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/9812041 | Taichi Itoh | Taichi Itoh and Hiroshi Kato | Magnetization and dynamically induced finite densities in
three-dimensional Chern-Simons QED | 47 pages, 5 figures, revtex; revised for publication in Nucl. Phys.
B, added some references in section 1 and corrected typos | Nucl.Phys.B551:723-769,1999 | 10.1016/S0550-3213(99)00209-6 | DPNU-98-20 | hep-th cond-mat.stat-mech cond-mat.str-el hep-lat hep-ph | null | In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous
magnetization occurs in the context of finite density vacua, which are the
lowest Landau levels fully or half occupied by fermions. Charge condensation is
shown to appear so as to complement the fermion anti-fermion condensate, which
breaks the flavor U(2N) symmetry and causes fermion mass generation. The
solutions to the Schwinger-Dyson gap equation show that the fermion self-energy
contributes to the induction of a finite fermion density and/or fermion mass.
The magnetization can be supported by charge condensation for theories with the
Chern-Simons coefficient $\kappa=N e^2/2 \pi$, and $\kappa=N e^2/4 \pi$, under
the Gauss law constraint. For $\kappa=N e^2/4 \pi$, both the magnetic field and
the fermion mass are simultaneously generated in the half-filled ground state,
which breaks the U(2N) symmetry as well as the Lorentz symmetry.
| [
{
"created": "Fri, 4 Dec 1998 13:52:48 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Dec 1998 07:42:51 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Apr 1999 17:44:56 GMT",
"version": "v3"
}
] | 2011-06-16 | [
[
"Itoh",
"Taichi",
""
],
[
"Kato",
"Hiroshi",
""
]
] | In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to appear so as to complement the fermion anti-fermion condensate, which breaks the flavor U(2N) symmetry and causes fermion mass generation. The solutions to the Schwinger-Dyson gap equation show that the fermion self-energy contributes to the induction of a finite fermion density and/or fermion mass. The magnetization can be supported by charge condensation for theories with the Chern-Simons coefficient $\kappa=N e^2/2 \pi$, and $\kappa=N e^2/4 \pi$, under the Gauss law constraint. For $\kappa=N e^2/4 \pi$, both the magnetic field and the fermion mass are simultaneously generated in the half-filled ground state, which breaks the U(2N) symmetry as well as the Lorentz symmetry. |
2107.02814 | Ivano Basile | Ivano Basile | Supersymmetry Breaking and Stability in String Vacua: brane dynamics,
bubbles and the swampland | 106 pages, to appear in La Rivista del Nuovo Cimento. v2: references
added. arXiv admin note: text overlap with arXiv:1908.04352 | La Rivista del Nuovo Cimento (2021), 1-98 | 10.1007/s40766-021-00024-9 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We review some aspects of the dramatic consequences of supersymmetry breaking
on string vacua. In particular, we focus on the issue of vacuum stability in
ten-dimensional string models with broken, or without, supersymmetry, whose
perturbative spectra are free of tachyons. After formulating the models at
stake, we introduce their unified low-energy effective description and present
a number of vacuum solutions to the classical equations of motion. In addition,
we present a generalization of previous no-go results for de Sitter vacua in
warped flux compactifications. Then we analyze the classical and quantum
stability of these vacua, studying linearized field fluctuations and bubble
nucleation. Then, we describe how the resulting instabilities can be framed in
terms of brane dynamics, examining in particular brane interactions,
back-reacted geometries and commenting on a brane-world string construction
along the lines of a recent proposal. After providing a summary, we conclude
with some perspectives on possible future developments.
| [
{
"created": "Tue, 6 Jul 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 2021 23:17:17 GMT",
"version": "v2"
}
] | 2021-08-05 | [
[
"Basile",
"Ivano",
""
]
] | We review some aspects of the dramatic consequences of supersymmetry breaking on string vacua. In particular, we focus on the issue of vacuum stability in ten-dimensional string models with broken, or without, supersymmetry, whose perturbative spectra are free of tachyons. After formulating the models at stake, we introduce their unified low-energy effective description and present a number of vacuum solutions to the classical equations of motion. In addition, we present a generalization of previous no-go results for de Sitter vacua in warped flux compactifications. Then we analyze the classical and quantum stability of these vacua, studying linearized field fluctuations and bubble nucleation. Then, we describe how the resulting instabilities can be framed in terms of brane dynamics, examining in particular brane interactions, back-reacted geometries and commenting on a brane-world string construction along the lines of a recent proposal. After providing a summary, we conclude with some perspectives on possible future developments. |
hep-th/0007070 | Yueh-Nan Chen | Jen-Chi Lee | Fermionic zero-norm states and enlarged supersymmetries of Type II
string | 13 pages | Eur.Phys.J.C13:691-694,2000 | 10.1007/s100520050728 | null | hep-th | null | We calculate the NS-R fermionic zero-norm states of type II string spectrum.
The massless and some possible massive zero-norm states are identified to be
responsible for the space-time supersymmetry. The existence of other fermionic
massive zero-norm states with higher spinor-tensor indices correspond to new
enlarged boson-fermion symmetries of the theory at high energy. We also discuss
the R-R charges and R-R zero-norm states and justify that perturbative string
does not carry the massless R-R charges. However, the existence of some massive
R-R zero-norm states make us speculate that string may carry some massive R-R
charges.
| [
{
"created": "Sun, 9 Jul 2000 14:47:14 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jul 2000 15:30:59 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Jul 2000 12:31:50 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Jul 2000 12:46:57 GMT",
"version": "v4"
}
] | 2011-09-13 | [
[
"Lee",
"Jen-Chi",
""
]
] | We calculate the NS-R fermionic zero-norm states of type II string spectrum. The massless and some possible massive zero-norm states are identified to be responsible for the space-time supersymmetry. The existence of other fermionic massive zero-norm states with higher spinor-tensor indices correspond to new enlarged boson-fermion symmetries of the theory at high energy. We also discuss the R-R charges and R-R zero-norm states and justify that perturbative string does not carry the massless R-R charges. However, the existence of some massive R-R zero-norm states make us speculate that string may carry some massive R-R charges. |
1108.3067 | Simon F. Ross | Harry Braviner, Ruth Gregory and Simon F. Ross | Flows involving Lifshitz solutions | 38 pages, 17 figures, v2: reference added | null | 10.1088/0264-9381/28/22/225028 | DCPT-11/41 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct gravity solutions describing renormalization group flows
relating relativistic and non-relativistic conformal theories. We work both in
a simple phenomenological theory with a massive vector field, and in an N=4,
d=6 gauged supergravity theory, which can be consistently embedded in string
theory. These flows offer some further insight into holography for Lifshitz
geometries: in particular, they enable us to give a description of the field
theory dual to the Lifshitz solutions in the latter theory. We also note that
some of the AdS and Lifshitz solutions in the N=4, d=6 gauged supergravity
theory are dynamically unstable.
| [
{
"created": "Mon, 15 Aug 2011 19:33:44 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Sep 2011 10:31:11 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Braviner",
"Harry",
""
],
[
"Gregory",
"Ruth",
""
],
[
"Ross",
"Simon F.",
""
]
] | We construct gravity solutions describing renormalization group flows relating relativistic and non-relativistic conformal theories. We work both in a simple phenomenological theory with a massive vector field, and in an N=4, d=6 gauged supergravity theory, which can be consistently embedded in string theory. These flows offer some further insight into holography for Lifshitz geometries: in particular, they enable us to give a description of the field theory dual to the Lifshitz solutions in the latter theory. We also note that some of the AdS and Lifshitz solutions in the N=4, d=6 gauged supergravity theory are dynamically unstable. |
1010.1502 | Dimitrios Giataganas | Dimitrios Giataganas | Semiclassical strings in marginally deformed toric AdS/CFT | 29 pages, 9 figures | null | 10.1007/JHEP12(2011)051 | WITS-CTP-057 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study string solutions in the beta-deformed Sasaki-Einstein gauge/gravity
dualities. We find that the BPS point-like strings move in the submanifolds
where the two U(1) circles shrink to zero size. In the corresponding T^3
fibration description, the strings live on the edges of the polyhedron, where
the T^3 fibration degenerates to T^1. Moreover, we find that for each deformed
Sasaki-Einstein manifold the BPS string solutions exist only for particular
values of the deformation parameter. Our results imply that in the dual field
theory the corresponding BPS operators exist only for these particular values
of the deformation parameter we find. We also examine the non-BPS strings,
derive their dispersion relations and compare them with the undeformed ones.
Finally, we comment on the range of the validity of our solutions and their
dependence on the deformation parameter.
| [
{
"created": "Thu, 7 Oct 2010 18:09:56 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Giataganas",
"Dimitrios",
""
]
] | We study string solutions in the beta-deformed Sasaki-Einstein gauge/gravity dualities. We find that the BPS point-like strings move in the submanifolds where the two U(1) circles shrink to zero size. In the corresponding T^3 fibration description, the strings live on the edges of the polyhedron, where the T^3 fibration degenerates to T^1. Moreover, we find that for each deformed Sasaki-Einstein manifold the BPS string solutions exist only for particular values of the deformation parameter. Our results imply that in the dual field theory the corresponding BPS operators exist only for these particular values of the deformation parameter we find. We also examine the non-BPS strings, derive their dispersion relations and compare them with the undeformed ones. Finally, we comment on the range of the validity of our solutions and their dependence on the deformation parameter. |
hep-th/9810090 | Klemm Dietmar | Dietmar Klemm (University of Trento, Italy) | BPS Black Holes in Gauged N=4, D=4 Supergravity | 19 pages, RevTeX, no figures, minor errors corrected, 2 references
added, final version to appear in Nucl. Phys. B | Nucl.Phys. B545 (1999) 461-478 | 10.1016/S0550-3213(98)00866-9 | UTF 423 | hep-th gr-qc | null | We find solutions of the bosonic sector of gauged N=4, D=4 SU(2) $\times$
SU(2) supergravity, which represent dilaton black holes with toroidal or
spherical event horizons. The axion is consistently truncated, and the gauge
group is broken to U(1) $\times$ U(1). The spherical black holes carry two
electric and two magnetic abelian charges, whereas the toroidal holes have
vanishing magnetic charges. The spacetime metrics are warped products, and the
manifolds turn out to be globally hyperbolic, in contrast to standard gauged
supergravity ground states. It is shown that in the toroidal case, there are
solutions preserving one quarter or one half of the supersymmetries, while for
spherical topologies all supersymmetries are broken. In general, the toroidal
BPS states represent naked singularities, but there is also a supersymmetric
black hole with vanishing Hawking temperature. The 1/2 supersymmetric case
arises for vanishing charges and mass, and represents the known domain wall
solution of the Freedman-Schwarz model. It provides the background in which the
black holes live. Finally, we use Chamseddine's and Volkov's Kaluza-Klein
interpretation of gauged N=4, D=4 SU(2) $\times$ SU(2) supergravity to lift our
solutions to ten and eleven dimensions and to consider them as solutions to the
leading order equations of motion of the string-/M-theory effective action.
| [
{
"created": "Tue, 13 Oct 1998 16:52:30 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 1998 19:52:09 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jan 1999 18:40:15 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Klemm",
"Dietmar",
"",
"University of Trento, Italy"
]
] | We find solutions of the bosonic sector of gauged N=4, D=4 SU(2) $\times$ SU(2) supergravity, which represent dilaton black holes with toroidal or spherical event horizons. The axion is consistently truncated, and the gauge group is broken to U(1) $\times$ U(1). The spherical black holes carry two electric and two magnetic abelian charges, whereas the toroidal holes have vanishing magnetic charges. The spacetime metrics are warped products, and the manifolds turn out to be globally hyperbolic, in contrast to standard gauged supergravity ground states. It is shown that in the toroidal case, there are solutions preserving one quarter or one half of the supersymmetries, while for spherical topologies all supersymmetries are broken. In general, the toroidal BPS states represent naked singularities, but there is also a supersymmetric black hole with vanishing Hawking temperature. The 1/2 supersymmetric case arises for vanishing charges and mass, and represents the known domain wall solution of the Freedman-Schwarz model. It provides the background in which the black holes live. Finally, we use Chamseddine's and Volkov's Kaluza-Klein interpretation of gauged N=4, D=4 SU(2) $\times$ SU(2) supergravity to lift our solutions to ten and eleven dimensions and to consider them as solutions to the leading order equations of motion of the string-/M-theory effective action. |
2401.04706 | Zhuo-Yu Xian | Yuxuan Liu, Shao-Kai Jian, Yi Ling and Zhuo-Yu Xian | Entanglement inside a black hole before the Page time | 31 pages, 10 figures, major revision, published version | JHEP 07 (2024) 043 | 10.1007/JHEP07(2024)043 | null | hep-th cond-mat.str-el gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the evolution of entanglement within an open, strongly coupled
system interacting with a heat bath as its environment, in the frameworks of
both the doubly holographic model and the Sachdev-Ye-Kitaev (SYK) model.
Generally, the entanglement within the system initially increases due to
internal interactions; however, it eventually dissipates into the environment.
In the doubly holographic setup, we consider an end-of-the-world brane in the
bulk to represent an eternal black hole coupled with its radiation and the
evolution of the global thermofield double (TFD) state. For small black holes,
the reflected entropy between the bipartition exhibits a ramp-plateau-slump
behavior, where the plateau arises due to the phase transition of the
entanglement wedge cross-section before the Page time. Similarly, the mutual
information between the bipartition displays a ramp-slop-stabilizing behavior.
In quantum mechanics, we consider a double copy of the SYK-plus-bath system in
a global TFD state, resembling an eternal black hole interacting with an
environment. The R\'enyi mutual information within the double-copied SYK
clusters exhibits a ramp-plateau-slope-stabilizing behavior. The dynamic
behaviors of the entanglement quantities observed in these two models are
attributable to the competition between the internal interaction of the system
and the external interaction with the baths. Our study provides a fine-grained
picture of the entanglement dynamics inside black holes before their Page time.
| [
{
"created": "Tue, 9 Jan 2024 18:09:00 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jan 2024 15:11:46 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Aug 2024 11:05:40 GMT",
"version": "v3"
}
] | 2024-08-13 | [
[
"Liu",
"Yuxuan",
""
],
[
"Jian",
"Shao-Kai",
""
],
[
"Ling",
"Yi",
""
],
[
"Xian",
"Zhuo-Yu",
""
]
] | We investigate the evolution of entanglement within an open, strongly coupled system interacting with a heat bath as its environment, in the frameworks of both the doubly holographic model and the Sachdev-Ye-Kitaev (SYK) model. Generally, the entanglement within the system initially increases due to internal interactions; however, it eventually dissipates into the environment. In the doubly holographic setup, we consider an end-of-the-world brane in the bulk to represent an eternal black hole coupled with its radiation and the evolution of the global thermofield double (TFD) state. For small black holes, the reflected entropy between the bipartition exhibits a ramp-plateau-slump behavior, where the plateau arises due to the phase transition of the entanglement wedge cross-section before the Page time. Similarly, the mutual information between the bipartition displays a ramp-slop-stabilizing behavior. In quantum mechanics, we consider a double copy of the SYK-plus-bath system in a global TFD state, resembling an eternal black hole interacting with an environment. The R\'enyi mutual information within the double-copied SYK clusters exhibits a ramp-plateau-slope-stabilizing behavior. The dynamic behaviors of the entanglement quantities observed in these two models are attributable to the competition between the internal interaction of the system and the external interaction with the baths. Our study provides a fine-grained picture of the entanglement dynamics inside black holes before their Page time. |
hep-th/9403170 | null | G. Mack, V. Schomerus | Models of Quantum Space Time: Quantum Field Planes | 21 pages, HUTMP 94-B335 | null | null | null | hep-th | null | Quantum field planes furnish a noncommutative differential algebra $\Omega$
which substitutes for the commutative algebra of functions and forms on a
contractible manifold. The data required in their construction come from a
quantum field theory. The basic idea is to replace the ground field ${\bf C}$
of quantum planes by the noncommutative algebra ${\cal A}$ of observables of
the quantum field theory.
| [
{
"created": "Mon, 28 Mar 1994 20:14:56 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Mack",
"G.",
""
],
[
"Schomerus",
"V.",
""
]
] | Quantum field planes furnish a noncommutative differential algebra $\Omega$ which substitutes for the commutative algebra of functions and forms on a contractible manifold. The data required in their construction come from a quantum field theory. The basic idea is to replace the ground field ${\bf C}$ of quantum planes by the noncommutative algebra ${\cal A}$ of observables of the quantum field theory. |
hep-th/0111080 | null | Sergei V. Ketov (Caltech-USC Center for Theor. Physics, Los Angeles) | Quantum geometry of the universal hypermultiplet | 6 pages, LaTeX; invited talk at the RTN meeting, Corfu, September
2001 | Fortsch.Phys.50:909-915,2002 | 10.1002/1521-3978(200209)50:8/9<909::AID-PROP909>3.0.CO;2-J | CITUSC/01-043 | hep-th | null | The universal hypermultiplet moduli space metric in the type-IIA superstring
theory compactified on a Calabi-Yau threefold is related to integrable systems.
The instanton corrections in four dimensions arise due to multiple wrapping of
BPS membranes and fivebranes around certain (supersymmetric) cycles of
Calabi-Yau. The exact (non-perturbative) metrics can be calculated in the
special cases of (i) the D-instantons (or the wrapped D2-branes) in the absence
of fivebranes, and (ii) the fivebrane instantons with vanishing charges, in the
absence of D-instantons. The solutions of the first type are governed by the
three-dimensional Toda equation, whereas the solutions of the second type are
governed by the particular Painleve VI equation.
| [
{
"created": "Thu, 8 Nov 2001 22:10:32 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ketov",
"Sergei V.",
"",
"Caltech-USC Center for Theor. Physics, Los Angeles"
]
] | The universal hypermultiplet moduli space metric in the type-IIA superstring theory compactified on a Calabi-Yau threefold is related to integrable systems. The instanton corrections in four dimensions arise due to multiple wrapping of BPS membranes and fivebranes around certain (supersymmetric) cycles of Calabi-Yau. The exact (non-perturbative) metrics can be calculated in the special cases of (i) the D-instantons (or the wrapped D2-branes) in the absence of fivebranes, and (ii) the fivebrane instantons with vanishing charges, in the absence of D-instantons. The solutions of the first type are governed by the three-dimensional Toda equation, whereas the solutions of the second type are governed by the particular Painleve VI equation. |
2302.08009 | Masahiro Nozaki | Kanato Goto, Masahiro Nozaki, Shinsei Ryu, Kotaro Tamaoka, and Mao
Tian Tan | Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches
in Two-dimensional Conformal Field Theories | 36+26 pages, 23 figures | Phys. Rev. Research 6, 023001 (2024) | 10.1103/PhysRevResearch.6.023001 | RIKEN-iTHEMS-Report-23 | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study various quantum quench processes induced by the M\"obius/sine-square
deformation of the Hamiltonian in two-dimensional conformal field theories
starting from the thermofield double state in the two copies of the Hilbert
space. These quantum quenches, some of which are directly related to the
operator entanglement of the time-evolution operators, allow us to study
scrambling and recovery of quantum information. In particular, under the SSD
time-evolution, we show from the time-dependence of mutual information that the
Bell pairs, initially shared by the subsystems of the two Hilbert spaces, may
revive even after the mutual information for small subsystems is completely
destroyed by quantum information scrambling dynamics. This mutual information
is robust against the strong scrambling dynamics. As a consequence, the steady
state has a non-local correlation shared not by any of two parties but by three
parties. In the holographic dual description, a wormhole connecting the two
Hilbert spaces may non-linearly grow with time during the quantum quenches. We
also propose effective pictures that describe the dynamics of mutual
information during the time-evolution by inhomogeneous Hamiltonians.
| [
{
"created": "Thu, 16 Feb 2023 00:47:50 GMT",
"version": "v1"
}
] | 2024-04-04 | [
[
"Goto",
"Kanato",
""
],
[
"Nozaki",
"Masahiro",
""
],
[
"Ryu",
"Shinsei",
""
],
[
"Tamaoka",
"Kotaro",
""
],
[
"Tan",
"Mao Tian",
""
]
] | We study various quantum quench processes induced by the M\"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space. These quantum quenches, some of which are directly related to the operator entanglement of the time-evolution operators, allow us to study scrambling and recovery of quantum information. In particular, under the SSD time-evolution, we show from the time-dependence of mutual information that the Bell pairs, initially shared by the subsystems of the two Hilbert spaces, may revive even after the mutual information for small subsystems is completely destroyed by quantum information scrambling dynamics. This mutual information is robust against the strong scrambling dynamics. As a consequence, the steady state has a non-local correlation shared not by any of two parties but by three parties. In the holographic dual description, a wormhole connecting the two Hilbert spaces may non-linearly grow with time during the quantum quenches. We also propose effective pictures that describe the dynamics of mutual information during the time-evolution by inhomogeneous Hamiltonians. |
1008.1957 | John Ward | Sudhakar Panda, M. Sami and John Ward | Bounds on Tensor wave and Twisted Inflation | 5 pages | Phys.Rev.D82:103511,2010 | 10.1103/PhysRevD.82.103511 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the bounds on tensor wave in a class of twisted inflation models
where $D(4+2k)$-branes are wrapped on cycles in the compact manifold and wrap
the KK-direction in the corresponding effective field theory. While the lower
bound is found to be analogous to that in Type IIB models of brane inflation,
the upper bound turns out to be significantly different. This is argued for a
range of values for the parameter $g_s M$ satisfying the self-consistency
relation and the WMAP data. Further, we observe that the wrapped $D8$-brane
appears to be the most attractive from a cosmological perspective.
| [
{
"created": "Wed, 11 Aug 2010 17:25:58 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Panda",
"Sudhakar",
""
],
[
"Sami",
"M.",
""
],
[
"Ward",
"John",
""
]
] | We study the bounds on tensor wave in a class of twisted inflation models where $D(4+2k)$-branes are wrapped on cycles in the compact manifold and wrap the KK-direction in the corresponding effective field theory. While the lower bound is found to be analogous to that in Type IIB models of brane inflation, the upper bound turns out to be significantly different. This is argued for a range of values for the parameter $g_s M$ satisfying the self-consistency relation and the WMAP data. Further, we observe that the wrapped $D8$-brane appears to be the most attractive from a cosmological perspective. |
1508.02857 | Vitaly Velizhanin | V.N. Velizhanin | BFKL pomeron in the next-to-next-to-leading approximation in the planar
N=4 SYM theory | 17 pages | null | null | null | hep-th hep-ex hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We find the eigenvalue of the kernel of BFKL equation in the
next-to-next-to-leading logarithm approximation in the planar N=4 SM theory
from the constraints, coming from the six-loop anomalous dimension of twist-2
operators and known large-gamma limit.
| [
{
"created": "Wed, 12 Aug 2015 09:09:31 GMT",
"version": "v1"
}
] | 2015-08-13 | [
[
"Velizhanin",
"V. N.",
""
]
] | We find the eigenvalue of the kernel of BFKL equation in the next-to-next-to-leading logarithm approximation in the planar N=4 SM theory from the constraints, coming from the six-loop anomalous dimension of twist-2 operators and known large-gamma limit. |
hep-th/0105145 | Emilio Elizalde | E. Elizalde | Spectral Zeta Functions in Non-Commutative Spacetimes | 4 pages, no figures | Nucl.Phys.Proc.Suppl. 104 (2002) 157-160 | 10.1016/S0920-5632(01)01603-6 | null | hep-th | null | Formulas for the most general case of the zeta function associated to a
quadratic+linear+constant form (in {\bf Z}) are given. As examples, the
spectral zeta functions $\zeta_\alpha (s)$ corresponding to bosonic ($\alpha
=2$) and to fermionic ($\alpha =3$) quantum fields living on a noncommutative,
partially toroidal spacetime are investigated. Simple poles show up at $s=0$,
as well as in other places (simple or double, depending on the number of
compactified, noncompactified, and noncommutative dimensions of the spacetime).
