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/0410021 | Lance Dixon | Z. Bern, L.J. Dixon and D.A. Kosower | N=4 Super-Yang-Mills Theory, QCD and Collider Physics | 17 pages, 9 figures. Talk presented by LD at Strings 2004 | Comptes Rendus Physique 5:955-964,2004 | 10.1016/j.crhy.2004.09.007 | SLAC-PUB-10739, IPPP/04/59, DCPT/04/118, UCLA/04/TEP/40,
Saclay/SPhT-T04/116 | hep-th | null | We review how (dimensionally regulated) scattering amplitudes in N=4
super-Yang-Mills theory provide a useful testing ground for perturbative QCD
calculations relevant to collider physics, as well as another avenue for
investigating the AdS/CFT correspondence. We describe the iterative relation
for two-loop scattering amplitudes in N=4 super-Yang-Mills theory found in C.
Anastasiou et al., Phys. Rev. Lett. 91:251602 (2003), and discuss recent
progress toward extending it to three loops.
| [
{
"created": "Sat, 2 Oct 2004 18:15:18 GMT",
"version": "v1"
}
] | 2010-11-15 | [
[
"Bern",
"Z.",
""
],
[
"Dixon",
"L. J.",
""
],
[
"Kosower",
"D. A.",
""
]
] | We review how (dimensionally regulated) scattering amplitudes in N=4 super-Yang-Mills theory provide a useful testing ground for perturbative QCD calculations relevant to collider physics, as well as another avenue for investigating the AdS/CFT correspondence. We describe the iterative relation for two-loop scattering amplitudes in N=4 super-Yang-Mills theory found in C. Anastasiou et al., Phys. Rev. Lett. 91:251602 (2003), and discuss recent progress toward extending it to three loops. |
1807.10284 | Rakibur Rahman | Talal Ahmed Chowdhury, Rakibur Rahman and Zulfiqar Ali Sabuj | Gravitational Properties of the Proca Field | 23 pages, revised positivity-bound analysis, references added | null | 10.1016/j.nuclphysb.2018.09.009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various properties of a Proca field coupled to gravity through
minimal and quadrupole interactions, described by a two-parameter family of
Lagrangians. St\"uckelberg decomposition of the effective theory spells out its
model-dependent ultraviolet cutoff, parametrically larger than the Proca mass.
We present pp-wave solutions that the model admits, consider linear
fluctuations on such backgrounds, and thereby constrain the parameter space of
the theory by requiring null-energy condition and the absence of negative time
delays in high-energy scattering. We briefly discuss the positivity
constraints$-$derived from unitarity and analyticity of scattering
amplitudes$-$that become ineffective in this regard.
| [
{
"created": "Thu, 26 Jul 2018 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Aug 2018 12:20:09 GMT",
"version": "v2"
}
] | 2018-10-17 | [
[
"Chowdhury",
"Talal Ahmed",
""
],
[
"Rahman",
"Rakibur",
""
],
[
"Sabuj",
"Zulfiqar Ali",
""
]
] | We study various properties of a Proca field coupled to gravity through minimal and quadrupole interactions, described by a two-parameter family of Lagrangians. St\"uckelberg decomposition of the effective theory spells out its model-dependent ultraviolet cutoff, parametrically larger than the Proca mass. We present pp-wave solutions that the model admits, consider linear fluctuations on such backgrounds, and thereby constrain the parameter space of the theory by requiring null-energy condition and the absence of negative time delays in high-energy scattering. We briefly discuss the positivity constraints$-$derived from unitarity and analyticity of scattering amplitudes$-$that become ineffective in this regard. |
hep-th/0202089 | Vladimir Nesterenko | V.V. Nesterenko, G. Lambiase, and G. Scarpetta | Casimir effect for a perfectly conducting wedge in terms of local zeta
function | 20 pages, REVTeX, no figures, no tables | Annals Phys. 298 (2002) 403-420 | 10.1006/aphy.2002.6261 | null | hep-th | null | The vacuum energy density of electromagnetic field inside a perfectly
conducting wedge is calculated by making use of the local zeta function
technique. This regularization completely eliminates divergent expressions in
the course of calculations and gives rise to a finite expression for the energy
density in question without any subtractions. Employment of the Hertz
potentials for constructing the general solution to the Maxwell equations
results in a considerable simplification of the calculations. Transition to the
global zeta function is carried out by introducing a cutoff nearby the cusp at
the origin. Proceeding from this the heat kernel coefficients are calculated
and the high temperature asymptotics of the Helmholtz free energy and of the
torque of the Casimir forces are found. The wedge singularity gives rise to a
specific high temperature behaviour $\sim T^2$ of the quantities under
consideration. The obtained results are directly applicable to the free energy
of a scalar massless field and electromagnetic field on the background of a
cosmic string.
| [
{
"created": "Thu, 14 Feb 2002 18:27:18 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Nesterenko",
"V. V.",
""
],
[
"Lambiase",
"G.",
""
],
[
"Scarpetta",
"G.",
""
]
] | The vacuum energy density of electromagnetic field inside a perfectly conducting wedge is calculated by making use of the local zeta function technique. This regularization completely eliminates divergent expressions in the course of calculations and gives rise to a finite expression for the energy density in question without any subtractions. Employment of the Hertz potentials for constructing the general solution to the Maxwell equations results in a considerable simplification of the calculations. Transition to the global zeta function is carried out by introducing a cutoff nearby the cusp at the origin. Proceeding from this the heat kernel coefficients are calculated and the high temperature asymptotics of the Helmholtz free energy and of the torque of the Casimir forces are found. The wedge singularity gives rise to a specific high temperature behaviour $\sim T^2$ of the quantities under consideration. The obtained results are directly applicable to the free energy of a scalar massless field and electromagnetic field on the background of a cosmic string. |
1705.03052 | Alberto Molgado | J. Madrigal-Melchor, Jairo Mart\'inez--Montoya, Alberto Molgado and J.
R. Su\'arez-L\'opez | Unruh effect detection through chirality in curved graphene | 12 pages, no figures | Eur. Phys. J. Plus (2017) 132: 523 | 10.1140/epjp/i2017-11782-3 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze a generalization of the analogue Unruh effect based on curved
graphene. To this end, we consider the fourth order in derivatives field
theoretic version of the Pais-Uhlenbeck oscillator, for which the Unruh effect
may be interpreted as the creation of two different particles with different
masses, corresponding to two Klein-Gordon subsystems. For our model, unlike the
standard case, electron chirality on the graphene sheet plays a main role as
chirality is essential to distinguish the couple of particles predicted by the
Unruh effect associated to the Pais-Uhlenbeck field model.
| [
{
"created": "Mon, 8 May 2017 19:11:42 GMT",
"version": "v1"
}
] | 2019-03-07 | [
[
"Madrigal-Melchor",
"J.",
""
],
[
"Martínez--Montoya",
"Jairo",
""
],
[
"Molgado",
"Alberto",
""
],
[
"Suárez-López",
"J. R.",
""
]
] | We analyze a generalization of the analogue Unruh effect based on curved graphene. To this end, we consider the fourth order in derivatives field theoretic version of the Pais-Uhlenbeck oscillator, for which the Unruh effect may be interpreted as the creation of two different particles with different masses, corresponding to two Klein-Gordon subsystems. For our model, unlike the standard case, electron chirality on the graphene sheet plays a main role as chirality is essential to distinguish the couple of particles predicted by the Unruh effect associated to the Pais-Uhlenbeck field model. |
2001.07259 | Sever Amit | Andrea Cavaglia, David Grabner, Nikolay Gromov and Amit Sever | Colour-Twist Operators I: Spectrum and Wave Functions | 66 pages, 20 figures | null | 10.1007/JHEP06(2020)092 | CERN-TH-2020-012 | hep-th | http://creativecommons.org/licenses/by/4.0/ | We introduce a new class of operators in any theory with a 't Hooft large-$N$
limit that we call colour-twist operators. They are defined by twisting the
colour-trace with a global symmetry transformation and are continuously linked
to standard, un-twisted single-trace operators. In particular, correlation
functions between operators that are twisted by an R-symmetry of ${\cal N}=4$
SYM extend those in the $\gamma$-deformed theory. The most general deformation
also breaks the Lorentz symmetry but preserves integrability in the examples we
consider. In this paper, we focus on colour-twist operators in the fishnet
model. We exemplify our approach for the simplest colour-twist operators with
one and two scalar fields, which we study non-perturbatively using
field-theoretical as well as integrability methods, finding a perfect match. We
also propose the quantisation condition for the Baxter equation appearing in
the integrability calculation in the fishnet model. The results of this paper
constitute a crucial step towards building the separation of variable
construction for the correlation functions by means of the Quantum Spectral
Curve approach.
| [
{
"created": "Mon, 20 Jan 2020 21:27:28 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Cavaglia",
"Andrea",
""
],
[
"Grabner",
"David",
""
],
[
"Gromov",
"Nikolay",
""
],
[
"Sever",
"Amit",
""
]
] | We introduce a new class of operators in any theory with a 't Hooft large-$N$ limit that we call colour-twist operators. They are defined by twisting the colour-trace with a global symmetry transformation and are continuously linked to standard, un-twisted single-trace operators. In particular, correlation functions between operators that are twisted by an R-symmetry of ${\cal N}=4$ SYM extend those in the $\gamma$-deformed theory. The most general deformation also breaks the Lorentz symmetry but preserves integrability in the examples we consider. In this paper, we focus on colour-twist operators in the fishnet model. We exemplify our approach for the simplest colour-twist operators with one and two scalar fields, which we study non-perturbatively using field-theoretical as well as integrability methods, finding a perfect match. We also propose the quantisation condition for the Baxter equation appearing in the integrability calculation in the fishnet model. The results of this paper constitute a crucial step towards building the separation of variable construction for the correlation functions by means of the Quantum Spectral Curve approach. |
1304.6539 | George Papadopoulos | U. Gran, J. Gutowski and G. Papadopoulos | IIB horizons | 27 pages | null | 10.1088/0264-9381/30/20/205004 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the Killing spinor equations for all near-horizon IIB geometries
which preserve at least one supersymmetry. We show that generic horizon
sections are 8-dimensional almost Hermitian spin${}_c$ manifolds. Special cases
include horizon sections with a $Spin(7)$ structure and those for which the
Killing spinor is pure. We also explain how the common sector horizons and the
horizons with only 5-form flux are included in our general analysis. We
investigate several special cases mainly focusing on the horizons with constant
scalars admitting a pure Killing spinor and find that some of these exhibit a
generalization of the 2-SCYT condition that arises in the horizons with 5-form
fluxes only. We use this to construct new examples of near-horizon geometries
with both 3-form and 5-form fluxes.
| [
{
"created": "Wed, 24 Apr 2013 10:24:57 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We solve the Killing spinor equations for all near-horizon IIB geometries which preserve at least one supersymmetry. We show that generic horizon sections are 8-dimensional almost Hermitian spin${}_c$ manifolds. Special cases include horizon sections with a $Spin(7)$ structure and those for which the Killing spinor is pure. We also explain how the common sector horizons and the horizons with only 5-form flux are included in our general analysis. We investigate several special cases mainly focusing on the horizons with constant scalars admitting a pure Killing spinor and find that some of these exhibit a generalization of the 2-SCYT condition that arises in the horizons with 5-form fluxes only. We use this to construct new examples of near-horizon geometries with both 3-form and 5-form fluxes. |
hep-th/0001021 | Robert L. Karp | Zalan Horvath, Robert L. Karp, Laszlo Palla | A Two-loop Test of Buscher's T-duality I | 28 pp, Latex, references added | Phys.Rev. D62 (2000) 045005 | 10.1103/PhysRevD.62.045005 | null | hep-th | null | We study the two loop quantum equivalence of sigma models related by
Buscher's T-duality transformation. The computation of the two loop
perturbative free energy density is performed in the case of a certain
deformation of the SU(2) principal sigma model, and its T-dual, using
dimensional regularization and the geometric sigma model perturbation theory.
We obtain agreement between the free energy density expressions of the two
models.
| [
{
"created": "Wed, 5 Jan 2000 22:57:41 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Jan 2000 23:53:42 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Apr 2000 22:19:15 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Horvath",
"Zalan",
""
],
[
"Karp",
"Robert L.",
""
],
[
"Palla",
"Laszlo",
""
]
] | We study the two loop quantum equivalence of sigma models related by Buscher's T-duality transformation. The computation of the two loop perturbative free energy density is performed in the case of a certain deformation of the SU(2) principal sigma model, and its T-dual, using dimensional regularization and the geometric sigma model perturbation theory. We obtain agreement between the free energy density expressions of the two models. |
hep-th/0605046 | David Mateos | David Mateos, Robert C. Myers, and Rowan M. Thomson | Holographic Phase Transitions with Fundamental Matter | 6 pages, 7 figures, RevTeX4; v2: minor changes, reference added | Phys.Rev.Lett.97:091601,2006 | 10.1103/PhysRevLett.97.091601 | null | hep-th hep-ph | null | The holographic dual of a finite-temperature gauge theory with a small number
of flavours typically contains D-brane probes in a black hole background. At
low temperature the branes sit outside the black hole and the meson spectrum is
discrete and possesses a mass gap. As the temperature increases the branes
approach a critical solution. Eventually they fall into the horizon and a phase
transition occurs. In the new phase the meson spectrum is continuous and
gapless. At large N and large 't Hooft coupling, this phase transition is
always of first order, and in confining theories with heavy quarks it occurs at
a temperature higher than the deconfinement temperature for the glue.
| [
{
"created": "Thu, 4 May 2006 02:23:20 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Aug 2006 19:35:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Mateos",
"David",
""
],
[
"Myers",
"Robert C.",
""
],
[
"Thomson",
"Rowan M.",
""
]
] | The holographic dual of a finite-temperature gauge theory with a small number of flavours typically contains D-brane probes in a black hole background. At low temperature the branes sit outside the black hole and the meson spectrum is discrete and possesses a mass gap. As the temperature increases the branes approach a critical solution. Eventually they fall into the horizon and a phase transition occurs. In the new phase the meson spectrum is continuous and gapless. At large N and large 't Hooft coupling, this phase transition is always of first order, and in confining theories with heavy quarks it occurs at a temperature higher than the deconfinement temperature for the glue. |
1103.2833 | Haiqing Zhang | Huai-Fan Li, Rong-Gen Cai and Hai-Qing Zhang | Analytical Studies on Holographic Superconductors in Gauss-Bonnet
Gravity | 16pp, no figures;Some minor changes and references added | Journal of High Energy Physics, Volume 2011, Number 4, 28 | 10.1007/JHEP04(2011)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the variational method for the Sturm-Liouville eigenvalue problem to
analytically calculate some properties of holographic superconductors with
Gauss-Bonnet gravity in probe limit. By studying the holographic p-wave and
s-wave superconductors in (3+1)-dimensional boundary field theories, it is
found that near the critical temperature, the critical exponent of the
condensation is 1/2 which is the universal value in mean-field theory. We also
find that when Gauss-Bonnet coefficients grow bigger the operators on the
boundary field theory will be harder to condense. These are in good agreement
with the numerical results.
| [
{
"created": "Tue, 15 Mar 2011 03:00:53 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Mar 2011 02:01:27 GMT",
"version": "v2"
}
] | 2011-04-14 | [
[
"Li",
"Huai-Fan",
""
],
[
"Cai",
"Rong-Gen",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | We use the variational method for the Sturm-Liouville eigenvalue problem to analytically calculate some properties of holographic superconductors with Gauss-Bonnet gravity in probe limit. By studying the holographic p-wave and s-wave superconductors in (3+1)-dimensional boundary field theories, it is found that near the critical temperature, the critical exponent of the condensation is 1/2 which is the universal value in mean-field theory. We also find that when Gauss-Bonnet coefficients grow bigger the operators on the boundary field theory will be harder to condense. These are in good agreement with the numerical results. |
hep-th/9401094 | Naoki Sasakura | Naoki Sasakura | Discrete Phase Transitions Associated to Topological Lattice Field
Theories in Dimension $D\ge 2$ | 40 pages, UT-668, (A mathematically incorrect statement and related
statements have been corrected.) | Phys.Rev. D51 (1995) 703-717 | 10.1103/PhysRevD.51.703 | null | hep-th gr-qc hep-lat | null | We investigate the neighborhood of Topological Lattice Field Theories (TLFTs)
in the parameter space of general lattice field theories in dimension $D\geq
2$, and discuss the phase structures associated to them. We first define a
volume-dependent TLFT, and discuss its decomposition to a direct sum of
irreducible TLFTs, which cannot be decomposed anymore. Using this decomposed
form, we discuss phase structures and renormalization group flows of
volume-dependent TLFTs. We find that TLFTs are on multiple first order phase
transition points as well as on fixed points of the flow. The phase structures
are controlled by the physical states on $(D-1)$-sphere of TLFTs. The flow
agrees with the Nienhuis-Nauenberg criterion. We also discuss the neighborhood
of a TLFT in general directions by a perturbative method, so-called cluster
expansion. We investigate especially the $Z_p$ analogue of the Turaev-Viro
model, and find that the TLFT is in general on a higher order discrete phase
transition point. The phase structures depend on the topology of the base
manifold and are controlled by the physical states on topologically non-trivial
surfaces. We also discuss the correlation lengths of local fluctuations, and
find long-range modes propagating along topological defects. Thus various
discrete phase transitions are associated to TLFTs.
| [
{
"created": "Thu, 20 Jan 1994 01:55:08 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 1994 12:54:56 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Sasakura",
"Naoki",
""
]
] | We investigate the neighborhood of Topological Lattice Field Theories (TLFTs) in the parameter space of general lattice field theories in dimension $D\geq 2$, and discuss the phase structures associated to them. We first define a volume-dependent TLFT, and discuss its decomposition to a direct sum of irreducible TLFTs, which cannot be decomposed anymore. Using this decomposed form, we discuss phase structures and renormalization group flows of volume-dependent TLFTs. We find that TLFTs are on multiple first order phase transition points as well as on fixed points of the flow. The phase structures are controlled by the physical states on $(D-1)$-sphere of TLFTs. The flow agrees with the Nienhuis-Nauenberg criterion. We also discuss the neighborhood of a TLFT in general directions by a perturbative method, so-called cluster expansion. We investigate especially the $Z_p$ analogue of the Turaev-Viro model, and find that the TLFT is in general on a higher order discrete phase transition point. The phase structures depend on the topology of the base manifold and are controlled by the physical states on topologically non-trivial surfaces. We also discuss the correlation lengths of local fluctuations, and find long-range modes propagating along topological defects. Thus various discrete phase transitions are associated to TLFTs. |
hep-th/0001201 | Washington Taylor | Washington Taylor (MIT) | D-brane effective field theory from string field theory | 23 pages, 4 figures, LaTeX; v3: sign error corrected, references
added, discussion of bosonic NBI extended. v4: bug in N coefficient table
fixed; qualitative results unchanged | Nucl.Phys. B585 (2000) 171-192 | 10.1016/S0550-3213(00)00338-2 | MIT-CTP-2942 | hep-th | null | Open string field theory is considered as a tool for deriving the effective
action for the massless or tachyonic fields living on D-branes. Some simple
calculations are performed in open bosonic string field theory which validate
this approach. The level truncation method is used to calculate successive
approximations to the quartic terms \phi^4, (A^\mu A_\mu)^2 and [A_\mu,
A_\nu]^2 for the zero momentum tachyon and gauge field on one or many bosonic
D-branes. We find that the level truncation method converges for these terms
within 2-4% when all massive fields up to level 20 are integrated out, although
the convergence is slower than exponential. We discuss the possibility of
extending this work to determine the structure of the nonabelian Born-Infeld
theory describing the gauge field on a system of many parallel bosonic or
supersymmetric D-branes. We also describe a brane configuration in which
tachyon condensation arises in both the gauge theory and string field theory
pictures. This provides a natural connection between recent work of Sen and
Zwiebach on tachyon condensation in string field theory and unstable vacua in
super Yang-Mills and Born-Infeld field theory.
| [
{
"created": "Fri, 28 Jan 2000 18:12:22 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2000 18:52:17 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Feb 2000 14:09:12 GMT",
"version": "v3"
},
{
"created": "Tue, 15 Feb 2000 14:53:58 GMT",
"version": "v4"
}
] | 2009-10-31 | [
[
"Taylor",
"Washington",
"",
"MIT"
]
] | Open string field theory is considered as a tool for deriving the effective action for the massless or tachyonic fields living on D-branes. Some simple calculations are performed in open bosonic string field theory which validate this approach. The level truncation method is used to calculate successive approximations to the quartic terms \phi^4, (A^\mu A_\mu)^2 and [A_\mu, A_\nu]^2 for the zero momentum tachyon and gauge field on one or many bosonic D-branes. We find that the level truncation method converges for these terms within 2-4% when all massive fields up to level 20 are integrated out, although the convergence is slower than exponential. We discuss the possibility of extending this work to determine the structure of the nonabelian Born-Infeld theory describing the gauge field on a system of many parallel bosonic or supersymmetric D-branes. We also describe a brane configuration in which tachyon condensation arises in both the gauge theory and string field theory pictures. This provides a natural connection between recent work of Sen and Zwiebach on tachyon condensation in string field theory and unstable vacua in super Yang-Mills and Born-Infeld field theory. |
hep-th/9601144 | Sazdovic Branislav | A. Mikovic and B. Sazdovic | W-Strings on Curved Backgrounds | 10 pages, Latex, no figures. Revised version (the incorrect result
following from a wrong interpretation of a vielbein constraint has been
corrected) | Mod.Phys.Lett.A12:501-510,1997 | 10.1142/S0217732397000522 | IF-3-96 | hep-th | null | We discuss a canonical formalism method for constructing actions describing
propagation of W-strings on curved backgrounds. The method is based on the
construction of a representation of the W-algebra in terms of currents made
from the string coordinates and the canonically conjugate momenta. We construct
such a representation for a W_3-string propagating in the background metric
with one flat direction by using a simple ansatz for the W-generators where
each generator is a polynomial of the canonical currents and the veilbeins. In
the case of a general background we show that the simple polynomial ansatz
fails, and terms containing the veilbein derivatives must be added.
