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/9509147 | Ahmed Hindawi | Ahmed Hindawi, Burt A. Ovrut, and Daniel Waldram | Non-Trivial Vacua in Higher-Derivative Gravitation | 25 pages, LaTeX2e with AMS-LaTeX 1.2, 7 eps figures | Phys.Rev.D53:5597-5608,1996 | 10.1103/PhysRevD.53.5597 | UPR-661T | hep-th gr-qc | null | A discussion of an extended class of higher-derivative classical theories of
gravity is presented. A procedure is given for exhibiting the new propagating
degrees of freedom, at the full non-linear level, by transforming the
higher-derivative action to a canonical second-order form. For general
fourth-order theories, described by actions which are general functions of the
scalar curvature, the Ricci tensor and the full Riemann tensor, it is shown
that the higher-derivative theories may have multiple stable vacua. The vacua
are shown to be, in general, non-trivial, corresponding to deSitter or
anti-deSitter solutions of the original theory. It is also shown that around
any vacuum the elementary excitations remain the massless graviton, a massive
scalar field and a massive ghost-like spin-two field. The analysis is extended
to actions which are arbitrary functions of terms of the form $\nabla^{2k}R$,
and it is shown that such theories also have a non-trivial vacuum structure.
| [
{
"created": "Tue, 26 Sep 1995 15:57:30 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Oct 1995 18:52:28 GMT",
"version": "v2"
},
{
"created": "Sun, 29 Dec 1996 00:00:39 GMT",
"version": "v3"
}
] | 2011-09-09 | [
[
"Hindawi",
"Ahmed",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Waldram",
"Daniel",
""
]
] | A discussion of an extended class of higher-derivative classical theories of gravity is presented. A procedure is given for exhibiting the new propagating degrees of freedom, at the full non-linear level, by transforming the higher-derivative action to a canonical second-order form. For general fourth-order theories, described by actions which are general functions of the scalar curvature, the Ricci tensor and the full Riemann tensor, it is shown that the higher-derivative theories may have multiple stable vacua. The vacua are shown to be, in general, non-trivial, corresponding to deSitter or anti-deSitter solutions of the original theory. It is also shown that around any vacuum the elementary excitations remain the massless graviton, a massive scalar field and a massive ghost-like spin-two field. The analysis is extended to actions which are arbitrary functions of terms of the form $\nabla^{2k}R$, and it is shown that such theories also have a non-trivial vacuum structure. |
hep-th/9605206 | Stepanyantz | P. Pronin, K. Stepanyantz | One-loop counterterms for the dimensional regularization of arbitrary
Lagrangians | 39 pages, Latex, 3 PS figures, replaced with published version | Nucl.Phys. B485 (1997) 517-544 | 10.1016/S0550-3213(96)00646-3 | null | hep-th | null | We present master formulas for the divergent part of the one-loop effective
action for an arbitrary (both minimal and nonminimal) operators of any order in
the 4-dimensional curved space. They can be considered as computer algorithms,
because the one-loop calculations are then reduced to the simplest algebraic
operations. Some test applications are considered by REDUCE analytical
calculation system.
| [
{
"created": "Wed, 29 May 1996 14:39:05 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 1997 19:55:23 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Pronin",
"P.",
""
],
[
"Stepanyantz",
"K.",
""
]
] | We present master formulas for the divergent part of the one-loop effective action for an arbitrary (both minimal and nonminimal) operators of any order in the 4-dimensional curved space. They can be considered as computer algorithms, because the one-loop calculations are then reduced to the simplest algebraic operations. Some test applications are considered by REDUCE analytical calculation system. |
1602.08267 | Leron Borsten | L. Borsten and M. J. Duff | Gravity as the square of Yang-Mills? | Typos fixed. 26 pages, 6 figs. Based on lectures delivered by M. J.
Duff at the Richard Arnowitt Symposium. Published in the Focus Issue on
gravity, supergravity and fundamental physics: the Richard Arnowitt
Symposium. Chosen as Physica Scripta's Paper of the Week 01/12/2015 | Phys. Scr. 90 (2015) 108012 | 10.1088/0031-8949/90/10/108012 | DIAS-STP-16-02, IMPERIAL-TP-2014-MJD-01 | hep-th math.DG math.RA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lectures we review how the symmetries of gravitational theories may
be regarded as originating from those of "Yang-Mills squared". We begin by
motivating the idea that certain aspects of gravitational theories can be
captured by the product, in some sense, of two distinct Yang-Mills theories,
particularly in the context of scattering amplitudes. We then introduce a
concrete dictionary for the covariant fields of (super)gravity in terms of the
product of two (super) Yang-Mills theories. The dictionary implies that the
symmetries of each (super) Yang-Mills factor generate the symmetries of the
corresponding (super)gravity theory: general covariance, $p$-form gauge
invariance, local Lorentz invariance, local supersymmetry, R-symmetry and
U-duality.
| [
{
"created": "Fri, 26 Feb 2016 10:19:42 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Feb 2016 07:29:57 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Oct 2016 09:49:37 GMT",
"version": "v3"
}
] | 2016-10-25 | [
[
"Borsten",
"L.",
""
],
[
"Duff",
"M. J.",
""
]
] | In these lectures we review how the symmetries of gravitational theories may be regarded as originating from those of "Yang-Mills squared". We begin by motivating the idea that certain aspects of gravitational theories can be captured by the product, in some sense, of two distinct Yang-Mills theories, particularly in the context of scattering amplitudes. We then introduce a concrete dictionary for the covariant fields of (super)gravity in terms of the product of two (super) Yang-Mills theories. The dictionary implies that the symmetries of each (super) Yang-Mills factor generate the symmetries of the corresponding (super)gravity theory: general covariance, $p$-form gauge invariance, local Lorentz invariance, local supersymmetry, R-symmetry and U-duality. |
2001.00038 | Joseph Kapusta | Aditya Dhumuntarao, Joseph I. Kapusta and Christopher Plumberg | Randall-Sundrum Model with a Dilaton Field at Finite Temperature | 14 pages, 5 figures | Phys. Rev. D 101, 066023 (2020) | 10.1103/PhysRevD.101.066023 | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find exact finite temperature solutions to $d=5$ Einstein-dilaton gravity
with black branes and a Randall--Sundrum 3-brane. We show that there exists a
unique generating superpotential for these models. The location of the black
brane and the associated Hawking temperature depend on the value of the the
3-brane tension while other parameters are held fixed. The thermodynamics of
these solutions are presented, from which we show that the entropy satisfies
$S<\text{Vol}(\mathbb{R}^3)/4G_5$. We demonstrate that in a certain limit the
gauge dual of this theory effectively reduces to $\mathcal{N}=4$ SYM at finite
temperature on $S^1\times\mathbb{R}^3$
| [
{
"created": "Tue, 31 Dec 2019 19:06:55 GMT",
"version": "v1"
}
] | 2020-04-01 | [
[
"Dhumuntarao",
"Aditya",
""
],
[
"Kapusta",
"Joseph I.",
""
],
[
"Plumberg",
"Christopher",
""
]
] | We find exact finite temperature solutions to $d=5$ Einstein-dilaton gravity with black branes and a Randall--Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the the 3-brane tension while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies $S<\text{Vol}(\mathbb{R}^3)/4G_5$. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to $\mathcal{N}=4$ SYM at finite temperature on $S^1\times\mathbb{R}^3$ |
hep-th/0311254 | Paul de Medeiros | Paul de Medeiros | Massive gauge-invariant field theories on spaces of constant curvature | 1+38 pages, LaTeX, 1 figure; reference added, some typos corrected | Class.Quant.Grav. 21 (2004) 2571-2593 | 10.1088/0264-9381/21/11/004 | SWAT-03/390 | hep-th | null | Gauge fields of mixed symmetry, corresponding to arbitrary representations of
the local Lorentz group of the background spacetime, arise as massive modes in
compactifications of superstring theories. We describe bosonic gauge field
theories on constant curvature spaces whose fields are in irreducible
representations of the general linear group corresponding to Young tableaux
with two columns. The gauge-invariant actions for such fields are given and
generally require the use of auxiliary fields and additional mass-like terms.
We examine these theories in various (partially) massless regimes in which each
of the mass-like parameters vanishes. We also make some comments about how the
structure extends for gauge fields corresponding to arbitrary Young tableaux.
| [
{
"created": "Wed, 26 Nov 2003 16:02:39 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Dec 2003 11:30:55 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"de Medeiros",
"Paul",
""
]
] | Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories on constant curvature spaces whose fields are in irreducible representations of the general linear group corresponding to Young tableaux with two columns. The gauge-invariant actions for such fields are given and generally require the use of auxiliary fields and additional mass-like terms. We examine these theories in various (partially) massless regimes in which each of the mass-like parameters vanishes. We also make some comments about how the structure extends for gauge fields corresponding to arbitrary Young tableaux. |
1503.05193 | John Kearney | John Kearney, Hojin Yoo, Kathryn M. Zurek | Is a Higgs Vacuum Instability Fatal for High-Scale Inflation? | 31 pages, 3 figures; v2: references added, journal version | Phys. Rev. D 91, 123537 (2015) | 10.1103/PhysRevD.91.123537 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the inflationary evolution of a scalar field $h$ with an unstable
potential for the case where the Hubble parameter $H$ during inflation is
larger than the instability scale $\Lambda_I$ of the potential. Quantum
fluctuations in the field of size $\delta h \sim \frac{H}{2 \pi}$ imply that
the unstable part of the potential is sampled during inflation. We investigate
the evolution of these fluctuations to the unstable regime, and in particular
whether they generate cosmological defects or even terminate inflation. We
apply the results of a toy scalar model to the case of the Standard Model (SM)
Higgs boson, whose quartic evolves to negative values at high scales, and
extend previous analyses of Higgs dynamics during inflation utilizing
statistical methods to a perturbative and fully gauge-invariant formulation. We
show that the dynamics are controlled by the renormalization group-improved
quartic coupling $\lambda(\mu)$ evaluated at a scale $\mu = H$, such that Higgs
fluctuations are enhanced by the instability if $H > \Lambda_I$. Even if $H >
\Lambda_I$, the instability in the SM Higgs potential does not end inflation;
instead the universe slowly sloughs off crunching patches of space that never
come to dominate the evolution. As inflation proceeds past 50 $e$-folds, a
significant proportion of patches exit inflation in the unstable vacuum, and as
much as 1% of the spacetime can rapidly evolve to a defect. Depending on the
nature of these defects, however, the resulting universe could still be
compatible with ours.
| [
{
"created": "Tue, 17 Mar 2015 20:00:12 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Mar 2016 18:54:34 GMT",
"version": "v2"
}
] | 2016-03-14 | [
[
"Kearney",
"John",
""
],
[
"Yoo",
"Hojin",
""
],
[
"Zurek",
"Kathryn M.",
""
]
] | We study the inflationary evolution of a scalar field $h$ with an unstable potential for the case where the Hubble parameter $H$ during inflation is larger than the instability scale $\Lambda_I$ of the potential. Quantum fluctuations in the field of size $\delta h \sim \frac{H}{2 \pi}$ imply that the unstable part of the potential is sampled during inflation. We investigate the evolution of these fluctuations to the unstable regime, and in particular whether they generate cosmological defects or even terminate inflation. We apply the results of a toy scalar model to the case of the Standard Model (SM) Higgs boson, whose quartic evolves to negative values at high scales, and extend previous analyses of Higgs dynamics during inflation utilizing statistical methods to a perturbative and fully gauge-invariant formulation. We show that the dynamics are controlled by the renormalization group-improved quartic coupling $\lambda(\mu)$ evaluated at a scale $\mu = H$, such that Higgs fluctuations are enhanced by the instability if $H > \Lambda_I$. Even if $H > \Lambda_I$, the instability in the SM Higgs potential does not end inflation; instead the universe slowly sloughs off crunching patches of space that never come to dominate the evolution. As inflation proceeds past 50 $e$-folds, a significant proportion of patches exit inflation in the unstable vacuum, and as much as 1% of the spacetime can rapidly evolve to a defect. Depending on the nature of these defects, however, the resulting universe could still be compatible with ours. |
2405.12393 | Samuel Kov\'a\v{c}ik | Samuel Kov\'a\v{c}ik, Juraj Tekel, Matej Hrmo | The Fuzzy Onion: An Initial Study | Contribution to the proceedings of the Corfu Summer Institute 2023:
"School and Workshops on Elementary Particle Physics and Gravity" | null | null | null | hep-th hep-lat | http://creativecommons.org/licenses/by/4.0/ | In our previous contribution, we introduced a matrix formulation of a
three-dimensional quantum space named the fuzzy onion. The novel part of the
construction is the radial derivative term, which has been defined to recover
the correct continuum limit. Here, we describe a numerical simulation of the
scalar field theory in this space and test some physical properties of the
model with emphasis on the interaction between neighbouring layers.
| [
{
"created": "Mon, 20 May 2024 22:01:57 GMT",
"version": "v1"
}
] | 2024-05-22 | [
[
"Kováčik",
"Samuel",
""
],
[
"Tekel",
"Juraj",
""
],
[
"Hrmo",
"Matej",
""
]
] | In our previous contribution, we introduced a matrix formulation of a three-dimensional quantum space named the fuzzy onion. The novel part of the construction is the radial derivative term, which has been defined to recover the correct continuum limit. Here, we describe a numerical simulation of the scalar field theory in this space and test some physical properties of the model with emphasis on the interaction between neighbouring layers. |
1905.07215 | Silvia Pla Garc\'ia | Pau Beltr\'an-Palau, Antonio Ferreiro, Jose Navarro-Salas, Silvia Pla | Breaking of adiabatic invariance in the creation of particles by
electromagnetic fields | 14 pages, 10 figures. The Title has been slightly changed; some
points clarified; misprints corrected; two new figures; to appear in
Phys.Rev. D | Phys. Rev. D 100, 085014 (2019) | 10.1103/PhysRevD.100.085014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Particles are spontaneously created from the vacuum by time-varying
gravitational or electromagnetic backgrounds. It has been proven that the
particle number operator in an expanding universe is an adiabatic invariant. In
this paper we show that, in some special cases, the expected adiabatic
invariance of the particle number fails in presence of electromagnetic
backgrounds. In order to do this, we consider as a prototype a Sauter-type
electric pulse. Furthermore, we also show a close relation between the breaking
of the adiabatic invariance and the emergence of the axial anomaly.
| [
{
"created": "Fri, 17 May 2019 11:47:12 GMT",
"version": "v1"
},
{
"created": "Sat, 19 Oct 2019 11:16:12 GMT",
"version": "v2"
}
] | 2019-10-30 | [
[
"Beltrán-Palau",
"Pau",
""
],
[
"Ferreiro",
"Antonio",
""
],
[
"Navarro-Salas",
"Jose",
""
],
[
"Pla",
"Silvia",
""
]
] | Particles are spontaneously created from the vacuum by time-varying gravitational or electromagnetic backgrounds. It has been proven that the particle number operator in an expanding universe is an adiabatic invariant. In this paper we show that, in some special cases, the expected adiabatic invariance of the particle number fails in presence of electromagnetic backgrounds. In order to do this, we consider as a prototype a Sauter-type electric pulse. Furthermore, we also show a close relation between the breaking of the adiabatic invariance and the emergence of the axial anomaly. |
1607.07224 | Sylvain Ribault | Marco Picco, Sylvain Ribault and Raoul Santachiara | A conformal bootstrap approach to critical percolation in two dimensions | 16 pages, Python code available at
https://github.com/ribault/bootstrap-2d-Python, v2: some clarifications and
minor improvements | SciPost Phys. 1, 009 (2016) | 10.21468/SciPostPhys.1.1.009 | null | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study four-point functions of critical percolation in two dimensions, and
more generally of the Potts model. We propose an exact ansatz for the spectrum:
an infinite, discrete and non-diagonal combination of representations of the
Virasoro algebra. Based on this ansatz, we compute four-point functions using a
numerical conformal bootstrap approach. The results agree with Monte-Carlo
computations of connectivities of random clusters.
| [
{
"created": "Mon, 25 Jul 2016 12:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 20:57:35 GMT",
"version": "v2"
}
] | 2018-04-20 | [
[
"Picco",
"Marco",
""
],
[
"Ribault",
"Sylvain",
""
],
[
"Santachiara",
"Raoul",
""
]
] | We study four-point functions of critical percolation in two dimensions, and more generally of the Potts model. We propose an exact ansatz for the spectrum: an infinite, discrete and non-diagonal combination of representations of the Virasoro algebra. Based on this ansatz, we compute four-point functions using a numerical conformal bootstrap approach. The results agree with Monte-Carlo computations of connectivities of random clusters. |
hep-th/0004077 | Dietmar Klemm | S. Cacciatori, D. Klemm, W. A. Sabra, and D. Zanon | Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges | 25 pages, Latex, no figures, references added | Nucl.Phys. B587 (2000) 277-298 | 10.1016/S0550-3213(00)00461-2 | IFUM 657/FT, CAMS/00-04 | hep-th | null | We consider general black holes in D=5, N=2 supergravity coupled to vector
multiplets, and discuss the issue of microstate counting from various
viewpoints. The statistical entropy is computed for the near-extremal case
using the central charge of the $AdS_2$ factor appearing in the near-horizon
geometry. Furthermore, we explicitly construct the duality transformation
connecting electrically charged black holes to magnetically charged black
strings, under which the $AdS_2 \times S^3$ near horizon geometry becomes
$AdS_3 \times S^2$. For $AdS_3$ the counting of microstates correctly
reproduces the Bekenstein-Hawking entropy, thus resolving the discrepancy
previously found for $AdS_2$.
| [
{
"created": "Tue, 11 Apr 2000 17:28:55 GMT",
"version": "v1"
},
{
"created": "Tue, 2 May 2000 10:15:09 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Cacciatori",
"S.",
""
],
[
"Klemm",
"D.",
""
],
[
"Sabra",
"W. A.",
""
],
[
"Zanon",
"D.",
""
]
] | We consider general black holes in D=5, N=2 supergravity coupled to vector multiplets, and discuss the issue of microstate counting from various viewpoints. The statistical entropy is computed for the near-extremal case using the central charge of the $AdS_2$ factor appearing in the near-horizon geometry. Furthermore, we explicitly construct the duality transformation connecting electrically charged black holes to magnetically charged black strings, under which the $AdS_2 \times S^3$ near horizon geometry becomes $AdS_3 \times S^2$. For $AdS_3$ the counting of microstates correctly reproduces the Bekenstein-Hawking entropy, thus resolving the discrepancy previously found for $AdS_2$. |
hep-th/0609010 | Alfonso V. Ramallo | Daniel Arean, Alfonso V. Ramallo and Diego Rodriguez-Gomez | Mesons and Higgs branch in defect theories | 15 pages, LaTeX | Phys.Lett.B641:393-400,2006 | 10.1016/j.physletb.2006.09.010 | null | hep-th | null | We consider the defect theory obtained by intersecting D3- and D5-branes
along two common spatial directions. We work in the approximation in which the
D5-brane is a probe in the AdS_5xS^5 background. By adding worldvolume flux to
the D5-brane and choosing an appropriate embedding of the probe in AdS_5xS^5,
one gets a supersymmetric configuration in which some of the D3-branes
recombine with the D5-brane. We check this fact by showing that the D5-brane
can be regarded as a system of polarized D3-branes. On the field theory side
this corresponds to the Higgs branch of the defect theory, where some of the
fundamental hypermultiplet fields living on the intersection acquire a vacuum
expectation value. We study the spectrum of mesonic bound states of the defect
theory in this Higgs branch and show that it is continuous and gapless.
| [
{
"created": "Fri, 1 Sep 2006 16:08:30 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Arean",
"Daniel",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
]
] | We consider the defect theory obtained by intersecting D3- and D5-branes along two common spatial directions. We work in the approximation in which the D5-brane is a probe in the AdS_5xS^5 background. By adding worldvolume flux to the D5-brane and choosing an appropriate embedding of the probe in AdS_5xS^5, one gets a supersymmetric configuration in which some of the D3-branes recombine with the D5-brane. We check this fact by showing that the D5-brane can be regarded as a system of polarized D3-branes. On the field theory side this corresponds to the Higgs branch of the defect theory, where some of the fundamental hypermultiplet fields living on the intersection acquire a vacuum expectation value. We study the spectrum of mesonic bound states of the defect theory in this Higgs branch and show that it is continuous and gapless. |
hep-th/9210005 | Charles Nash | Charles Nash and Denjoe O' Connor | Ray-Singer Torsion, Topological field theories and the Riemann zeta
function at s=3 | 10 pages | null | null | null | hep-th math.DG | null | Starting with topological field theories we investigate the Ray-Singer
analytic torsion in three dimensions. For the lens Spaces L(p;q) an explicit
analytic continuation of the appropriate zeta functions is contructed and
implemented. Among the results obtained are closed formulae for the individual
determinants involved, the large $p$ behaviour of the determinants and the
torsion, as well as an infinite set of distinct formulae for zeta(3): the
ordinary Riemann zeta function evaluated at s=3.