This poses a challenge to the zeta-function regularization procedure.
| [
{
"created": "Tue, 15 May 2001 17:47:17 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Elizalde",
"E.",
""
]
] | Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in {\bf Z}) are given. As examples, the spectral zeta functions $\zeta_\alpha (s)$ corresponding to bosonic ($\alpha =2$) and to fermionic ($\alpha =3$) quantum fields living on a noncommutative, partially toroidal spacetime are investigated. Simple poles show up at $s=0$, as well as in other places (simple or double, depending on the number of compactified, noncompactified, and noncommutative dimensions of the spacetime). This poses a challenge to the zeta-function regularization procedure. |
hep-th/0402103 | Sergio Zerbini | L. Vanzo and S. Zerbini | Asymptotics of Quasi-normal Modes for Multi-horizon Black Holes | 18 pages, Latex, misprints corrected, references added | Phys.Rev. D70 (2004) 044030 | 10.1103/PhysRevD.70.044030 | null | hep-th | null | The issue concerning rigorous methods recently developed in deriving the
asymptotics of quasi-normal modes is revisited and applied to a generic non
rotating multi-horizon black holes solution. Some examples are illustrated and
the single horizon cases are also considered. As a result, the asymptotics for
large angular momentum parameter is shown to depend on the difference between
the maximal or Nariai black hole mass and the ordinary black hole mass. The
extremal limit is also discussed and the exact evaluation of the quasi-normal
frequencies related to the Nariai space-time is presented, as a consistent
check of the general asymptotic formula.
| [
{
"created": "Fri, 13 Feb 2004 08:52:30 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 2004 13:52:39 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Vanzo",
"L.",
""
],
[
"Zerbini",
"S.",
""
]
] | The issue concerning rigorous methods recently developed in deriving the asymptotics of quasi-normal modes is revisited and applied to a generic non rotating multi-horizon black holes solution. Some examples are illustrated and the single horizon cases are also considered. As a result, the asymptotics for large angular momentum parameter is shown to depend on the difference between the maximal or Nariai black hole mass and the ordinary black hole mass. The extremal limit is also discussed and the exact evaluation of the quasi-normal frequencies related to the Nariai space-time is presented, as a consistent check of the general asymptotic formula. |
hep-th/0010264 | null | Alexios P. Polychronakos | Noncommutative Chern-Simons terms and the noncommutative vacuum | 10 pages, no figures; minor typos and references corrected | JHEP 0011 (2000) 008 | 10.1088/1126-6708/2000/11/008 | RU00-10-B | hep-th math-ph math.MP math.OA | null | It is pointed out that the space noncommutativity parameters $theta^{\mu
\nu}$ in noncommutative gauge theory can be considered as a set of
superselection parameters, in analogy with the theta-angle in ordinary gauge
theories. As such, they do not need to enter explicitly into the action. A
simple generic formula is then suggested to reproduce the Chern-Simons action
in noncommutative gauge theory, which reduces to the standard action in the
commutative limit but in general implies a cascade of lower-dimensional
Chern-Simons terms. The presence of these terms in general alters the vacuum
structure of the theory and nonstandard gauge theories can emerge around the
new vacua.
| [
{
"created": "Fri, 27 Oct 2000 20:05:59 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Nov 2000 15:45:06 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Polychronakos",
"Alexios P.",
""
]
] | It is pointed out that the space noncommutativity parameters $theta^{\mu \nu}$ in noncommutative gauge theory can be considered as a set of superselection parameters, in analogy with the theta-angle in ordinary gauge theories. As such, they do not need to enter explicitly into the action. A simple generic formula is then suggested to reproduce the Chern-Simons action in noncommutative gauge theory, which reduces to the standard action in the commutative limit but in general implies a cascade of lower-dimensional Chern-Simons terms. The presence of these terms in general alters the vacuum structure of the theory and nonstandard gauge theories can emerge around the new vacua. |
1812.09794 | Joao Caetano | Benjamin Basso, Joao Caetano, Thiago Fleury | Hexagons and Correlators in the Fishnet Theory | 63 pages | null | 10.1007/JHEP11(2019)172 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the hexagon formalism in the planar 4d conformal fishnet
theory. This theory arises from N=4 SYM by a deformation that preserves both
conformal symmetry and integrability. Based on this relation, we obtain the
hexagon form factors for a large class of states, including the BMN vacuum,
some excited states, and the Lagrangian density. We apply these form factors to
the computation of several correlators and match the results with direct
Feynman diagrammatic calculations. We also study the renormalisation of the
hexagon form factor expansion for a family of diagonal structure constants and
test the procedure at higher orders through comparison with a known universal
formula for the Lagrangian insertion.
| [
{
"created": "Sun, 23 Dec 2018 23:16:59 GMT",
"version": "v1"
}
] | 2020-01-29 | [
[
"Basso",
"Benjamin",
""
],
[
"Caetano",
"Joao",
""
],
[
"Fleury",
"Thiago",
""
]
] | We investigate the hexagon formalism in the planar 4d conformal fishnet theory. This theory arises from N=4 SYM by a deformation that preserves both conformal symmetry and integrability. Based on this relation, we obtain the hexagon form factors for a large class of states, including the BMN vacuum, some excited states, and the Lagrangian density. We apply these form factors to the computation of several correlators and match the results with direct Feynman diagrammatic calculations. We also study the renormalisation of the hexagon form factor expansion for a family of diagonal structure constants and test the procedure at higher orders through comparison with a known universal formula for the Lagrangian insertion. |
2309.06403 | Andrei Mironov | A. Mironov, A. Morozov | On the status of DELL systems | LaTeX, 29 pages | Nucl.Phys. B999 (2024) 116448 | 10.1016/j.nuclphysb.2024.116448 | FIAN/TD-12/23; IITP/TH-14/23; ITEP/TH-20/23; MIPT/TH-15/23 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A detailed review of the $p,q$-duality for Calogero system and its
generalizations is given. For the first time, we present some of
elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars
Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to
the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual
double-elliptic (DELL) system remains a mystery, but we provide a clearer
formulation of the problem and describe the steps that are still to be done.
| [
{
"created": "Tue, 12 Sep 2023 17:09:56 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2023 17:12:53 GMT",
"version": "v2"
}
] | 2024-01-17 | [
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] | A detailed review of the $p,q$-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done. |
1511.02921 | Gianluca Costagliola | Gianluca Costagliola | OPE Coefficients of the 3D Ising model with a trapping potential | 6 pages, 4 figures | Phys. Rev. D 93, 066008 (2016) | 10.1103/PhysRevD.93.066008 | null | hep-th cond-mat.stat-mech hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently the OPE coefficients of the 3D Ising model universality class have
been calculated by studying the two-point functions perturbed from the critical
point with a relevant field. We show that this method can be applied also when
the perturbation is performed with a relevant field coupled to a non uniform
potential acting as a trap. This setting is described by the trap size scaling
ansatz, that can be combined with the general framework of the conformal
perturbation in order to write down the correlators $<\sigma (\mathbf
{r})\sigma(0)>$, $<\sigma (\mathbf{r})\epsilon(0)>$ and $<\epsilon (\mathbf
{r})\epsilon(0)>$, from which the OPE coefficients can be estimated. We find
$C^{\sigma}_{\sigma\epsilon}= 1.051(3)$ , in agreement with the results already
known in the literature, and $C^{\epsilon}_{\epsilon\epsilon}= 1.32 (15)$ ,
confirming and improving the previous estimate obtained in the uniform
perturbation case.
| [
{
"created": "Mon, 9 Nov 2015 22:49:38 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Apr 2016 15:17:16 GMT",
"version": "v2"
}
] | 2016-04-28 | [
[
"Costagliola",
"Gianluca",
""
]
] | Recently the OPE coefficients of the 3D Ising model universality class have been calculated by studying the two-point functions perturbed from the critical point with a relevant field. We show that this method can be applied also when the perturbation is performed with a relevant field coupled to a non uniform potential acting as a trap. This setting is described by the trap size scaling ansatz, that can be combined with the general framework of the conformal perturbation in order to write down the correlators $<\sigma (\mathbf {r})\sigma(0)>$, $<\sigma (\mathbf{r})\epsilon(0)>$ and $<\epsilon (\mathbf {r})\epsilon(0)>$, from which the OPE coefficients can be estimated. We find $C^{\sigma}_{\sigma\epsilon}= 1.051(3)$ , in agreement with the results already known in the literature, and $C^{\epsilon}_{\epsilon\epsilon}= 1.32 (15)$ , confirming and improving the previous estimate obtained in the uniform perturbation case. |
1212.0958 | Michael Maziashvili | Michael Maziashvili and Luka Megrelidze | Minimum-length deformed QM/QFT, issues and problems | 17 pages, Content extended and edited to match published version | Prog. Theor. Exp. Phys. (2013) 123B06 | 10.1093/ptep/ptt107 | null | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a particular Hilbert space representation of minimum-length deformed
quantum mechanics, we show that the resolution of the wave-function
singularities for strongly attractive potentials, as well as cosmological
singularity in the framework of a minisuperspace approximation, is uniquely
tied to the fact that this sort of quantum mechanics implies the reduced
Hilbert space of state-vectors consisting of the functions nonlocalizable
beneath the Planck length. (Corrections to the Hamiltonian do not provide such
an universal mechanism for avoiding singularities.) Following this discussion,
as a next step we take a critical view of the meaning of wave-function in such
a quantum theory. For this reason we focus on the construction of current
vector and the subsequent continuity equation. Some issues gained in the
framework of this discussion are then considered in the context of field
theory. Finally, we discuss the classical limit of the minimum-length deformed
quantum mechanics and its dramatic consequences.
| [
{
"created": "Wed, 5 Dec 2012 08:12:08 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Jan 2014 08:36:26 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Feb 2014 07:35:34 GMT",
"version": "v3"
}
] | 2014-02-19 | [
[
"Maziashvili",
"Michael",
""
],
[
"Megrelidze",
"Luka",
""
]
] | Using a particular Hilbert space representation of minimum-length deformed quantum mechanics, we show that the resolution of the wave-function singularities for strongly attractive potentials, as well as cosmological singularity in the framework of a minisuperspace approximation, is uniquely tied to the fact that this sort of quantum mechanics implies the reduced Hilbert space of state-vectors consisting of the functions nonlocalizable beneath the Planck length. (Corrections to the Hamiltonian do not provide such an universal mechanism for avoiding singularities.) Following this discussion, as a next step we take a critical view of the meaning of wave-function in such a quantum theory. For this reason we focus on the construction of current vector and the subsequent continuity equation. Some issues gained in the framework of this discussion are then considered in the context of field theory. Finally, we discuss the classical limit of the minimum-length deformed quantum mechanics and its dramatic consequences. |
0904.2993 | Jan Louis | Hagen Triendl, Jan Louis | Type II compactifications on manifolds with SU(2) x SU(2) structure | 69 pages, v2 published version | JHEP 0907:080,2009 | 10.1088/1126-6708/2009/07/080 | ZMP-HH/09-4 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study compactifications of type II theories on SU(2) x SU(2) structure
manifolds to six, five and four spacetime dimensions. We use the framework of
generalized geometry to describe the NS-NS sector of such compactifications and
derive the structure of their moduli spaces. We show that in contrast to SU(3)
x SU(3) structure compactifications, there is no dynamical SU(2) x SU(2)
structure interpolating between an SU(2) structure and an identity structure.
Furthermore, we formulate type II compactifications on SU(2) x SU(2) structures
in the context of exceptional generalized geometry which makes the U-duality
group manifest and naturally incorporates the scalar degrees of freedom arising
in the Ramond-Ramond sector. Via this formalism we derive the structure of the
moduli spaces as it is expected from N=4 supergravity.
| [
{
"created": "Mon, 20 Apr 2009 09:48:28 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jul 2009 14:17:00 GMT",
"version": "v2"
}
] | 2009-07-23 | [
[
"Triendl",
"Hagen",
""
],
[
"Louis",
"Jan",
""
]
] | We study compactifications of type II theories on SU(2) x SU(2) structure manifolds to six, five and four spacetime dimensions. We use the framework of generalized geometry to describe the NS-NS sector of such compactifications and derive the structure of their moduli spaces. We show that in contrast to SU(3) x SU(3) structure compactifications, there is no dynamical SU(2) x SU(2) structure interpolating between an SU(2) structure and an identity structure. Furthermore, we formulate type II compactifications on SU(2) x SU(2) structures in the context of exceptional generalized geometry which makes the U-duality group manifest and naturally incorporates the scalar degrees of freedom arising in the Ramond-Ramond sector. Via this formalism we derive the structure of the moduli spaces as it is expected from N=4 supergravity. |
hep-th/9710101 | Vladimir Nesterenko | I. H. Brevik, V. V. Nesterenko, and I. G. Pirozhenko | Direct mode summation for the Casimir energy of a solid ball | REVTeX, 7 pages, no figures and tables, treatment of a dilute
dielectric ball is revised, new references are added | J.Phys.A31:8661-8668,1998 | 10.1088/0305-4470/31/43/009 | JINR E2-97-307 | hep-th | null | The Casimir energy of a solid ball placed in an infinite medium is calculated
by a direct frequency summation using the contour integration. It is assumed
that the permittivity and permeability of the ball and medium satisfy the
condition $\epsilon_1 \mu_1=\epsilon_2\mu_2$. Upon deriving the general
expression for the Casimir energy, a dilute compact ball is considered
$(\epsilon_1 -\epsilon_2)^2/(\epsilon_1+\epsilon_2)^2\ll 1$. In this case the
calculations are carried out which are of the first order in $\xi ^2$ and take
account of the five terms in the Debye expansion of the Bessel functions
involved. The implication of the obtained results to the attempts of explaining
the sonoluminescence via the Casimir effect is shortly discussed.
| [
{
"created": "Mon, 13 Oct 1997 13:32:22 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Apr 1998 14:07:17 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Brevik",
"I. H.",
""
],
[
"Nesterenko",
"V. V.",
""
],
[
"Pirozhenko",
"I. G.",
""
]
] | The Casimir energy of a solid ball placed in an infinite medium is calculated by a direct frequency summation using the contour integration. It is assumed that the permittivity and permeability of the ball and medium satisfy the condition $\epsilon_1 \mu_1=\epsilon_2\mu_2$. Upon deriving the general expression for the Casimir energy, a dilute compact ball is considered $(\epsilon_1 -\epsilon_2)^2/(\epsilon_1+\epsilon_2)^2\ll 1$. In this case the calculations are carried out which are of the first order in $\xi ^2$ and take account of the five terms in the Debye expansion of the Bessel functions involved. The implication of the obtained results to the attempts of explaining the sonoluminescence via the Casimir effect is shortly discussed. |
2406.07829 | Mithat Unsal | Mustafa T\"ure, Mithat \"Unsal | Quantum Hamilton-Jacobi Theory, Spectral Path Integrals and Exact-WKB | 33 pages, 15 figures | null | null | null | hep-th math-ph math.MP quant-ph | http://creativecommons.org/licenses/by/4.0/ | We propose a new way to perform path integrals in quantum mechanics by using
a quantum version of Hamilton-Jacobi theory. In classical mechanics,
Hamilton-Jacobi theory is a powerful formalism, however, its utility is not
explored in quantum theory beyond the correspondence principle. The canonical
transformation enables one to set the new Hamiltonian to constant or zero, but
keeps the information about solution in Hamilton's characteristic function. To
benefit from this in quantum theory, one must work with a formulation in which
classical Hamiltonian is used. This uniquely points to phase space path
integral. However, the main variable in HJ-formalism is energy, not time. Thus,
we are led to consider Fourier transform of path integral, spectral path
integral, $\tilde Z(E)$. This admits a representation in terms of a quantum
Hamilton's characteristic functions for perturbative and non-perturbative
periodic orbits, generalizing Gutzwiller's sum. This results in a path integral
derivation of exact quantization conditions, complementary to the exact WKB
analysis of differential equations. We apply these to generic $\mathbb Z_2$
symmetric multi-well potential problems and point out some new instanton
effects, e.g., the level splitting is generically a multi-instanton effect,
unlike double-well.
| [
{
"created": "Wed, 12 Jun 2024 02:50:43 GMT",
"version": "v1"
}
] | 2024-06-13 | [
[
"Türe",
"Mustafa",
""
],
[
"Ünsal",
"Mithat",
""
]
] | We propose a new way to perform path integrals in quantum mechanics by using a quantum version of Hamilton-Jacobi theory. In classical mechanics, Hamilton-Jacobi theory is a powerful formalism, however, its utility is not explored in quantum theory beyond the correspondence principle. The canonical transformation enables one to set the new Hamiltonian to constant or zero, but keeps the information about solution in Hamilton's characteristic function. To benefit from this in quantum theory, one must work with a formulation in which classical Hamiltonian is used. This uniquely points to phase space path integral. However, the main variable in HJ-formalism is energy, not time. Thus, we are led to consider Fourier transform of path integral, spectral path integral, $\tilde Z(E)$. This admits a representation in terms of a quantum Hamilton's characteristic functions for perturbative and non-perturbative periodic orbits, generalizing Gutzwiller's sum. This results in a path integral derivation of exact quantization conditions, complementary to the exact WKB analysis of differential equations. We apply these to generic $\mathbb Z_2$ symmetric multi-well potential problems and point out some new instanton effects, e.g., the level splitting is generically a multi-instanton effect, unlike double-well. |
1301.0084 | Giuseppe Piero Brandino | M. Beria, G. P. Brandino, L. Lepori, R. M. Konik and G. Sierra | Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten
$SU(2)_k$ Models | 35 pages, 12 figures | null | 10.1016/j.nuclphysb.2013.10.005 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We outline the application of the truncated conformal space approach (TCSA)
to perturbations of $SU(2)_k$ Wess-Zumino-Witten theories. As examples of this
methodology, we consider two distinct perturbations of $SU(2)_1$ and one of
$SU(2)_2$. $SU(2)_1$ is first perturbed by its spin-1/2 field, a model which is
equivalent to the sine-Gordon model at a particular value of its coupling
$\beta$. The sine-Gordon spectrum is correctly reproduced as well as the
corresponding finite size corrections. We next study $SU(2)_1$ with a marginal
current-current perturbation. The TCSA results can be matched to perturbation
theory within an appropriate treatment of the UV divergences. We find however
that these results do not match field theoretic computations on the same model
performed with a Lorentz invariant regulator. Finally, we consider $SU(2)_2$
perturbed by its spin-1 field, which is equivalent to three decoupled massive
Majorana fermions. In this case as well the TCSA reproduces accurately the
known spectrum.
| [
{
"created": "Tue, 1 Jan 2013 13:37:16 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2013 10:50:15 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Beria",
"M.",
""
],
[
"Brandino",
"G. P.",
""
],
[
"Lepori",
"L.",
""
],
[
"Konik",
"R. M.",
""
],
[
"Sierra",
"G.",
""
]
] | We outline the application of the truncated conformal space approach (TCSA) to perturbations of $SU(2)_k$ Wess-Zumino-Witten theories. As examples of this methodology, we consider two distinct perturbations of $SU(2)_1$ and one of $SU(2)_2$. $SU(2)_1$ is first perturbed by its spin-1/2 field, a model which is equivalent to the sine-Gordon model at a particular value of its coupling $\beta$. The sine-Gordon spectrum is correctly reproduced as well as the corresponding finite size corrections. We next study $SU(2)_1$ with a marginal current-current perturbation. The TCSA results can be matched to perturbation theory within an appropriate treatment of the UV divergences. We find however that these results do not match field theoretic computations on the same model performed with a Lorentz invariant regulator. Finally, we consider $SU(2)_2$ perturbed by its spin-1 field, which is equivalent to three decoupled massive Majorana fermions. In this case as well the TCSA reproduces accurately the known spectrum. |
1705.05362 | Xinan Zhou | Leonardo Rastelli, Xinan Zhou | The Mellin Formalism for Boundary CFT$_d$ | 38 pages, 7 figures; v2 references added, minor changes; v3 typos
corrected, derivation in 4.3 now applies to the most general case. Published
version | JHEP 10 (2017) 146 | 10.1007/JHEP10(2017)146 | YITP-SB-2017-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the Mellin representation of conformal field theory (CFT) to allow
for conformal boundaries and interfaces. We consider the simplest holographic
setup dual to an interface CFT - a brane filling an $AdS_{d}$ subspace of
$AdS_{d+1}$ - and perform a systematic study of Witten diagrams in this setup.
