The
boundary action is the sum of two pieces: a periodic potential and a coupling
to a uniform abelian gauge field. Such models arise in open string theory and
dissipative quantum mechanics, and possibly in edge state tunneling in the
fractional quantized Hall effect. We explicitly show that conformal invariance
is unbroken for certain special choices of the gauge field and the periodic
potential. These special cases are naturally indexed by semi-simple, simply
laced Lie algebras. For each such algebra, we have a discrete series of
conformally invariant theories where the potential and gauge field are
conveniently given in terms of the weight lattice of the algebra. We compute
the exact boundary state for these theories, which explicitly shows the group
structure. The partition function and correlation functions are easily computed
using the boundary state result.
| [
{
"created": "Thu, 20 Apr 1995 15:58:53 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Yegulalp",
"Ali",
"",
"Princeton University"
]
] | We consider the field theory of $N$ massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a uniform abelian gauge field. Such models arise in open string theory and dissipative quantum mechanics, and possibly in edge state tunneling in the fractional quantized Hall effect. We explicitly show that conformal invariance is unbroken for certain special choices of the gauge field and the periodic potential. These special cases are naturally indexed by semi-simple, simply laced Lie algebras. For each such algebra, we have a discrete series of conformally invariant theories where the potential and gauge field are conveniently given in terms of the weight lattice of the algebra. We compute the exact boundary state for these theories, which explicitly shows the group structure. The partition function and correlation functions are easily computed using the boundary state result. |
2207.11980 | Adar Sharon | Micha Berkooz, Adar Sharon, Navot Silberstein and Erez Y. Urbach | Onset of Quantum Chaos in Random Field Theories | This is a summary of the more detailed article arXiv:2111.06108, to
be published in PRL | null | 10.1103/PhysRevLett.129.071601 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the quantum Lyapunov exponent $\lambda_L$ in theories with
spacetime-independent disorder. We first derive self-consistency equations for
the two- and four-point functions for products of $N$ models coupled by
disorder at large $N$, generalizing the equations appearing in SYK-like models.
We then study families of theories in which the disorder coupling is an exactly
marginal deformation, allowing us to follow $\lambda_L$ from weak to strong
coupling. We find interesting behaviors, including a discontinuous transition
into chaos, mimicking classical KAM theory.
| [
{
"created": "Mon, 25 Jul 2022 08:39:27 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2022 10:31:34 GMT",
"version": "v2"
}
] | 2022-08-31 | [
[
"Berkooz",
"Micha",
""
],
[
"Sharon",
"Adar",
""
],
[
"Silberstein",
"Navot",
""
],
[
"Urbach",
"Erez Y.",
""
]
] | We study the quantum Lyapunov exponent $\lambda_L$ in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of $N$ models coupled by disorder at large $N$, generalizing the equations appearing in SYK-like models. We then study families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow $\lambda_L$ from weak to strong coupling. We find interesting behaviors, including a discontinuous transition into chaos, mimicking classical KAM theory. |
1006.0779 | Chanyong Park | Bum-Hoon Lee, Siyoung Nam, Da-Wei Pang, and Chanyong Park | Conductivity in the anisotropic background | 22 pages, 13 figures, added some comments and references | Phys.Rev.D83:066005,2011 | 10.1103/PhysRevD.83.066005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By using the gauge/gravity duality, we investigate the dual field theories of
the anisotropic backgrounds, which are exact solutions of
Einstein-Maxwell-dilaton theory with a Liouville potential. When we turn on the
bulk gauge field fluctuation $A_x$ with a non-trivial dilaton coupling, the AC
conductivity of this dual field theory is proportional to the frequency with an
exponent depending on parameters of the anisotropic background. In some
parameter regions, we find that this conductivity can have the negative
exponent like the strange metal. In addition, we also investigate another U(1)
gauge field fluctuation, which is not coupled with a dilaton field. We classify
all possible conductivities of this system and find that the exponent of the
conductivity is always positive.
| [
{
"created": "Fri, 4 Jun 2010 05:34:17 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Jul 2010 02:47:05 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Feb 2011 02:28:04 GMT",
"version": "v3"
}
] | 2011-03-21 | [
[
"Lee",
"Bum-Hoon",
""
],
[
"Nam",
"Siyoung",
""
],
[
"Pang",
"Da-Wei",
""
],
[
"Park",
"Chanyong",
""
]
] | By using the gauge/gravity duality, we investigate the dual field theories of the anisotropic backgrounds, which are exact solutions of Einstein-Maxwell-dilaton theory with a Liouville potential. When we turn on the bulk gauge field fluctuation $A_x$ with a non-trivial dilaton coupling, the AC conductivity of this dual field theory is proportional to the frequency with an exponent depending on parameters of the anisotropic background. In some parameter regions, we find that this conductivity can have the negative exponent like the strange metal. In addition, we also investigate another U(1) gauge field fluctuation, which is not coupled with a dilaton field. We classify all possible conductivities of this system and find that the exponent of the conductivity is always positive. |
2402.01075 | Maximilian Becker | Maximilian Becker, Alexander Kurov, and Frank Saueressig | On the origin of almost-Gaussian scaling in asymptotically safe quantum
gravity | 30 pages, 5 figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The gravitational asymptotic safety program envisions the high-energy
completion of gravity through an interacting renormalization group fixed point,
the Reuter fixed point. The predictive power of the construction is encoded in
the spectrum of the stability matrix which is obtained from linearizing the
renormalization group flow around this fixed point. A key result of the
asymptotic safety program is that parts of this spectrum exhibits an
almost-Gaussian scaling behavior, entailing that operators which are
classically highly UV-irrelevant do not induce new free parameters. In this
article, we track down the origin of this property by contrasting the structure
of the stability matrix computed from the Wetterich equation and the Composite
Operator equation within the realm of f(R)-truncations. We show that the
almost-Gaussian scaling is not linked to the classical part of the beta
functions. It is a quantum-induced almost-Gaussian scaling originating from the
quantum corrections in the flow equation. It relies on a subtle interplay among
the analytic structure of the theory's two-point function and the way the
Wetterich equation integrates out fluctuation modes. As a byproduct we
determine the parts of the eigenmode spectrum which is robust with respect to
changing the regularization procedure.
| [
{
"created": "Fri, 2 Feb 2024 00:22:58 GMT",
"version": "v1"
}
] | 2024-02-05 | [
[
"Becker",
"Maximilian",
""
],
[
"Kurov",
"Alexander",
""
],
[
"Saueressig",
"Frank",
""
]
] | The gravitational asymptotic safety program envisions the high-energy completion of gravity through an interacting renormalization group fixed point, the Reuter fixed point. The predictive power of the construction is encoded in the spectrum of the stability matrix which is obtained from linearizing the renormalization group flow around this fixed point. A key result of the asymptotic safety program is that parts of this spectrum exhibits an almost-Gaussian scaling behavior, entailing that operators which are classically highly UV-irrelevant do not induce new free parameters. In this article, we track down the origin of this property by contrasting the structure of the stability matrix computed from the Wetterich equation and the Composite Operator equation within the realm of f(R)-truncations. We show that the almost-Gaussian scaling is not linked to the classical part of the beta functions. It is a quantum-induced almost-Gaussian scaling originating from the quantum corrections in the flow equation. It relies on a subtle interplay among the analytic structure of the theory's two-point function and the way the Wetterich equation integrates out fluctuation modes. As a byproduct we determine the parts of the eigenmode spectrum which is robust with respect to changing the regularization procedure. |
0808.1892 | Roman Buniy | Roman V. Buniy and Thomas W. Kephart | Higher order Josephson effects | 8 pages, 2 figures | J.Phys.A43:225301,2010 | 10.1088/1751-8113/43/22/225301 | IUHET-518 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gaussian linking of superconducting loops containing Josephson junctions with
enclosed magnetic fields give rise to interference shifts in the phase that
modulates the current carried through the loop, proportional to the magnitude
of the enclosed flux. We generalize these results to higher order linking of a
superconducting loop with several magnetic solenoids, and show there may be
interference shifts proportional to the product of two or more fluxes.
| [
{
"created": "Wed, 13 Aug 2008 20:03:23 GMT",
"version": "v1"
}
] | 2010-05-25 | [
[
"Buniy",
"Roman V.",
""
],
[
"Kephart",
"Thomas W.",
""
]
] | Gaussian linking of superconducting loops containing Josephson junctions with enclosed magnetic fields give rise to interference shifts in the phase that modulates the current carried through the loop, proportional to the magnitude of the enclosed flux. We generalize these results to higher order linking of a superconducting loop with several magnetic solenoids, and show there may be interference shifts proportional to the product of two or more fluxes. |
2404.11021 | Chongye Chen | Chong-Ye Chen, Mu-Jing Li, Zhe Yang, Da-Ming Jin, and Peng Liu | Diagnosing Emergent Isotropy in Anisotropic Holographic Systems using
Quantum Information Measures | 37 pages, 15 figures, minor revision, ref and technical details added | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | This study presents a comprehensive investigation of anisotropy in a
holographic p-wave superconductor model, revealing novel insights into the
behavior of quantum information measures in strongly coupled systems. Through
rigorous semi-analytical methods, we uncover the existence of an isotropic
point emerging at a critical temperature $T_{II}$, marking a significant
transition in the system's anisotropic properties. We offer a systematic
analysis of the mechanisms driving anisotropy and isotropy transitions, finding
that this phenomenon is unique to the p-wave model and absent in other
anisotropic systems like anisotropic axion models with metal-insulator
transitions. We propose that the explicit component dependence of the vector
field manifesting anisotropy is the key driver of the emergent isotropy. Our
analysis of holographic entanglement entropy (HEE), entanglement wedge
cross-section (EWCS), and butterfly velocity demonstrates their distinct
sensitivities to bulk anisotropy, with EWCS and butterfly velocity emerging as
superior probes for detecting the isotropic point.