The torsion turns out to be trivial for the cases L(6,1), L((10,3) and
L(12,5) and is, in general, greater than unity for large p and less than unity
for a finite number of p and q.
| [
{
"created": "Thu, 1 Oct 1992 14:36:24 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Nash",
"Charles",
""
],
[
"Connor",
"Denjoe O'",
""
]
] | Starting with topological field theories we investigate the Ray-Singer analytic torsion in three dimensions. For the lens Spaces L(p;q) an explicit analytic continuation of the appropriate zeta functions is contructed and implemented. Among the results obtained are closed formulae for the individual determinants involved, the large $p$ behaviour of the determinants and the torsion, as well as an infinite set of distinct formulae for zeta(3): the ordinary Riemann zeta function evaluated at s=3. The torsion turns out to be trivial for the cases L(6,1), L((10,3) and L(12,5) and is, in general, greater than unity for large p and less than unity for a finite number of p and q. |
hep-th/9512098 | null | M. Awada and F. Mansouri | Supersymmetric Wilson Loops, Superstring-Like Observables, and the
Natural Coupling of Superstrings to Supersymmetric Gauge Theories | Tex, 10 pages | Phys.Lett. B384 (1996) 111-115 | 10.1016/0370-2693(96)00803-9 | UCTP-103-95 | hep-th | null | We obtain an explicit expression for the supersymmetric Wilson loop in terms
of chiral superfields and supercurrents in superspace. The result turns out to
be different from what one would expect from the simple replacement of Lie
algebra valued connection in the exponent with the corresponding super-Lie
algebraic one. Genralizing the super particle coupling represented by the
supersymmetric Wilson loop, we show that there exists a unique dimensionless
coupling of the superstring to abelian supersymmetric gauge theories that
respects all the known symmetries. The coupling is expressed in terms of chiral
currents in superspace. The natural superstring coupling gives rise to a new
observable that is "stringy" in nature and has no analogue in
non-supersymmetric gauge theories.
| [
{
"created": "Thu, 14 Dec 1995 06:43:02 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Awada",
"M.",
""
],
[
"Mansouri",
"F.",
""
]
] | We obtain an explicit expression for the supersymmetric Wilson loop in terms of chiral superfields and supercurrents in superspace. The result turns out to be different from what one would expect from the simple replacement of Lie algebra valued connection in the exponent with the corresponding super-Lie algebraic one. Genralizing the super particle coupling represented by the supersymmetric Wilson loop, we show that there exists a unique dimensionless coupling of the superstring to abelian supersymmetric gauge theories that respects all the known symmetries. The coupling is expressed in terms of chiral currents in superspace. The natural superstring coupling gives rise to a new observable that is "stringy" in nature and has no analogue in non-supersymmetric gauge theories. |
1207.4750 | Shuichi Yokoyama | Sachin Jain, Sandip P. Trivedi, Spenta R. Wadia and Shuichi Yokoyama | Supersymmetric Chern-Simons Theories with Vector Matter | 46 pages, 24 figures, v2: comments and references added, v3: a
footnote in Section 3.5 added | JHEP 1210:194,2012 | 10.1007/JHEP10(2012)194 | TIFR/TH/12-30 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss SU(N) Chern-Simons theories at level k with both
fermionic and bosonic vector matter. In particular we present an exact
calculation of the free energy of the N=2 supersymmetric model (with one chiral
field) for all values of the 't Hooft coupling in the large N limit. This is
done by using a generalization of the standard Hubbard-Stratanovich method
because the SUSY model contains higher order polynomial interactions.
| [
{
"created": "Thu, 19 Jul 2012 18:27:55 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2012 13:00:20 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jan 2013 06:13:27 GMT",
"version": "v3"
}
] | 2015-03-20 | [
[
"Jain",
"Sachin",
""
],
[
"Trivedi",
"Sandip P.",
""
],
[
"Wadia",
"Spenta R.",
""
],
[
"Yokoyama",
"Shuichi",
""
]
] | In this paper we discuss SU(N) Chern-Simons theories at level k with both fermionic and bosonic vector matter. In particular we present an exact calculation of the free energy of the N=2 supersymmetric model (with one chiral field) for all values of the 't Hooft coupling in the large N limit. This is done by using a generalization of the standard Hubbard-Stratanovich method because the SUSY model contains higher order polynomial interactions. |
1509.02594 | Patricio Gaete | Patricio Gaete | Remarks on nonlinear electrodynamics II | 12 pages. Revised version. Title changed. To appear in AHEP | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider both massive Euler-Heisenberg-like and Euler-Heisenberg-like
Electrodynamics in the approximation of the strong-field limit. Our analysis
shows that massive Euler-Heisenberg-type Electrodynamics displays the vacuum
birefringence phenomenon. Afterwards, we calculate the lowest-order
modifications to the interaction energy for both classes of Electrodynamics,
within the framework of the gauge-invariant path-dependent variables formalism.
Interestingly enough, for massive Euler-Heisenbeg-like electrodynamics
(Whichmann-Kroll) we obtain a new long-range ($1/r^3$- type) correction, apart
from a long-range ($1/r^5$- type) correction to the Coulomb potential. However,
Euler-Heisenberg-like Electrodynamics in the approximation of the strong-field
limit (to the leading logarithmic order), display a long-range ($1/r^5$- type)
correction to the Coulomb potential. Again, for their non-commutative versions,
the interaction energy is ultraviolet finite.
| [
{
"created": "Wed, 9 Sep 2015 01:18:40 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Dec 2015 19:23:00 GMT",
"version": "v2"
}
] | 2015-12-31 | [
[
"Gaete",
"Patricio",
""
]
] | We consider both massive Euler-Heisenberg-like and Euler-Heisenberg-like Electrodynamics in the approximation of the strong-field limit. Our analysis shows that massive Euler-Heisenberg-type Electrodynamics displays the vacuum birefringence phenomenon. Afterwards, we calculate the lowest-order modifications to the interaction energy for both classes of Electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. Interestingly enough, for massive Euler-Heisenbeg-like electrodynamics (Whichmann-Kroll) we obtain a new long-range ($1/r^3$- type) correction, apart from a long-range ($1/r^5$- type) correction to the Coulomb potential. However, Euler-Heisenberg-like Electrodynamics in the approximation of the strong-field limit (to the leading logarithmic order), display a long-range ($1/r^5$- type) correction to the Coulomb potential. Again, for their non-commutative versions, the interaction energy is ultraviolet finite. |
hep-th/0308190 | Stephan Lawi | Claudio Albanese, Stephan Lawi | Time Quantization and q-Deformations | 4 pages, 2 figures | J.Phys.A37:2983-2987,2004 | 10.1088/0305-4470/37/8/009 | null | hep-th | null | We extend to quantum mechanics the technique of stochastic subordination, by
means of which one can express any semi-martingale as a time-changed Brownian
motion. As examples, we considered two versions of the q-deformed Harmonic
oscillator in both ordinary and imaginary time and show how these various cases
can be understood as different patterns of time quantization rules.
| [
{
"created": "Thu, 28 Aug 2003 01:05:48 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Albanese",
"Claudio",
""
],
[
"Lawi",
"Stephan",
""
]
] | We extend to quantum mechanics the technique of stochastic subordination, by means of which one can express any semi-martingale as a time-changed Brownian motion. As examples, we considered two versions of the q-deformed Harmonic oscillator in both ordinary and imaginary time and show how these various cases can be understood as different patterns of time quantization rules. |
2004.04058 | Khadijeh Jafarzade | B. Eslam Panah, Kh. Jafarzade, S. H. Hendi | Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy
Emission, Deflection Angle and Heat Engine | 14 pages, 7 figures | Nucl. Phys. B 961, 115269 (2020) | 10.1016/j.nuclphysb.2020.115269 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, there has been a surge of interest in the 4D Einstein-Gauss-Bonnet
(4D EGB) gravity theory which bypasses the Lovelock theorem and avoids
Ostrogradsky's instability. Such a novel theory has nontrivial dynamics and
presents several predictions for cosmology and black hole physics. Motivated by
recent astrophysical observations and the importance of anti-de Sitter
spacetime, we investigate shadow geometrical shapes and deflection angle of
light from the charged AdS black holes in 4D EGB gravity theory. We explore the
shadow behaviors and photon sphere around such black holes, and inspect the
effect of different parameters on them. Then, we present a study regarding the
energy emission rate of such black holes and analyze the significant role of
the Gauss-Bonnet (GB) coupling constant in the radiation process. Then, we
perform a discussion of holographic heat engines of charged 4D EGB-AdS black
holes by obtaining the efficiency of a rectangular engine cycle. Finally, by
comparing heat engine efficiency with the Carnot efficiency, we indicate that
the ratio $\frac{\eta }{\eta_{c}}$ is always less than one which is consistent
with the thermodynamic second law.
| [
{
"created": "Wed, 8 Apr 2020 15:30:26 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Sep 2020 02:22:09 GMT",
"version": "v2"
}
] | 2020-12-16 | [
[
"Panah",
"B. Eslam",
""
],
[
"Jafarzade",
"Kh.",
""
],
[
"Hendi",
"S. H.",
""
]
] | Recently, there has been a surge of interest in the 4D Einstein-Gauss-Bonnet (4D EGB) gravity theory which bypasses the Lovelock theorem and avoids Ostrogradsky's instability. Such a novel theory has nontrivial dynamics and presents several predictions for cosmology and black hole physics. Motivated by recent astrophysical observations and the importance of anti-de Sitter spacetime, we investigate shadow geometrical shapes and deflection angle of light from the charged AdS black holes in 4D EGB gravity theory. We explore the shadow behaviors and photon sphere around such black holes, and inspect the effect of different parameters on them. Then, we present a study regarding the energy emission rate of such black holes and analyze the significant role of the Gauss-Bonnet (GB) coupling constant in the radiation process. Then, we perform a discussion of holographic heat engines of charged 4D EGB-AdS black holes by obtaining the efficiency of a rectangular engine cycle. Finally, by comparing heat engine efficiency with the Carnot efficiency, we indicate that the ratio $\frac{\eta }{\eta_{c}}$ is always less than one which is consistent with the thermodynamic second law. |
1306.0086 | Nidal Haddad | Nidal Haddad | Hawking Radiation from Small Black Holes at Strong Coupling and Large N | 12 pages, 2 figures. v2: minor corrections and appendix added | Class. Quantum Grav. 30 (2013) 195002 | 10.1088/0264-9381/30/19/195002 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a previous work an approximate static metric was found of a test black
string that stretches from the boundary to the horizon of the planar
Schwarzschild-AdS_5 geometry. This is the gravity dual of the Unruh state for
\mathcal{N}=4, SU(N) super Yang-Mills theory on a 4-dimensional Schwarzschild
background, at large N and large 'tHooft coupling. We compute the holographic
stress tensor of the gravitational solution and it turns out to possess many
essential features of the Unruh state for weakly-coupled Hawking radiation,
such as the appearance of a negative energy density near the black hole horizon
and a positive energy density at infinity. It also confirms recent results that
at leading order in N, the expectation value of the stress tensor in the Unruh
state is finite on both the future and past horizons, and that at this order
there are no flux terms as is expected in the black droplet phase.
| [
{
"created": "Sat, 1 Jun 2013 07:37:54 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2013 09:19:21 GMT",
"version": "v2"
}
] | 2013-09-10 | [
[
"Haddad",
"Nidal",
""
]
] | In a previous work an approximate static metric was found of a test black string that stretches from the boundary to the horizon of the planar Schwarzschild-AdS_5 geometry. This is the gravity dual of the Unruh state for \mathcal{N}=4, SU(N) super Yang-Mills theory on a 4-dimensional Schwarzschild background, at large N and large 'tHooft coupling. We compute the holographic stress tensor of the gravitational solution and it turns out to possess many essential features of the Unruh state for weakly-coupled Hawking radiation, such as the appearance of a negative energy density near the black hole horizon and a positive energy density at infinity. It also confirms recent results that at leading order in N, the expectation value of the stress tensor in the Unruh state is finite on both the future and past horizons, and that at this order there are no flux terms as is expected in the black droplet phase. |
hep-th/9610014 | Log | A. Stern | Bosonization and Current Algebra of Spinning Strings | Latex file, 29 pp | Nucl.Phys. B482 (1996) 305-324 | 10.1016/S0550-3213(96)00569-X | null | hep-th | null | We write down a general geometric action principle for spinning strings in
$d$-dimensional Minkowski space, which is formulated without the use of
Grassmann coordinates. Instead, it is constructed in terms of the pull-back of
a left invariant Maurer-Cartan form on the $d$-dimensional Poincar\'e group to
the world sheet. The system contains some interesting special cases. Among them
are the Nambu string (as well as, null and tachyionic strings) where the spin
vanishes, and also the case of a string with a spin current - but no momentum
current. We find the general form for the Virasoro generators, and show that
they are first class constraints in the Hamiltonian formulation of the theory.
The current algebra associated with the momentum and angular momentum densities
are shown, in general, to contain rather complicated anomaly terms which
obstruct quantization. As expected, the anomalies vanish when one specializes
to the case of the Nambu string, and there one simply recovers the algebra
associated with the Poincar\'e loop group. We speculate that there exist other
cases where the anomalies vanish, and that these cases give the bosonization of
the known pseudoclassical formulations of spinning strings.
| [
{
"created": "Wed, 2 Oct 1996 21:10:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Stern",
"A.",
""
]
] | We write down a general geometric action principle for spinning strings in $d$-dimensional Minkowski space, which is formulated without the use of Grassmann coordinates. Instead, it is constructed in terms of the pull-back of a left invariant Maurer-Cartan form on the $d$-dimensional Poincar\'e group to the world sheet. The system contains some interesting special cases. Among them are the Nambu string (as well as, null and tachyionic strings) where the spin vanishes, and also the case of a string with a spin current - but no momentum current. We find the general form for the Virasoro generators, and show that they are first class constraints in the Hamiltonian formulation of the theory. The current algebra associated with the momentum and angular momentum densities are shown, in general, to contain rather complicated anomaly terms which obstruct quantization. As expected, the anomalies vanish when one specializes to the case of the Nambu string, and there one simply recovers the algebra associated with the Poincar\'e loop group. We speculate that there exist other cases where the anomalies vanish, and that these cases give the bosonization of the known pseudoclassical formulations of spinning strings. |
2301.00038 | Mikhail Litvinov | Sergey Alekseev, Mykola Dedushenko, Mikhail Litvinov | Chiral life on a slab | v2: references added; 45 pages, 5 figures; | null | null | null | hep-th math-ph math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study chiral algebra in the reduction of 3D $\mathcal{N} = 2 $
supersymmetric gauge theories on an interval with the $\mathcal{N}=(0,2)$
Dirichlet boundary conditions on both ends. By invoking the 3D ``twisted
formalism'' and the 2D $\beta\gamma$-description we explicitly find the
perturbative $\overline{Q}_+$ cohomology of the reduced theory. It is shown
that the vertex algebras of boundary operators are enhanced by the line
operators. A full non-perturbative result is found in the abelian case, where
the chiral algebra is given by the rank two Narain lattice VOA, and two more
equivalent descriptions are provided. Conjectures and speculations on the
nonperturbative answer in the non-abelian case are also given.
| [
{
"created": "Fri, 30 Dec 2022 19:44:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Mar 2024 16:40:30 GMT",
"version": "v2"
}
] | 2024-03-21 | [
[
"Alekseev",
"Sergey",
""
],
[
"Dedushenko",
"Mykola",
""
],
[
"Litvinov",
"Mikhail",
""
]
] | We study chiral algebra in the reduction of 3D $\mathcal{N} = 2 $ supersymmetric gauge theories on an interval with the $\mathcal{N}=(0,2)$ Dirichlet boundary conditions on both ends. By invoking the 3D ``twisted formalism'' and the 2D $\beta\gamma$-description we explicitly find the perturbative $\overline{Q}_+$ cohomology of the reduced theory. It is shown that the vertex algebras of boundary operators are enhanced by the line operators. A full non-perturbative result is found in the abelian case, where the chiral algebra is given by the rank two Narain lattice VOA, and two more equivalent descriptions are provided. Conjectures and speculations on the nonperturbative answer in the non-abelian case are also given. |
hep-th/9906010 | Pascal Baseilhac | P. Baseilhac, V. A. Fateev | Expectation values of local fields for a two-parameter family of
integrable models and related perturbed conformal field theories | 21 pages, LaTex file with amstex | Nucl.Phys.B532:567-587,1998 | 10.1016/S0550-3213(98)00525-2 | PM/98-13 | hep-th | null | We calculate the vacuum expectation values of local fields for the
two-parameter family of integrable field theories introduced and studied by
Fateev. Using this result we propose an explicit expression for the vacuum
expectation values of local operators in parafermionic sine-Gordon models and
in integrable perturbed SU(2) coset conformal field theories.
| [
{
"created": "Tue, 1 Jun 1999 17:59:02 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 1999 16:33:47 GMT",
"version": "v2"
}
] | 2010-10-27 | [
[
"Baseilhac",
"P.",
""
],
[
"Fateev",
"V. A.",
""
]
] | We calculate the vacuum expectation values of local fields for the two-parameter family of integrable field theories introduced and studied by Fateev. Using this result we propose an explicit expression for the vacuum expectation values of local operators in parafermionic sine-Gordon models and in integrable perturbed SU(2) coset conformal field theories. |
2004.05156 | Axel Kleinschmidt | Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer | Generating series of all modular graph forms from iterated Eisenstein
integrals | 70+26 pages. Submission includes an ancillary data file. v2:
clarified subtlety on modular transformations in section 6.1 and added some
four-point data | null | 10.1007/JHEP07(2020)190 | null | hep-th math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study generating series of torus integrals that contain all so-called
modular graph forms relevant for massless one-loop closed-string amplitudes. By
analysing the differential equation of the generating series we construct a
solution for its low-energy expansion to all orders in the inverse string
tension $\alpha'$. Our solution is expressed through initial data involving
multiple zeta values and certain real-analytic functions of the modular
parameter of the torus. These functions are built from real and imaginary parts
of holomorphic iterated Eisenstein integrals and should be closely related to
Brown's recent construction of real-analytic modular forms. We study the
properties of our real-analytic objects in detail and give explicit examples to
a fixed order in the $\alpha'$-expansion. In particular, our solution allows
for a counting of linearly independent modular graph forms at a given weight,
confirming previous partial results and giving predictions for higher, hitherto
unexplored weights. It also sheds new light on the topic of uniform
transcendentality of the $\alpha'$-expansion.
| [
{
"created": "Fri, 10 Apr 2020 17:59:08 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2020 09:53:23 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Gerken",
"Jan E.",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for its low-energy expansion to all orders in the inverse string tension $\alpha'$. Our solution is expressed through initial data involving multiple zeta values and certain real-analytic functions of the modular parameter of the torus. These functions are built from real and imaginary parts of holomorphic iterated Eisenstein integrals and should be closely related to Brown's recent construction of real-analytic modular forms. We study the properties of our real-analytic objects in detail and give explicit examples to a fixed order in the $\alpha'$-expansion. In particular, our solution allows for a counting of linearly independent modular graph forms at a given weight, confirming previous partial results and giving predictions for higher, hitherto unexplored weights. It also sheds new light on the topic of uniform transcendentality of the $\alpha'$-expansion. |
1403.3258 | Brett McInnes | Brett McInnes | Angular Momentum in QGP Holography | 22 pages, 2 figures, version to appear in Nuclear Physics B | Nuclear Physics B887 (2014) 246 | 10.1016/j.nuclphysb.2014.08.011 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The quark chemical potential is one of the fundamental parameters describing
the Quark-Gluon Plasma produced by sufficiently energetic heavy-ion collisions.
