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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1512.07035 | Huaifan Li | Ya-Peng Hu, Huai-Fan Li, Hua-Bi Zeng, Hai-Qing Zhang | Holographic Josephson Junction from Massive Gravity | 14 pages,6 figures,misprints corrected,references added | Phys. Rev. D 93, 104009 (2016) | 10.1103/PhysRevD.93.104009 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the holographic superconductor-normal metal-superconductor (SNS)
Josephon junction in the massive gravity. In the homogeneous case of the
chemical potential, we find that the graviton mass will make the normal
metal-superconductor phase transition harder to take place. In the holographic
model of Josephson junction, it is found that the maximal tunneling current
will decrease according to the graviton mass. Besides, the coherence length of
the junction decreases as well with respect to the graviton mass. If one
interprets the graviton mass as the effect of momentum dissipation in the
boundary field theory, it indicates that the stronger the momentum dissipation
is, the smaller the coherence length is.
| [
{
"created": "Tue, 22 Dec 2015 11:29:12 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Dec 2015 14:17:09 GMT",
"version": "v2"
}
] | 2016-05-11 | [
[
"Hu",
"Ya-Peng",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Zeng",
"Hua-Bi",
""
],
[
"Zhang",
"Hai-Qing",
""
]
] | We study the holographic superconductor-normal metal-superconductor (SNS) Josephon junction in the massive gravity. In the homogeneous case of the chemical potential, we find that the graviton mass will make the normal metal-superconductor phase transition harder to take place. In the holographic model of Josephson junction, it is found that the maximal tunneling current will decrease according to the graviton mass. Besides, the coherence length of the junction decreases as well with respect to the graviton mass. If one interprets the graviton mass as the effect of momentum dissipation in the boundary field theory, it indicates that the stronger the momentum dissipation is, the smaller the coherence length is. |
hep-th/9405093 | Yukawa Matsuo | H. Awata, M. Fukuma, Y. Matsuo, S. Odake | Determinant and Character of W-infinity algebra | 34 pages, YITP/K-1060, YITP/U-94-17, SULDP-1994-3 Improvement of the
proofs of some theorems | Commun.Math.Phys.172:377-400,1995 | 10.1007/BF02099433 | null | hep-th | null | We diagonalize the Hilbert space of some subclass of the quasifinite module
of the \Winf algebra. States are classified according to their eigenvalues for
infinitely many commuting charges and the Young diagrams. The parameter
dependence of their norms is explicitly derived. The full character formulae of
the degenerate representations are given as summation of the bilinear
combinations of the Schur polynomials.
| [
{
"created": "Sat, 14 May 1994 13:29:10 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Sep 1994 12:44:22 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Awata",
"H.",
""
],
[
"Fukuma",
"M.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Odake",
"S.",
""
]
] | We diagonalize the Hilbert space of some subclass of the quasifinite module of the \Winf algebra. States are classified according to their eigenvalues for infinitely many commuting charges and the Young diagrams. The parameter dependence of their norms is explicitly derived. The full character formulae of the degenerate representations are given as summation of the bilinear combinations of the Schur polynomials. |
2302.13872 | Xin Jiang | Xin Jiang, Peng Wang, Houwen Wu and Haitang Yang | Timelike entanglement entropy and $T\bar{T}$ deformation | v1: 12 pages, 2 figures; v2: references added; v3: typo fixed; v4:
matches published version | null | null | CTP-SCU/2023004 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In a previous work arXiv:1811.07758 about the $T\bar{T}$ deformed CFT$_2$,
from the consistency requirement of the entanglement entropy theory, we found
that in addition to the usual spacelike entanglement entropy, a timelike
entanglement entropy must be introduced and treated equally. Inspired by the
recent explicit constructions of the timelike entanglement entropy and its bulk
dual, we provide a comprehensive analysis of the timelike and spacelike
entanglement entropies in the $T\bar{T}$ deformed finite size system and finite
temperature system. The results confirm our prediction that in the finite size
system only the timelike entanglement entropy receives a correction, while in
the finite temperature system only the usual spacelike entanglement entropy
gets a correction. These findings affirm the necessity of a complete measure
including both spacelike and timelike entanglement entropies.
| [
{
"created": "Mon, 27 Feb 2023 15:23:22 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Mar 2023 21:56:16 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Jul 2023 16:46:25 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jan 2024 17:48:44 GMT",
"version": "v4"
}
] | 2024-01-09 | [
[
"Jiang",
"Xin",
""
],
[
"Wang",
"Peng",
""
],
[
"Wu",
"Houwen",
""
],
[
"Yang",
"Haitang",
""
]
] | In a previous work arXiv:1811.07758 about the $T\bar{T}$ deformed CFT$_2$, from the consistency requirement of the entanglement entropy theory, we found that in addition to the usual spacelike entanglement entropy, a timelike entanglement entropy must be introduced and treated equally. Inspired by the recent explicit constructions of the timelike entanglement entropy and its bulk dual, we provide a comprehensive analysis of the timelike and spacelike entanglement entropies in the $T\bar{T}$ deformed finite size system and finite temperature system. The results confirm our prediction that in the finite size system only the timelike entanglement entropy receives a correction, while in the finite temperature system only the usual spacelike entanglement entropy gets a correction. These findings affirm the necessity of a complete measure including both spacelike and timelike entanglement entropies. |
1605.02591 | Soo-Jong Rey | Stefan Hohenegger, Amer Iqbal, Soo-Jong Rey | Self-Duality and Self-Similarity of Little String Orbifolds | 49 pages, 4 figures | Phys. Rev. D 94, 046006 (2016) | 10.1103/PhysRevD.94.046006 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a class of ${\cal N}=(1,0)$ little string theories obtained from
orbifolds of M-brane configurations. These are realised in two different ways
that are dual to each other: either as $M$ parallel M5-branes probing a
transverse $A_{N-1}$ singularity or $N$ M5-branes probing an $A_{M-1}$
singularity. These backgrounds can further be dualised into toric, non-compact
Calabi-Yau threefolds $X_{N,M}$ which have double elliptic fibrations and thus
give a natural geometric description of T-duality of the little string
theories. The little string partition functions are captured by the topological
string partition function of $X_{N,M}$. We analyse in detail the free energies
$\Sigma_{N,M}$ associated with the latter in a special region in the K\"ahler
moduli space of $X_{N,M}$ and discover a remarkable property: in the
Nekrasov-Shatashvili-limit, $\Sigma_{N,M}$ is identical to $NM$ times
$\Sigma_{1,1}$. This entails that the BPS degeneracies for any $(N,M)$ can
uniquely be reconstructed from the $(N,M)=(1,1)$ configuration, a property we
refer to as self-similarity. Moreover, as $\Sigma_{1,1}$ is known to display a
number of recursive structures, BPS degeneracies of little string
configurations for arbitrary $(N,M)$ as well acquire additional symmetries.