| [
{
"created": "Wed, 17 Apr 2024 02:56:11 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jul 2024 16:01:12 GMT",
"version": "v2"
}
] | 2024-07-10 | [
[
"Chen",
"Chong-Ye",
""
],
[
"Li",
"Mu-Jing",
""
],
[
"Yang",
"Zhe",
""
],
[
"Jin",
"Da-Ming",
""
],
[
"Liu",
"Peng",
""
]
] | This study presents a comprehensive investigation of anisotropy in a holographic p-wave superconductor model, revealing novel insights into the behavior of quantum information measures in strongly coupled systems. Through rigorous semi-analytical methods, we uncover the existence of an isotropic point emerging at a critical temperature $T_{II}$, marking a significant transition in the system's anisotropic properties. We offer a systematic analysis of the mechanisms driving anisotropy and isotropy transitions, finding that this phenomenon is unique to the p-wave model and absent in other anisotropic systems like anisotropic axion models with metal-insulator transitions. We propose that the explicit component dependence of the vector field manifesting anisotropy is the key driver of the emergent isotropy. Our analysis of holographic entanglement entropy (HEE), entanglement wedge cross-section (EWCS), and butterfly velocity demonstrates their distinct sensitivities to bulk anisotropy, with EWCS and butterfly velocity emerging as superior probes for detecting the isotropic point. |
1201.5057 | Sara Angela Filippini | Sergio Luigi Cacciatori and Sara Angela Filippini | The E^3/Z3 orbifold, mirror symmetry, and Hodge structures of Calabi-Yau
type | 33 pages | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the K\"ahler moduli space of the rigid orbifold
Z=E^3/\mathbb{Z}_3 one would expect for the cohomology of the generalized
mirror to be a Hodge structure of Calabi-Yau type (1,9,9,1). We show that such
a structure arises in a natural way from rational Hodge structures on \Lambda^3
\mathbb{K}^6, \mathbb{K}=\mathbb{Q}[\omega], where \omega is a primitive third
root of unity. We do not try to identify an underlying geometry, but we show
how special geometry arises in our abstract construction. We also show how such
Hodge structure can be recovered as a polarized substructure of a bigger Hodge
structure given by the third cohomology group of a six-dimensional Abelian
variety of Weil type.
| [
{
"created": "Tue, 24 Jan 2012 17:20:08 GMT",
"version": "v1"
}
] | 2012-01-25 | [
[
"Cacciatori",
"Sergio Luigi",
""
],
[
"Filippini",
"Sara Angela",
""
]
] | Starting from the K\"ahler moduli space of the rigid orbifold Z=E^3/\mathbb{Z}_3 one would expect for the cohomology of the generalized mirror to be a Hodge structure of Calabi-Yau type (1,9,9,1). We show that such a structure arises in a natural way from rational Hodge structures on \Lambda^3 \mathbb{K}^6, \mathbb{K}=\mathbb{Q}[\omega], where \omega is a primitive third root of unity. We do not try to identify an underlying geometry, but we show how special geometry arises in our abstract construction. We also show how such Hodge structure can be recovered as a polarized substructure of a bigger Hodge structure given by the third cohomology group of a six-dimensional Abelian variety of Weil type. |
hep-th/9701038 | Antonio J. Segui Santonja | Luis J. Boya and Antonio J. Segui-Santonja (Departamento de Fisica
Teorica. Universidad de Zaragoza) | Topological charges and the genus of surfaces | 8 pages, Latex. To be published in Journal of Geommetry and Physics | J.Geom.Phys. 23 (1997) 76-82 | 10.1016/S0393-0440(96)00048-4 | DFTUZ-2-97 | hep-th dg-ga math.DG | null | We show that the topological charge of the n-soliton solution of the
sine-Gordon equation n is related to the genus g > 1 of a constant negative
curvature compact surface described by this configuration. The relation is
n=2(g-1), where n is even. The moduli space of complex dimension B(g)=3(g-1)
corresponds precisely to the freedom to choosing the configuration with n
solitons of arbitrary positions and velocities. We speculate also that the odd
soliton states will describe the unoriented surfaces.
| [
{
"created": "Fri, 10 Jan 1997 12:02:08 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Boya",
"Luis J.",
"",
"Departamento de Fisica\n Teorica. Universidad de Zaragoza"
],
[
"Segui-Santonja",
"Antonio J.",
"",
"Departamento de Fisica\n Teorica. Universidad de Zaragoza"
]
] | We show that the topological charge of the n-soliton solution of the sine-Gordon equation n is related to the genus g > 1 of a constant negative curvature compact surface described by this configuration. The relation is n=2(g-1), where n is even. The moduli space of complex dimension B(g)=3(g-1) corresponds precisely to the freedom to choosing the configuration with n solitons of arbitrary positions and velocities. We speculate also that the odd soliton states will describe the unoriented surfaces. |
hep-th/9912175 | Donam Youm | Donam Youm | Probing Solitons in Brane Worlds | 18 pages, LaTeX, version to appear in Nucl. Phys. B, new references
added, minor errors corrected | Nucl.Phys. B576 (2000) 123-138 | 10.1016/S0550-3213(00)00076-6 | CERN-TH/99-409 | hep-th gr-qc | null | We study dynamics of a probe p-brane and a test particle in the field
background of fully localized solutions describing the source p-brane within
the worldvolume of the source domain wall. We find that the probe dynamics in
the background of the source p-brane in one lower dimensions is not reproduced,
indicating that p-branes within the worldvolume of domain walls perhaps
describe an exotic phase of p-branes in brane worlds. We speculate therefore
that a (p+1)-brane where one of its longitudinal directions is along the
direction transverse to the domain wall is the right description of the p-brane
in the brane world with the expected properties.
| [
{
"created": "Mon, 20 Dec 1999 15:57:10 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Feb 2000 15:02:47 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Youm",
"Donam",
""
]
] | We study dynamics of a probe p-brane and a test particle in the field background of fully localized solutions describing the source p-brane within the worldvolume of the source domain wall. We find that the probe dynamics in the background of the source p-brane in one lower dimensions is not reproduced, indicating that p-branes within the worldvolume of domain walls perhaps describe an exotic phase of p-branes in brane worlds. We speculate therefore that a (p+1)-brane where one of its longitudinal directions is along the direction transverse to the domain wall is the right description of the p-brane in the brane world with the expected properties. |
1310.2838 | Borut Bajc | Borut Bajc and Adrian R. Lugo | Scalar potentials, propagators and global symmetries in AdS/CFT | 26 pages - Invited contribution for the Central European Journal of
Physics, topical issue devoted to "Cosmology and Particle Physics beyond
Standard Models". Some parts overlap with 1304.3051v1, which has been
replaced by the published version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the transition of a scalar field in a fixed $AdS_{d+1}$ background
between an extremum and a minimum of a potential. We first prove that two
conditions must be met for the solution to exist. First, the potential involved
cannot be generic, i.e. a fine-tuning of their parameters is mandatory. Second,
at least in some region its second derivative must have a negative upper limit
which depends only on the dimensionality $d$. We then calculate the boundary
propagator for small momenta in two different ways: first in a WKB
approximation, and second with the usual matching method, generalizing the
known calculation to arbitrary order. Finally, we study a system with
spontaneously broken non-Abelian global symmetry, and show in the holographic
language why the Goldstone modes appear.
| [
{
"created": "Thu, 10 Oct 2013 14:34:45 GMT",
"version": "v1"
}
] | 2013-10-11 | [
[
"Bajc",
"Borut",
""
],
[
"Lugo",
"Adrian R.",
""
]
] | We study the transition of a scalar field in a fixed $AdS_{d+1}$ background between an extremum and a minimum of a potential. We first prove that two conditions must be met for the solution to exist. First, the potential involved cannot be generic, i.e. a fine-tuning of their parameters is mandatory. Second, at least in some region its second derivative must have a negative upper limit which depends only on the dimensionality $d$. We then calculate the boundary propagator for small momenta in two different ways: first in a WKB approximation, and second with the usual matching method, generalizing the known calculation to arbitrary order. Finally, we study a system with spontaneously broken non-Abelian global symmetry, and show in the holographic language why the Goldstone modes appear. |
1810.05895 | Madad Ali Valuyan | M. A. Valuyan | Casimir energy calculation for massive scalar field on spherical
surfaces: an alternative approach | 9 pages, 4 figures | Can. J. Phys. 96: 1004 (2018) | 10.1139/cjp-2017-0722 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this study, the Casimir energy for massive scalar field with periodic
boundary condition was calculated on spherical surfaces with $S^1$, $S^2$ and
$S^3$ topologies. To obtain the Casimir energy on spherical surface, the
contribution of the vacuum energy of Minkowski space is usually subtracted from
that of the original system. In large mass limit for surface $S^2$; however,
some divergences would eventually remain in the obtained result. To remove
these remaining divergences, a secondary renormalization program was manually
performed. In the present work, a direct approach for calculation of the
Casimir energy has been introduced. In this approach, two similar
configurations were considered and then the vacuum energies of these
configurations were subtracted from each other. This method provides more
physical meaning respect to the other common methods. Additionally, in large
mass limit for surface $S^2$, it provides a situation in which the second
renormalization program is automatically conducted in the calculation
procedure, and there was no need to do that anymore manually. Finally, by
plotting the obtained values for the Casimir energy of the topologies and
investigating their appropriate limits, the logic agreement between the results
of our scheme and those of previous studies were discussed.