It is not large at the extremely high temperatures probed by the LHC, but it
plays a key role in discussions of the beam energy scan programmes at the RHIC
and other facilities. On the other hand, collisions at such energies typically
(that is, in peripheral collisions) give rise to very high values of the
angular momentum density. Here we explain that holographic estimates of the
quark chemical potential of a rotating sample of plasma can be very
considerably improved by taking the angular momentum into account.
| [
{
"created": "Thu, 13 Mar 2014 13:33:18 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 2014 06:46:41 GMT",
"version": "v2"
},
{
"created": "Mon, 25 Aug 2014 01:52:14 GMT",
"version": "v3"
}
] | 2015-06-19 | [
[
"McInnes",
"Brett",
""
]
] | The quark chemical potential is one of the fundamental parameters describing the Quark-Gluon Plasma produced by sufficiently energetic heavy-ion collisions. It is not large at the extremely high temperatures probed by the LHC, but it plays a key role in discussions of the beam energy scan programmes at the RHIC and other facilities. On the other hand, collisions at such energies typically (that is, in peripheral collisions) give rise to very high values of the angular momentum density. Here we explain that holographic estimates of the quark chemical potential of a rotating sample of plasma can be very considerably improved by taking the angular momentum into account. |
1102.4939 | Vladimir Rochev | V.E. Rochev | Asymptotic behavior in the scalar field theory | 16 pages; journal version; references added | null | 10.1088/1751-8113/44/30/305403 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An asymptotic solution of the system of Schwinger-Dyson equations for
four-dimensional Euclidean scalar field theory with interaction
$\frac{\lambda}{2}(\phi^*\phi)^2$ is obtained. For
$\lambda>\lambda_{cr}=16\pi^2$ the two-particle amplitude has the
pathology-free asymptotic behavior at large momenta. For $\lambda<\lambda_{cr}$
the amplitude possesses Landau-type singularity.
| [
{
"created": "Thu, 24 Feb 2011 09:31:37 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jun 2011 12:18:57 GMT",
"version": "v2"
}
] | 2015-05-27 | [
[
"Rochev",
"V. E.",
""
]
] | An asymptotic solution of the system of Schwinger-Dyson equations for four-dimensional Euclidean scalar field theory with interaction $\frac{\lambda}{2}(\phi^*\phi)^2$ is obtained. For $\lambda>\lambda_{cr}=16\pi^2$ the two-particle amplitude has the pathology-free asymptotic behavior at large momenta. For $\lambda<\lambda_{cr}$ the amplitude possesses Landau-type singularity. |
1501.07160 | Chunshan Lin | Chunshan Lin, Lance Z. Labun | Effective Field Theory of Broken Spatial Diffeomorphisms | 26 pages, V2 more references, several remarks and a new subsection
are added, V3 a major revision, with two new subsections added, as well as
several new discussions on the construction of our EFT | null | 10.1007/JHEP03(2016)128 | YITP-15-5 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the low energy effective theory describing gravity with broken
spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons
associated with broken diffeomorphisms are eaten and the graviton becomes a
massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge,
the most general theory is built with the lowest dimension operators invariant
under only temporal diffeomorphisms. Imposing the additional shift and SO(3)
internal symmetries, we analyze the perturbations on a FRW background. At
linear perturbation level, the observables of this theory are characterized by
five parameters, including the usual cosmological parameters and one additional
coupling constant for the symmetry-breaking scalars. In the de Sitter and
Minkowski limit, the three Goldstone bosons are supermassive and can be
integrated out, leaving two massive tensor modes as the only propagating
degrees of freedom. We discuss several examples relevant to theories of massive
gravity.
| [
{
"created": "Mon, 26 Jan 2015 21:00:12 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 2015 06:23:10 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Aug 2015 02:56:02 GMT",
"version": "v3"
}
] | 2016-04-20 | [
[
"Lin",
"Chunshan",
""
],
[
"Labun",
"Lance Z.",
""
]
] | We study the low energy effective theory describing gravity with broken spatial diffeomorphism invariance. In the unitary gauge, the Goldstone bosons associated with broken diffeomorphisms are eaten and the graviton becomes a massive spin-2 particle with 5 well-behaved degrees of freedom. In this gauge, the most general theory is built with the lowest dimension operators invariant under only temporal diffeomorphisms. Imposing the additional shift and SO(3) internal symmetries, we analyze the perturbations on a FRW background. At linear perturbation level, the observables of this theory are characterized by five parameters, including the usual cosmological parameters and one additional coupling constant for the symmetry-breaking scalars. In the de Sitter and Minkowski limit, the three Goldstone bosons are supermassive and can be integrated out, leaving two massive tensor modes as the only propagating degrees of freedom. We discuss several examples relevant to theories of massive gravity. |
2307.01681 | Mitsuaki Hirasawa | Mitsuaki Hirasawa, Konstantinos N. Anagnostopoulos, Takehiro Azuma,
Kohta Hatakeyama, Jun Nishimura, Stratos Papadoudis, Asato Tsuchiya | The emergence of expanding space-time in the Lorentzian type IIB matrix
model with a novel regularization | 13 pages, 9 figures, proceedings of Corfu Summer Institute 2022
"School and Workshops on Elementary Particle Physics and Gravity" | null | null | KEK-TH-2536 | hep-th gr-qc hep-lat | http://creativecommons.org/licenses/by-nc-nd/4.0/ | The Lorentzian type IIB matrix model is a promising candidate for a
non-perturbative formulation of superstring theory. However, it was recently
found that a Euclidean space-time appears in the conventional large-$N$ limit.
In this work, we study the model with a Lorentz invariant mass term which can
be considered as an IR regulator. By performing complex Langevin simulations to
overcome the sign problem, we observe the emergence of expanding space-time
with Lorentzian signature.
| [
{
"created": "Tue, 4 Jul 2023 12:23:15 GMT",
"version": "v1"
}
] | 2023-07-06 | [
[
"Hirasawa",
"Mitsuaki",
""
],
[
"Anagnostopoulos",
"Konstantinos N.",
""
],
[
"Azuma",
"Takehiro",
""
],
[
"Hatakeyama",
"Kohta",
""
],
[
"Nishimura",
"Jun",
""
],
[
"Papadoudis",
"Stratos",
""
],
[
"Tsuchiya",
... | The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. However, it was recently found that a Euclidean space-time appears in the conventional large-$N$ limit. In this work, we study the model with a Lorentz invariant mass term which can be considered as an IR regulator. By performing complex Langevin simulations to overcome the sign problem, we observe the emergence of expanding space-time with Lorentzian signature. |
hep-th/9410194 | J{\o}rgen Rasmussen, Nbi | J. Rasmussen and M. Weis | Induced Topology on the Hoop Group | 4 pages in LaTeX, NBI-HE-94-46 | null | null | null | hep-th | null | A new topology is proposed on the space of holonomy equivalence classes of
loops, induced by the topology of the space $\Sigma$ in which the loops are
embedded. The possible role for the new topology in the context of the work by
Ashtekar et al. is discussed.
| [
{
"created": "Wed, 26 Oct 1994 14:14:21 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rasmussen",
"J.",
""
],
[
"Weis",
"M.",
""
]
] | A new topology is proposed on the space of holonomy equivalence classes of loops, induced by the topology of the space $\Sigma$ in which the loops are embedded. The possible role for the new topology in the context of the work by Ashtekar et al. is discussed. |
hep-th/9604113 | Alexander A. Reshetnyak | P.M. Lavrov and P.Yu. Moshin | Physical unitarity in the Lagrangian Sp(2)-symmetric formalism | 26 pages, LaTEX | Nucl.Phys. B486 (1997) 565-597 | 10.1016/S0550-3213(96)00659-1 | null | hep-th | null | The structure of state vector space for a general (non-anomalous) gauge
theory is studied within the Lagrangian version of the $Sp(2)$-symmetric
quantization method. The physical {\it S}-matrix unitarity conditions are
formulated. The general results are illustrated on the basis of simple gauge
theory models.
| [
{
"created": "Fri, 19 Apr 1996 07:16:27 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Lavrov",
"P. M.",
""
],
[
"Moshin",
"P. Yu.",
""
]
] | The structure of state vector space for a general (non-anomalous) gauge theory is studied within the Lagrangian version of the $Sp(2)$-symmetric quantization method. The physical {\it S}-matrix unitarity conditions are formulated. The general results are illustrated on the basis of simple gauge theory models. |
hep-th/9311051 | Walter Strampp Fb17 | Anjan Kundu | Universality of the universal R-matrix and applications to quantum
integrable systems | 5 pages. Presented at 'Generalised Symmetries in Physics' (July
26-29,1993,ASI,Clausthal,Germany) | null | null | null | hep-th nlin.SI solv-int | null | Results obtained by us are overviewed from a general set up. The universal
$R$-matrix is exploited to obtain various important relations and structures
involved in quantum group algebra, which are used subsequently for generating
different classes of quantum integrable systems through a systematic scheme.
This recovers known models as well as discovers a series of new ones.
| [
{
"created": "Tue, 9 Nov 1993 11:06:25 GMT",
"version": "v1"
}
] | 2008-02-03 | [
[
"Kundu",
"Anjan",
""
]
] | Results obtained by us are overviewed from a general set up. The universal $R$-matrix is exploited to obtain various important relations and structures involved in quantum group algebra, which are used subsequently for generating different classes of quantum integrable systems through a systematic scheme. This recovers known models as well as discovers a series of new ones. |
1601.03488 | Kirill Orekhov | Kirill Orekhov | N=2 superparticle near horizon of a magnetized Kerr black hole | 7 pages; v.2: minor changes to the text, two references added; to
appear in J. Geom. Phys | null | 10.1016/j.geomphys.2016.02.013 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Melvin-Kerr black hole represents a generalization of the Kerr black hole to
the case of a non-vanishing external magnetic field via the Harrison
transformation. Conformal mechanics related to the near horizon limit of such a
black hole configuration is studied and its unique N=2 supersymmetric extension
is constructed.
| [
{
"created": "Thu, 14 Jan 2016 04:50:44 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2016 13:58:40 GMT",
"version": "v2"
}
] | 2016-05-04 | [
[
"Orekhov",
"Kirill",
""
]
] | Melvin-Kerr black hole represents a generalization of the Kerr black hole to the case of a non-vanishing external magnetic field via the Harrison transformation. Conformal mechanics related to the near horizon limit of such a black hole configuration is studied and its unique N=2 supersymmetric extension is constructed. |
0706.1378 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | Newton law corrections and instabilities in $f(R)$ gravity with the
effective cosmological constant epoch | LaTeX file, 9 pages, correction/clarification is made | Phys.Lett.B652:343-348,2007 | 10.1016/j.physletb.2007.07.039 | null | hep-th astro-ph gr-qc | null | We consider class of modified $f(R)$ gravities with the effective
cosmological constant epoch at the early and late universe. Such models pass
most of solar system tests as well they satisfy to cosmological bounds. Despite
their very attractive properties, it is shown that one realistic class of such
models may lead to significant Newton law corrections which become small at the
future universe only. The model with acceptable Newton law regime shows the
matter instability. This suggests that more complicated version of such theory
(or extended parameters space) should be investigated.
| [
{
"created": "Sun, 10 Jun 2007 22:04:00 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2007 11:29:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | We consider class of modified $f(R)$ gravities with the effective cosmological constant epoch at the early and late universe. Such models pass most of solar system tests as well they satisfy to cosmological bounds. Despite their very attractive properties, it is shown that one realistic class of such models may lead to significant Newton law corrections which become small at the future universe only. The model with acceptable Newton law regime shows the matter instability. This suggests that more complicated version of such theory (or extended parameters space) should be investigated. |
1706.03769 | Dr. Sudhaker Upadhyay | Pavel Yu. Moshin, Sudhaker Upadhyay and Ricardo A. Castro | Finite BRST Mapping in Higher Derivative Models | 9 pages, published in Braz. J. Phys | Braz. J. Phys. 47 (2017) 411-418 | 10.1007/s13538-017-0503-2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We continue the study of finite field dependent BRST (FFBRST) symmetry in the
quantum theory of gauge fields. An expression for the Jacobian of path integral
measure is presented, depending on a finite field-dependent parameter, and the
FFBRST symmetry is then applied to a number of well-established quantum gauge
theories in a form which includes higher-derivative terms. Specifically, we
examine the corresponding versions of the Maxwell theory, non-Abelian vector
field theory, and gravitation theory. We present a systematic mapping between
different forms of gauge-fixing, including those with higher-derivative terms,
for which these theories have better renormalization properties. In doing so,
we also provide the independence of the S-matrix from a particular gauge-fixing
with higher derivatives. Following this method, a higher-derivative quantum
action can be constructed for any gauge theory in the FFBRST framework.
| [
{
"created": "Mon, 12 Jun 2017 04:56:53 GMT",
"version": "v1"
}
] | 2017-07-20 | [
[
"Moshin",
"Pavel Yu.",
""
],
[
"Upadhyay",
"Sudhaker",
""
],
[
"Castro",
"Ricardo A.",
""
]
] | We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the FFBRST symmetry is then applied to a number of well-established quantum gauge theories in a form which includes higher-derivative terms. Specifically, we examine the corresponding versions of the Maxwell theory, non-Abelian vector field theory, and gravitation theory. We present a systematic mapping between different forms of gauge-fixing, including those with higher-derivative terms, for which these theories have better renormalization properties. In doing so, we also provide the independence of the S-matrix from a particular gauge-fixing with higher derivatives. Following this method, a higher-derivative quantum action can be constructed for any gauge theory in the FFBRST framework. |
1808.07053 | Peter Zimmerman | Samuel E. Gralla, Arun Ravishankar, and Peter Zimmerman | Semi-local Quantum Criticality and the Instability of Extremal Planar
Horizons | 23 pages. v2 contains a reference update | null | 10.1007/JHEP12(2018)087 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the Aretakis instability of compact extremal horizons persists
in the planar case of interest to holography and discuss its connection with
the emergence of "semi-local quantum criticality" in the field theory dual. In
particular, the spatially localized power-law decay of this critical phase
corresponds to spatially localized power-law growth of stress-energy on the
horizon. For near-extremal black holes these phenomena occur transiently over
times of order the inverse temperature. The boundary critical phase is
characterized by an emergent temporal conformal symmetry, and the bulk
instability seems to be essential to preserving the symmetry in the presence of
interactions. We work primarily in the solvable example of charged scalar
perturbations of five-dimensional (near-)extremal planar Reissner-Nordstr\"om
anti-de Sitter spacetime and argue that the conclusions hold more generally.
| [
{
"created": "Tue, 21 Aug 2018 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2018 10:00:32 GMT",
"version": "v2"
}
] | 2019-01-30 | [
[
"Gralla",
"Samuel E.",
""
],
[
"Ravishankar",
"Arun",
""
],
[
"Zimmerman",
"Peter",
""
]
] | We show that the Aretakis instability of compact extremal horizons persists in the planar case of interest to holography and discuss its connection with the emergence of "semi-local quantum criticality" in the field theory dual. In particular, the spatially localized power-law decay of this critical phase corresponds to spatially localized power-law growth of stress-energy on the horizon. For near-extremal black holes these phenomena occur transiently over times of order the inverse temperature. The boundary critical phase is characterized by an emergent temporal conformal symmetry, and the bulk instability seems to be essential to preserving the symmetry in the presence of interactions. We work primarily in the solvable example of charged scalar perturbations of five-dimensional (near-)extremal planar Reissner-Nordstr\"om anti-de Sitter spacetime and argue that the conclusions hold more generally. |
hep-th/9510144 | Achim Kempf | Haye Hinrichsen (Weizmann, Rehovot, Israel), Achim Kempf (DAMTP,
Cambridge, U.K.) | Maximal Localisation in the Presence of Minimal Uncertainties in
Positions and Momenta | Latex, 21 pages, 2 postscript figures | J.Math.Phys. 37 (1996) 2121-2137 | 10.1063/1.531501 | DAMTP/95-50 | hep-th gr-qc math.QA q-alg | null | Small corrections to the uncertainty relations, with effects in the
ultraviolet and/or infrared, have been discussed in the context of string
theory and quantum gravity. Such corrections lead to small but finite minimal
uncertainties in position and/or momentum measurements. It has been shown that
these effects could indeed provide natural cutoffs in quantum field theory. The
corresponding underlying quantum theoretical framework includes small
`noncommutative geometric' corrections to the canonical commutation relations.
In order to study the full implications on the concept of locality it is
crucial to find the physical states of then maximal localisation. These states
and their properties have been calculated for the case with minimal
uncertainties in positions only. Here we extend this treatment, though still in
one dimension, to the general situation with minimal uncertainties both in
positions and in momenta.
| [
{
"created": "Thu, 19 Oct 1995 16:30:49 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hinrichsen",
"Haye",
"",
"Weizmann, Rehovot, Israel"
],
[
"Kempf",
"Achim",
"",
"DAMTP,\n Cambridge, U.K."
]
] | Small corrections to the uncertainty relations, with effects in the ultraviolet and/or infrared, have been discussed in the context of string theory and quantum gravity. Such corrections lead to small but finite minimal uncertainties in position and/or momentum measurements. It has been shown that these effects could indeed provide natural cutoffs in quantum field theory. The corresponding underlying quantum theoretical framework includes small `noncommutative geometric' corrections to the canonical commutation relations. In order to study the full implications on the concept of locality it is crucial to find the physical states of then maximal localisation. These states and their properties have been calculated for the case with minimal uncertainties in positions only. Here we extend this treatment, though still in one dimension, to the general situation with minimal uncertainties both in positions and in momenta. |
hep-th/0312038 | Andrey Bytsenko | M. C. B. Abdalla (IFT/UNESP), A. A. Bytsenko (Depto. de Fisica/UEL and
IFT/UNESP) and M. E. X. Guimaraes (Depto. de Matematica/UnB and IFT/UNESP) | Quantum States, Thermodynamic Limits and Entropy in M-Theory | 7 pages, no figures, Revtex style. To be published in the Physical
Review D | Phys.Rev. D69 (2004) 064002 | 10.1103/PhysRevD.69.064002 | null | hep-th | null | We discuss the matching of the BPS part of the spectrum for (super)membrane,
which gives the possibility of getting membrane's results via string
calculations. In the small coupling limit of M--theory the entropy of the
system coincides with the standard entropy of type IIB string theory (including
the logarithmic correction term). The thermodynamic behavior at large coupling
constant is computed by considering M--theory on a manifold with topology
${\mathbb T}^2\times{\mathbb R}^9$. We argue that the finite temperature
partition functions (brane Laurent series for $p \neq 1$) associated with BPS
$p-$brane spectrum can be analytically continued to well--defined functionals.
It means that a finite temperature can be introduced in brane theory, which
behaves like finite temperature field theory. In the limit $p \to 0$ (point
particle limit) it gives rise to the standard behavior of thermodynamic
quantities.
| [
{
"created": "Wed, 3 Dec 2003 19:07:43 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Abdalla",
"M. C. B.",
"",
"IFT/UNESP"
],
[
"Bytsenko",
"A. A.",
"",
"Depto. de Fisica/UEL and\n IFT/UNESP"
],
[
"Guimaraes",
"M. E. X.",
"",
"Depto. de Matematica/UnB and IFT/UNESP"
]
] | We discuss the matching of the BPS part of the spectrum for (super)membrane, which gives the possibility of getting membrane's results via string calculations. In the small coupling limit of M--theory the entropy of the system coincides with the standard entropy of type IIB string theory (including the logarithmic correction term). The thermodynamic behavior at large coupling constant is computed by considering M--theory on a manifold with topology ${\mathbb T}^2\times{\mathbb R}^9$. We argue that the finite temperature partition functions (brane Laurent series for $p \neq 1$) associated with BPS $p-$brane spectrum can be analytically continued to well--defined functionals. It means that a finite temperature can be introduced in brane theory, which behaves like finite temperature field theory. In the limit $p \to 0$ (point particle limit) it gives rise to the standard behavior of thermodynamic quantities. |
1612.03158 | Ben Michel | Ben Michel | Remarks on Rindler Quantization | 9+5 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the quantization of scalar and gauge fields using Rindler
coordinates with an emphasis on the physics of the Rindler horizon. In the
thermal state at the Unruh temperature, correlators match their Minkowski
vacuum values and the renormalized stress tensor vanishes, while at any other
temperature the renormalized stress-energy diverges on the horizon. After
giving a new derivation of some of these results using canonical quantization
in the thermofield double state, we comment on the relevance of fluxes and
boundary conditions at the horizon, which have arisen in calculations of
entanglement entropy.
| [
{
"created": "Fri, 9 Dec 2016 20:42:50 GMT",
"version": "v1"
}
] | 2016-12-12 | [
[
"Michel",
"Ben",
""
]
] | We review the quantization of scalar and gauge fields using Rindler coordinates with an emphasis on the physics of the Rindler horizon. In the thermal state at the Unruh temperature, correlators match their Minkowski vacuum values and the renormalized stress tensor vanishes, while at any other temperature the renormalized stress-energy diverges on the horizon. After giving a new derivation of some of these results using canonical quantization in the thermofield double state, we comment on the relevance of fluxes and boundary conditions at the horizon, which have arisen in calculations of entanglement entropy. |
1811.06024 | N. E. J. Bjerrum-Bohr | N. E. J. Bjerrum-Bohr, Humberto Gomez, Andreas Helset | New Factorization Relations for Non-Linear Sigma Model Amplitudes | 6 pages, no figures, version to appear in PRD | Phys. Rev. D 99, 045009 (2019) | 10.1103/PhysRevD.99.045009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain novel factorization identities for non-linear sigma model
amplitudes using a new integrand in the CHY double-cover prescription. We find
that it is possible write very compact relations using only longitudinal
degrees of freedom. We discuss implications for on-shell recursion.
| [
{
"created": "Wed, 14 Nov 2018 19:25:27 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Feb 2019 10:07:04 GMT",
"version": "v2"
}
] | 2019-02-28 | [
[
"Bjerrum-Bohr",
"N. E. J.",
""
],
[
"Gomez",
"Humberto",
""
],
[
"Helset",
"Andreas",
""
]
] | We obtain novel factorization identities for non-linear sigma model amplitudes using a new integrand in the CHY double-cover prescription. We find that it is possible write very compact relations using only longitudinal degrees of freedom. We discuss implications for on-shell recursion. |
hep-th/9903187 | Krajewski T. | T. Krajewski and R. Wulkenhaar | Perturbative quantum gauge fields on the noncommutative torus | Latex 2e, 19 pages 5 eps figures, typos corrected and 1 reference
added | Int.J.Mod.Phys. A15 (2000) 1011-1030 | 10.1142/S0217751X00000495 | CPT-99/P.3794 | hep-th | null | Using standard field theoretical techniques, we survey pure Yang-Mills theory
on the noncommutative torus, including Feynman rules and BRS symmetry. Although
in general free of any infrared singularity, the theory is ultraviolet
divergent. Because of an invariant regularization scheme, this theory turns out
to be renormalizable and the detailed computation of the one loop counterterms
is given, leading to an asymptoticaly free theory. Besides, it turns out that
non planar diagrams are overall convergent when $\theta$ is irrational.
| [
{
"created": "Mon, 22 Mar 1999 16:01:06 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 1999 17:17:52 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Krajewski",
"T.",
""
],
[
"Wulkenhaar",
"R.",
""
]
] | Using standard field theoretical techniques, we survey pure Yang-Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one loop counterterms is given, leading to an asymptoticaly free theory. Besides, it turns out that non planar diagrams are overall convergent when $\theta$ is irrational. |
1509.08878 | Ali Davody | Navid Abbasi, Ali Davody, Kasra Hejazi and Zahra Rezaei | Hydrodynamic Waves in an Anomalous Charged Fluid | 7 pages, 1 fig, 2 tables; references added; finite density
computations added (PLB published version) | Phys.Lett. B 762 (2016) 23-32 | 10.1016/j.physletb.2016.09.002 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the collective excitations in a relativistic fluid with an anomalous
$U(1)$ current. In $3+1$ dimensions at zero chemical potential, in addition to
ordinary sound modes we find two propagating modes in presence of an external
magnetic field. The first one which is a transverse degenerate mode, propagates
with a velocity proportional to the coefficient of gravitational anomaly; this
is in fact the Chiral Alfv\'en wave recently found in \cite{Yamamoto:2015ria}.