These symmetries suggest that in this special region the two little string
theories described above are self-dual under T-duality.
| [
{
"created": "Mon, 9 May 2016 14:04:58 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Hohenegger",
"Stefan",
""
],
[
"Iqbal",
"Amer",
""
],
[
"Rey",
"Soo-Jong",
""
]
] | We study a class of ${\cal N}=(1,0)$ little string theories obtained from orbifolds of M-brane configurations. These are realised in two different ways that are dual to each other: either as $M$ parallel M5-branes probing a transverse $A_{N-1}$ singularity or $N$ M5-branes probing an $A_{M-1}$ singularity. These backgrounds can further be dualised into toric, non-compact Calabi-Yau threefolds $X_{N,M}$ which have double elliptic fibrations and thus give a natural geometric description of T-duality of the little string theories. The little string partition functions are captured by the topological string partition function of $X_{N,M}$. We analyse in detail the free energies $\Sigma_{N,M}$ associated with the latter in a special region in the K\"ahler moduli space of $X_{N,M}$ and discover a remarkable property: in the Nekrasov-Shatashvili-limit, $\Sigma_{N,M}$ is identical to $NM$ times $\Sigma_{1,1}$. This entails that the BPS degeneracies for any $(N,M)$ can uniquely be reconstructed from the $(N,M)=(1,1)$ configuration, a property we refer to as self-similarity. Moreover, as $\Sigma_{1,1}$ is known to display a number of recursive structures, BPS degeneracies of little string configurations for arbitrary $(N,M)$ as well acquire additional symmetries. These symmetries suggest that in this special region the two little string theories described above are self-dual under T-duality. |
hep-th/9410175 | Satoru Saito | Noriko Saitoh, Satoru Saito and Akinobu Shimizu | Integrable Difference Analogue of the Logistic Equation and B\"acklund
Transformation of the KP Hierarchy | 15 pages, Latex | null | null | null | hep-th | null | A difference analogue of the logistic equation, which preserves
integrability, is derived from Hirota's bilinear difference equation. The
integrability of the map is shown to result from the large symmetry associated
with the B\"acklund transformation of the KP hierarchy. We introduce a scheme
which interpolates between this map and the standard logistic map and enables
us to study integrable and nonintegrable systems on an equal basis. In
particular we study the behavior of Julia set at the point where the
nonintegrable map passes to the integrable map.
| [
{
"created": "Mon, 24 Oct 1994 07:23:35 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Saitoh",
"Noriko",
""
],
[
"Saito",
"Satoru",
""
],
[
"Shimizu",
"Akinobu",
""
]
] | A difference analogue of the logistic equation, which preserves integrability, is derived from Hirota's bilinear difference equation. The integrability of the map is shown to result from the large symmetry associated with the B\"acklund transformation of the KP hierarchy. We introduce a scheme which interpolates between this map and the standard logistic map and enables us to study integrable and nonintegrable systems on an equal basis. In particular we study the behavior of Julia set at the point where the nonintegrable map passes to the integrable map. |
2005.01143 | Paul Steinhardt | Gabriele Montefalcone and Paul J. Steinhardt and Daniel H. Wesley | Dark Energy, Extra Dimensions, and the Swampland | 12 pages, 3 figures | J. High Energ. Phys. 91 (2020) | 10.1007/JHEP06(2020)091 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Perhaps the greatest challenge for fundamental theories based on
compactification from extra dimensions is accommodating a period of accelerated
cosmological expansion. Previous studies have identified constraints imposed by
the existence of dark energy for two overlapping classes of compactified
theories: (1) those in which the higher dimensional picture satisfies certain
metric properties selected to reproduce known low energy phenomenology; or (2)
those derived from string theory assuming they satisfy the Swampland
conjectures. For either class, the analyses showed that dark energy is only
possible if it takes the form of quintessence. In this paper, we explore the
consequences for theories that belong to both classes and show that the joint
constraints are highly restrictive, leaving few options.
| [
{
"created": "Sun, 3 May 2020 17:05:53 GMT",
"version": "v1"
},
{
"created": "Tue, 5 May 2020 14:23:02 GMT",
"version": "v2"
}
] | 2020-06-19 | [
[
"Montefalcone",
"Gabriele",
""
],
[
"Steinhardt",
"Paul J.",
""
],
[
"Wesley",
"Daniel H.",
""
]
] | Perhaps the greatest challenge for fundamental theories based on compactification from extra dimensions is accommodating a period of accelerated cosmological expansion. Previous studies have identified constraints imposed by the existence of dark energy for two overlapping classes of compactified theories: (1) those in which the higher dimensional picture satisfies certain metric properties selected to reproduce known low energy phenomenology; or (2) those derived from string theory assuming they satisfy the Swampland conjectures. For either class, the analyses showed that dark energy is only possible if it takes the form of quintessence. In this paper, we explore the consequences for theories that belong to both classes and show that the joint constraints are highly restrictive, leaving few options. |
hep-th/9202087 | null | R. Saroja and A. Sen | Picture Changing Operators in Closed Fermionic String Field Theory | 15 pages | Phys.Lett.B286:256-264,1992 | 10.1016/0370-2693(92)91772-2 | null | hep-th | null | We discuss appropriate arrangement of picture changing operators required to
construct gauge invariant interaction vertices involving Neveu-Schwarz states
in heterotic and closed superstring field theory. The operators required for
this purpose are shown to satisfy a set of descent equations.
| [
{
"created": "Wed, 26 Feb 1992 06:30:00 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Saroja",
"R.",
""
],
[
"Sen",
"A.",
""
]
] | We discuss appropriate arrangement of picture changing operators required to construct gauge invariant interaction vertices involving Neveu-Schwarz states in heterotic and closed superstring field theory. The operators required for this purpose are shown to satisfy a set of descent equations. |
hep-th/0504037 | Rafael Sorkin | Rafael D. Sorkin (Perimeter Institute and Syracuse University) | Ten Theses on Black Hole Entropy | plainTeX, 14 pages, no figures. several typos corrected. Most current
version is available at
http://www.pitp.ca/personal/rsorkin/some.papers/118.ten.theses.pdf (or
wherever my home-page may be) | Stud.Hist.Philos.Mod.Phys. 36 (2005) 291-301 | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I present a viewpoint on black hole thermodynamics according to which the
entropy: derives from horizon "degrees of freedom"; is finite because the deep
structure of spacetime is discrete; is "objective" thanks to the distinguished
coarse graining provided by the horizon; and obeys the second law of
thermodynamics precisely because the effective dynamics of the exterior region
is not unitary.
| [
{
"created": "Tue, 5 Apr 2005 07:21:20 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Oct 2011 04:44:07 GMT",
"version": "v2"
}
] | 2011-10-20 | [
[
"Sorkin",
"Rafael D.",
"",
"Perimeter Institute and Syracuse University"
]
] | I present a viewpoint on black hole thermodynamics according to which the entropy: derives from horizon "degrees of freedom"; is finite because the deep structure of spacetime is discrete; is "objective" thanks to the distinguished coarse graining provided by the horizon; and obeys the second law of thermodynamics precisely because the effective dynamics of the exterior region is not unitary. |
1001.2536 | Evgeny Ivanov | Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld | New Super Calogero Models and OSp(4|2) Superconformal Mechanics | 12 pages, talk presented by E.Ivanov at the XIII International
Conference "Symmetry Methods in Physics", Dubna, July 6-9, 2009 | null | 10.1134/S1063778811060081 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We report on the new approach to constructing superconformal extensions of
the Calogero-type systems with an arbitrary number of involved particles. It is
based upon the superfield gauging of non-abelian isometries of some
supersymmetric matrix models. Among its applications, we focus on the new N=4
superconformal system yielding the U(2) spin Calogero model in the bosonic
sector, and the one-particle case of this system, which is a new OSp(4|2)
superconformal mechanics with non-dynamical U(2) spin variables. The
characteristic feature of these models is that the strength of the conformal
inverse-square potential is quantized.