As a byproduct of our analysis, we show that geodesic Witten diagrams in this
geometry reproduce interface CFT$_d$ conformal blocks, generalizing the
analogous statement for CFTs with no defects.
| [
{
"created": "Mon, 15 May 2017 17:55:15 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2017 20:27:24 GMT",
"version": "v2"
},
{
"created": "Fri, 27 Oct 2017 01:39:15 GMT",
"version": "v3"
}
] | 2017-10-30 | [
[
"Rastelli",
"Leonardo",
""
],
[
"Zhou",
"Xinan",
""
]
] | We extend the Mellin representation of conformal field theory (CFT) to allow for conformal boundaries and interfaces. We consider the simplest holographic setup dual to an interface CFT - a brane filling an $AdS_{d}$ subspace of $AdS_{d+1}$ - and perform a systematic study of Witten diagrams in this setup. As a byproduct of our analysis, we show that geodesic Witten diagrams in this geometry reproduce interface CFT$_d$ conformal blocks, generalizing the analogous statement for CFTs with no defects. |
1305.2422 | Donovan Young | Donovan Young | Form Factors of Chiral Primary Operators at Two Loops in ABJ(M) | 22 pages. v2 updated references. v3 minor improvements to text,
version to appear in JHEP. v4 error in ABJ J=2 colour factor corrected. v5
typos: signs in Feynman rules A.1 and A.2 corrected, typo in (2.15) corrected | JHEP 1306 (2013) 049 | 10.1007/JHEP06(2013)049 | NORDITA-2013-34 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the colour-ordered form factor for chiral primary operators
built from J scalar fields of ABJ(M) theory to J scalar final states. We work
in the 't Hooft limit and show that the leading quantum correction is order
lambda squared, where lambda is the 't Hooft coupling. We evaluate this leading
correction using standard Feynman diagrams and dimensional regularization, and
find that the leading divergence is 1/epsilon^2 where the spacetime dimension
is d = 3 - 2 epsilon. We further find that the result respects maximal
transcendentality.
| [
{
"created": "Fri, 10 May 2013 20:00:50 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2013 09:18:37 GMT",
"version": "v2"
},
{
"created": "Wed, 29 May 2013 12:05:48 GMT",
"version": "v3"
},
{
"created": "Thu, 25 Jul 2013 11:31:36 GMT",
"version": "v4"
},
{
"c... | 2014-11-04 | [
[
"Young",
"Donovan",
""
]
] | We calculate the colour-ordered form factor for chiral primary operators built from J scalar fields of ABJ(M) theory to J scalar final states. We work in the 't Hooft limit and show that the leading quantum correction is order lambda squared, where lambda is the 't Hooft coupling. We evaluate this leading correction using standard Feynman diagrams and dimensional regularization, and find that the leading divergence is 1/epsilon^2 where the spacetime dimension is d = 3 - 2 epsilon. We further find that the result respects maximal transcendentality. |
1207.0211 | Kouzou Nishida | Kouzou Nishida | A Generalized Gauge Theory of Gravity | 10 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we discuss a gravitational theory based on the generalized
gauge field. Our Lagrangian is invariant not only under local Lorentz
transformation and the ordinary gauge transformation but also under a new gauge
transformation. We show that the gauge field associated with this new
transformation is a second-rank tensor field and that the Einstein-Hilbert term
can be derived from our Lagrangian when the gauge field has a vacuum
expectation value. We also show that our model provides a Lagrangian for the
scalar-tensor theory.
| [
{
"created": "Sun, 1 Jul 2012 14:08:56 GMT",
"version": "v1"
}
] | 2012-07-03 | [
[
"Nishida",
"Kouzou",
""
]
] | In this paper, we discuss a gravitational theory based on the generalized gauge field. Our Lagrangian is invariant not only under local Lorentz transformation and the ordinary gauge transformation but also under a new gauge transformation. We show that the gauge field associated with this new transformation is a second-rank tensor field and that the Einstein-Hilbert term can be derived from our Lagrangian when the gauge field has a vacuum expectation value. We also show that our model provides a Lagrangian for the scalar-tensor theory. |
0801.0197 | Matthias Neubert | Francesco Giacosa (Uni Frankfurt), Ralf Hofmann (Uni Karlsruhe), and
Matthias Neubert (Uni Mainz) | A model for the very early Universe | 14 pages, 2 figures; some references added; version to appear in JHEP | JHEP 0802:077,2008 | 10.1088/1126-6708/2008/02/077 | KA-TP-1-2008, MZ-TH/08-1 | hep-th hep-ph | null | A model with N species of massless fermions interacting via (microscopic)
gravitational torsion in de Sitter spacetime is investigated in the limit
N->infinity. The U_V(N)*U_A(N) flavor symmetry is broken dynamically
irrespective of the (positive) value of the induced four-fermion coupling. This
model is equivalent to a theory with free but massive fermions fluctuating
about the chiral condensate. When the fermions are integrated out in a way
demonstrated long ago by Candelas and Raine, the associated gap equation
together with the Friedmann equation predict that the Hubble parameter
vanishes. Introducing a matter sector (subject to a finite gauge symmetry) as a
source for subsequent cosmology, the neutral Goldstone field acquires mass by
the chiral anomaly, resulting in a Planck-scale axion.
| [
{
"created": "Wed, 2 Jan 2008 16:29:52 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2008 14:39:57 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Giacosa",
"Francesco",
"",
"Uni Frankfurt"
],
[
"Hofmann",
"Ralf",
"",
"Uni Karlsruhe"
],
[
"Neubert",
"Matthias",
"",
"Uni Mainz"
]
] | A model with N species of massless fermions interacting via (microscopic) gravitational torsion in de Sitter spacetime is investigated in the limit N->infinity. The U_V(N)*U_A(N) flavor symmetry is broken dynamically irrespective of the (positive) value of the induced four-fermion coupling. This model is equivalent to a theory with free but massive fermions fluctuating about the chiral condensate. When the fermions are integrated out in a way demonstrated long ago by Candelas and Raine, the associated gap equation together with the Friedmann equation predict that the Hubble parameter vanishes. Introducing a matter sector (subject to a finite gauge symmetry) as a source for subsequent cosmology, the neutral Goldstone field acquires mass by the chiral anomaly, resulting in a Planck-scale axion. |
1012.0333 | Hiromichi Nishimura | Hiromichi Nishimura and Michael C. Ogilvie | Phase Structure of Confining Theories on R^3 x S^1 | 3 pages, 2 figures. Talk given at the IX International Conference on
Quark Confinement and Hadron Spectrum - Madrid, Spain, 30 Aug 2010 - 03 Sep
2010 | AIP Conf.Proc.1343:167-169,2011 | 10.1063/1.3574965 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent work on QCD-like theories on R^3 x S^1 has revealed that a confined
phase can exist when the circumference L of S^1 is sufficiently small. Adjoint
QCD and double-trace deformation theories with certain conditions are such
theories, and we present some new results for their phase diagrams. First we
show the connection between the large-L and small-L confined regions in the
phase diagram of SU(3) adjoint QCD using Polyakov-Nambu-Jona Lasinio models.
Then we consider an SU(2) double-trace deformation theory with adjoint scalars
and study conflicts between the Higgs and small-L confined phase.
| [
{
"created": "Wed, 1 Dec 2010 21:51:21 GMT",
"version": "v1"
}
] | 2011-09-14 | [
[
"Nishimura",
"Hiromichi",
""
],
[
"Ogilvie",
"Michael C.",
""
]
] | Recent work on QCD-like theories on R^3 x S^1 has revealed that a confined phase can exist when the circumference L of S^1 is sufficiently small. Adjoint QCD and double-trace deformation theories with certain conditions are such theories, and we present some new results for their phase diagrams. First we show the connection between the large-L and small-L confined regions in the phase diagram of SU(3) adjoint QCD using Polyakov-Nambu-Jona Lasinio models. Then we consider an SU(2) double-trace deformation theory with adjoint scalars and study conflicts between the Higgs and small-L confined phase. |
hep-th/0102027 | John F. Tighe | Tim R. Morris and John F. Tighe | Convergence of derivative expansions in scalar field theory | 6 pages, 3 figures, presented at the 2nd Conference on the Exact RG,
Rome 2000 | Int.J.Mod.Phys. A16 (2001) 2095-2100 | 10.1142/S0217751X01004761 | SHEP 01-06 | hep-th | null | The convergence of the derivative expansion of the exact renormalisation
group is investigated via the computation of the beta function of massless
scalar lambda phi^4 theory. The derivative expansion of the Polchinski flow
equation converges at one loop for certain fast falling smooth cutoffs.
Convergence of the derivative expansion of the Legendre flow equation is
trivial at one loop, but also can occur at two loops and in particular
converges for an exponential cutoff.
| [
{
"created": "Tue, 6 Feb 2001 11:52:40 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Morris",
"Tim R.",
""
],
[
"Tighe",
"John F.",
""
]
] | The convergence of the derivative expansion of the exact renormalisation group is investigated via the computation of the beta function of massless scalar lambda phi^4 theory. The derivative expansion of the Polchinski flow equation converges at one loop for certain fast falling smooth cutoffs. Convergence of the derivative expansion of the Legendre flow equation is trivial at one loop, but also can occur at two loops and in particular converges for an exponential cutoff. |
hep-th/9609148 | Valeri Dvoeglazov | Valeri V. Dvoeglazov (Universidad Aut\'onoma de Zacatecas) | Interacci\'on `Oscilador' de Part\'{\i}culas Relativistas | ReVTeX file, 18pp., in Spanish | Invest.Cient.2:5-15,1999 | null | EFUAZ FT-96-26 | hep-th | null | This is a brief introduction on the graduate level to mechanics of various
spin relativistic particles with oscillatorlike interaction. This mathematical
model proposed by M. Moshinsky could have considerable physical applications
for describing processes mediated by tensor fields and in bound state theory.
| [
{
"created": "Tue, 17 Sep 1996 20:52:29 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Dvoeglazov",
"Valeri V.",
"",
"Universidad Autónoma de Zacatecas"
]
] | This is a brief introduction on the graduate level to mechanics of various spin relativistic particles with oscillatorlike interaction. This mathematical model proposed by M. Moshinsky could have considerable physical applications for describing processes mediated by tensor fields and in bound state theory. |
1607.06047 | Vitaly Velizhanin | Christian Marboe and Vitaly Velizhanin | Twist-2 at seven loops in planar N=4 SYM theory: Full result and
analytic properties | 17 pages, 10 ancillary files | null | 10.1007/JHEP11(2016)013 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4
SYM theory is found at seven loops by using the quantum spectral curve to
compute values at fixed spin, and reconstructing the general result using the
LLL-algorithm together with modular arithmetic. The result of the analytic
continuation to negative spin is presented, and its relation with the recently
computed correction to the BFKL and double-logarithmic equation is discussed.
| [
{
"created": "Wed, 20 Jul 2016 17:55:06 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Marboe",
"Christian",
""
],
[
"Velizhanin",
"Vitaly",
""
]
] | The anomalous dimension of twist-2 operators of arbitrary spin in planar N=4 SYM theory is found at seven loops by using the quantum spectral curve to compute values at fixed spin, and reconstructing the general result using the LLL-algorithm together with modular arithmetic. The result of the analytic continuation to negative spin is presented, and its relation with the recently computed correction to the BFKL and double-logarithmic equation is discussed. |
1909.10456 | Yang Zhou | Jinwei Chu, Runze Qi, Yang Zhou | Generalizations of Reflected Entropy and the Holographic Dual | 30 pages +16 figures | JHEP 03 (2020) 151 | 10.1007/JHEP03(2020)151 | null | hep-th cond-mat.str-el quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a new class of quantum and classical correlation measures by
generalizing the reflected entropy to multipartite states. We define the new
measures for quantum systems in one spatial dimension. For quantum systems
having gravity duals, we show that the holographic duals of these new measures
are various types of minimal surfaces consist of different entanglement wedge
cross sections. One special generalized reflected entropy is $\Delta_R$, with
the holographic dual proportional to the so called multipartite entanglement
wedge cross section $\Delta_W$ defined before. We then perform a large $c$
computation of $\Delta_R$ and find precise agreement with the holographic
computation of 2$\Delta_{W}$. This agreement shows another candidate $\Delta_R$
as the dual of $\Delta_W$ and also supports our holographic conjecture of the
new class of generalized reflected entropies.
| [
{
"created": "Mon, 23 Sep 2019 16:17:31 GMT",
"version": "v1"
}
] | 2020-03-27 | [
[
"Chu",
"Jinwei",
""
],
[
"Qi",
"Runze",
""
],
[
"Zhou",
"Yang",
""
]
] | We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity duals, we show that the holographic duals of these new measures are various types of minimal surfaces consist of different entanglement wedge cross sections. One special generalized reflected entropy is $\Delta_R$, with the holographic dual proportional to the so called multipartite entanglement wedge cross section $\Delta_W$ defined before. We then perform a large $c$ computation of $\Delta_R$ and find precise agreement with the holographic computation of 2$\Delta_{W}$. This agreement shows another candidate $\Delta_R$ as the dual of $\Delta_W$ and also supports our holographic conjecture of the new class of generalized reflected entropies. |
hep-th/9508032 | null | Nguyen Ai Viet and Kameshwar C.Wali (Syracuse University) | A Discretized Version of Kaluza-Klein Theory with Torsion and Massive
Fields | 24 pages | Int.J.Mod.Phys. A11 (1996) 2403-2418 | 10.1142/S0217751X96001206 | SU-4240-615 | hep-th gr-qc | null | We consider an internal space of two discrete points in the fifth dimension
of the Kaluza-Klein theory by using the formalism of noncommutative geometry
developed in a previous paper \cite{VIWA} of a spacetime supplemented by two
discrete points. With the nonvanishing internal torsion 2-form there are no
constraints implied on the vielbeins. The theory contains a pair of tensor, a
pair of vector and a pair of scalar fields. Using the generalized Cartan
structure equation we are able not only to determine uniquely the hermitian and
metric compatible connection 1-forms, but also the nonvanishing internal
torsion 2-form in terms of vielbeins. The resulting action has a rich and
complex structure, a particular feature being the existence of massive modes.
Thus the nonvanishing internal torsion generates a Kaluza-Klein type model with
zero and massive modes.
| [
{
"created": "Mon, 7 Aug 1995 17:00:14 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Viet",
"Nguyen Ai",
"",
"Syracuse University"
],
[
"Wali",
"Kameshwar C.",
"",
"Syracuse University"
]
] | We consider an internal space of two discrete points in the fifth dimension of the Kaluza-Klein theory by using the formalism of noncommutative geometry developed in a previous paper \cite{VIWA} of a spacetime supplemented by two discrete points. With the nonvanishing internal torsion 2-form there are no constraints implied on the vielbeins. The theory contains a pair of tensor, a pair of vector and a pair of scalar fields. Using the generalized Cartan structure equation we are able not only to determine uniquely the hermitian and metric compatible connection 1-forms, but also the nonvanishing internal torsion 2-form in terms of vielbeins. The resulting action has a rich and complex structure, a particular feature being the existence of massive modes. Thus the nonvanishing internal torsion generates a Kaluza-Klein type model with zero and massive modes. |
1710.11498 | Pietro Antonio Grassi | Pietro Fr\'e and Pietro Antonio Grassi | $\mathrm{D=10}$ Super-Yang-Mills Theory and Poincar\'e Duality in
Supermanifolds | 22 pages, Latex | null | null | YITP-17-114, ARC-17-10 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider super Yang-Mills theory on supermanifolds $\mathcal{M}^{(D|m)}$
using integral forms. The latter are used to define a geometric theory of
integration and are essential for a consistent action principle. The
construction relies on Picture Changing Operators $\mathbb{Y}^{(0|m)}$,
analogous to those introduced in String Theory, that admit the geometric
interpretation of Poincar\'e duals of closed submanifolds of superspace
$\mathcal{S}^{(D|0)} \subset \mathcal{M}^{(D|m)}$ having maximal bosonic
dimension $D$. We discuss the case of Super-Yang-Mills theory in $D=10$ with
$\mathcal{N}=1$ supersymmetry and we show how to retrieve its pure-spinor
formulation from the rheonomic lagrangian $\mathcal{L}_{rheo}$ of D'Auria,
Fr\'e and Da Silva, choosing a suitable $\mathbb{Y}^{(0|m)}_{ps}$. From the
same lagrangian $\mathcal{L}_{rheo}$, with another choice
$\mathbb{Y}^{(0|m)}_{comp}$ of the PCO, one retrieves the component form of the
SYM action. Equivalence of the formulations is ensured when the corresponding
PCO.s are cohomologous, which is true, in this case, of
$\mathbb{Y}^{(0|m)}_{ps}$ and $\mathbb{Y}^{(0|m)}_{comp}$.
| [
{
"created": "Tue, 31 Oct 2017 14:15:42 GMT",
"version": "v1"
}
] | 2017-11-01 | [
[
"Fré",
"Pietro",
""
],
[
"Grassi",
"Pietro Antonio",
""
]
] | We consider super Yang-Mills theory on supermanifolds $\mathcal{M}^{(D|m)}$ using integral forms. The latter are used to define a geometric theory of integration and are essential for a consistent action principle. The construction relies on Picture Changing Operators $\mathbb{Y}^{(0|m)}$, analogous to those introduced in String Theory, that admit the geometric interpretation of Poincar\'e duals of closed submanifolds of superspace $\mathcal{S}^{(D|0)} \subset \mathcal{M}^{(D|m)}$ having maximal bosonic dimension $D$. We discuss the case of Super-Yang-Mills theory in $D=10$ with $\mathcal{N}=1$ supersymmetry and we show how to retrieve its pure-spinor formulation from the rheonomic lagrangian $\mathcal{L}_{rheo}$ of D'Auria, Fr\'e and Da Silva, choosing a suitable $\mathbb{Y}^{(0|m)}_{ps}$. From the same lagrangian $\mathcal{L}_{rheo}$, with another choice $\mathbb{Y}^{(0|m)}_{comp}$ of the PCO, one retrieves the component form of the SYM action. Equivalence of the formulations is ensured when the corresponding PCO.s are cohomologous, which is true, in this case, of $\mathbb{Y}^{(0|m)}_{ps}$ and $\mathbb{Y}^{(0|m)}_{comp}$. |
1203.6662 | Hans Jockers | Kenneth Intriligator, Hans Jockers, Peter Mayr, David R. Morrison, M.
Ronen Plesser | Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background
Fluxes | 93 pages; v2: minor changes and references added | Adv.Theor.Math.Phys. 17 (2013) 601-699 | 10.4310/ATMP.2013.v17.n3.a2 | BONN-TH-2012-06, LMU-ASC 20/12, UCSB Math 2012-15, UCSD-PTH-11-16 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider topology changing transitions for M-theory compactifications on
Calabi-Yau fourfolds with background G-flux. The local geometry of the
transition is generically a genus g curve of conifold singularities, which
engineers a 3d gauge theory with four supercharges, near the intersection of
Coulomb and Higgs branches. We identify a set of canonical, minimal flux quanta
which solve the local quantization condition on G for a given geometry,
including new solutions in which the flux is neither of horizontal nor vertical
type. A local analysis of the flux superpotential shows that the potential has
flat directions for a subset of these fluxes and the topologically different
phases can be dynamically connected. For special geometries and background
configurations, the local transitions extend to extremal transitions between
global fourfold compactifications with flux. By a circle decompactification the
M-theory analysis identifies consistent flux configurations in four-dimensional
F-theory compactifications and flat directions in the deformation space of
branes with bundles.
| [
{
"created": "Thu, 29 Mar 2012 20:21:54 GMT",
"version": "v1"
},
{
"created": "Wed, 30 May 2012 06:48:07 GMT",
"version": "v2"
}
] | 2014-06-05 | [
[
"Intriligator",
"Kenneth",
""
],
[
"Jockers",
"Hans",
""
],
[
"Mayr",
"Peter",
""
],
[
"Morrison",
"David R.",
""
],
[
"Plesser",
"M. Ronen",
""
]
] | We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d gauge theory with four supercharges, near the intersection of Coulomb and Higgs branches. We identify a set of canonical, minimal flux quanta which solve the local quantization condition on G for a given geometry, including new solutions in which the flux is neither of horizontal nor vertical type. A local analysis of the flux superpotential shows that the potential has flat directions for a subset of these fluxes and the topologically different phases can be dynamically connected. For special geometries and background configurations, the local transitions extend to extremal transitions between global fourfold compactifications with flux. By a circle decompactification the M-theory analysis identifies consistent flux configurations in four-dimensional F-theory compactifications and flat directions in the deformation space of branes with bundles. |
1611.01131 | Saoussen Mbarek | Saoussen Mbarek and Robert B. Mann | Thermodynamic Volume of Cosmological Solitons | 16 pages, 2 figures, 3 tables | null | 10.1016/j.physletb.2016.12.042 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present explicit expressions of the thermodynamic volume inside and
outside the cosmological horizon of Eguchi-Hanson solitons in general odd
dimensions. These quantities are calculable and well-defined regardless of
whether or not the regularity condition for the soliton is imposed. For the
inner case, we show that the reverse isoperimetric inequality is not satisfied
for general values of the soliton parameter $a$, though a narrow range exists
for which the inequality does hold. For the outer case, we find that the mass
$M_{out}$ satisfies the maximal mass conjecture and the volume is positive. We
also show that, by requiring $M_{out}$ to yield the mass of dS spacetime when
the soliton parameter vanishes, the associated cosmological volume is always
positive.
| [
{
"created": "Thu, 3 Nov 2016 19:09:49 GMT",
"version": "v1"
}
] | 2017-02-01 | [
[
"Mbarek",
"Saoussen",
""
],
[
"Mann",
"Robert B.",
""
]
] | We present explicit expressions of the thermodynamic volume inside and outside the cosmological horizon of Eguchi-Hanson solitons in general odd dimensions. These quantities are calculable and well-defined regardless of whether or not the regularity condition for the soliton is imposed. For the inner case, we show that the reverse isoperimetric inequality is not satisfied for general values of the soliton parameter $a$, though a narrow range exists for which the inequality does hold. For the outer case, we find that the mass $M_{out}$ satisfies the maximal mass conjecture and the volume is positive. We also show that, by requiring $M_{out}$ to yield the mass of dS spacetime when the soliton parameter vanishes, the associated cosmological volume is always positive. |
hep-th/0504010 | Vasilis Niarchos | Angelos Fotopoulos, Vasilis Niarchos, Nikolaos Prezas | D-branes and SQCD in Non-Critical Superstring Theory | harvmac, 47 pages, 6 figures; v4 same as v3 due to submission error | JHEP 0510 (2005) 081 | 10.1088/1126-6708/2005/10/081 | null | hep-th | null | Using exact boundary conformal field theory methods we analyze the D-brane
physics of a specific four-dimensional non-critical superstring theory which
involves the N=2 SL(2)/U(1) Kazama-Suzuki model at level 1. Via the holographic
duality of hep-th/9907178 our results are relevant for D-brane dynamics in the
background of NS5-branes and D-brane dynamics near a conifold singularity. We
pay special attention to a configuration of D3- and D5-branes that realizes N=1
supersymmetric QCD and discuss the massless spectrum and classical moduli of
this setup in detail. We also comment briefly on the implications of this
construction for the recently proposed generalization of the AdS/CFT
correspondence by Klebanov and Maldacena within the setting of non-critical
superstrings.
| [
{
"created": "Fri, 1 Apr 2005 17:47:05 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2005 20:14:55 GMT",
"version": "v2"
},
{
"created": "Sat, 24 Sep 2005 10:17:50 GMT",
"version": "v3"
},
{
"created": "Tue, 27 Sep 2005 13:56:17 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Fotopoulos",
"Angelos",
""
],
[
"Niarchos",
"Vasilis",
""
],
[
"Prezas",
"Nikolaos",
""
]
] | Using exact boundary conformal field theory methods we analyze the D-brane physics of a specific four-dimensional non-critical superstring theory which involves the N=2 SL(2)/U(1) Kazama-Suzuki model at level 1. Via the holographic duality of hep-th/9907178 our results are relevant for D-brane dynamics in the background of NS5-branes and D-brane dynamics near a conifold singularity. We pay special attention to a configuration of D3- and D5-branes that realizes N=1 supersymmetric QCD and discuss the massless spectrum and classical moduli of this setup in detail. We also comment briefly on the implications of this construction for the recently proposed generalization of the AdS/CFT correspondence by Klebanov and Maldacena within the setting of non-critical superstrings. |
1310.4194 | Erik Plauschinn | Erik Plauschinn | T-duality revisited | 43 pages, 5 figures; v2: references added, discussion clarified,
conclusions in section 2 changed; v3: published version | JHEP01 (2014) 131 | 10.1007/JHEP01(2014)131 | DFPD-2013-TH-19 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the transformation rules of the metric and Kalb-Ramond field under
T-duality, and express the corresponding relations in terms of the metric G and
the field strength H=dB. In the course of the derivation, we find an
explanation for potential reductions of the isometry group in the dual
background.