Another one is a wave of density perturbation, namely a chiral magnetic wave
(CMW). The velocity dependence of CMW on the chiral anomaly coefficient is well
known. We compute the dependence of CMW's velocity on the coefficient of
gravitational anomaly as well. We also show that the dissipation splits the
degeneracy of CAW. At finite chiral charge density we show that in general
there may exist five chiral hydrodynamic waves. Of these five waves, one is the
CMW while the other four are mixed Modified Sound-Alfv\'en waves. It turns out
that in propagation transverse to the magnetic field no anomaly effect appear
while in parallel to the magnetic field we find sound waves become dispersive
due to anomaly.
| [
{
"created": "Tue, 29 Sep 2015 18:31:33 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Oct 2015 13:55:27 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Sep 2016 06:50:21 GMT",
"version": "v3"
}
] | 2016-09-19 | [
[
"Abbasi",
"Navid",
""
],
[
"Davody",
"Ali",
""
],
[
"Hejazi",
"Kasra",
""
],
[
"Rezaei",
"Zahra",
""
]
] | We study the collective excitations in a relativistic fluid with an anomalous $U(1)$ current. In $3+1$ dimensions at zero chemical potential, in addition to ordinary sound modes we find two propagating modes in presence of an external magnetic field. The first one which is a transverse degenerate mode, propagates with a velocity proportional to the coefficient of gravitational anomaly; this is in fact the Chiral Alfv\'en wave recently found in \cite{Yamamoto:2015ria}. Another one is a wave of density perturbation, namely a chiral magnetic wave (CMW). The velocity dependence of CMW on the chiral anomaly coefficient is well known. We compute the dependence of CMW's velocity on the coefficient of gravitational anomaly as well. We also show that the dissipation splits the degeneracy of CAW. At finite chiral charge density we show that in general there may exist five chiral hydrodynamic waves. Of these five waves, one is the CMW while the other four are mixed Modified Sound-Alfv\'en waves. It turns out that in propagation transverse to the magnetic field no anomaly effect appear while in parallel to the magnetic field we find sound waves become dispersive due to anomaly. |
0705.2366 | Ralph Blumenhagen | Nikolas Akerblom, Ralph Blumenhagen, Dieter Lust, Maximilian
Schmidt-Sommerfeld | Instantons and Holomorphic Couplings in Intersecting D-brane Models | 28 pages, 5 figures | JHEP 0708:044,2007 | 10.1088/1126-6708/2007/08/044 | MPP-2007-57, LMU-ASC 31/07 | hep-th | null | We clarify certain aspects and discuss extensions of the recently introduced
string D-instanton calculus (hep-th/0609191). The one-loop determinants are
related to one-loop open string threshold corrections in intersecting D6-brane
models. Utilising a non-renormalisation theorem for the holomorphic Wilsonian
gauge kinetic functions, we derive a number of constraints for the moduli
dependence of the matter field Kaehler potentials of intersecting D6-brane
models on the torus. Moreover, we compute string one-loop corrections to the
Fayet-Iliopoulos terms on the D6-branes finding that they are proportional to
the gauge threshold corrections. Employing these results, we discuss the issue
of holomorphy for E2-instanton corrections to the superpotential. Eventually,
we discuss E2-instanton corrections to the gauge kinetic functions and the
FI-terms.
| [
{
"created": "Wed, 16 May 2007 14:42:17 GMT",
"version": "v1"
}
] | 2009-10-07 | [
[
"Akerblom",
"Nikolas",
""
],
[
"Blumenhagen",
"Ralph",
""
],
[
"Lust",
"Dieter",
""
],
[
"Schmidt-Sommerfeld",
"Maximilian",
""
]
] | We clarify certain aspects and discuss extensions of the recently introduced string D-instanton calculus (hep-th/0609191). The one-loop determinants are related to one-loop open string threshold corrections in intersecting D6-brane models. Utilising a non-renormalisation theorem for the holomorphic Wilsonian gauge kinetic functions, we derive a number of constraints for the moduli dependence of the matter field Kaehler potentials of intersecting D6-brane models on the torus. Moreover, we compute string one-loop corrections to the Fayet-Iliopoulos terms on the D6-branes finding that they are proportional to the gauge threshold corrections. Employing these results, we discuss the issue of holomorphy for E2-instanton corrections to the superpotential. Eventually, we discuss E2-instanton corrections to the gauge kinetic functions and the FI-terms. |
1905.04680 | Bin Chen | Yu-han Lin and Bin Chen | Note on Bulk Reconstruction in AdS$_3$/WCFT$_2$ | 20 pages | Phys. Rev. D 100, 086018 (2019) | 10.1103/PhysRevD.100.086018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The bulk reconstructions in AdS/CFT and its cousins are essential to
understand the holographic nature of quantum gravity. In this work, we try to
study
the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After
deriving the bulk-boundary propagator, which is different from the usual one in
AdS/CFT, we define the bulk proto-scalar field by using the Virasoro-Kac-Moody
symmetry in two different ways. One is to impose the bulk primary conditions on
the field and construct the field algebraically. The other is to use the
bulk-boundary vacuum OPE block, which can be read by applying the
diffeomorphism preserving the CSS boundary conditions. Two approaches lead to
consistent picture.
| [
{
"created": "Sun, 12 May 2019 09:48:12 GMT",
"version": "v1"
}
] | 2019-10-30 | [
[
"Lin",
"Yu-han",
""
],
[
"Chen",
"Bin",
""
]
] | The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS$_3$/WCFT$_2$ correspondence. After deriving the bulk-boundary propagator, which is different from the usual one in AdS/CFT, we define the bulk proto-scalar field by using the Virasoro-Kac-Moody symmetry in two different ways. One is to impose the bulk primary conditions on the field and construct the field algebraically. The other is to use the bulk-boundary vacuum OPE block, which can be read by applying the diffeomorphism preserving the CSS boundary conditions. Two approaches lead to consistent picture. |
hep-th/0211019 | Tony Gherghetta | Tony Gherghetta and Alex Kehagias | Anomaly-Free Brane Worlds in Seven Dimensions | 10 pages, LaTeX; v2: typos corrected, references added | Phys.Rev.Lett.90:101601,2003 | 10.1103/PhysRevLett.90.101601 | UMN-TH-2118/02 | hep-th hep-ph | null | We present an orbifold compactification of the minimal seven dimensional
supergravity. The vacuum is a slice of AdS_7 where six-branes of opposite
tension are located at the orbifold fixed points. The cancellation of gauge and
gravitational anomalies restricts the gauge group and matter content on the
boundaries. In addition anomaly cancellation fixes the boundary gauge couplings
in terms of the gravitational constant, and the mass parameter of the
Chern-Simons term.
| [
{
"created": "Mon, 4 Nov 2002 17:53:39 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Mar 2003 18:02:21 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Gherghetta",
"Tony",
""
],
[
"Kehagias",
"Alex",
""
]
] | We present an orbifold compactification of the minimal seven dimensional supergravity. The vacuum is a slice of AdS_7 where six-branes of opposite tension are located at the orbifold fixed points. The cancellation of gauge and gravitational anomalies restricts the gauge group and matter content on the boundaries. In addition anomaly cancellation fixes the boundary gauge couplings in terms of the gravitational constant, and the mass parameter of the Chern-Simons term. |
hep-th/0612111 | Marcel Kossow | Marcel Kossow | UV Finite Field Theories on Noncommutative Spacetimes: the Quantum Wick
Product and Time Independent Perturbation Theory | 8 pages, 2 figures | Phys.Rev.D77:065018,2008 | 10.1103/PhysRevD.77.065018 | null | hep-th | null | In this article an energy correction is calculated in the time independent
perturbation setup using a regularised ultraviolet finite Hamiltonian on the
noncommutative Minkowski space. The correction to the energy is invariant under
rotation and translation but is not Lorentz covariant and this leads to a
distortion of the dispersion relation. In the limit where the noncommutativity
vanishes the common quantum field theory on the commutative Minkowski space is
reobtained.
| [
{
"created": "Tue, 12 Dec 2006 17:05:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kossow",
"Marcel",
""
]
] | In this article an energy correction is calculated in the time independent perturbation setup using a regularised ultraviolet finite Hamiltonian on the noncommutative Minkowski space. The correction to the energy is invariant under rotation and translation but is not Lorentz covariant and this leads to a distortion of the dispersion relation. In the limit where the noncommutativity vanishes the common quantum field theory on the commutative Minkowski space is reobtained. |
1402.6990 | Janos Balog | Janos Balog | Relativistic trajectory variables in 1+1 dimensional
Ruijsenaars-Schneider type models | 17 pages, latex. Introduction rearranged, references added | null | null | null | hep-th physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A general algorithm to construct particle trajectories in 1+1 dimensional
canonical relativistic models is presented. The method is a generalization of
the construction used in Ruijsenaars-Schneider models and provides a simple
proof of the fact that the latter satisfies the world-line conditions granting
proper physical Poincare invariance. The 2-particle case for the rational
Ruijsenaars-Schneider model is worked out explicitly. It is shown that the
particle coordinates do not Poisson commute, as required by the no-interaction
theorem of Currie, Jordan and Sudarshan.
| [
{
"created": "Thu, 27 Feb 2014 17:49:35 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Mar 2014 09:46:13 GMT",
"version": "v2"
}
] | 2014-03-11 | [
[
"Balog",
"Janos",
""
]
] | A general algorithm to construct particle trajectories in 1+1 dimensional canonical relativistic models is presented. The method is a generalization of the construction used in Ruijsenaars-Schneider models and provides a simple proof of the fact that the latter satisfies the world-line conditions granting proper physical Poincare invariance. The 2-particle case for the rational Ruijsenaars-Schneider model is worked out explicitly. It is shown that the particle coordinates do not Poisson commute, as required by the no-interaction theorem of Currie, Jordan and Sudarshan. |
2208.01930 | Hyeonjoon Shin | Jaemo Park, Hyeonjoon Shin | Supersymmetric instantonic D1-branes in AdS$_5\times$S$^5$ background | 17 pages; v2: 20 pages, references added, clarification of some
points, relation with (p,q) string added, version to appear in JHEP | null | 10.1007/JHEP11(2022)012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to the covariant open superstring description of 1/2-BPS D-branes
in the AdS$_5\times$S$^5$ background, there are two kinds of purely instantonic
D-branes. One is the well known D(-1)-brane or D-instanton, and another is the
D1-brane spanning a two dimensional subspace inside S$^5$. We identify the
actual 1/2-BPS instantonic D1-brane configurations and their supersymmetry
structures. From the results, it is concluded that any spherical D1-instanton
with the radius equal to that of S$^5$ is 1/2-BPS. After evaluating the 1/2-BPS
D1-instanton action, we discuss the relation of D1-instanton with the $(p, q)$
string instanton. We also discuss the possible 1/2-BPS and 1/4-BPS multiple
D1-instanton configurations.
| [
{
"created": "Wed, 3 Aug 2022 09:17:42 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2022 09:38:45 GMT",
"version": "v2"
}
] | 2022-11-23 | [
[
"Park",
"Jaemo",
""
],
[
"Shin",
"Hyeonjoon",
""
]
] | According to the covariant open superstring description of 1/2-BPS D-branes in the AdS$_5\times$S$^5$ background, there are two kinds of purely instantonic D-branes. One is the well known D(-1)-brane or D-instanton, and another is the D1-brane spanning a two dimensional subspace inside S$^5$. We identify the actual 1/2-BPS instantonic D1-brane configurations and their supersymmetry structures. From the results, it is concluded that any spherical D1-instanton with the radius equal to that of S$^5$ is 1/2-BPS. After evaluating the 1/2-BPS D1-instanton action, we discuss the relation of D1-instanton with the $(p, q)$ string instanton. We also discuss the possible 1/2-BPS and 1/4-BPS multiple D1-instanton configurations. |
0711.1675 | Katerina Pozdeeva | Ekaterina Pozdeeva, Alexander Tarasov | Darboux transformation of boundary conditions of regular Dirac
Sturm--Liouville problem | null | null | null | null | hep-th | null | It is shown that boundary conditions of the Darboux transformed Dirac
Sturm--Liouville problem are always zero-valued independently on boundary
conditions of initial problem.
| [
{
"created": "Sun, 11 Nov 2007 19:53:52 GMT",
"version": "v1"
}
] | 2007-11-13 | [
[
"Pozdeeva",
"Ekaterina",
""
],
[
"Tarasov",
"Alexander",
""
]
] | It is shown that boundary conditions of the Darboux transformed Dirac Sturm--Liouville problem are always zero-valued independently on boundary conditions of initial problem. |
1710.00548 | Alfonso V. Ramallo | Jose Manuel Penin, Alfonso V. Ramallo and Dimitrios Zoakos | Anisotropic D3-D5 black holes with unquenched flavors | 33+16 pages; v2: Minor corrections and references added; v3: appendix
added | null | 10.1007/JHEP02(2018)139 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a black hole geometry generated by the intersection of $N_c$
color D3- branes and $N_f$ flavor D5-branes along a 2+1 dimensional subspace.
Working in the Veneziano limit in which $N_f$ is large and distributing
homogeneously the D5-branes in the internal space, we calculate the solution of
the equations of motion of supergravity plus sources which includes the
backreaction of the flavor branes. The solution is analytic and dual to a 2+1
dimensional defect in a 3+1 dimensional gauge theory, with $N_f$ massless
hypermultiplets living in the defect. The smeared background we obtain can be
regarded as the holographic realization of a multilayered system. We study the
thermodynamics of the resulting spatially anisotropic geometry and compute the
first and second order transport coefficients for perturbations propagating
along the defect. We find that, in our system, the dynamics of excitations
within a layer can be described by a stack of effective D2-branes.
| [
{
"created": "Mon, 2 Oct 2017 09:23:20 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Oct 2017 15:39:54 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Feb 2018 13:19:57 GMT",
"version": "v3"
}
] | 2018-04-04 | [
[
"Penin",
"Jose Manuel",
""
],
[
"Ramallo",
"Alfonso V.",
""
],
[
"Zoakos",
"Dimitrios",
""
]
] | We construct a black hole geometry generated by the intersection of $N_c$ color D3- branes and $N_f$ flavor D5-branes along a 2+1 dimensional subspace. Working in the Veneziano limit in which $N_f$ is large and distributing homogeneously the D5-branes in the internal space, we calculate the solution of the equations of motion of supergravity plus sources which includes the backreaction of the flavor branes. The solution is analytic and dual to a 2+1 dimensional defect in a 3+1 dimensional gauge theory, with $N_f$ massless hypermultiplets living in the defect. The smeared background we obtain can be regarded as the holographic realization of a multilayered system. We study the thermodynamics of the resulting spatially anisotropic geometry and compute the first and second order transport coefficients for perturbations propagating along the defect. We find that, in our system, the dynamics of excitations within a layer can be described by a stack of effective D2-branes. |
2312.13363 | Ioana-Alexandra Coman | Ioana Coman, Myungbo Shim, Masahito Yamazaki, Yehao Zhou | Affine $\mathcal{W}$-algebras and Miura maps from 3d $\mathcal N=4$
non-Abelian quiver gauge theories | 91 pages, 26 figures | null | null | null | hep-th math-ph math.AG math.MP math.QA math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Vertex Operator Algebras (VOAs) obtained from the H-twist of 3d
$\mathcal{N}=4$ linear quiver gauge theories. We find that H-twisted VOAs can
be regarded as the ''chiralization'' of the extended Higgs branch: many of the
ingredients of the Higgs branch are naturally ''uplifted'' into the VOAs, while
conversely the Higgs branch can be recovered as the associated variety of the
VOA. We also discuss the connection of our VOA with affine
$\mathcal{W}$-algebras. For example, we construct an explicit homomorphism from
an affine $\mathcal{W}$-algebra
$\mathcal{W}^{-n+1}(\mathfrak{gl}_n,f_{\mathrm{min}})$ into the H-twisted VOA
for $T^{[2,1^{n-2}]}_{[1^n]}[\mathrm{SU}(n)]$ theories. Motivated by the
relation with affine $\mathcal{W}$-algebras, we introduce a reduction procedure
for the quiver diagram, and use this to give an algorithm to systematically
construct novel free-field realizations for VOAs associated with general linear
quivers.
| [
{
"created": "Wed, 20 Dec 2023 19:00:17 GMT",
"version": "v1"
}
] | 2023-12-22 | [
[
"Coman",
"Ioana",
""
],
[
"Shim",
"Myungbo",
""
],
[
"Yamazaki",
"Masahito",
""
],
[
"Zhou",
"Yehao",
""
]
] | We study Vertex Operator Algebras (VOAs) obtained from the H-twist of 3d $\mathcal{N}=4$ linear quiver gauge theories. We find that H-twisted VOAs can be regarded as the ''chiralization'' of the extended Higgs branch: many of the ingredients of the Higgs branch are naturally ''uplifted'' into the VOAs, while conversely the Higgs branch can be recovered as the associated variety of the VOA. We also discuss the connection of our VOA with affine $\mathcal{W}$-algebras. For example, we construct an explicit homomorphism from an affine $\mathcal{W}$-algebra $\mathcal{W}^{-n+1}(\mathfrak{gl}_n,f_{\mathrm{min}})$ into the H-twisted VOA for $T^{[2,1^{n-2}]}_{[1^n]}[\mathrm{SU}(n)]$ theories. Motivated by the relation with affine $\mathcal{W}$-algebras, we introduce a reduction procedure for the quiver diagram, and use this to give an algorithm to systematically construct novel free-field realizations for VOAs associated with general linear quivers. |
2211.15594 | Parthiv Haldar | Parthiv Haldar | Explorations in the Space of S-Matrices | PhD Thesis; 174 pages; Based on arxiv:2103.12108, arxiv:2112.11755,
and arxiv:1911.05974 | null | null | null | hep-th hep-ph math-ph math.CV math.MP | http://creativecommons.org/licenses/by/4.0/ | S-matrix is one of the fundamental observables of the quantum theory of
relativistic particles. There have been attempts to understand the quantum
dynamics of relativistic particles abstractly in terms of S-matrix bypassing a
Lagrangian formulation of quantum field theory. Equivalently, the space of
possible S-matrices defines an abstract theory space. This thesis examines how
to constrain the spectrum of physical theories in the theory space using the
basic physical requirements of Poincare invariance, quantum unitarity, and
causality. The thesis discusses two distinct but related ways of such
exploration. The first part of the thesis explores a novel mathematical way of
cruising the space of S-matrices using the techniques from geometric function
theory (GFT). This analysis leads to rigorous two-sided bounds on Wilson
coefficients in the effective field theories (EFT). Using these GFT techniques,
we study elastic scattering amplitudes of identical massive scalar Bosons, EFT
amplitudes of elastic 2-2 photon, and graviton scattering and try to constrain
the space of low energy effective field theories. In the second part of the
thesis, we work out a systematic derivation of the Froissart-Martin bound
starting with $4-$point Mellin amplitude for a holographic CFT.
| [
{
"created": "Mon, 28 Nov 2022 17:49:44 GMT",
"version": "v1"
}
] | 2022-11-29 | [
[
"Haldar",
"Parthiv",
""
]
] | S-matrix is one of the fundamental observables of the quantum theory of relativistic particles. There have been attempts to understand the quantum dynamics of relativistic particles abstractly in terms of S-matrix bypassing a Lagrangian formulation of quantum field theory. Equivalently, the space of possible S-matrices defines an abstract theory space. This thesis examines how to constrain the spectrum of physical theories in the theory space using the basic physical requirements of Poincare invariance, quantum unitarity, and causality. The thesis discusses two distinct but related ways of such exploration. The first part of the thesis explores a novel mathematical way of cruising the space of S-matrices using the techniques from geometric function theory (GFT). This analysis leads to rigorous two-sided bounds on Wilson coefficients in the effective field theories (EFT). Using these GFT techniques, we study elastic scattering amplitudes of identical massive scalar Bosons, EFT amplitudes of elastic 2-2 photon, and graviton scattering and try to constrain the space of low energy effective field theories. In the second part of the thesis, we work out a systematic derivation of the Froissart-Martin bound starting with $4-$point Mellin amplitude for a holographic CFT. |
hep-th/0109010 | Changhyun Ahn | Changhyun Ahn and Kyungsung Woo | Domain Wall from Gauged d=4, N=8 Supergravity: Part I | 65 pp; v2: refs added, redundant parts skipped, improvements added
and to appear in NPB; v3: the title changed | Nucl.Phys. B634 (2002) 141-191 | 10.1016/S0550-3213(02)00313-9 | null | hep-th | null | By studying already known extrema of non-semi-simple Inonu-Wigner contraction
CSO(p, q)^{+} and non-compact SO(p, q)^{+}(p+q=8) gauged N=8 supergravity in
4-dimensions developed by Hull sometime ago, one expects there exists
nontrivial flow in the 3-dimensional boundary field theory. We find that these
gaugings provide first-order domain-wall solutions from direct extremization of
energy-density. We also consider the most general CSO(p, q, r)^{+} with p+q+r=8
gauging of N=8 supergravity by two successive SL(8,R) transformations of the de
Wit-Nicolai theory, that is, compact SO(8) gauged supergravity. The theory
found earlier has local SU(8)x CSO(p, q, r)^{+} gauge symmetry as well as local
N=8 supersymmetry. The gauge group CSO(p, q, r)^{+} is spontaneously reduced to
its maximal compact subgroup SO(p)^{+} x SO(q)^{+} x U(1)^{+r(r-1)/2}. The
T-tensor we obtain describes a two-parameter family of gauged N=8 supergravity
from which one can construct A_1 and A_2 tensors. The effective nontrivial
scalar potential can be written as the difference of positive definite terms.