| [
{
"created": "Thu, 14 Jan 2010 19:28:51 GMT",
"version": "v1"
}
] | 2015-05-18 | [
[
"Fedoruk",
"Sergey",
""
],
[
"Ivanov",
"Evgeny",
""
],
[
"Lechtenfeld",
"Olaf",
""
]
] | We report on the new approach to constructing superconformal extensions of the Calogero-type systems with an arbitrary number of involved particles. It is based upon the superfield gauging of non-abelian isometries of some supersymmetric matrix models. Among its applications, we focus on the new N=4 superconformal system yielding the U(2) spin Calogero model in the bosonic sector, and the one-particle case of this system, which is a new OSp(4|2) superconformal mechanics with non-dynamical U(2) spin variables. The characteristic feature of these models is that the strength of the conformal inverse-square potential is quantized. |
1604.02687 | Nele Callebaut | Curtis T. Asplund, Nele Callebaut and Claire Zukowski | Equivalence of Emergent de Sitter Spaces from Conformal Field Theory | 46 pages, 20 figures; v2: typos fixed, minor clarifications, added
analysis of entanglement entropy phase transitions in Sections 2.4, 2.5 and 3 | J. High Energy Phys. 1609 (2016) 154 | 10.1007/JHEP09(2016)154 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, two groups have made distinct proposals for a de Sitter space that
is emergent from conformal field theory (CFT). The first proposal is that, for
two-dimensional holographic CFTs, the kinematic space of geodesics on a
spacelike slice of the asymptotically anti-de Sitter bulk is two-dimensional de
Sitter space (dS$_2$), with a metric that can be derived from the entanglement
entropy of intervals in the CFT. In the second proposal, de Sitter dynamics
emerges naturally from the first law of entanglement entropy for perturbations
around the vacuum state of CFTs. We provide support for the equivalence of
these two emergent spacetimes in the vacuum case and beyond. In particular, we
study the kinematic spaces of nontrivial solutions of $3$d gravity, including
the BTZ black string, BTZ black hole, and conical singularities. We argue that
the resulting spaces are generically globally hyperbolic spacetimes that
support dynamics given boundary conditions at future infinity. For the BTZ
black string, corresponding to a thermal state of the CFT, we show that both
prescriptions lead to an emergent hyperbolic patch of dS$_2$. We offer a
general method for relating kinematic space and the auxiliary de Sitter space
that is valid in the vacuum and thermal cases.
| [
{
"created": "Sun, 10 Apr 2016 13:53:48 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Aug 2016 19:44:01 GMT",
"version": "v2"
}
] | 2016-11-17 | [
[
"Asplund",
"Curtis T.",
""
],
[
"Callebaut",
"Nele",
""
],
[
"Zukowski",
"Claire",
""
]
] | Recently, two groups have made distinct proposals for a de Sitter space that is emergent from conformal field theory (CFT). The first proposal is that, for two-dimensional holographic CFTs, the kinematic space of geodesics on a spacelike slice of the asymptotically anti-de Sitter bulk is two-dimensional de Sitter space (dS$_2$), with a metric that can be derived from the entanglement entropy of intervals in the CFT. In the second proposal, de Sitter dynamics emerges naturally from the first law of entanglement entropy for perturbations around the vacuum state of CFTs. We provide support for the equivalence of these two emergent spacetimes in the vacuum case and beyond. In particular, we study the kinematic spaces of nontrivial solutions of $3$d gravity, including the BTZ black string, BTZ black hole, and conical singularities. We argue that the resulting spaces are generically globally hyperbolic spacetimes that support dynamics given boundary conditions at future infinity. For the BTZ black string, corresponding to a thermal state of the CFT, we show that both prescriptions lead to an emergent hyperbolic patch of dS$_2$. We offer a general method for relating kinematic space and the auxiliary de Sitter space that is valid in the vacuum and thermal cases. |
2302.08749 | Edvard Musaev | Edvard T. Musaev and Timophey Petrov | Tri-vector deformations on compact isometries | 24 pages | null | 10.1140/epjc/s10052-023-11569-w | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Classical Yang-Baxter equation governing bi-vector deformations of 10d
supergravity is known to have no solutions along non-abelian compact
isometries. By providing explicit examples we show that this is in contrast to
generalized Yang-Baxter equation governing tri-vector deformations of 11d
supergravity. We present deformations of the AdS7xS4 and flat backgrounds with
isometries generated by Killing vectors of a sphere. Isometries of the AdS
space-time are preserved by such deformations.
| [
{
"created": "Fri, 17 Feb 2023 08:17:32 GMT",
"version": "v1"
}
] | 2023-05-31 | [
[
"Musaev",
"Edvard T.",
""
],
[
"Petrov",
"Timophey",
""
]
] | Classical Yang-Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries. By providing explicit examples we show that this is in contrast to generalized Yang-Baxter equation governing tri-vector deformations of 11d supergravity. We present deformations of the AdS7xS4 and flat backgrounds with isometries generated by Killing vectors of a sphere. Isometries of the AdS space-time are preserved by such deformations. |
hep-th/0310254 | Vadim Borokhov | Vadim Borokhov | Monopole operators in three-dimensional N=4 SYM and mirror symmetry | 23 pages, LaTex; v2: section 3.4 modified, section 3.5 extended,
references added | JHEP 0403 (2004) 008 | 10.1088/1126-6708/2004/03/008 | null | hep-th | null | We study non-abelian monopole operators in the infrared limit of
three-dimensional SU(N_c) and N=4 SU(2) gauge theories. Using large N_f
expansion and operator-state isomorphism of the resulting superconformal field
theories, we construct monopole operators which are (anti-)chiral primaries and
compute their charges under the global symmetries. Predictions of
three-dimensional mirror symmetry for the quantum numbers of these monopole
operators are verified.
| [
{
"created": "Tue, 28 Oct 2003 11:34:25 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Mar 2004 09:34:09 GMT",
"version": "v2"
}
] | 2020-07-03 | [
[
"Borokhov",
"Vadim",
""
]
] | We study non-abelian monopole operators in the infrared limit of three-dimensional SU(N_c) and N=4 SU(2) gauge theories. Using large N_f expansion and operator-state isomorphism of the resulting superconformal field theories, we construct monopole operators which are (anti-)chiral primaries and compute their charges under the global symmetries. Predictions of three-dimensional mirror symmetry for the quantum numbers of these monopole operators are verified. |
hep-th/9212104 | null | K. Hornfeck | W-algebras with set of primary fields of dimensions (3, 4, 5) and
(3,4,5,6) | 17 pages, LaTeX, KCL-TH-92-9, DFFT-70/92 | Nucl.Phys. B407 (1993) 237-246 | 10.1016/0550-3213(93)90281-S | null | hep-th | null | We show that that the Jacobi-identities for a W-algebra with primary fields
of dimensions 3, 4 and 5 allow two different solutions. The first solution can
be identified with WA_4. The second is special in the sense that, even though
associative for general value of the central charge, null-fields appear that
violate some of the Jacobi-identities, a fact that is usually linked to
exceptional W-algebras. In contrast we find for the algebra that has an
additional spin 6 field only the solution WA_5.
| [
{
"created": "Thu, 17 Dec 1992 09:45:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Hornfeck",
"K.",
""
]
] | We show that that the Jacobi-identities for a W-algebra with primary fields of dimensions 3, 4 and 5 allow two different solutions. The first solution can be identified with WA_4. The second is special in the sense that, even though associative for general value of the central charge, null-fields appear that violate some of the Jacobi-identities, a fact that is usually linked to exceptional W-algebras. In contrast we find for the algebra that has an additional spin 6 field only the solution WA_5. |
0910.1245 | Erich Poppitz | Erich Poppitz, Mithat Unsal | Conformality or confinement (II): One-flavor CFTs and
mixed-representation QCD | 30 pages, 2 figures; added new references and an addendum on mixed
vectorlike/chiral representations, including comparison with all-order beta
function results of arXiv:0911.0931; version to be published | JHEP 0912:011,2009 | 10.1088/1126-6708/2009/12/011 | SLAC-PUB-13798 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study QCD-like four dimensional theories in the theoretically controlled
framework of deformation theory and/or twisted partition function on S*1 x R*3.