The formalism employed in this paper is illustrated with examples based on
tori and spheres, where for the latter we construct a new non-geometric
background.
| [
{
"created": "Tue, 15 Oct 2013 20:29:33 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2013 16:48:41 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jan 2014 09:50:30 GMT",
"version": "v3"
}
] | 2014-01-30 | [
[
"Plauschinn",
"Erik",
""
]
] | We revisit the transformation rules of the metric and Kalb-Ramond field under T-duality, and express the corresponding relations in terms of the metric G and the field strength H=dB. In the course of the derivation, we find an explanation for potential reductions of the isometry group in the dual background. The formalism employed in this paper is illustrated with examples based on tori and spheres, where for the latter we construct a new non-geometric background. |
1302.5138 | Ricardo Schiappa | Ricardo Schiappa, Ricardo Vaz | The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painleve
II Equation | 67 pages, 12 figures; v2: minor changes, final version in CMP | null | 10.1007/s00220-014-2028-7 | YITP-SB-13-07 | hep-th cond-mat.stat-mech math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Resurgent transseries have recently been shown to be a very powerful
construction in order to completely describe nonperturbative phenomena in both
matrix models and topological or minimal strings. These solutions encode the
full nonperturbative content of a given gauge or string theory, where
resurgence relates every (generalized) multi-instanton sector to each other via
large-order analysis. The Stokes phase is the adequate gauge theory phase where
an 't Hooft large N expansion exists and where resurgent transseries are most
simply constructed. This paper addresses the nonperturbative study of Stokes
phases associated to multi-cut solutions of generic matrix models, constructing
nonperturbative solutions for their free energies and exploring the asymptotic
large-order behavior around distinct multi-instanton sectors. Explicit formulae
are presented for the Z_2 symmetric two-cut set-up, addressing the cases of the
quartic matrix model in its two-cut Stokes phase; the "triple" Penner potential
which yields four-point correlation functions in the AGT framework; and the
Painleve II equation describing minimal superstrings.
| [
{
"created": "Wed, 20 Feb 2013 22:32:48 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jan 2015 21:58:34 GMT",
"version": "v2"
}
] | 2015-06-15 | [
[
"Schiappa",
"Ricardo",
""
],
[
"Vaz",
"Ricardo",
""
]
] | Resurgent transseries have recently been shown to be a very powerful construction in order to completely describe nonperturbative phenomena in both matrix models and topological or minimal strings. These solutions encode the full nonperturbative content of a given gauge or string theory, where resurgence relates every (generalized) multi-instanton sector to each other via large-order analysis. The Stokes phase is the adequate gauge theory phase where an 't Hooft large N expansion exists and where resurgent transseries are most simply constructed. This paper addresses the nonperturbative study of Stokes phases associated to multi-cut solutions of generic matrix models, constructing nonperturbative solutions for their free energies and exploring the asymptotic large-order behavior around distinct multi-instanton sectors. Explicit formulae are presented for the Z_2 symmetric two-cut set-up, addressing the cases of the quartic matrix model in its two-cut Stokes phase; the "triple" Penner potential which yields four-point correlation functions in the AGT framework; and the Painleve II equation describing minimal superstrings. |
0805.1982 | Marek Rogatko | Marek Rogatko | Uniqueness theorem for stationary black ring solution of $\sigma$-models
in five dimensions | 6 pages RevTex, to be published in Phys.Rev.D15 | Phys.Rev.D77:124037,2008 | 10.1103/PhysRevD.77.124037 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study axisymmetric self-gravitating non-linear $\sigma$-model in
five-dimensional spacetime admitting three commutating Killing vector fields.
We show that the only asymptotically flat black ring solution with a regular
event horizon is the black ring characterized by mass and two angular momenta
with constant mapping.
| [
{
"created": "Wed, 14 May 2008 06:52:19 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Rogatko",
"Marek",
""
]
] | We study axisymmetric self-gravitating non-linear $\sigma$-model in five-dimensional spacetime admitting three commutating Killing vector fields. We show that the only asymptotically flat black ring solution with a regular event horizon is the black ring characterized by mass and two angular momenta with constant mapping. |
2103.05516 | Yen Chin Ong | Sofia Di Gennaro, Yen Chin Ong | How Not to Extract Information From Black Holes: Cosmic Censorship as a
Guiding Principle | v3: results modified due to errors found in some numerical codes | Phys.Lett.B 829 (2022) 137112 | 10.1016/j.physletb.2022.137112 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black holes in general relativity are commonly believed to evolve towards a
Schwarzschild state as they gradually lose angular momentum and electrical
charge under Hawking evaporation. However, when Kim and Wen applied quantum
information theory to Hawking evaporation and argued that Hawking particles
with maximum mutual information could dominate the emission process, they found
that charged black holes tend towards extremality. In view of some evidence
pointing towards extremal black holes being effectively singular, this would
violate the cosmic censorship conjecture. Nevertheless, since the Kim-Wen model
is too simplistic (e.g. it assumes a continuous spectrum of particles with
arbitrary charge-to-mass ratio), one might hope that a more realistic model
could avoid this problem. In this work, we show that having only a finite
species of charged particles would actually worsen the situation, with some end
states becoming a naked singularity. With this model as an example, we
emphasize the need to study whether charged black holes can violate cosmic
censorship under a given model of Hawking evaporation.
| [
{
"created": "Tue, 9 Mar 2021 16:00:12 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Jun 2021 11:50:15 GMT",
"version": "v2"
},
{
"created": "Sat, 12 Mar 2022 15:33:50 GMT",
"version": "v3"
}
] | 2022-04-27 | [
[
"Di Gennaro",
"Sofia",
""
],
[
"Ong",
"Yen Chin",
""
]
] | Black holes in general relativity are commonly believed to evolve towards a Schwarzschild state as they gradually lose angular momentum and electrical charge under Hawking evaporation. However, when Kim and Wen applied quantum information theory to Hawking evaporation and argued that Hawking particles with maximum mutual information could dominate the emission process, they found that charged black holes tend towards extremality. In view of some evidence pointing towards extremal black holes being effectively singular, this would violate the cosmic censorship conjecture. Nevertheless, since the Kim-Wen model is too simplistic (e.g. it assumes a continuous spectrum of particles with arbitrary charge-to-mass ratio), one might hope that a more realistic model could avoid this problem. In this work, we show that having only a finite species of charged particles would actually worsen the situation, with some end states becoming a naked singularity. With this model as an example, we emphasize the need to study whether charged black holes can violate cosmic censorship under a given model of Hawking evaporation. |
hep-th/0410071 | Mofazzal Azam | Mofazzal Azam | Divergence of the $1/N_f$ series expansion in QED | abstract changed, main text revised | null | null | null | hep-th cond-mat.other quant-ph | null | The perturbative expansion series in coupling constant in QED is divergent.
It is either an asymptotic series or an arrangement of a conditionally
convergent series. The sum of these types of series depends on the way we
arrange partial sums for successive approximations. The $1/N_f$ series
expansion, where $N_f$ is the number of flavours, defines a rearrangement of
this series, and therefore, its convergence would serve as a proof that the
perturbative series is, in fact, conditionallyconvergent.Unfortunately, the
$1/N_f$ series also diverges.We proof this usingarguments similar to those of
Dyson.
We expect that some of the ideas and techniques discussed in our paper will
find some use in finding the true nature of the perturbative series in coupling
constant as well as the $1/N_f$ expansion series.
| [
{
"created": "Thu, 7 Oct 2004 09:59:52 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Dec 2004 09:07:34 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Apr 2005 09:12:37 GMT",
"version": "v3"
}
] | 2016-09-06 | [
[
"Azam",
"Mofazzal",
""
]
] | The perturbative expansion series in coupling constant in QED is divergent. It is either an asymptotic series or an arrangement of a conditionally convergent series. The sum of these types of series depends on the way we arrange partial sums for successive approximations. The $1/N_f$ series expansion, where $N_f$ is the number of flavours, defines a rearrangement of this series, and therefore, its convergence would serve as a proof that the perturbative series is, in fact, conditionallyconvergent.Unfortunately, the $1/N_f$ series also diverges.We proof this usingarguments similar to those of Dyson. We expect that some of the ideas and techniques discussed in our paper will find some use in finding the true nature of the perturbative series in coupling constant as well as the $1/N_f$ expansion series. |
1106.4694 | Jerome P. Gauntlett | Jerome P. Gauntlett, Julian Sonner and Daniel Waldram | Universal fermionic spectral functions from string theory | 5 pages. Content the same, but significant change of presentation.
Version to be published in Phys. Rev. Lett | null | 10.1103/PhysRevLett.107.241601 | Imperial/TP/2011/JG/03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We carry out the first holographic calculation of a fermionic response
function for a strongly coupled $d=3$ system with an explicit D=10 or D=11
supergravity dual. By considering the supersymmetry current, we obtain a
universal result applicable to all d=3 N=2 SCFTs with such duals. Surprisingly,
the spectral function does not exhibit a Fermi surface, despite the fact that
the system is at finite charge density. We show that it has a phonino pole and
at low frequencies there is a depletion of spectral weight with a power-law
scaling which is governed by a locally quantum critical point.
| [
{
"created": "Thu, 23 Jun 2011 12:21:16 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2011 08:08:05 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Gauntlett",
"Jerome P.",
""
],
[
"Sonner",
"Julian",
""
],
[
"Waldram",
"Daniel",
""
]
] | We carry out the first holographic calculation of a fermionic response function for a strongly coupled $d=3$ system with an explicit D=10 or D=11 supergravity dual. By considering the supersymmetry current, we obtain a universal result applicable to all d=3 N=2 SCFTs with such duals. Surprisingly, the spectral function does not exhibit a Fermi surface, despite the fact that the system is at finite charge density. We show that it has a phonino pole and at low frequencies there is a depletion of spectral weight with a power-law scaling which is governed by a locally quantum critical point. |
1412.3722 | Yi-Jian Du | Gang Chen, Yi-Jian Du, Shuyi Li, Hanqing Liu | Note on off-shell relations in nonlinear sigma model | 28 pages, 1 table, 11 figures, improved version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we investigate relations between tree-level off-shell currents
in nonlinear sigma model. Under Cayley parametrization, all odd-point currents
vanish. We propose and prove a generalized $U(1)$ identity for even-point
currents. The off-shell $U(1)$ identity given in [1] is a special case of the
generalized identity studied in this note. The on-shell limit of this identity
is equivalent with the on-shell KK relation. Thus this relation provides the
full off-shell correspondence of tree-level KK relation in nonlinear sigma
model.
| [
{
"created": "Thu, 11 Dec 2014 16:50:29 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 2015 08:38:21 GMT",
"version": "v2"
}
] | 2015-02-10 | [
[
"Chen",
"Gang",
""
],
[
"Du",
"Yi-Jian",
""
],
[
"Li",
"Shuyi",
""
],
[
"Liu",
"Hanqing",
""
]
] | In this note, we investigate relations between tree-level off-shell currents in nonlinear sigma model. Under Cayley parametrization, all odd-point currents vanish. We propose and prove a generalized $U(1)$ identity for even-point currents. The off-shell $U(1)$ identity given in [1] is a special case of the generalized identity studied in this note. The on-shell limit of this identity is equivalent with the on-shell KK relation. Thus this relation provides the full off-shell correspondence of tree-level KK relation in nonlinear sigma model. |
hep-th/0602062 | Allen Stern | A. Stern | Non-constant Non-commutativity in 2d Field Theories and a New Look at
Fuzzy Monopoles | 27 pages | Nucl.Phys.B745:236-259,2006 | 10.1016/j.nuclphysb.2006.04.001 | null | hep-th | null | We write down scalar field theory and gauge theory on two-dimensional
noncommutative spaces ${\cal M}$ with nonvanishing curvature and non-constant
non-commutativity. Usual dynamics results upon taking the limit of ${\cal M}$
going to i) a commutative manifold ${\cal M}_0$ having nonvanishing curvature
and ii) the noncommutative plane. Our procedure does not require introducing
singular algebraic maps or frame fields. Rather, we exploit the K\"ahler
structure in the limit i) and identify the symplectic two-form with the volume
two-form. As an example, we take ${\cal M}$ to be the stereographically
projected fuzzy sphere, and find magnetic monopole solutions to the
noncommutative Maxwell equations. Although the magnetic charges are conserved,
the classical theory does not require that they be quantized. The
noncommutative gauge field strength transforms in the usual manner, but the
same is not, in general, true for the associated potentials. We develop a
perturbation scheme to obtain the expression for gauge transformations about
limits i) and ii). We also obtain the lowest order Seiberg-Witten map to write
down corrections to the commutative field equations and show that solutions to
Maxwell theory on ${\cal M}_0$ are stable under inclusion of lowest order
noncommutative corrections. The results are applied to the example of
noncommutative AdS${}^2$.
| [
{
"created": "Mon, 6 Feb 2006 21:41:47 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2006 19:34:14 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Apr 2006 20:53:40 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Stern",
"A.",
""
]
] | We write down scalar field theory and gauge theory on two-dimensional noncommutative spaces ${\cal M}$ with nonvanishing curvature and non-constant non-commutativity. Usual dynamics results upon taking the limit of ${\cal M}$ going to i) a commutative manifold ${\cal M}_0$ having nonvanishing curvature and ii) the noncommutative plane. Our procedure does not require introducing singular algebraic maps or frame fields. Rather, we exploit the K\"ahler structure in the limit i) and identify the symplectic two-form with the volume two-form. As an example, we take ${\cal M}$ to be the stereographically projected fuzzy sphere, and find magnetic monopole solutions to the noncommutative Maxwell equations. Although the magnetic charges are conserved, the classical theory does not require that they be quantized. The noncommutative gauge field strength transforms in the usual manner, but the same is not, in general, true for the associated potentials. We develop a perturbation scheme to obtain the expression for gauge transformations about limits i) and ii). We also obtain the lowest order Seiberg-Witten map to write down corrections to the commutative field equations and show that solutions to Maxwell theory on ${\cal M}_0$ are stable under inclusion of lowest order noncommutative corrections. The results are applied to the example of noncommutative AdS${}^2$. |
1511.04748 | Harold Blas | H. Blas and M. Zambrano | Quasi-integrability in the modified defocusing non-linear Schr\"odinger
model and dark solitons | LaTex, 52 pages, 20 figures. New Figs. and some discussions added
regarding vanishing anomalies of two-soliton collisions with different
amplitudes | null | null | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of quasi-integrability has been examined in the context of
deformations of the defocusing non-linear Schr\"odinger model (NLS). Our
results show that the quasi-integrability concept, recently discussed in the
context of deformations of the sine-Gordon, Bullough-Dodd and focusing NLS
models, holds for the modified defocusing NLS model with dark soliton solutions
and it exhibits the new feature of an infinite sequence of alternating
conserved and asymptotically conserved charges. For the special case of two
dark soliton solutions, where the field components are eigenstates of a
space-reflection symmetry, the first four and the sequence of even order
charges are exactly conserved in the scattering process of the solitons. Such
results are obtained through analytical and numerical methods, and employ
adaptations of algebraic techniques used in integrable field theories. We
perform extensive numerical simulations and consider the scattering of dark
solitons for the cubic-quintic NLS model with potential $V =\eta I^2 -
\frac{\epsilon}{6} I^3 $ and the saturable type potential satisfying $V'[I] =2
\eta I - \frac{\epsilon I^q}{1+ I^q},\,q \in \IZ_{+}$, with a deformation
parameter $\epsilon \in \IR$ and $I=|\psi|^2$. The issue of the renormalization
of the charges and anomalies, and their (quasi)conservation laws are properly
addressed. The saturable NLS supports elastic scattering of two soliton
solutions for a wide range of values of $\{\eta, \epsilon, n\}$. Our results
may find potential applications in several areas of non-linear science, such as
the Bose-Einstein condensation.
| [
{
"created": "Sun, 15 Nov 2015 18:20:54 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Jan 2016 19:47:15 GMT",
"version": "v2"
}
] | 2016-01-26 | [
[
"Blas",
"H.",
""
],
[
"Zambrano",
"M.",
""
]
] | The concept of quasi-integrability has been examined in the context of deformations of the defocusing non-linear Schr\"odinger model (NLS). Our results show that the quasi-integrability concept, recently discussed in the context of deformations of the sine-Gordon, Bullough-Dodd and focusing NLS models, holds for the modified defocusing NLS model with dark soliton solutions and it exhibits the new feature of an infinite sequence of alternating conserved and asymptotically conserved charges. For the special case of two dark soliton solutions, where the field components are eigenstates of a space-reflection symmetry, the first four and the sequence of even order charges are exactly conserved in the scattering process of the solitons. Such results are obtained through analytical and numerical methods, and employ adaptations of algebraic techniques used in integrable field theories. We perform extensive numerical simulations and consider the scattering of dark solitons for the cubic-quintic NLS model with potential $V =\eta I^2 - \frac{\epsilon}{6} I^3 $ and the saturable type potential satisfying $V'[I] =2 \eta I - \frac{\epsilon I^q}{1+ I^q},\,q \in \IZ_{+}$, with a deformation parameter $\epsilon \in \IR$ and $I=|\psi|^2$. The issue of the renormalization of the charges and anomalies, and their (quasi)conservation laws are properly addressed. The saturable NLS supports elastic scattering of two soliton solutions for a wide range of values of $\{\eta, \epsilon, n\}$. Our results may find potential applications in several areas of non-linear science, such as the Bose-Einstein condensation. |
hep-th/0212257 | Bert Janssen | Bert Janssen, Yolanda Lozano | Non-Abelian Giant Gravitons | 8 pages. Contribution to the proceedings of the RTN workshop in
Leuven, Belgium, September 2002 | Class.Quant.Grav. 20 (2003) S517-S524 | 10.1088/0264-9381/20/12/318 | KUL-TF/02-15, FFUOV-02/09 | hep-th | null | We argue that the giant graviton configurations known from the literature
have a complementary, microscopical description in terms of multiple
gravitational waves undergoing a dielectric (or magnetic moment) effect. We
present a non-Abelian effective action for these gravitational waves with
dielectric couplings and show that stable dielectric solutions exist. These
solutions agree in the large $N$ limit with the giant graviton configurations
in the literature.
| [
{
"created": "Fri, 20 Dec 2002 09:24:00 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Janssen",
"Bert",
""
],
[
"Lozano",
"Yolanda",
""
]
] | We argue that the giant graviton configurations known from the literature have a complementary, microscopical description in terms of multiple gravitational waves undergoing a dielectric (or magnetic moment) effect. We present a non-Abelian effective action for these gravitational waves with dielectric couplings and show that stable dielectric solutions exist. These solutions agree in the large $N$ limit with the giant graviton configurations in the literature. |
1109.1468 | Carlos A. R. Herdeiro | Carlos Herdeiro and Shinji Hirano | Scale invariance and a gravitational model with non-eternal inflation | 13 pages, 4 figures; revised version accepted in JCAP | null | 10.1088/1475-7516/2012/05/031 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a 3 + 1 dimensional model of gravity which results in inflation at
early times, followed by radiation- and matter-dominated epochs and a
subsequent acceleration at late times. Both the inflation and late time
acceleration are nearly de Sitter with a large hierarchy between the effective
cosmological constants. There is no scalar field agent of inflation, and the
transition from the inflation to the radiation-dominated period is smooth. This
model is designed so that it yields, at the cost of giving up on Lorentz
invariance in the gravitational sector, the Dirac-Born-Infeld type conformal
scalar theory when the universe is conformally flat. It, however, resembles
Einstein's gravity with the Gibbons-Hawking-York boundary term in weakly curved
space-times.
| [
{
"created": "Wed, 7 Sep 2011 14:25:37 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2012 00:02:34 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Herdeiro",
"Carlos",
""
],
[
"Hirano",
"Shinji",
""
]
] | We propose a 3 + 1 dimensional model of gravity which results in inflation at early times, followed by radiation- and matter-dominated epochs and a subsequent acceleration at late times. Both the inflation and late time acceleration are nearly de Sitter with a large hierarchy between the effective cosmological constants. There is no scalar field agent of inflation, and the transition from the inflation to the radiation-dominated period is smooth. This model is designed so that it yields, at the cost of giving up on Lorentz invariance in the gravitational sector, the Dirac-Born-Infeld type conformal scalar theory when the universe is conformally flat. It, however, resembles Einstein's gravity with the Gibbons-Hawking-York boundary term in weakly curved space-times. |
1504.01400 | Valentin Reys | Sameer Murthy and Valentin Reys | Functional determinants, index theorems, and exact quantum black hole
entropy | 47 pages; v3 accepted for publication in JHEP | null | 10.1007/JHEP12(2015)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The exact quantum entropy of BPS black holes can be evaluated using
localization in supergravity. An important ingredient in this program, that has
been lacking so far, is the one-loop effect arising from the quadratic
fluctuations of the exact deformation (the $Q\mathcal{V}$ operator). We compute
the fluctuation determinant for vector multiplets and hyper multiplets around
$Q$-invariant off-shell configurations in four-dimensional $\mathcal{N}=2$
supergravity with $AdS_{2} \times S^{2}$ boundary conditions, using the
Atiyah-Bott fixed-point index theorem and a subsequent zeta function
regularization. Our results extend the large-charge on-shell entropy
computations in the literature to a regime of finite charges. Based on our
results, we present an exact formula for the quantum entropy of BPS black holes
in $\mathcal{N}=2$ supergravity. We explain cancellations concerning
$\frac18$-BPS black holes in $\mathcal{N}=8$ supergravity that were observed in
arXiv:1111.1161. We also make comments about the interpretation of a
logarithmic term in the topological string partition function in the low energy
supergravity theory.
| [
{
"created": "Mon, 6 Apr 2015 20:03:48 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Aug 2015 09:26:14 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Dec 2015 17:49:37 GMT",
"version": "v3"
}
] | 2016-01-27 | [
[
"Murthy",
"Sameer",
""
],
[
"Reys",
"Valentin",
""
]
] | The exact quantum entropy of BPS black holes can be evaluated using localization in supergravity. An important ingredient in this program, that has been lacking so far, is the one-loop effect arising from the quadratic fluctuations of the exact deformation (the $Q\mathcal{V}$ operator). We compute the fluctuation determinant for vector multiplets and hyper multiplets around $Q$-invariant off-shell configurations in four-dimensional $\mathcal{N}=2$ supergravity with $AdS_{2} \times S^{2}$ boundary conditions, using the Atiyah-Bott fixed-point index theorem and a subsequent zeta function regularization. Our results extend the large-charge on-shell entropy computations in the literature to a regime of finite charges. Based on our results, we present an exact formula for the quantum entropy of BPS black holes in $\mathcal{N}=2$ supergravity. We explain cancellations concerning $\frac18$-BPS black holes in $\mathcal{N}=8$ supergravity that were observed in arXiv:1111.1161. We also make comments about the interpretation of a logarithmic term in the topological string partition function in the low energy supergravity theory. |
1705.06626 | Roman Kolevatov | R. Kolevatov, S. Mironov, N. Sukhov, V. Volkova | Cosmological bounce and Genesis beyond Horndeski | 26 pages, 9 figures | null | 10.1088/1475-7516/2017/08/038 | INR-TH-2017-015 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a "classical" bouncing scenario in beyond Horndeski theory. We give
an example of spatially flat bouncing solution that is non-singular and stable
throughout the whole evolution. The model is arranged in such a way that the
scalar field driving the cosmological evolution initially behaves like
full-fledged beyond Horndeski, whereas at late times it becomes a massless
scalar field minimally coupled to gravity.
| [
{
"created": "Thu, 18 May 2017 14:49:48 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jun 2017 14:05:42 GMT",
"version": "v2"
}
] | 2017-09-06 | [
[
"Kolevatov",
"R.",
""
],
[
"Mironov",
"S.",
""
],
[
"Sukhov",
"N.",
""
],
[
"Volkova",
"V.",
""
]
] | We study a "classical" bouncing scenario in beyond Horndeski theory. We give an example of spatially flat bouncing solution that is non-singular and stable throughout the whole evolution. The model is arranged in such a way that the scalar field driving the cosmological evolution initially behaves like full-fledged beyond Horndeski, whereas at late times it becomes a massless scalar field minimally coupled to gravity. |
hep-th/0008005 | Balachandran Sathiapalan | B. Sathiapalan | Loop Variables and Gauge Invariant Interactions - II | 27 pages, Latex | Int.J.Mod.Phys. A16 (2001) 1679-1702 | 10.1142/S0217751X01002762 | IMSC/2000/02/44 | hep-th | null | We continue the discussion of our previous paper on writing down gauge
invariant interacting equations for a bosonic string using the loop variable
approach. In the earlier paper the equations were written down in one higher
dimension where the fields are massless. In this paper we describe a procedure
for dimensional reduction that gives interacting equations for fields with the
same spectrum as in bosonic string theory. We also argue that the on-shell
scattering amplitudes implied by these equations for the physical modes are the
same as for the bosonic string. We check this explicitly for some of the
simpler equations. The gauge transformation of space-time fields induced by
gauge transformations of the loop variables are discussed in some detail. The
unintegrated (i.e. before the Koba-Nielsen integration), regularized version of
the equations, are gauge invariant off-shell (i.e. off the {\em free} mass
shell).