We examine the scalar potential for critical points at which the expectation
value of the scalar field is SO(p)^{+} x SO(q)^{+} x SO(r)^{+} invariant. It
turns out that there is no new extra critical point. However, we do have flow
equations and domain-wall solutions for the scalar fields are the gradient flow
equations of the superpotential that is one of the eigenvalues of A_1 tensor.
| [
{
"created": "Mon, 3 Sep 2001 07:50:36 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2002 13:50:31 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Apr 2002 01:18:03 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Ahn",
"Changhyun",
""
],
[
"Woo",
"Kyungsung",
""
]
] | By studying already known extrema of non-semi-simple Inonu-Wigner contraction CSO(p, q)^{+} and non-compact SO(p, q)^{+}(p+q=8) gauged N=8 supergravity in 4-dimensions developed by Hull sometime ago, one expects there exists nontrivial flow in the 3-dimensional boundary field theory. We find that these gaugings provide first-order domain-wall solutions from direct extremization of energy-density. We also consider the most general CSO(p, q, r)^{+} with p+q+r=8 gauging of N=8 supergravity by two successive SL(8,R) transformations of the de Wit-Nicolai theory, that is, compact SO(8) gauged supergravity. The theory found earlier has local SU(8)x CSO(p, q, r)^{+} gauge symmetry as well as local N=8 supersymmetry. The gauge group CSO(p, q, r)^{+} is spontaneously reduced to its maximal compact subgroup SO(p)^{+} x SO(q)^{+} x U(1)^{+r(r-1)/2}. The T-tensor we obtain describes a two-parameter family of gauged N=8 supergravity from which one can construct A_1 and A_2 tensors. The effective nontrivial scalar potential can be written as the difference of positive definite terms. We examine the scalar potential for critical points at which the expectation value of the scalar field is SO(p)^{+} x SO(q)^{+} x SO(r)^{+} invariant. It turns out that there is no new extra critical point. However, we do have flow equations and domain-wall solutions for the scalar fields are the gradient flow equations of the superpotential that is one of the eigenvalues of A_1 tensor. |
hep-th/9712257 | Christoph Schweigert | J. Fuchs, C. Schweigert | Branes: from free fields to general backgrounds | 56 pages, LaTeX2e. Typos corrected; two references added | Nucl.Phys. B530 (1998) 99-136 | 10.1016/S0550-3213(98)00352-6 | CERN-TH/97-369 | hep-th | null | Motivated by recent developments in string theory, we study the structure of
boundary conditions in arbitrary conformal field theories. A boundary condition
is specified by two types of data: first, a consistent collection of reflection
coefficients for bulk fields on the disk; and second, a choice of an
automorphism $\omega$ of the fusion rules that preserves conformal weights.
Non-trivial automorphisms $\omega$ correspond to D-brane configurations for
arbitrary conformal field theories. The choice of the fusion rule automorphism
$\omega$ amounts to fixing the dimension and certain global topological
features of the D-brane world volume and the background gauge field on it. We
present evidence that for fixed choice of $\omega$ the boundary conditions are
classified as the irreducible representations of some commutative associative
algebra, a generalization of the fusion rule algebra. Each of these irreducible
representations corresponds to a choice of the moduli for the world volume of
the D-brane and the moduli of the flat connection on it.
| [
{
"created": "Wed, 31 Dec 1997 12:04:11 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jan 1998 13:36:20 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Fuchs",
"J.",
""
],
[
"Schweigert",
"C.",
""
]
] | Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of data: first, a consistent collection of reflection coefficients for bulk fields on the disk; and second, a choice of an automorphism $\omega$ of the fusion rules that preserves conformal weights. Non-trivial automorphisms $\omega$ correspond to D-brane configurations for arbitrary conformal field theories. The choice of the fusion rule automorphism $\omega$ amounts to fixing the dimension and certain global topological features of the D-brane world volume and the background gauge field on it. We present evidence that for fixed choice of $\omega$ the boundary conditions are classified as the irreducible representations of some commutative associative algebra, a generalization of the fusion rule algebra. Each of these irreducible representations corresponds to a choice of the moduli for the world volume of the D-brane and the moduli of the flat connection on it. |
0912.5186 | Julio Marny Hoff da Silva | J. M. Hoff da Silva, R. da Rocha | Torsion Effects in Braneworld Scenarios | 9 pages, accepted for publication in Physical Review D | Phys.Rev.D81:024021,2010 | 10.1103/PhysRevD.81.024021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present gravitational aspects of braneworld models endowed with torsion
terms both in the bulk and on the brane. In order to investigate a conceivable
and measurable gravitational effect, arising genuinely from bulk torsion terms,
we analyze the variation in the black hole area by the presence of torsion.
Furthermore, we extend the well known results about consistency conditions in a
framework that incorporates brane torsion terms. It is shown, in a rough
estimate, that the resulting effects are generally suppressed by the internal
space volume. This formalism provides manageable models and their possible
ramifications into some aspects of gravity in this context, and cognizable
corrections and physical effects as well.
| [
{
"created": "Mon, 28 Dec 2009 16:04:17 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"da Silva",
"J. M. Hoff",
""
],
[
"da Rocha",
"R.",
""
]
] | We present gravitational aspects of braneworld models endowed with torsion terms both in the bulk and on the brane. In order to investigate a conceivable and measurable gravitational effect, arising genuinely from bulk torsion terms, we analyze the variation in the black hole area by the presence of torsion. Furthermore, we extend the well known results about consistency conditions in a framework that incorporates brane torsion terms. It is shown, in a rough estimate, that the resulting effects are generally suppressed by the internal space volume. This formalism provides manageable models and their possible ramifications into some aspects of gravity in this context, and cognizable corrections and physical effects as well. |
1203.4777 | Horatiu Stefan Nastase | Cristhiam Lopez-Arcos and Horatiu Nastase | Eliminating ambiguities for quantum corrections to strings moving in
$AdS_4\times \mathbb{CP}^3$ | 18 pages, latex; references added, comments added at end of section
4, a few words changed; footnote added on page 15 | null | 10.1142/S0217751X13500589 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply a physical principle, previously used to eliminate ambiguities in
quantum corrections to the 2 dimensional kink, to the case of spinning strings
moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two
dimensional soliton. We find that this eliminates the ambiguities and selects
the result compatible with AdS/CFT, providing a solid foundation for one of the
previous calculations, which found agreement. The method can be applied to
other classical string "solitons".
| [
{
"created": "Wed, 21 Mar 2012 16:29:07 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2012 23:33:24 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Sep 2012 19:16:12 GMT",
"version": "v3"
}
] | 2015-06-04 | [
[
"Lopez-Arcos",
"Cristhiam",
""
],
[
"Nastase",
"Horatiu",
""
]
] | We apply a physical principle, previously used to eliminate ambiguities in quantum corrections to the 2 dimensional kink, to the case of spinning strings moving in $AdS_4\times \mathbb{CP}^3$, thought of as another kind of two dimensional soliton. We find that this eliminates the ambiguities and selects the result compatible with AdS/CFT, providing a solid foundation for one of the previous calculations, which found agreement. The method can be applied to other classical string "solitons". |
0810.5767 | Axel Kleinschmidt | Eric A. Bergshoeff, Olaf Hohm, Axel Kleinschmidt, Hermann Nicolai,
Teake A. Nutma, Jakob Palmkvist | E10 and Gauged Maximal Supergravity | 34 pages. v2: added references and typos corrected. Published version | JHEP 0901:020,2009 | 10.1088/1126-6708/2009/01/020 | UG-08-13, ULB-TH/08-34, AEI-2008-083 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compare the dynamics of maximal three-dimensional gauged supergravity in
appropriate truncations with the equations of motion that follow from a
one-dimensional E10/K(E10) coset model at the first few levels. The constant
embedding tensor, which describes gauge deformations and also constitutes an
M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises
naturally as an integration constant of the geodesic model. In a detailed
analysis, we find complete agreement at the lowest levels. At higher levels
there appear mismatches, as in previous studies. We discuss the origin of these
mismatches.
| [
{
"created": "Fri, 31 Oct 2008 19:23:19 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2009 15:01:30 GMT",
"version": "v2"
}
] | 2009-01-22 | [
[
"Bergshoeff",
"Eric A.",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Nicolai",
"Hermann",
""
],
[
"Nutma",
"Teake A.",
""
],
[
"Palmkvist",
"Jakob",
""
]
] | We compare the dynamics of maximal three-dimensional gauged supergravity in appropriate truncations with the equations of motion that follow from a one-dimensional E10/K(E10) coset model at the first few levels. The constant embedding tensor, which describes gauge deformations and also constitutes an M-theoretic degree of freedom beyond eleven-dimensional supergravity, arises naturally as an integration constant of the geodesic model. In a detailed analysis, we find complete agreement at the lowest levels. At higher levels there appear mismatches, as in previous studies. We discuss the origin of these mismatches. |
2406.13784 | Mohammad Reza Alipour | Mohammad Reza Alipour, Jafar Sadeghi | The interplay of WGC and WCCC via charged scalar field fluxes in the
RPST framework | 17 pages, 1 table | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, we investigate the weak cosmic censorship conjecture (WCCC)
for the Reissner-Nordstrom (R-N) AdS black hole in a restricted phase space
thermodynamics (RPST). Also here, we consider energy flux and equivalence
mass-energy principle and examine the weak gravity conjecture (WGC) and the
weak cosmic censorship conjecture. The incoming and outgoing energy flux leads
to changes in the black hole. In that case, by applying the first law, we
examined whether the second law of thermodynamics is valid. And also one can
say that, in the case where absorption and superradiance are in the saturated
to an equilibrium. Also, by using the thermodynamics of black holes in the
restricted phase space, we show that if the black hole is in an extreme or
close to an extreme state with radiation and particle absorption, the weak
cosmic censorship conjecture is established. In addition, with the help of
equivalence mass and energy principle and second-order approximation, in the
near extremity, we find that when the black hole radiates and its central
charge is greater than the scaled electric charge, the superradiance particles
obey the weak gravity conjecture, and this causes the black hole to move
further away from its extreme state. But when the particles that obey the weak
gravity conjecture are attracted to the black hole when the black hole is very
small. Then, in this case, we note that the black hole becomes closer to its
extreme state.
| [
{
"created": "Wed, 19 Jun 2024 19:15:06 GMT",
"version": "v1"
}
] | 2024-06-21 | [
[
"Alipour",
"Mohammad Reza",
""
],
[
"Sadeghi",
"Jafar",
""
]
] | In this paper, we investigate the weak cosmic censorship conjecture (WCCC) for the Reissner-Nordstrom (R-N) AdS black hole in a restricted phase space thermodynamics (RPST). Also here, we consider energy flux and equivalence mass-energy principle and examine the weak gravity conjecture (WGC) and the weak cosmic censorship conjecture. The incoming and outgoing energy flux leads to changes in the black hole. In that case, by applying the first law, we examined whether the second law of thermodynamics is valid. And also one can say that, in the case where absorption and superradiance are in the saturated to an equilibrium. Also, by using the thermodynamics of black holes in the restricted phase space, we show that if the black hole is in an extreme or close to an extreme state with radiation and particle absorption, the weak cosmic censorship conjecture is established. In addition, with the help of equivalence mass and energy principle and second-order approximation, in the near extremity, we find that when the black hole radiates and its central charge is greater than the scaled electric charge, the superradiance particles obey the weak gravity conjecture, and this causes the black hole to move further away from its extreme state. But when the particles that obey the weak gravity conjecture are attracted to the black hole when the black hole is very small. Then, in this case, we note that the black hole becomes closer to its extreme state. |
1603.00719 | Peter Conkey | Peter Conkey and Sergei Dubovsky | Four Loop Scattering in the Nambu-Goto Theory | Removed superfluous copy of figure. Corrected sign typos in equation
(19) | null | 10.1007/JHEP05(2016)071 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate the study of multiloop scattering amplitudes in the Nambu-Goto
theory on the worldsheet of a non-critical string. We start with a brute force
calculation of two loop four particle scattering. Somewhat surprisingly, even
though non-trivial UV counterterms are present at this order, on-shell
amplitudes remain polynomial in the momenta of colliding particles. We show
that this can be understood as a consequence of existence of certain close by
(semi)integrable models. Furthermore, these arguments can be extended to obtain
the answer for three and four loop scattering, bypassing the brute force
calculation. The resulting amplitudes develop non-polynomial (logarithmic)
dependence on the momenta starting at three loops.
| [
{
"created": "Wed, 2 Mar 2016 14:18:34 GMT",
"version": "v1"
},
{
"created": "Wed, 11 May 2016 18:57:44 GMT",
"version": "v2"
}
] | 2016-05-20 | [
[
"Conkey",
"Peter",
""
],
[
"Dubovsky",
"Sergei",
""
]
] | We initiate the study of multiloop scattering amplitudes in the Nambu-Goto theory on the worldsheet of a non-critical string. We start with a brute force calculation of two loop four particle scattering. Somewhat surprisingly, even though non-trivial UV counterterms are present at this order, on-shell amplitudes remain polynomial in the momenta of colliding particles. We show that this can be understood as a consequence of existence of certain close by (semi)integrable models. Furthermore, these arguments can be extended to obtain the answer for three and four loop scattering, bypassing the brute force calculation. The resulting amplitudes develop non-polynomial (logarithmic) dependence on the momenta starting at three loops. |
1408.0912 | Yolanda Lozano | Yolanda Lozano, Niall T. Macpherson | A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow | 40 pages, published version | null | 10.1007/JHEP11(2014)115 | FPAUO-14/06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new AdS_4 background in Type IIB supergravity by means of a
non-Abelian T-duality transformation on the Type IIA dual of ABJM. The analysis
of probe and particle-like branes suggests a dual CFT in which each of the
gauge groups is doubled. A common feature of non-Abelian T-duality is that in
the absence of any global information coming from String Theory it gives rise
to non-compact dual backgrounds, with coordinates living in the Lie algebra of
the Lie group involved in the dualization. In backgrounds with CFT duals this
poses obvious problems to the CFTs. In this paper we show that for the new
AdS_4 background the gauge groups of the associated dual CFT undergo a spectral
flow as the non-compact internal direction runs from 0 to infinity, which
resembles Seiberg duality in N=1. This phenomenon, very reminiscent of the
cascade, provides an interpretation in the CFT for the running of the
non-compact coordinate, and suggests that at the end of the flow the extra
charges disappear and the dual CFT is described by a 2-node quiver very similar
to ABJM, albeit with reduced supersymmetry.
| [
{
"created": "Tue, 5 Aug 2014 10:28:25 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Aug 2014 18:31:55 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Nov 2014 19:15:57 GMT",
"version": "v3"
}
] | 2015-06-22 | [
[
"Lozano",
"Yolanda",
""
],
[
"Macpherson",
"Niall T.",
""
]
] | We construct a new AdS_4 background in Type IIB supergravity by means of a non-Abelian T-duality transformation on the Type IIA dual of ABJM. The analysis of probe and particle-like branes suggests a dual CFT in which each of the gauge groups is doubled. A common feature of non-Abelian T-duality is that in the absence of any global information coming from String Theory it gives rise to non-compact dual backgrounds, with coordinates living in the Lie algebra of the Lie group involved in the dualization. In backgrounds with CFT duals this poses obvious problems to the CFTs. In this paper we show that for the new AdS_4 background the gauge groups of the associated dual CFT undergo a spectral flow as the non-compact internal direction runs from 0 to infinity, which resembles Seiberg duality in N=1. This phenomenon, very reminiscent of the cascade, provides an interpretation in the CFT for the running of the non-compact coordinate, and suggests that at the end of the flow the extra charges disappear and the dual CFT is described by a 2-node quiver very similar to ABJM, albeit with reduced supersymmetry. |
1311.4550 | Arash Arabi Ardehali | Arash Arabi Ardehali, James T. Liu, Phillip Szepietowski | The shortened KK spectrum of IIB supergravity on Y^{p,q} | 20 pages; v2: comments added on the results of arXiv:1207.0573 for
the superconformal index; v3: the presented shortened spectrum is emphasized
to be conjectured, and not proved, to be complete | JHEP 1402 (2014) 064 | 10.1007/JHEP02(2014)064 | MCTP-13-39 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the shortened KK spectrum of IIB supergravity compactified on
Y^{p,q} and conjecture that the spectrum we have obtained is complete. The
(untwisted) shortened spectrum on S^5/Z_{2p} and T^{1,1}/Z_p are obtained as
special cases when p=q and q=0, respectively. Knowledge of the shortened
spectrum allows us to compute the superconformal index of these theories and to
find agreement with earlier calculations from the dual field theories. We also
employ the shortened spectrum to perform a 1/N^2 test of AdS/CFT by
holographically reproducing the difference of the central charges, c-a=p/8, of
the dual CFTs.
| [
{
"created": "Mon, 18 Nov 2013 21:00:16 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 2013 00:27:32 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Mar 2014 00:05:05 GMT",
"version": "v3"
}
] | 2014-03-13 | [
[
"Ardehali",
"Arash Arabi",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] | We examine the shortened KK spectrum of IIB supergravity compactified on Y^{p,q} and conjecture that the spectrum we have obtained is complete. The (untwisted) shortened spectrum on S^5/Z_{2p} and T^{1,1}/Z_p are obtained as special cases when p=q and q=0, respectively. Knowledge of the shortened spectrum allows us to compute the superconformal index of these theories and to find agreement with earlier calculations from the dual field theories. We also employ the shortened spectrum to perform a 1/N^2 test of AdS/CFT by holographically reproducing the difference of the central charges, c-a=p/8, of the dual CFTs. |
hep-th/0404056 | Savdeep Sethi | Savdeep Sethi | Structure in Supersymmetric Yang-Mills Theory | 22 pages, LaTeX | JHEP0410:001,2004 | 10.1088/1126-6708/2004/10/001 | null | hep-th | null | We show that requiring sixteen supersymmetries in quantum mechanical gauge
theory implies the existence of a web of constrained interactions. Contrary to
conventional wisdom, these constraints extend to arbitrary orders in the
momentum expansion.
| [
{
"created": "Tue, 6 Apr 2004 21:41:54 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sethi",
"Savdeep",
""
]
] | We show that requiring sixteen supersymmetries in quantum mechanical gauge theory implies the existence of a web of constrained interactions. Contrary to conventional wisdom, these constraints extend to arbitrary orders in the momentum expansion. |
1902.04084 | Daniel Junghans | Daniel Junghans and Marco Zagermann | On SUSY-breaking Moduli Spaces of AdS$_7$ Vacua and 6D SCFTs | 17 pages, 1 figure. v2: minor corrections, references added | null | 10.1007/JHEP08(2019)102 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study supersymmetric AdS$_7$ vacua of massive type IIA string theory,
which were argued to describe the near-horizon limit of NS5/D6/D8-brane
intersections and to be holographically dual to 6D $(1,0)$ theories. We show,
for the case without D8-brane charges, that such vacua do not admit any
supersymmetry-breaking deformations. Our result implies that the dual $(1,0)$
theories do not have a conformal manifold, thus extending previously known
results for supersymmetric deformations. It is also in line with the recent
conjecture that non-supersymmetric AdS vacua are in the swampland.
| [
{
"created": "Mon, 11 Feb 2019 19:00:02 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Aug 2019 10:52:46 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Junghans",
"Daniel",
""
],
[
"Zagermann",
"Marco",
""
]
] | We study supersymmetric AdS$_7$ vacua of massive type IIA string theory, which were argued to describe the near-horizon limit of NS5/D6/D8-brane intersections and to be holographically dual to 6D $(1,0)$ theories. We show, for the case without D8-brane charges, that such vacua do not admit any supersymmetry-breaking deformations. Our result implies that the dual $(1,0)$ theories do not have a conformal manifold, thus extending previously known results for supersymmetric deformations. It is also in line with the recent conjecture that non-supersymmetric AdS vacua are in the swampland. |
hep-th/9510201 | Robert Marnelius | Igor Batalin, Robert Marnelius | General Triplectic Quantization | 19 pages,latexfile,improved wedge product | Nucl.Phys.B465:521-539,1996 | 10.1016/0550-3213(96)00061-2 | ITP-G\"oteborg 95-28 | hep-th | null | The general structure of the Sp(2) covariant version of the field-antifield
quantization of general constrained systems in the Lagrangian formalism, the so
called triplectic quantization, as presented in our previous paper with
A.M.Semikhatov is further generalized and clarified.
We present new unified expressions for the generating operators which are
more invariant and which yield a natural realization of the operator V^a and
provide for a geometrical explanation for its presence. This V^a operator
provides then for an invariant definition of a degenerate Poisson bracket on
the triplectic manifold being nondegenerate on a naturally defined submanifold.