| [
{
"created": "Fri, 26 Jan 1996 12:24:00 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 1996 12:56:00 GMT",
"version": "v2"
}
] | 2009-01-16 | [
[
"Mikovic",
"A.",
""
],
[
"Sazdovic",
"B.",
""
]
] | We discuss a canonical formalism method for constructing actions describing propagation of W-strings on curved backgrounds. The method is based on the construction of a representation of the W-algebra in terms of currents made from the string coordinates and the canonically conjugate momenta. We construct such a representation for a W_3-string propagating in the background metric with one flat direction by using a simple ansatz for the W-generators where each generator is a polynomial of the canonical currents and the veilbeins. In the case of a general background we show that the simple polynomial ansatz fails, and terms containing the veilbein derivatives must be added. |
hep-th/0001016 | Enrique Alvarez | Enrique Alvarez and Cesar Gomez | A Comment on the Holographic Renormalization Group and the Soft Dilaton
Theorem | LaTeX,7 pages. Typos corrected. Minor changes | Phys.Lett. B476 (2000) 411-414 | 10.1016/S0370-2693(00)00139-8 | IFT-UAM/CSIC/00-01 | hep-th | null | The equivalence between the holographic renormalization group and the soft
dilaton theorem is shown for a class of wrapped metrics solutions of the string
beta function equations for the bosonic string.
| [
{
"created": "Wed, 5 Jan 2000 09:20:38 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jan 2000 12:31:02 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jan 2000 13:35:21 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Alvarez",
"Enrique",
""
],
[
"Gomez",
"Cesar",
""
]
] | The equivalence between the holographic renormalization group and the soft dilaton theorem is shown for a class of wrapped metrics solutions of the string beta function equations for the bosonic string. |
hep-th/0511272 | Philip C. Argyres | Philip C. Argyres and Mohammad Edalati | Generalized Konishi anomaly, Seiberg duality and singular effective
superpotentials | 20 pages; v3: corrected the comparison to the SU(2) case | JHEP0602:071,2006 | 10.1088/1126-6708/2006/02/071 | null | hep-th | null | Using the generalized Konishi anomaly (GKA) equations, we derive the
effective superpotential of four-dimensional N=1 supersymmetric SU(n) gauge
theory with n+2 fundamental flavors. We find, however, that the GKA equations
are only integrable in the Seiberg dual description of the theory, but not in
the direct description of the theory. The failure of integrability in the
direct, strongly coupled, description suggests the existence of
non-perturbative corrections to the GKA equations.
| [
{
"created": "Sun, 27 Nov 2005 21:17:22 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Dec 2005 20:03:39 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Dec 2005 21:34:38 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Argyres",
"Philip C.",
""
],
[
"Edalati",
"Mohammad",
""
]
] | Using the generalized Konishi anomaly (GKA) equations, we derive the effective superpotential of four-dimensional N=1 supersymmetric SU(n) gauge theory with n+2 fundamental flavors. We find, however, that the GKA equations are only integrable in the Seiberg dual description of the theory, but not in the direct description of the theory. The failure of integrability in the direct, strongly coupled, description suggests the existence of non-perturbative corrections to the GKA equations. |
hep-th/9806105 | Won Tae Kim | Won Tae Kim, Hyeonjoon Shin, and Myung Seok Yoon | Remarks on self-dual formulation of Born-Infeld-Chern-Simons theory | 7 pages, latex, no figures | null | null | SOGANG-HEP 237/98, SNUTP 98-060 | hep-th | null | We study the self-duality of Born-Infeld-Chern-Simons theory which can be
interpreted as a massive D2 brane in IIA string theory and exhibit the
self-dual formulation in terms of the gauge invariant master Lagrangian. The
proposed master Lagrangian contains the nonlocal auxiliary field and approaches
self-dual formulation of Maxwell-Chern-Simons theory in a point-particle limit
with the weak string-coupling limit. The consistent canonical brackets of dual
system are derived.
| [
{
"created": "Sat, 13 Jun 1998 02:52:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kim",
"Won Tae",
""
],
[
"Shin",
"Hyeonjoon",
""
],
[
"Yoon",
"Myung Seok",
""
]
] | We study the self-duality of Born-Infeld-Chern-Simons theory which can be interpreted as a massive D2 brane in IIA string theory and exhibit the self-dual formulation in terms of the gauge invariant master Lagrangian. The proposed master Lagrangian contains the nonlocal auxiliary field and approaches self-dual formulation of Maxwell-Chern-Simons theory in a point-particle limit with the weak string-coupling limit. The consistent canonical brackets of dual system are derived. |
hep-th/0605160 | Alejandra Melfo | Rommel Guerrero, Alejandra Melfo, Nelson Pantoja, and R. Omar
Rodriguez | Close to the edge: hierarchy in a double braneworld | Some typos corrected, references added | Phys.Rev. D74 (2006) 084025 | 10.1103/PhysRevD.74.084025 | null | hep-th | null | We show that the hierarchy between the Planck and the weak scales can follow
from the tendency of gravitons and fermions to localize at different edges of a
thick double wall embedded in an $AdS_5$ spacetime without reflection symmetry.
This double wall is a stable BPS thick-wall solution with two sub-walls located
at its edges; fermions are coupled to the scalar field through Yukawa
interactions, but the the lack of reflection symmetry forces them to be
localized in one of the sub-walls. We show that the graviton zero-mode
wavefunction is suppressed in the fermion edge by an exponential function of
the distance between the sub-walls, and that the massive modes decouple so that
Newtonian gravity is recuperated.
| [
{
"created": "Tue, 16 May 2006 19:28:15 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Jun 2006 16:23:07 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Guerrero",
"Rommel",
""
],
[
"Melfo",
"Alejandra",
""
],
[
"Pantoja",
"Nelson",
""
],
[
"Rodriguez",
"R. Omar",
""
]
] | We show that the hierarchy between the Planck and the weak scales can follow from the tendency of gravitons and fermions to localize at different edges of a thick double wall embedded in an $AdS_5$ spacetime without reflection symmetry. This double wall is a stable BPS thick-wall solution with two sub-walls located at its edges; fermions are coupled to the scalar field through Yukawa interactions, but the the lack of reflection symmetry forces them to be localized in one of the sub-walls. We show that the graviton zero-mode wavefunction is suppressed in the fermion edge by an exponential function of the distance between the sub-walls, and that the massive modes decouple so that Newtonian gravity is recuperated. |
2112.03844 | Jean Felipe | B. Z. Felippe, A. P. Ba\^eta Scarpelli, A. R. Vieira and J. C. C.
Felipe | Advances towards the systematization of calculations with Implicit
Regularization | 25 pages, 4 figures | null | 10.1140/epjc/s10052-022-10535-2 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | There is currently a high demand for theoretical predictions for processes at
next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount
of data which has already been collected at LHC. This requires practical
methods that meet the physical requirements of the models under study. We
develop a new procedure for applying Constrained Implicit Regularization which
simplifies the calculation of amplitudes, including finite parts. The algebraic
identities to separate the divergent parts free from the external momenta are
used after the Feynman parametrization. These algebraic identities establish a
set of scale relations which are always the same and do not need to be
calculated in each situation. This procedure unifies the calculations in
massive and non-massive models in an unique procedure. We establish a
systematization of the calculation of one-loop amplitudes and extend the
procedure for higher-loop orders.
| [
{
"created": "Tue, 7 Dec 2021 17:29:15 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jun 2022 17:36:37 GMT",
"version": "v2"
}
] | 2022-07-06 | [
[
"Felippe",
"B. Z.",
""
],
[
"Scarpelli",
"A. P. Baêta",
""
],
[
"Vieira",
"A. R.",
""
],
[
"Felipe",
"J. C. C.",
""
]
] | There is currently a high demand for theoretical predictions for processes at next-to-next-to-leading order (NNLO) and beyond, mainly due to the large amount of data which has already been collected at LHC. This requires practical methods that meet the physical requirements of the models under study. We develop a new procedure for applying Constrained Implicit Regularization which simplifies the calculation of amplitudes, including finite parts. The algebraic identities to separate the divergent parts free from the external momenta are used after the Feynman parametrization. These algebraic identities establish a set of scale relations which are always the same and do not need to be calculated in each situation. This procedure unifies the calculations in massive and non-massive models in an unique procedure. We establish a systematization of the calculation of one-loop amplitudes and extend the procedure for higher-loop orders. |
hep-th/0011188 | Burinskii A. Ya. | Alexander Burinskii | Rotating Super Black Hole as Spinning Particle | 20 pages, Latex, talk given at the NATO Advanced Research Workshop
"Non-commutative Structures in Mathematics and Physics", Kiev, September 2000
(Submitted to the Proceedings of ARW) | Noncommutative Structures in Mathematics and Physics. Eds S.Duplij
and J.Wess. Kluwer Acad. Press. NATO Sc. Series II. 22(2001)181-193 | null | null | hep-th gr-qc hep-ph quant-ph | null | We give a review of the works devoted to the treatment of the Kerr super
black hole solution as a spinning particle. The real, complex and stringy
structures of the Kerr and super-Kerr geometries are discussed, as well as the
recent results on the regular matter source for the Kerr spinning particle. It
is shown that the source has to represent a rotating bag-like bubble having
(A)dS interior and a smooth domain wall boundary. The given by Morris
supersymmetric generalization of the U(I) x U'(I) field model (which was used
by Witten to describe cosmic superconducting strings) is considered, and it is
shown that this model can be adapted for description of superconducting bags
having a long range external electromagnetic field and another gauge field
confined inside the bag.
| [
{
"created": "Tue, 21 Nov 2000 12:13:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Burinskii",
"Alexander",
""
]
] | We give a review of the works devoted to the treatment of the Kerr super black hole solution as a spinning particle. The real, complex and stringy structures of the Kerr and super-Kerr geometries are discussed, as well as the recent results on the regular matter source for the Kerr spinning particle. It is shown that the source has to represent a rotating bag-like bubble having (A)dS interior and a smooth domain wall boundary. The given by Morris supersymmetric generalization of the U(I) x U'(I) field model (which was used by Witten to describe cosmic superconducting strings) is considered, and it is shown that this model can be adapted for description of superconducting bags having a long range external electromagnetic field and another gauge field confined inside the bag. |
hep-th/9709206 | Sumit R. Das | Sumit R. Das | D-brane decay and Hawking Radiation | 9 pages latex with espcrc. Based on talk given at STRINGS'97 held at
Amsterdam, June, 1997. References added | Nucl.Phys.Proc.Suppl.68:119-127,1998 | 10.1016/S0920-5632(98)00146-7 | TIFR-TH/97-52 | hep-th | null | Tree level decay amplitudes of near-BPS D-brane configurations are known to
exactly reproduce Hawking radiation rates from corresponding black holes at low
energies even though the brane configurations describe semiclassical black
holes only when the open string couplings are large. We show that a large class
of one (open string) loop corrections to emission processes from D-branes
vanish at low energies and nonvanishing loop contributions have an energy
dependence consistent with black hole answers, thus providing a justification
for the agreement of the tree level results with semiclassical answers.
| [
{
"created": "Mon, 29 Sep 1997 11:20:56 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Nov 1997 10:40:19 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Das",
"Sumit R.",
""
]
] | Tree level decay amplitudes of near-BPS D-brane configurations are known to exactly reproduce Hawking radiation rates from corresponding black holes at low energies even though the brane configurations describe semiclassical black holes only when the open string couplings are large. We show that a large class of one (open string) loop corrections to emission processes from D-branes vanish at low energies and nonvanishing loop contributions have an energy dependence consistent with black hole answers, thus providing a justification for the agreement of the tree level results with semiclassical answers. |
1106.3854 | David R. Morrison | Sheldon Katz, David R. Morrison, Sakura Sch\"afer-Nameki, James Sully | Tate's algorithm and F-theory | 30 pages | null | 10.1007/JHEP08(2011)094 | UCSB Math 2011-09, IPMU11-0107, NSF-KITP-11-110, KCL-MTH-11-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The "Tate forms" for elliptically fibered Calabi-Yau manifolds are
reconsidered in order to determine their general validity. We point out that
there were some implicit assumptions made in the original derivation of these
"Tate forms" from the Tate algorithm. By a careful analysis of the Tate
algorithm itself, we deduce that the "Tate forms" (without any futher
divisiblity assumptions) do not hold in some instances and have to be replaced
by a new type of ansatz. Furthermore, we give examples in which the existence
of a "Tate form" can be globally obstructed, i.e., the change of coordinates
does not extend globally to sections of the entire base of the elliptic
fibration. These results have implications both for model-building and for the
exploration of the landscape of F-theory vacua.
| [
{
"created": "Mon, 20 Jun 2011 10:02:53 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Katz",
"Sheldon",
""
],
[
"Morrison",
"David R.",
""
],
[
"Schäfer-Nameki",
"Sakura",
""
],
[
"Sully",
"James",
""
]
] | The "Tate forms" for elliptically fibered Calabi-Yau manifolds are reconsidered in order to determine their general validity. We point out that there were some implicit assumptions made in the original derivation of these "Tate forms" from the Tate algorithm. By a careful analysis of the Tate algorithm itself, we deduce that the "Tate forms" (without any futher divisiblity assumptions) do not hold in some instances and have to be replaced by a new type of ansatz. Furthermore, we give examples in which the existence of a "Tate form" can be globally obstructed, i.e., the change of coordinates does not extend globally to sections of the entire base of the elliptic fibration. These results have implications both for model-building and for the exploration of the landscape of F-theory vacua. |
2203.15816 | Rak-Kyeong Seong | Sebastian Franco, Rak-Kyeong Seong | Fano 3-Folds, Reflexive Polytopes and Brane Brick Models | 208 pages, 45 figures, 74 tables | JHEP 2208:008,2022 | 10.1007/JHEP08(2022)008 | UNIST-MTH-22-RS-01 | hep-th math-ph math.AG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Reflexive polytopes in n dimensions have attracted much attention both in
mathematics and theoretical physics due to their connection to Fano n-folds and
mirror symmetry. This work focuses on the 18 regular reflexive polytopes
corresponding to smooth Fano 3-folds. For the first time, we show that all 18
regular reflexive polytopes have corresponding 2d (0,2) gauge theories realized
by brane brick models. These 2d gauge theories can be considered as the
worldvolume theories of D1-branes probing the toric Calabi-Yau 4-singularities
whose toric diagrams are given by the associated regular reflexive polytopes.
The generators of the mesonic moduli space of the brane brick models are shown
to form a lattice of generators due to the charges under the rank 3 mesonic
flavor symmetry. It is shown that the lattice of generators is the exact polar
dual reflexive polytope to the corresponding toric diagram of the brane brick
model. This duality not only highlights the close relationship between the
geometry and 2d gauge theory, but also opens up pathways towards new
discoveries in relation to reflexive polytopes and brane brick models.
| [
{
"created": "Tue, 29 Mar 2022 18:00:03 GMT",
"version": "v1"
}
] | 2022-08-08 | [
[
"Franco",
"Sebastian",
""
],
[
"Seong",
"Rak-Kyeong",
""
]
] | Reflexive polytopes in n dimensions have attracted much attention both in mathematics and theoretical physics due to their connection to Fano n-folds and mirror symmetry. This work focuses on the 18 regular reflexive polytopes corresponding to smooth Fano 3-folds. For the first time, we show that all 18 regular reflexive polytopes have corresponding 2d (0,2) gauge theories realized by brane brick models. These 2d gauge theories can be considered as the worldvolume theories of D1-branes probing the toric Calabi-Yau 4-singularities whose toric diagrams are given by the associated regular reflexive polytopes. The generators of the mesonic moduli space of the brane brick models are shown to form a lattice of generators due to the charges under the rank 3 mesonic flavor symmetry. It is shown that the lattice of generators is the exact polar dual reflexive polytope to the corresponding toric diagram of the brane brick model. This duality not only highlights the close relationship between the geometry and 2d gauge theory, but also opens up pathways towards new discoveries in relation to reflexive polytopes and brane brick models. |
1603.00396 | Jen-Chi Lee | Sheng-Hong Lai, Jen-Chi Lee and Yi Yang | The Exact SL(K+3,C) Symmetry of String Scattering Amplitudes | 5 journal pages, no figure | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discover that the 26D open bosonic string scattering amplitudes (SSA) of
three tachyons and one arbitrary string state can be expressed in terms of the
D-type Lauricella functions with associated SL(K+3,C) symmetry. As a result,
SSA and symmetries or relations among SSA of different string states at various
limits calculated previously can be rederived. These include the linear
relations conjectured by Gross [1-3] and proved in [4-9] in the hard scattering
limit, the recurrence relations in the Regge scattering limit [14-16] and the
extended recurrence relations in the nonrelativistic scattering limit [19]
discovered recently. Finally, as an application, we calculate a new recurrence
relation of SSA which is valid for all energies.
| [
{
"created": "Tue, 1 Mar 2016 18:38:39 GMT",
"version": "v1"
}
] | 2016-03-02 | [
[
"Lai",
"Sheng-Hong",
""
],
[
"Lee",
"Jen-Chi",
""
],
[
"Yang",
"Yi",
""
]
] | We discover that the 26D open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state can be expressed in terms of the D-type Lauricella functions with associated SL(K+3,C) symmetry. As a result, SSA and symmetries or relations among SSA of different string states at various limits calculated previously can be rederived. These include the linear relations conjectured by Gross [1-3] and proved in [4-9] in the hard scattering limit, the recurrence relations in the Regge scattering limit [14-16] and the extended recurrence relations in the nonrelativistic scattering limit [19] discovered recently. Finally, as an application, we calculate a new recurrence relation of SSA which is valid for all energies. |
hep-th/0203221 | Per Kraus | Per Kraus and E. T. Tomboulis | Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant | 21 pages, harvmac | Phys.Rev. D66 (2002) 045015 | 10.1103/PhysRevD.66.045015 | UCLA-02-TEP-3 | hep-th | null | We reexamine a scenario in which photons and gravitons arise as Goldstone
bosons associated with the spontaneous breaking of Lorentz invariance. We study
the emergence of Lorentz invariant low energy physics in an effective field
theory framework, with non-Lorentz invariant effects arising from radiative
corrections and higher order interactions. Spontaneous breaking of the Lorentz
group also leads to additional exotic but weakly coupled Goldstone bosons,
whose dispersion relations we compute. The usual cosmological constant problem
is absent in this context: being a Goldstone boson, the graviton can never
develop a potential, and the existence of a flat spacetime solution to the
field equations is guaranteed.
| [
{
"created": "Mon, 25 Mar 2002 00:54:17 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kraus",
"Per",
""
],
[
"Tomboulis",
"E. T.",
""
]
] | We reexamine a scenario in which photons and gravitons arise as Goldstone bosons associated with the spontaneous breaking of Lorentz invariance. We study the emergence of Lorentz invariant low energy physics in an effective field theory framework, with non-Lorentz invariant effects arising from radiative corrections and higher order interactions. Spontaneous breaking of the Lorentz group also leads to additional exotic but weakly coupled Goldstone bosons, whose dispersion relations we compute. The usual cosmological constant problem is absent in this context: being a Goldstone boson, the graviton can never develop a potential, and the existence of a flat spacetime solution to the field equations is guaranteed. |
1107.3389 | Davide Campagnari | Hugo Reinhardt, Davide R. Campagnari, Adam P. Szczepaniak | Variational approach to Yang-Mills theory at finite temperatures | 11 pages, 6 eps figures | Phys.Rev.D84:045006,2011 | 10.1103/PhysRevD.84.045006 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the finite-temperature phase of a gluon ensemble in a variational
approximation to QCD in the Coulomb gauge. We derive and numerically solve the
underlying Dyson-Schwinger equations up to one-loop order. Assuming the
subcritical solution at T=0, we find a sharp transition in the infrared value
of the gluon energy at a critical temperature.
| [
{
"created": "Mon, 18 Jul 2011 09:53:46 GMT",
"version": "v1"
}
] | 2011-11-10 | [
[
"Reinhardt",
"Hugo",
""
],
[
"Campagnari",
"Davide R.",
""
],
[
"Szczepaniak",
"Adam P.",
""
]
] | We study the finite-temperature phase of a gluon ensemble in a variational approximation to QCD in the Coulomb gauge. We derive and numerically solve the underlying Dyson-Schwinger equations up to one-loop order. Assuming the subcritical solution at T=0, we find a sharp transition in the infrared value of the gluon energy at a critical temperature. |
1208.1205 | Thomas Curtright | Thomas L. Curtright | Galileons and Naked Singularities | References and acknowledgements added, and corrections made to Figure
1 | null | 10.1016/j.physletb.2012.08.047 | UMTG-27 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A simple trace-coupled Galileon model is shown to admit spherically symmetric
static solutions with naked spacetime curvature singularities.
| [
{
"created": "Mon, 6 Aug 2012 16:40:55 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Aug 2012 16:28:04 GMT",
"version": "v2"
},
{
"created": "Sun, 23 Sep 2012 18:26:43 GMT",
"version": "v3"
}
] | 2015-06-11 | [
[
"Curtright",
"Thomas L.",
""
]
] | A simple trace-coupled Galileon model is shown to admit spherically symmetric static solutions with naked spacetime curvature singularities. |
1411.1062 | Blaise Gout\'eraux | Richard A. Davison and Blaise Gout\'eraux | Momentum dissipation and effective theories of coherent and incoherent
transport | v1: 41 pages + appendices, 7 figures. v2: references and
clarifications added. v3: reference added | JHEP 1501 (2015) 039 | 10.1007/JHEP01(2015)039 | NORDITA-2014-127, SU-ITP-14/28 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study heat transport in two systems without momentum conservation: a
hydrodynamic system, and a holographic system with spatially dependent,
massless scalar fields. When momentum dissipates slowly, there is a
well-defined, coherent collective excitation in the AC heat conductivity, and a
crossover between sound-like and diffusive transport at small and large
distance scales. When momentum dissipates quickly, there is no such excitation
in the incoherent AC heat conductivity, and diffusion dominates at all distance
scales. For a critical value of the momentum dissipation rate, we compute exact
expressions for the Green's functions of our holographic system due to an
emergent gravitational self-duality, similar to electric/magnetic duality, and
SL(2,R) symmetries. We extend the coherent/incoherent classification to
examples of charge transport in other holographic systems: probe brane theories
and neutral theories with non-Maxwell actions.