| [
{
"created": "Tue, 1 Aug 2000 04:29:46 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Sathiapalan",
"B.",
""
]
] | We continue the discussion of our previous paper on writing down gauge invariant interacting equations for a bosonic string using the loop variable approach. In the earlier paper the equations were written down in one higher dimension where the fields are massless. In this paper we describe a procedure for dimensional reduction that gives interacting equations for fields with the same spectrum as in bosonic string theory. We also argue that the on-shell scattering amplitudes implied by these equations for the physical modes are the same as for the bosonic string. We check this explicitly for some of the simpler equations. The gauge transformation of space-time fields induced by gauge transformations of the loop variables are discussed in some detail. The unintegrated (i.e. before the Koba-Nielsen integration), regularized version of the equations, are gauge invariant off-shell (i.e. off the {\em free} mass shell). |
2105.05015 | Oliver Schnetz | Michael Borinsky and Oliver Schnetz | Graphical functions in even dimensions | 67 pages, 36 figures | Commun. Number Theory Phys. 16 (2022) 515-614 | 10.4310/CNTP.2022.v16.n3.a3 | Nikhef-2021-007 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | Graphical functions are special position space Feynman integrals, which can
be used to calculate Feynman periods and one- or two-scale processes at high
loop orders. With graphical functions, renormalization constants have been
calculated to loop orders seven and eight in four-dimensional $\phi^4$ theory
and to order five in six-dimensional $\phi^3$ theory. In this article we
present the theory of graphical functions in even dimensions $\geq4$ with
detailed reviews of known properties and full proofs whenever possible.
| [
{
"created": "Tue, 11 May 2021 13:23:26 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2022 08:46:07 GMT",
"version": "v2"
}
] | 2022-10-06 | [
[
"Borinsky",
"Michael",
""
],
[
"Schnetz",
"Oliver",
""
]
] | Graphical functions are special position space Feynman integrals, which can be used to calculate Feynman periods and one- or two-scale processes at high loop orders. With graphical functions, renormalization constants have been calculated to loop orders seven and eight in four-dimensional $\phi^4$ theory and to order five in six-dimensional $\phi^3$ theory. In this article we present the theory of graphical functions in even dimensions $\geq4$ with detailed reviews of known properties and full proofs whenever possible. |
hep-th/0009058 | Katherine Brading | Katherine Brading (Oxford) and Harvey R. Brown (Oxford) | Noether's Theorems and Gauge Symmetries | 16 pages, 0 figures | null | null | null | hep-th | null | Consideration of the Noether variational problem for any theory whose action
is invariant under global and/or local gauge transformations leads to three
distinct theorems. These include the familiar Noether theorem, but also two
equally important but much less well-known results. We present, in a general
form, all the main results relating to the Noether variational problem for
gauge theories, and we show the relationships between them. These results hold
for both Abelian and non-Abelian gauge theories.
| [
{
"created": "Fri, 8 Sep 2000 13:40:58 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brading",
"Katherine",
"",
"Oxford"
],
[
"Brown",
"Harvey R.",
"",
"Oxford"
]
] | Consideration of the Noether variational problem for any theory whose action is invariant under global and/or local gauge transformations leads to three distinct theorems. These include the familiar Noether theorem, but also two equally important but much less well-known results. We present, in a general form, all the main results relating to the Noether variational problem for gauge theories, and we show the relationships between them. These results hold for both Abelian and non-Abelian gauge theories. |
hep-th/9407023 | Damiano Anselmi | Damiano Anselmi | More on the Subtraction Algorithm | LaTeX file, 37 pages, preprint SISSA/ISAS 90/94/EP | Class.Quant.Grav.12:319-350,1995 | 10.1088/0264-9381/12/2/005 | null | hep-th | null | We go on in the program of investigating the removal of divergences of a
generical quantum gauge field theory, in the context of the Batalin-Vilkovisky
formalism. We extend to open gauge-algebrae a recently formulated algorithm,
based on redefinitions $\delta\lambda$ of the parameters $\lambda$ of the
classical Lagrangian and canonical transformations, by generalizing a well-
known conjecture on the form of the divergent terms. We also show that it is
possible to reach a complete control on the effects of the subtraction
algorithm on the space ${\cal M}_{gf}$ of the gauge-fixing parameters. A
principal fiber bundle ${\cal E}\rightarrow {\cal M}_{gf}$ with a connection
$\omega_1$ is defined, such that the canonical transformations are gauge
transformations for $\omega_1$. This provides an intuitive geometrical
description of the fact the on shell physical amplitudes cannot depend on
${\cal M}_{gf}$. A geometrical description of the effect of the subtraction
algorithm on the space ${\cal M}_{ph}$ of the physical parameters $\lambda$ is
also proposed. At the end, the full subtraction algorithm can be described as a
series of diffeomorphisms on ${\cal M}_{ph}$, orthogonal to ${\cal M}_{gf}$
(under which the action transforms as a scalar), and gauge transformations on
${\cal E}$. In this geometrical context, a suitable concept of predictivity is
formulated. We give some examples of (unphysical) toy models that satisfy this
requirement, though being neither power counting renormalizable, nor finite.
| [
{
"created": "Tue, 5 Jul 1994 11:13:13 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Anselmi",
"Damiano",
""
]
] | We go on in the program of investigating the removal of divergences of a generical quantum gauge field theory, in the context of the Batalin-Vilkovisky formalism. We extend to open gauge-algebrae a recently formulated algorithm, based on redefinitions $\delta\lambda$ of the parameters $\lambda$ of the classical Lagrangian and canonical transformations, by generalizing a well- known conjecture on the form of the divergent terms. We also show that it is possible to reach a complete control on the effects of the subtraction algorithm on the space ${\cal M}_{gf}$ of the gauge-fixing parameters. A principal fiber bundle ${\cal E}\rightarrow {\cal M}_{gf}$ with a connection $\omega_1$ is defined, such that the canonical transformations are gauge transformations for $\omega_1$. This provides an intuitive geometrical description of the fact the on shell physical amplitudes cannot depend on ${\cal M}_{gf}$. A geometrical description of the effect of the subtraction algorithm on the space ${\cal M}_{ph}$ of the physical parameters $\lambda$ is also proposed. At the end, the full subtraction algorithm can be described as a series of diffeomorphisms on ${\cal M}_{ph}$, orthogonal to ${\cal M}_{gf}$ (under which the action transforms as a scalar), and gauge transformations on ${\cal E}$. In this geometrical context, a suitable concept of predictivity is formulated. We give some examples of (unphysical) toy models that satisfy this requirement, though being neither power counting renormalizable, nor finite. |
hep-th/9303050 | Shin Hyun Jong | B.K. Chung, Soonkeon Nam, Q-Han Park, and H.J. Shin | Conformal Turbulence with Boundary | 10pages, KHTP-93-01, SNUCTP-93-05 | Phys.Lett.B309:58-62,1993 | 10.1016/0370-2693(93)91503-F | null | hep-th | null | Based upon the formalism of conformal field theory with a boundary, we give a
description of the boundary effect on fully developed two dimensional
turbulence. Exact one and two point velocity correlation functions and energy
power spectrum confined in the upper half plane are obtained using the image
method. This result enables us to address the infrared problem of the theory of
conformal turbulence.
| [
{
"created": "Tue, 9 Mar 1993 09:53:13 GMT",
"version": "v1"
}
] | 2010-02-05 | [
[
"Chung",
"B. K.",
""
],
[
"Nam",
"Soonkeon",
""
],
[
"Park",
"Q-Han",
""
],
[
"Shin",
"H. J.",
""
]
] | Based upon the formalism of conformal field theory with a boundary, we give a description of the boundary effect on fully developed two dimensional turbulence. Exact one and two point velocity correlation functions and energy power spectrum confined in the upper half plane are obtained using the image method. This result enables us to address the infrared problem of the theory of conformal turbulence. |
hep-th/0410134 | Kokorelis | Christos Kokorelis | Standard Model Building from Intersecting D-Branes | Invited article to appear in the series "Focus on String Theory", by
Nova Science Publishers, Inc., NY; LaTex, 24 pages, 2 figures | null | null | null | hep-th | null | We provide a general overview of the current state of the art in four
dimensional three generation model building proposals - using intersecting
D-brane toroidal compactifications [without fluxes] of IIA, IIB string theories
- which have only the SM at low energy. In this context, we focus on these
model building directions, where non-supersymmetric constructions - based on
the existence of the gauge group structure $SU(3)_c \times SU(2)_L \times
U(1)_Y$, Pati-Salam $SU(4)_C \times SU(2)_L \times SU(2)_R$, SU(5) and flipped
SU(5) GUTS - appear at the string scale $M_s$. These model building attempts
are based on four dimensional compactifications that use orientifolds of either
IIA theory with D6-branes wrapping on $T^6$, $T^6/Z_3$ and recently on $T^6/Z_3
\times Z_3$ or of IIB theory with D5-branes wrapping on $T^4 \times C/Z_N$.
Models with D5-branes are compatible with the large extra dimension scenario
and a low string scale that could be at the TeV; thus there is no gauge
hierarchy problem in the Higgs sector. In the case of flipped SU(5) GUTS -
coming from $T^6/Z_3$ - the special build up structure of the models
accommodates naturally a see-saw mechanism and a new solution to the
doublet-triplet splitting problem. Baryon number is a gauged symmetry and thus
proton is naturally stable only in models with D5 branes or in models with
D6-branes wrapping toroidal orientifolds of type IIA. Finally, we present new
RR tadpole solutions for the 5- and 6- stack toroidal orientifold models of
type IIA which have only the Standard Model with right handed neutrinos at low
energy.
| [
{
"created": "Tue, 12 Oct 2004 11:43:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kokorelis",
"Christos",
""
]
] | We provide a general overview of the current state of the art in four dimensional three generation model building proposals - using intersecting D-brane toroidal compactifications [without fluxes] of IIA, IIB string theories - which have only the SM at low energy. In this context, we focus on these model building directions, where non-supersymmetric constructions - based on the existence of the gauge group structure $SU(3)_c \times SU(2)_L \times U(1)_Y$, Pati-Salam $SU(4)_C \times SU(2)_L \times SU(2)_R$, SU(5) and flipped SU(5) GUTS - appear at the string scale $M_s$. These model building attempts are based on four dimensional compactifications that use orientifolds of either IIA theory with D6-branes wrapping on $T^6$, $T^6/Z_3$ and recently on $T^6/Z_3 \times Z_3$ or of IIB theory with D5-branes wrapping on $T^4 \times C/Z_N$. Models with D5-branes are compatible with the large extra dimension scenario and a low string scale that could be at the TeV; thus there is no gauge hierarchy problem in the Higgs sector. In the case of flipped SU(5) GUTS - coming from $T^6/Z_3$ - the special build up structure of the models accommodates naturally a see-saw mechanism and a new solution to the doublet-triplet splitting problem. Baryon number is a gauged symmetry and thus proton is naturally stable only in models with D5 branes or in models with D6-branes wrapping toroidal orientifolds of type IIA. Finally, we present new RR tadpole solutions for the 5- and 6- stack toroidal orientifold models of type IIA which have only the Standard Model with right handed neutrinos at low energy. |
0910.5132 | Sayan Chakrabarti | Sayan K. Chakrabarti, Sachin Jain, Sudipta Mukherji | Viscosity to entropy ratio at extremality | 7 pages, some typos corrected, conclusion added, journal version | JHEP 1001:068,2010 | 10.1007/JHEP01(2010)068 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Assuming gauge theory realization at the boundary, we show that the viscosity
to entropy ratio is 1/(4 pi) where the bulk is represented by a large class of
extremal black holes in anti-de Sitter space. In particular, this class
includes multiple R-charged black holes in various dimensions.
| [
{
"created": "Tue, 27 Oct 2009 14:19:05 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2009 15:25:02 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Jan 2010 08:48:37 GMT",
"version": "v3"
}
] | 2010-03-12 | [
[
"Chakrabarti",
"Sayan K.",
""
],
[
"Jain",
"Sachin",
""
],
[
"Mukherji",
"Sudipta",
""
]
] | Assuming gauge theory realization at the boundary, we show that the viscosity to entropy ratio is 1/(4 pi) where the bulk is represented by a large class of extremal black holes in anti-de Sitter space. In particular, this class includes multiple R-charged black holes in various dimensions. |
hep-th/0102009 | Martin Cederwall | Martin Cederwall, Bengt E.W. Nilsson and Dimitrios Tsimpis | The structure of maximally supersymmetric Yang-Mills theory:
constraining higher-order corrections | plain tex, 18 pp., 3 figs | JHEP 0106:034,2001 | 10.1088/1126-6708/2001/06/034 | null | hep-th | null | We solve the superspace Bianchi identities for ten-dimensional supersymmetric
Yang-Mills theory without imposing any kind of constraints apart from the
standard conventional one. In this way we obtain a set of algebraic conditions
on certain fields which in the on-shell theory are constructed as composite
ones out of the physical fields. These conditions must hence be satisfied by
any kind of theory in ten dimensions invariant under supersymmetry and some,
abelian or non-abelian, gauge symmetry. Deformations of the ordinary SYM theory
(as well as the fields) are identified as elements of a certain spinorial
cohomology, giving control over field redefinitions and the distinction between
physically relevant higher-order corrections and those removable by field
redefinitions. The conditions derived severely constrain theories involving
F^2-level terms plus higher-order corrections, as for instance those derived
from open strings as effective gauge theories on D-branes.
| [
{
"created": "Fri, 2 Feb 2001 15:13:57 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Cederwall",
"Martin",
""
],
[
"Nilsson",
"Bengt E. W.",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on certain fields which in the on-shell theory are constructed as composite ones out of the physical fields. These conditions must hence be satisfied by any kind of theory in ten dimensions invariant under supersymmetry and some, abelian or non-abelian, gauge symmetry. Deformations of the ordinary SYM theory (as well as the fields) are identified as elements of a certain spinorial cohomology, giving control over field redefinitions and the distinction between physically relevant higher-order corrections and those removable by field redefinitions. The conditions derived severely constrain theories involving F^2-level terms plus higher-order corrections, as for instance those derived from open strings as effective gauge theories on D-branes. |
0812.2429 | Johanna Knapp | Johanna Knapp, Emanuel Scheidegger | Matrix Factorizations, Massey Products and F-Terms for Two-Parameter
Calabi-Yau Hypersurfaces | 62 pages | Adv. Theor. Math. Phys. 14 (2010), no. 1, 225-307 | null | MPP-2008-160 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss B-type tensor product branes in mirrors of two-parameter
Calabi-Yau hypersurfaces, using the language of matrix factorizations. We
determine the open string moduli of the branes at the Gepner point. By turning
on both bulk and boundary moduli we then deform the brane away from the Gepner
point. Using the deformation theory of matrix factorizations we compute Massey
products. These contain the information about higher order deformations and
obstructions. The obstructions are encoded in the F-term equations, which we
obtain from the Massey product algorithm. We show that the F-terms can be
integrated to an effective superpotential. Our results provide an ingredient
for open/closed mirror symmetry for these hypersurfaces.
| [
{
"created": "Fri, 12 Dec 2008 17:18:10 GMT",
"version": "v1"
}
] | 2012-06-13 | [
[
"Knapp",
"Johanna",
""
],
[
"Scheidegger",
"Emanuel",
""
]
] | We discuss B-type tensor product branes in mirrors of two-parameter Calabi-Yau hypersurfaces, using the language of matrix factorizations. We determine the open string moduli of the branes at the Gepner point. By turning on both bulk and boundary moduli we then deform the brane away from the Gepner point. Using the deformation theory of matrix factorizations we compute Massey products. These contain the information about higher order deformations and obstructions. The obstructions are encoded in the F-term equations, which we obtain from the Massey product algorithm. We show that the F-terms can be integrated to an effective superpotential. Our results provide an ingredient for open/closed mirror symmetry for these hypersurfaces. |
hep-th/9907162 | Haridas Banerjee | H. Banerjee (S.N. Bose National Centre, Calcutta) | Chiral Anomalies In Field Theories | 25 pages LaTeX, Invited article for a book to be published by the
Indian National Science Academy | null | null | SBNC/99-07-01 | hep-th hep-lat | null | The role of the contribution from the fermion mass term in the axial vector
Ward identity in generating the U(1) axial anomaly, both local and global, is
elucidated. Gauge invariance requires the fermion to decouple from the gauge
field if it is very heavy. This identifies the Adler-Bell-Jackiw (ABJ) anomaly
with the asymptotic limit of the sign reversed mass term. In an instanton
background, the chiral limit $(m = 0)$ of the mass term does not vanish but
consists of contributions from fermion zero modes. Space time integral of these
zero mode contributions exactly cancels, thanks to the Atiyah-Singer index
theorem, the integral of the ABJ anomaly and suggests that the Jacobian for
global U(1) chiral transformation is trivial even in an instanton background.
This can be realised in the representation of the fermion partition function in
a Weyl basis. The resolution of the strong CP problem is thus achieved in an
axionless physical world. In chiral gauge theories the fermion partition
function admits of a gauge invariant representation but only at the cost of
locality. Implementation of fermion averaging of the gauge current with the
invariant partition function yields the current whose covariant derivative is
the covariant anomaly. With the covariant current as input one can derive an
integrable current whose covariant derivative is the minimal consistent anomaly
obeying the Wess-Zumino consistency condition. The distinction between the two
currents disappears if either the covariant or the consistent anomaly vanishes.
This is realised only if the fermion belongs to an anomaly-free representation
of the gauge group.
| [
{
"created": "Tue, 20 Jul 1999 07:51:05 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Aug 1999 06:52:27 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Banerjee",
"H.",
"",
"S.N. Bose National Centre, Calcutta"
]
] | The role of the contribution from the fermion mass term in the axial vector Ward identity in generating the U(1) axial anomaly, both local and global, is elucidated. Gauge invariance requires the fermion to decouple from the gauge field if it is very heavy. This identifies the Adler-Bell-Jackiw (ABJ) anomaly with the asymptotic limit of the sign reversed mass term. In an instanton background, the chiral limit $(m = 0)$ of the mass term does not vanish but consists of contributions from fermion zero modes. Space time integral of these zero mode contributions exactly cancels, thanks to the Atiyah-Singer index theorem, the integral of the ABJ anomaly and suggests that the Jacobian for global U(1) chiral transformation is trivial even in an instanton background. This can be realised in the representation of the fermion partition function in a Weyl basis. The resolution of the strong CP problem is thus achieved in an axionless physical world. In chiral gauge theories the fermion partition function admits of a gauge invariant representation but only at the cost of locality. Implementation of fermion averaging of the gauge current with the invariant partition function yields the current whose covariant derivative is the covariant anomaly. With the covariant current as input one can derive an integrable current whose covariant derivative is the minimal consistent anomaly obeying the Wess-Zumino consistency condition. The distinction between the two currents disappears if either the covariant or the consistent anomaly vanishes. This is realised only if the fermion belongs to an anomaly-free representation of the gauge group. |
hep-th/9810039 | Mauro Francaviglia | Lorenzo Fatibene, Marco Ferraris, Mauro Francaviglia, Marco Raiteri | Remarks on Noether charges and black holes entropy | null | Annals Phys. 275 (1999) 27-53 | 10.1006/aphy.1999.5915 | null | hep-th | null | We criticize and generalize some properties of Noether charges presented in a
paper by V. Iyer and R. M. Wald and their application to entropy of black
holes. The first law of black holes thermodynamics is proven for any
gauge-natural field theory. As an application charged Kerr-Newman solutions are
considered. As a further example we consider a (1+2) black hole solution.
| [
{
"created": "Tue, 6 Oct 1998 12:05:50 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Oct 1998 06:49:21 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Fatibene",
"Lorenzo",
""
],
[
"Ferraris",
"Marco",
""
],
[
"Francaviglia",
"Mauro",
""
],
[
"Raiteri",
"Marco",
""
]
] | We criticize and generalize some properties of Noether charges presented in a paper by V. Iyer and R. M. Wald and their application to entropy of black holes. The first law of black holes thermodynamics is proven for any gauge-natural field theory. As an application charged Kerr-Newman solutions are considered. As a further example we consider a (1+2) black hole solution. |
hep-th/9512112 | Randjbar Daemi Seif | S. Randjbar-Daemi and J. Strathdee (ICTP, Trieste) | On the Overlap Prescription for Lattice Regularization of Chiral
Fermions | 32 pages, latex | Nucl.Phys. B466 (1996) 335-360 | 10.1016/0550-3213(96)00068-5 | IC/95/399 | hep-th hep-lat hep-ph | null | Feynman rules for the vacuum amplitude of fermions coupled to external gauge
and Higgs fields in a domain wall lattice model are derived using
time--dependent perturbation theory. They have a clear and simple structure
corresponding to 1--loop vacuum graphs. Their continuum approximations are
extracted by isolating the infrared singularities and it is shown that, in each
order, they reduce to vacuum contributions for chiral fermions. In this sense
the lattice model is seen to constitute a valid regularization of the continuum
theory of chiral fermions coupled to weak and slowly varying gauge and Higgs
fields. The overlap amplitude, while not gauge invariant, exhibits a well
defined (modulo phase conventions) response to gauge transformations of the
background fields. This response reduces in the continuum limit to the expected
chiral anomaly, independently of the phase conventions.
| [
{
"created": "Fri, 15 Dec 1995 14:15:47 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Randjbar-Daemi",
"S.",
"",
"ICTP, Trieste"
],
[
"Strathdee",
"J.",
"",
"ICTP, Trieste"
]
] | Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time--dependent perturbation theory. They have a clear and simple structure corresponding to 1--loop vacuum graphs. Their continuum approximations are extracted by isolating the infrared singularities and it is shown that, in each order, they reduce to vacuum contributions for chiral fermions. In this sense the lattice model is seen to constitute a valid regularization of the continuum theory of chiral fermions coupled to weak and slowly varying gauge and Higgs fields. The overlap amplitude, while not gauge invariant, exhibits a well defined (modulo phase conventions) response to gauge transformations of the background fields. This response reduces in the continuum limit to the expected chiral anomaly, independently of the phase conventions. |
hep-th/0002003 | Tatsuo Suzuki | Tatsuo Suzuki | A Generalization of the Submodel of Nonlinear CP^1 Models | 11 pages | Nucl.Phys. B578 (2000) 515-523 | 10.1016/S0550-3213(00)00191-7 | null | hep-th | null | We generalize the submodel of nonlinear CP^1 models. The generalized models
include higher order derivatives. For the systems of higher order equations, we
construct a B\"acklund-like transformation of solutions and an infinite number
of conserved currents by using the Bell polynomials.
| [
{
"created": "Tue, 1 Feb 2000 02:56:47 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Suzuki",
"Tatsuo",
""
]
] | We generalize the submodel of nonlinear CP^1 models. The generalized models include higher order derivatives. For the systems of higher order equations, we construct a B\"acklund-like transformation of solutions and an infinite number of conserved currents by using the Bell polynomials. |
2107.13925 | Filiberto Ares | Filiberto Ares, Raoul Santachiara, Jacopo Viti | Crossing-symmetric Twist Field Correlators and Entanglement Negativity
in Minimal CFTs | 39 pages, 5 figures, 2 tables. Typos corrected. Final version
published in JHEP | JHEP 10 (2021) 175 | 10.1007/JHEP10(2021)175 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study conformal twist field four-point functions on a $\mathbb Z_N$
orbifold. We examine in detail the case $N=3$ and analyze theories obtained by
replicated $N$-times a minimal model with central charge $c<1$. A fastly
convergent expansion of the twist field correlation function in terms of sphere
conformal blocks with central charge $Nc$ is obtained by exploiting covering
map techniques. We discuss extensive applications of the formalism to the
entanglement of two disjoint intervals in CFT, in particular we propose a
conformal block expansion for the partially transposed reduced density matrix.