We also define inverses to nondegenerate antitriplectic metrics and give a
natural generalization of the conventional calculus of exterior differential
forms which e g explains the properties of these inverses. Finally we define
and give a consistent treatment of second class hyperconstraints.
| [
{
"created": "Fri, 27 Oct 1995 13:13:06 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 1995 06:56:30 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jan 1996 08:18:46 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Jan 1996 11:30:29 GMT",
"version": "v4"
}
] | 2019-08-17 | [
[
"Batalin",
"Igor",
""
],
[
"Marnelius",
"Robert",
""
]
] | The general structure of the Sp(2) covariant version of the field-antifield quantization of general constrained systems in the Lagrangian formalism, the so called triplectic quantization, as presented in our previous paper with A.M.Semikhatov is further generalized and clarified. We present new unified expressions for the generating operators which are more invariant and which yield a natural realization of the operator V^a and provide for a geometrical explanation for its presence. This V^a operator provides then for an invariant definition of a degenerate Poisson bracket on the triplectic manifold being nondegenerate on a naturally defined submanifold. We also define inverses to nondegenerate antitriplectic metrics and give a natural generalization of the conventional calculus of exterior differential forms which e g explains the properties of these inverses. Finally we define and give a consistent treatment of second class hyperconstraints. |
hep-th/0008116 | Sedra | B. Maroufi, M. Nazah and M. B. Sedra | Extended (Super-) KP-hierarchies and generalised String equations | 14 pages | null | null | null | hep-th math-ph math.MP | null | We propose a consistently algebraic formulation of the extended KP
(supersymmetric) integrable -hierarchy systems. We exploit the results already
established in [14] and which consist in a framework suspected to unify in a
fascinating way all the possible supersymmetric KP-hierarchies and then their
underlying supergravity theories . This construction leads among other to built
explicit non standard integrable Lax evolution equations suspected to reduce to
the well known KP integrable equation. We present also a contribution of our
construction to the subject of string equation and solitons. Other algebraic
properties are also presented
| [
{
"created": "Mon, 14 Aug 2000 14:41:28 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jan 2008 19:58:55 GMT",
"version": "v2"
},
{
"created": "Wed, 30 Jan 2008 00:34:29 GMT",
"version": "v3"
}
] | 2008-01-30 | [
[
"Maroufi",
"B.",
""
],
[
"Nazah",
"M.",
""
],
[
"Sedra",
"M. B.",
""
]
] | We propose a consistently algebraic formulation of the extended KP (supersymmetric) integrable -hierarchy systems. We exploit the results already established in [14] and which consist in a framework suspected to unify in a fascinating way all the possible supersymmetric KP-hierarchies and then their underlying supergravity theories . This construction leads among other to built explicit non standard integrable Lax evolution equations suspected to reduce to the well known KP integrable equation. We present also a contribution of our construction to the subject of string equation and solitons. Other algebraic properties are also presented |
1604.03665 | Niko Jokela | Yago Bea, Niko Jokela, Alfonso V. Ramallo | Quantum phase transitions with dynamical flavors | 39 pages, 13 figures; v2: two new figures, refs, and more discussion
added; published version | Phys. Rev. D 94, 026003 (2016) | 10.1103/PhysRevD.94.026003 | HIP-2016-16/TH | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the properties of a D6-brane probe in the ABJM background with
smeared massless dynamical quarks in the Veneziano limit. Working at zero
temperature and non-vanishing charge density, we show that the system undergoes
a quantum phase transition in which the topology of the brane embedding changes
from a black hole to a Minkowski embedding. In the unflavored background the
phase transition is of second order and takes place when the charge density
vanishes. We determine the corresponding critical exponents and show that the
scaling behavior near the quantum critical point has multiplicative logarithmic
corrections. In the background with dynamical quarks the phase transition is of
first order and occurs at non-zero charge density. In this case we compute the
discontinuity of several physical quantities as functions of the number $N_f$
of unquenched quarks of the background.
| [
{
"created": "Wed, 13 Apr 2016 06:04:51 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jun 2016 12:38:05 GMT",
"version": "v2"
}
] | 2016-07-13 | [
[
"Bea",
"Yago",
""
],
[
"Jokela",
"Niko",
""
],
[
"Ramallo",
"Alfonso V.",
""
]
] | We study the properties of a D6-brane probe in the ABJM background with smeared massless dynamical quarks in the Veneziano limit. Working at zero temperature and non-vanishing charge density, we show that the system undergoes a quantum phase transition in which the topology of the brane embedding changes from a black hole to a Minkowski embedding. In the unflavored background the phase transition is of second order and takes place when the charge density vanishes. We determine the corresponding critical exponents and show that the scaling behavior near the quantum critical point has multiplicative logarithmic corrections. In the background with dynamical quarks the phase transition is of first order and occurs at non-zero charge density. In this case we compute the discontinuity of several physical quantities as functions of the number $N_f$ of unquenched quarks of the background. |
1412.7046 | Dario Zappala | Alfio Bonanno, Dario Zappala | Isotropic Lifshitz critical behavior from the functional renormalization
group | Published version.Minor corrections and references added | Nucl.Phys. B893 (2015) 501-511 | 10.1016/j.nuclphysb.2015.02.013 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Lifshitz critical behavior for a single component field theory is studied
for the specific isotropic case in the framework of the Functional
Renormalization Group. Lifshitz fixed point solutions of the flow equation,
derived by using a Proper Time regulator, are searched at lowest and higher
order in the derivative expansion. Solutions are found when the number of
spatial dimensions d is contained within the interval 5.5 < d < 8.
| [
{
"created": "Mon, 22 Dec 2014 16:38:13 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2015 15:52:31 GMT",
"version": "v2"
}
] | 2015-03-06 | [
[
"Bonanno",
"Alfio",
""
],
[
"Zappala",
"Dario",
""
]
] | The Lifshitz critical behavior for a single component field theory is studied for the specific isotropic case in the framework of the Functional Renormalization Group. Lifshitz fixed point solutions of the flow equation, derived by using a Proper Time regulator, are searched at lowest and higher order in the derivative expansion. Solutions are found when the number of spatial dimensions d is contained within the interval 5.5 < d < 8. |
0712.0385 | Kazuya Koyama | Olindo Corradini, Kazuya Koyama and Gianmassimo Tasinato | Induced gravity on intersecting brane-worlds Part I: Maximally symmetric
solutions | 16 pages, some mistakes in the identification of the higher
codimensional singular structure corrected. Main results unchanged | Phys.Rev.D77:084006,2008 | 10.1103/PhysRevD.77.084006 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore models of intersecting brane-worlds with induced gravity terms on
codimension one branes and on their intersection. Maximally symmetric solutions
for the branes and the intersection are found. We find new self-accelerating
solutions. In a 6d spacetime, the solutions realize the see-saw modification of
gravity where the UV scale of the modification to 4d gravity is determined by
6d Planck scale given by $M_6 \sim 10^{-3}$eV and the IR scale of the
modification is determined by $M_6^2/M_4 \sim H_0 \sim 10^{-42}$ GeV where
$H_0$ is present-day Hubble scale. We find that it is increasingly difficult to
construct phenomenologically viable models in higher-dimensional spacetime due
to the necessity to have the lower value for the fundamental Planck scale to
realize the late time acceleration. It is found that the system also admits
self-tuning solutions where the tension at the intersection does not change the
geometry of the intersection. The induced gravity terms can avoid the necessity
to compactify the extra dimensions. Finally, we discuss the possibility to have
ordinary matter at the intersection, without introducing any regularisation,
using the induced gravity terms.
| [
{
"created": "Mon, 3 Dec 2007 21:13:29 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Mar 2008 21:08:10 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Oct 2008 13:42:28 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Corradini",
"Olindo",
""
],
[
"Koyama",
"Kazuya",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] | We explore models of intersecting brane-worlds with induced gravity terms on codimension one branes and on their intersection. Maximally symmetric solutions for the branes and the intersection are found. We find new self-accelerating solutions. In a 6d spacetime, the solutions realize the see-saw modification of gravity where the UV scale of the modification to 4d gravity is determined by 6d Planck scale given by $M_6 \sim 10^{-3}$eV and the IR scale of the modification is determined by $M_6^2/M_4 \sim H_0 \sim 10^{-42}$ GeV where $H_0$ is present-day Hubble scale. We find that it is increasingly difficult to construct phenomenologically viable models in higher-dimensional spacetime due to the necessity to have the lower value for the fundamental Planck scale to realize the late time acceleration. It is found that the system also admits self-tuning solutions where the tension at the intersection does not change the geometry of the intersection. The induced gravity terms can avoid the necessity to compactify the extra dimensions. Finally, we discuss the possibility to have ordinary matter at the intersection, without introducing any regularisation, using the induced gravity terms. |
hep-th/0312049 | Catherine Meusburger | C. Meusburger, B.J. Schroers | Mapping class group actions in Chern-Simons theory with gauge group
$G\ltimes\mathfrak{g}^*$ | 30 pages, 5 eps figures; corrections concerning the mapping class
group which acts on the Poisson algebra discussed in the paper | Nucl.Phys. B706 (2005) 569-597 | 10.1016/j.nuclphysb.2004.10.057 | EMPG-03-23 | hep-th gr-qc math-ph math.MP | null | We study the action of the mapping class group of an oriented genus g surface
with n punctures and a disc removed on a Poisson algebra which arises in the
combinatorial description of Chern-Simons gauge theory when the gauge group is
a semidirect product $G\ltimes\mathfrak{g}^*$. We prove that the mapping class
group acts on this algebra via Poisson isomorphisms and express the action of
Dehn twists in terms of an infinitesimally generated G-action. We construct a
mapping class group representation on the representation spaces of the
associated quantum algebra and show that Dehn twists can be implemented via the
ribbon element of the quantum double D(G) and the exchange of punctures via its
universal R-matrix.
| [
{
"created": "Thu, 4 Dec 2003 17:14:29 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Feb 2004 14:26:43 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Meusburger",
"C.",
""
],
[
"Schroers",
"B. J.",
""
]
] | We study the action of the mapping class group of an oriented genus g surface with n punctures and a disc removed on a Poisson algebra which arises in the combinatorial description of Chern-Simons gauge theory when the gauge group is a semidirect product $G\ltimes\mathfrak{g}^*$. We prove that the mapping class group acts on this algebra via Poisson isomorphisms and express the action of Dehn twists in terms of an infinitesimally generated G-action. We construct a mapping class group representation on the representation spaces of the associated quantum algebra and show that Dehn twists can be implemented via the ribbon element of the quantum double D(G) and the exchange of punctures via its universal R-matrix. |
hep-th/0309269 | Jurgen Fuchs | J"urg Fr"ohlich, J"urgen Fuchs, Ingo Runkel, Christoph Schweigert | Algebras in tensor categories and coset conformal field theories | 6 pages, 3 figures; Proceeding Ahrenshoop 2003 | Fortsch.Phys. 52 (2004) 672-677 | 10.1002/prop.200310162 | HU-EP-03/68 | hep-th | null | The coset construction is the most important tool to construct rational
conformal field theories with known chiral data. For some cosets at small
level, so-called maverick cosets, the familiar analysis using selection and
identification rules breaks down. Intriguingly, this phenomenon is linked to
the existence of exceptional modular invariants. Recent progress in CFT, based
on studying algebras in tensor categories, allows for a universal construction
of the chiral data of coset theories which in particular also applies to
maverick cosets.
| [
{
"created": "Tue, 30 Sep 2003 16:37:27 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Fr\"ohlich",
"J\"urg",
""
],
[
"Fuchs",
"J\"urgen",
""
],
[
"Runkel",
"Ingo",
""
],
[
"Schweigert",
"Christoph",
""
]
] | The coset construction is the most important tool to construct rational conformal field theories with known chiral data. For some cosets at small level, so-called maverick cosets, the familiar analysis using selection and identification rules breaks down. Intriguingly, this phenomenon is linked to the existence of exceptional modular invariants. Recent progress in CFT, based on studying algebras in tensor categories, allows for a universal construction of the chiral data of coset theories which in particular also applies to maverick cosets. |
1604.08617 | Panagiota Kanti | T. Pappas, P. Kanti and N. Pappas | Hawking Radiation Spectra for Scalar Fields by a Higher-Dimensional
Schwarzschild-de-Sitter Black Hole | Latex2e file, 30 pages, 16 figures, 3 Tables, typos corrected,
version to appear in Physical Review D | Phys. Rev. D 94, 024035 (2016) | 10.1103/PhysRevD.94.024035 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we study the propagation of scalar fields in the gravitational
background of a higher-dimensional Schwarzschild-de-Sitter black hole as well
as on the projected-on-the-brane 4-dimensional background. The scalar fields
have also a non-minimal coupling to the corresponding, bulk or brane, scalar
curvature. We perform a comprehensive study by deriving exact numerical results
for the greybody factors, and study their profile in terms of particle and
spacetime properties. We then proceed to derive the Hawking radiation spectra
for a higher-dimensional Schwarzschild-de-Sitter black hole, and we study both
bulk and brane channels. We demonstrate that the non-minimal field coupling,
that creates an effective mass term for the fields, suppresses the energy
emission rates while the cosmological constant assumes a dual role. By
computing the relative energy rates and the total emissivity ratio for bulk and
brane emission, we demonstrate that the combined effect of a large number of
extra dimensions and value of the field coupling gives to the bulk channel the
clear domination in the bulk-brane energy balance.
| [
{
"created": "Thu, 28 Apr 2016 21:02:58 GMT",
"version": "v1"
},
{
"created": "Sat, 13 Aug 2016 21:07:23 GMT",
"version": "v2"
}
] | 2016-08-16 | [
[
"Pappas",
"T.",
""
],
[
"Kanti",
"P.",
""
],
[
"Pappas",
"N.",
""
]
] | In this work, we study the propagation of scalar fields in the gravitational background of a higher-dimensional Schwarzschild-de-Sitter black hole as well as on the projected-on-the-brane 4-dimensional background. The scalar fields have also a non-minimal coupling to the corresponding, bulk or brane, scalar curvature. We perform a comprehensive study by deriving exact numerical results for the greybody factors, and study their profile in terms of particle and spacetime properties. We then proceed to derive the Hawking radiation spectra for a higher-dimensional Schwarzschild-de-Sitter black hole, and we study both bulk and brane channels. We demonstrate that the non-minimal field coupling, that creates an effective mass term for the fields, suppresses the energy emission rates while the cosmological constant assumes a dual role. By computing the relative energy rates and the total emissivity ratio for bulk and brane emission, we demonstrate that the combined effect of a large number of extra dimensions and value of the field coupling gives to the bulk channel the clear domination in the bulk-brane energy balance. |
1806.07426 | Shouvik Datta | Shouvik Datta and Yunfeng Jiang | $T\bar{T}$ deformed partition functions | Published version | JHEP 08 (2018) 106 | 10.1007/JHEP08(2018)106 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We demonstrate the presence of modular properties in partition functions of
$T\bar{T}$ deformed conformal field theories. These properties are verified
explicitly for the deformed free boson. The modular features facilitate a
derivation of the asymptotic density of states in these theories, which turns
out to interpolate between Cardy and Hagedorn behaviours. We also point out a
sub-sector of the spectrum that remains undeformed under the $T\bar{T}$ flow.
Finally, we comment on the deformation of the CFT vacuum character and its
implications for the holographic dual.
| [
{
"created": "Tue, 19 Jun 2018 19:00:29 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jul 2018 12:37:53 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Aug 2018 13:10:01 GMT",
"version": "v3"
},
{
"created": "Tue, 21 Aug 2018 12:53:53 GMT",
"version": "v4"
}
] | 2018-08-22 | [
[
"Datta",
"Shouvik",
""
],
[
"Jiang",
"Yunfeng",
""
]
] | We demonstrate the presence of modular properties in partition functions of $T\bar{T}$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson. The modular features facilitate a derivation of the asymptotic density of states in these theories, which turns out to interpolate between Cardy and Hagedorn behaviours. We also point out a sub-sector of the spectrum that remains undeformed under the $T\bar{T}$ flow. Finally, we comment on the deformation of the CFT vacuum character and its implications for the holographic dual. |
hep-th/0409197 | Pierre Vanhove | Emmanuel Kohlprath, Pierre Vanhove | Localized gravity in non-compact superstring models | 12 Pages. Based on some unpublished work presented at Quarks-2004,
Pushkinskie Gory, Russia, May 24-30 | null | null | SPhT-T04/115, CPHT-PC-051.0904 | hep-th | null | We discuss a string-theory-derived mechanism for localized gravity, which
produces a deviation from Newton's law of gravitation at cosmological
distances. This mechanism can be realized for general non-compact Calabi-Yau
manifolds, orbifolds and orientifolds. After discussing the cross-over scale
and the thickness in these models we show that the localized higher derivative
terms can be safely neglected at observable distances. We conclude by some
observations on the massless open string spectrum for the orientifold models.
| [
{
"created": "Mon, 20 Sep 2004 12:42:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kohlprath",
"Emmanuel",
""
],
[
"Vanhove",
"Pierre",
""
]
] | We discuss a string-theory-derived mechanism for localized gravity, which produces a deviation from Newton's law of gravitation at cosmological distances. This mechanism can be realized for general non-compact Calabi-Yau manifolds, orbifolds and orientifolds. After discussing the cross-over scale and the thickness in these models we show that the localized higher derivative terms can be safely neglected at observable distances. We conclude by some observations on the massless open string spectrum for the orientifold models. |
hep-th/9306061 | Jakub Rembielinski | T. Brzezinski, L.C. Papaloucas, J. Rembielinski | Quantum Clifford Algebras | LaTeX (kluwer), 6pp | null | null | null | hep-th | null | Quantum multiparameter deformation of real Clifford algebras is proposed. The
corresponding irreducible representations are found.
| [
{
"created": "Mon, 14 Jun 1993 09:23:38 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 1993 08:51:12 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Brzezinski",
"T.",
""
],
[
"Papaloucas",
"L. C.",
""
],
[
"Rembielinski",
"J.",
""
]
] | Quantum multiparameter deformation of real Clifford algebras is proposed. The corresponding irreducible representations are found. |
2001.09088 | Andrey Shkerin | Mikhail Shaposhnikov, Andrey Shkerin, Sebastian Zell | Standard Model Meets Gravity: Electroweak Symmetry Breaking and
Inflation | 11 pages, 2 figures; v2: mistake in eq. (23) corrected, appendices
added, other minor improvements; v3: expanded discussion on validity of
semiclassical approximation, matches published version | Phys. Rev. D 103, 033006 (2021) | 10.1103/PhysRevD.103.033006 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a model for combining the Standard Model (SM) with gravity. It
relies on a non-minimal coupling of the Higgs field to the Ricci scalar and on
the Palatini formulation of gravity. Without introducing any new degrees of
freedom in addition to those of the SM and the graviton, this scenario achieves
two goals. First, it generates the electroweak symmetry breaking by a
non-perturbative gravitational effect. In this way, it does not only address
the hierarchy problem but opens up the possibility to calculate the Higgs mass.
Second, the model incorporates inflation at energies below the onset of
strong-coupling of the theory. Provided that corrections due to new physics
above the scale of inflation are not unnaturally large, we can relate
inflationary parameters to data from collider experiments.
| [
{
"created": "Fri, 24 Jan 2020 16:54:27 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Aug 2020 10:07:50 GMT",
"version": "v2"
},
{
"created": "Fri, 28 May 2021 17:35:37 GMT",
"version": "v3"
}
] | 2021-05-31 | [
[
"Shaposhnikov",
"Mikhail",
""
],
[
"Shkerin",
"Andrey",
""
],
[
"Zell",
"Sebastian",
""
]
] | We propose a model for combining the Standard Model (SM) with gravity. It relies on a non-minimal coupling of the Higgs field to the Ricci scalar and on the Palatini formulation of gravity. Without introducing any new degrees of freedom in addition to those of the SM and the graviton, this scenario achieves two goals. First, it generates the electroweak symmetry breaking by a non-perturbative gravitational effect. In this way, it does not only address the hierarchy problem but opens up the possibility to calculate the Higgs mass. Second, the model incorporates inflation at energies below the onset of strong-coupling of the theory. Provided that corrections due to new physics above the scale of inflation are not unnaturally large, we can relate inflationary parameters to data from collider experiments. |
0804.0654 | Kristian McDonald | Kristian L. McDonald | Little Randall-Sundrum Model and a Multiply Warped Spacetime | 9 pages; v2 has added reference and typo corrected | Phys.Rev.D77:124046,2008 | 10.1103/PhysRevD.77.124046 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A recent work has investigated the possibility that the mass scale for the
ultraviolet (UV) brane in the Randall-Sundrum (RS) model is of the order 10^3
TeV. In this so called ``Little Randall-Sundrum'' (LRS) model the bounds on the
gauge sector are less severe, permitting a lower Kaluza-Klein scale and cleaner
discovery channels. However employing a low UV scale nullifies one major appeal
of the RS model; namely the elegant explanation of the hierarchy between the
Planck and weak scales. In this work we show that by localizing the gauge,
fermion and scalar sector of the LRS model on a five dimensional slice of a
doubly warped spacetime one may obtain the low UV brane scale employed in the
LRS model and motivate the weak-Planck hierarchy. We also consider the
generalization to an n-warped spacetime.
| [
{
"created": "Fri, 4 Apr 2008 05:49:29 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Apr 2008 17:30:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"McDonald",
"Kristian L.",
""
]
] | A recent work has investigated the possibility that the mass scale for the ultraviolet (UV) brane in the Randall-Sundrum (RS) model is of the order 10^3 TeV. In this so called ``Little Randall-Sundrum'' (LRS) model the bounds on the gauge sector are less severe, permitting a lower Kaluza-Klein scale and cleaner discovery channels. However employing a low UV scale nullifies one major appeal of the RS model; namely the elegant explanation of the hierarchy between the Planck and weak scales. In this work we show that by localizing the gauge, fermion and scalar sector of the LRS model on a five dimensional slice of a doubly warped spacetime one may obtain the low UV brane scale employed in the LRS model and motivate the weak-Planck hierarchy. We also consider the generalization to an n-warped spacetime. |
hep-th/0311047 | Shih-Yuin Lin | Shih-Yuin Lin | Quantum Corrections to Synchrotron Radiation from Wave-Packet | 7 pages, no figure | Phys.Lett. A317 (2003) 37 | 10.1016/j.physleta.2003.08.035 | null | hep-th | null | We calculate the radiated energy to $O(\hbar)$ from a charged wave-packet in
the uniform magnetic field. In the high-speed and weak-field limit, while the
non-commutativity of the system reduces the classical radiation, the additional
corrections originated from the velocity uncertainty of the wave-packet leads
to an enhancement of the radiation.
| [
{
"created": "Thu, 6 Nov 2003 09:38:54 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Lin",
"Shih-Yuin",
""
]
] | We calculate the radiated energy to $O(\hbar)$ from a charged wave-packet in the uniform magnetic field. In the high-speed and weak-field limit, while the non-commutativity of the system reduces the classical radiation, the additional corrections originated from the velocity uncertainty of the wave-packet leads to an enhancement of the radiation. |
hep-th/9502054 | David Wiltshire | S.J. Poletti, J. Twamley and D.L. Wiltshire | Dyonic dilaton black holes | 24 pages, phyzzx, epsf, 7 in-text figures. Small addition to
introduction, and a few extra references | Class.Quant.Grav.12:1753-1770,1995; ERRATUM-ibid.12:2355,1995 | 10.1088/0264-9381/12/7/017 | ADP-95-9/M27 | hep-th gr-qc | null | The properties of static spherically symmetric black holes, which are both
electrically and magnetically charged, and which are coupled to the dilaton in
the presence of a cosmological constant, Lambda, are considered. It is shown
that apart from the Reissner-Nordstrom-de Sitter solution with constant
dilaton, such solutions do not exist if Lambda > 0 (in arbitrary spacetime
dimension >=4 ). However, asymptotically anti-de Sitter dyonic black hole
solutions with a non-trivial dilaton do exist if Lambda < 0. Both these
solutions and the asymptotically flat (Lambda = 0) solutions are studied
numerically for arbitrary values of the dilaton coupling parameter, g_0, in
four dimensions. The asymptotically flat solutions are found to exhibit two
horizons if g_0 = 0, 1, \sqrt{3}, \sqrt{6}, ..., \sqrt{n(n+1)/2},..., and one
horizon otherwise. For asymptotically anti-de Sitter solutions the result is
similar, but the corresponding values of g_0 are altered in a non-linear
fashion which depends on Lambda and the mass and charges of the black holes.