By using duality, we show that a class of one-flavor theories exhibit new
physical phenomena: discrete chiral symmetry breaking induced by the
condensation of topological disorder operators, and confinement and the
generation of mass gap due to new non-selfdual topological excitations. In the
R*4 limit, we argue that the mass gap disappears, the chiral symmetry breaking
vacua are of runaway type, and the theory flows to a CFT. We also study
mixed-representation theories and find abelian chiral symmetry breaking by
topological operators charged under abelian chiral symmetries. These are
reminiscent to, but distinct, from Seiberg-Witten theory with matter, where 4d
monopoles have non-abelian chiral charge. This examination also helps us refine
our recent bounds on the conformal window. In an Addendum, we also discuss
mixed vectorlike/chiral representation theories, obtain bounds on their
conformal windows, and compare with the all-order beta function results of
arXiv:0911.0931.
| [
{
"created": "Wed, 7 Oct 2009 19:14:32 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2009 17:18:27 GMT",
"version": "v2"
}
] | 2010-02-23 | [
[
"Poppitz",
"Erich",
""
],
[
"Unsal",
"Mithat",
""
]
] | We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S*1 x R*3. By using duality, we show that a class of one-flavor theories exhibit new physical phenomena: discrete chiral symmetry breaking induced by the condensation of topological disorder operators, and confinement and the generation of mass gap due to new non-selfdual topological excitations. In the R*4 limit, we argue that the mass gap disappears, the chiral symmetry breaking vacua are of runaway type, and the theory flows to a CFT. We also study mixed-representation theories and find abelian chiral symmetry breaking by topological operators charged under abelian chiral symmetries. These are reminiscent to, but distinct, from Seiberg-Witten theory with matter, where 4d monopoles have non-abelian chiral charge. This examination also helps us refine our recent bounds on the conformal window. In an Addendum, we also discuss mixed vectorlike/chiral representation theories, obtain bounds on their conformal windows, and compare with the all-order beta function results of arXiv:0911.0931. |
hep-th/0609189 | Guillaume Bossard | Laurent Baulieu (LPTHE, CERN), Guillaume Bossard (LPTHE) | Supersymmetric renormalization prescription in N = 4 super-Yang--Mills
theory | null | Phys.Lett.B643:294-302,2006 | 10.1016/j.physletb.2006.10.048 | CERN-PH-TH/2006-196 | hep-th | null | Using the shadow dependent decoupled Slavnov-Taylor identities associated to
gauge invariance and supersymmetry, we discuss the renormalization of the N=4
super-Yang-Mills theory and of its coupling to gauge-invariant operators. We
specify the method for the determination of non-supersymmetric counterterms
that are needed to maintain supersymmetry.
| [
{
"created": "Tue, 26 Sep 2006 19:25:38 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2008 13:53:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Baulieu",
"Laurent",
"",
"LPTHE, CERN"
],
[
"Bossard",
"Guillaume",
"",
"LPTHE"
]
] | Using the shadow dependent decoupled Slavnov-Taylor identities associated to gauge invariance and supersymmetry, we discuss the renormalization of the N=4 super-Yang-Mills theory and of its coupling to gauge-invariant operators. We specify the method for the determination of non-supersymmetric counterterms that are needed to maintain supersymmetry. |
1107.3122 | Joseph Ben Geloun | Joseph Ben Geloun | Classical Group Field Theory | null | null | 10.1063/1.3682651 | pi-qg-229; ICMPA-MPA/007/2011 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The ordinary formalism for classical field theory is applied to dynamical
group field theories. Focusing first on a local group field theory over one
copy of SU(2) and, then, on more involved nonlocal theories (colored and non
colored) defined over a tensor product of the same group, we address the issue
of translation and dilatation symmetries and the corresponding Noether theorem.
The energy momentum tensor and dilatation current are derived and their
properties identified for each case.
| [
{
"created": "Fri, 15 Jul 2011 18:18:05 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Nov 2011 18:16:22 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Geloun",
"Joseph Ben",
""
]
] | The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involved nonlocal theories (colored and non colored) defined over a tensor product of the same group, we address the issue of translation and dilatation symmetries and the corresponding Noether theorem. The energy momentum tensor and dilatation current are derived and their properties identified for each case. |
1205.4460 | Yerko Vasquez | Samuel Lepe, Javier Lorca, Francisco Pena and Yerko Vasquez | Scalar field scattering by a Lifshitz black hole under a non-minimal
coupling | null | null | 10.1103/PhysRevD.86.066008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the behavior of a scalar field under a z = 3 Lifshitz black hole
background, in a way that is non-minimally coupled to the gravitational field.
A general analytical solution is obtained along with two sets of quasinormal
modes associated to different boundary conditions that can be imposed on the
scalar field, non-minimal coupling parameter appears explicitly on these
solutions. Stability of quasinormal modes can be studied and ensured for both
cases. Also, the reflection and absorption coefficients are calculated, as well
as the absorption cross section which features an interesting behavior because
of being attenuated by terms strongly dependant on the non-minimal coupling. By
a suitable change of variables a soliton solution can also be obtained and the
stability of the quasinormal modes are studied and ensured.
| [
{
"created": "Sun, 20 May 2012 21:22:45 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Sep 2012 20:38:24 GMT",
"version": "v2"
}
] | 2012-09-24 | [
[
"Lepe",
"Samuel",
""
],
[
"Lorca",
"Javier",
""
],
[
"Pena",
"Francisco",
""
],
[
"Vasquez",
"Yerko",
""
]
] | We study the behavior of a scalar field under a z = 3 Lifshitz black hole background, in a way that is non-minimally coupled to the gravitational field. A general analytical solution is obtained along with two sets of quasinormal modes associated to different boundary conditions that can be imposed on the scalar field, non-minimal coupling parameter appears explicitly on these solutions. Stability of quasinormal modes can be studied and ensured for both cases. Also, the reflection and absorption coefficients are calculated, as well as the absorption cross section which features an interesting behavior because of being attenuated by terms strongly dependant on the non-minimal coupling. By a suitable change of variables a soliton solution can also be obtained and the stability of the quasinormal modes are studied and ensured. |
1102.5659 | Ernst Trojan | Ernst Trojan and George V. Vlasov | Shock waves in superconducting cosmic strings: growth of current | 13 pages, 3 figures | Phys. Rev. D 85, 1073033 (2012) | 10.1103/PhysRevD.85.107303 | null | hep-th astro-ph.HE hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Intrinsic equations of motion of superconducting cosmic string may admit
solutions in the shock-wave form that implies discontinuity of the current term
\chi. The hypersurface of discontinuity propagates at finite velocity
determined by finite increment \Delta \chi =\chi_+ -\chi_-. The current
increases \chi_+>\chi_- in stable shocks but transition between spacelike (\chi
>0) and timelike (\chi<0) currents is impossible.
| [
{
"created": "Mon, 28 Feb 2011 13:45:14 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2011 20:24:16 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Mar 2011 22:41:16 GMT",
"version": "v3"
},
{
"created": "Tue, 22 May 2012 20:01:29 GMT",
"version": "v4"
}
] | 2015-03-19 | [
[
"Trojan",
"Ernst",
""
],
[
"Vlasov",
"George V.",
""
]
] | Intrinsic equations of motion of superconducting cosmic string may admit solutions in the shock-wave form that implies discontinuity of the current term \chi. The hypersurface of discontinuity propagates at finite velocity determined by finite increment \Delta \chi =\chi_+ -\chi_-. The current increases \chi_+>\chi_- in stable shocks but transition between spacelike (\chi >0) and timelike (\chi<0) currents is impossible. |
hep-th/0501176 | Bo Sun | Bin Chen, Bo Sun | Note on DBI dynamics of Dbrane Near NS5-branes | 13 pages, 2 figures; typos corrected, discussions improved; gauge
dynamics has been included | Phys.Rev.D72:046005,2005 | 10.1103/PhysRevD.72.046005 | null | hep-th | null | In this note, we investigate the homogeneous radial dynamics of (Dp,
NS5)-systems without and with one compactified transverse direction, in the
framework of DBI effective action. During the homogeneous evolution, the
electric field on the D-brane is always conserved and the radial motion could
be reduced to an one-dimension dynamical system with an effective potential.