| [
{
"created": "Sat, 13 Oct 2018 17:19:51 GMT",
"version": "v1"
}
] | 2018-10-16 | [
[
"Valuyan",
"M. A.",
""
]
] | In this study, the Casimir energy for massive scalar field with periodic boundary condition was calculated on spherical surfaces with $S^1$, $S^2$ and $S^3$ topologies. To obtain the Casimir energy on spherical surface, the contribution of the vacuum energy of Minkowski space is usually subtracted from that of the original system. In large mass limit for surface $S^2$; however, some divergences would eventually remain in the obtained result. To remove these remaining divergences, a secondary renormalization program was manually performed. In the present work, a direct approach for calculation of the Casimir energy has been introduced. In this approach, two similar configurations were considered and then the vacuum energies of these configurations were subtracted from each other. This method provides more physical meaning respect to the other common methods. Additionally, in large mass limit for surface $S^2$, it provides a situation in which the second renormalization program is automatically conducted in the calculation procedure, and there was no need to do that anymore manually. Finally, by plotting the obtained values for the Casimir energy of the topologies and investigating their appropriate limits, the logic agreement between the results of our scheme and those of previous studies were discussed. |
0901.0003 | Hong Lu | Zhao-Long Wang, Jianwei Mei and H. Lu | GL(n,R) Wormholes and Waves in Diverse Dimensions | Latex 3 times, 32 pages, typos corrected, to appear in Classical and
Quantum Gravity | Class.Quant.Grav.26:085020,2009 | 10.1088/0264-9381/26/8/085020 | MIFP-09-01, USTC-ICTS-09-02 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the most general Ricci-flat metrics in (D+n) dimensions that
preserve the R^{1,n-1}\times SO(D) isometry. The equations of motion are
governed by the system of a GL(n,\R)/SO(1,n-1) scalar coset coupled to
D-dimensional gravity. Among the solutions, we find a large class of smooth
Lorentzian wormholes that connect two asymptotic flat spacetimes. In addition,
we obtain new vacuum tachyonic wave solutions in D\ge 4 dimensions, which fit
the general definition of pp-waves in that there exists a covariantly constant
null vector. The momenta of the tachyon waves are larger than their ADM masses.
The world-volume of the tachyon wave is R^{1,2}, instead of R^{1,1} for the
usual vacuum pp-wave. We show that the tachyon wave solutions admit no Killing
spinors, except in D=4, in which case it preserves half of the supersymmetry.
We also obtain a general class of p-brane wormhole and tachyon wave solutions
where the R^{1,n-1} part of the spacetime lies in the the world-volume of the
p-branes. These include examples of M-branes and D3-brane. Furthermore, we
obtain AdS tachyon waves in D\ge 4 dimensions.
| [
{
"created": "Fri, 2 Jan 2009 17:11:50 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Mar 2009 20:27:01 GMT",
"version": "v2"
}
] | 2009-04-17 | [
[
"Wang",
"Zhao-Long",
""
],
[
"Mei",
"Jianwei",
""
],
[
"Lu",
"H.",
""
]
] | We construct the most general Ricci-flat metrics in (D+n) dimensions that preserve the R^{1,n-1}\times SO(D) isometry. The equations of motion are governed by the system of a GL(n,\R)/SO(1,n-1) scalar coset coupled to D-dimensional gravity. Among the solutions, we find a large class of smooth Lorentzian wormholes that connect two asymptotic flat spacetimes. In addition, we obtain new vacuum tachyonic wave solutions in D\ge 4 dimensions, which fit the general definition of pp-waves in that there exists a covariantly constant null vector. The momenta of the tachyon waves are larger than their ADM masses. The world-volume of the tachyon wave is R^{1,2}, instead of R^{1,1} for the usual vacuum pp-wave. We show that the tachyon wave solutions admit no Killing spinors, except in D=4, in which case it preserves half of the supersymmetry. We also obtain a general class of p-brane wormhole and tachyon wave solutions where the R^{1,n-1} part of the spacetime lies in the the world-volume of the p-branes. These include examples of M-branes and D3-brane. Furthermore, we obtain AdS tachyon waves in D\ge 4 dimensions. |
hep-th/9505006 | Ken Intriligator | K. Intriligator and P. Pouliot | Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric
SP(N_c) Gauge Theories | 10 pages, harvmac | Phys.Lett. B353 (1995) 471-476 | 10.1016/0370-2693(95)00618-U | RU-95-23 | hep-th | null | We study $N=1$ supersymmetric $SP(N_c)$ gauge theories with $N_f$ flavors of
quarks in the fundamental representation. Depending on $N_f$ and $N_c$, we find
exact, dynamically generated superpotentials, smooth quantum moduli spaces of
vacua, quantum moduli spaces of vacua with additional massless composites at
strong coupling, confinement without chiral symmetry breaking, non-trivial
fixed points of the renormalization group, and massless magnetic quarks and
gluons.
| [
{
"created": "Tue, 2 May 1995 01:52:35 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Intriligator",
"K.",
""
],
[
"Pouliot",
"P.",
""
]
] | We study $N=1$ supersymmetric $SP(N_c)$ gauge theories with $N_f$ flavors of quarks in the fundamental representation. Depending on $N_f$ and $N_c$, we find exact, dynamically generated superpotentials, smooth quantum moduli spaces of vacua, quantum moduli spaces of vacua with additional massless composites at strong coupling, confinement without chiral symmetry breaking, non-trivial fixed points of the renormalization group, and massless magnetic quarks and gluons. |
1003.0149 | Yuichi Hoshino | Yuichi Hoshino | Phase structure of Topologically massive gauge theory with fermion | 3 pages,Latex,no figures,for the proceedings of strong coupling gauge
theory.typos corrected. anomalous dimension is corrected. | null | 10.1142/9789814329521_0047 | null | hep-th hep-ph | http://creativecommons.org/licenses/publicdomain/ | Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge
theory with topological mass is studied. Infrared divergence of Chern-Simon
term is soft,which modifies anomalous dimension. In unquenched QCD with
2-component spinor anomalous dimension has fractional value,where order
parmeter is divergent.
| [
{
"created": "Sun, 28 Feb 2010 04:27:00 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Mar 2010 11:22:06 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Hoshino",
"Yuichi",
""
]
] | Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component spinor anomalous dimension has fractional value,where order parmeter is divergent. |
1706.04704 | Pietro Antonio Grassi | L. Castellani, R. Catenacci, and P. A. Grassi | Super Quantum Mechanics in the Integral Form Formalism | 41 pages, no figures. Use birkjour.cls. Minor misprints, moved
appendix A and B in the main text. Version to be published in Annales H.
Poincar\'e | null | 10.1007/s00023-018-0653-y | (a) DISIT-2017, ARC-17-03, YITP-17-52 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate Super Quantum Mechanics in the context of integral forms. This
framework allows to interpolate between different actions for the same theory,
connected by different choices of Picture Changing Operators (PCO). In this way
we retrieve component and superspace actions, and prove their equivalence. The
PCO are closed integral forms, and can be interpreted as super Poincar\'e duals
of bosonic submanifolds embedded into a supermanifold.. We use them to
construct Lagrangians that are top integral forms, and therefore can be
integrated on the whole supermanifold. The $D=1, ~N=1$ and the $D=1,~ N=2$
cases are studied, in a flat and in a curved supermanifold. In this formalism
we also consider coupling with gauge fields, Hilbert space of quantum states
and observables.
| [
{
"created": "Thu, 15 Jun 2017 00:39:52 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2017 09:32:02 GMT",
"version": "v2"
}
] | 2018-05-09 | [
[
"Castellani",
"L.",
""
],
[
"Catenacci",
"R.",
""
],
[
"Grassi",
"P. A.",
""
]
] | We reformulate Super Quantum Mechanics in the context of integral forms. This framework allows to interpolate between different actions for the same theory, connected by different choices of Picture Changing Operators (PCO). In this way we retrieve component and superspace actions, and prove their equivalence. The PCO are closed integral forms, and can be interpreted as super Poincar\'e duals of bosonic submanifolds embedded into a supermanifold.. We use them to construct Lagrangians that are top integral forms, and therefore can be integrated on the whole supermanifold. The $D=1, ~N=1$ and the $D=1,~ N=2$ cases are studied, in a flat and in a curved supermanifold. In this formalism we also consider coupling with gauge fields, Hilbert space of quantum states and observables. |
1909.05253 | Luca Iliesiu | Luca V. Iliesiu | On 2D gauge theories in Jackiw-Teitelboim gravity | 59 pages and 4 figures, v2 corrected typos | null | null | PUPT-2598 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The low-energy behavior of near-extremal black holes can be understood from
the near-horizon AdS_2 region. In turn, this region is effectively described by
using Jackiw-Teitelboim gravity coupled to Yang-Mills theory through the
two-dimensional metric and the dilaton field. We show that such a
two-dimensional model of gravity coupled to gauge fields is soluble for an
arbitrary choice of gauge group and gauge couplings. Specifically, we determine
the partition function of the theory on two-dimensional surfaces of arbitrary
genus and with an arbitrary number of boundaries. When solely focusing on the
contribution from surfaces with disk topology, we show that the gravitational
gauge theory is described by the Schwarzian theory coupled to a particle moving
on the gauge group manifold. When considering the contribution from all genera,
we show that the theory is described by a particular double-scaled matrix
integral, where the elements of the matrix are functions that map the gauge
group manifold to complex or real numbers. Finally, we compute the expectation
value of various diffeomorphism invariant observables in the gravitational
gauge theory and find their exact boundary description.