All dyonic solutions with Lambda <= 0 are found to have zero Hawking
temperature in the extreme limit, however, regardless of the value of g_0.
| [
{
"created": "Wed, 8 Feb 1995 05:29:15 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 1995 06:28:49 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Apr 1995 07:42:20 GMT",
"version": "v3"
}
] | 2010-04-06 | [
[
"Poletti",
"S. J.",
""
],
[
"Twamley",
"J.",
""
],
[
"Wiltshire",
"D. L.",
""
]
] | The properties of static spherically symmetric black holes, which are both electrically and magnetically charged, and which are coupled to the dilaton in the presence of a cosmological constant, Lambda, are considered. It is shown that apart from the Reissner-Nordstrom-de Sitter solution with constant dilaton, such solutions do not exist if Lambda > 0 (in arbitrary spacetime dimension >=4 ). However, asymptotically anti-de Sitter dyonic black hole solutions with a non-trivial dilaton do exist if Lambda < 0. Both these solutions and the asymptotically flat (Lambda = 0) solutions are studied numerically for arbitrary values of the dilaton coupling parameter, g_0, in four dimensions. The asymptotically flat solutions are found to exhibit two horizons if g_0 = 0, 1, \sqrt{3}, \sqrt{6}, ..., \sqrt{n(n+1)/2},..., and one horizon otherwise. For asymptotically anti-de Sitter solutions the result is similar, but the corresponding values of g_0 are altered in a non-linear fashion which depends on Lambda and the mass and charges of the black holes. All dyonic solutions with Lambda <= 0 are found to have zero Hawking temperature in the extreme limit, however, regardless of the value of g_0. |
1708.03870 | Frederic P. Schuller | Jonas Schneider, Frederic P. Schuller, Nadine Stritzelberger, Florian
Wolz | Gravitational closure of weakly birefringent electrodynamics | 32 pages, no figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the gravitational dynamics of the tensorial geometry which
underlies the most general linear theory of electrodynamics that features weak
birefringence in vacuo. This derivation is performed by way of gravitational
closure, which is a mechanism that employs the causal structure of any
canonically quantizable matter dynamics on some tensorial spacetime geometry in
order to derive canonical dynamics for the latter. The resulting
eleven-parameter family of weak gravitational field equations allows to predict
where vacuum birefringence will occur, if there is any.
| [
{
"created": "Sun, 13 Aug 2017 07:50:29 GMT",
"version": "v1"
}
] | 2017-08-15 | [
[
"Schneider",
"Jonas",
""
],
[
"Schuller",
"Frederic P.",
""
],
[
"Stritzelberger",
"Nadine",
""
],
[
"Wolz",
"Florian",
""
]
] | We derive the gravitational dynamics of the tensorial geometry which underlies the most general linear theory of electrodynamics that features weak birefringence in vacuo. This derivation is performed by way of gravitational closure, which is a mechanism that employs the causal structure of any canonically quantizable matter dynamics on some tensorial spacetime geometry in order to derive canonical dynamics for the latter. The resulting eleven-parameter family of weak gravitational field equations allows to predict where vacuum birefringence will occur, if there is any. |
1003.2536 | Massimo Bianchi | Massimo Bianchi and Wayne de Paula | On Exact Symmetries and Massless Vectors in Holographic Flows and other
Flux Vacua | 23 pages | JHEP 1004:113,2010 | 10.1007/JHEP04(2010)113 | ROM2F/2009/33 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the isometries of Type IIB flux vacua based on the
Papadopolous-Tseytlin ansatz and identify the related massless bulk vector
fields. To this end we devise a general ansatz, valid in any flux
compactification, for the fluctuations of the metric and p-forms that
diagonalizes the coupled equations. We then illustrate the procedure in the
simple case of holographic flows driven by the RR 3-form flux only.
Specifically we study the fate of the isometries of the Maldacena-Nunez
solution associated to wrapped D5-branes.
| [
{
"created": "Fri, 12 Mar 2010 13:27:26 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Bianchi",
"Massimo",
""
],
[
"de Paula",
"Wayne",
""
]
] | We analyze the isometries of Type IIB flux vacua based on the Papadopolous-Tseytlin ansatz and identify the related massless bulk vector fields. To this end we devise a general ansatz, valid in any flux compactification, for the fluctuations of the metric and p-forms that diagonalizes the coupled equations. We then illustrate the procedure in the simple case of holographic flows driven by the RR 3-form flux only. Specifically we study the fate of the isometries of the Maldacena-Nunez solution associated to wrapped D5-branes. |
hep-th/9602156 | Marco D'Attanasio | Marco D'Attanasio and Tim R. Morris | Gauge Invariance, the Quantum Action Principle, and the Renormalization
Group | 11 pages, latex, no figures, one reference added, version to be
published on Phys. Lett. B | Phys.Lett. B378 (1996) 213-221 | 10.1016/0370-2693(96)00411-X | SHEP 96-08 | hep-th | null | If the Wilsonian renormalization group (RG) is formulated with a cutoff that
breaks gauge invariance, then gauge invariance may be recovered only once the
cutoff is removed and only once a set of effective Ward identities is imposed.
We show that an effective Quantum Action Principle can be formulated in
perturbation theory which enables the effective Ward identities to be solved
order by order, even if the theory requires non-vanishing subtraction points.
The difficulties encountered with non-perturbative approximations are briefly
discussed.
| [
{
"created": "Tue, 27 Feb 1996 18:07:18 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Mar 1996 12:16:18 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"D'Attanasio",
"Marco",
""
],
[
"Morris",
"Tim R.",
""
]
] | If the Wilsonian renormalization group (RG) is formulated with a cutoff that breaks gauge invariance, then gauge invariance may be recovered only once the cutoff is removed and only once a set of effective Ward identities is imposed. We show that an effective Quantum Action Principle can be formulated in perturbation theory which enables the effective Ward identities to be solved order by order, even if the theory requires non-vanishing subtraction points. The difficulties encountered with non-perturbative approximations are briefly discussed. |
1009.2089 | Anzhong Wang | Anzhong Wang and Yumei Wu | Cosmology in nonrelativistic general covariant theory of gravity | Revtex4, no figures. Gauge freedom was clarified and typos were
corrected. Version to appear in Physical Reviews D | Phys.Rev.D83:044031,2011 | 10.1103/PhysRevD.83.044031 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Horava and Melby-Thompson recently proposed a new version of the
Horava-Lifshitz theory of gravity, in which the spin-0 graviton is eliminated
by introducing a Newtonian pre-potential $\phi$ and a local U(1) gauge field
$A$. In this paper, we first derive the corresponding Hamiltonian,
super-momentum constraints, the dynamical equations, and the equations for
$\phi$ and $A$, in the presence of matter fields. Then, we apply the theory to
cosmology, and obtain the modified Friedmann equation and the conservation law
of energy, in addition to the equations for $\phi$ and $A$. When the spatial
curvature is different from zero, terms behaving like dark radiation and
stiff-fluid exist, from which, among other possibilities, bouncing universe can
be constructed. We also study linear perturbations of the FRW universe with any
given spatial curvature $k$, and derive the most general formulas for scalar
perturbations. The vector and tensor perturbations are the same as those
recently given by one of the present authors [A. Wang, Phys. Rev. D{\bf 82},
124063 (2010)] in the setup of Sotiriou, Visser and Weinfurtner. Applying these
formulas to the Minkowski background, we have shown explicitly that the scalar
and vector perturbations of the metric indeed vanish, and the only remaining
modes are the massless spin-2 gravitons.
| [
{
"created": "Fri, 10 Sep 2010 20:03:18 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 2010 02:22:57 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Jan 2011 02:19:08 GMT",
"version": "v3"
}
] | 2011-02-23 | [
[
"Wang",
"Anzhong",
""
],
[
"Wu",
"Yumei",
""
]
] | Horava and Melby-Thompson recently proposed a new version of the Horava-Lifshitz theory of gravity, in which the spin-0 graviton is eliminated by introducing a Newtonian pre-potential $\phi$ and a local U(1) gauge field $A$. In this paper, we first derive the corresponding Hamiltonian, super-momentum constraints, the dynamical equations, and the equations for $\phi$ and $A$, in the presence of matter fields. Then, we apply the theory to cosmology, and obtain the modified Friedmann equation and the conservation law of energy, in addition to the equations for $\phi$ and $A$. When the spatial curvature is different from zero, terms behaving like dark radiation and stiff-fluid exist, from which, among other possibilities, bouncing universe can be constructed. We also study linear perturbations of the FRW universe with any given spatial curvature $k$, and derive the most general formulas for scalar perturbations. The vector and tensor perturbations are the same as those recently given by one of the present authors [A. Wang, Phys. Rev. D{\bf 82}, 124063 (2010)] in the setup of Sotiriou, Visser and Weinfurtner. Applying these formulas to the Minkowski background, we have shown explicitly that the scalar and vector perturbations of the metric indeed vanish, and the only remaining modes are the massless spin-2 gravitons. |
hep-th/0308025 | Patricio Gaete | P. Gaete and E. I. Guendelman | The Cornell confining potential from spontaneous breaking of scale
symmetry | 11 pages | null | null | USM-TH-141 | hep-th | null | We show that one can obtain naturally the Cornell confining potential from
the spontaneous symmetry breaking of scale invariance in gauge theory. At the
classical level a confining force is obtained and at the quantum level, using a
gauge invariant but path-dependent variables formalism, the Cornell confining
potential is explicitly obtained.
| [
{
"created": "Mon, 4 Aug 2003 18:49:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gaete",
"P.",
""
],
[
"Guendelman",
"E. I.",
""
]
] | We show that one can obtain naturally the Cornell confining potential from the spontaneous symmetry breaking of scale invariance in gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. |
hep-th/9904033 | Boris Koers | Michael Haack (Martin-Luther-U., Halle-Wittenberg), Boris Kors, Dieter
Lust (Humboldt U., Berlin) | Recent Developments in String Theory: From Perturbative Dualities to
M-Theory | Lectures delivered by D. Lust at Saalburg in September 1998, 58
pages, 10 figures | null | null | null | hep-th | null | These lectures intend to give a pedagogical introduction into some of the
developments in string theory during the last years. They include perturbative
T-duality and non perturbative S- and U-dualities, their unavoidable demand for
D-branes, an example of enhanced gauge symmetry at fixed points of the
T-duality group, a review of classical solitonic solutions in general
relativity, gauge theories and tendimensional supergravity, a discussion of
their BPS nature, Polchinski's observations that allow to view D-branes as RR
charged states in the non perturbative string spectrum, the application of all
this to the computation of the black hole entropy and Hawking radiation and
finally a brief survey of how everything fits together in M-theory.
| [
{
"created": "Tue, 6 Apr 1999 09:43:46 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Haack",
"Michael",
"",
"Martin-Luther-U., Halle-Wittenberg"
],
[
"Kors",
"Boris",
"",
"Humboldt U., Berlin"
],
[
"Lust",
"Dieter",
"",
"Humboldt U., Berlin"
]
] | These lectures intend to give a pedagogical introduction into some of the developments in string theory during the last years. They include perturbative T-duality and non perturbative S- and U-dualities, their unavoidable demand for D-branes, an example of enhanced gauge symmetry at fixed points of the T-duality group, a review of classical solitonic solutions in general relativity, gauge theories and tendimensional supergravity, a discussion of their BPS nature, Polchinski's observations that allow to view D-branes as RR charged states in the non perturbative string spectrum, the application of all this to the computation of the black hole entropy and Hawking radiation and finally a brief survey of how everything fits together in M-theory. |
hep-th/9211104 | Junichi Shiraishi | Takashi Sano and Jun'ichi Shiraishi | The Non-perturbative Canonical Quantization of the N=1 Supergravity | 20 pages, UT-622 | Nucl.Phys.B410:423-450,1993 | 10.1016/0550-3213(93)90442-R | null | hep-th | null | The non-perturbative canonical quantization of the N=1 supergravity with the
non-zero cosmological constant is studied using the Ashtekar formalism. A
semi-classical wave function is obtained and it has the form of the exponential
of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1
supergravity in the Robertson-Walker universe is also examined and some
analytic solutions are obtained. (We omit all graphs in the following LaTex
file.)
| [
{
"created": "Tue, 24 Nov 1992 06:27:43 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Sano",
"Takashi",
""
],
[
"Shiraishi",
"Jun'ichi",
""
]
] | The non-perturbative canonical quantization of the N=1 supergravity with the non-zero cosmological constant is studied using the Ashtekar formalism. A semi-classical wave function is obtained and it has the form of the exponential of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1 supergravity in the Robertson-Walker universe is also examined and some analytic solutions are obtained. (We omit all graphs in the following LaTex file.) |
1306.2501 | Anirban Basu | Anirban Basu | The structure of the R^8 term in type IIB string theory | 35 pages, LaTeX | null | 10.1088/0264-9381/30/23/235028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the structure of the on-shell linearized superspace of type IIB
supergravity, we argue that there is a non--BPS 16 derivative interaction in
the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2,
which we call the R^8 interaction. It lies in the same supermultiplet as the
G^8 R^4 interaction. Using the KLT relation, we analyse the structure of the
tree level eight graviton scattering amplitude in the type IIB theory, which
leads to the R^8 interaction at the linearized level. This involves an analysis
of color ordered multi-gluon disc amplitudes in the type I theory, which shows
an intricate pole structure and transcendentality consistent with various other
interactions. Considerations of S-duality show that the R^8 interaction
receives non-analytic contributions in the string coupling at one and two
loops. Apart from receiving perturbative contributions, we show that the R^8
interaction receives a non-vanishing contribution in the one
D-instanton-anti-instanton background at leading order in the weak coupling
expansion.
| [
{
"created": "Tue, 11 Jun 2013 12:27:38 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2013 15:38:56 GMT",
"version": "v2"
},
{
"created": "Sun, 2 Feb 2014 15:05:44 GMT",
"version": "v3"
}
] | 2015-06-16 | [
[
"Basu",
"Anirban",
""
]
] | Based on the structure of the on-shell linearized superspace of type IIB supergravity, we argue that there is a non--BPS 16 derivative interaction in the effective action of type IIB string theory of the form (t_8 t_8 R^4)^2, which we call the R^8 interaction. It lies in the same supermultiplet as the G^8 R^4 interaction. Using the KLT relation, we analyse the structure of the tree level eight graviton scattering amplitude in the type IIB theory, which leads to the R^8 interaction at the linearized level. This involves an analysis of color ordered multi-gluon disc amplitudes in the type I theory, which shows an intricate pole structure and transcendentality consistent with various other interactions. Considerations of S-duality show that the R^8 interaction receives non-analytic contributions in the string coupling at one and two loops. Apart from receiving perturbative contributions, we show that the R^8 interaction receives a non-vanishing contribution in the one D-instanton-anti-instanton background at leading order in the weak coupling expansion. |
hep-th/0508029 | James Cline | James M. Cline, Horace Stoica | Multibrane Inflation and Dynamical Flattening of the Inflaton Potential | 13 pages, 15 figures; added references; added new section about
potential destabilization of compactification by multiple branes; published
version | Phys.Rev. D72 (2005) 126004 | 10.1103/PhysRevD.72.126004 | null | hep-th astro-ph hep-ph | null | We investigate the problem of fine tuning of the potential in the KKLMMT
warped flux compactification scenario for brane-antibrane inflation in Type IIB
string theory. We argue for the importance of an additional parameter psi_0
(approximated as zero by KKLMMT), namely the position of the antibrane,
relative to the equilibrium position of the brane in the absence of the
antibrane. We show that for a range of values of a particular combination of
the Kahler modulus, warp factor, and psi_0, the inflaton potential can be
sufficiently flat. We point out a novel mechanism for dynamically achieving
flatness within this part of parameter space: the presence of multiple mobile
branes can lead to a potential which initially has a metastable local minimum,
but gradually becomes flat as some of the branes tunnel out. Eventually the
local minimum disappears and the remaining branes slowly roll together, with
assisted inflation further enhancing the effective flatness of the potential.
With the addition of Kahler and superpotential corrections, this mechanism can
completely remove the fine tuning problem of brane inflation, within large
regions of parameter space. The model can be falsified if future cosmic
microwave background observations confirm the hint of a large running spectral
index.
| [
{
"created": "Thu, 4 Aug 2005 15:56:45 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Aug 2005 20:47:41 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Jan 2006 04:55:13 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Cline",
"James M.",
""
],
[
"Stoica",
"Horace",
""
]
] | We investigate the problem of fine tuning of the potential in the KKLMMT warped flux compactification scenario for brane-antibrane inflation in Type IIB string theory. We argue for the importance of an additional parameter psi_0 (approximated as zero by KKLMMT), namely the position of the antibrane, relative to the equilibrium position of the brane in the absence of the antibrane. We show that for a range of values of a particular combination of the Kahler modulus, warp factor, and psi_0, the inflaton potential can be sufficiently flat. We point out a novel mechanism for dynamically achieving flatness within this part of parameter space: the presence of multiple mobile branes can lead to a potential which initially has a metastable local minimum, but gradually becomes flat as some of the branes tunnel out. Eventually the local minimum disappears and the remaining branes slowly roll together, with assisted inflation further enhancing the effective flatness of the potential. With the addition of Kahler and superpotential corrections, this mechanism can completely remove the fine tuning problem of brane inflation, within large regions of parameter space. The model can be falsified if future cosmic microwave background observations confirm the hint of a large running spectral index. |
1204.1780 | Sung-Sik Lee | Sung-Sik Lee | Background independent holographic description : From matrix field
theory to quantum gravity | 34 pages, 4 figures; v2) sections VIII and IX added; v3) typos
corrected (to appear in JHEP) | JHEP 1210 (2012) 160 | 10.1007/JHEP10(2012)160 | null | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a local renormalization group procedure where length scale is
changed in spacetime dependent way. Combining this scheme with an earlier
observation that high energy modes in renormalization group play the role of
dynamical sources for low energy modes at each scale, we provide a prescription
to derive background independent holographic duals for field theories. From a
first principle construction, it is shown that the holographic theory dual to a
D-dimensional matrix field theory is a (D+1)-dimensional quantum theory of
gravity coupled with matter fields of various spins. The gravitational theory
has (D+1) first-class constraints which generate local spacetime
transformations in the bulk. The (D+1)-dimensional diffeomorphism invariance is
a consequence of the freedom to choose different local RG schemes.
| [
{
"created": "Mon, 9 Apr 2012 01:22:55 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2012 17:10:35 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Oct 2012 04:30:49 GMT",
"version": "v3"
}
] | 2012-11-02 | [
[
"Lee",
"Sung-Sik",
""
]
] | We propose a local renormalization group procedure where length scale is changed in spacetime dependent way. Combining this scheme with an earlier observation that high energy modes in renormalization group play the role of dynamical sources for low energy modes at each scale, we provide a prescription to derive background independent holographic duals for field theories. From a first principle construction, it is shown that the holographic theory dual to a D-dimensional matrix field theory is a (D+1)-dimensional quantum theory of gravity coupled with matter fields of various spins. The gravitational theory has (D+1) first-class constraints which generate local spacetime transformations in the bulk. The (D+1)-dimensional diffeomorphism invariance is a consequence of the freedom to choose different local RG schemes. |
hep-th/0111052 | null | I. Pappa (National Technical University of Athens) | Cosmological Evolution of a Brane Universe in a Type 0 String Background | Extended version of a poster presented at the 10th Tohwa
International Symposium on String Theory in Fukuoka, Japan, to be published
by the American Institute of Physics. 13 pages, 2 figures | null | null | NTUA-7-01 | hep-th | null | We study the cosmological evolution of a D3-brane Universe in a type 0 string
background. We follow the brane universe along the radial coordinate of the
background and we calculate the energy density which is induced on the brane
because of its motion in the bulk. For constant values of tachyon and dilaton
an inflationary phase is appearing. For non constant values of tachyon and
dilaton and for a particular range of values of the scale factor of the
brane-universe, the effective energy density is dominated by a term
proportional to $\frac{1}{(\log\alpha)^{4}}$ indicating a slowly varying
inflationary phase.