When the Dp-brane energy is not high, the brane moves in a restricted region,
with the orbits depending on the conserved energy, angular momentum through the
form of the effective potential. When the Dp-brane energy is high enough, it
can escape to the infinity. It turns out that the conserved angular momentum
plays an interesting role in the dynamics. Moreover, we discuss the gauge
dynamics around the tachyon vacuum and find that the dynamics is very
reminiscent of the string fluid in the rolling tachyon case.
| [
{
"created": "Fri, 21 Jan 2005 16:27:22 GMT",
"version": "v1"
},
{
"created": "Sat, 22 Jan 2005 08:33:48 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Apr 2005 08:23:08 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Chen",
"Bin",
""
],
[
"Sun",
"Bo",
""
]
] | In this note, we investigate the homogeneous radial dynamics of (Dp, NS5)-systems without and with one compactified transverse direction, in the framework of DBI effective action. During the homogeneous evolution, the electric field on the D-brane is always conserved and the radial motion could be reduced to an one-dimension dynamical system with an effective potential. When the Dp-brane energy is not high, the brane moves in a restricted region, with the orbits depending on the conserved energy, angular momentum through the form of the effective potential. When the Dp-brane energy is high enough, it can escape to the infinity. It turns out that the conserved angular momentum plays an interesting role in the dynamics. Moreover, we discuss the gauge dynamics around the tachyon vacuum and find that the dynamics is very reminiscent of the string fluid in the rolling tachyon case. |
hep-th/9811016 | Igor Kanatczikow | I. V. Kanatchikov | On Quantization of Field Theories in Polymomentum Variables | 13 pages, uses aipproc.sty and aipproc.cls. To appear in "Particles,
Fields and Gravitation", Proc. Int. Conf. Lodz 1998 (AIP Proceedings, 1998) | AIP Conf.Proc.453:356-367,1998 | 10.1063/1.57105 | null | hep-th | null | Polymomentum canonical theories, which are manifestly covariant
multi-parameter generalizations of the Hamiltonian formalism to field theory,
are considered as a possible basis of quantization. We arrive at a
multi-parameter hypercomplex generalization of quantum mechanics to field
theory in which the algebra of complex numbers and a time parameter are
replaced by the space-time Clifford algebra and space-time variables treated in
a manifestly covariant fashion. The corresponding covariant generalization of
the Schroedinger equation is shown to be consistent with several aspects of the
correspondence principle such as a relation to the De Donder-Weyl
Hamilton-Jacobi theory in the classical limit and the Ehrenfest theorem. A
relation of the corresponding wave function (over a finite dimensional
configuration space of field and space-time variables) to the Schroedinger wave
functional in quantum field theory is examined in the ultra-local
approximation.
| [
{
"created": "Mon, 2 Nov 1998 17:58:57 GMT",
"version": "v1"
}
] | 2010-12-13 | [
[
"Kanatchikov",
"I. V.",
""
]
] | Polymomentum canonical theories, which are manifestly covariant multi-parameter generalizations of the Hamiltonian formalism to field theory, are considered as a possible basis of quantization. We arrive at a multi-parameter hypercomplex generalization of quantum mechanics to field theory in which the algebra of complex numbers and a time parameter are replaced by the space-time Clifford algebra and space-time variables treated in a manifestly covariant fashion. The corresponding covariant generalization of the Schroedinger equation is shown to be consistent with several aspects of the correspondence principle such as a relation to the De Donder-Weyl Hamilton-Jacobi theory in the classical limit and the Ehrenfest theorem. A relation of the corresponding wave function (over a finite dimensional configuration space of field and space-time variables) to the Schroedinger wave functional in quantum field theory is examined in the ultra-local approximation. |
hep-th/0108016 | Paolo Merlatti | P. Merlatti | The enhancon mechanism for fractional branes | 26 pages, 1 figure | Nucl.Phys. B624 (2002) 200-218 | 10.1016/S0550-3213(01)00648-4 | DFTT-22/2001 | hep-th | null | We study the enhancon mechanism for fractional D-branes in conifold and
orbifold backgrounds and show how it can resolve the repulson singularity of
these geometries. In particular we show that the consistency of the excision
process requires that the interior space be not empty. In the orbifold case, we
exploit the boundary state formalism to obtain an explicit conformal
description and emphasize the non trivial role of the volume of the internal
manifold.
| [
{
"created": "Fri, 3 Aug 2001 13:26:29 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2001 16:41:46 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Merlatti",
"P.",
""
]
] | We study the enhancon mechanism for fractional D-branes in conifold and orbifold backgrounds and show how it can resolve the repulson singularity of these geometries. In particular we show that the consistency of the excision process requires that the interior space be not empty. In the orbifold case, we exploit the boundary state formalism to obtain an explicit conformal description and emphasize the non trivial role of the volume of the internal manifold. |
0908.3624 | Murat Gunaydin | Sudarshan Fernando and Murat Gunaydin | Minimal unitary representation of SU(2,2) and its deformations as
massless conformal fields and their supersymmetric extensions | Revised with an extended introduction and additional references.
Typos corrected. 49 pages; Latex file | null | 10.1063/1.3447773 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the minimal unitary representation (minrep) of SO(4,2) over an
Hilbert space of functions of three variables, obtained by quantizing its
quasiconformal action on a five dimensional space. The minrep of SO(4,2), which
coincides with the minrep of SU(2,2) similarly constructed, corresponds to a
massless conformal scalar in four spacetime dimensions. There exists a
one-parameter family of deformations of the minrep of SU(2,2). For positive
(negative) integer values of the deformation parameter \zeta one obtains
positive energy unitary irreducible representations corresponding to massless
conformal fields transforming in (0,\zeta/2) ((-\zeta/2,0)) representation of
the SL(2,C) subgroup. We construct the supersymmetric extensions of the minrep
of SU(2,2) and its deformations to those of SU(2,2|N). The minimal unitary
supermultiplet of SU(2,2|4), in the undeformed case, simply corresponds to the
massless N=4 Yang-Mills supermultiplet in four dimensions. For each given
non-zero integer value of \zeta, one obtains a unique supermultiplet of
massless conformal fields of higher spin. For SU(2,2|4) these supermultiplets
are simply the doubleton supermultiplets studied in arXiv:hep-th/9806042.