| [
{
"created": "Tue, 4 Nov 2014 21:00:10 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Nov 2014 18:00:32 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Jan 2015 19:47:13 GMT",
"version": "v3"
}
] | 2015-01-22 | [
[
"Davison",
"Richard A.",
""
],
[
"Goutéraux",
"Blaise",
""
]
] | We study heat transport in two systems without momentum conservation: a hydrodynamic system, and a holographic system with spatially dependent, massless scalar fields. When momentum dissipates slowly, there is a well-defined, coherent collective excitation in the AC heat conductivity, and a crossover between sound-like and diffusive transport at small and large distance scales. When momentum dissipates quickly, there is no such excitation in the incoherent AC heat conductivity, and diffusion dominates at all distance scales. For a critical value of the momentum dissipation rate, we compute exact expressions for the Green's functions of our holographic system due to an emergent gravitational self-duality, similar to electric/magnetic duality, and SL(2,R) symmetries. We extend the coherent/incoherent classification to examples of charge transport in other holographic systems: probe brane theories and neutral theories with non-Maxwell actions. |
hep-th/9512214 | Ivanov Evgenyi | Changhyun Ahn, E. Ivanov, S. Krivonos and A. Sorin | Quantum N=2 super $W_3^{(2)}$ Algebra In Superspace | 8 pages, LaTeX, name of the first author extended | Mod.Phys.Lett. A11 (1996) 1705-1712 | 10.1142/S0217732396001697 | JINR E2-95-538 | hep-th | null | We discuss the N=2 extension of Polyakov-Bershadsky $W_3^{(2)}$ algebra with
the generic central charge, $c$, at the quantum level in superspace. It
contains, in addition to the spin 1 N=2 stress tensor, the spins $1/2, 2$
bosonic and spins $1/2, 2$ fermionic supercurrents satisfying the first class
nonlinear chiral constraints. In the $c \to \infty $ limit, the ``classical''
N=2 $W_3^{(2)}$ algebra is recovered.
| [
{
"created": "Thu, 28 Dec 1995 20:56:37 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Aug 1997 15:39:18 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Ahn",
"Changhyun",
""
],
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sorin",
"A.",
""
]
] | We discuss the N=2 extension of Polyakov-Bershadsky $W_3^{(2)}$ algebra with the generic central charge, $c$, at the quantum level in superspace. It contains, in addition to the spin 1 N=2 stress tensor, the spins $1/2, 2$ bosonic and spins $1/2, 2$ fermionic supercurrents satisfying the first class nonlinear chiral constraints. In the $c \to \infty $ limit, the ``classical'' N=2 $W_3^{(2)}$ algebra is recovered. |
hep-th/9410013 | null | K. Hornfeck | W-Algebras of Negative Rank | 12 papes, Latex, preprint DFTT-40/94 | Phys. Lett. B343 (1995) 94-102 | 10.1016/0370-2693(94)01442-F | null | hep-th | null | Recently it has been discovered that the W-algebras (orbifold of) WD_n can be
defined even for negative integers n by an analytic continuation of their
coupling constants. In this letter we shall argue that also the algebras
WA_{-n-1} can be defined and are finitely generated. In addition, we show that
a surprising connection exists between already known W-algebras, for example
between the CP(k)-models and the U(1)-cosets of the generalized
Polyakov-Bershadsky-algebras.
| [
{
"created": "Tue, 4 Oct 1994 09:13:34 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Hornfeck",
"K.",
""
]
] | Recently it has been discovered that the W-algebras (orbifold of) WD_n can be defined even for negative integers n by an analytic continuation of their coupling constants. In this letter we shall argue that also the algebras WA_{-n-1} can be defined and are finitely generated. In addition, we show that a surprising connection exists between already known W-algebras, for example between the CP(k)-models and the U(1)-cosets of the generalized Polyakov-Bershadsky-algebras. |
hep-th/0305156 | DaeKil Park | Eylee Jung, SungHoon Kim, and D. K. Park | Newton Law on the Generalized Singular Brane with and without 4d Induced
Gravity | 27 pages, 2 postscript figures included V1 figures are improved and
few comments are added for further discussion. version to appear in NPB | Nucl.Phys. B669 (2003) 306-324 | 10.1016/j.nuclphysb.2003.07.020 | null | hep-th gr-qc | null | Newton law arising due to the gravity localized on the general singular brane
embedded in $AdS_5$ bulk is examined in the absence or presence of the 4d
induced Einstein term. For the RS brane, apart from the subleading correction,
Newton potential obeys 4d-type and $5d$-type gravitational law at long- and
short-ranges if it were not for the induced Einstein term. The 4d induced
Einstein term generates an intermediate range at short distance, in which the
$5d$ Newton potential $1/r^2$ emerges. For Neumann brane the long-range
behavior of Newton potential is exponentially suppressed regardless of the
existence of the induced Einstein term. For Dirichlet brane the expression of
Newton potential is dependent on the renormalized coupling constant $v^{ren}$.
At particular value of $v^{ren}$ Newton potential on Dirichlet brane exhibits a
similar behavior to that on RS brane. For other values the long-range behavior
of Newton potential is exponentially suppressed as that in Neumann brane.
| [
{
"created": "Mon, 19 May 2003 13:25:17 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 2003 22:14:39 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Jung",
"Eylee",
""
],
[
"Kim",
"SungHoon",
""
],
[
"Park",
"D. K.",
""
]
] | Newton law arising due to the gravity localized on the general singular brane embedded in $AdS_5$ bulk is examined in the absence or presence of the 4d induced Einstein term. For the RS brane, apart from the subleading correction, Newton potential obeys 4d-type and $5d$-type gravitational law at long- and short-ranges if it were not for the induced Einstein term. The 4d induced Einstein term generates an intermediate range at short distance, in which the $5d$ Newton potential $1/r^2$ emerges. For Neumann brane the long-range behavior of Newton potential is exponentially suppressed regardless of the existence of the induced Einstein term. For Dirichlet brane the expression of Newton potential is dependent on the renormalized coupling constant $v^{ren}$. At particular value of $v^{ren}$ Newton potential on Dirichlet brane exhibits a similar behavior to that on RS brane. For other values the long-range behavior of Newton potential is exponentially suppressed as that in Neumann brane. |
hep-th/0310190 | Mariano Quiros | G.v. Gersdorff, M. Quiros, A. Riotto | Scherk-Schwarz Supersymmetry Breaking with Radion Stabilization | 16 pages, 4 figures | Nucl.Phys. B689 (2004) 76-90 | 10.1016/j.nuclphysb.2004.04.010 | null | hep-th | null | We study the issue of radion stabilization within five-dimensional
supersymmetric theories compactified on the orbifold S^1/Z_2. We break
supersymmetry by the Scherk-Schwarz mechanism and explain its implementation in
the off-shell formulation of five dimensional supergravity in terms of the
tensor and linear compensator multiplets. We show that radion stabilization may
be achieved by radiative corrections in the presence of five-dimensional fields
which are quasi-localized on the boundaries through the presence of Z_2 odd
mass terms. For the mechanism to work the number of quasi-localized fields
should be greater than 2+N_V-N_h where N_V and N_h are the number of massless
gauge- and hypermultiplets in the bulk. The radion is stabilized in a
metastable Minkowski vacuum with a lifetime much larger than cosmological
time-scales. The radion mass is in the meV range making it interesting for
present and future measurements of deviations from the gravitational
inverse-square law in the submillimeter range.
| [
{
"created": "Mon, 20 Oct 2003 17:43:23 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Gersdorff",
"G. v.",
""
],
[
"Quiros",
"M.",
""
],
[
"Riotto",
"A.",
""
]
] | We study the issue of radion stabilization within five-dimensional supersymmetric theories compactified on the orbifold S^1/Z_2. We break supersymmetry by the Scherk-Schwarz mechanism and explain its implementation in the off-shell formulation of five dimensional supergravity in terms of the tensor and linear compensator multiplets. We show that radion stabilization may be achieved by radiative corrections in the presence of five-dimensional fields which are quasi-localized on the boundaries through the presence of Z_2 odd mass terms. For the mechanism to work the number of quasi-localized fields should be greater than 2+N_V-N_h where N_V and N_h are the number of massless gauge- and hypermultiplets in the bulk. The radion is stabilized in a metastable Minkowski vacuum with a lifetime much larger than cosmological time-scales. The radion mass is in the meV range making it interesting for present and future measurements of deviations from the gravitational inverse-square law in the submillimeter range. |
hep-th/0208063 | Yasunari Kurita | Yasunari Kurita, Masa-aki Sakagami | Quasi-normal modes of D3-brane Black Holes | 10 pages, 2 figures, added references and several new clarifying
comments. To appear in Physical Review D | Phys.Rev. D67 (2003) 024003 | 10.1103/PhysRevD.67.024003 | null | hep-th gr-qc | null | We investigate a method to evaluate quasi-normal modes of D3-brane black
holes by wave interpretation of fields on D3-brane based on the Feynman's
space-time approach. We perturbatively solve the wave equation which describes
propagation of a dilaton wave in a bulk space and its interaction with the
D3-brane. The obtained condition for the quasi-normal modes are qualitatively
equivalent to that evaluated in the usual scattering of the dilaton in the
black 3-brane spacetime in the corresponding supergravity description.
| [
{
"created": "Thu, 8 Aug 2002 12:36:10 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Oct 2002 13:16:28 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Kurita",
"Yasunari",
""
],
[
"Sakagami",
"Masa-aki",
""
]
] | We investigate a method to evaluate quasi-normal modes of D3-brane black holes by wave interpretation of fields on D3-brane based on the Feynman's space-time approach. We perturbatively solve the wave equation which describes propagation of a dilaton wave in a bulk space and its interaction with the D3-brane. The obtained condition for the quasi-normal modes are qualitatively equivalent to that evaluated in the usual scattering of the dilaton in the black 3-brane spacetime in the corresponding supergravity description. |
0910.3025 | Isao Kishimoto | Isao Kishimoto, Tomohiko Takahashi | Numerical Evaluation of Gauge Invariants for a-gauge Solutions in Open
String Field Theory | 12 pages, 3 figures; new numerical data up to level (20,60) included;
Contribution to the proceedings of "Second International Conference on String
Field Theory and Related Aspects" (Steklov Mathematical Institute, Moscow,
Russia, April 12-19, 2009) | Theor.Math.Phys.163:710-716,2010 | 10.1007/s11232-010-0054-y | RIKEN-TH-170 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate gauge invariants, action and gauge invariant overlap, for
numerical solutions which satisfy the "a-gauge" condition with various values
of $a$ in cubic open bosonic string field theory. We use the level truncation
approximation and an iterative procedure to construct numerical solutions in
the twist even universal space. The resulting gauge invariants are numerically
stable and almost equal to those of Schnabl's solution for tachyon
condensation. Our result provides further evidence that these numerical and
analytical solutions are gauge equivalent.
| [
{
"created": "Fri, 16 Oct 2009 03:02:22 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Kishimoto",
"Isao",
""
],
[
"Takahashi",
"Tomohiko",
""
]
] | We evaluate gauge invariants, action and gauge invariant overlap, for numerical solutions which satisfy the "a-gauge" condition with various values of $a$ in cubic open bosonic string field theory. We use the level truncation approximation and an iterative procedure to construct numerical solutions in the twist even universal space. The resulting gauge invariants are numerically stable and almost equal to those of Schnabl's solution for tachyon condensation. Our result provides further evidence that these numerical and analytical solutions are gauge equivalent. |
hep-th/0608017 | Minos Axenides | Minos Axenides and Emmanuel Floratos | Euler Top Dynamics of Nambu-Goto P-Branes | 33 pages, LATEX; more typos corrected; some equation numbering
corrections | JHEP 0703:093,2007 | 10.1088/1126-6708/2007/03/093 | null | hep-th | null | We propose a method to obtain new exact solutions of spinning p-branes in
flat space-times for any p, which manifest themselves as higher dimensional
Euler Tops and minimize their energy functional. We provide concrete examples
for the case of spherical topology S^{2}, S^{3} and rotational symmetry
\prod_{i}SO(q_{i}). In the case of toroidal topology T^{2}, T^{3} the
rotational symmetry is \prod SU(q_{i}) and m target dimensions are compactified
on the torus T^{m} . By double dimensional reduction the Light Cone
Hamiltonians of T^{2}, T^{3} reduce to those of closed string S^{1} and T^{2}
membranes respectively. The solutions are interpreted as non-perturbative
spinning soliton states of type IIA-IIB superstrings.
| [
{
"created": "Wed, 2 Aug 2006 15:55:08 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2006 10:35:43 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Mar 2007 14:28:32 GMT",
"version": "v3"
}
] | 2010-10-27 | [
[
"Axenides",
"Minos",
""
],
[
"Floratos",
"Emmanuel",
""
]
] | We propose a method to obtain new exact solutions of spinning p-branes in flat space-times for any p, which manifest themselves as higher dimensional Euler Tops and minimize their energy functional. We provide concrete examples for the case of spherical topology S^{2}, S^{3} and rotational symmetry \prod_{i}SO(q_{i}). In the case of toroidal topology T^{2}, T^{3} the rotational symmetry is \prod SU(q_{i}) and m target dimensions are compactified on the torus T^{m} . By double dimensional reduction the Light Cone Hamiltonians of T^{2}, T^{3} reduce to those of closed string S^{1} and T^{2} membranes respectively. The solutions are interpreted as non-perturbative spinning soliton states of type IIA-IIB superstrings. |
hep-th/9301055 | null | M. Tonin | Twistor-Like Formulation of Heterotic Strings | 19 pages (Talk given at the X Italian Conference on General
Relativity and Gravitational Physics - Bardonecchia, September 1-5 (1992)) | null | null | null | hep-th | null | In this talk new formulations of the Green--Schwarz heterotic strings in $D$
dimensions that involve commuting spinors, are reviewed. These models are
invariant under $n$--extended, world sheet supersymmetry as well as under
$N=1$, target space supersymmetry where $n\leq D-2$ and $D=3,4,6,10$. The world
sheet supersymmetry replaces $n$ components (and provides a geometrical
meaning) of the $\kappa$--symmetry in the Green--Schwarz approach. The models
in $D=10$ for $n=1,2,8$ are discussed explicitly.
| [
{
"created": "Thu, 14 Jan 1993 11:10:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Tonin",
"M.",
""
]
] | In this talk new formulations of the Green--Schwarz heterotic strings in $D$ dimensions that involve commuting spinors, are reviewed. These models are invariant under $n$--extended, world sheet supersymmetry as well as under $N=1$, target space supersymmetry where $n\leq D-2$ and $D=3,4,6,10$. The world sheet supersymmetry replaces $n$ components (and provides a geometrical meaning) of the $\kappa$--symmetry in the Green--Schwarz approach. The models in $D=10$ for $n=1,2,8$ are discussed explicitly. |
hep-th/9409080 | null | P. Maraner | A Complete Perturbative Expansion for Constrained Quantum Dynamics | 18 pages, LaTex | J.Phys. A28 (1995) 2939-2952 | 10.1088/0305-4470/28/10/021 | UPRF-94-408 | hep-th | null | A complete perturbative expansion for the Hamiltonian describing the motion
of a quantomechanical system constrained to move on an arbitrary submanifold of
its configuration space $R^n$ is obtained.
| [
{
"created": "Wed, 14 Sep 1994 12:56:50 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Maraner",
"P.",
""
]
] | A complete perturbative expansion for the Hamiltonian describing the motion of a quantomechanical system constrained to move on an arbitrary submanifold of its configuration space $R^n$ is obtained. |
2305.09053 | Marco Stefano Bianchi | Marco S. Bianchi | Two spinning Konishi operators at three loops | v2: fixed errors in formulae (2.4), (2.6) and (5.21) | null | 10.1007/JHEP07(2023)173 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the three-point function of two spin-two and one scalar twist-two
operators in N=4 SYM up to three perturbative orders at weak coupling, obtained
via a direct Feynman diagrammatic calculation.
| [
{
"created": "Mon, 15 May 2023 22:32:24 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Sep 2023 15:13:59 GMT",
"version": "v2"
}
] | 2023-09-04 | [
[
"Bianchi",
"Marco S.",
""
]
] | We present the three-point function of two spin-two and one scalar twist-two operators in N=4 SYM up to three perturbative orders at weak coupling, obtained via a direct Feynman diagrammatic calculation. |
1511.02892 | Sergei Alexandrov | Sergei Alexandrov, Boris Pioline | Theta series, wall-crossing and quantum dilogarithm identities | 26 pages; v2: added discussion on relation to complex Chern-Simons,
misprints corrected | Lett.Math.Phys. 106 (2016) no.8, 1037-1066 | 10.1007/s11005-016-0857-3 | L2C:15-197, CERN-PH-TH-2015-262 | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by mathematical structures which arise in string vacua and gauge
theories with N=2 supersymmetry, we study the properties of certain generalized
theta series which appear as Fourier coefficients of functions on a twisted
torus. In Calabi-Yau string vacua, such theta series encode instanton
corrections from $k$ Neveu-Schwarz five-branes. The theta series are determined
by vector-valued wave-functions, and in this work we obtain the transformation
of these wave-functions induced by Kontsevich-Soibelman symplectomorphisms.
This effectively provides a quantum version of these transformations, where the
quantization parameter is inversely proportional to the five-brane charge $k$.
Consistency with wall-crossing implies a new five-term relation for Faddeev's
quantum dilogarithm $\Phi_b$ at $b=1$, which we prove. By allowing the torus to
be non-commutative, we obtain a more general five-term relation valid for
arbitrary $b$ and $k$, which may be relevant for the physics of five-branes at
finite chemical potential for angular momentum.
| [
{
"created": "Mon, 9 Nov 2015 21:25:35 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2016 21:11:32 GMT",
"version": "v2"
}
] | 2016-07-28 | [
[
"Alexandrov",
"Sergei",
""
],
[
"Pioline",
"Boris",
""
]
] | Motivated by mathematical structures which arise in string vacua and gauge theories with N=2 supersymmetry, we study the properties of certain generalized theta series which appear as Fourier coefficients of functions on a twisted torus. In Calabi-Yau string vacua, such theta series encode instanton corrections from $k$ Neveu-Schwarz five-branes. The theta series are determined by vector-valued wave-functions, and in this work we obtain the transformation of these wave-functions induced by Kontsevich-Soibelman symplectomorphisms. This effectively provides a quantum version of these transformations, where the quantization parameter is inversely proportional to the five-brane charge $k$. Consistency with wall-crossing implies a new five-term relation for Faddeev's quantum dilogarithm $\Phi_b$ at $b=1$, which we prove. By allowing the torus to be non-commutative, we obtain a more general five-term relation valid for arbitrary $b$ and $k$, which may be relevant for the physics of five-branes at finite chemical potential for angular momentum. |
hep-th/0108065 | null | Sergiu I. Vacaru and Evghenii Gaburov | Anisotropic Black Holes in Einstein and Brane Gravity | 6 pages, Revtex, version 4, new references and affiliation | Chapter 8 in: "Clifford and Riemann Finsler Structures in
Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos,
E. Gaburov and D. Gonta (Geometry Balkan Press, 2006)
http://www.mathem.pub.ro/dgds/mono/va-t.pdf | null | null | hep-th astro-ph gr-qc | null | We consider exact solutions of Einstein equations defining static black holes
parametrized by off-diagonal metrics which by anholonomic mappings can be
equivalently transformed into some diagonal metrics with coefficients being
very similar to those from the Schwarzschild and/or Reissner-N\"ordstrom
solutions with anisotropic renormalizations of constants. We emphasize that
such classes of solutions, for instance, with ellipsoidal symmetry of horizons,
can be constructed even in general relativity theory if off-diagonal metrics
and anholonomic frames are introduced into considerations. Such solutions do
not violate the Israel's uniqueness theorems on static black hole
configurations because at long radial distances one holds the usual
Schwarzschild limit. We show that anisotropic deformations of the
Reissner-N\"ordstrom metric can be an exact solution on the brane,
re-interpreted as a black hole with an effective electromagnetic like charge
anisotropically induced and polarized by higher dimension gravitational
interactions.
| [
{
"created": "Thu, 9 Aug 2001 19:02:57 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Oct 2001 19:09:12 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Dec 2001 13:25:56 GMT",
"version": "v3"
},
{
"created": "Sun, 30 Dec 2001 17:41:19 GMT",
"version": "v4"
}
] | 2007-05-23 | [
[
"Vacaru",
"Sergiu I.",
""
],
[
"Gaburov",
"Evghenii",
""
]
] | We consider exact solutions of Einstein equations defining static black holes parametrized by off-diagonal metrics which by anholonomic mappings can be equivalently transformed into some diagonal metrics with coefficients being very similar to those from the Schwarzschild and/or Reissner-N\"ordstrom solutions with anisotropic renormalizations of constants. We emphasize that such classes of solutions, for instance, with ellipsoidal symmetry of horizons, can be constructed even in general relativity theory if off-diagonal metrics and anholonomic frames are introduced into considerations. Such solutions do not violate the Israel's uniqueness theorems on static black hole configurations because at long radial distances one holds the usual Schwarzschild limit. We show that anisotropic deformations of the Reissner-N\"ordstrom metric can be an exact solution on the brane, re-interpreted as a black hole with an effective electromagnetic like charge anisotropically induced and polarized by higher dimension gravitational interactions. |
1212.6915 | Jen-Chi Lee | Jen-Chi Lee and Yoshihiro Mitsuka | Recurrence relations of Kummer functions and Regge string scattering
amplitudes | 26 pages,v2:28 pages,three paragraphs after Eq.(3.83) added | null | 10.1007/JHEP04(2013)082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discover an infinite number of recurrence relations among Regge string
scattering amplitudes \cite{bosonic,RRsusy} of different string states at
arbitrary mass levels in the open bosonic string theory. As a result, all Regge
string scattering amplitudes can be algebraically solved up to multiplicative
factors. Instead of decoupling zero-norm states in the fixed angle regime, the
calculation is based on recurrence relations and addition theorem of Kummer
functions of the second kind. These recurrence relations among Regge string
scattering amplitudes are dual to linear relations or symmetries among
high-energy fixed angle string scattering amplitudes discovered previously.
| [
{
"created": "Mon, 31 Dec 2012 15:57:22 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2013 10:22:49 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Lee",
"Jen-Chi",
""
],
[
"Mitsuka",
"Yoshihiro",
""
]
] | We discover an infinite number of recurrence relations among Regge string scattering amplitudes \cite{bosonic,RRsusy} of different string states at arbitrary mass levels in the open bosonic string theory. As a result, all Regge string scattering amplitudes can be algebraically solved up to multiplicative factors. Instead of decoupling zero-norm states in the fixed angle regime, the calculation is based on recurrence relations and addition theorem of Kummer functions of the second kind. These recurrence relations among Regge string scattering amplitudes are dual to linear relations or symmetries among high-energy fixed angle string scattering amplitudes discovered previously. |
hep-th/9405075 | null | J. Sobczyk | Classical r-matrices and construction of quantum groups | 9 pages | null | null | FTUV/94-25 | hep-th math.QA | null | A problem of constructing quantum groups from classical r-matrices is
discussed.
| [
{
"created": "Wed, 11 May 1994 18:29:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jun 1994 08:37:00 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Sobczyk",
"J.",
""
]
] | A problem of constructing quantum groups from classical r-matrices is discussed. |
1108.2294 | Anton van Niekerk | Anton van Niekerk | Entanglement Entropy in NonConformal Holographic Theories | 19 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entanglement entropy of various geometries is calculated for the boundary
theory dual to a stack of N Dp-branes. The entanglement entropies are readily
expressed in terms of the effective coupling at the appropriate energy scales.