| [
{
"created": "Tue, 6 Nov 2001 19:23:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Pappa",
"I.",
"",
"National Technical University of Athens"
]
] | We study the cosmological evolution of a D3-brane Universe in a type 0 string background. We follow the brane universe along the radial coordinate of the background and we calculate the energy density which is induced on the brane because of its motion in the bulk. For constant values of tachyon and dilaton an inflationary phase is appearing. For non constant values of tachyon and dilaton and for a particular range of values of the scale factor of the brane-universe, the effective energy density is dominated by a term proportional to $\frac{1}{(\log\alpha)^{4}}$ indicating a slowly varying inflationary phase. |
1003.2421 | Dumitru Astefanesei | Dumitru Astefanesei, Maria J. Rodriguez, and Stefan Theisen | Thermodynamic instability of doubly spinning black objects | 25 pages, 7 figures v2: matches the published version | null | 10.1007/JHEP08(2010)046 | AEI-2010-039 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the thermodynamic stability of neutral black objects with (at
least) two angular momenta. We use the quasilocal formalism to compute the
grand canonical potential and show that the doubly spinning black ring is
thermodynamically unstable. We consider the thermodynamic instabilities of
ultra-spinning black objects and point out a subtle relation between the
microcanonical and grand canonical ensembles. We also find the location of the
black string/membrane phases of doubly spinning black objects.
| [
{
"created": "Thu, 11 Mar 2010 21:02:55 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2011 16:03:05 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Astefanesei",
"Dumitru",
""
],
[
"Rodriguez",
"Maria J.",
""
],
[
"Theisen",
"Stefan",
""
]
] | We investigate the thermodynamic stability of neutral black objects with (at least) two angular momenta. We use the quasilocal formalism to compute the grand canonical potential and show that the doubly spinning black ring is thermodynamically unstable. We consider the thermodynamic instabilities of ultra-spinning black objects and point out a subtle relation between the microcanonical and grand canonical ensembles. We also find the location of the black string/membrane phases of doubly spinning black objects. |
0911.0962 | Tatsuma Nishioka | Tatsuma Nishioka, Shinsei Ryu and Tadashi Takayanagi | Holographic Superconductor/Insulator Transition at Zero Temperature | 25 pages, 23 figures; A new subsection on a concrete string theory
embedding added, references added (v2); Typos corrected, references added
(v3) | JHEP 1003:131,2010 | 10.1007/JHEP03(2010)131 | IPMU09-0134, KUNS-2239 | hep-th cond-mat.str-el gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the five-dimensional AdS gravity coupled to a gauge field and a
charged scalar field. Under a Scherk-Schwarz compactification, we show that the
system undergoes a superconductor/insulator transition at zero temperature in
2+1 dimensions as we change the chemical potential. By taking into account a
confinement/deconfinement transition, the phase diagram turns out to have a
rich structure. We will observe that it has a similarity with the RVB
(resonating valence bond) approach to high-Tc superconductors via an emergent
gauge symmetry.
| [
{
"created": "Thu, 5 Nov 2009 05:59:51 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 2009 06:04:41 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Jan 2010 10:06:51 GMT",
"version": "v3"
}
] | 2010-04-08 | [
[
"Nishioka",
"Tatsuma",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Takayanagi",
"Tadashi",
""
]
] | We analyze the five-dimensional AdS gravity coupled to a gauge field and a charged scalar field. Under a Scherk-Schwarz compactification, we show that the system undergoes a superconductor/insulator transition at zero temperature in 2+1 dimensions as we change the chemical potential. By taking into account a confinement/deconfinement transition, the phase diagram turns out to have a rich structure. We will observe that it has a similarity with the RVB (resonating valence bond) approach to high-Tc superconductors via an emergent gauge symmetry. |
hep-th/0410010 | Corneliu Sochichiu | Stefano Bellucci and Corneliu Sochichiu | On matrix models for anomalous dimensions of super Yang-Mills theory | 24 pages, major changes in most of the paper, conclusions affected | Nucl.Phys. B726 (2005) 233-251 | 10.1016/j.nuclphysb.2005.07.026 | null | hep-th | null | We consider the matrix model approach to the anomalous dimension matrix in
$\mathcal{N}=4$ super Yang--Mills theory. We construct the path integral
representation for the anomalous dimension density matrix and analyze the
resulting action. In particular, we consider the large $N$ limit, which results
in a classical field theory. Since the same limit leads to spin chains, we
propose to consider the former as an alternative description of the latter. We
consider also the limit of small $N$, which corresponds to the restriction to
the diagrams of maximal topological genus.
| [
{
"created": "Fri, 1 Oct 2004 13:39:26 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2004 12:46:24 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Oct 2004 09:57:30 GMT",
"version": "v3"
},
{
"created": "Thu, 17 Feb 2005 09:16:51 GMT",
"version": "v4"
},
{
"cre... | 2009-11-10 | [
[
"Bellucci",
"Stefano",
""
],
[
"Sochichiu",
"Corneliu",
""
]
] | We consider the matrix model approach to the anomalous dimension matrix in $\mathcal{N}=4$ super Yang--Mills theory. We construct the path integral representation for the anomalous dimension density matrix and analyze the resulting action. In particular, we consider the large $N$ limit, which results in a classical field theory. Since the same limit leads to spin chains, we propose to consider the former as an alternative description of the latter. We consider also the limit of small $N$, which corresponds to the restriction to the diagrams of maximal topological genus. |
hep-th/0101107 | Daniel Franco | Daniel H.T. Franco | A Note on Superdistributions and Wavefront Set | Version to appear in International Journal of Theoretical Physics | Int.J.Theor.Phys.46:207-220,2007 | 10.1007/s10773-006-9229-6 | ICEN-PS-01/02 | hep-th | null | We present a simple and new method of constructing superdistributions on
superspace over a Grassmann-Banach algebra, which close to the de Rham's
``currents'' defined as dual objects to differential forms. The paper also
contains the extension of the H\"ormander's description of the singularity
structure (wavefront set) of a distribution to include the supersymmetric case.
| [
{
"created": "Tue, 16 Jan 2001 17:46:07 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2003 20:43:40 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Aug 2006 17:59:39 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Franco",
"Daniel H. T.",
""
]
] | We present a simple and new method of constructing superdistributions on superspace over a Grassmann-Banach algebra, which close to the de Rham's ``currents'' defined as dual objects to differential forms. The paper also contains the extension of the H\"ormander's description of the singularity structure (wavefront set) of a distribution to include the supersymmetric case. |
2011.14323 | Josef Kluson | J. Kluson | D-Brane Actions in Non-Relativistic String Theory and T-Duality | 14 pages | Phys. Rev. D 104, 086009 (2021) | 10.1103/PhysRevD.104.086009 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | We study D-brane actions in non-relativistic string theory. We consider
single D-brane and analyse its properties under T-duality. We also derive an
action for N D8-branes and also for lower dimensional D-branes through
T-duality transformations.
| [
{
"created": "Sun, 29 Nov 2020 09:37:42 GMT",
"version": "v1"
}
] | 2021-10-13 | [
[
"Kluson",
"J.",
""
]
] | We study D-brane actions in non-relativistic string theory. We consider single D-brane and analyse its properties under T-duality. We also derive an action for N D8-branes and also for lower dimensional D-branes through T-duality transformations. |
hep-th/9209004 | Guido Haak | G. Haak | Group Theoretical Symmetries and Generalized Baecklund Transformations
for Integrable Systems | 17 pages (LaTeX) | J.Math.Phys. 35 (1994) 2378-2389 | 10.1063/1.530508 | null | hep-th | null | We present a notion of symmetry for 1+1-dimensional integrable systems which
is consistent with their group theoretic description and reproduces in special
cases the known Baecklund transformation for the generalized Korteweg-deVries
hierarchies. We also apply it to the relativistic invariance of the
Leznov-Saveliev systems.
| [
{
"created": "Tue, 1 Sep 1992 13:25:09 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Haak",
"G.",
""
]
] | We present a notion of symmetry for 1+1-dimensional integrable systems which is consistent with their group theoretic description and reproduces in special cases the known Baecklund transformation for the generalized Korteweg-deVries hierarchies. We also apply it to the relativistic invariance of the Leznov-Saveliev systems. |
1203.6637 | Andrea Quadri | Daniele Binosi, Andrea Quadri | The Background Field Method as a Canonical Transformation | 11 pages, REVTeX. References added, some explanations extended. Final
version to appear in the journal | null | 10.1103/PhysRevD.85.121702 | null | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct explicitly the canonical transformation that controls the full
dependence (local and non-local) of the vertex functional of a Yang-Mills
theory on a background field. After showing that the canonical transformation
found is nothing but a direct field-theoretic generalization of the Lie
transform of classical analytical mechanics, we comment on a number of possible
applications, and in particular the non perturbative implementation of the
background field method on the lattice, the background field formulation of the
two particle irreducible formalism, and, finally, the formulation of the
Schwinger-Dyson series in the presence of topologically non-trivial
configurations.
| [
{
"created": "Thu, 29 Mar 2012 19:22:23 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2012 10:49:35 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Binosi",
"Daniele",
""
],
[
"Quadri",
"Andrea",
""
]
] | We construct explicitly the canonical transformation that controls the full dependence (local and non-local) of the vertex functional of a Yang-Mills theory on a background field. After showing that the canonical transformation found is nothing but a direct field-theoretic generalization of the Lie transform of classical analytical mechanics, we comment on a number of possible applications, and in particular the non perturbative implementation of the background field method on the lattice, the background field formulation of the two particle irreducible formalism, and, finally, the formulation of the Schwinger-Dyson series in the presence of topologically non-trivial configurations. |
hep-th/9809183 | Maxim Chernodub | M.N. Chernodub and D.A. Komarov | String representation of SU(3) gluodynamics in the abelian projection | 9 pages, LaTeX, 1 figure, epsf.sty needed | JETP Lett. 68 (1998) 117-123 | 10.1134/1.567832 | ITEP-TH-52/98 | hep-th hep-lat hep-ph | null | A dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in abelian
projection is studied. A string theory describing QCD string dynamics is
obtained in this model. The interaction of static quarks in mesons and baryons
is investigated in an approximation to leading order.
| [
{
"created": "Fri, 25 Sep 1998 13:05:07 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Chernodub",
"M. N.",
""
],
[
"Komarov",
"D. A.",
""
]
] | A dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in abelian projection is studied. A string theory describing QCD string dynamics is obtained in this model. The interaction of static quarks in mesons and baryons is investigated in an approximation to leading order. |
hep-th/0609167 | M. Tierz | Yacine Dolivet, Miguel Tierz | Chern-Simons matrix models and Stieltjes-Wigert polynomials | 25 pages, AMS-LaTex | J.Math.Phys.48:023507,2007 | 10.1063/1.2436734 | LPTENS-06/44 | hep-th math-ph math.MP | null | Employing the random matrix formulation of Chern-Simons theory on Seifert
manifolds, we show how the Stieltjes-Wigert orthogonal polynomials are useful
in exact computations in Chern-Simons matrix models. We construct a
biorthogonal extension of the Stieltjes-Wigert polynomials, not available in
the literature, necessary to study Chern-Simons matrix models when the geometry
is a lens space. We also discuss several other results based on the properties
of the polynomials: the equivalence between the Stieltjes-Wigert matrix model
and the discrete model that appears in q-2D Yang-Mills and the relationship
with Rogers-Szego polynomials and the corresponding equivalence with an unitary
matrix model. Finally, we also give a detailed proof of a result that relates
quantum dimensions with averages of Schur polynomials in the Stieltjes-Wigert
ensemble.
| [
{
"created": "Mon, 25 Sep 2006 15:53:43 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dolivet",
"Yacine",
""
],
[
"Tierz",
"Miguel",
""
]
] | Employing the random matrix formulation of Chern-Simons theory on Seifert manifolds, we show how the Stieltjes-Wigert orthogonal polynomials are useful in exact computations in Chern-Simons matrix models. We construct a biorthogonal extension of the Stieltjes-Wigert polynomials, not available in the literature, necessary to study Chern-Simons matrix models when the geometry is a lens space. We also discuss several other results based on the properties of the polynomials: the equivalence between the Stieltjes-Wigert matrix model and the discrete model that appears in q-2D Yang-Mills and the relationship with Rogers-Szego polynomials and the corresponding equivalence with an unitary matrix model. Finally, we also give a detailed proof of a result that relates quantum dimensions with averages of Schur polynomials in the Stieltjes-Wigert ensemble. |
2306.06959 | Roberto Maluf | M. C. Ara\'ujo, J. Furtado, R. V. Maluf | Lorentz-violating extension of scalar QED at finite temperature | 7 pages, 2 figures, matches published version in PLB | Phys. Lett. B, (2023), 138064 | 10.1016/j.physletb.2023.138064 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work, we calculate the one-loop self-energy corrections to the gauge
field in scalar electrodynamics modified by Lorentz-violating terms within the
framework of the standard model extension (SME). We focus on both $CPT$-even
and $CPT$-odd contributions. The kinetic part of the scalar sector contains a
$CPT$-even symmetric Lorentz-breaking tensor, and the interaction terms include
a vector contracted with the usual covariant derivative in a gauge-invariant
manner. We computed the one-loop radiative corrections using dimensional
regularization for both the $CPT$-even and $CPT$-odd cases. Additionally, we
employed the Matsubara formalism to account for finite temperature effects.
| [
{
"created": "Mon, 12 Jun 2023 08:45:14 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Jul 2023 08:38:23 GMT",
"version": "v2"
}
] | 2023-07-11 | [
[
"Araújo",
"M. C.",
""
],
[
"Furtado",
"J.",
""
],
[
"Maluf",
"R. V.",
""
]
] | In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standard model extension (SME). We focus on both $CPT$-even and $CPT$-odd contributions. The kinetic part of the scalar sector contains a $CPT$-even symmetric Lorentz-breaking tensor, and the interaction terms include a vector contracted with the usual covariant derivative in a gauge-invariant manner. We computed the one-loop radiative corrections using dimensional regularization for both the $CPT$-even and $CPT$-odd cases. Additionally, we employed the Matsubara formalism to account for finite temperature effects. |
hep-th/9603113 | Ashoke Sen | Ashoke Sen | Orbifolds of M-Theory and String Theory | LaTeX file, 10 pages | Mod.Phys.Lett.A11:1339-1348,1996 | 10.1142/S021773239600134X | MRI-PHY/96-10 | hep-th | null | It is shown that many of the conjectured dualities involving orbifold
compactification of M-theory follow from the known dualities involving M-theory
and string theory in ten dimensions, and the ansatz that orbifolding procedure
commutes with the duality transformation. This ansatz also leads to a new
duality conjecture, namely that M-theory compactified on $T^8/Z_2$ is dual to
type I string theory on $T^7$. In this case the `twisted sector states' in
M-theory live on sixteen membranes transverse to the internal manifold.
| [
{
"created": "Sun, 17 Mar 1996 14:29:44 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
]
] | It is shown that many of the conjectured dualities involving orbifold compactification of M-theory follow from the known dualities involving M-theory and string theory in ten dimensions, and the ansatz that orbifolding procedure commutes with the duality transformation. This ansatz also leads to a new duality conjecture, namely that M-theory compactified on $T^8/Z_2$ is dual to type I string theory on $T^7$. In this case the `twisted sector states' in M-theory live on sixteen membranes transverse to the internal manifold. |
1704.04638 | Seyed Kamran Moayedi | Seyed Kamran Moayedi and Mansoureh Shafabakhsh | Parallel-plate and spherical capacitors in Born-Infeld electrostatics:
An analytical study | 12 pages, 2 figures | Eur. Phys. J. Plus (2016) 131: 55 | 10.1140/epjp/i2016-16055-1 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In 1934, Max Born and Leopold Infeld suggested and developed a nonlinear
modification of Maxwell electrodynamics, in which the electrostatic self-energy
of an electron was a finite value. In this paper, after a brief introduction to
Lagrangian formulation of Born-Infeld electrodynamics with an external source,
the explicit forms of Gauss's law and the electrostatic energy density in
Born-Infeld theory are obtained. The capacitance and the stored electrostatic
energy for a parallel-plate and spherical capacitors are computed in the
framework of Born-Infeld electrostatics. We show that the usual relations
$U=\frac{1}{2}C_{_{\textrm{Maxwell}}}(\triangle \phi)^{2}$ and
$U=\frac{q^{2}}{2C_{_{\textrm{Maxwell}}}}$ are not valid for a capacitor in
Born-Infeld electrostatics. Numerical estimations in this research show that
the nonlinear corrections to the capacitance and the stored electrostatic
energy for a capacitor in Born-Infeld electrostatics are considerable when the
potential difference between the plates of a capacitor is very large.
| [
{
"created": "Sat, 15 Apr 2017 13:20:12 GMT",
"version": "v1"
}
] | 2017-04-18 | [
[
"Moayedi",
"Seyed Kamran",
""
],
[
"Shafabakhsh",
"Mansoureh",
""
]
] | In 1934, Max Born and Leopold Infeld suggested and developed a nonlinear modification of Maxwell electrodynamics, in which the electrostatic self-energy of an electron was a finite value. In this paper, after a brief introduction to Lagrangian formulation of Born-Infeld electrodynamics with an external source, the explicit forms of Gauss's law and the electrostatic energy density in Born-Infeld theory are obtained. The capacitance and the stored electrostatic energy for a parallel-plate and spherical capacitors are computed in the framework of Born-Infeld electrostatics. We show that the usual relations $U=\frac{1}{2}C_{_{\textrm{Maxwell}}}(\triangle \phi)^{2}$ and $U=\frac{q^{2}}{2C_{_{\textrm{Maxwell}}}}$ are not valid for a capacitor in Born-Infeld electrostatics. Numerical estimations in this research show that the nonlinear corrections to the capacitance and the stored electrostatic energy for a capacitor in Born-Infeld electrostatics are considerable when the potential difference between the plates of a capacitor is very large. |
hep-th/0204015 | Rudra Prakash Malik | R. P. Malik (Bose National Centre, Calcutta) | Superfield approach to topological features of non-Abelian gauge theory | 16 pages, LaTeX | J.Phys.A35:8817-8830,2002 | 10.1088/0305-4470/35/41/313 | null | hep-th | null | We discuss some of the key topological aspects of a two $(1+1)$-dimensional
(2D) self-interacting non-Abelian gauge theory (having no interaction with
matter fields) in the framework of {\it chiral} superfield formalism. We
provide the geometrical interpretation for the Lagrangian density, symmetric
energy momentum tensor, topological invariants, etc., by exploiting the {\it
on-shell} nilpotent BRST- and co-BRST symmetries that emerge after the
application of (dual) horizontality conditions. We show that the above
physically interesting quantities geometrically correspond to the translation
of some local (but composite) {\it chiral} superfields along one of the two
independent Grassmannian directions of a four ($2+2)$-dimensional
supermanifold. This translation is generated by the conserved and on-shell
nilpotent (co-)BRST charges that are present in the theory.
| [
{
"created": "Tue, 2 Apr 2002 11:35:29 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2002 06:37:14 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Apr 2002 16:19:05 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Jul 2002 17:24:23 GMT",
"version": "v4"
},
{
"cre... | 2008-11-26 | [
[
"Malik",
"R. P.",
"",
"Bose National Centre, Calcutta"
]
] | We discuss some of the key topological aspects of a two $(1+1)$-dimensional (2D) self-interacting non-Abelian gauge theory (having no interaction with matter fields) in the framework of {\it chiral} superfield formalism. We provide the geometrical interpretation for the Lagrangian density, symmetric energy momentum tensor, topological invariants, etc., by exploiting the {\it on-shell} nilpotent BRST- and co-BRST symmetries that emerge after the application of (dual) horizontality conditions. We show that the above physically interesting quantities geometrically correspond to the translation of some local (but composite) {\it chiral} superfields along one of the two independent Grassmannian directions of a four ($2+2)$-dimensional supermanifold. This translation is generated by the conserved and on-shell nilpotent (co-)BRST charges that are present in the theory. |
1412.3466 | Joanna L. Karczmarek | Joanna L. Karczmarek and Matheson Longton | Renormalization schemes for SFT solutions | 41 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we examine the space of renormalization schemes compatible
with the Kiermaier and Okawa [arXiv:0707.4472] framework for constructing Open
String Field Theory solutions based on marginal operators with singular
self-OPEs. We show that, due to freedom in defining the renormalization scheme
which tames these singular OPEs, the solutions obtained from the KO framework
are not necessarily unique. We identify a multidimensional space of SFT
solutions corresponding to a single given marginal operator.
| [
{
"created": "Wed, 10 Dec 2014 21:01:25 GMT",
"version": "v1"
}
] | 2014-12-12 | [
[
"Karczmarek",
"Joanna L.",
""
],
[
"Longton",
"Matheson",
""
]
] | In this paper, we examine the space of renormalization schemes compatible with the Kiermaier and Okawa [arXiv:0707.4472] framework for constructing Open String Field Theory solutions based on marginal operators with singular self-OPEs. We show that, due to freedom in defining the renormalization scheme which tames these singular OPEs, the solutions obtained from the KO framework are not necessarily unique. We identify a multidimensional space of SFT solutions corresponding to a single given marginal operator. |
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