Finally, we refine the bounds on the structure constants of unitary CFTs
determined previously by the genus two modular bootstrap.
| [
{
"created": "Thu, 29 Jul 2021 12:04:12 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Oct 2021 13:03:07 GMT",
"version": "v2"
}
] | 2021-11-02 | [
[
"Ares",
"Filiberto",
""
],
[
"Santachiara",
"Raoul",
""
],
[
"Viti",
"Jacopo",
""
]
] | We study conformal twist field four-point functions on a $\mathbb Z_N$ orbifold. We examine in detail the case $N=3$ and analyze theories obtained by replicated $N$-times a minimal model with central charge $c<1$. A fastly convergent expansion of the twist field correlation function in terms of sphere conformal blocks with central charge $Nc$ is obtained by exploiting covering map techniques. We discuss extensive applications of the formalism to the entanglement of two disjoint intervals in CFT, in particular we propose a conformal block expansion for the partially transposed reduced density matrix. Finally, we refine the bounds on the structure constants of unitary CFTs determined previously by the genus two modular bootstrap. |
1010.5784 | Kyriakos Papadodimas | Xerxes Arsiwalla, Jan de Boer, Kyriakos Papadodimas and Erik Verlinde | Degenerate Stars and Gravitational Collapse in AdS/CFT | 75 pages | JHEP 1101:144,2011 | 10.1007/JHEP01(2011)144 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct composite CFT operators from a large number of fermionic primary
fields corresponding to states that are holographically dual to a zero
temperature Fermi gas in AdS space. We identify a large N regime in which the
fermions behave as free particles. In the hydrodynamic limit the Fermi gas
forms a degenerate star with a radius determined by the Fermi level, and a mass
and angular momentum that exactly matches the boundary calculations. Next we
consider an interacting regime, and calculate the effect of the gravitational
back-reaction on the radius and the mass of the star using the
Tolman-Oppenheimer-Volkoff equations. Ignoring other interactions, we determine
the "Chandrasekhar limit" beyond which the degenerate star (presumably)
undergoes gravitational collapse towards a black hole. This is interpreted on
the boundary as a high density phase transition from a cold baryonic phase to a
hot deconfined phase.
| [
{
"created": "Wed, 27 Oct 2010 20:00:04 GMT",
"version": "v1"
}
] | 2011-02-03 | [
[
"Arsiwalla",
"Xerxes",
""
],
[
"de Boer",
"Jan",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Verlinde",
"Erik",
""
]
] | We construct composite CFT operators from a large number of fermionic primary fields corresponding to states that are holographically dual to a zero temperature Fermi gas in AdS space. We identify a large N regime in which the fermions behave as free particles. In the hydrodynamic limit the Fermi gas forms a degenerate star with a radius determined by the Fermi level, and a mass and angular momentum that exactly matches the boundary calculations. Next we consider an interacting regime, and calculate the effect of the gravitational back-reaction on the radius and the mass of the star using the Tolman-Oppenheimer-Volkoff equations. Ignoring other interactions, we determine the "Chandrasekhar limit" beyond which the degenerate star (presumably) undergoes gravitational collapse towards a black hole. This is interpreted on the boundary as a high density phase transition from a cold baryonic phase to a hot deconfined phase. |
2105.00011 | Ziqi Yan | Ziqi Yan | Strings in Bimetric Spacetimes | 42 pages; v2: minor clarifications; v3: minor clarifications, typos
fixed; v4: minor typos | JHEP 09 (2021) 164 | 10.1007/JHEP09(2021)164 | NORDITA 2021-037 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We put forward a two-dimensional nonlinear sigma model that couples (bosonic)
matter fields to topological Horava gravity on a nonrelativistic worldsheet. In
the target space, this sigma model describes classical strings propagating in a
curved spacetime background, whose geometry is described by two distinct metric
fields. We evaluate the renormalization group flows of this sigma model on a
flat worldsheet and derive a set of beta-functionals for the bimetric fields.
Imposing worldsheet Weyl invariance at the quantum level, we uncover a set of
gravitational field equations that dictate the dynamics of the bimetric fields
in the target space, where a unique massless spin-two excitation emerges. When
the bimetric fields become identical, the sigma model gains an emergent Lorentz
symmetry. In this single metric limit, the beta-functionals of the bimetric
fields reduce to the Ricci flow equation that arises in bosonic string theory,
and the bimetric gravitational field equations give rise to Einstein's gravity.
| [
{
"created": "Fri, 30 Apr 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 9 May 2021 20:11:38 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Sep 2021 21:06:30 GMT",
"version": "v3"
},
{
"created": "Mon, 10 Oct 2022 18:47:19 GMT",
"version": "v4"
}
] | 2022-10-12 | [
[
"Yan",
"Ziqi",
""
]
] | We put forward a two-dimensional nonlinear sigma model that couples (bosonic) matter fields to topological Horava gravity on a nonrelativistic worldsheet. In the target space, this sigma model describes classical strings propagating in a curved spacetime background, whose geometry is described by two distinct metric fields. We evaluate the renormalization group flows of this sigma model on a flat worldsheet and derive a set of beta-functionals for the bimetric fields. Imposing worldsheet Weyl invariance at the quantum level, we uncover a set of gravitational field equations that dictate the dynamics of the bimetric fields in the target space, where a unique massless spin-two excitation emerges. When the bimetric fields become identical, the sigma model gains an emergent Lorentz symmetry. In this single metric limit, the beta-functionals of the bimetric fields reduce to the Ricci flow equation that arises in bosonic string theory, and the bimetric gravitational field equations give rise to Einstein's gravity. |
1807.04323 | Hai Siong Tan | H. S. Tan | Noncommutative spacetime geometry and one-loop effects in primordial
cosmology | 30 pages | Phys. Rev. D 98, 063518 (2018) | 10.1103/PhysRevD.98.063518 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the effect of noncommutative spacetime geometry on one-loop
corrections to the primordial curvature two-point function, arising from
various forms of massless spectator matter fields interacting gravitationally
with the inflaton. After deforming the algebra of functions on the inflationary
background to a spatially noncommutative one, we find that this induces
momentum-dependent corrections to one-loop terms which imply that the vacuum
fluctuation of the energy-momentum tensor sources that of the curvature
fluctuation even for distances beyond horizon scales. The one-loop corrections
break spatial isotropy by being functions of the noncommutative parameters
lying in the tranverse plane while reducing smoothly to the commutative limit.
This furnishes an example of how UV/IR mixing manifests itself in the context
of noncommutative field theories defined on inflationary backgrounds, and
demonstrates how in principle, the primordial spectrum could carry a signature
of nonlocality and anisotropy in the setting of noncommutative spacetime
geometry.
| [
{
"created": "Wed, 11 Jul 2018 19:33:30 GMT",
"version": "v1"
}
] | 2018-09-19 | [
[
"Tan",
"H. S.",
""
]
] | We study the effect of noncommutative spacetime geometry on one-loop corrections to the primordial curvature two-point function, arising from various forms of massless spectator matter fields interacting gravitationally with the inflaton. After deforming the algebra of functions on the inflationary background to a spatially noncommutative one, we find that this induces momentum-dependent corrections to one-loop terms which imply that the vacuum fluctuation of the energy-momentum tensor sources that of the curvature fluctuation even for distances beyond horizon scales. The one-loop corrections break spatial isotropy by being functions of the noncommutative parameters lying in the tranverse plane while reducing smoothly to the commutative limit. This furnishes an example of how UV/IR mixing manifests itself in the context of noncommutative field theories defined on inflationary backgrounds, and demonstrates how in principle, the primordial spectrum could carry a signature of nonlocality and anisotropy in the setting of noncommutative spacetime geometry. |
1903.02842 | Charles Strickland-Constable | Charles Strickland-Constable | Supergravity Fluxes and Generalised Geometry | 11 pages, Contribution to Proceedings of LMS/EPSRC Durham Symposium
Higher Structures in M-Theory, August 2018 | null | 10.1002/prop.201910021 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We briefly review the description of the internal sector of supergravity
theories in the language of generalised geometry and how this gives rise to a
description of supersymmetric backgrounds as integrable geometric structures.
We then review recent work, featuring holomorphic Courant algebroids, on the
description of $\mathcal N=1$ heterotic flux vacua. This work studied the
finite deformation problem of the Hull-Strominger system, guided by
consideration of the superpotential functional on the relevant space of
geometries. It rewrote the system in terms of the Maurer-Cartan set of a
particular $L_\infty$-algebra associated to a holomorphic Courant algebroid,
with the superpotential itself becoming an analogue of a holomorphic
Chern-Simons functional.
| [
{
"created": "Thu, 7 Mar 2019 11:25:10 GMT",
"version": "v1"
}
] | 2021-07-28 | [
[
"Strickland-Constable",
"Charles",
""
]
] | We briefly review the description of the internal sector of supergravity theories in the language of generalised geometry and how this gives rise to a description of supersymmetric backgrounds as integrable geometric structures. We then review recent work, featuring holomorphic Courant algebroids, on the description of $\mathcal N=1$ heterotic flux vacua. This work studied the finite deformation problem of the Hull-Strominger system, guided by consideration of the superpotential functional on the relevant space of geometries. It rewrote the system in terms of the Maurer-Cartan set of a particular $L_\infty$-algebra associated to a holomorphic Courant algebroid, with the superpotential itself becoming an analogue of a holomorphic Chern-Simons functional. |
0808.1275 | Eleonora Dell'Aquila | Eleonora Dell'Aquila | Matrix Factorizations For Non-Abelian Orbifolds | 23 pages, 2 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a prescription to construct fractional branes in Landau-Ginzburg
orbifolds, with particular attention to the case of non-abelian orbifolds. We
analyze in detail a S_3 orbifold and a D_n orbifold and show how the
computation of the spectrum can be carried out explicitly even when the
factorizations involve higher rank matrices.
| [
{
"created": "Fri, 8 Aug 2008 19:35:49 GMT",
"version": "v1"
}
] | 2008-08-11 | [
[
"Dell'Aquila",
"Eleonora",
""
]
] | We discuss a prescription to construct fractional branes in Landau-Ginzburg orbifolds, with particular attention to the case of non-abelian orbifolds. We analyze in detail a S_3 orbifold and a D_n orbifold and show how the computation of the spectrum can be carried out explicitly even when the factorizations involve higher rank matrices. |
2303.00482 | Ilmar Gahramanov | Ilmar Gahramanov | Comments on flavor symmetry breaking and three-dimensional
superconformal index | 12 pages | null | null | null | hep-th math-ph math.MP nlin.SI | http://creativecommons.org/licenses/by/4.0/ | We investigate the superconformal index of a three-dimensional $SU(2)$
${\mathcal N}=2$ supersymmetric QCD with $N_f=4$ flavors. This theory confines
with the breaking of a global symmetry. We obtain the index of this theory by
integrating out a flavor from the theory with $N_f=6$ flavors. The
superconformal index of the theory vanishes for generic values of the flavor
fugacities. However, the specific choice of fugacities allows us to describe
the flavor symmetry-breaking phenomenon.
| [
{
"created": "Wed, 1 Mar 2023 13:11:48 GMT",
"version": "v1"
}
] | 2023-03-02 | [
[
"Gahramanov",
"Ilmar",
""
]
] | We investigate the superconformal index of a three-dimensional $SU(2)$ ${\mathcal N}=2$ supersymmetric QCD with $N_f=4$ flavors. This theory confines with the breaking of a global symmetry. We obtain the index of this theory by integrating out a flavor from the theory with $N_f=6$ flavors. The superconformal index of the theory vanishes for generic values of the flavor fugacities. However, the specific choice of fugacities allows us to describe the flavor symmetry-breaking phenomenon. |
2307.07502 | P. Jishnu Sai | P. Jishnu Sai and Rajeev Kumar Jain | Inflationary cross-correlations of a non-minimal spectator and their
soft limits | v1: 23 pages; v2: 23 pages, minor corrections, accepted for
publication in JCAP | JCAP 09 (2023) 043 | 10.1088/1475-7516/2023/09/043 | null | hep-th astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | Light spectator fields may not be dynamically relevant for the inflationary
phase of the early universe, but they can still induce interesting imprints on
cosmological observables. In this paper, we compute the cross-correlations of
the inflationary perturbations, both scalar and tensor, with the fluctuations
of a non-minimally interacting spectator field using the in-in formalism and
investigate the consistency relations associated with such cross-correlations.
In particular, the scalar consistency relation is derived semi-classically by
generalizing the consistency relation obtained earlier for cosmic magnetic
fields. Notably, we find that the direct coupling between the inflaton and the
spectator solely determines the local non-linearity parameter associated with
the scalar cross-correlation during slow-roll inflation, regardless of the
specific form of the Lagrangian for the spectator field. Further, we calculate
the tensor correlation with spectator fluctuations, explore the associated soft
limits, and demonstrate the violation of the conventional tensor consistency
relation with a non-minimal derivative coupling. Our analysis stresses that the
violation of tensor consistency relations does not necessarily imply the
superhorizon evolution of tensor modes. Instead, such violations can arise due
to the non-minimal derivative coupling of the spectator field to gravity.
Finally, we discuss the wider implications of our results in the context of
cosmological soft theorems.
| [
{
"created": "Fri, 14 Jul 2023 17:48:52 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Sep 2023 08:07:20 GMT",
"version": "v2"
}
] | 2023-09-26 | [
[
"Sai",
"P. Jishnu",
""
],
[
"Jain",
"Rajeev Kumar",
""
]
] | Light spectator fields may not be dynamically relevant for the inflationary phase of the early universe, but they can still induce interesting imprints on cosmological observables. In this paper, we compute the cross-correlations of the inflationary perturbations, both scalar and tensor, with the fluctuations of a non-minimally interacting spectator field using the in-in formalism and investigate the consistency relations associated with such cross-correlations. In particular, the scalar consistency relation is derived semi-classically by generalizing the consistency relation obtained earlier for cosmic magnetic fields. Notably, we find that the direct coupling between the inflaton and the spectator solely determines the local non-linearity parameter associated with the scalar cross-correlation during slow-roll inflation, regardless of the specific form of the Lagrangian for the spectator field. Further, we calculate the tensor correlation with spectator fluctuations, explore the associated soft limits, and demonstrate the violation of the conventional tensor consistency relation with a non-minimal derivative coupling. Our analysis stresses that the violation of tensor consistency relations does not necessarily imply the superhorizon evolution of tensor modes. Instead, such violations can arise due to the non-minimal derivative coupling of the spectator field to gravity. Finally, we discuss the wider implications of our results in the context of cosmological soft theorems. |
hep-th/0111133 | Joanna L. Karczmarek | Joanna L. Karczmarek and Curtis G. Callan (Princeton University) | Tilting the Noncommutative Bion | format changed to JHEP, 15 pages, 1 figure | JHEP 0205 (2002) 038 | 10.1088/1126-6708/2002/05/038 | PUPT-2014 | hep-th | null | In this note, we extend the noncommutative bion core solution of Constable,
Myers and Tafjord (hep-th/9911136) to include the effects of a nonzero NS-NS
two-form B. The result is a `tilted bion' in which the core expands out to a
single D3-brane at an angle to the D1-brane core. Its properties agree
perfectly with an analysis of the dual situation, that of a magnetic charge on
an abelian D3-brane in a background worldvolume magnetic field. We also
demonstrate that this agreement extends beyond geometry to include the field
strength on the D3-brane. We make a proposal for including possible worldvolume
gauge fields when mapping a noncommutative geometrical brane solution onto a
corresponding commutative brane description.
| [
{
"created": "Thu, 15 Nov 2001 19:43:46 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2002 15:02:35 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Karczmarek",
"Joanna L.",
"",
"Princeton University"
],
[
"Callan",
"Curtis G.",
"",
"Princeton University"
]
] | In this note, we extend the noncommutative bion core solution of Constable, Myers and Tafjord (hep-th/9911136) to include the effects of a nonzero NS-NS two-form B. The result is a `tilted bion' in which the core expands out to a single D3-brane at an angle to the D1-brane core. Its properties agree perfectly with an analysis of the dual situation, that of a magnetic charge on an abelian D3-brane in a background worldvolume magnetic field. We also demonstrate that this agreement extends beyond geometry to include the field strength on the D3-brane. We make a proposal for including possible worldvolume gauge fields when mapping a noncommutative geometrical brane solution onto a corresponding commutative brane description. |
2109.05637 | David M. Schmidtt | David M. Schmidtt | Symmetric space $\lambda$-model exchange algebra from 4d holomorphic
Chern-Simons theory | Published version | J. High Energ. Phys. 2021, 4 (2021) | 10.1007/JHEP12(2021)004 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We derive, within the Hamiltonian formalism, the classical exchange algebra
of a lambda deformed string sigma model in a symmetric space directly from a 4d
holomorphic Chern-Simons theory. The explicit forms of the extended Lax
connection and R-matrix entering the Maillet bracket of the lambda model are
explained from a symmetry principle. This approach, based on a gauge theory,
may provide a mechanism for taming the non-ultralocality that afflicts most of
the integrable string theories propagating in coset spaces.
| [
{
"created": "Sun, 12 Sep 2021 23:44:44 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2021 17:29:56 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Dec 2021 16:43:30 GMT",
"version": "v3"
}
] | 2021-12-08 | [
[
"Schmidtt",
"David M.",
""
]
] | We derive, within the Hamiltonian formalism, the classical exchange algebra of a lambda deformed string sigma model in a symmetric space directly from a 4d holomorphic Chern-Simons theory. The explicit forms of the extended Lax connection and R-matrix entering the Maillet bracket of the lambda model are explained from a symmetry principle. This approach, based on a gauge theory, may provide a mechanism for taming the non-ultralocality that afflicts most of the integrable string theories propagating in coset spaces. |
0804.3931 | Pesando Igor | I. Pesando | A comment on discrete Kalb-Ramond field on orientifold and rank
reduction | v2: added references, improved introduction and corrected misprints;
15 pages | Phys.Lett.B668:324-330,2008 | 10.1016/j.physletb.2008.08.051 | DFTT-8/2008 | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We show that the rank reduction of the gauge group on orientifolds in
presence of non vanishing discrete Kalb-Ramond field can be explained by the
presence of an induced field strength in a non trivial bundle on the branes.
This field strength is also necessary for the tadpole cancellation and the
number of branes is left unchanged by the presence of the discrete Kalb-Ramond
background.
| [
{
"created": "Thu, 24 Apr 2008 14:02:45 GMT",
"version": "v1"
},
{
"created": "Mon, 19 May 2008 12:39:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Pesando",
"I.",
""
]
] | We show that the rank reduction of the gauge group on orientifolds in presence of non vanishing discrete Kalb-Ramond field can be explained by the presence of an induced field strength in a non trivial bundle on the branes. This field strength is also necessary for the tadpole cancellation and the number of branes is left unchanged by the presence of the discrete Kalb-Ramond background. |
1504.04237 | Rudra Prakash Malik | T. Bhanja (IIT Guwahati), N. Srinivas (BHU), R. P. Malik (BHU) | Nilpotent Charges of a Toy Model of Hodge Theory and an ${\cal N}$ = $2$
SUSY Quantum Mechanical Model: (Anti-)Chiral Supervariable Approach | LaTeX file, 21 pages, version to appear in IJMPA | Int. J. Mod. Phys. A 34: 1950183 (23 pages), 2019 | 10.1142/S0217751X19501835 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive the nilpotent (anti-)BRST and (anti-)co-BRST symmetry
transformations for the system of a toy model of Hodge theory (i.e. a rigid
rotor) by exploiting the (anti-)BRST and (anti-)co-BRST invariant restrictions
on the (anti-)chiral supervariables that are defined on the appropriately
chosen (1, 1)-dimensional super-submanifolds of the {\it general} (1,
2)-dimensional supermanifold on which our system of a one (0 + 1)-dimensional
(1D) toy model of Hodge theory is considered within the framework of the
augmented version of the (anti-)chiral supervariable approach (ACSA) to
Becchi-Rouet-Stora-Tyutin (BRST) formalism. The general (1, 2)-dimensional
supermanifold is parameterized by the superspace coordinates ($t, \theta,
\bar\theta$) where $t$ is the bosonic evolution parameter and ($\theta,
\bar\theta$) are the Grassmannian variables which obey the standard fermionic
relationships: $ {\theta}^2 = {\bar\theta}^2 = 0, {\theta}\,{\bar\theta} +
{\bar\theta}\,{\theta} = 0 $. We provide the geometrical interpretations for
the symmetry invariance and nilpotency property. Furthermore, in our present
endeavor, we establish the property of absolute anticommutativity of the
conserved fermionic charges which is a completely {\it novel} and surprising
observation in our present endeavor where we have considered {\it only} the
(anti-)chiral supervariables. To corroborate the {\it novelty} of the above
observation, we apply this ACSA to an ${\cal N} = 2$ SUSY quantum mechanical
(QM) system of a free particle and show that the ${\cal N} = 2$ SUSY conserved
and nilpotent charges do {\it not} absolutely anticommute.
| [
{
"created": "Thu, 16 Apr 2015 14:03:50 GMT",
"version": "v1"
},
{
"created": "Tue, 30 May 2017 14:04:38 GMT",
"version": "v2"
},
{
"created": "Sun, 20 Oct 2019 13:41:46 GMT",
"version": "v3"
}
] | 2019-11-15 | [
[
"Bhanja",
"T.",
"",
"IIT Guwahati"
],
[
"Srinivas",
"N.",
"",
"BHU"
],
[
"Malik",
"R. P.",
"",
"BHU"
]
] | We derive the nilpotent (anti-)BRST and (anti-)co-BRST symmetry transformations for the system of a toy model of Hodge theory (i.e. a rigid rotor) by exploiting the (anti-)BRST and (anti-)co-BRST invariant restrictions on the (anti-)chiral supervariables that are defined on the appropriately chosen (1, 1)-dimensional super-submanifolds of the {\it general} (1, 2)-dimensional supermanifold on which our system of a one (0 + 1)-dimensional (1D) toy model of Hodge theory is considered within the framework of the augmented version of the (anti-)chiral supervariable approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism. The general (1, 2)-dimensional supermanifold is parameterized by the superspace coordinates ($t, \theta, \bar\theta$) where $t$ is the bosonic evolution parameter and ($\theta, \bar\theta$) are the Grassmannian variables which obey the standard fermionic relationships: $ {\theta}^2 = {\bar\theta}^2 = 0, {\theta}\,{\bar\theta} + {\bar\theta}\,{\theta} = 0 $. We provide the geometrical interpretations for the symmetry invariance and nilpotency property. Furthermore, in our present endeavor, we establish the property of absolute anticommutativity of the conserved fermionic charges which is a completely {\it novel} and surprising observation in our present endeavor where we have considered {\it only} the (anti-)chiral supervariables. To corroborate the {\it novelty} of the above observation, we apply this ACSA to an ${\cal N} = 2$ SUSY quantum mechanical (QM) system of a free particle and show that the ${\cal N} = 2$ SUSY conserved and nilpotent charges do {\it not} absolutely anticommute. |
1905.11144 | Rafael I. Nepomechie | Rafael I. Nepomechie, Rodrigo A. Pimenta and Ana L. Retore | Towards the solution of an integrable $D_2^{(2)}$ spin chain | 18 pages; v2: added author Rodrigo A. Pimenta, Section 5, and
appendix | null | 10.1088/1751-8121/ab434d | UMTG-299 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Two branches of integrable open quantum-group invariant $D_{n+1}^{(2)}$
quantum spin chains are known. For one branch (epsilon=0), a complete Bethe
ansatz solution has been proposed. However, the other branch (epsilon=1) has so
far resisted solution. In an effort to address this problem, we consider here
the simplest case n=1. We propose a Bethe ansatz solution, which however is not
complete, as it describes only the transfer-matrix eigenvalues with odd
degeneracy. We also consider a proposal for the missing eigenvalues.
| [
{
"created": "Mon, 27 May 2019 11:41:35 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jun 2019 19:42:26 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Nepomechie",
"Rafael I.",
""
],
[
"Pimenta",
"Rodrigo A.",
""
],
[
"Retore",
"Ana L.",
""
]
] | Two branches of integrable open quantum-group invariant $D_{n+1}^{(2)}$ quantum spin chains are known. For one branch (epsilon=0), a complete Bethe ansatz solution has been proposed. However, the other branch (epsilon=1) has so far resisted solution. In an effort to address this problem, we consider here the simplest case n=1. We propose a Bethe ansatz solution, which however is not complete, as it describes only the transfer-matrix eigenvalues with odd degeneracy. We also consider a proposal for the missing eigenvalues. |
hep-th/0404241 | Mattias N. R. Wohlfarth | Paul K. Townsend, Mattias N.R. Wohlfarth | Cosmology as Geodesic Motion | 26 pages, 2 figures, journal version with additional references | Class.Quant.Grav. 21 (2004) 5375 | 10.1088/0264-9381/21/23/006 | DAMTP-2004-35, UB-ECM-PF-04-09 | hep-th gr-qc | null | For gravity coupled to N scalar fields with arbitrary potential V, it is
shown that all flat (homogeneous and isotropic) cosmologies correspond to
geodesics in an (N+1)-dimensional `augmented' target space of Lorentzian
signature (1,N), timelike if V>0, null if V=0 and spacelike if V<0.