The results are also compared to the entropy density of a black brane and some
universal properties of holographic entropy are found.
| [
{
"created": "Wed, 10 Aug 2011 21:48:33 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Aug 2011 19:19:20 GMT",
"version": "v2"
}
] | 2011-08-24 | [
[
"van Niekerk",
"Anton",
""
]
] | The entanglement entropy of various geometries is calculated for the boundary theory dual to a stack of N Dp-branes. The entanglement entropies are readily expressed in terms of the effective coupling at the appropriate energy scales. The results are also compared to the entropy density of a black brane and some universal properties of holographic entropy are found. |
hep-th/0702002 | Ishwaree Neupane | Ben M. Leith and Ishwaree P. Neupane | Gauss-Bonnet cosmologies: crossing the phantom divide and the transition
from matter dominance to dark energy | 44 pages, several eps figures; section 2 expanded with discussions on
cosmological/astrophysical constraints, final in JCAP | JCAP 0705:019,2007 | 10.1088/1475-7516/2007/05/019 | CERN-PH-TH-2006-273 | hep-th astro-ph gr-qc hep-ph | null | Dark energy cosmologies with an equation of state parameter $w$ less than -1
are often found to violate the null energy condition and show unstable
behaviour. A solution to this problem may require the existence of a consistent
effective theory that violates the null energy condition only momentarily and
does not develop any instabilities or other pathological features for a late
time cosmology. A model which incorporates a dynamical scalar field $\phi$
coupled to the quadratic Riemann invariant of the Gauss-Bonnet form is a viable
proposal. Such an effective theory is shown to admit nonsingular cosmological
evolutions for a wide range of scalar-Gauss-Bonnet coupling. We discuss the
conditions for which our model yields observationally supported spectra of
scalar and tensor fluctuations, under cosmological perturbations. The model can
provide a reasonable explanation for the transition from matter dominance to
dark energy regime and the late time cosmic acceleration, offering an
interesting testing ground for investigations of the cosmological modified
gravity.
| [
{
"created": "Thu, 1 Feb 2007 20:52:43 GMT",
"version": "v1"
},
{
"created": "Wed, 23 May 2007 04:37:59 GMT",
"version": "v2"
}
] | 2009-04-22 | [
[
"Leith",
"Ben M.",
""
],
[
"Neupane",
"Ishwaree P.",
""
]
] | Dark energy cosmologies with an equation of state parameter $w$ less than -1 are often found to violate the null energy condition and show unstable behaviour. A solution to this problem may require the existence of a consistent effective theory that violates the null energy condition only momentarily and does not develop any instabilities or other pathological features for a late time cosmology. A model which incorporates a dynamical scalar field $\phi$ coupled to the quadratic Riemann invariant of the Gauss-Bonnet form is a viable proposal. Such an effective theory is shown to admit nonsingular cosmological evolutions for a wide range of scalar-Gauss-Bonnet coupling. We discuss the conditions for which our model yields observationally supported spectra of scalar and tensor fluctuations, under cosmological perturbations. The model can provide a reasonable explanation for the transition from matter dominance to dark energy regime and the late time cosmic acceleration, offering an interesting testing ground for investigations of the cosmological modified gravity. |
2208.13804 | Steven Abel | Steven Abel, Andrei Constantin, Thomas R. Harvey and Andre Lukas | Cosmic Inflation and Genetic Algorithms | 13 pages, 13 figures | null | 10.1002/prop.202200161 | IPPP/22/64 | hep-th astro-ph.CO hep-ph physics.comp-ph | http://creativecommons.org/licenses/by/4.0/ | Large classes of standard single-field slow-roll inflationary models
consistent with the required number of e-folds, the current bounds on the
spectral index of scalar perturbations, the tensor-to-scalar ratio, and the
scale of inflation can be efficiently constructed using genetic algorithms. The
setup is modular and can be easily adapted to include further phenomenological
constraints. A semi-comprehensive search for sextic polynomial potentials
results in roughly O(300,000) viable models for inflation. The analysis of this
dataset reveals a preference for models with a tensor-to-scalar ratio in the
range 0.0001 < r < 0.0004. We also consider potentials that involve cosine and
exponential terms. In the last part we explore more complex methods of search
relying on reinforcement learning and genetic programming. While reinforcement
learning proves more difficult to use in this context, the genetic programming
approach has the potential to uncover a multitude of viable inflationary models
with new functional forms.
| [
{
"created": "Mon, 29 Aug 2022 18:00:06 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Apr 2023 10:06:49 GMT",
"version": "v2"
}
] | 2023-04-04 | [
[
"Abel",
"Steven",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Harvey",
"Thomas R.",
""
],
[
"Lukas",
"Andre",
""
]
] | Large classes of standard single-field slow-roll inflationary models consistent with the required number of e-folds, the current bounds on the spectral index of scalar perturbations, the tensor-to-scalar ratio, and the scale of inflation can be efficiently constructed using genetic algorithms. The setup is modular and can be easily adapted to include further phenomenological constraints. A semi-comprehensive search for sextic polynomial potentials results in roughly O(300,000) viable models for inflation. The analysis of this dataset reveals a preference for models with a tensor-to-scalar ratio in the range 0.0001 < r < 0.0004. We also consider potentials that involve cosine and exponential terms. In the last part we explore more complex methods of search relying on reinforcement learning and genetic programming. While reinforcement learning proves more difficult to use in this context, the genetic programming approach has the potential to uncover a multitude of viable inflationary models with new functional forms. |
1407.8485 | Hiroaki Matsunaga | Hiroaki Matsunaga | Nonlinear gauge invariance and WZW-like action for NS-NS superstring
field theory | 24 pages; Published ver | JHEP 1509 (2015) 011 | 10.1007/JHEP09(2015)011 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We complete the construction of a gauge-invariant action for NS-NS
superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by
giving a closed-form expression for the action and nonlinear gauge
transformations. The action has the WZW-like form and vertices are given by a
pure-gauge solution of heterotic string field theory in the small Hilbert
space.
| [
{
"created": "Thu, 31 Jul 2014 16:40:37 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jul 2018 07:30:58 GMT",
"version": "v2"
}
] | 2018-07-17 | [
[
"Matsunaga",
"Hiroaki",
""
]
] | We complete the construction of a gauge-invariant action for NS-NS superstring field theory in the large Hilbert space begun in arXiv:1305.3893 by giving a closed-form expression for the action and nonlinear gauge transformations. The action has the WZW-like form and vertices are given by a pure-gauge solution of heterotic string field theory in the small Hilbert space. |
1907.08609 | Masaru Hongo | Masaru Hongo, Suro Kim, Toshifumi Noumi, Atsuhisa Ota | Effective Lagrangian for Nambu-Goldstone modes in nonequilibrium open
systems | 6 pages(+3 pages supplemental material), 1 figure | Phys. Rev. D 103, 056020 (2021) | 10.1103/PhysRevD.103.056020 | RIKEN-iTHEMS-Report-19, KOBE-COSMO-19-10 | hep-th cond-mat.quant-gas cond-mat.stat-mech hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the effective field theory of diffusive Nambu-Goldstone (NG) modes
associated with spontaneous internal symmetry breaking taking place in
nonequilibrium open systems. The effective Lagrangian describing semi-classical
dynamics of the NG modes is derived and matching conditions for low-energy
coefficients are also investigated. Due to new terms peculiar to open systems,
the associated NG modes show diffusive gapless behaviors in contrast to the
propagating NG mode in closed systems. We demonstrate two typical situations
relevant to the condensed matter physics and high-energy physics, where
diffusive type-A or type-B NG modes appear.
| [
{
"created": "Fri, 19 Jul 2019 17:59:43 GMT",
"version": "v1"
}
] | 2021-03-31 | [
[
"Hongo",
"Masaru",
""
],
[
"Kim",
"Suro",
""
],
[
"Noumi",
"Toshifumi",
""
],
[
"Ota",
"Atsuhisa",
""
]
] | We develop the effective field theory of diffusive Nambu-Goldstone (NG) modes associated with spontaneous internal symmetry breaking taking place in nonequilibrium open systems. The effective Lagrangian describing semi-classical dynamics of the NG modes is derived and matching conditions for low-energy coefficients are also investigated. Due to new terms peculiar to open systems, the associated NG modes show diffusive gapless behaviors in contrast to the propagating NG mode in closed systems. We demonstrate two typical situations relevant to the condensed matter physics and high-energy physics, where diffusive type-A or type-B NG modes appear. |
1412.0530 | Joel Lamy-Poirier | Joel Lamy-Poirier | Localization of a supersymmetric gauge theory in the presence of a
surface defect | 20 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use supersymmetric localization to compute the partition function of N=2
super-Yang-Mills on S^4 in the presence of a gauged linear sigma model surface
defect on a S^2 subspace. The result takes the form of a standard partition
function on S^4, with a modified instanton partition function and an additional
insertion corresponding to a shifted version of the gauged linear sigma model
partition function.
| [
{
"created": "Mon, 1 Dec 2014 16:24:29 GMT",
"version": "v1"
}
] | 2014-12-02 | [
[
"Lamy-Poirier",
"Joel",
""
]
] | We use supersymmetric localization to compute the partition function of N=2 super-Yang-Mills on S^4 in the presence of a gauged linear sigma model surface defect on a S^2 subspace. The result takes the form of a standard partition function on S^4, with a modified instanton partition function and an additional insertion corresponding to a shifted version of the gauged linear sigma model partition function. |
0904.0663 | Juan Maldacena | Luis F. Alday and Juan Maldacena | Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space | null | JHEP 0911:082,2009 | 10.1088/1126-6708/2009/11/082 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider minimal surfaces in three dimensional anti-de-Sitter space that
end at the AdS boundary on a polygon given by a sequence of null segments. The
problem can be reduced to a certain generalized Sinh-Gordon equation and to
SU(2) Hitchin equations. We describe in detail the mathematical problem that
needs to be solved. This problem is mathematically the same as the one studied
by Gaiotto, Moore and Neitzke in the context of the moduli space of certain
supersymmetric theories. Using their results we can find the explicit answer
for the area of a surface that ends on an eight-sided polygon. Via the
gauge/gravity duality this can also be interpreted as a certain eight-gluon
scattering amplitude at strong coupling. In addition, we give fairly explicit
solutions for regular polygons.
| [
{
"created": "Fri, 3 Apr 2009 22:17:58 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Oct 2009 22:26:47 GMT",
"version": "v2"
}
] | 2009-11-23 | [
[
"Alday",
"Luis F.",
""
],
[
"Maldacena",
"Juan",
""
]
] | We consider minimal surfaces in three dimensional anti-de-Sitter space that end at the AdS boundary on a polygon given by a sequence of null segments. The problem can be reduced to a certain generalized Sinh-Gordon equation and to SU(2) Hitchin equations. We describe in detail the mathematical problem that needs to be solved. This problem is mathematically the same as the one studied by Gaiotto, Moore and Neitzke in the context of the moduli space of certain supersymmetric theories. Using their results we can find the explicit answer for the area of a surface that ends on an eight-sided polygon. Via the gauge/gravity duality this can also be interpreted as a certain eight-gluon scattering amplitude at strong coupling. In addition, we give fairly explicit solutions for regular polygons. |
1608.00940 | Ansar Fayyazuddin | Ansar Fayyazuddin | Massive 3d Abelian gauge theories and electric-magnetic duality | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a model of massive photons with a parity invariant and non-local
mass term. We identify a discrete symmetry of the classical equations of motion
and show that this symmetry can be thought of as an electric-magnetic duality
valid only in the presence of a non-zero photon mass. We explore this duality
and discuss some features of the theory. We define notions of electric and
magnetic charge that can be computed in any spatial domain as a volume integral
of a density. These integrals can be transformed into integrals on the
boundary. For instance, the electric charge is given by the sum of the electric
flux through the boundary of the domain and a line integral of the dual gauge
field along that same boundary. We show that electric and magnetic charge is
quantized $q_mq_e = 2\pi n m_\gamma/e^2$, where $e$ is the coupling constant
and $m_\gamma$ is the mass of the photon. Classical field configurations
associated with external electric and magnetic charges as well as the classical
forces between electric and magnetic charges are computed.
| [
{
"created": "Tue, 2 Aug 2016 19:10:40 GMT",
"version": "v1"
}
] | 2016-08-03 | [
[
"Fayyazuddin",
"Ansar",
""
]
] | We study a model of massive photons with a parity invariant and non-local mass term. We identify a discrete symmetry of the classical equations of motion and show that this symmetry can be thought of as an electric-magnetic duality valid only in the presence of a non-zero photon mass. We explore this duality and discuss some features of the theory. We define notions of electric and magnetic charge that can be computed in any spatial domain as a volume integral of a density. These integrals can be transformed into integrals on the boundary. For instance, the electric charge is given by the sum of the electric flux through the boundary of the domain and a line integral of the dual gauge field along that same boundary. We show that electric and magnetic charge is quantized $q_mq_e = 2\pi n m_\gamma/e^2$, where $e$ is the coupling constant and $m_\gamma$ is the mass of the photon. Classical field configurations associated with external electric and magnetic charges as well as the classical forces between electric and magnetic charges are computed. |
hep-th/0010047 | Luiz Paulo Colatto | L.P. Colatto (IF/Unb), A.L.A. Penna (IF/Unb), C.M.M. Polito (DCP/CBPF) | On Finite Matrix Bi-Dimensional Formulation of $D=4n+2$ Classical Field
Models | 9 pages, LaTex, revised version | null | null | null | hep-th | null | We introduce a basis for a bi-dimensional finite matrix calculus and a
bi-dimensional finite matrix action principle. As an application, we analyze
scalar and spinorial fields in $D=4n+2$ in this approach. We verify that to
establish a bi-dimensional matrix action principle we have to define a
Dirac-algebra-modified Lebniz rule. From the bi-dimensional equations of
motion, we obtain a matrix holomorphic feature for massless matrix scalar and
spinorial fields.
| [
{
"created": "Fri, 6 Oct 2000 19:39:19 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Oct 2000 19:38:46 GMT",
"version": "v2"
},
{
"created": "Tue, 6 Mar 2001 18:32:23 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Colatto",
"L. P.",
"",
"IF/Unb"
],
[
"Penna",
"A. L. A.",
"",
"IF/Unb"
],
[
"Polito",
"C. M. M.",
"",
"DCP/CBPF"
]
] | We introduce a basis for a bi-dimensional finite matrix calculus and a bi-dimensional finite matrix action principle. As an application, we analyze scalar and spinorial fields in $D=4n+2$ in this approach. We verify that to establish a bi-dimensional matrix action principle we have to define a Dirac-algebra-modified Lebniz rule. From the bi-dimensional equations of motion, we obtain a matrix holomorphic feature for massless matrix scalar and spinorial fields. |
1407.0567 | Leo Medeiros Gouvea | C. A. M. de Melo, L. G. Medeiros and P. J. Pompeia | Causal Structure and Birefringence in Nonlinear Electrodynamics | 11 pages, no figures | MPLA, Vol 30, Iss 6, pp. 15500 (2015) | 10.1142/S021773231550025X | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the causal structure of general nonlinear electrodynamics and
determine which Lagrangians generate an effective metric conformal to
Minkowski. We also proof that there is only one analytic nonlinear
electrodynamics presenting no birefringence.
| [
{
"created": "Wed, 2 Jul 2014 13:54:20 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Jul 2014 19:45:00 GMT",
"version": "v2"
}
] | 2015-12-31 | [
[
"de Melo",
"C. A. M.",
""
],
[
"Medeiros",
"L. G.",
""
],
[
"Pompeia",
"P. J.",
""
]
] | We investigate the causal structure of general nonlinear electrodynamics and determine which Lagrangians generate an effective metric conformal to Minkowski. We also proof that there is only one analytic nonlinear electrodynamics presenting no birefringence. |
0711.4319 | S. G. Rajeev | S. G. Rajeev | A Hamilton-Jacobi Formalism for Thermodynamics | Minor typos fixed | AnnalsPhys.323:2265-2285,2008 | 10.1016/j.aop.2007.12.007 | null | hep-th cond-mat.stat-mech gr-qc math-ph math.DG math.DS math.MP | null | We show that classical thermodynamics has a formulation in terms of
Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic
variables come in conjugate pairs such as pressure/volume or
temperature/entropy, the phase space is odd-dimensional. For a system with n
thermodynamic degrees of freedom it is (2n+1)-dimensional. The equations of
state of a substance pick out an n-dimensional submanifold. A family of
substances whose equations of state depend on n parameters define a
hypersurface of co-dimension one. This can be described by the vanishing of a
function which plays the role of a Hamiltonian. The ordinary differential
equations (characteristic equations) defined by this function describe a
dynamical system on the hypersurface. Its orbits can be used to reconstruct the
equations of state. The `time' variable associated to this dynamics is related
to, but is not identical to, entropy. After developing this formalism on
well-grounded systems such as the van der Waals gases and the Curie-Weiss
magnets, we derive a Hamilton-Jacobi equation for black hole thermodynamics in
General Relativity. The cosmological constant appears as a constant of
integration in this picture.
| [
{
"created": "Tue, 27 Nov 2007 18:18:33 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Dec 2007 15:43:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rajeev",
"S. G.",
""
]
] | We show that classical thermodynamics has a formulation in terms of Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic variables come in conjugate pairs such as pressure/volume or temperature/entropy, the phase space is odd-dimensional. For a system with n thermodynamic degrees of freedom it is (2n+1)-dimensional. The equations of state of a substance pick out an n-dimensional submanifold. A family of substances whose equations of state depend on n parameters define a hypersurface of co-dimension one. This can be described by the vanishing of a function which plays the role of a Hamiltonian. The ordinary differential equations (characteristic equations) defined by this function describe a dynamical system on the hypersurface. Its orbits can be used to reconstruct the equations of state. The `time' variable associated to this dynamics is related to, but is not identical to, entropy. After developing this formalism on well-grounded systems such as the van der Waals gases and the Curie-Weiss magnets, we derive a Hamilton-Jacobi equation for black hole thermodynamics in General Relativity. The cosmological constant appears as a constant of integration in this picture. |
hep-th/0403182 | Alex Giacomini | Alex Giacomini | Classical Liouville Theory and the Microscopic Interpretation of Black
Hole Entropy | To appear on the proceedings of the 5.International Conference on
Symmetry in Nonlinear Mathematical Physics (Kyiv, Ukraine 23.-29.6.2003) | EconfC0306234:767-773,2003 | null | null | hep-th | null | In this paper we will give a general introduction to the role of conformal
symmetry in the microscopic interpretation of black hole entropy and then
compute the entropy of a Schwarzschild black hole by finding a classical
central charge of the Virasoro algebra of a Liouville theory and using the
Cardy formula.
| [
{
"created": "Thu, 18 Mar 2004 11:29:41 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Giacomini",
"Alex",
""
]
] | In this paper we will give a general introduction to the role of conformal symmetry in the microscopic interpretation of black hole entropy and then compute the entropy of a Schwarzschild black hole by finding a classical central charge of the Virasoro algebra of a Liouville theory and using the Cardy formula. |
hep-th/9507001 | Ryu Sasaki0774-31-7430 | S. Pratik Khastgir and Ryu Sasaki | Instability of Solitons in imaginary coupling affine Toda Field Theory | 17 pages, latex, no figures | Prog.Theor.Phys. 95 (1996) 485-502 | 10.1143/PTP.95.485 | YITP/U-95-22 | hep-th | null | Affine Toda field theory with a pure imaginary coupling constant is a
non-hermitian theory. Therefore the solutions of the equation of motion are
complex. However, in $1+1$ dimensions it has many soliton solutions with
remarkable properties, such as real total energy/momentum and mass. Several
authors calculated quantum mass corrections of the solitons by claiming these
solitons are stable. We show that there exists a large class of classical
solutions which develops singularity after a finite lapse of time. Stability
claims, in earlier literature, were made ignoring these solutions. Therefore we
believe that a formulation of quantum theory on a firmer basis is necessary in
general and for the quantum mass corrections of solitons, in particular.