| [
{
"created": "Tue, 25 Aug 2009 14:18:00 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Sep 2009 04:12:15 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Fernando",
"Sudarshan",
""
],
[
"Gunaydin",
"Murat",
""
]
] | We study the minimal unitary representation (minrep) of SO(4,2) over an Hilbert space of functions of three variables, obtained by quantizing its quasiconformal action on a five dimensional space. The minrep of SO(4,2), which coincides with the minrep of SU(2,2) similarly constructed, corresponds to a massless conformal scalar in four spacetime dimensions. There exists a one-parameter family of deformations of the minrep of SU(2,2). For positive (negative) integer values of the deformation parameter \zeta one obtains positive energy unitary irreducible representations corresponding to massless conformal fields transforming in (0,\zeta/2) ((-\zeta/2,0)) representation of the SL(2,C) subgroup. We construct the supersymmetric extensions of the minrep of SU(2,2) and its deformations to those of SU(2,2|N). The minimal unitary supermultiplet of SU(2,2|4), in the undeformed case, simply corresponds to the massless N=4 Yang-Mills supermultiplet in four dimensions. For each given non-zero integer value of \zeta, one obtains a unique supermultiplet of massless conformal fields of higher spin. For SU(2,2|4) these supermultiplets are simply the doubleton supermultiplets studied in arXiv:hep-th/9806042. |
hep-th/0201266 | Victor O. Rivelles | Victor O. Rivelles | Off-Shell Duality in Maxwell and Born-Infeld Theories | 5 pages, revtex, talk presented at XXII Encontro Nacional de Fisica
de Particulas e Campos, Sao Lourenco, Brazil, October 22 to 26, 2001 | null | null | null | hep-th | null | It is well known that the classical equations of motion of Maxwell and
Born-Infeld theories are invariant under a duality symmetry acting on the field
strengths. We review the implementation of the SL(2,Z) duality in these
theories as linear but non-local transformations of the potentials.
| [
{
"created": "Thu, 31 Jan 2002 14:38:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Rivelles",
"Victor O.",
""
]
] | It is well known that the classical equations of motion of Maxwell and Born-Infeld theories are invariant under a duality symmetry acting on the field strengths. We review the implementation of the SL(2,Z) duality in these theories as linear but non-local transformations of the potentials. |
hep-th/9805205 | Maureen Meyer | S. Deser (Brandeis University) | D=11 Supergravity Revisited | 12 pages. Lecture delivered at Arnowitt Fest, to appear in
Relativity, Particle Physics and Cosmology (World Scientific) | Relativity, particle physics and cosmology (World Pub 1999) | null | BRX TH-435 | hep-th gr-qc | null | I discuss two novel results in D=11 Supergravity. The first establishes, in
two complementary ways, a no-go theorem that, in contrast to all D<11, a
cosmological extension of the theory does not exist. The second deals with the
structure of (on-shell) four-point invariants. These are important both for
establishing existence of the lowest (2-loop) order candidate counter-terms in
the theory proper, as well as for comparison with the form of eventual
"zero-slope" QFT limit of M-theory.
| [
{
"created": "Thu, 28 May 1998 20:39:24 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Deser",
"S.",
"",
"Brandeis University"
]
] | I discuss two novel results in D=11 Supergravity. The first establishes, in two complementary ways, a no-go theorem that, in contrast to all D<11, a cosmological extension of the theory does not exist. The second deals with the structure of (on-shell) four-point invariants. These are important both for establishing existence of the lowest (2-loop) order candidate counter-terms in the theory proper, as well as for comparison with the form of eventual "zero-slope" QFT limit of M-theory. |
1909.12866 | Harun Omer | Harun Omer | Embedding LFHQCD in Worldsheet String Theory | 12 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Light-front holographic quantum chromodynamics (LFHQCD) has been proposed as
an approximation to QCD which is non-perturbative and at the same time
analytically tractable. It can be derived from the holographic light-cone
Hamiltonian and effectively corresponds to a one-dimensional superconformal
quantum theory. It is proposed in this paper to extend the underlying quantum
group to N = 2 SCFT. This provides an avenue for bottom-up string theory
model-building which is firmly grounded in phenomenology. Moreover, the
peculiar properties of the model carry over to provide novel solutions to
string theory problems, including supersymmetry without predicting
superpartners as well as the breaking of the conformal symmetry and the
introduction of a low-energy scale such that the massive Virasoro modes
correspond to hadronic states reminiscent of what was once envisioned in the
Veneziano model.
| [
{
"created": "Fri, 27 Sep 2019 18:34:05 GMT",
"version": "v1"
}
] | 2019-10-01 | [
[
"Omer",
"Harun",
""
]
] | Light-front holographic quantum chromodynamics (LFHQCD) has been proposed as an approximation to QCD which is non-perturbative and at the same time analytically tractable. It can be derived from the holographic light-cone Hamiltonian and effectively corresponds to a one-dimensional superconformal quantum theory. It is proposed in this paper to extend the underlying quantum group to N = 2 SCFT. This provides an avenue for bottom-up string theory model-building which is firmly grounded in phenomenology. Moreover, the peculiar properties of the model carry over to provide novel solutions to string theory problems, including supersymmetry without predicting superpartners as well as the breaking of the conformal symmetry and the introduction of a low-energy scale such that the massive Virasoro modes correspond to hadronic states reminiscent of what was once envisioned in the Veneziano model. |
hep-th/0105120 | Giovanni Amelino-Camelia | Giovanni Amelino-Camelia, Michele Arzano | Coproduct and star product in field theories on Lie-algebra
non-commutative space-times | LaTex, 16 pages. Some remarks on the differences between planar and
nonplanar diagrams have been added | Phys.Rev.D65:084044,2002 | 10.1103/PhysRevD.65.084044 | null | hep-th gr-qc | null | We propose a new approach to field theory on $\kappa$-Minkowski
non-commutative space-time, a popular example of Lie-algebra space-time. Our
proposal is essentially based on the introduction of a star product, a
technique which is proving to be very fruitful in analogous studies of
canonical non-commutative space-times, such as the ones recently found to play
a role in the description of certain string-theory backgrounds. We find to be
incorrect the expectation, previously reported in the literature, that the lack
of symmetry of the $\kappa$-Poincare' coproduct should lead to interaction
vertices that are not symmetric under exchanges of the momenta of identical
particles entering the relevant processes. We show that in $\kappa$-Minkowski
the coproduct and the star product must indeed treat momenta in a non-symmetric
way, but the overall structure of interaction vertices is symmetric under
exchange of identical particles. We also show that in $\kappa$-Minkowski field
theories it is convenient to introduce the concepts of "planar" and
"non-planar" Feynman loop-diagrams, again in close analogy with the
corresponding concepts previously introduced in the study of field theories in
canonical non-commutative space-times.
| [
{
"created": "Sun, 13 May 2001 07:57:12 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Sep 2001 06:16:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Arzano",
"Michele",
""
]
] | We propose a new approach to field theory on $\kappa$-Minkowski non-commutative space-time, a popular example of Lie-algebra space-time. Our proposal is essentially based on the introduction of a star product, a technique which is proving to be very fruitful in analogous studies of canonical non-commutative space-times, such as the ones recently found to play a role in the description of certain string-theory backgrounds. We find to be incorrect the expectation, previously reported in the literature, that the lack of symmetry of the $\kappa$-Poincare' coproduct should lead to interaction vertices that are not symmetric under exchanges of the momenta of identical particles entering the relevant processes. We show that in $\kappa$-Minkowski the coproduct and the star product must indeed treat momenta in a non-symmetric way, but the overall structure of interaction vertices is symmetric under exchange of identical particles. We also show that in $\kappa$-Minkowski field theories it is convenient to introduce the concepts of "planar" and "non-planar" Feynman loop-diagrams, again in close analogy with the corresponding concepts previously introduced in the study of field theories in canonical non-commutative space-times. |
hep-th/0702086 | Yoshihiro Takeyama | H. Boos, M. Jimbo, T. Miwa, F. Smirnov and Y. Takeyama | Fermionic basis for space of operators in the XXZ model | 34 pages, no figure | null | null | null | hep-th math.QA | null | In the recent study of correlation functions for the infinite XXZ spin chain,
a new pair of anti-commuting operators $b(z), c(z)$ was introduced. They act on
the space of quasi-local operators, which are local operators multiplied by the
disorder operator. For the inhomogeneous chain with the spectral parameters
$\xi_{k}$, these operators have simple poles at $z^2=\xi_{k}^2$. The residues
are denoted by $b_{k}, c_{k}$. At $q=i$, we show that the operators $b_{k},
c_{k}$ are cubic monomials in free fermions. In other words, the action of
these operators is very simple in the fermion basis. We give an explicit
construction of these fermions. Then, we show that the existence of the
fermionic basis is a consequence of the Grassmann relation, the equivariance
with respect to the action of the symmetric group and the reduction property,
which are all valid for the operators $b_{k}, c_{k}$ in the case of generic
$q$.