| [
{
"created": "Wed, 11 Sep 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Sep 2019 02:20:58 GMT",
"version": "v2"
}
] | 2019-09-16 | [
[
"Iliesiu",
"Luca V.",
""
]
] | The low-energy behavior of near-extremal black holes can be understood from the near-horizon AdS_2 region. In turn, this region is effectively described by using Jackiw-Teitelboim gravity coupled to Yang-Mills theory through the two-dimensional metric and the dilaton field. We show that such a two-dimensional model of gravity coupled to gauge fields is soluble for an arbitrary choice of gauge group and gauge couplings. Specifically, we determine the partition function of the theory on two-dimensional surfaces of arbitrary genus and with an arbitrary number of boundaries. When solely focusing on the contribution from surfaces with disk topology, we show that the gravitational gauge theory is described by the Schwarzian theory coupled to a particle moving on the gauge group manifold. When considering the contribution from all genera, we show that the theory is described by a particular double-scaled matrix integral, where the elements of the matrix are functions that map the gauge group manifold to complex or real numbers. Finally, we compute the expectation value of various diffeomorphism invariant observables in the gravitational gauge theory and find their exact boundary description. |
2106.09566 | Pavan Dharanipragada | Pavan Dharanipragada, Bala Sathiapalan | A Finite Energy-Momentum Tensor for the $\phi^3$ theory in $6$
dimensions | v2: added arxiv numbers for references, added page numbers, added
email id, and corrected one typo in eqn in page 15. v1: 32 pages, 5 figures | Nucl.Phys.B 971 (2021) 115527 | 10.1016/j.nuclphysb.2021.115527 | IMSc/2021/05/02 | hep-th cond-mat.stat-mech | http://creativecommons.org/licenses/by/4.0/ | Following Brown[1], we construct composite operators for the scalar $\phi^3$
theory in six dimensions using renormalisation group methods with dimensional
regularisation. We express bare scalar operators in terms of renormalised
composite operators of low dimension, then do this with traceless tensor
operators. We then express the bare energy momentum tensor in terms of the
renormalised composite operators, with some terms having divergent
coefficients. We subtract these away and obtain a manifestly finite energy
tensor. The subtracted terms are transverse, so this does not affect the
conservation of the energy momentum tensor. The trace of this finite improved
energy momentum tensor vanishes at the fixed point indicating conformal
invariance. Interestingly it is not RG-invariant except at the fixed point, but
can be made RG invariant everywhere by further addition of transverse terms,
whose coefficients vanish at the fixed point.
| [
{
"created": "Thu, 17 Jun 2021 14:49:11 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2021 14:56:13 GMT",
"version": "v2"
}
] | 2021-09-08 | [
[
"Dharanipragada",
"Pavan",
""
],
[
"Sathiapalan",
"Bala",
""
]
] | Following Brown[1], we construct composite operators for the scalar $\phi^3$ theory in six dimensions using renormalisation group methods with dimensional regularisation. We express bare scalar operators in terms of renormalised composite operators of low dimension, then do this with traceless tensor operators. We then express the bare energy momentum tensor in terms of the renormalised composite operators, with some terms having divergent coefficients. We subtract these away and obtain a manifestly finite energy tensor. The subtracted terms are transverse, so this does not affect the conservation of the energy momentum tensor. The trace of this finite improved energy momentum tensor vanishes at the fixed point indicating conformal invariance. Interestingly it is not RG-invariant except at the fixed point, but can be made RG invariant everywhere by further addition of transverse terms, whose coefficients vanish at the fixed point. |
2110.10159 | Andrew Turner | Nikhil Raghuram and Andrew P. Turner | Orders of Vanishing and U(1) Charges in F-theory | 112 pages with appendices; v2: references added | null | 10.1007/JHEP03(2022)051 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Many interesting questions about F-theory models, including several
concerning the F-theory swampland, involve massless matter charged under U(1)
gauge symmetries. It is therefore important to better understand the geometric
properties of F-theory models realizing various U(1) charges. We propose that,
for F-theory models described by elliptic fibrations in Weierstrass form, the
U(1) charge of light matter is encoded in the orders of vanishing of the
section components corresponding to the U(1) gauge symmetry. We give specific
equations relating the U(1) charges to the orders of vanishing that seem to
hold for both U(1)-charged singlets and for matter additionally charged under a
simply-laced nonabelian gauge algebra. Our formulas correctly describe
properties of F-theory models in the prior literature, and we give an argument
that they should describe the orders of vanishing for arbitrarily high U(1)
charges. They also resemble formulas for the $p$-adic valuations of elliptic
divisibility sequences developed by Stange [arXiv:1108.3051]. These proposals
could serve as a U(1) analogue of the Katz-Vafa method, allowing one to
determine U(1) charges without resolution. Additionally, they predict geometric
information about F-theory models with general U(1) charges, which may be
useful for exploring the F-theory landscape and swampland.
| [
{
"created": "Tue, 19 Oct 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Nov 2021 16:48:55 GMT",
"version": "v2"
}
] | 2022-03-30 | [
[
"Raghuram",
"Nikhil",
""
],
[
"Turner",
"Andrew P.",
""
]
] | Many interesting questions about F-theory models, including several concerning the F-theory swampland, involve massless matter charged under U(1) gauge symmetries. It is therefore important to better understand the geometric properties of F-theory models realizing various U(1) charges. We propose that, for F-theory models described by elliptic fibrations in Weierstrass form, the U(1) charge of light matter is encoded in the orders of vanishing of the section components corresponding to the U(1) gauge symmetry. We give specific equations relating the U(1) charges to the orders of vanishing that seem to hold for both U(1)-charged singlets and for matter additionally charged under a simply-laced nonabelian gauge algebra. Our formulas correctly describe properties of F-theory models in the prior literature, and we give an argument that they should describe the orders of vanishing for arbitrarily high U(1) charges. They also resemble formulas for the $p$-adic valuations of elliptic divisibility sequences developed by Stange [arXiv:1108.3051]. These proposals could serve as a U(1) analogue of the Katz-Vafa method, allowing one to determine U(1) charges without resolution. Additionally, they predict geometric information about F-theory models with general U(1) charges, which may be useful for exploring the F-theory landscape and swampland. |
2301.05890 | Radouane Gannouji | An\'ibal Fa\'undez, Radouane Gannouji | Q-balls in K-field theory | 10 pages, 8 figures, matches the published version | null | 10.1103/PhysRevD.107.104058 | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We study the existence and stability of Q-balls in noncanonical scalar field
theories, $K(|\Phi|^2,X)$ where $\Phi$ is the complex scalar field and $X$ is
the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to
K-field theories. We derive the condition for the perturbations to have a
well-posed Cauchy problem. We find that $K_{,X}>0$ and $K_{,X}+XK_{,XX}>0$ are
necessary but not sufficient conditions. The perturbations define a strongly
hyperbolic system if $(K_{,X}-2\phi'^2 K_{,XX})(K_{,X}+2\omega^2\phi^2 K_{,XX})
> 0$. For all modifications studied, we found that perturbations propagate at a
speed different from light. Generically, the noncanonical scalar field can
lower the charge and energy of the Q-ball and therefore improves its stability.
| [
{
"created": "Sat, 14 Jan 2023 11:13:22 GMT",
"version": "v1"
},
{
"created": "Tue, 30 May 2023 17:36:44 GMT",
"version": "v2"
}
] | 2023-05-31 | [
[
"Faúndez",
"Aníbal",
""
],
[
"Gannouji",
"Radouane",
""
]
] | We study the existence and stability of Q-balls in noncanonical scalar field theories, $K(|\Phi|^2,X)$ where $\Phi$ is the complex scalar field and $X$ is the kinetic term. We extend the Vakhitov-Kolokolov stability criterion to K-field theories. We derive the condition for the perturbations to have a well-posed Cauchy problem. We find that $K_{,X}>0$ and $K_{,X}+XK_{,XX}>0$ are necessary but not sufficient conditions. The perturbations define a strongly hyperbolic system if $(K_{,X}-2\phi'^2 K_{,XX})(K_{,X}+2\omega^2\phi^2 K_{,XX}) > 0$. For all modifications studied, we found that perturbations propagate at a speed different from light. Generically, the noncanonical scalar field can lower the charge and energy of the Q-ball and therefore improves its stability. |
hep-th/9910130 | Maria Cristina Neacsu | Gh. Zet and M. C. Neacsu | A Self-Dual Model for the SU(2) Gauge Theory | null | Nuovo Cim. A112 (1999) 1161-1166 | 10.1007/BF03035919 | null | hep-th | null | A model of SU(2) gauge theory in the space-time $R\times S^3$ is constructed
in terms of local gauge-invariant variables. A metric tensor $g_{\mu \nu}$ is
defined starting with the components of the strength tensor $F_{\mu \nu}^k$ and
of its dual $\widetilde{F}_{\mu \nu}^k$. It is shown that the components
$g_{\mu \nu}$ determine the gauge field equations if some supplementary
constraints are imposed. Two families of analitical solutions of the field
equations are also obtained.