| [
{
"created": "Mon, 3 Jul 1995 08:03:57 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Khastgir",
"S. Pratik",
""
],
[
"Sasaki",
"Ryu",
""
]
] | Affine Toda field theory with a pure imaginary coupling constant is a non-hermitian theory. Therefore the solutions of the equation of motion are complex. However, in $1+1$ dimensions it has many soliton solutions with remarkable properties, such as real total energy/momentum and mass. Several authors calculated quantum mass corrections of the solitons by claiming these solitons are stable. We show that there exists a large class of classical solutions which develops singularity after a finite lapse of time. Stability claims, in earlier literature, were made ignoring these solutions. Therefore we believe that a formulation of quantum theory on a firmer basis is necessary in general and for the quantum mass corrections of solitons, in particular. |
1005.3555 | Samir Mathur | Samir D. Mathur | Membrane paradigm realized? | 8 pages, Latex, 3 figures (Essay given second place in Gravity
Research Foundation essay competition 2010) | Gen.Rel.Grav.42:2331-2336,2010; Int.J.Mod.Phys.D19:2423-2428,2010 | 10.1007/s10714-010-1022-4 10.1142/S0218271810018530 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Are there any degrees of freedom on the black hole horizon? Using the
`membrane paradigm' we can reproduce coarse-grained physics outside the hole by
assuming a fictitious membrane just outside the horizon. But to solve the
information puzzle we need `real' degrees of freedom at the horizon, which can
modify Hawking's evolution of quantum modes. We argue that recent results on
gravitational microstates imply a set of real degrees of freedom just outside
the horizon; the state of the hole is a linear combination of rapidly
oscillating gravitational solutions with support concentrated just outside the
horizon radius. The collective behavior of these microstate solutions may give
a realization of the membrane paradigm, with the fictitious membrane now
replaced by real, explicit degrees of freedom.
| [
{
"created": "Wed, 19 May 2010 20:42:28 GMT",
"version": "v1"
}
] | 2011-01-25 | [
[
"Mathur",
"Samir D.",
""
]
] | Are there any degrees of freedom on the black hole horizon? Using the `membrane paradigm' we can reproduce coarse-grained physics outside the hole by assuming a fictitious membrane just outside the horizon. But to solve the information puzzle we need `real' degrees of freedom at the horizon, which can modify Hawking's evolution of quantum modes. We argue that recent results on gravitational microstates imply a set of real degrees of freedom just outside the horizon; the state of the hole is a linear combination of rapidly oscillating gravitational solutions with support concentrated just outside the horizon radius. The collective behavior of these microstate solutions may give a realization of the membrane paradigm, with the fictitious membrane now replaced by real, explicit degrees of freedom. |
1205.5036 | Curtis Tor Asplund | Curtis T. Asplund | Holographic entanglement entropy beyond coherent states | 5 pages, 1 figure, v2: minor corrections, a few added references and
grant information | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study entanglement entropy for a class of states in quantum field theory
that are entangled superpositions of coherent states with well-separated
supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the
contributions beyond the area law in a simple model. In the case of strongly
coupled conformal field theories, we argue that these states are
holographically dual to superpositions of bulk geometries. We note that for
these states one can use the Ryu-Takayanagi holographic entanglement entropy
formula to calculate some terms in the entanglement entropy, but that there can
be additional O(N^2) contributions. We argue that this class of states includes
those generated by local quenches and thus that these cannot be described by a
classical dual geometry. These considerations may be important for more fine
grained treatments of holographic thermalization.
| [
{
"created": "Tue, 22 May 2012 20:00:53 GMT",
"version": "v1"
},
{
"created": "Fri, 25 May 2012 18:14:05 GMT",
"version": "v2"
}
] | 2012-05-28 | [
[
"Asplund",
"Curtis T.",
""
]
] | We study entanglement entropy for a class of states in quantum field theory that are entangled superpositions of coherent states with well-separated supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the contributions beyond the area law in a simple model. In the case of strongly coupled conformal field theories, we argue that these states are holographically dual to superpositions of bulk geometries. We note that for these states one can use the Ryu-Takayanagi holographic entanglement entropy formula to calculate some terms in the entanglement entropy, but that there can be additional O(N^2) contributions. We argue that this class of states includes those generated by local quenches and thus that these cannot be described by a classical dual geometry. These considerations may be important for more fine grained treatments of holographic thermalization. |
hep-th/9209094 | Thordur Jonsson | B. Durhuus and T. Jonsson | On subdivision invariant actions for random surfaces | 7 pages, Latex, RH-08-92 and YITP/U-92-31 | Phys.Lett. B297 (1992) 271-274 | 10.1016/0370-2693(92)91261-7 | null | hep-th | null | We consider a subdivision invariant action for dynamically triangulated
random surfaces that was recently proposed (R.V. Ambartzumian et. al., Phys.
Lett. B 275 (1992) 99) and show that it is unphysical: The grand canonical
partition function is infinite for all values of the coupling constants. We
conjecture that adding the area action to the action of Ambartzumian et. al.
leads to a well-behaved theory.
| [
{
"created": "Thu, 24 Sep 1992 11:44:34 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Durhuus",
"B.",
""
],
[
"Jonsson",
"T.",
""
]
] | We consider a subdivision invariant action for dynamically triangulated random surfaces that was recently proposed (R.V. Ambartzumian et. al., Phys. Lett. B 275 (1992) 99) and show that it is unphysical: The grand canonical partition function is infinite for all values of the coupling constants. We conjecture that adding the area action to the action of Ambartzumian et. al. leads to a well-behaved theory. |
0803.0537 | Gilson Dallabona Dr. | O.A. Battistel, G. Dallabona, G. Krein | A predictive formulation of the Nambu--Jona-Lasinio model | 38 pages, 1 figure, To appear in Phy.Rev.D | Phys.Rev.D77:065025,2008 | 10.1103/PhysRevD.77.065025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A novel strategy to handle divergences typical of perturbative calculations
is implemented for the Nambu--Jona-Lasinio model and its phenomenological
consequences investigated. The central idea of the method is to avoid the
critical step involved in the regularization process, namely the explicit
evaluation of divergent integrals. This goal is achieved by assuming a
regularization distribution in an implicit way and making use, in intermediary
steps, only of very general properties of such regularization. The finite parts
are separated of the divergent ones and integrated free from effects of the
regularization. The divergent parts are organized in terms of standard objects
which are independent of the (arbitrary) momenta running in internal lines of
loop graphs. Through the analysis of symmetry relations, a set of properties
for the divergent objects are identified, which we denominate consistency
relations, reducing the number of divergent objects to only a few ones. The
calculational strategy eliminates unphysical dependencies of the arbitrary
choices for the routing of internal momenta, leading to ambiguity-free, and
symmetry-preserving physical amplitudes. We show that the imposition of scale
properties for the basic divergent objects leads to a critical condition for
the constituent quark mass such that the remaining arbitrariness is removed.
The model become predictive in the sense that its phenomenological consequences
do not depend on possible choices made in intermediary steps. Numerical results
are obtained for physical quantities at the one-loop level for the pion and
sigma masses and pion-quark and sigma-quark coupling constants.
| [
{
"created": "Tue, 4 Mar 2008 20:28:56 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Battistel",
"O. A.",
""
],
[
"Dallabona",
"G.",
""
],
[
"Krein",
"G.",
""
]
] | A novel strategy to handle divergences typical of perturbative calculations is implemented for the Nambu--Jona-Lasinio model and its phenomenological consequences investigated. The central idea of the method is to avoid the critical step involved in the regularization process, namely the explicit evaluation of divergent integrals. This goal is achieved by assuming a regularization distribution in an implicit way and making use, in intermediary steps, only of very general properties of such regularization. The finite parts are separated of the divergent ones and integrated free from effects of the regularization. The divergent parts are organized in terms of standard objects which are independent of the (arbitrary) momenta running in internal lines of loop graphs. Through the analysis of symmetry relations, a set of properties for the divergent objects are identified, which we denominate consistency relations, reducing the number of divergent objects to only a few ones. The calculational strategy eliminates unphysical dependencies of the arbitrary choices for the routing of internal momenta, leading to ambiguity-free, and symmetry-preserving physical amplitudes. We show that the imposition of scale properties for the basic divergent objects leads to a critical condition for the constituent quark mass such that the remaining arbitrariness is removed. The model become predictive in the sense that its phenomenological consequences do not depend on possible choices made in intermediary steps. Numerical results are obtained for physical quantities at the one-loop level for the pion and sigma masses and pion-quark and sigma-quark coupling constants. |
1602.03175 | Norma Susana Mankoc Borstnik | N.S. Mankoc Borstnik and H.B.F. Nielsen | Fermionization in an Arbitrary Number of Dimensions | 22 pages, revtex, This is the talk published in the Proceedings to
the $18^{th}$ Workshop "What Comes Beyond the Standard Models", Bled, 11-19
of July, 2015 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One purpose of this proceedings-contribution is to show that at least for
free massless particles it is possible to construct an explicit boson theory
which is exactly equivalent in terms of momenta and energy to a fermion theory.
The fermions come as $2^{d/2-1}$ families and the to this whole system of
fermions corresponding bosons come as a whole series of the Kalb-Ramond fields,
one set of components for each number of indexes on the tensor fields.
Since Kalb-Ramond fields naturally (only) couple to the extended objects or
branes, we suspect that inclusion of interaction into such for a bosonization
prepared system - except for the lowest dimensions - without including branes
or something like that is not likely to be possible.
The need for the families is easily seen just by using the theorem long ago
put forward by Aratyn and one of us (H.B.F.N.), which says that to have the
statistical mechanics of the fermion system and the boson system to match one
needs to have the number of the field components in the ratio
$\frac{2^{d-1}-1}{2^{d-1}}= \frac{\# bosons}{\# fermions}$, enforcing that the
number of fermion components must be a multiple of $2^{d-1}$, where $d$ is the
space-time dimension. This "explanation" of the number of dimension is
potentially useful for the explanation for the number of dimension put forward
by one of us (S.N.M.B.) since long in the spin-charge-family theory, and leads
like the latter to typically (a multiple of) $4$ families.
And this is the second purpose for our work on the fermionization in an
arbitrary number of dimensions - namely to learn how "natural" is the inclusion
of the families in the way the spin-charge-family theory does.
| [
{
"created": "Tue, 9 Feb 2016 09:53:51 GMT",
"version": "v1"
}
] | 2016-02-11 | [
[
"Borstnik",
"N. S. Mankoc",
""
],
[
"Nielsen",
"H. B. F.",
""
]
] | One purpose of this proceedings-contribution is to show that at least for free massless particles it is possible to construct an explicit boson theory which is exactly equivalent in terms of momenta and energy to a fermion theory. The fermions come as $2^{d/2-1}$ families and the to this whole system of fermions corresponding bosons come as a whole series of the Kalb-Ramond fields, one set of components for each number of indexes on the tensor fields. Since Kalb-Ramond fields naturally (only) couple to the extended objects or branes, we suspect that inclusion of interaction into such for a bosonization prepared system - except for the lowest dimensions - without including branes or something like that is not likely to be possible. The need for the families is easily seen just by using the theorem long ago put forward by Aratyn and one of us (H.B.F.N.), which says that to have the statistical mechanics of the fermion system and the boson system to match one needs to have the number of the field components in the ratio $\frac{2^{d-1}-1}{2^{d-1}}= \frac{\# bosons}{\# fermions}$, enforcing that the number of fermion components must be a multiple of $2^{d-1}$, where $d$ is the space-time dimension. This "explanation" of the number of dimension is potentially useful for the explanation for the number of dimension put forward by one of us (S.N.M.B.) since long in the spin-charge-family theory, and leads like the latter to typically (a multiple of) $4$ families. And this is the second purpose for our work on the fermionization in an arbitrary number of dimensions - namely to learn how "natural" is the inclusion of the families in the way the spin-charge-family theory does. |
1904.06339 | Hongliang Jiang | Ignatios Antoniadis, Hongliang Jiang, Osmin Lacombe | $\mathcal N=2$ Supersymmetry Deformations, Electromagnetic Duality and
Dirac-Born-Infeld Actions | 28 pages | null | 10.1007/JHEP07(2019)147 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the general deformation of $\mathcal N=2$ supersymmetry
transformations of a vector multiplet that forms a (constant) triplet under the
$SU(2)$ R-symmetry corresponding to the magnetic dual of the triplet of the
Fayet-Iliopoulos (FI) parameters. We show that in the presence of both
triplets, the induced scalar potential of a vector multiplet with generic
prepotential has always a minimum that realises partial breaking of $\mathcal
N=2\to \mathcal N=1$ supersymmetry. We then consider the impact of the
deformation in the Dirac-Born-Infeld (DBI) action where one supersymmetry is
non-linearly realised, described by a nilpotent constraint on the deformed
$\mathcal N=2$ chiral-chiral superfield. We show that the generic magnetic
deformation induces an ordinary FI D-term along the linear supersymmetry via
the theta-angle. Moreover, we argue that the resulting action differs on-shell
from the standard one (DBI+FI) by fermionic contributions.
| [
{
"created": "Fri, 12 Apr 2019 17:41:32 GMT",
"version": "v1"
},
{
"created": "Wed, 27 May 2020 10:25:33 GMT",
"version": "v2"
}
] | 2020-05-28 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Jiang",
"Hongliang",
""
],
[
"Lacombe",
"Osmin",
""
]
] | We study the general deformation of $\mathcal N=2$ supersymmetry transformations of a vector multiplet that forms a (constant) triplet under the $SU(2)$ R-symmetry corresponding to the magnetic dual of the triplet of the Fayet-Iliopoulos (FI) parameters. We show that in the presence of both triplets, the induced scalar potential of a vector multiplet with generic prepotential has always a minimum that realises partial breaking of $\mathcal N=2\to \mathcal N=1$ supersymmetry. We then consider the impact of the deformation in the Dirac-Born-Infeld (DBI) action where one supersymmetry is non-linearly realised, described by a nilpotent constraint on the deformed $\mathcal N=2$ chiral-chiral superfield. We show that the generic magnetic deformation induces an ordinary FI D-term along the linear supersymmetry via the theta-angle. Moreover, we argue that the resulting action differs on-shell from the standard one (DBI+FI) by fermionic contributions. |
hep-th/9607178 | Valter Moretti | Valter Moretti (Phys. Dept. Trento Univ. Italy) | Euclidean Thermal Green Functions of Photons in Generalized Euclidean
Rindler Spaces for any Feynman-like Gauge | 12 pages, standard latex, no figures, some signs changed, more
comments added, final version to appear on Int. J. Mod. Phys. A | Int.J.Mod.Phys. A12 (1997) 3787-3798 | 10.1142/S0217751X9700195X | preprint UTF-381 | hep-th gr-qc | null | The thermal Euclidean Green functions for Photons propagating in the Rindler
wedge are computed employing an Euclidean approach within any covariant
Feynman-like gauge. This is done by generalizing a formula which holds in the
Minkowskian case. The coincidence of the found $(\be=2\pi)$-Green functions and
the corresponding Minkowskian vacuum Green functions is discussed in relation
to the remaining static gauge ambiguity already found in previous papers.
Further generalizations to more complicated manifolds are discussed. Ward
identities are verified in the general case.
| [
{
"created": "Tue, 23 Jul 1996 09:37:39 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Nov 1996 17:19:27 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Moretti",
"Valter",
"",
"Phys. Dept. Trento Univ. Italy"
]
] | The thermal Euclidean Green functions for Photons propagating in the Rindler wedge are computed employing an Euclidean approach within any covariant Feynman-like gauge. This is done by generalizing a formula which holds in the Minkowskian case. The coincidence of the found $(\be=2\pi)$-Green functions and the corresponding Minkowskian vacuum Green functions is discussed in relation to the remaining static gauge ambiguity already found in previous papers. Further generalizations to more complicated manifolds are discussed. Ward identities are verified in the general case. |
1812.04034 | Apratim Kaviraj | Apratim Kaviraj, Miguel F. Paulos | The Functional Bootstrap for Boundary CFT | 57 Pages, 4 figures, references, minor corrections and some details
added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new approach to the study of the crossing equation for CFTs in
the presence of a boundary. We argue that there is a basis for this equation
related to the generalized free field solution. The dual basis is a set of
linear functionals which act on the crossing equation to give a set of sum
rules on the boundary CFT data: the functional bootstrap equations. We show
these equations are essentially equivalent to a Polyakov-type approach to the
bootstrap of BCFTs, and show how to fix the so-called contact term ambiguity in
that context. Finally, the functional bootstrap equations diagonalize
perturbation theory around generalized free fields, which we use to recover the
Wilson-Fisher BCFT data in the $\epsilon$-expansion to order $\epsilon^2$.
| [
{
"created": "Mon, 10 Dec 2018 19:17:14 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Nov 2019 15:22:18 GMT",
"version": "v2"
}
] | 2019-11-25 | [
[
"Kaviraj",
"Apratim",
""
],
[
"Paulos",
"Miguel F.",
""
]
] | We introduce a new approach to the study of the crossing equation for CFTs in the presence of a boundary. We argue that there is a basis for this equation related to the generalized free field solution. The dual basis is a set of linear functionals which act on the crossing equation to give a set of sum rules on the boundary CFT data: the functional bootstrap equations. We show these equations are essentially equivalent to a Polyakov-type approach to the bootstrap of BCFTs, and show how to fix the so-called contact term ambiguity in that context. Finally, the functional bootstrap equations diagonalize perturbation theory around generalized free fields, which we use to recover the Wilson-Fisher BCFT data in the $\epsilon$-expansion to order $\epsilon^2$. |
1612.08752 | Andrew Tolley | Nicholas A. Ondo, Andrew J. Tolley | Deconstructing Supergravity: Massive Supermultiplets | 37 pages. Typos corrected, references and points of clarification
added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given the success of the deconstruction program in obtaining ghost-free
massive gravity from 5-D Einstein gravity, we propose a modification of the
deconstruction procedure that incorporates supersymmetry at the linear level.
We discuss the relevant limits of a conjectured interacting theory of a massive
spin 2 supermultiplet, and determine the linear theory to be the N=1 Zinoviev
theory, a supersymmetric extension of Fierz-Pauli theory. We develop a family
of 1-site deconstruction procedures for fermionic fields (yielding Dirac and
Majorana mass terms). The deconstruction procedure appropriate for giving
fermions a Dirac mass is found to preserve half of the supersymmetry of the 5-D
theory. We explicitly check this by deconstructing 5-D N=2 super-Maxwell theory
down to 4-D N=1 super-Proca theory, and deconstructing linear 5-D N=2
supergravity down to 4-D N=1 Zinoviev theory, and derive the full 4-D
supersymmetry algebras and Stueckelberg symmetries from the 5-D superalgebras
and gauge symmetries, respectively. We conjecture that this procedure should
admit a generalization to fully non-linear theories.
| [
{
"created": "Tue, 27 Dec 2016 21:11:22 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Oct 2018 14:13:47 GMT",
"version": "v2"
}
] | 2018-10-15 | [
[
"Ondo",
"Nicholas A.",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | Given the success of the deconstruction program in obtaining ghost-free massive gravity from 5-D Einstein gravity, we propose a modification of the deconstruction procedure that incorporates supersymmetry at the linear level. We discuss the relevant limits of a conjectured interacting theory of a massive spin 2 supermultiplet, and determine the linear theory to be the N=1 Zinoviev theory, a supersymmetric extension of Fierz-Pauli theory. We develop a family of 1-site deconstruction procedures for fermionic fields (yielding Dirac and Majorana mass terms). The deconstruction procedure appropriate for giving fermions a Dirac mass is found to preserve half of the supersymmetry of the 5-D theory. We explicitly check this by deconstructing 5-D N=2 super-Maxwell theory down to 4-D N=1 super-Proca theory, and deconstructing linear 5-D N=2 supergravity down to 4-D N=1 Zinoviev theory, and derive the full 4-D supersymmetry algebras and Stueckelberg symmetries from the 5-D superalgebras and gauge symmetries, respectively. We conjecture that this procedure should admit a generalization to fully non-linear theories. |
hep-th/0106253 | Masako Asano | Masako Asano | Non-commutative branes in D-brane backgrounds | 16 pages, LaTeX | Int.J.Mod.Phys. A17 (2002) 4733-4748 | 10.1142/S0217751X0201100X | UT-948 | hep-th | null | We study Myers world-volume effective action of coincident D-branes. We
investigate a system of N_0 D0-branes in the geometry of Dp-branes with p=2 or
p=4. The choice of coordinates can make the action simplified and tractable.