| [
{
"created": "Mon, 12 Feb 2007 05:33:22 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Boos",
"H.",
""
],
[
"Jimbo",
"M.",
""
],
[
"Miwa",
"T.",
""
],
[
"Smirnov",
"F.",
""
],
[
"Takeyama",
"Y.",
""
]
] | In the recent study of correlation functions for the infinite XXZ spin chain, a new pair of anti-commuting operators $b(z), c(z)$ was introduced. They act on the space of quasi-local operators, which are local operators multiplied by the disorder operator. For the inhomogeneous chain with the spectral parameters $\xi_{k}$, these operators have simple poles at $z^2=\xi_{k}^2$. The residues are denoted by $b_{k}, c_{k}$. At $q=i$, we show that the operators $b_{k}, c_{k}$ are cubic monomials in free fermions. In other words, the action of these operators is very simple in the fermion basis. We give an explicit construction of these fermions. Then, we show that the existence of the fermionic basis is a consequence of the Grassmann relation, the equivariance with respect to the action of the symmetric group and the reduction property, which are all valid for the operators $b_{k}, c_{k}$ in the case of generic $q$. |
hep-th/0409188 | Simon F. Ross | Owen Madden and Simon F. Ross | On uniqueness of charged Kerr-AdS black holes in five dimensions | 11 pages, v2: added mass formula and discussion of discrete
non-uniqueness | Class.Quant.Grav. 22 (2005) 515-524 | 10.1088/0264-9381/22/3/004 | DCPT-04/29 | hep-th | null | We show that the solutions describing charged rotating black holes in
five-dimensional gauged supergravities found recently by Cvetic, Lu and Pope
[hep-th/0406196,hep-th/0407058] are completely specified by the mass, charges
and angular momentum. The additional parameter appearing in these solutions is
removed by a coordinate transformation and redefinition of parameters. Thus,
the apparent hair in these solutions is unphysical.
| [
{
"created": "Fri, 17 Sep 2004 21:35:45 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Nov 2004 12:07:46 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Madden",
"Owen",
""
],
[
"Ross",
"Simon F.",
""
]
] | We show that the solutions describing charged rotating black holes in five-dimensional gauged supergravities found recently by Cvetic, Lu and Pope [hep-th/0406196,hep-th/0407058] are completely specified by the mass, charges and angular momentum. The additional parameter appearing in these solutions is removed by a coordinate transformation and redefinition of parameters. Thus, the apparent hair in these solutions is unphysical. |
1010.0087 | Hagop Sazdjian | H. Sazdjian | The gauge invariant quark Green's function in two-dimensional QCD | 7 pages, 2 figures. Talk given at the Beppe Nardulli Memorial
Workshop, QCD@Work - Theory and Experiment, 20-23 June 2010, Martina Franca,
Italy | AIP Conf.Proc.1317:149-155,2011 | 10.1063/1.3536549 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gauge invariant quark Green's function, defined with a path-ordered phase
factor along a straight line, is studied in two-dimensional QCD in the
large-N_c limit by means of an exact integrodifferential equation. It is found
to be infrared finite with singularities represented by an infinite number of
threshold type branch points with a power of -3/2, starting at positive mass
squared values. The Green's function is analytically determined.
| [
{
"created": "Fri, 1 Oct 2010 07:19:43 GMT",
"version": "v1"
}
] | 2011-02-01 | [
[
"Sazdjian",
"H.",
""
]
] | The gauge invariant quark Green's function, defined with a path-ordered phase factor along a straight line, is studied in two-dimensional QCD in the large-N_c limit by means of an exact integrodifferential equation. It is found to be infrared finite with singularities represented by an infinite number of threshold type branch points with a power of -3/2, starting at positive mass squared values. The Green's function is analytically determined. |
hep-th/0409229 | Marco Serone | Marco Serone and Andrea Wulzer | Orbifold resolutions and fermion localization | 37 pages, 5 figures; v2: minor improvements and references added | Class.Quant.Grav. 22 (2005) 4621-4650 | 10.1088/0264-9381/22/21/010 | SISSA-64/2004/EP | hep-th hep-ph | null | We study the Dirac equation of chiral fermions on a regularized version of
the two-dimensional T^2/Z_2 orbifold, where the conical singularities are
replaced by suitable spherical caps with constant curvature. This study shows
how localized and bulk fermions arise in the orbifold as the resolved space
approaches the orbifold limit.
Our analysis also shows that not all possible fermion configurations on
T^2/Z_2 admit such a simple resolution. We focus our study to a fermion coupled
to a U(1) gauge field. It is explicitly shown how a resolution of the orbifold
puts severe constraints on the allowed chiralities and U(1) charges of the
massless four dimensional fermions, localized or not, that can be present in
the orbifold.
The limit in which T^2/Z_2 (and its corresponding resolved space) collapses
to S^1/Z_2 is also studied in detail.
| [
{
"created": "Thu, 23 Sep 2004 08:52:37 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2005 16:48:10 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Serone",
"Marco",
""
],
[
"Wulzer",
"Andrea",
""
]
] | We study the Dirac equation of chiral fermions on a regularized version of the two-dimensional T^2/Z_2 orbifold, where the conical singularities are replaced by suitable spherical caps with constant curvature. This study shows how localized and bulk fermions arise in the orbifold as the resolved space approaches the orbifold limit. Our analysis also shows that not all possible fermion configurations on T^2/Z_2 admit such a simple resolution. We focus our study to a fermion coupled to a U(1) gauge field. It is explicitly shown how a resolution of the orbifold puts severe constraints on the allowed chiralities and U(1) charges of the massless four dimensional fermions, localized or not, that can be present in the orbifold. The limit in which T^2/Z_2 (and its corresponding resolved space) collapses to S^1/Z_2 is also studied in detail. |
1606.08807 | Falko Dulat | Vittorio Del Duca, Stefan Druc, James Drummond, Claude Duhr, Falko
Dulat, Robin Marzucca, Georgios Papathanasiou, Bram Verbeek | Multi-Regge kinematics and the moduli space of Riemann spheres with
marked points | 104 pages, six awesome figures and ancillary files containing the
results in Mathematica format | null | 10.1007/JHEP08(2016)152 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that scattering amplitudes in planar N = 4 Super Yang-Mills in
multi-Regge kinematics can naturally be expressed in terms of single-valued
iterated integrals on the moduli space of Riemann spheres with marked points.
As a consequence, scattering amplitudes in this limit can be expressed as
convolutions that can easily be computed using Stokes' theorem. We apply this
framework to MHV amplitudes to leading-logarithmic accuracy (LLA), and we prove
that at L loops all MHV amplitudes are determined by amplitudes with up to L +
4 external legs. We also investigate non-MHV amplitudes, and we show that they
can be obtained by convoluting the MHV results with a certain helicity flip
kernel. We classify all leading singularities that appear at LLA in the Regge
limit for arbitrary helicity configurations and any number of external legs.