| [
{
"created": "Sun, 17 Oct 1999 15:01:25 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Zet",
"Gh.",
""
],
[
"Neacsu",
"M. C.",
""
]
] | A model of SU(2) gauge theory in the space-time $R\times S^3$ is constructed in terms of local gauge-invariant variables. A metric tensor $g_{\mu \nu}$ is defined starting with the components of the strength tensor $F_{\mu \nu}^k$ and of its dual $\widetilde{F}_{\mu \nu}^k$. It is shown that the components $g_{\mu \nu}$ determine the gauge field equations if some supplementary constraints are imposed. Two families of analitical solutions of the field equations are also obtained. |
1803.08738 | Lucrezia Ravera | A. Banaudi, L. Ravera | Generalized AdS-Lorentz deformed supergravity on a manifold with
boundary | 32 pages. Version accepted for publication in The European Physical
Journal Plus (EPJP), Eur. Phys. J. Plus (2018) 133: 514. The final
publication is available at Springer via
https://doi.org/10.1140/epjp/i2018-12335-0. arXiv admin note: text overlap
with arXiv:1802.06602 | Eur. Phys. J. Plus (2018) 133: 514 | 10.1140/epjp/i2018-12335-0 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this paper is to explore the supersymmetry invariance of a
particular supergravity theory, which we refer to as D=4 generalized
AdS-Lorentz deformed supergravity, in the presence of a non-trivial boundary.
In particular, we show that the so-called generalized minimal AdS-Lorentz
superalgebra can be interpreted as a peculiar torsion deformation of osp(4|1),
and we present the construction of a bulk Lagrangian based on the
aforementioned generalized AdS-Lorentz superalgebra. In the presence of a
non-trivial boundary of space-time, that is when the boundary is not thought of
as set at infinity, the fields do not asymptotically vanish, and this has some
consequences on the invariances of the theory, in particular on supersymmetry
invariance. In this work, we adopt the so-called rheonomic (geometric) approach
in superspace and show that a supersymmetric extension of a Gauss-Bonnet like
term is required in order to restore the supersymmetry invariance of the
theory. The action we end up with can be recast as a MacDowell-Mansouri type
action, namely as a sum of quadratic terms in the generalized AdS-Lorentz
covariant super field-strengths.
| [
{
"created": "Fri, 23 Mar 2018 11:09:25 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2018 08:29:55 GMT",
"version": "v2"
},
{
"created": "Thu, 17 May 2018 13:04:03 GMT",
"version": "v3"
},
{
"created": "Sat, 22 Dec 2018 11:58:21 GMT",
"version": "v4"
}
] | 2018-12-31 | [
[
"Banaudi",
"A.",
""
],
[
"Ravera",
"L.",
""
]
] | The purpose of this paper is to explore the supersymmetry invariance of a particular supergravity theory, which we refer to as D=4 generalized AdS-Lorentz deformed supergravity, in the presence of a non-trivial boundary. In particular, we show that the so-called generalized minimal AdS-Lorentz superalgebra can be interpreted as a peculiar torsion deformation of osp(4|1), and we present the construction of a bulk Lagrangian based on the aforementioned generalized AdS-Lorentz superalgebra. In the presence of a non-trivial boundary of space-time, that is when the boundary is not thought of as set at infinity, the fields do not asymptotically vanish, and this has some consequences on the invariances of the theory, in particular on supersymmetry invariance. In this work, we adopt the so-called rheonomic (geometric) approach in superspace and show that a supersymmetric extension of a Gauss-Bonnet like term is required in order to restore the supersymmetry invariance of the theory. The action we end up with can be recast as a MacDowell-Mansouri type action, namely as a sum of quadratic terms in the generalized AdS-Lorentz covariant super field-strengths. |
1104.2461 | Susumu Okazawa | Satoshi Iso and Susumu Okazawa | Stochastic Equations in Black Hole Backgrounds and Non-equilibrium
Fluctuation Theorems | 53 pages | Nucl.Phys.B851:380-419,2011 | 10.1016/j.nuclphysb.2011.05.021 | KEK-TH-1449 | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the non-equilibrium fluctuation theorems developed in the
statistical physics to the thermodynamics of black hole horizons. In
particular, we consider a scalar field in a black hole background. The system
of the scalar field behaves stochastically due to the absorption of energy into
the black hole and emission of the Hawking radiation from the black hole
horizon. We derive the stochastic equations, i.e. Langevin and Fokker-Planck
equations for a scalar field in a black hole background in the $\hbar
\rightarrow 0$ limit with the Hawking temperature $\hbar \kappa/2 \pi$ fixed.
We consider two cases, one confined in a box with a black hole at the center
and the other in contact with a heat bath with temperature different from the
Hawking temperature. In the first case, the system eventually becomes
equilibrium with the Hawking temperature while in the second case there is an
energy flow between the black hole and the heat bath. Applying the fluctuation
theorems to these cases, we derive the generalized second law of black hole
thermodynamics. In the present paper, we treat the black hole as a constant
background geometry. Since the paper is also aimed to connect two different
areas of physics, non-equilibrium physics and black holes physics, we include
pedagogical reviews on the stochastic approaches to the non-equilibrium
fluctuation theorems and some basics of black holes physics.
| [
{
"created": "Wed, 13 Apr 2011 12:11:47 GMT",
"version": "v1"
}
] | 2011-07-13 | [
[
"Iso",
"Satoshi",
""
],
[
"Okazawa",
"Susumu",
""
]
] | We apply the non-equilibrium fluctuation theorems developed in the statistical physics to the thermodynamics of black hole horizons. In particular, we consider a scalar field in a black hole background. The system of the scalar field behaves stochastically due to the absorption of energy into the black hole and emission of the Hawking radiation from the black hole horizon. We derive the stochastic equations, i.e. Langevin and Fokker-Planck equations for a scalar field in a black hole background in the $\hbar \rightarrow 0$ limit with the Hawking temperature $\hbar \kappa/2 \pi$ fixed. We consider two cases, one confined in a box with a black hole at the center and the other in contact with a heat bath with temperature different from the Hawking temperature. In the first case, the system eventually becomes equilibrium with the Hawking temperature while in the second case there is an energy flow between the black hole and the heat bath. Applying the fluctuation theorems to these cases, we derive the generalized second law of black hole thermodynamics. In the present paper, we treat the black hole as a constant background geometry. Since the paper is also aimed to connect two different areas of physics, non-equilibrium physics and black holes physics, we include pedagogical reviews on the stochastic approaches to the non-equilibrium fluctuation theorems and some basics of black holes physics. |
hep-th/0212107 | Henric Larsson | Henric Larsson | An M-theory solution generating technique and SL(2,R) | 24 pages, Latex. v2:Sections 3.2 and 3.3 improved. v3:Some
clarifications added. Version published in JHEP | JHEP 0302 (2003) 060 | 10.1088/1126-6708/2003/02/060 | null | hep-th | null | In this paper we generalize the O(p+1,p+1) solution generating technique
(this is a method used to deform Dp-branes by turning on a NS-NS B-field) to
M-theory, in order to be able to deform M5-brane supergravity solutions
directly in eleven dimensions, by turning on a non zero three form A. We find
that deforming the M5-brane, in some cases, corresponds to performing certain
SL(2,R) transformations of the Kahler structure parameter for the three-torus,
on which the M5-brane has been compactified. We show that this new M-theory
solution generating technique can be reduced to the O(p+1,p+1) solution
generating technique with p=4. Further, we find that it implies that the open
membrane metric and generalized noncommutativity parameter are manifestly
deformation independent for electric and light-like deformations. We also
generalize the O(p+1,p+1) method to the type IIA/B NS5-brane in order to be
able to deform NS5-branes with RR three and two forms, respectively. In the
type IIA case we use the newly obtained solution generating technique and
deformation independence to derive a covariant expression for an open D2-brane
coupling, relevant for OD2-theory.