For p=4, we show that a certain point-like D0-brane configuration solving
equations of motion of the action can expand to form a fuzzy two-sphere without
changing quantum numbers. We compare non-commutative D0-brane configurations
with dual spherical D(6-p)-brane systems. We also discuss the relation between
these configurations and giant gravitons in 11-dimensions.
| [
{
"created": "Wed, 27 Jun 2001 10:27:42 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2001 08:05:46 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Asano",
"Masako",
""
]
] | We study Myers world-volume effective action of coincident D-branes. We investigate a system of N_0 D0-branes in the geometry of Dp-branes with p=2 or p=4. The choice of coordinates can make the action simplified and tractable. For p=4, we show that a certain point-like D0-brane configuration solving equations of motion of the action can expand to form a fuzzy two-sphere without changing quantum numbers. We compare non-commutative D0-brane configurations with dual spherical D(6-p)-brane systems. We also discuss the relation between these configurations and giant gravitons in 11-dimensions. |
hep-th/0601069 | Dionisio Bazeia | V.I. Afonso, D. Bazeia, L. Losano | First-order formalism for bent brane | RevTex, 6 pages; version to appear in PLB | Phys.Lett. B634 (2006) 526-530 | 10.1016/j.physletb.2006.02.017 | null | hep-th gr-qc hep-ph | null | This work deals with braneworld scenarios in the presence of real scalar
field with standard dynamics. We show that the first-order formalism, which
exists in the case of flat brane, can be extended to bent brane, for both de
Sitter and anti-de Sitter geometry. We illustrate the results with some
examples of current interest to high energy physics.
| [
{
"created": "Wed, 11 Jan 2006 13:41:56 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2006 17:31:26 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Feb 2006 14:35:41 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Afonso",
"V. I.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
]
] | This work deals with braneworld scenarios in the presence of real scalar field with standard dynamics. We show that the first-order formalism, which exists in the case of flat brane, can be extended to bent brane, for both de Sitter and anti-de Sitter geometry. We illustrate the results with some examples of current interest to high energy physics. |
2005.09671 | Matteo Bertolini | Riccardo Argurio, Matteo Bertolini, Sebasti\'an Franco, Eduardo
Garc\'ia-Valdecasas, Shani Meynet, Antoine Pasternak, Valdo Tatitscheff | The Octagon and the Non-Supersymmetric String Landscape | 4 pages, 2 figures. v4: improvements in the presentation | null | 10.1016/j.physletb.2021.136153 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an orientifold of a toric singularity allowing for a configuration
of fractional branes which corresponds to a gauge theory that dynamically
breaks supersymmetry in a stable vacuum. This model represents the first such
instance within the gauge/gravity duality.
| [
{
"created": "Tue, 19 May 2020 18:01:49 GMT",
"version": "v1"
},
{
"created": "Sat, 6 Jun 2020 20:03:40 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Jul 2020 12:47:49 GMT",
"version": "v3"
},
{
"created": "Tue, 29 Sep 2020 21:01:39 GMT",
"version": "v4"
}
] | 2021-02-24 | [
[
"Argurio",
"Riccardo",
""
],
[
"Bertolini",
"Matteo",
""
],
[
"Franco",
"Sebastián",
""
],
[
"García-Valdecasas",
"Eduardo",
""
],
[
"Meynet",
"Shani",
""
],
[
"Pasternak",
"Antoine",
""
],
[
"Tatitscheff",
"Va... | We present an orientifold of a toric singularity allowing for a configuration of fractional branes which corresponds to a gauge theory that dynamically breaks supersymmetry in a stable vacuum. This model represents the first such instance within the gauge/gravity duality. |
0907.4917 | Stefan Leichenauer | Raphael Bousso, Stefan Leichenauer | Predictions from Star Formation in the Multiverse | 68 pages, 19 figures | Phys.Rev.D81:063524,2010 | 10.1103/PhysRevD.81.063524 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute trivariate probability distributions in the landscape, scanning
simultaneously over the cosmological constant, the primordial density contrast,
and spatial curvature. We consider two different measures for regulating the
divergences of eternal inflation, and three different models for observers. In
one model, observers are assumed to arise in proportion to the entropy produced
by stars; in the others, they arise at a fixed time (5 or 10 billion years)
after star formation. The star formation rate, which underlies all our observer
models, depends sensitively on the three scanning parameters. We employ a
recently developed model of star formation in the multiverse, a considerable
refinement over previous treatments of the astrophysical and cosmological
properties of different pocket universes. For each combination of observer
model and measure, we display all single and bivariate probability
distributions, both with the remaining parameter(s) held fixed, and
marginalized. Our results depend only weakly on the observer model but more
strongly on the measure. Using the causal diamond measure, the observed
parameter values (or bounds) lie within the central $2\sigma$ of nearly all
probability distributions we compute, and always within $3\sigma$. This success
is encouraging and rather nontrivial, considering the large size and dimension
of the parameter space. The causal patch measure gives similar results as long
as curvature is negligible. If curvature dominates, the causal patch leads to a
novel runaway: it prefers a negative value of the cosmological constant, with
the smallest magnitude available in the landscape.
| [
{
"created": "Tue, 28 Jul 2009 18:02:54 GMT",
"version": "v1"
}
] | 2010-04-29 | [
[
"Bousso",
"Raphael",
""
],
[
"Leichenauer",
"Stefan",
""
]
] | We compute trivariate probability distributions in the landscape, scanning simultaneously over the cosmological constant, the primordial density contrast, and spatial curvature. We consider two different measures for regulating the divergences of eternal inflation, and three different models for observers. In one model, observers are assumed to arise in proportion to the entropy produced by stars; in the others, they arise at a fixed time (5 or 10 billion years) after star formation. The star formation rate, which underlies all our observer models, depends sensitively on the three scanning parameters. We employ a recently developed model of star formation in the multiverse, a considerable refinement over previous treatments of the astrophysical and cosmological properties of different pocket universes. For each combination of observer model and measure, we display all single and bivariate probability distributions, both with the remaining parameter(s) held fixed, and marginalized. Our results depend only weakly on the observer model but more strongly on the measure. Using the causal diamond measure, the observed parameter values (or bounds) lie within the central $2\sigma$ of nearly all probability distributions we compute, and always within $3\sigma$. This success is encouraging and rather nontrivial, considering the large size and dimension of the parameter space. The causal patch measure gives similar results as long as curvature is negligible. If curvature dominates, the causal patch leads to a novel runaway: it prefers a negative value of the cosmological constant, with the smallest magnitude available in the landscape. |
1907.08599 | Jean-Fran\c{c}ois Fortin | Jean-Fran\c{c}ois Fortin, Valentina Prilepina, Witold Skiba | Conformal Three-Point Correlation Functions from the Operator Product
Expansion | 1+28 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to construct embedding space three-point functions for operators
in arbitrary Lorentz representations by employing the formalism developed in
arXiv:1905.00036 and arXiv:1905.00434. We study tensor structures that
intertwine the operators with the derivatives in the OPE and examine properties
of OPE coefficients under permutations of operators. Several examples are
worked out in detail. We point out that the group theoretic objects used in
this work can be applied directly to construct three-point functions without
any reference to the OPE.
| [
{
"created": "Fri, 19 Jul 2019 17:52:27 GMT",
"version": "v1"
}
] | 2019-07-22 | [
[
"Fortin",
"Jean-François",
""
],
[
"Prilepina",
"Valentina",
""
],
[
"Skiba",
"Witold",
""
]
] | We show how to construct embedding space three-point functions for operators in arbitrary Lorentz representations by employing the formalism developed in arXiv:1905.00036 and arXiv:1905.00434. We study tensor structures that intertwine the operators with the derivatives in the OPE and examine properties of OPE coefficients under permutations of operators. Several examples are worked out in detail. We point out that the group theoretic objects used in this work can be applied directly to construct three-point functions without any reference to the OPE. |
2303.01470 | Paul Romatschke | Scott Lawrence, Christian Peterson, Paul Romatschke and Ryan Weller | Instantons, analytic continuation, and $\mathcal{PT}$-symmetric field
theory | 12 pages, 4 figures; comments welcome! | null | null | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ordinary Hermitian $\lambda \phi^4$ theory is known to exist in $d<4$
dimensions when $\lambda>0$. For negative values of the coupling, it has been
suggested that a physical meaningful definition of the interacting theory can
be given in terms of ${\cal PT}$-symmetric field theory. In this work, we
critically re-examine the relation between analytically continued Hermitian
field theory with quartic interaction, and ${\cal PT}$-symmetric field theory,
including $O(N)$ models. We find that in general ${\cal PT}$-symmetric field
theory does not correspond to the analytic continuation of the Hermitian
theory, except at high temperature where the instanton contribution present in
the analytically continued theory can be neglected.
| [
{
"created": "Thu, 2 Mar 2023 18:30:40 GMT",
"version": "v1"
}
] | 2023-03-03 | [
[
"Lawrence",
"Scott",
""
],
[
"Peterson",
"Christian",
""
],
[
"Romatschke",
"Paul",
""
],
[
"Weller",
"Ryan",
""
]
] | Ordinary Hermitian $\lambda \phi^4$ theory is known to exist in $d<4$ dimensions when $\lambda>0$. For negative values of the coupling, it has been suggested that a physical meaningful definition of the interacting theory can be given in terms of ${\cal PT}$-symmetric field theory. In this work, we critically re-examine the relation between analytically continued Hermitian field theory with quartic interaction, and ${\cal PT}$-symmetric field theory, including $O(N)$ models. We find that in general ${\cal PT}$-symmetric field theory does not correspond to the analytic continuation of the Hermitian theory, except at high temperature where the instanton contribution present in the analytically continued theory can be neglected. |
hep-th/0012109 | Liu Yu-fen | Liu Yufen | Triality and Quantization of Singularities in Massive Fermion | latex, 10 pages | Commun.Theor.Phys. 34 (2000) 705-714 | null | null | hep-th math-ph math.MP | null | It is proved that fermions can acquire the mass through the additional
non-integrable exponential factor. For this propose the special vector
potential associated with the spinor field was introduced. Such a vector
potential has close relation with the triality property in Dirac spinors and
plays crucial role in the construction of massive term. It is shown that the
change in phase of a wavefunction round any closed curve with the possibility
of there being singularities in our vector potential will lead to the law of
quantization of physical constants including the mass. The triality properties
of Dirac's spinors are studied and it leads to a double covering vector
representation of Dirac spinor field. It is proved that massive Dirac equation
in the bosonic representation is self-dual.
| [
{
"created": "Wed, 13 Dec 2000 04:15:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yufen",
"Liu",
""
]
] | It is proved that fermions can acquire the mass through the additional non-integrable exponential factor. For this propose the special vector potential associated with the spinor field was introduced. Such a vector potential has close relation with the triality property in Dirac spinors and plays crucial role in the construction of massive term. It is shown that the change in phase of a wavefunction round any closed curve with the possibility of there being singularities in our vector potential will lead to the law of quantization of physical constants including the mass. The triality properties of Dirac's spinors are studied and it leads to a double covering vector representation of Dirac spinor field. It is proved that massive Dirac equation in the bosonic representation is self-dual. |
hep-th/9806050 | Ergin Sezgin | P.S. Howe and E. Sezgin | Anomaly-Free Tensor-Yang-Mills System and Its Dual Formulation | 14 pages, latex | Phys.Lett. B440 (1998) 50-58 | 10.1016/S0370-2693(98)01086-7 | null | hep-th | null | We consider the (1,0) supersymmetric Yang-Mills multiplet coupled to a
self-dual tensor multiplet in six dimensions. It is shown that the counterterm
required to cancel the one-loop gauge anomaly modifies the classical equations
of motion previously obtained by Bergshoeff, Sezgin and Sokatchev (BSS). We
discuss the supermultiplet structure of the anomalies exhibited in the
resulting equations of motion. The anomaly corrected field equations agree with
the global limit, recently obtained by Duff, Liu, Lu and Pope, of a matter
coupled supergravity theory in six dimensions. We also obtain the dual
formulation of the BSS model in which the tensor multiplet is free while the
field equations of the Yang-Mills multiplet contain the fields of the tensor
multiplet at the classical level.
| [
{
"created": "Fri, 5 Jun 1998 18:45:30 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Howe",
"P. S.",
""
],
[
"Sezgin",
"E.",
""
]
] | We consider the (1,0) supersymmetric Yang-Mills multiplet coupled to a self-dual tensor multiplet in six dimensions. It is shown that the counterterm required to cancel the one-loop gauge anomaly modifies the classical equations of motion previously obtained by Bergshoeff, Sezgin and Sokatchev (BSS). We discuss the supermultiplet structure of the anomalies exhibited in the resulting equations of motion. The anomaly corrected field equations agree with the global limit, recently obtained by Duff, Liu, Lu and Pope, of a matter coupled supergravity theory in six dimensions. We also obtain the dual formulation of the BSS model in which the tensor multiplet is free while the field equations of the Yang-Mills multiplet contain the fields of the tensor multiplet at the classical level. |
2202.08535 | George Pappas | Georgios P. D. Pappas | Integrable branes in generalized $\lambda$-deformations | 52 pages | null | 10.1007/JHEP06(2022)035 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We search for integrable boundary conditions and their geometric
interpretation as $D$-branes, in models constructed as generalized
$\lambda$-deformations of products of group- and coset-spaces. Using the
sigma-model approach, we find that all the conformal brane geometries known in
the literature for a product of WZW models solve the corresponding boundary
conditions, thus persisting as integrable branes along the RG flows of our
sigma-models. They consist of the well known $G$-conjugacy classes, twisted
$G$-conjugacy classes by a permutation automorphism (permutation branes) and
generalized permutation branes. Subsequently, we study the properties of the
aforementioned brane geometries, especially of those embedded in the
backgrounds interpolating between the UV and IR fixed points.
| [
{
"created": "Thu, 17 Feb 2022 09:25:21 GMT",
"version": "v1"
}
] | 2022-06-22 | [
[
"Pappas",
"Georgios P. D.",
""
]
] | We search for integrable boundary conditions and their geometric interpretation as $D$-branes, in models constructed as generalized $\lambda$-deformations of products of group- and coset-spaces. Using the sigma-model approach, we find that all the conformal brane geometries known in the literature for a product of WZW models solve the corresponding boundary conditions, thus persisting as integrable branes along the RG flows of our sigma-models. They consist of the well known $G$-conjugacy classes, twisted $G$-conjugacy classes by a permutation automorphism (permutation branes) and generalized permutation branes. Subsequently, we study the properties of the aforementioned brane geometries, especially of those embedded in the backgrounds interpolating between the UV and IR fixed points. |
hep-th/9909141 | Joel S. Rozowsky | Klaus Bering, Joel S. Rozowsky and Charles B. Thorn | QCD Fishnets Revisited | LaTeX, 38 pages, 24 figures - minor typos corrected & reference added
- version to appear in Phys. Rev. D | Phys.Rev. D61 (2000) 045007 | 10.1103/PhysRevD.61.045007 | UFIFT-HEP-99-15 | hep-th hep-ph | null | We look back at early efforts to approximate the large N_c Feynman diagrams
of QCD as very large fishnet diagrams. We consider more carefully the
uniqueness of rules for discretizing P^+ and ix^+ which fix the fishnet model
in the strong 't Hooft coupling limit, and we offer some refinements that allow
more of the crucial QCD interactions to be retained in the fishnet
approximation. This new discretization has a better chance to lead to a
physically sensible `bare QCD string' model. Not surprisingly the resulting
fishnet diagrams are both richer in structure and harder to evaluate than those
considered in older work. As warm-ups we analyze arbitrarily large fishnets of
a paradigm scalar cubic theory and very small fishnets of QCD.
| [
{
"created": "Mon, 20 Sep 1999 21:32:20 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Dec 1999 19:10:32 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bering",
"Klaus",
""
],
[
"Rozowsky",
"Joel S.",
""
],
[
"Thorn",
"Charles B.",
""
]
] | We look back at early efforts to approximate the large N_c Feynman diagrams of QCD as very large fishnet diagrams. We consider more carefully the uniqueness of rules for discretizing P^+ and ix^+ which fix the fishnet model in the strong 't Hooft coupling limit, and we offer some refinements that allow more of the crucial QCD interactions to be retained in the fishnet approximation. This new discretization has a better chance to lead to a physically sensible `bare QCD string' model. Not surprisingly the resulting fishnet diagrams are both richer in structure and harder to evaluate than those considered in older work. As warm-ups we analyze arbitrarily large fishnets of a paradigm scalar cubic theory and very small fishnets of QCD. |
1012.1958 | Andrey Sadofyev | A.V. Sadofyev, V.I. Shevchenko, V.I. Zakharov | Notes on chiral hydrodynamics within effective theory approach | null | Phys.Rev.D83:105025,2011 | 10.1103/PhysRevD.83.105025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the issue of evaluating chiral effects (such as the newly
discovered chiral separation) in hydrodynamic approximation. The main tool we
use is effective theory which defines interaction in terms of chemical
potentials $\mu,\mu_5$. In the lowest order in $\mu,\mu_5$ we reproduce recent
results based on thermodynamic considerations. In higher orders the results
depend on details of infrared cutoff. Another point of our interest is an
alternative way of the anomaly matching through introduction of effective
scalar fields arising in the hydrodynamic approximation.
| [
{
"created": "Thu, 9 Dec 2010 09:44:29 GMT",
"version": "v1"
}
] | 2011-06-07 | [
[
"Sadofyev",
"A. V.",
""
],
[
"Shevchenko",
"V. I.",
""
],
[
"Zakharov",
"V. I.",
""
]
] | We address the issue of evaluating chiral effects (such as the newly discovered chiral separation) in hydrodynamic approximation. The main tool we use is effective theory which defines interaction in terms of chemical potentials $\mu,\mu_5$. In the lowest order in $\mu,\mu_5$ we reproduce recent results based on thermodynamic considerations. In higher orders the results depend on details of infrared cutoff. Another point of our interest is an alternative way of the anomaly matching through introduction of effective scalar fields arising in the hydrodynamic approximation. |
hep-th/0406079 | Dimitri Polyakov | Dimitri Polyakov | Fluid Dynamics of NSR Strings | 24 pages Dedicated to the memory of Ian Kogan | Int.J.Mod.Phys. A20 (2005) 2603-2624 | 10.1142/S0217751X05020999 | null | hep-th physics.flu-dyn | null | We show that the renormalization group flows of the massless superstring
modes in the presence of fluctuating D-branes satisfy the equations of fluid
dynamics.In particular, we show that the D-brane's U(1) field is related to the
velocity function in the Navier-Stokes equation while the dilaton plays the
role of the passive scalar advected by the turbulent flow. This leads us to
suggest a possible isomorphism between the off-shell superstring theory in the
presence of fluctuating branes and the fluid mechanical degrees of freedom.
| [
{
"created": "Wed, 9 Jun 2004 16:31:51 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Polyakov",
"Dimitri",
""
]
] | We show that the renormalization group flows of the massless superstring modes in the presence of fluctuating D-branes satisfy the equations of fluid dynamics.In particular, we show that the D-brane's U(1) field is related to the velocity function in the Navier-Stokes equation while the dilaton plays the role of the passive scalar advected by the turbulent flow. This leads us to suggest a possible isomorphism between the off-shell superstring theory in the presence of fluctuating branes and the fluid mechanical degrees of freedom. |
1112.6303 | Rudra Prakash Malik | R. P. Malik | Abelian 3-form gauge theory: superfield approach | LaTeX file, 8 pages, Talk delivered at BLTP, JINR, Dubna, Moscow
Region, Russia | Physics of Particles and Nuclei 43: pp. 669-672 (2012) | 10.1134/S1063779612050243 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a D-dimensional Abelian 3-form gauge theory within the framework
of Bonora-Tonin's superfield formalism and derive the off-shell nilpotent and
absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST
symmetry transformations for this theory. To pay our homage to Victor I.
Ogievetsky (1928-1996), who was one of the inventors of Abelian 2-form
(antisymmetric tensor) gauge field, we go a step further and discuss the above
D-dimensional Abelian 3-form gauge theory within the framework of BRST
formalism and establish that the existence of the (anti-)BRST invariant
Curci-Ferrari (CF) type of restrictions is the hallmark of any arbitrary p-form
gauge theory (discussed within the framework of BRST formalism).
| [
{
"created": "Thu, 29 Dec 2011 13:26:32 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Aug 2012 13:28:46 GMT",
"version": "v2"
}
] | 2015-06-03 | [
[
"Malik",
"R. P.",
""
]
] | We discuss a D-dimensional Abelian 3-form gauge theory within the framework of Bonora-Tonin's superfield formalism and derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for this theory. To pay our homage to Victor I. Ogievetsky (1928-1996), who was one of the inventors of Abelian 2-form (antisymmetric tensor) gauge field, we go a step further and discuss the above D-dimensional Abelian 3-form gauge theory within the framework of BRST formalism and establish that the existence of the (anti-)BRST invariant Curci-Ferrari (CF) type of restrictions is the hallmark of any arbitrary p-form gauge theory (discussed within the framework of BRST formalism). |
1706.03917 | Sabrina Pasterski | Sabrina Pasterski, Shu-Heng Shao, Andrew Strominger | Gluon Amplitudes as 2d Conformal Correlators | 27 pages | Phys. Rev. D 96, 085006 (2017) | 10.1103/PhysRevD.96.085006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, spin-one wavefunctions in four dimensions that are conformal
primaries of the Lorentz group SL(2,C) were constructed. We compute low-point,
tree-level gluon scattering amplitudes in the space of these conformal primary
wavefunctions. The answers have the same conformal covariance as correlators of
spin-one primaries in a 2d CFT. The BCFW recursion relation between three- and
four-point gluon amplitudes is recast into this conformal basis.
| [
{
"created": "Tue, 13 Jun 2017 06:25:20 GMT",
"version": "v1"
}
] | 2017-11-01 | [
[
"Pasterski",
"Sabrina",
""
],
[
"Shao",
"Shu-Heng",
""
],
[
"Strominger",
"Andrew",
""
]
] | Recently, spin-one wavefunctions in four dimensions that are conformal primaries of the Lorentz group SL(2,C) were constructed. We compute low-point, tree-level gluon scattering amplitudes in the space of these conformal primary wavefunctions. The answers have the same conformal covariance as correlators of spin-one primaries in a 2d CFT. The BCFW recursion relation between three- and four-point gluon amplitudes is recast into this conformal basis. |
2005.13923 | J\'er\'emie Francfort | Claudia de Rham, J\'er\'emie Francfort, Jun Zhang | Black Hole Gravitational Waves in the Effective Field Theory of Gravity | 21 pages, 2 figures | Phys. Rev. D 102, 024079 (2020) | 10.1103/PhysRevD.102.024079 | Imperial/TP/2020/CdR/02 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the propagation of gravitational waves on a black hole
background within the low energy effective field theory of gravity, where
effects from heavy fields are captured by higher dimensional curvature
operators. Depending on the spin of the particles integrated out, the speed of
gravitational waves at low energy can be either superluminal or subluminal as
compared to the causal structure observed by other species. Interestingly
however, gravitational waves are always exactly luminal at the black hole
horizon, implying that the horizon is identically defined for all species. We
further compute the corrections on quasinormal frequencies caused by the higher
dimensional curvature operators and highlight the corrections arising from the
low energy effective field.
| [
{
"created": "Thu, 28 May 2020 11:41:37 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 2020 12:09:30 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jul 2020 21:06:11 GMT",
"version": "v3"
}
] | 2020-08-05 | [
[
"de Rham",
"Claudia",
""
],
[
"Francfort",
"Jérémie",
""
],
[
"Zhang",
"Jun",
""
]
] | We investigate the propagation of gravitational waves on a black hole background within the low energy effective field theory of gravity, where effects from heavy fields are captured by higher dimensional curvature operators. Depending on the spin of the particles integrated out, the speed of gravitational waves at low energy can be either superluminal or subluminal as compared to the causal structure observed by other species. Interestingly however, gravitational waves are always exactly luminal at the black hole horizon, implying that the horizon is identically defined for all species. We further compute the corrections on quasinormal frequencies caused by the higher dimensional curvature operators and highlight the corrections arising from the low energy effective field. |
hep-th/9906089 | Bert Schroer | Michael Duetsch, Bert Schroer | Massive Vector Mesons and Gauge Theory | 53 pages, version to appear in J. Phys. A | J.Phys.A33:4317,2000 | 10.1088/0305-4470/33/23/309 | DESY 99-144, SFB-288-393 | hep-th hep-ph | null | We show that the requirements of renormalizability and physical consistency
imposed on perturbative interactions of massive vector mesons fix the theory
essentially uniquely. In particular physical consistency demands the presence
of at least one additional physical degree of freedom which was not part of the
originally required physical particle content. In its simplest realization
(probably the only one) these are scalar fields as envisaged by Higgs but in
the present formulation without the ``symmetry-breaking Higgs condensate''. The
final result agrees precisely with the usual quantization of a classical gauge
theory by means of the Higgs mechanism. Our method proves an old conjecture of
Cornwall, Levin and Tiktopoulos stating that the renormalization and
consistency requirements of spin=1 particles lead to the gauge theory structure
(i.e. a kind of inverse of 't Hooft's famous renormalizability proof in
quantized gauge theories) which was based on the on-shell unitarity of the
$S$-matrix. We also speculate on a possible future ghostfree formulation which
avoids ''field coordinates'' altogether and is expected to reconcile the
on-shell S-matrix point of view with the off-shell field theory structure.