Accelerating cosmologies correspond to timelike geodesics that lie within an
`acceleration subcone' of the `lightcone'. Non-flat (k=-1,+1) cosmologies are
shown to evolve as projections of geodesic motion in a space of dimension
(N+2), of signature (1,N+1) for k=-1 and signature (2,N) for k=+1. This
formalism is illustrated by cosmological solutions of models with an
exponential potential, which are comprehensively analysed; the late-time
behviour for other potentials of current interest is deduced by comparison.
| [
{
"created": "Thu, 29 Apr 2004 14:41:00 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jun 2004 11:13:47 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Sep 2004 13:29:12 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Townsend",
"Paul K.",
""
],
[
"Wohlfarth",
"Mattias N. R.",
""
]
] | For gravity coupled to N scalar fields with arbitrary potential V, it is shown that all flat (homogeneous and isotropic) cosmologies correspond to geodesics in an (N+1)-dimensional `augmented' target space of Lorentzian signature (1,N), timelike if V>0, null if V=0 and spacelike if V<0. Accelerating cosmologies correspond to timelike geodesics that lie within an `acceleration subcone' of the `lightcone'. Non-flat (k=-1,+1) cosmologies are shown to evolve as projections of geodesic motion in a space of dimension (N+2), of signature (1,N+1) for k=-1 and signature (2,N) for k=+1. This formalism is illustrated by cosmological solutions of models with an exponential potential, which are comprehensively analysed; the late-time behviour for other potentials of current interest is deduced by comparison. |
hep-th/0301201 | Antonio Gatti | Antonio Gatti | A gauge invariant flow equation | PhD thesis, Latex, 175 pages | null | null | null | hep-th | null | Given a Quantum Field Theory, with a particular content of fields and a
symmetry associated with them, if one wants to study the evolution of the
couplings via a Wilsonian renormalisation group, there is still a freedom on
the construction of a flow equation, allowed by scheme independence. In the
present thesis, making use of this choice, we first build up a generalisation
of the Polchinski flow equation for the massless scalar field, and, applying it
to the calculation of the beta function at one loop for the characteristic
self-interaction, we test its universality beyond the already known cutoff
independence. Doing so we also develop a method to perform the calculation with
this generalised flow equation for more complex cases. In the second part of
the thesis, the method is extended to SU(N) Yang-Mills gauge theory, regulated
by incorporating it in a spontaneously broken SU(N|N) supergauge group. Making
use of the freedom allowed by scheme independence, we develop a flow equation
for a SU(N|N) gauge theory, which preserves the invariance step by step
throughout the flow and demonstrate the technique with a compact calculation of
the one-loop beta function for the SU(N) Yang-Mills physical sector of SU(N|N),
achieving a manifestly universal result, and without gauge fixing, for the
first time at finite N.
| [
{
"created": "Fri, 24 Jan 2003 20:24:05 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gatti",
"Antonio",
""
]
] | Given a Quantum Field Theory, with a particular content of fields and a symmetry associated with them, if one wants to study the evolution of the couplings via a Wilsonian renormalisation group, there is still a freedom on the construction of a flow equation, allowed by scheme independence. In the present thesis, making use of this choice, we first build up a generalisation of the Polchinski flow equation for the massless scalar field, and, applying it to the calculation of the beta function at one loop for the characteristic self-interaction, we test its universality beyond the already known cutoff independence. Doing so we also develop a method to perform the calculation with this generalised flow equation for more complex cases. In the second part of the thesis, the method is extended to SU(N) Yang-Mills gauge theory, regulated by incorporating it in a spontaneously broken SU(N|N) supergauge group. Making use of the freedom allowed by scheme independence, we develop a flow equation for a SU(N|N) gauge theory, which preserves the invariance step by step throughout the flow and demonstrate the technique with a compact calculation of the one-loop beta function for the SU(N) Yang-Mills physical sector of SU(N|N), achieving a manifestly universal result, and without gauge fixing, for the first time at finite N. |
hep-th/9910268 | Peter Mayr | P. Mayr | Conformal Field Theories on K3 and Three-Dimensional Gauge Theories | 11pp, harvmac, v2: a relation between heterotic CFT on Calabi-Yau
3-fold singularities and Kazama-Suzuki models has been added | JHEP 0008:042,2000 | 10.1088/1126-6708/2000/08/042 | CERN-TH/99-330 | hep-th | null | According to a recent conjecture, the moduli space of the heterotic conformal
field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to
the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge
theory with gauge group G. We establish this relation using geometric
engineering of heterotic strings and generalize it to theories with non-trivial
matter content. A similar equivalence is found between the moduli of heterotic
CFT on isolated Calabi--Yau 3-fold singularities and two-dimensional
Kazama-Suzuki coset theories.
| [
{
"created": "Mon, 1 Nov 1999 23:53:16 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2000 16:01:44 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Mayr",
"P.",
""
]
] | According to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content. A similar equivalence is found between the moduli of heterotic CFT on isolated Calabi--Yau 3-fold singularities and two-dimensional Kazama-Suzuki coset theories. |
2010.13230 | Lakshya Bhardwaj | Lakshya Bhardwaj | Flavor Symmetry of 5d SCFTs, Part 1: General Setup | 113 pages, v2: References added | null | 10.1007/JHEP09(2021)186 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A large class of 5d superconformal field theories (SCFTs) can be constructed
by integrating out BPS particles from 6d SCFTs compactified on a circle. We
describe a general method for extracting the flavor symmetry of any 5d SCFT
lying in this class. For this purpose, we utilize the geometric engineering of
5d N=1 theories in M-theory, where the flavor symmetry is encoded in a
collection of non-compact surfaces.
| [
{
"created": "Sun, 25 Oct 2020 21:55:09 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Feb 2021 12:37:12 GMT",
"version": "v2"
}
] | 2021-10-13 | [
[
"Bhardwaj",
"Lakshya",
""
]
] | A large class of 5d superconformal field theories (SCFTs) can be constructed by integrating out BPS particles from 6d SCFTs compactified on a circle. We describe a general method for extracting the flavor symmetry of any 5d SCFT lying in this class. For this purpose, we utilize the geometric engineering of 5d N=1 theories in M-theory, where the flavor symmetry is encoded in a collection of non-compact surfaces. |
hep-th/0501148 | Julien Grain | P. Kanti, J. Grain, A. Barrau | Bulk and Brane Decay of a (4+n)-Dimensional Schwarzschild-De-Sitter
Black Hole: Scalar Radiation | 31 pages, latex file, data files available at
http://lpsc.in2p3.fr/ams/greybody/ some clarifying comments and references
added, typos corrected, version to appear in Phys. Rev. D | Phys.Rev.D71:104002,2005 | 10.1103/PhysRevD.71.104002 | DCPT-05/01 | hep-th astro-ph gr-qc hep-ph | null | In this paper, we extend the idea that the spectrum of Hawking radiation can
reveal valuable information on a number of parameters that characterize a
particular black hole background - such as the dimensionality of spacetime and
the value of coupling constants - to gain information on another important
aspect: the curvature of spacetime. We investigate the emission of Hawking
radiation from a D-dimensional Schwarzschild-de-Sitter black hole emitted in
the form of scalar fields, and employ both analytical and numerical techniques
to calculate greybody factors and differential energy emission rates on the
brane and in the bulk. The energy emission rate of the black hole is
significantly enhanced in the high-energy regime with the number of spacelike
dimensions. On the other hand, in the low-energy part of the spectrum, it is
the cosmological constant that leaves a clear footprint, through a
characteristic, constant emission rate of ultrasoft quanta determined by the
values of black hole and cosmological horizons. Our results are applicable to
"small" black holes arising in theories with an arbitrary number and size of
extra dimensions, as well as to pure 4-dimensional primordial black holes,
embedded in a de Sitter spacetime.
| [
{
"created": "Wed, 19 Jan 2005 14:36:59 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2005 09:03:02 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kanti",
"P.",
""
],
[
"Grain",
"J.",
""
],
[
"Barrau",
"A.",
""
]
] | In this paper, we extend the idea that the spectrum of Hawking radiation can reveal valuable information on a number of parameters that characterize a particular black hole background - such as the dimensionality of spacetime and the value of coupling constants - to gain information on another important aspect: the curvature of spacetime. We investigate the emission of Hawking radiation from a D-dimensional Schwarzschild-de-Sitter black hole emitted in the form of scalar fields, and employ both analytical and numerical techniques to calculate greybody factors and differential energy emission rates on the brane and in the bulk. The energy emission rate of the black hole is significantly enhanced in the high-energy regime with the number of spacelike dimensions. On the other hand, in the low-energy part of the spectrum, it is the cosmological constant that leaves a clear footprint, through a characteristic, constant emission rate of ultrasoft quanta determined by the values of black hole and cosmological horizons. Our results are applicable to "small" black holes arising in theories with an arbitrary number and size of extra dimensions, as well as to pure 4-dimensional primordial black holes, embedded in a de Sitter spacetime. |
2309.00965 | Francesco Toppan | M. M. Balbino, I. P. de Freitas, R. G. Rana and F. Toppan | Inequivalent $Z_2^n$-graded brackets, $n$-bit parastatistics and
statistical transmutations of supersymmetric quantum mechanics | 57 pages, 16 figures | null | null | CBPF-NF-002/23 | hep-th cond-mat.stat-mech math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Given an associative ring of $Z_2^n$-graded operators, the number of
inequivalent brackets of Lie-type which are compatible with the grading and
satisfy graded Jacobi identities is $b_n= n+\lfloor n/2\rfloor+1$. This follows
from the Rittenberg-Wyler and Scheunert analysis of "color" Lie (super)algebras
which is revisited here in terms of Boolean logic gates. The inequivalent
brackets, recovered from $Z_2^n\times Z_2^n\rightarrow Z_2$ mappings, are
defined by consistent sets of commutators/anticommutators describing particles
accommodated into an $n$-bit parastatistics (ordinary bosons/fermions
correspond to $1$ bit). Depending on the given graded Lie (super)algebra, its
graded sectors can fall into different classes of equivalence expressing
different types of (para)bosons and/or (para)fermions. As a first application
we construct $Z_2^2$ and $ Z_2^3$-graded quantum Hamiltonians which
respectively admit $b_2=4$ and $b_3=5$ inequivalent multiparticle quantizations
(the inequivalent parastatistics are discriminated by measuring the eigenvalues
of certain observables in some given states). As a main physical application we
prove that the $N$-extended, $1D$ supersymmetric and superconformal quantum
mechanics, for $N=1,2,4,8$, are respectively described by $s_{N}=2,6,10,14 $
alternative formulations based on the inequivalent graded Lie (super)algebras.
These numbers correspond to all possible "statistical transmutations" of a
given set of supercharges which, for ${N}=1,2,4,8$, are accommodated into a
$Z_2^n$-grading with $n=1,2,3,4$ (the identification is $N= 2^{n-1}$). In the
simplest ${N}=2$ setting (the $2$-particle sector of the de DFF deformed
oscillator with $sl(2|1)$ spectrum-generating superalgebra), the $Z_2^2$-graded
parastatistics imply a degeneration of the energy levels which cannot be
reproduced by ordinary bosons/fermions statistics.
| [
{
"created": "Sat, 2 Sep 2023 15:18:31 GMT",
"version": "v1"
}
] | 2023-09-06 | [
[
"Balbino",
"M. M.",
""
],
[
"de Freitas",
"I. P.",
""
],
[
"Rana",
"R. G.",
""
],
[
"Toppan",
"F.",
""
]
] | Given an associative ring of $Z_2^n$-graded operators, the number of inequivalent brackets of Lie-type which are compatible with the grading and satisfy graded Jacobi identities is $b_n= n+\lfloor n/2\rfloor+1$. This follows from the Rittenberg-Wyler and Scheunert analysis of "color" Lie (super)algebras which is revisited here in terms of Boolean logic gates. The inequivalent brackets, recovered from $Z_2^n\times Z_2^n\rightarrow Z_2$ mappings, are defined by consistent sets of commutators/anticommutators describing particles accommodated into an $n$-bit parastatistics (ordinary bosons/fermions correspond to $1$ bit). Depending on the given graded Lie (super)algebra, its graded sectors can fall into different classes of equivalence expressing different types of (para)bosons and/or (para)fermions. As a first application we construct $Z_2^2$ and $ Z_2^3$-graded quantum Hamiltonians which respectively admit $b_2=4$ and $b_3=5$ inequivalent multiparticle quantizations (the inequivalent parastatistics are discriminated by measuring the eigenvalues of certain observables in some given states). As a main physical application we prove that the $N$-extended, $1D$ supersymmetric and superconformal quantum mechanics, for $N=1,2,4,8$, are respectively described by $s_{N}=2,6,10,14 $ alternative formulations based on the inequivalent graded Lie (super)algebras. These numbers correspond to all possible "statistical transmutations" of a given set of supercharges which, for ${N}=1,2,4,8$, are accommodated into a $Z_2^n$-grading with $n=1,2,3,4$ (the identification is $N= 2^{n-1}$). In the simplest ${N}=2$ setting (the $2$-particle sector of the de DFF deformed oscillator with $sl(2|1)$ spectrum-generating superalgebra), the $Z_2^2$-graded parastatistics imply a degeneration of the energy levels which cannot be reproduced by ordinary bosons/fermions statistics. |
hep-th/9906131 | Ali Imaanpur | A. Imaanpur | A 3d topological sigma model and D-branes | 12 pages, JHEP latex, a reference added | JHEP 9909 (1999) 010 | 10.1088/1126-6708/1999/09/010 | null | hep-th | null | A 3d topological sigma model describing maps from a 3-manifold Y to a
Calabi-Yau 3-fold M is introduced. As the model is topological, we can choose
an arbitrary metric on M. Upon scaling up the metric, the path integral by
construction localizes on the moduli space of special Lagrangian submanifolds
of M. We couple the theory to dynamical gauge fields and discuss the case where
M has a mirror and the gauge group is U(1).
| [
{
"created": "Thu, 17 Jun 1999 08:47:21 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Dec 1999 05:40:11 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Imaanpur",
"A.",
""
]
] | A 3d topological sigma model describing maps from a 3-manifold Y to a Calabi-Yau 3-fold M is introduced. As the model is topological, we can choose an arbitrary metric on M. Upon scaling up the metric, the path integral by construction localizes on the moduli space of special Lagrangian submanifolds of M. We couple the theory to dynamical gauge fields and discuss the case where M has a mirror and the gauge group is U(1). |
hep-th/9812253 | Eugene Perevalov | Eugene Perevalov | On the Hypermultiplet Moduli Space of Heterotic Compactifications with
Small Instantons | 17 pages, plain Tex; error corrected, references added | null | null | null | hep-th | null | We explore a relation between four-dimensional N=2 heterotic vacua induced by
Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the
\alpha' corrections to the hypermultiplet moduli space of heterotic
compactifications on K3xT^2 in the limit of large base of the elliptic K3. We
concentrate on the case of point-like instantons on orbifold singularities
leading to low-dimensional hypermultiplet moduli spaces.
| [
{
"created": "Thu, 31 Dec 1998 22:42:07 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 1999 19:10:06 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Perevalov",
"Eugene",
""
]
] | We explore a relation between four-dimensional N=2 heterotic vacua induced by Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the \alpha' corrections to the hypermultiplet moduli space of heterotic compactifications on K3xT^2 in the limit of large base of the elliptic K3. We concentrate on the case of point-like instantons on orbifold singularities leading to low-dimensional hypermultiplet moduli spaces. |
1508.04313 | Linus Wulff | Per Sundin and Linus Wulff | The AdS(n) x S(n) x T(10-2n) BMN string at two loops | 30 pages, 6 figures; v2: References and comment on type IIB added,
acknowledgements updated; v3: Comparison to proposed exact massless S-matrix
in sec 5.3 corrected. Only non-trivial phase appears at one loop. Additional
minor clarifications | null | 10.1007/JHEP11(2015)154 | Imperial-TP-LW-2015-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the two-loop correction to the dispersion relation for
worldsheet modes of the BMN string in AdS(n) x S(n) x T(10-2n) for n=2,3,5. For
the massive modes the result agrees with the exact dispersion relation derived
from symmetry considerations with no correction to the interpolating function
h. For the massless modes in AdS(3) x S(3) x T(4) however our result does not
match what one expects from the corresponding symmetry based analysis. We also
derive the S-matrix for massless modes up to the one-loop order. The scattering
phase is given by the massless limit of the Hernandez-Lopez phase. In addition
we compute a certain massless S-matrix element at two loops and show that it
vanishes suggesting that the two-loop phase in the massless sector is zero.
| [
{
"created": "Tue, 18 Aug 2015 13:36:28 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Aug 2015 10:30:33 GMT",
"version": "v2"
},
{
"created": "Fri, 13 Nov 2015 11:38:21 GMT",
"version": "v3"
}
] | 2016-01-20 | [
[
"Sundin",
"Per",
""
],
[
"Wulff",
"Linus",
""
]
] | We calculate the two-loop correction to the dispersion relation for worldsheet modes of the BMN string in AdS(n) x S(n) x T(10-2n) for n=2,3,5. For the massive modes the result agrees with the exact dispersion relation derived from symmetry considerations with no correction to the interpolating function h. For the massless modes in AdS(3) x S(3) x T(4) however our result does not match what one expects from the corresponding symmetry based analysis. We also derive the S-matrix for massless modes up to the one-loop order. The scattering phase is given by the massless limit of the Hernandez-Lopez phase. In addition we compute a certain massless S-matrix element at two loops and show that it vanishes suggesting that the two-loop phase in the massless sector is zero. |
1401.6950 | Yu. A. Sitenko | Yu. A. Sitenko and S. A. Yushchenko | The Casimir effect with quantized charged scalar matter in background
magnetic field | 25 pages, 1 figure, misprint in formula (49) is eliminated | Intern. J. Mod. Phys. A 29, No. 9 (2014) 1450052 | 10.1142/S0217751X14500523 | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the influence of a background uniform magnetic field and boundary
conditions on the vacuum of a quantized charged massive scalar matter field
confined between two parallel plates; the magnetic field is directed
orthogonally to the plates. The admissible set of boundary conditions at the
plates is determined by the requirements that the operator of one-particle
energy squared be self-adjoint and positive definite. We show that, in the case
of a weak magnetic field and a small separation of the plates, the Casimir
force is either attractive or repulsive, depending on the choice of a boundary
condition. In the case of a strong magnetic field and a large separation of the
plates, the Casimir force is repulsive, being independent of the choice of a
boundary condition, as well as of the distance between the plates.
| [
{
"created": "Mon, 27 Jan 2014 18:22:14 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2014 17:00:05 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Mar 2014 06:58:09 GMT",
"version": "v3"
},
{
"created": "Mon, 23 Jun 2014 15:05:56 GMT",
"version": "v4"
},
{
"c... | 2015-06-18 | [
[
"Sitenko",
"Yu. A.",
""
],
[
"Yushchenko",
"S. A.",
""
]
] | We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirements that the operator of one-particle energy squared be self-adjoint and positive definite. We show that, in the case of a weak magnetic field and a small separation of the plates, the Casimir force is either attractive or repulsive, depending on the choice of a boundary condition. In the case of a strong magnetic field and a large separation of the plates, the Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates. |
2210.06141 | Martin Cederwall | Martin Cederwall | Pure spinors in classical and quantum supergravity | 30 pp | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is an overview of the method of pure spinor superfields, written for
"Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro. The
main focus is on the use of the formalism in maximal supergravity on a flat
background. The basics of pure spinor superfields, and their relation to
standard superspace, is reviewed. The pure spinor superstring model of
Berkovits is briefly discussed. Consequences for divergence properties of loop
diagrams in maximal supergravity are restated. Some final remarks are made
concerning desirable development of the theoretical framework.
| [
{
"created": "Wed, 12 Oct 2022 12:48:34 GMT",
"version": "v1"
}
] | 2022-10-13 | [
[
"Cederwall",
"Martin",
""
]
] | This is an overview of the method of pure spinor superfields, written for "Handbook of Quantum Gravity", eds. C. Bambi, L. Modesto and I. Shapiro. The main focus is on the use of the formalism in maximal supergravity on a flat background. The basics of pure spinor superfields, and their relation to standard superspace, is reviewed. The pure spinor superstring model of Berkovits is briefly discussed. Consequences for divergence properties of loop diagrams in maximal supergravity are restated. Some final remarks are made concerning desirable development of the theoretical framework. |
hep-th/9402111 | Vadim Kuznetsov | V.B.Kuznetsov and A.V.Tsiganov | Separation of variables for the quantum relativistic Toda lattices | 13 pp., AMSTex, Report 94-07, Mathematical preprint series,
University of Amsterdam | null | null | null | hep-th | null | We consider quantum analogs of the relativistic Toda lattices and give new
$2\times 2$ $L$-operators for these models. Making use of the variable
separation the spectral problem for the quantum integrals of motion is reduced
to solving one-dimensional separation equations.