| [
{
"created": "Tue, 10 Dec 2002 14:42:50 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Dec 2002 10:23:36 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Mar 2003 07:56:50 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Larsson",
"Henric",
""
]
] | In this paper we generalize the O(p+1,p+1) solution generating technique (this is a method used to deform Dp-branes by turning on a NS-NS B-field) to M-theory, in order to be able to deform M5-brane supergravity solutions directly in eleven dimensions, by turning on a non zero three form A. We find that deforming the M5-brane, in some cases, corresponds to performing certain SL(2,R) transformations of the Kahler structure parameter for the three-torus, on which the M5-brane has been compactified. We show that this new M-theory solution generating technique can be reduced to the O(p+1,p+1) solution generating technique with p=4. Further, we find that it implies that the open membrane metric and generalized noncommutativity parameter are manifestly deformation independent for electric and light-like deformations. We also generalize the O(p+1,p+1) method to the type IIA/B NS5-brane in order to be able to deform NS5-branes with RR three and two forms, respectively. In the type IIA case we use the newly obtained solution generating technique and deformation independence to derive a covariant expression for an open D2-brane coupling, relevant for OD2-theory. |
hep-th/9710104 | Jan Plefka | Jan Plefka and Andrew Waldron (NIKHEF, Amsterdam) | On the quantum mechanics of M(atrix) theory | 28 pages, Latex2e | Nucl.Phys. B512 (1998) 460-484 | 10.1016/S0550-3213(97)00762-1 | NIKHEF 97-040 | hep-th | null | We present a study of M(atrix) theory from a purely canonical viewpoint. In
particular, we identify free particle asymptotic states of the model
corresponding to the supergraviton multiplet of eleven dimensional
supergravity. These states have a natural interpretation as excitations in the
flat directions of the matrix model potential. Furthermore, we provide the
split of the matrix model Hamiltonian into a free part describing the free
propagation of these particle states along with the interaction Hamiltonian
describing their interactions. Elementary quantum mechanical perturbation
theory then yields an effective potential for these particles as an expansion
in their inverse separation. Remarkably we find that the leading velocity
independent terms of the effective potential cancel in agreement with the fact
that there is no force between stationary D0 branes. The scheme we present
provides a framework in which one can perturbatively compute the M(atrix)
theory result for the eleven dimensional supergraviton S matrix.
| [
{
"created": "Mon, 13 Oct 1997 20:20:01 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Plefka",
"Jan",
"",
"NIKHEF, Amsterdam"
],
[
"Waldron",
"Andrew",
"",
"NIKHEF, Amsterdam"
]
] | We present a study of M(atrix) theory from a purely canonical viewpoint. In particular, we identify free particle asymptotic states of the model corresponding to the supergraviton multiplet of eleven dimensional supergravity. These states have a natural interpretation as excitations in the flat directions of the matrix model potential. Furthermore, we provide the split of the matrix model Hamiltonian into a free part describing the free propagation of these particle states along with the interaction Hamiltonian describing their interactions. Elementary quantum mechanical perturbation theory then yields an effective potential for these particles as an expansion in their inverse separation. Remarkably we find that the leading velocity independent terms of the effective potential cancel in agreement with the fact that there is no force between stationary D0 branes. The scheme we present provides a framework in which one can perturbatively compute the M(atrix) theory result for the eleven dimensional supergraviton S matrix. |
hep-th/9702064 | Naohisa Ogawa | Naohisa Ogawa | Quantum Mechanical Embedding of Spinning Particle and Induced
Spin-connection | 6 pages, No figures, Latex, Some parts are explained more clearly,
and 1page is added | Mod.Phys.Lett. A12 (1997) 1583-1588 | 10.1142/S0217732397001618 | SAKKYO-9702002 | hep-th | null | This paper introduces the way of the embedding of spinning particle quantum
mechanically. Schr\"odinger equation on its submanifold obtains the gauge field
as spin connection, and it reduces to the ones obtained by Ohnuki and Kitakado
when we consider $S^2$ in $R^3$. PACS numbers: 03.65
| [
{
"created": "Fri, 7 Feb 1997 13:31:12 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Feb 1997 16:55:55 GMT",
"version": "v2"
},
{
"created": "Wed, 21 May 1997 14:23:40 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Ogawa",
"Naohisa",
""
]
] | This paper introduces the way of the embedding of spinning particle quantum mechanically. Schr\"odinger equation on its submanifold obtains the gauge field as spin connection, and it reduces to the ones obtained by Ohnuki and Kitakado when we consider $S^2$ in $R^3$. PACS numbers: 03.65 |
hep-th/0412190 | Sergei Kuzenko | S. M. Kuzenko | On massive tensor multiplets | 17 pages, LaTeX, no figures; V2: reference added | JHEP 0501 (2005) 041 | 10.1088/1126-6708/2005/01/041 | null | hep-th | null | Massive tensor multiplets have recently been scrutinized in hep-th/0410051
and hep-th/0410149, as they appear in orientifold compactifications of type IIB
string theory. Here we formulate several dually equivalent models for massive N
= 1, N=2 tensor multiplets in four space-time dimensions. In the N = 2 case, we
employ harmonic and projective superspace techniques.
| [
{
"created": "Fri, 17 Dec 2004 05:20:11 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jan 2005 07:41:41 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kuzenko",
"S. M.",
""
]
] | Massive tensor multiplets have recently been scrutinized in hep-th/0410051 and hep-th/0410149, as they appear in orientifold compactifications of type IIB string theory. Here we formulate several dually equivalent models for massive N = 1, N=2 tensor multiplets in four space-time dimensions. In the N = 2 case, we employ harmonic and projective superspace techniques. |
2102.12314 | Konstantin Stepanyantz | Mikhail Kuzmichev, Nikolai Meshcheriakov, Sergey Novgorodtsev, Ilya
Shirokov, Konstantin Stepanyantz | Finiteness of the two-loop matter contribution to the triple gauge-ghost
vertices in ${\cal N}=1$ supersymmetric gauge theories regularized by higher
derivatives | 17 pages, 5 figures, version accepted for publication in Physical
Review D | Phys. Rev. D 104, 025008 (2021) | 10.1103/PhysRevD.104.025008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a general renormalizable ${\cal N}=1$ supersymmetric gauge theory with a
simple gauge group we verify the ultraviolet (UV) finiteness of the two-loop
matter contribution to the triple gauge-ghost vertices. These vertices have one
leg of the quantum gauge superfield and two legs corresponding to the
Faddeev--Popov ghost and antighost. By an explicit calculation made with the
help of the higher covariant derivative regularization we demonstrate that the
sum of the corresponding two-loop supergraphs containing a matter loop is not
UV divergent in the case of using a general $\xi$-gauge. In the considered
approximation this result confirms the recently proved theorem that the triple
gauge-ghost vertices are UV finite in all orders, which is an important
ingredient of the all-loop perturbative derivation of the
Novikov-Shifman-Vainshtein-Zakharov relation.
| [
{
"created": "Wed, 24 Feb 2021 14:46:23 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 2021 15:53:39 GMT",
"version": "v2"
}
] | 2021-07-14 | [
[
"Kuzmichev",
"Mikhail",
""
],
[
"Meshcheriakov",
"Nikolai",
""
],
[
"Novgorodtsev",
"Sergey",
""
],
[
"Shirokov",
"Ilya",
""
],
[
"Stepanyantz",
"Konstantin",
""
]
] | For a general renormalizable ${\cal N}=1$ supersymmetric gauge theory with a simple gauge group we verify the ultraviolet (UV) finiteness of the two-loop matter contribution to the triple gauge-ghost vertices. These vertices have one leg of the quantum gauge superfield and two legs corresponding to the Faddeev--Popov ghost and antighost. By an explicit calculation made with the help of the higher covariant derivative regularization we demonstrate that the sum of the corresponding two-loop supergraphs containing a matter loop is not UV divergent in the case of using a general $\xi$-gauge. In the considered approximation this result confirms the recently proved theorem that the triple gauge-ghost vertices are UV finite in all orders, which is an important ingredient of the all-loop perturbative derivation of the Novikov-Shifman-Vainshtein-Zakharov relation. |
1412.6903 | Roberto Casalbuoni Prof | Roberto Casalbuoni and Joaquim Gomis | Conformal symmetry for relativistic point particles: an addendum | 9 pages, no figures | Phys. Rev. D 91, 047901 (2015) | 10.1103/PhysRevD.91.047901 | ICCUB-14069 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the results of our previous work on the conformal invariant
description of two relativistic point particles. We consider here the most
general lagrangian by using a conformal tensor $h_{\mu\nu}$, transforming as a
Wilson line, and that allows us to construct invariant expressions for
velocities taken at two different space-time points.
| [
{
"created": "Mon, 22 Dec 2014 09:14:37 GMT",
"version": "v1"
}
] | 2015-03-05 | [
[
"Casalbuoni",
"Roberto",
""
],
[
"Gomis",
"Joaquim",
""
]
] | We extend the results of our previous work on the conformal invariant description of two relativistic point particles. We consider here the most general lagrangian by using a conformal tensor $h_{\mu\nu}$, transforming as a Wilson line, and that allows us to construct invariant expressions for velocities taken at two different space-time points. |
hep-th/0203260 | J. Gamboa | H. Falomir, J. Gamboa, M. Loewe, F. Mendez and J. C. Rojas | Testing spatial noncommutativiy via the Aharonov-Bohm effect | 16 pp, Revtex 4, 2 fig, new references added. To appear in PRD | Phys.Rev. D66 (2002) 045018 | 10.1103/PhysRevD.66.045018 | USACH-FM-02-04 | hep-th hep-ph | null | The possibility of detecting noncommutative space relics is analyzed using
the Aharonov-Bohm effect. We show that, if space is noncommutative, the
holonomy receives non-trivial kinematical corrections that will produce a
diffraction pattern even when the magnetic flux is quantized. The scattering
problem is also formulated, and the differential cross section is calculated.