| [
{
"created": "Sun, 13 Jun 1999 21:06:43 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 1999 16:55:13 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Apr 2000 16:59:30 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Duetsch",
"Michael",
""
],
[
"Schroer",
"Bert",
""
]
] | We show that the requirements of renormalizability and physical consistency imposed on perturbative interactions of massive vector mesons fix the theory essentially uniquely. In particular physical consistency demands the presence of at least one additional physical degree of freedom which was not part of the originally required physical particle content. In its simplest realization (probably the only one) these are scalar fields as envisaged by Higgs but in the present formulation without the ``symmetry-breaking Higgs condensate''. The final result agrees precisely with the usual quantization of a classical gauge theory by means of the Higgs mechanism. Our method proves an old conjecture of Cornwall, Levin and Tiktopoulos stating that the renormalization and consistency requirements of spin=1 particles lead to the gauge theory structure (i.e. a kind of inverse of 't Hooft's famous renormalizability proof in quantized gauge theories) which was based on the on-shell unitarity of the $S$-matrix. We also speculate on a possible future ghostfree formulation which avoids ''field coordinates'' altogether and is expected to reconcile the on-shell S-matrix point of view with the off-shell field theory structure. |
hep-th/9707114 | Andras Szenes | Andras Szenes | Iterated Residues and Multiple Bernoulli Polynomials | 18 pages, the 1998 published version, Latex, uses diagrams.sty | Internat. Math. Res. Notices 1998, no. 18, 937--956 | null | null | hep-th alg-geom math.AG | null | We describe an effective method for calculating certain infinite sums,
generalizations of the classical Bernoulli polynomials. As shown by Edward
Witten in his papers on two-dimensional gauge theories, the correlation
functions of two-dimensional topological Yang-Mills theory (or intersection
numbers on moduli spaces of flat connections) can be given in the form of such
infinite sums. Thus, in particular, our results give finite expressions for
these correlation functions in the case of arbitrary compact structure groups
G.
| [
{
"created": "Fri, 11 Jul 1997 14:56:41 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Sep 2001 23:27:57 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Szenes",
"Andras",
""
]
] | We describe an effective method for calculating certain infinite sums, generalizations of the classical Bernoulli polynomials. As shown by Edward Witten in his papers on two-dimensional gauge theories, the correlation functions of two-dimensional topological Yang-Mills theory (or intersection numbers on moduli spaces of flat connections) can be given in the form of such infinite sums. Thus, in particular, our results give finite expressions for these correlation functions in the case of arbitrary compact structure groups G. |
1303.6940 | Angnis Schmidt-May | S. F. Hassan, Angnis Schmidt-May, Mikael von Strauss | Higher Derivative Gravity and Conformal Gravity From Bimetric and
Partially Massless Bimetric Theory | Latex, 34 pages; minor comments and note added, matches published
version | Universe 2015, 1(2), 92-122 | 10.3390/universe1020092 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we establish the correspondence between ghost-free bimetric
theory and a class of higher derivative gravity actions, including conformal
gravity and New Massive Gravity. We also characterize the relation between the
respective equations of motion and classical solutions. We illustrate that, in
this framework, the spin-2 ghost of higher derivative gravity is an artifact of
the truncation to a 4-derivative theory. The analysis also gives a relation
between the proposed partially massless (PM) bimetric theory and conformal
gravity, showing, in particular, the equivalence of their equations of motion
at the 4-derivative level. For the PM bimetric theory this provides further
evidence for the existence of an extra gauge symmetry and the associated loss
of a propagating mode away from de Sitter backgrounds. The new symmetry is an
extension of Weyl symmetry which also suggests the PM bimetric theory as a
ghost-free completion of conformal gravity.
| [
{
"created": "Wed, 27 Mar 2013 19:41:51 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 2015 12:24:53 GMT",
"version": "v2"
}
] | 2015-07-24 | [
[
"Hassan",
"S. F.",
""
],
[
"Schmidt-May",
"Angnis",
""
],
[
"von Strauss",
"Mikael",
""
]
] | In this paper we establish the correspondence between ghost-free bimetric theory and a class of higher derivative gravity actions, including conformal gravity and New Massive Gravity. We also characterize the relation between the respective equations of motion and classical solutions. We illustrate that, in this framework, the spin-2 ghost of higher derivative gravity is an artifact of the truncation to a 4-derivative theory. The analysis also gives a relation between the proposed partially massless (PM) bimetric theory and conformal gravity, showing, in particular, the equivalence of their equations of motion at the 4-derivative level. For the PM bimetric theory this provides further evidence for the existence of an extra gauge symmetry and the associated loss of a propagating mode away from de Sitter backgrounds. The new symmetry is an extension of Weyl symmetry which also suggests the PM bimetric theory as a ghost-free completion of conformal gravity. |
1107.3458 | Torsten Asselmeyer-Maluga | Torsten Asselmeyer-Maluga and Jerzy Krol | Constructing a quantum field theory from spacetime | 35 pages, 13 figures, svjour3 style | null | null | null | hep-th gr-qc math-ph math.GT math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper shows deep connections between exotic smoothings of a small R^4
(the spacetime), the leaf space of codimension-1 foliations (related to
noncommutative algebras) and quantization. At first we relate a small exotic
R^4 to codimension-1 foliations of the 3-sphere unique up to foliated
cobordisms and characterized by the real-valued Godbillon-Vey invariant.
Special care is taken for the integer case which is related to flat
PSL(2,R)-$bundles. Then we discuss the leaf space of the foliation using
noncommutative geometry. This leaf space contains the hyperfinite III_1 factor
of Araki and Woods important for quantum field theory (QFT) and the I_{\infty}
factor. Using Tomitas modular theory, one obtains a relation to a factor
II_{\infty} algebra given by the horocycle foliation of the unit tangent bundle
of a surface S of genus g>1. The relation to the exotic R^4 is used to
construct the (classical) observable algebra as Poisson algebra of functions
over the character variety of representations of the fundamental group
\pi_{1}(S) into the SL(2,C). The Turaev-Drinfeld quantization (as deformation
quantization) of this Poisson algebra is a (complex) skein algebra which is
isomorphic to the hyperfinite factor II_{1} algebra determining the factor
II_{\infty}=II_{1}\otimes I_{\infty} algebra of the horocycle foliation.
Therefore our geometrically motivated hyperfinite III_1 factor algebra comes
from the quantization of a Poisson algebra. Finally we discuss the states and
operators to be knots and knot concordances, respectively.
| [
{
"created": "Mon, 18 Jul 2011 14:48:25 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Asselmeyer-Maluga",
"Torsten",
""
],
[
"Krol",
"Jerzy",
""
]
] | The paper shows deep connections between exotic smoothings of a small R^4 (the spacetime), the leaf space of codimension-1 foliations (related to noncommutative algebras) and quantization. At first we relate a small exotic R^4 to codimension-1 foliations of the 3-sphere unique up to foliated cobordisms and characterized by the real-valued Godbillon-Vey invariant. Special care is taken for the integer case which is related to flat PSL(2,R)-$bundles. Then we discuss the leaf space of the foliation using noncommutative geometry. This leaf space contains the hyperfinite III_1 factor of Araki and Woods important for quantum field theory (QFT) and the I_{\infty} factor. Using Tomitas modular theory, one obtains a relation to a factor II_{\infty} algebra given by the horocycle foliation of the unit tangent bundle of a surface S of genus g>1. The relation to the exotic R^4 is used to construct the (classical) observable algebra as Poisson algebra of functions over the character variety of representations of the fundamental group \pi_{1}(S) into the SL(2,C). The Turaev-Drinfeld quantization (as deformation quantization) of this Poisson algebra is a (complex) skein algebra which is isomorphic to the hyperfinite factor II_{1} algebra determining the factor II_{\infty}=II_{1}\otimes I_{\infty} algebra of the horocycle foliation. Therefore our geometrically motivated hyperfinite III_1 factor algebra comes from the quantization of a Poisson algebra. Finally we discuss the states and operators to be knots and knot concordances, respectively. |
1406.0958 | Jan Louis | Mariana Grana, Jan Louis, Ulrich Theis, Daniel Waldram | Quantum Corrections in String Compactifications on SU(3) Structure
Geometries | 21 pages, major revision | JHEP 1501 (2015) 057 | 10.1007/JHEP01(2015)057 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate quantum corrections to the classical four-dimensional
low-energy effective action of type II string theory compactified on SU(3)
structure geometries. Various methods previously developed for Calabi-Yau
compactifications are adopted to determine - under some simple assumptions
about the low-energy degrees of freedom - the leading perturbative corrections
to the moduli space metrics in both alpha' and the string coupling constant. We
find - in complete analogy to the Calabi-Yau case - that the corrections take a
universal form dependent only on the Euler characteristic of the
six-dimensional compact space.
| [
{
"created": "Wed, 4 Jun 2014 07:24:05 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Dec 2014 07:46:25 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Grana",
"Mariana",
""
],
[
"Louis",
"Jan",
""
],
[
"Theis",
"Ulrich",
""
],
[
"Waldram",
"Daniel",
""
]
] | We investigate quantum corrections to the classical four-dimensional low-energy effective action of type II string theory compactified on SU(3) structure geometries. Various methods previously developed for Calabi-Yau compactifications are adopted to determine - under some simple assumptions about the low-energy degrees of freedom - the leading perturbative corrections to the moduli space metrics in both alpha' and the string coupling constant. We find - in complete analogy to the Calabi-Yau case - that the corrections take a universal form dependent only on the Euler characteristic of the six-dimensional compact space. |
1106.2611 | Gianguido Dall'Agata | Gianguido Dall'Agata | Black holes in supergravity: flow equations and duality | 49 pages, 12 pictures. To appear in the proceedings of SAM 2009/BOSS
2011. v2: references added and one figure replaced | Springer Proceedings in Physics, (2013) Vol. 142, p. 1-46 | null | DFPD-11/TH/07 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the physics of extremal black holes in supergravity theories,
emphasizing the role of the first order formalism underlying single-centre
solutions, the attractor mechanism and describing the recent progress in
constructing general non-supersymmetric multi-centre configurations.
| [
{
"created": "Tue, 14 Jun 2011 05:06:58 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jun 2011 16:46:14 GMT",
"version": "v2"
}
] | 2013-02-01 | [
[
"Dall'Agata",
"Gianguido",
""
]
] | We review the physics of extremal black holes in supergravity theories, emphasizing the role of the first order formalism underlying single-centre solutions, the attractor mechanism and describing the recent progress in constructing general non-supersymmetric multi-centre configurations. |
hep-th/0205010 | Hyun Seok Yang | Keun-Young Kim, Bum-Hoon Lee and Hyun Seok Yang | Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons | v3: 24 pages, Latex, corrected typos, references added, to appear in
Phys. Rev. D | Phys.Rev. D66 (2002) 025034 | 10.1103/PhysRevD.66.025034 | SOGANG-HEP 294/02 | hep-th | null | We study the bosonic and fermionic zero modes in noncommutative instanton
backgrounds based on the ADHM construction. In k instanton background in U(N)
gauge theory, we show how to explicitly construct 4Nk (2Nk) bosonic (fermionic)
zero modes in the adjoint representation and 2k (k) bosonic (fermionic) zero
modes in the fundamental representation from the ADHM construction. The number
of fermionic zero modes is also shown to be exactly equal to the Atiyah-Singer
index of the Dirac operator in the noncommutative instanton background. We
point out that (super)conformal zero modes in non-BPS instantons are affected
by the noncommutativity. The role of Lorentz symmetry breaking by the
noncommutativity is also briefly discussed to figure out the structure of U(1)
instantons.
| [
{
"created": "Wed, 1 May 2002 09:43:26 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2002 10:09:56 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Jun 2002 11:50:54 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kim",
"Keun-Young",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Yang",
"Hyun Seok",
""
]
] | We study the bosonic and fermionic zero modes in noncommutative instanton backgrounds based on the ADHM construction. In k instanton background in U(N) gauge theory, we show how to explicitly construct 4Nk (2Nk) bosonic (fermionic) zero modes in the adjoint representation and 2k (k) bosonic (fermionic) zero modes in the fundamental representation from the ADHM construction. The number of fermionic zero modes is also shown to be exactly equal to the Atiyah-Singer index of the Dirac operator in the noncommutative instanton background. We point out that (super)conformal zero modes in non-BPS instantons are affected by the noncommutativity. The role of Lorentz symmetry breaking by the noncommutativity is also briefly discussed to figure out the structure of U(1) instantons. |
2005.12866 | Hironori Hoshino | Sourav Bhattacharya, Shankhadeep Chakrabortty, Hironori Hoshino, and
Shagun Kaushal | Background magnetic field and quantum correlations in the Schwinger
effect | v2; 17 pages, 8 figures | Phys. Lett. B 811, (2020) 135875 | 10.1016/j.physletb.2020.135875 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we consider two complex scalar fields distinguished by their
masses coupled to constant background electric and magnetic fields in the
$(3+1)$-dimensional Minkowski spacetime and subsequently investigate a few
measures quantifying the quantum correlations between the created
particle-antiparticle Schwinger pairs. Since the background magnetic field
itself cannot cause the decay of the Minkowski vacuum, our chief motivation
here is to investigate the interplay between the effects due to the electric
and magnetic fields. We start by computing the entanglement entropy for the
vacuum state of a single scalar field. Second, we consider some maximally
entangled states for the two-scalar field system and compute the logarithmic
negativity and the mutual information. Qualitative differences of these results
pertaining to the charge content of the states are emphasised. Based upon these
results, we suggest some possible effects of a background magnetic field on the
degradation of entanglement between states in an accelerated frame, for charged
quantum fields.
| [
{
"created": "Tue, 26 May 2020 16:54:11 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Jul 2020 09:18:30 GMT",
"version": "v2"
}
] | 2020-10-26 | [
[
"Bhattacharya",
"Sourav",
""
],
[
"Chakrabortty",
"Shankhadeep",
""
],
[
"Hoshino",
"Hironori",
""
],
[
"Kaushal",
"Shagun",
""
]
] | In this work we consider two complex scalar fields distinguished by their masses coupled to constant background electric and magnetic fields in the $(3+1)$-dimensional Minkowski spacetime and subsequently investigate a few measures quantifying the quantum correlations between the created particle-antiparticle Schwinger pairs. Since the background magnetic field itself cannot cause the decay of the Minkowski vacuum, our chief motivation here is to investigate the interplay between the effects due to the electric and magnetic fields. We start by computing the entanglement entropy for the vacuum state of a single scalar field. Second, we consider some maximally entangled states for the two-scalar field system and compute the logarithmic negativity and the mutual information. Qualitative differences of these results pertaining to the charge content of the states are emphasised. Based upon these results, we suggest some possible effects of a background magnetic field on the degradation of entanglement between states in an accelerated frame, for charged quantum fields. |
1912.00744 | Agustin Sabio Vera | Agust\'in Sabio Vera | Double logarithms in ${\cal N} \geq 4$ supergravity: weak gravity and
Shapiro's time delay | 24 pages, 15 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A study of the double logarithmic in the center-of-mass energy, $s$,
contributions to the four-graviton scattering amplitude is presented for
four-dimensional ${\cal N} \geq 4$ supergravities. This includes a novel
representation for the coefficients of the perturbative expansion based on
exactly solvable recurrences. A review is given of the structure in the complex
angular momentum plane for the $t$-channel partial wave singularities of the
different amplitudes. Working in impact parameter representation, $\rho$, it is
shown that the resummation of double logarithms makes gravity weaker in regions
of small $\rho$ and large $s$. This screening of the gravitational interaction
at short distances in the double logarithmic sector of the amplitudes is more
acute as the number of gravitinos in the theory increases. It brings
corrections to the eikonal phase which can change the sign of the graviton's
deflection angle and generate regions with repulsive interaction. For very
small impact parameters there appears a constant negative shift in both the
eikonal phase and Shapiro's time delay which is not large enough to generate
causality violation.
| [
{
"created": "Mon, 2 Dec 2019 13:06:43 GMT",
"version": "v1"
}
] | 2019-12-03 | [
[
"Vera",
"Agustín Sabio",
""
]
] | A study of the double logarithmic in the center-of-mass energy, $s$, contributions to the four-graviton scattering amplitude is presented for four-dimensional ${\cal N} \geq 4$ supergravities. This includes a novel representation for the coefficients of the perturbative expansion based on exactly solvable recurrences. A review is given of the structure in the complex angular momentum plane for the $t$-channel partial wave singularities of the different amplitudes. Working in impact parameter representation, $\rho$, it is shown that the resummation of double logarithms makes gravity weaker in regions of small $\rho$ and large $s$. This screening of the gravitational interaction at short distances in the double logarithmic sector of the amplitudes is more acute as the number of gravitinos in the theory increases. It brings corrections to the eikonal phase which can change the sign of the graviton's deflection angle and generate regions with repulsive interaction. For very small impact parameters there appears a constant negative shift in both the eikonal phase and Shapiro's time delay which is not large enough to generate causality violation. |
0912.3705 | Anastasia Volovich | Dhritiman Nandan, Anastasia Volovich, Congkao Wen | A Grassmannian Etude in NMHV Minors | 17 pages | JHEP 1007:061,2010 | 10.1007/JHEP07(2010)061 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Arkani-Hamed, Cachazo, Cheung and Kaplan have proposed a Grassmannian
formulation for the S-matrix of N=4 Yang-Mills as an integral over link
variables. In parallel work, the connected prescription for computing tree
amplitudes in Witten's twistor string theory has also been written in terms of
link variables. In this paper we extend the six- and seven-point results of
arXiv:0909.0229 and arXiv:0909.0499 by providing a simple analytic proof of the
equivalence between the two formulas for all tree-level NMHV superamplitudes.
Also we note that a simple deformation of the connected prescription integrand
gives directly the ACCK Grassmannian integrand in the limit when the
deformation parameters equal zero.
| [
{
"created": "Fri, 18 Dec 2009 20:18:39 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Dec 2009 16:34:55 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Nandan",
"Dhritiman",
""
],
[
"Volovich",
"Anastasia",
""
],
[
"Wen",
"Congkao",
""
]
] | Arkani-Hamed, Cachazo, Cheung and Kaplan have proposed a Grassmannian formulation for the S-matrix of N=4 Yang-Mills as an integral over link variables. In parallel work, the connected prescription for computing tree amplitudes in Witten's twistor string theory has also been written in terms of link variables. In this paper we extend the six- and seven-point results of arXiv:0909.0229 and arXiv:0909.0499 by providing a simple analytic proof of the equivalence between the two formulas for all tree-level NMHV superamplitudes. Also we note that a simple deformation of the connected prescription integrand gives directly the ACCK Grassmannian integrand in the limit when the deformation parameters equal zero. |
hep-th/0111118 | Youm Donam | Donam Youm | A Varying-e Brane World Cosmology | 11 pages, LaTeX | Mod.Phys.Lett. A17 (2002) 175-184 | 10.1142/S021773230200628X | IC/2001/146 | hep-th gr-qc | null | We study a varying electric charge brane world cosmology in the RS2 model
obtained from a varying-speed-of-light brane world cosmology by redefining the
system of units. We elaborate conditions under which the flatness problem and
the cosmological constant problem can be resolved by such cosmological model.
| [
{
"created": "Tue, 13 Nov 2001 16:25:29 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Youm",
"Donam",
""
]
] | We study a varying electric charge brane world cosmology in the RS2 model obtained from a varying-speed-of-light brane world cosmology by redefining the system of units. We elaborate conditions under which the flatness problem and the cosmological constant problem can be resolved by such cosmological model. |
1105.6359 | Steven B. Giddings | Steven B. Giddings | Is string theory a theory of quantum gravity? | Invited contribution for "Forty Years of String Theory: Reflecting on
the Foundations," a special issue of Found. Phys., ed. by G 't Hooft, E.
Verlinde, D. Dieks, S. de Haro. 32 pages, 5 figs., harvmac. v2: final version
to appear in journal (small revisions) | null | 10.1007/s10701-011-9612-x | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some problems in finding a complete quantum theory incorporating gravity are
discussed. One is that of giving a consistent unitary description of
high-energy scattering. Another is that of giving a consistent quantum
description of cosmology, with appropriate observables. While string theory
addresses some problems of quantum gravity, its ability to resolve these
remains unclear. Answers may require new mechanisms and constructs, whether
within string theory, or in another framework.
| [
{
"created": "Tue, 31 May 2011 18:47:48 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Nov 2011 21:25:12 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Giddings",
"Steven B.",
""
]
] | Some problems in finding a complete quantum theory incorporating gravity are discussed. One is that of giving a consistent unitary description of high-energy scattering. Another is that of giving a consistent quantum description of cosmology, with appropriate observables. While string theory addresses some problems of quantum gravity, its ability to resolve these remains unclear. Answers may require new mechanisms and constructs, whether within string theory, or in another framework. |
hep-th/0611064 | Saharian | A.A. Saharian | Induced cosmological constant in braneworlds with warped internal spaces | 16 pages, talk presented at XXVII Encontro Nacional de Fisica de
Particulas e Campos, 24-28 September, 2006, Aguas de Lindoia, SP, Brazil | null | null | null | hep-th | null | We investigate the vacuum energy density induced by quantum fluctuations of a
bulk scalar field with general curvature coupling parameter on two codimension
one parallel branes in a $(D+1)$-dimensional background spacetime
${\mathrm{AdS}}_{D1+1}\times \Sigma $ with a warped internal space $\Sigma $.