| [
{
"created": "Fri, 18 Feb 1994 14:13:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kuznetsov",
"V. B.",
""
],
[
"Tsiganov",
"A. V.",
""
]
] | We consider quantum analogs of the relativistic Toda lattices and give new $2\times 2$ $L$-operators for these models. Making use of the variable separation the spectral problem for the quantum integrals of motion is reduced to solving one-dimensional separation equations. |
2003.05546 | Georgi Dvali | Gia Dvali | Entropy Bound and Unitarity of Scattering Amplitudes | 27 pages | null | 10.1007/JHEP03(2021)126 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We establish that unitarity of scattering amplitudes imposes universal
entropy bounds. The maximal entropy of a self-sustained quantum field object of
radius R is equal to its surface area and at the same time to the inverse
running coupling evaluated at the scale R. The saturation of these entropy
bounds is in one-to-one correspondence with the non-perturbative saturation of
unitarity by 2-to-N particle scattering amplitudes at the point of optimal
truncation. These bounds are more stringent than Bekenstein's bound and in a
consistent theory all three get saturated simultaneously. This is true for all
known entropy-saturating objects such as solitons, instantons, baryons,
oscillons, black holes or simply lumps of classical fields. We refer to these
collectively as "saturons" and show that in renormalizable theories they behave
in all other respects like black holes. Finally, it is argued that the
confinement in SU(N) gauge theory can be understood as a direct consequence of
the entropy bounds and unitarity.
| [
{
"created": "Wed, 11 Mar 2020 22:40:50 GMT",
"version": "v1"
}
] | 2021-03-31 | [
[
"Dvali",
"Gia",
""
]
] | We establish that unitarity of scattering amplitudes imposes universal entropy bounds. The maximal entropy of a self-sustained quantum field object of radius R is equal to its surface area and at the same time to the inverse running coupling evaluated at the scale R. The saturation of these entropy bounds is in one-to-one correspondence with the non-perturbative saturation of unitarity by 2-to-N particle scattering amplitudes at the point of optimal truncation. These bounds are more stringent than Bekenstein's bound and in a consistent theory all three get saturated simultaneously. This is true for all known entropy-saturating objects such as solitons, instantons, baryons, oscillons, black holes or simply lumps of classical fields. We refer to these collectively as "saturons" and show that in renormalizable theories they behave in all other respects like black holes. Finally, it is argued that the confinement in SU(N) gauge theory can be understood as a direct consequence of the entropy bounds and unitarity. |
2403.10604 | Shivam Kumar Sharma | Godwin Martin, Shivam K. Sharma | Open EFT for Interacting Fermions from Holography | 22 pages + appendices, 8 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We initiate the study of an open EFT for finite-temperature holographic
systems with interacting fermions. In particular, we do this for Yukawa
interactions in the bulk using the real-time formalism (grSK geometry). From
the bulk perspective, this study corresponds to Yukawa scattering against a
black hole, incorporating the effects of Hawking radiation. We derive an EFT in
the exterior of the black hole and thus develop a Witten diagrammatic
understanding of the scattering processes. This allows the explicit evaluation
of boundary Schwinger-Keldysh (SK) correlators to arbitrary order, at
tree-level in the bulk. Here we present explicitly the SK generating functional
up to four-point functions. Finally, we represent the correlators in a
column-vector representation that manifests microscopic unitarity and
thermality, with all the statistical factors neatly folded in.
| [
{
"created": "Fri, 15 Mar 2024 18:00:37 GMT",
"version": "v1"
}
] | 2024-03-19 | [
[
"Martin",
"Godwin",
""
],
[
"Sharma",
"Shivam K.",
""
]
] | We initiate the study of an open EFT for finite-temperature holographic systems with interacting fermions. In particular, we do this for Yukawa interactions in the bulk using the real-time formalism (grSK geometry). From the bulk perspective, this study corresponds to Yukawa scattering against a black hole, incorporating the effects of Hawking radiation. We derive an EFT in the exterior of the black hole and thus develop a Witten diagrammatic understanding of the scattering processes. This allows the explicit evaluation of boundary Schwinger-Keldysh (SK) correlators to arbitrary order, at tree-level in the bulk. Here we present explicitly the SK generating functional up to four-point functions. Finally, we represent the correlators in a column-vector representation that manifests microscopic unitarity and thermality, with all the statistical factors neatly folded in. |
hep-th/0202055 | Emil | E.T.Akhmedov (ITEP) | Notes on Multi-Trace Operators and Holographic Renormalization Group | Latex, 8p | null | null | ITEP-TH-05/02 | hep-th | null | It is shown that the Holographic Renormalization Group can be formulated
universally within Quantum Field Theory as (the quantization of) the
Hamiltonian flow on the cotangent bundle to the space of gauge-invariant
single-trace operators supplied with the canonical symplectic structure. The
classical Hamiltonian dynamics is recovered in the large $N$ limit.
| [
{
"created": "Fri, 8 Feb 2002 14:15:16 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Feb 2002 14:28:29 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jan 2003 09:08:00 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Akhmedov",
"E. T.",
"",
"ITEP"
]
] | It is shown that the Holographic Renormalization Group can be formulated universally within Quantum Field Theory as (the quantization of) the Hamiltonian flow on the cotangent bundle to the space of gauge-invariant single-trace operators supplied with the canonical symplectic structure. The classical Hamiltonian dynamics is recovered in the large $N$ limit. |
hep-th/0205249 | Andrei Ivanov | M. Faber and A. N. Ivanov | Is the energy density of the ground state of the sine-Gordon model
unbounded from below for beta^2 > 8 pi ? | 22 pages, Latex, no figures, revised according to the version
accepted for publication in Journal of Physics A | J.Phys.A36:7839,2003 | 10.1088/0305-4470/36/28/312 | null | hep-th | null | We discuss Coleman's theorem concerning the energy density of the ground
state of the sine-Gordon model proved in Phys. Rev. D 11, 2088 (1975).
According to this theorem the energy density of the ground state of the
sine-Gordon model should be unbounded from below for coupling constants beta^2
> 8 pi. The consequence of this theorem would be the non-existence of the
quantum ground state of the sine-Gordon model for beta^2 > 8 pi. We show that
the energy density of the ground state in the sine-Gordon model is bounded from
below even for beta^2 > 8 pi. This result is discussed in relation to Coleman's
theorem (Comm. Math. Phys. 31, 259 (1973)), particle mass spectra and
soliton-soliton scattering in the sine-Gordon model.
| [
{
"created": "Thu, 23 May 2002 20:11:26 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Feb 2003 10:45:02 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jun 2003 18:52:42 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Faber",
"M.",
""
],
[
"Ivanov",
"A. N.",
""
]
] | We discuss Coleman's theorem concerning the energy density of the ground state of the sine-Gordon model proved in Phys. Rev. D 11, 2088 (1975). According to this theorem the energy density of the ground state of the sine-Gordon model should be unbounded from below for coupling constants beta^2 > 8 pi. The consequence of this theorem would be the non-existence of the quantum ground state of the sine-Gordon model for beta^2 > 8 pi. We show that the energy density of the ground state in the sine-Gordon model is bounded from below even for beta^2 > 8 pi. This result is discussed in relation to Coleman's theorem (Comm. Math. Phys. 31, 259 (1973)), particle mass spectra and soliton-soliton scattering in the sine-Gordon model. |
hep-th/9612158 | Martin Reuter | M. Reuter | Weyl-Invariant Quantization of Liouville Field Theory | 11 pages, latex | null | null | null | hep-th | null | Liouville field theory is quantized by means of a Wilsonian effective action
and its associated exact renormalization group equation. For $c<1$, an
approximate solution of this equation is obtained by truncating the space of
all action functionals. The Ward identities resulting from the Weyl invariance
of the theory are used in order to select a specific universality class for the
renormalization group trajectory. It is found to connect two conformal field
theories with central charges $25-c$ and $26-c$, respectively.
| [
{
"created": "Sat, 14 Dec 1996 09:50:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Reuter",
"M.",
""
]
] | Liouville field theory is quantized by means of a Wilsonian effective action and its associated exact renormalization group equation. For $c<1$, an approximate solution of this equation is obtained by truncating the space of all action functionals. The Ward identities resulting from the Weyl invariance of the theory are used in order to select a specific universality class for the renormalization group trajectory. It is found to connect two conformal field theories with central charges $25-c$ and $26-c$, respectively. |
1912.08254 | Niklas Henke | Niklas Henke, Georgios Papathanasiou | How tropical are seven- and eight-particle amplitudes? | 47 pages, 7 tables, 14 figures, 2 ancillary files; v2: Minor typos
corrected and clarifications added, improved presentation of dihedral
symmetry in sec.4 preamble, version to appear in JHEP | null | 10.1007/JHEP08(2020)005 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study tropical Grassmanians Tr$(k,n)$ in relation to cluster algebras, and
assess their applicability to $n$-particle amplitudes for $n=7,8$. In
$\mathcal{N}=4$ super Yang-Mills theory, we first show that while the totally
positive part of Tr$(4,7)$ may encompass the iterated discontinuity structure
of the seven-point Maximally Helicity Violating (MHV) amplitude, it is too
small for the Next-to-MHV helicity configuration. Then, using Tr$(4,8)$ we
propose a finite set of 356 cluster $\mathcal{A}$-coordinates expected to
contain the rational symbol letters of the eight-particle MHV amplitude, and
discuss how the remaining square-root letters may be obtained from limits of
infinite mutation sequences. Finally, we use a triangulation of the totally
positive part of Tr$(3,8)$ to obtain the associated generalised biadjoint
scalar amplitude in a form containing a near-minimal amount of spurious poles.
| [
{
"created": "Tue, 17 Dec 2019 19:56:14 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Jul 2020 14:16:18 GMT",
"version": "v2"
}
] | 2020-08-26 | [
[
"Henke",
"Niklas",
""
],
[
"Papathanasiou",
"Georgios",
""
]
] | We study tropical Grassmanians Tr$(k,n)$ in relation to cluster algebras, and assess their applicability to $n$-particle amplitudes for $n=7,8$. In $\mathcal{N}=4$ super Yang-Mills theory, we first show that while the totally positive part of Tr$(4,7)$ may encompass the iterated discontinuity structure of the seven-point Maximally Helicity Violating (MHV) amplitude, it is too small for the Next-to-MHV helicity configuration. Then, using Tr$(4,8)$ we propose a finite set of 356 cluster $\mathcal{A}$-coordinates expected to contain the rational symbol letters of the eight-particle MHV amplitude, and discuss how the remaining square-root letters may be obtained from limits of infinite mutation sequences. Finally, we use a triangulation of the totally positive part of Tr$(3,8)$ to obtain the associated generalised biadjoint scalar amplitude in a form containing a near-minimal amount of spurious poles. |
1307.7080 | Rob Leigh | Laurent Freidel, Robert G. Leigh and Djordje Minic | Born Reciprocity in String Theory and the Nature of Spacetime | null | null | 10.1016/j.physletb.2014.01.067 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After many years, the deep nature of spacetime in string theory remains an
enigma. In this letter we incorporate the concept of Born reciprocity in order
to provide a new point of view on string theory in which spacetime is a derived
dynamical concept. This viewpoint may be thought of as a dynamical chiral phase
space formulation of string theory, in which Born reciprocity is implemented as
a choice of a Lagrangian submanifold of the phase space, and amounts to a
generalization of T-duality. In this approach the fundamental symmetry of
string theory contains phase space diffeomorphism invariance and the underlying
string geometry should be understood in terms of dynamical bi-Lagrangian
manifolds and an apparently new geometric structure, somewhat reminiscent of
para-quaternionic geometry, which we call Born geometry.
| [
{
"created": "Fri, 26 Jul 2013 15:49:41 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Freidel",
"Laurent",
""
],
[
"Leigh",
"Robert G.",
""
],
[
"Minic",
"Djordje",
""
]
] | After many years, the deep nature of spacetime in string theory remains an enigma. In this letter we incorporate the concept of Born reciprocity in order to provide a new point of view on string theory in which spacetime is a derived dynamical concept. This viewpoint may be thought of as a dynamical chiral phase space formulation of string theory, in which Born reciprocity is implemented as a choice of a Lagrangian submanifold of the phase space, and amounts to a generalization of T-duality. In this approach the fundamental symmetry of string theory contains phase space diffeomorphism invariance and the underlying string geometry should be understood in terms of dynamical bi-Lagrangian manifolds and an apparently new geometric structure, somewhat reminiscent of para-quaternionic geometry, which we call Born geometry. |
hep-th/0409017 | Ricardo Schiappa | Pedro Bordalo, Lorenzo Cornalba, Ricardo Schiappa | Towards Quantum Dielectric Branes: Curvature Corrections in Abelian Beta
Function and Nonabelian Born-Infeld Action | JHEP3.cls, 64 pages, 3 figures; v2: added references; v3: more
references, final version for NPB | Nucl.Phys. B710 (2005) 189-254 | 10.1016/j.nuclphysb.2004.12.019 | LPTHE 04-20 | hep-th | null | We initiate a programme to compute curvature corrections to the nonabelian BI
action. This is based on the calculation of derivative corrections to the
abelian BI action, describing a maximal brane, to all orders in F. An exact
calculation in F allows us to apply the SW map, reducing the maximal abelian
point of view to a minimal nonabelian point of view (replacing 1/F with [X,X]
at large F), resulting in matrix model equations of motion. We first study
derivative corrections to the abelian BI action and compute the 2-loop beta
function for an open string in a WZW (parallelizable) background. This beta
function is the first step in the process of computing string equations of
motion, which can be later obtained by computing the Weyl anomaly coefficients
or the partition function. The beta function is exact in F and computed to
orders O(H,H^2,H^3) (H=dB and curvature is R ~ H^2) and O(DF,D^2F,D^3F). In
order to carry out this calculation we develop a new regularization method for
2-loop graphs. We then relate perturbative results for abelian and nonabelian
BI actions, by showing how abelian derivative corrections yield nonabelian
commutator corrections, at large F. We begin the construction of a matrix model
describing \a' corrections to Myers' dielectric effect. This construction is
carried out by setting up a perturbative classification of the relevant
nonabelian tensor structures, which can be considerably narrowed down by the
constraint of translation invariance in the action and the possibility for
generic field redefinitions. The final matrix action is not uniquely determined
and depends upon two free parameters. These parameters could be computed via
further calculations in the abelian theory.
| [
{
"created": "Wed, 1 Sep 2004 21:12:33 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Sep 2004 13:57:53 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Nov 2004 19:23:57 GMT",
"version": "v3"
}
] | 2010-04-05 | [
[
"Bordalo",
"Pedro",
""
],
[
"Cornalba",
"Lorenzo",
""
],
[
"Schiappa",
"Ricardo",
""
]
] | We initiate a programme to compute curvature corrections to the nonabelian BI action. This is based on the calculation of derivative corrections to the abelian BI action, describing a maximal brane, to all orders in F. An exact calculation in F allows us to apply the SW map, reducing the maximal abelian point of view to a minimal nonabelian point of view (replacing 1/F with [X,X] at large F), resulting in matrix model equations of motion. We first study derivative corrections to the abelian BI action and compute the 2-loop beta function for an open string in a WZW (parallelizable) background. This beta function is the first step in the process of computing string equations of motion, which can be later obtained by computing the Weyl anomaly coefficients or the partition function. The beta function is exact in F and computed to orders O(H,H^2,H^3) (H=dB and curvature is R ~ H^2) and O(DF,D^2F,D^3F). In order to carry out this calculation we develop a new regularization method for 2-loop graphs. We then relate perturbative results for abelian and nonabelian BI actions, by showing how abelian derivative corrections yield nonabelian commutator corrections, at large F. We begin the construction of a matrix model describing \a' corrections to Myers' dielectric effect. This construction is carried out by setting up a perturbative classification of the relevant nonabelian tensor structures, which can be considerably narrowed down by the constraint of translation invariance in the action and the possibility for generic field redefinitions. The final matrix action is not uniquely determined and depends upon two free parameters. These parameters could be computed via further calculations in the abelian theory. |
1805.00817 | Michael Haack | Michael Haack and Jin U Kang | Field redefinitions and K\"ahler potential in string theory at 1-loop | 50 pages, 1 figure, v2: small changes in order to match the published
version | null | 10.1007/JHEP08(2018)019 | LMU-ASC 19/18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Field redefinitions at string 1-loop order are often required by
supersymmetry, for instance in order to make the K\"ahler structure of the
scalar kinetic terms manifest. We derive the general structure of the field
redefinitions and the K\"ahler potential at string 1-loop order in a certain
class of string theory models (4-dimensional toroidal type IIB orientifolds
with ${\cal N}=1$ supersymmetry) and for a certain subsector of fields
(untwisted K\"ahler moduli and the 4-dimensional dilaton). To do so we make use
of supersymmetry, perturbative axionic shift symmetries and a particular ansatz
for the form of the 1-loop corrections to the metric on the moduli space. Our
results also show which terms in the low-energy effective action have to be
calculated via concrete string amplitudes in order to fix the values of the
coefficients (in the field redefinitions and the K\"ahler potential) that are
left undetermined by our general analysis based on (super)symmetry.
| [
{
"created": "Wed, 2 May 2018 13:56:39 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Aug 2018 11:05:13 GMT",
"version": "v2"
}
] | 2018-08-29 | [
[
"Haack",
"Michael",
""
],
[
"Kang",
"Jin U",
""
]
] | Field redefinitions at string 1-loop order are often required by supersymmetry, for instance in order to make the K\"ahler structure of the scalar kinetic terms manifest. We derive the general structure of the field redefinitions and the K\"ahler potential at string 1-loop order in a certain class of string theory models (4-dimensional toroidal type IIB orientifolds with ${\cal N}=1$ supersymmetry) and for a certain subsector of fields (untwisted K\"ahler moduli and the 4-dimensional dilaton). To do so we make use of supersymmetry, perturbative axionic shift symmetries and a particular ansatz for the form of the 1-loop corrections to the metric on the moduli space. Our results also show which terms in the low-energy effective action have to be calculated via concrete string amplitudes in order to fix the values of the coefficients (in the field redefinitions and the K\"ahler potential) that are left undetermined by our general analysis based on (super)symmetry. |
1404.4846 | Rodrigo Ferreira Sobreiro | T. R. S. Santos and R. F. Sobreiro | Renormalizability of Yang-Mills theory with Lorentz violation and gluon
mass generation | 20 pages. No figures. To appear at the PRD | Phys. Rev. D 91, 025008 (2015) | 10.1103/PhysRevD.91.025008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that pure Yang-Mills theories with Lorentz violation are
renormalizable to all orders in perturbation theory. To do this, we employ the
algebraic renormalization technique. Specifically, we control the breaking
terms with a suitable set of external sources which, eventually, attain certain
physical values. The Abelian case is also analyzed as a starting point. The
main result is that the renormalizability of the usual Maxwell and Yang-Mills
sectores are both left unchanged. Furthermore, in contrast to Lorentz violating
QED, the odd CPT violation sector of Yang-Mills theories renormalizes
independently. Moreover, the method induces, in a natural way, mass terms for
the gauge field while the photon remains massless (at least n the sense of a
Proca-like term). The entire analysis is carried out at the Landau gauge.
| [
{
"created": "Fri, 18 Apr 2014 18:06:24 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 2014 17:29:59 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Dec 2014 20:11:03 GMT",
"version": "v3"
}
] | 2015-01-14 | [
[
"Santos",
"T. R. S.",
""
],
[
"Sobreiro",
"R. F.",
""
]
] | We show that pure Yang-Mills theories with Lorentz violation are renormalizable to all orders in perturbation theory. To do this, we employ the algebraic renormalization technique. Specifically, we control the breaking terms with a suitable set of external sources which, eventually, attain certain physical values. The Abelian case is also analyzed as a starting point. The main result is that the renormalizability of the usual Maxwell and Yang-Mills sectores are both left unchanged. Furthermore, in contrast to Lorentz violating QED, the odd CPT violation sector of Yang-Mills theories renormalizes independently. Moreover, the method induces, in a natural way, mass terms for the gauge field while the photon remains massless (at least n the sense of a Proca-like term). The entire analysis is carried out at the Landau gauge. |
0908.3160 | Amir Masoud Ghezelbash | A. M. Ghezelbash, R. Oraji | Gibbons-Hawking M-branes | 32 pages, 7 figures, few sentences added, a couple of typos
corrected, to appear in JHEP | JHEP 0912:039,2009 | 10.1088/1126-6708/2009/12/039 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present new M2 and M5-brane solutions in M-theory based on transverse
Gibbons-Hawking spaces. These solutions provide realizations of fully localized
type IIA D2/D6 and NS5/D6 brane intersections. One novel feature of these
solutions is that the metric functions depend on more than two transverse
coordinates (unlike all the other previous known solutions). All the solutions
have eight preserved supersymmetries and the world-volume theories of the
NS5-branes are new non-local, non-gravitational, six dimensional, T-dual little
string theories with eight supersymmetries. We discuss the limits in which the
dynamics of the D2 and NS5-branes decouple from the bulk for these solutions.
| [
{
"created": "Fri, 21 Aug 2009 19:23:04 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Oct 2009 21:38:41 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 2009 20:51:09 GMT",
"version": "v3"
}
] | 2009-12-17 | [
[
"Ghezelbash",
"A. M.",
""
],
[
"Oraji",
"R.",
""
]
] | We present new M2 and M5-brane solutions in M-theory based on transverse Gibbons-Hawking spaces. These solutions provide realizations of fully localized type IIA D2/D6 and NS5/D6 brane intersections. One novel feature of these solutions is that the metric functions depend on more than two transverse coordinates (unlike all the other previous known solutions). All the solutions have eight preserved supersymmetries and the world-volume theories of the NS5-branes are new non-local, non-gravitational, six dimensional, T-dual little string theories with eight supersymmetries. We discuss the limits in which the dynamics of the D2 and NS5-branes decouple from the bulk for these solutions. |
2309.06148 | Dejan Simi\'c | Dejan Simi\'c | Note on asymptotic symmetry of massless scalar field at null infinity | LaTeX, 10 pages, no figures, moderate text changes, minus sign error
corrected in one equation, published in Phys. Rev. D | Phys. Rev. D 108 (2023) 8, 085017 | 10.1103/PhysRevD.108.085017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article we address the question of asymptotic symmetry of massless
scalar field at null infinity. We slightly generalize notion of asymptotic
symmetry in order to make sense for the theory without gauge symmetry.
Derivations of the results are done in two different ways, using Hamiltonian
analysis and using covariant phase space. The results are in agreement with the
ones previously obtained by various authors for dual 2-form field and with the
results obtained starting from scalar soft theorem.
| [
{
"created": "Tue, 12 Sep 2023 11:40:30 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 11:43:15 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Oct 2023 14:17:14 GMT",
"version": "v3"
}
] | 2023-10-26 | [
[
"Simić",
"Dejan",
""
]
] | In this article we address the question of asymptotic symmetry of massless scalar field at null infinity. We slightly generalize notion of asymptotic symmetry in order to make sense for the theory without gauge symmetry. Derivations of the results are done in two different ways, using Hamiltonian analysis and using covariant phase space. The results are in agreement with the ones previously obtained by various authors for dual 2-form field and with the results obtained starting from scalar soft theorem. |
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