Our results can be extrapolated to high energy physics and the bound $\theta
\sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative
effects could be explored in scattering experiments measuring differential
cross sections for small angles. The bound state Aharonov- Bohm effect is also
discussed.
| [
{
"created": "Wed, 27 Mar 2002 22:57:33 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2002 19:48:58 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Jun 2002 19:12:13 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Falomir",
"H.",
""
],
[
"Gamboa",
"J.",
""
],
[
"Loewe",
"M.",
""
],
[
"Mendez",
"F.",
""
],
[
"Rojas",
"J. C.",
""
]
] | The possibility of detecting noncommutative space relics is analyzed using the Aharonov-Bohm effect. We show that, if space is noncommutative, the holonomy receives non-trivial kinematical corrections that will produce a diffraction pattern even when the magnetic flux is quantized. The scattering problem is also formulated, and the differential cross section is calculated. Our results can be extrapolated to high energy physics and the bound $\theta \sim [ 10 {TeV}]^{-2}$ is found. If this bound holds, then noncommutative effects could be explored in scattering experiments measuring differential cross sections for small angles. The bound state Aharonov- Bohm effect is also discussed. |
1302.0535 | Harry Thacker | H. B. Thacker | Topological charge membranes and Goldstone boson propagation in QCD | 6 pages, Talk presented at Chiral Dynamics Workshop, Jefferson Lab,
Aug. 2012 | null | null | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Both theoretical arguments and Monte Carlo observations indicate that the
topological structure of the QCD vacuum consists of a laminated array of
extended, coherent codimension-one membranes of alternating sign. Large-$N_c$
arguments, supported by gauge/string holography, indicate that these membranes
are domain walls which separate discrete "flux vacua" with values of the
topological $\theta$ parameter which differ by $\pm 2\pi$. This exposes a close
analogy with 2D U(1) gauge theory, where $\theta$ can be interpreted as
electric polarization, and the domain walls are pointlike charged particles. In
4D QCD, the $\theta$ parameter represents background Ramond-Ramond flux, which
can be interpreted as a polarization of the charged membranes in the vacuum. In
this framework, the chiral condensate is formed from the quark surface modes on
the membranes. Massless Goldstone boson propagation takes place due to a
coordination between bulk oscillations of the polarization field $\theta$ and
the surface currents represented by the Chern-Simons 3-form on the brane
surface. This coordination is enforced by overall gauge invariance which
imposes an anomaly inflow constraint between bulk and surface currents.
| [
{
"created": "Sun, 3 Feb 2013 21:16:37 GMT",
"version": "v1"
}
] | 2013-02-05 | [
[
"Thacker",
"H. B.",
""
]
] | Both theoretical arguments and Monte Carlo observations indicate that the topological structure of the QCD vacuum consists of a laminated array of extended, coherent codimension-one membranes of alternating sign. Large-$N_c$ arguments, supported by gauge/string holography, indicate that these membranes are domain walls which separate discrete "flux vacua" with values of the topological $\theta$ parameter which differ by $\pm 2\pi$. This exposes a close analogy with 2D U(1) gauge theory, where $\theta$ can be interpreted as electric polarization, and the domain walls are pointlike charged particles. In 4D QCD, the $\theta$ parameter represents background Ramond-Ramond flux, which can be interpreted as a polarization of the charged membranes in the vacuum. In this framework, the chiral condensate is formed from the quark surface modes on the membranes. Massless Goldstone boson propagation takes place due to a coordination between bulk oscillations of the polarization field $\theta$ and the surface currents represented by the Chern-Simons 3-form on the brane surface. This coordination is enforced by overall gauge invariance which imposes an anomaly inflow constraint between bulk and surface currents. |
2006.14129 | Soumangsu Chakraborty Dr | Soumangsu Chakraborty, Amit Giveon and David Kutasov | Comments on D3-Brane Holography | 17 pages and 7 figures | null | 10.1007/JHEP11(2020)031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the idea that the quantum dynamics of open strings ending on $N$
D3-branes in the large $N$ limit can be described at large `t Hooft coupling by
classical closed string theory in the background created by the D3-branes in
asymptotically flat spacetime. We study the resulting thermodynamics and
compute the Hagedorn temperature and other properties of the D3-brane
worldvolume theory in this regime. We also consider the theory in which the
D3-branes are replaced by negative branes and show that its thermodynamics is
well behaved. We comment on the idea that this theory can be thought of as an
irrelevant deformation of $\mathcal{N}=4$ SYM, and on its relation to $T\bar T$
deformed $CFT_2$.
| [
{
"created": "Thu, 25 Jun 2020 01:23:12 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2020 05:46:09 GMT",
"version": "v2"
}
] | 2020-12-02 | [
[
"Chakraborty",
"Soumangsu",
""
],
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] | We revisit the idea that the quantum dynamics of open strings ending on $N$ D3-branes in the large $N$ limit can be described at large `t Hooft coupling by classical closed string theory in the background created by the D3-branes in asymptotically flat spacetime. We study the resulting thermodynamics and compute the Hagedorn temperature and other properties of the D3-brane worldvolume theory in this regime. We also consider the theory in which the D3-branes are replaced by negative branes and show that its thermodynamics is well behaved. We comment on the idea that this theory can be thought of as an irrelevant deformation of $\mathcal{N}=4$ SYM, and on its relation to $T\bar T$ deformed $CFT_2$. |
hep-th/9804164 | Koji Hashimoto | Koji Hashimoto, Hiroyuki Hata and Naoki Sasakura | Multi-Pronged Strings and BPS Saturated Solutions in SU(N)
Supersymmetric Yang-Mills Theory | 38 pages, 9 eps figures, LaTeX, minor changes, a reference added | Nucl.Phys.B535:83-115,1998 | 10.1016/S0550-3213(98)00585-9 | KUNS-1503 | hep-th | null | Extending our previous work on SU(3), we construct spherically symmetric BPS
saturated regular configurations of N=4 SU(N) supersymmetric Yang-Mills theory
preserving 1/4 supersymmetry, and investigate their features. We also give
exact solutions in the case some of the free parameters of the general
solutions take certain values. These field theory BPS states correspond to the
string theory BPS states of multi-pronged strings connecting N different
D3-branes by regarding the N=4 supersymmetric Yang-Mills theory as an effective
field theory on parallel D3-branes. We compare our solutions with multi-pronged
strings in string picture.
| [
{
"created": "Sat, 25 Apr 1998 08:18:46 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 1998 01:50:18 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Hashimoto",
"Koji",
""
],
[
"Hata",
"Hiroyuki",
""
],
[
"Sasakura",
"Naoki",
""
]
] | Extending our previous work on SU(3), we construct spherically symmetric BPS saturated regular configurations of N=4 SU(N) supersymmetric Yang-Mills theory preserving 1/4 supersymmetry, and investigate their features. We also give exact solutions in the case some of the free parameters of the general solutions take certain values. These field theory BPS states correspond to the string theory BPS states of multi-pronged strings connecting N different D3-branes by regarding the N=4 supersymmetric Yang-Mills theory as an effective field theory on parallel D3-branes. We compare our solutions with multi-pronged strings in string picture. |
hep-th/0404224 | Lutz Moeller | Marija Dimitrijevic, Lutz M\"oller, Efrossini Tsouchnika | Derivatives, forms and vector fields on the kappa-deformed Euclidean
space | 25 pages, footnotes and other small changes added | J.Phys. A37 (2004) 9749-9770 | 10.1088/0305-4470/37/41/010 | LMU-TPW 2004-03; MPP-2004-44 | hep-th | null | The model of kappa-deformed space is an interesting example of a
noncommutative space, since it allows a deformed symmetry.
In this paper we present new results concerning different sets of derivatives
on the coordinate algebra of kappa-deformed Euclidean space. We introduce a
differential calculus with two interesting sets of one-forms and higher-order
forms. The transformation law of vector fields is constructed in accordance
with the transformation behaviour of derivatives. The crucial property of the
different derivatives, forms and vector fields is that in an n-dimensional
spacetime there are always n of them. This is the key difference with respect
to conventional approaches, in which the differential calculus is
(n+1)-dimensional.
This work shows that derivative-valued quantities such as derivative-valued
vector fields appear in a generic way on noncommutative spaces.
| [
{
"created": "Wed, 28 Apr 2004 13:07:49 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Sep 2004 08:47:17 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Dimitrijevic",
"Marija",
""
],
[
"Möller",
"Lutz",
""
],
[
"Tsouchnika",
"Efrossini",
""
]
] | The model of kappa-deformed space is an interesting example of a noncommutative space, since it allows a deformed symmetry. In this paper we present new results concerning different sets of derivatives on the coordinate algebra of kappa-deformed Euclidean space. We introduce a differential calculus with two interesting sets of one-forms and higher-order forms. The transformation law of vector fields is constructed in accordance with the transformation behaviour of derivatives. The crucial property of the different derivatives, forms and vector fields is that in an n-dimensional spacetime there are always n of them. This is the key difference with respect to conventional approaches, in which the differential calculus is (n+1)-dimensional. This work shows that derivative-valued quantities such as derivative-valued vector fields appear in a generic way on noncommutative spaces. |
1905.05210 | David D. Blanco Dr. | David Blanco and Guillem P\'erez-Nadal | Modular Hamiltonian of a chiral fermion on the torus | 6 pages, 3 figures | Phys. Rev. D 100, 025003 (2019) | 10.1103/PhysRevD.100.025003 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a chiral fermion at non-zero temperature on a circle (i.e., on a
torus in the Euclidean formalism) and compute the modular Hamiltonian
corresponding to a subregion of the circle. We do this by a very simple
procedure based on the method of images, which is presumably generalizable to
other situations. Our result is non-local even for a single interval, and even
for Neveu-Schwarz boundary conditions. To the best of our knowledge, there are
no previous examples of a modular Hamiltonian with this behavior.