It is assumed that on the branes the field obeys Robin boundary conditions.
Using the generalized zeta function technique in combination with contour
integral representations, the surface energies on the branes are presented in
the form of the sums of single brane and second brane induced parts. For the
geometry of a single brane both regions, on the left (L-region) and on the
right (R-region), of the brane are considered. The surface densities for
separate L- and R-regions contain pole and finite contributions. For an
infinitely thin brane taking these regions together, in odd spatial dimensions
the pole parts cancel and the total surface energy is finite. The parts in the
surface densities generated by the presence of the second brane are finite for
all nonzero values of the interbrane separation. The contribution of the
Kaluza-Klein modes along $\Sigma $ is investigated in various limiting cases.
It is shown that for large distances between the branes the induced surface
densities give rise to an exponentially suppressed cosmological constant on the
brane. In the higher dimensional generalization of the Randall-Sundrum
braneworld model, for the interbrane distances solving the hierarchy problem,
the cosmological constant generated on the visible brane is of the right order
of magnitude with the value suggested by the cosmological observations.
| [
{
"created": "Mon, 6 Nov 2006 17:20:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Saharian",
"A. A.",
""
]
] | We investigate the vacuum energy density induced by quantum fluctuations of a bulk scalar field with general curvature coupling parameter on two codimension one parallel branes in a $(D+1)$-dimensional background spacetime ${\mathrm{AdS}}_{D1+1}\times \Sigma $ with a warped internal space $\Sigma $. It is assumed that on the branes the field obeys Robin boundary conditions. Using the generalized zeta function technique in combination with contour integral representations, the surface energies on the branes are presented in the form of the sums of single brane and second brane induced parts. For the geometry of a single brane both regions, on the left (L-region) and on the right (R-region), of the brane are considered. The surface densities for separate L- and R-regions contain pole and finite contributions. For an infinitely thin brane taking these regions together, in odd spatial dimensions the pole parts cancel and the total surface energy is finite. The parts in the surface densities generated by the presence of the second brane are finite for all nonzero values of the interbrane separation. The contribution of the Kaluza-Klein modes along $\Sigma $ is investigated in various limiting cases. It is shown that for large distances between the branes the induced surface densities give rise to an exponentially suppressed cosmological constant on the brane. In the higher dimensional generalization of the Randall-Sundrum braneworld model, for the interbrane distances solving the hierarchy problem, the cosmological constant generated on the visible brane is of the right order of magnitude with the value suggested by the cosmological observations. |
hep-th/9608148 | null | HoSeong La | Dilatations Revisited | 24 pages, latex, no figures, typos corrected | null | null | MIT-CTP-2557 | hep-th hep-ph | null | Dilatation, i.e. scale, symmetry in the presence of the dilaton in Minkowski
space is derived from diffeomorphism symmetry in curved spacetime,
incorporating the volume-preserving diffeomorphisms. The conditions for scale
invariance are derived and their relation to conformal invariance is examined.
In the presence of the dilaton scale invariance automatically guarantees
conformal invariance due to diffeomorphism symmetry. Low energy scale-invariant
phenomenological Lagrangians are derived in terms of dilaton-dressed fields,
which are identified as the fields satisfying the usual scaling properties. The
notion of spontaneous scale symmetry breaking is defined in the presence of the
dilaton. In this context, possible phenomenological implications are advocated
and by computing the dilaton mass the idea of PCDC (partially conserved
dilatation current) is further explored.
| [
{
"created": "Thu, 22 Aug 1996 01:32:55 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Feb 1997 19:00:37 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"La",
"HoSeong",
""
]
] | Dilatation, i.e. scale, symmetry in the presence of the dilaton in Minkowski space is derived from diffeomorphism symmetry in curved spacetime, incorporating the volume-preserving diffeomorphisms. The conditions for scale invariance are derived and their relation to conformal invariance is examined. In the presence of the dilaton scale invariance automatically guarantees conformal invariance due to diffeomorphism symmetry. Low energy scale-invariant phenomenological Lagrangians are derived in terms of dilaton-dressed fields, which are identified as the fields satisfying the usual scaling properties. The notion of spontaneous scale symmetry breaking is defined in the presence of the dilaton. In this context, possible phenomenological implications are advocated and by computing the dilaton mass the idea of PCDC (partially conserved dilatation current) is further explored. |
hep-th/0610037 | Shijong Ryang | Shijong Ryang | Three-Spin Giant Magnons in AdS_5xS^5 | 12 pages, LaTeX, no figures | JHEP0612:043,2006 | 10.1088/1126-6708/2006/12/043 | null | hep-th | null | From the Polyakov string action using a conformal gauge we construct a
three-spin giant magnon solution describing a long open string in AdS_5 \times
S^5 which rotates both in two angular directions of S^5 and in one angular
direction of AdS_5. Through the Virasoro constraints the string motion in AdS_5
takes an effect from the string configuration in S^5. The dispersion relation
of the soliton solution is obtained as a superposition of two bound states of
magnons. We show that there is a correspondence between a special giant magnon
in AdS_2 and the sinh-Gordon soliton.
| [
{
"created": "Tue, 3 Oct 2006 02:39:14 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Ryang",
"Shijong",
""
]
] | From the Polyakov string action using a conformal gauge we construct a three-spin giant magnon solution describing a long open string in AdS_5 \times S^5 which rotates both in two angular directions of S^5 and in one angular direction of AdS_5. Through the Virasoro constraints the string motion in AdS_5 takes an effect from the string configuration in S^5. The dispersion relation of the soliton solution is obtained as a superposition of two bound states of magnons. We show that there is a correspondence between a special giant magnon in AdS_2 and the sinh-Gordon soliton. |
hep-th/9912284 | Igor Pesando | Igor Pesando | On the Gauge Fixing of the k Symmetry on AdS and Flat Background: the
Lightcone Action for the Type IIb String on AdS_{5} X S_{5} | 12+1 pages, latex, no figures | Phys.Lett.B485:246-254,2000 | 10.1016/S0370-2693(00)00702-4 | DFTT-01-00 | hep-th | null | We explore all the possible ways of fixing the kappa symmetry for both branes
and strings by means of a constant projector. We find that they can be
classified according to their behaviour under Dirac conjugation and
conjugation. This latter controls the maximum power of the fermionic variables
in which the (super)vielbein can be expanded while the former determines which
states cannot be described in the gauge. In particular there exists an
interesting class of projectors for which vielbein are at most quadratic in the
fermionic variables. As an example we compute the action for the type IIb on a
AdS_{5} X S_{5} background with a lightcone-like projector; this action reduces
to the usual lightcone GS string action in the flat limit.
| [
{
"created": "Fri, 31 Dec 1999 00:01:29 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Jan 2000 19:34:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Pesando",
"Igor",
""
]
] | We explore all the possible ways of fixing the kappa symmetry for both branes and strings by means of a constant projector. We find that they can be classified according to their behaviour under Dirac conjugation and conjugation. This latter controls the maximum power of the fermionic variables in which the (super)vielbein can be expanded while the former determines which states cannot be described in the gauge. In particular there exists an interesting class of projectors for which vielbein are at most quadratic in the fermionic variables. As an example we compute the action for the type IIb on a AdS_{5} X S_{5} background with a lightcone-like projector; this action reduces to the usual lightcone GS string action in the flat limit. |
0712.2216 | Amir H. Fatollahi | H. Komaie-Moghaddam, M. Khorrami, A.H. Fatollahi | Loop diagrams in space with SU(2) fuzziness | v1: 12 pages, LaTeX, submitted PLB, v2: missing 2\pi is restored in
4-point function; last paragraph improved | Phys.Lett.B661:226-232,2008 | 10.1016/j.physletb.2008.02.002 | null | hep-th | null | The structure of loop corrections is examined in a scalar field theory on a
three dimensional space whose spatial coordinates are noncommutative and
satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in
$\phi^4$ scalar theory are calculated at the 1-loop order. The theory is
UV-finite as the momentum space is compact. It is shown that the non-planar
corrections are proportional to a one dimensional $\delta$-function, rather
than a three dimensional one, so that in transition rates only the planar
corrections contribute.
| [
{
"created": "Thu, 13 Dec 2007 18:55:00 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 2008 07:09:00 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Komaie-Moghaddam",
"H.",
""
],
[
"Khorrami",
"M.",
""
],
[
"Fatollahi",
"A. H.",
""
]
] | The structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in $\phi^4$ scalar theory are calculated at the 1-loop order. The theory is UV-finite as the momentum space is compact. It is shown that the non-planar corrections are proportional to a one dimensional $\delta$-function, rather than a three dimensional one, so that in transition rates only the planar corrections contribute. |
2308.03577 | Weijie Tian | Jun Nian and Weijie Tian | Gravitational Waves of Non-Extremal Kerr Black Holes from Conformal
Symmetry | 20 pages, no figures | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | In the low-energy limit, the near region of a generic Kerr black hole has
been conjectured to be holographically dual to a two-dimensional conformal
field theory. In this paper, we consider a test object in a circular orbit near
the horizon of a non-extremal Kerr black hole. We first couple it to a massless
scalar field. The resulting scalar radiation at the horizon is computed from
the perspectives of gravity and dual conformal field theory. Considering the
influence of nonzero temperature, the agreement of both computations is found.
Then, we generalize the analysis to the gravitational radiation and find
agreement again. The agreement supports the conjectured holography and provides
a potential theoretical tool for gravitational wave computations.
| [
{
"created": "Mon, 7 Aug 2023 13:34:36 GMT",
"version": "v1"
}
] | 2023-08-08 | [
[
"Nian",
"Jun",
""
],
[
"Tian",
"Weijie",
""
]
] | In the low-energy limit, the near region of a generic Kerr black hole has been conjectured to be holographically dual to a two-dimensional conformal field theory. In this paper, we consider a test object in a circular orbit near the horizon of a non-extremal Kerr black hole. We first couple it to a massless scalar field. The resulting scalar radiation at the horizon is computed from the perspectives of gravity and dual conformal field theory. Considering the influence of nonzero temperature, the agreement of both computations is found. Then, we generalize the analysis to the gravitational radiation and find agreement again. The agreement supports the conjectured holography and provides a potential theoretical tool for gravitational wave computations. |
2203.08829 | Monica Jinwoo Kang | Jacques Distler, Monica Jinwoo Kang, and Craig Lawrie | Distinguishing 6d (1,0) SCFTs: an extension to the geometric
construction | 28 pages+references, 1 figure, Journal published version | Phys.Rev.D 106 (2022) 6, 066011 | 10.1103/PhysRevD.106.066011 | CALT-TH-2022-012, DESY-22-044, UTTG 03-2022 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide a new extension to the geometric construction of 6d $(1,0)$ SCFTs
that encapsulates Higgs branch structures with identical global symmetry but
different spectra. In particular, we find that there exist distinct 6d $(1,0)$
SCFTs that may appear to share their tensor branch description, flavor symmetry
algebras, and central charges. For example, such subtleties arise for the very
even nilpotent Higgsing of $(\mathfrak{so}_{4k}, \mathfrak{so}_{4k})$ conformal
matter; we propose a method to predict at which conformal dimension the Higgs
branch operators of the two theories differ via augmenting the tensor branch
description with the Higgs branch chiral ring generators of the building block
theories. Torus compactifications of these 6d $(1,0)$ SCFTs give rise to 4d
$\mathcal{N}=2$ SCFTs of class $\mathcal{S}$ and the Higgs branch of such 4d
theories are captured via the Hall--Littlewood index. We confirm that the
resulting 4d theories indeed differ in their spectra in the predicted conformal
dimension from their Hall--Littlewood indices. We highlight how this ambiguity
in the tensor branch description arises beyond the very even nilpotent Higgsing
of $(\mathfrak{so}_{4k}, \mathfrak{so}_{4k})$ conformal matter, and hence
should be understood for more general classes of 6d $(1,0)$ SCFTs.
| [
{
"created": "Wed, 16 Mar 2022 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Nov 2022 01:05:47 GMT",
"version": "v2"
}
] | 2022-11-29 | [
[
"Distler",
"Jacques",
""
],
[
"Kang",
"Monica Jinwoo",
""
],
[
"Lawrie",
"Craig",
""
]
] | We provide a new extension to the geometric construction of 6d $(1,0)$ SCFTs that encapsulates Higgs branch structures with identical global symmetry but different spectra. In particular, we find that there exist distinct 6d $(1,0)$ SCFTs that may appear to share their tensor branch description, flavor symmetry algebras, and central charges. For example, such subtleties arise for the very even nilpotent Higgsing of $(\mathfrak{so}_{4k}, \mathfrak{so}_{4k})$ conformal matter; we propose a method to predict at which conformal dimension the Higgs branch operators of the two theories differ via augmenting the tensor branch description with the Higgs branch chiral ring generators of the building block theories. Torus compactifications of these 6d $(1,0)$ SCFTs give rise to 4d $\mathcal{N}=2$ SCFTs of class $\mathcal{S}$ and the Higgs branch of such 4d theories are captured via the Hall--Littlewood index. We confirm that the resulting 4d theories indeed differ in their spectra in the predicted conformal dimension from their Hall--Littlewood indices. We highlight how this ambiguity in the tensor branch description arises beyond the very even nilpotent Higgsing of $(\mathfrak{so}_{4k}, \mathfrak{so}_{4k})$ conformal matter, and hence should be understood for more general classes of 6d $(1,0)$ SCFTs. |
0907.3233 | Betti Hartmann | Yves Brihaye (Universite de Mons, Belgium) and Betti Hartmann (Jacobs
University Bremen, Germany) | The effect of dark strings on semilocal strings | 16 pages including 6 figures; stability analysis added | null | 10.1103/PhysRevD.80.123502 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dark strings have recently been suggested to exist in new models of dark
matter that explain the excessive electronic production in the galaxy. We study
the interaction of these dark strings with semilocal strings which are
solutions of the bosonic sector of the Standard Model in the limit
$\sin^2\theta_{\rm w}=1$, where $\theta_{\rm w}$ is the Weinberg angle. While
embedded Abelian-Higgs strings exist for generic values of the coupling
constants, we show that semilocal solutions with non-vanishing condensate
inside the string core exist only above a critical value of the Higgs to gauge
boson mass ratio when interacting with dark strings. Above this critical value,
which is greater than unity, the energy per unit length of the semilocal-dark
string solutions is always smaller than that of the embedded Abelian-Higgs-dark
string solutions and we show that Abelian-Higgs-dark strings become unstable
above this critical value. Different from the non-interacting case, we would
thus expect semilocal strings to be stable for values of the Higgs to gauge
boson mass ratio larger than unity. Moreover, the one-parameter family of
solutions present in the non-interacting case ceases to exist when semilocal
strings interact with dark strings.
| [
{
"created": "Sat, 18 Jul 2009 17:36:18 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Aug 2009 10:25:31 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Brihaye",
"Yves",
"",
"Universite de Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"Jacobs\n University Bremen, Germany"
]
] | Dark strings have recently been suggested to exist in new models of dark matter that explain the excessive electronic production in the galaxy. We study the interaction of these dark strings with semilocal strings which are solutions of the bosonic sector of the Standard Model in the limit $\sin^2\theta_{\rm w}=1$, where $\theta_{\rm w}$ is the Weinberg angle. While embedded Abelian-Higgs strings exist for generic values of the coupling constants, we show that semilocal solutions with non-vanishing condensate inside the string core exist only above a critical value of the Higgs to gauge boson mass ratio when interacting with dark strings. Above this critical value, which is greater than unity, the energy per unit length of the semilocal-dark string solutions is always smaller than that of the embedded Abelian-Higgs-dark string solutions and we show that Abelian-Higgs-dark strings become unstable above this critical value. Different from the non-interacting case, we would thus expect semilocal strings to be stable for values of the Higgs to gauge boson mass ratio larger than unity. Moreover, the one-parameter family of solutions present in the non-interacting case ceases to exist when semilocal strings interact with dark strings. |
hep-th/9412209 | Gabriel Cardoso | Gabriel Lopes Cardoso, Dieter L\"ust and Thomas Mohaupt | Threshold Corrections and Symmetry Enhancement in String
Compactifications | 68 pages (equations 8.16 and 8.17 corrected; added footnotes 4,5,11) | Nucl.Phys.B450:115-173,1995 | 10.1016/0550-3213(95)00315-J | HUB-IEP-94/50 | hep-th | null | We present the computation of threshold functions for Abelian orbifold
compactifications. Specifically, starting from the massive, moduli-dependent
string spectrum after compactification, we derive the threshold functions as
target space duality invariant free energies (sum over massive string states).
In particular we work out the dependence on the continuous Wilson line moduli
fields. In addition we concentrate on the physically interesting effect that at
certain critical points in the orbifold moduli spaces additional massless
states appear in the string spectrum leading to logarithmic singularities in
the threshold functions. We discuss this effect for the gauge coupling
threshold corrections; here the appearance of additional massless states is
directly related to the Higgs effect in string theory. In addition the
singularities in the threshold functions are relevant for the loop corrections
to the gravitational coupling constants.
| [
{
"created": "Fri, 23 Dec 1994 09:52:44 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 1995 18:13:11 GMT",
"version": "v2"
}
] | 2016-08-14 | [
[
"Cardoso",
"Gabriel Lopes",
""
],
[
"Lüst",
"Dieter",
""
],
[
"Mohaupt",
"Thomas",
""
]
] | We present the computation of threshold functions for Abelian orbifold compactifications. Specifically, starting from the massive, moduli-dependent string spectrum after compactification, we derive the threshold functions as target space duality invariant free energies (sum over massive string states). In particular we work out the dependence on the continuous Wilson line moduli fields. In addition we concentrate on the physically interesting effect that at certain critical points in the orbifold moduli spaces additional massless states appear in the string spectrum leading to logarithmic singularities in the threshold functions. We discuss this effect for the gauge coupling threshold corrections; here the appearance of additional massless states is directly related to the Higgs effect in string theory. In addition the singularities in the threshold functions are relevant for the loop corrections to the gravitational coupling constants. |
hep-th/9203043 | null | S.Kharchev, A.Marshakov, A.Mironov, A.Morozov | Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix
Models | 46 p | Nucl.Phys. B397 (1993) 339-378 | 10.1016/0550-3213(93)90347-R | null | hep-th | null | We represent the partition function of the Generalized Kontsevich Model (GKM)
in the form of a Toda lattice $\tau$-function and discuss various implications
of non-vanishing "negative"- and "zero"-time variables: the appear to modify
the original GKM action by negative-power and logarithmic contributions
respectively. It is shown that so deformed $\tau$-function satisfies the same
string equation as the original one. In the case of quadratic potential GKM
turns out to describe {\it forced} Toda chain hierarchy and, thus, corresponds
to a {\it discrete} matrix model, with the role of the matrix size played by
the zero-time (at integer positive points). This relation allows one to discuss
the double-scaling continuum limit entirely in terms of GKM, $i.e.$ essentially
in terms of {\it finite}-fold integrals.
| [
{
"created": "Wed, 18 Mar 1992 02:56:44 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Kharchev",
"S.",
""
],
[
"Marshakov",
"A.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | We represent the partition function of the Generalized Kontsevich Model (GKM) in the form of a Toda lattice $\tau$-function and discuss various implications of non-vanishing "negative"- and "zero"-time variables: the appear to modify the original GKM action by negative-power and logarithmic contributions respectively. It is shown that so deformed $\tau$-function satisfies the same string equation as the original one. In the case of quadratic potential GKM turns out to describe {\it forced} Toda chain hierarchy and, thus, corresponds to a {\it discrete} matrix model, with the role of the matrix size played by the zero-time (at integer positive points). This relation allows one to discuss the double-scaling continuum limit entirely in terms of GKM, $i.e.$ essentially in terms of {\it finite}-fold integrals. |
1912.01577 | Robin Karlsson | Robin Karlsson | Multi-stress tensors and next-to-leading singularities in the Regge
limit | 36 pages, harvmac. v2: references added. v3: Minor typos corrected | null | 10.1007/JHEP08(2020)037 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The stress tensor sector of a heavy-heavy-light-light scalar correlator in
CFTs with a large central charge and a large gap is defined by the exchange of
multi-stress tensor operators. The Regge limit of this correlator is determined
by the phase shift of a highly energetic particle propagating in a dual black
hole background. Assuming Einstein gravity in the bulk, the phase shift is
known perturbatively to all orders in the ratio of the heavy scaling dimension
over the central charge. In the CFT, the order counts the number of stress
tensors in the multi-stress tensor operator. By Fourier transforming the
correlator to position space, the multi-stress tensor contributions to the
leading and next-to-leading singularities in the Regge limit are found to all
orders in four dimensions. The leading singularity at each order agrees with
known results obtained by considering a particle in a dual shockwave
background. Moreover, the leading and next-to-leading singularities due to
double- and triple-stress tensors with minimal twist are known from lightcone
bootstrap and agree with the results derived from the phase shift.
| [
{
"created": "Tue, 3 Dec 2019 18:21:04 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2020 15:39:04 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Jul 2020 14:49:12 GMT",
"version": "v3"
}
] | 2020-08-26 | [
[
"Karlsson",
"Robin",
""
]
] | The stress tensor sector of a heavy-heavy-light-light scalar correlator in CFTs with a large central charge and a large gap is defined by the exchange of multi-stress tensor operators. The Regge limit of this correlator is determined by the phase shift of a highly energetic particle propagating in a dual black hole background. Assuming Einstein gravity in the bulk, the phase shift is known perturbatively to all orders in the ratio of the heavy scaling dimension over the central charge. In the CFT, the order counts the number of stress tensors in the multi-stress tensor operator. By Fourier transforming the correlator to position space, the multi-stress tensor contributions to the leading and next-to-leading singularities in the Regge limit are found to all orders in four dimensions. The leading singularity at each order agrees with known results obtained by considering a particle in a dual shockwave background. Moreover, the leading and next-to-leading singularities due to double- and triple-stress tensors with minimal twist are known from lightcone bootstrap and agree with the results derived from the phase shift. |
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