| [
{
"created": "Mon, 13 May 2019 18:00:11 GMT",
"version": "v1"
},
{
"created": "Sat, 18 May 2019 00:58:06 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jul 2019 03:14:22 GMT",
"version": "v3"
}
] | 2019-07-18 | [
[
"Blanco",
"David",
""
],
[
"Pérez-Nadal",
"Guillem",
""
]
] | We consider a chiral fermion at non-zero temperature on a circle (i.e., on a torus in the Euclidean formalism) and compute the modular Hamiltonian corresponding to a subregion of the circle. We do this by a very simple procedure based on the method of images, which is presumably generalizable to other situations. Our result is non-local even for a single interval, and even for Neveu-Schwarz boundary conditions. To the best of our knowledge, there are no previous examples of a modular Hamiltonian with this behavior. |
2403.13757 | David Grabovsky | David Grabovsky | Heavy States in 3d Gravity and 2d CFT | 40 + 12 pages, 10 figures. Comments welcome! v2: added comments and
references, and made other minor improvements. Matches published version | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We discuss correlators of light fields in heavy states in 3d gravity and
holographic 2d CFTs. In the bulk, the propagator of free fields in AdS
backgrounds containing a conical defect or a BTZ black hole can be obtained by
solving the wave equation, as well as by the method of images. On the boundary,
these geometries are sourced by heavy operator insertions, and the propagator
is dual to a heavy-light (HHLL) correlator. By matching its expansion in
Virasoro blocks to our bulk results, we determine the OPE coefficients of all
contributing states in both the s and t channels. In the s channel, these
states are excitations of the light field on top of the heavy state, and their
OPE coefficients are the amplitudes to create them. The t-channel OPE is
dominated by the Virasoro vacuum block, but there is also an infinite family of
light two-particle states that contribute to the correlator. The OPE
coefficients that couple these states to heavy operators represent their
expectation values in heavy backgrounds. We determine them exactly, derive
their asymptotic form at large twist, and discuss their behavior near and above
the BTZ threshold, where they become thermal one-point functions.
| [
{
"created": "Wed, 20 Mar 2024 17:08:45 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jul 2024 21:28:09 GMT",
"version": "v2"
}
] | 2024-07-30 | [
[
"Grabovsky",
"David",
""
]
] | We discuss correlators of light fields in heavy states in 3d gravity and holographic 2d CFTs. In the bulk, the propagator of free fields in AdS backgrounds containing a conical defect or a BTZ black hole can be obtained by solving the wave equation, as well as by the method of images. On the boundary, these geometries are sourced by heavy operator insertions, and the propagator is dual to a heavy-light (HHLL) correlator. By matching its expansion in Virasoro blocks to our bulk results, we determine the OPE coefficients of all contributing states in both the s and t channels. In the s channel, these states are excitations of the light field on top of the heavy state, and their OPE coefficients are the amplitudes to create them. The t-channel OPE is dominated by the Virasoro vacuum block, but there is also an infinite family of light two-particle states that contribute to the correlator. The OPE coefficients that couple these states to heavy operators represent their expectation values in heavy backgrounds. We determine them exactly, derive their asymptotic form at large twist, and discuss their behavior near and above the BTZ threshold, where they become thermal one-point functions. |
hep-th/0506187 | Alexei Deriglazov A | A. A. Deriglazov | Analysis of constrained theories without use of primary constraints | LaTex file, 10 pages, published version | Phys.Lett. B626 (2005) 243-248 | 10.1016/j.physletb.2005.08.114 | null | hep-th math-ph math.MP physics.class-ph | null | It is shown that the Dirac approach to Hamiltonization of singular theories
can be slightly modified in such a way that primary Dirac constraints do not
appear in the process. According to the modified scheme, Hamiltonian
formulation of singular theory is first order Lagrangian formulation, further
rewritten in special coordinates.
| [
{
"created": "Wed, 22 Jun 2005 12:08:46 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Jul 2005 16:52:38 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Oct 2005 13:26:01 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Deriglazov",
"A. A.",
""
]
] | It is shown that the Dirac approach to Hamiltonization of singular theories can be slightly modified in such a way that primary Dirac constraints do not appear in the process. According to the modified scheme, Hamiltonian formulation of singular theory is first order Lagrangian formulation, further rewritten in special coordinates. |
hep-th/9912123 | Hirosi Ooguri | Hirosi Ooguri and Cumrun Vafa | Knot Invariants and Topological Strings | 23 pages, harvmac, 3 figures; An error in the Schwinger computation
in two dimensions corrected; references added | Nucl.Phys.B577:419-438,2000 | 10.1016/S0550-3213(00)00118-8 | CALT-68-2251, CITUSC/99-008, HUTP-99/A070, LBNL-44695, UCB-PTH-99/54 | hep-th | null | We find further evidence for the conjecture relating large N Chern-Simons
theory on S^3 with topological string on the resolved conifold geometry by
showing that the Wilson loop observable of a simple knot on S^3 (for any
representation) agrees to all orders in N with the corresponding quantity on
the topological string side. For a general knot, we find a reformulation of the
knot invariant in terms of new integral invariants, which capture the spectrum
(and spin) of M2 branes ending on M5 branes embedded in the resolved conifold
geometry. We also find an intriguing link between knot invariants and
superpotential terms generated by worldsheet instantons in N=1 supersymmetric
theories in 4 dimensions.
| [
{
"created": "Tue, 14 Dec 1999 22:06:54 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Feb 2000 23:25:30 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Apr 2000 17:55:24 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Ooguri",
"Hirosi",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S^3 (for any representation) agrees to all orders in N with the corresponding quantity on the topological string side. For a general knot, we find a reformulation of the knot invariant in terms of new integral invariants, which capture the spectrum (and spin) of M2 branes ending on M5 branes embedded in the resolved conifold geometry. We also find an intriguing link between knot invariants and superpotential terms generated by worldsheet instantons in N=1 supersymmetric theories in 4 dimensions. |
1605.06299 | Ralph Blumenhagen | Ralph Blumenhagen, Daniela Herschmann, Florian Wolf | String Moduli Stabilization at the Conifold | 33 pages, 4 figures, v2: final version | null | 10.1007/JHEP08(2016)110 | MPP-2016-103 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study moduli stabilization for type IIB orientifolds compactified on
Calabi-Yau threefolds in the region close to conifold singularities in the
complex structure moduli space. The form of the periods implies new phenomena
like exponential mass hierarchies even in the regime of negligible warping.
Integrating out the heavy conic complex structure modulus leads to an effective
flux induced potential for the axio-dilaton and the remaining complex structure
moduli containing exponentially suppressed terms that imitate non-perturbative
effects. It is shown that this scenario can be naturally combined with the
large volume scenario so that all moduli are dynamically stabilized in the
dilute flux regime. As an application of this moduli stabilization scheme, a
string inspired model of aligned inflation is designed that features a
parametrically controlled hierarchy of mass scales.
| [
{
"created": "Fri, 20 May 2016 11:34:50 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 11:13:55 GMT",
"version": "v2"
}
] | 2016-10-18 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Herschmann",
"Daniela",
""
],
[
"Wolf",
"Florian",
""
]
] | We study moduli stabilization for type IIB orientifolds compactified on Calabi-Yau threefolds in the region close to conifold singularities in the complex structure moduli space. The form of the periods implies new phenomena like exponential mass hierarchies even in the regime of negligible warping. Integrating out the heavy conic complex structure modulus leads to an effective flux induced potential for the axio-dilaton and the remaining complex structure moduli containing exponentially suppressed terms that imitate non-perturbative effects. It is shown that this scenario can be naturally combined with the large volume scenario so that all moduli are dynamically stabilized in the dilute flux regime. As an application of this moduli stabilization scheme, a string inspired model of aligned inflation is designed that features a parametrically controlled hierarchy of mass scales. |
1901.01613 | Rui Vilela-Mendes | R. Vilela Mendes | Space-time: Commutative or noncommutative ? | 29 pages latex, 7 figures | Phys. Rev. D 99, 123006 (2019) | 10.1103/PhysRevD.99.123006 | null | hep-th astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Noncommutativity of the spacetime coordinates has been explored in several
contexts, mostly associated to phenomena at the Planck length scale. However,
approaching this question through deformation theory and the principle of
stability of physical theories, one concludes that the scales of
noncommutativity of the coordinates and noncommutativity of the generators of
translations are independent. This suggests that the scale of the spacetime
coordinates noncommutativity could be larger than the Planck length. This paper
attempts to explore the experimental perspectives to settle this question,
either on the lab or by measurements of phenomena of cosmological origin.
| [
{
"created": "Sun, 6 Jan 2019 22:03:09 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Jan 2019 15:48:44 GMT",
"version": "v2"
}
] | 2019-06-19 | [
[
"Mendes",
"R. Vilela",
""
]
] | Noncommutativity of the spacetime coordinates has been explored in several contexts, mostly associated to phenomena at the Planck length scale. However, approaching this question through deformation theory and the principle of stability of physical theories, one concludes that the scales of noncommutativity of the coordinates and noncommutativity of the generators of translations are independent. This suggests that the scale of the spacetime coordinates noncommutativity could be larger than the Planck length. This paper attempts to explore the experimental perspectives to settle this question, either on the lab or by measurements of phenomena of cosmological origin. |
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