Finally, we use our new framework to obtain explicit analytic results at LLA
for all MHV amplitudes up to five loops and all non-MHV amplitudes with up to
eight external legs and four loops.
| [
{
"created": "Tue, 28 Jun 2016 18:05:26 GMT",
"version": "v1"
}
] | 2016-09-21 | [
[
"Del Duca",
"Vittorio",
""
],
[
"Druc",
"Stefan",
""
],
[
"Drummond",
"James",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Marzucca",
"Robin",
""
],
[
"Papathanasiou",
"Georgios",
""
],
... | We show that scattering amplitudes in planar N = 4 Super Yang-Mills in multi-Regge kinematics can naturally be expressed in terms of single-valued iterated integrals on the moduli space of Riemann spheres with marked points. As a consequence, scattering amplitudes in this limit can be expressed as convolutions that can easily be computed using Stokes' theorem. We apply this framework to MHV amplitudes to leading-logarithmic accuracy (LLA), and we prove that at L loops all MHV amplitudes are determined by amplitudes with up to L + 4 external legs. We also investigate non-MHV amplitudes, and we show that they can be obtained by convoluting the MHV results with a certain helicity flip kernel. We classify all leading singularities that appear at LLA in the Regge limit for arbitrary helicity configurations and any number of external legs. Finally, we use our new framework to obtain explicit analytic results at LLA for all MHV amplitudes up to five loops and all non-MHV amplitudes with up to eight external legs and four loops. |
0909.0634 | Vasiliy Kuratov | I.V.Kostyakov, V.V.Kuratov | Massive Yang-Mills fields, translational and nonsemisimple gauge
symmetry | 14 pages | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge fields of semisimple groups of internal symmetries are massless and
require the special techniques for guarantee their mass. Massive mechanisms
usually contain transformations of shifts typical to nonsemisimple groups. We
show that under the localization of nonsemisimple internal symmetry the gauge
fields corresponding to translation generators are massive. In addition, we
introduce nonlinear generalizations of well-known models, with local
translational symmetry and as a result, the massive gauge fields. Thus, the
local Galilean symmetry is realized on a special pair of scalar fields, leading
to massive electrodynamics, and the localization of the Euclidean group leads
to massive non-Abelian theory without matter fields. We propose a simple
interpretation of the Stueckelberg mechanism.
| [
{
"created": "Thu, 3 Sep 2009 11:56:49 GMT",
"version": "v1"
}
] | 2009-09-04 | [
[
"Kostyakov",
"I. V.",
""
],
[
"Kuratov",
"V. V.",
""
]
] | Gauge fields of semisimple groups of internal symmetries are massless and require the special techniques for guarantee their mass. Massive mechanisms usually contain transformations of shifts typical to nonsemisimple groups. We show that under the localization of nonsemisimple internal symmetry the gauge fields corresponding to translation generators are massive. In addition, we introduce nonlinear generalizations of well-known models, with local translational symmetry and as a result, the massive gauge fields. Thus, the local Galilean symmetry is realized on a special pair of scalar fields, leading to massive electrodynamics, and the localization of the Euclidean group leads to massive non-Abelian theory without matter fields. We propose a simple interpretation of the Stueckelberg mechanism. |
0704.1026 | Yi Wang | Miao Li, Yi Wang | The Measure for the Multiverse and the Probability for Inflation | 16 pages | JCAP 0706:012,2007 | 10.1088/1475-7516/2007/06/012 | USTC-ICTS-07-07 | hep-th astro-ph gr-qc | null | We investigate the measure problem in the framework of inflationary
cosmology. The measure of the history space is constructed and applied to
inflation models. Using this measure, it is shown that the probability for the
generalized single field slow roll inflation to last for $N$ e-folds is
suppressed by a factor $\exp(-3N)$, and the probability for the generalized
$n$-field slow roll inflation is suppressed by a much larger factor
$\exp(-3nN)$. Some non-inflationary models such as the cyclic model do not
suffer from this difficulty.
| [
{
"created": "Mon, 9 Apr 2007 14:02:30 GMT",
"version": "v1"
}
] | 2010-10-27 | [
[
"Li",
"Miao",
""
],
[
"Wang",
"Yi",
""
]
] | We investigate the measure problem in the framework of inflationary cosmology. The measure of the history space is constructed and applied to inflation models. Using this measure, it is shown that the probability for the generalized single field slow roll inflation to last for $N$ e-folds is suppressed by a factor $\exp(-3N)$, and the probability for the generalized $n$-field slow roll inflation is suppressed by a much larger factor $\exp(-3nN)$. Some non-inflationary models such as the cyclic model do not suffer from this difficulty. |
1809.00417 | Andrei Zelnikov | Valeri P. Frolov and Andrei Zelnikov | Superradiance in a ghost-free scalar theory | 11 pages, 5 figures | Phys. Rev. D 98, 084035 (2018) | 10.1103/PhysRevD.98.084035 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study superradiance effect in the ghost-free theory. We consider a
scattering of a ghost-free scalar massless field on a rotating cylinder. We
assume that cylinder is thin and empty inside, so that its interaction with the
field is described by a delta-like potential. This potential besides the real
factor, describing its height, contains also imaginary part, responsible for
the absorption of the field. By calculating the scattering amplitude we
obtained the amplification coefficient both in the local and non-local
(ghost-free) models and demonstrated that in the both cases it is greater than
1 when the standard superradiance condition is satisfied. We also demonstrated
that dependence of the amplification coefficient on the frequency of the scalar
field wave may be essentially modified in the non-local case.
| [
{
"created": "Mon, 3 Sep 2018 00:51:12 GMT",
"version": "v1"
}
] | 2018-10-24 | [
[
"Frolov",
"Valeri P.",
""
],
[
"Zelnikov",
"Andrei",
""
]
] | We study superradiance effect in the ghost-free theory. We consider a scattering of a ghost-free scalar massless field on a rotating cylinder. We assume that cylinder is thin and empty inside, so that its interaction with the field is described by a delta-like potential. This potential besides the real factor, describing its height, contains also imaginary part, responsible for the absorption of the field. By calculating the scattering amplitude we obtained the amplification coefficient both in the local and non-local (ghost-free) models and demonstrated that in the both cases it is greater than 1 when the standard superradiance condition is satisfied. We also demonstrated that dependence of the amplification coefficient on the frequency of the scalar field wave may be essentially modified in the non-local case. |
hep-th/0305075 | Pere Talavera | Lluis Ametller, Josep Maria Pons and Pere Talavera | On the consistency of the N=1 SYM spectra from wrapped five-branes | 30 pages, latex | Nucl.Phys.B674:231-258,2003 | 10.1016/j.nuclphysb.2003.09.042 | Imperial/TP/2-03 /21 | hep-th | null | We discuss the existence of glueball states for N=1 SYM within the
Maldacena-Nunez model. We find that for this model the existence of an area law
in the Wilson loop operator does not imply the existence of a discrete glueball
spectrum. We suggest that implementing the model with an upper hard cut-off can
amend the lack of spectrum. As a result the model can be only interpreted in
the infra-red region. A direct comparison with the lattice data allows us to
fix the scale up to where the model is sensible to describe low-energy
observables. Nevertheless, taking for granted the lattice results, the
resulting spectrum does not follow the general trends found in other
supergravity backgrounds. We further discuss the decoupling of the non-singlet
Kaluza-Klein states by analysing the associated supergravity equation of
motion. The inclusion of non-commutative effects is also analysed and we find
that leads to an enhancement on the value of the masses.
| [
{
"created": "Fri, 9 May 2003 14:40:35 GMT",
"version": "v1"
}
] | 2011-03-22 | [
[
"Ametller",
"Lluis",
""
],
[
"Pons",
"Josep Maria",
""
],
[
"Talavera",
"Pere",
""
]
] | We discuss the existence of glueball states for N=1 SYM within the Maldacena-Nunez model. We find that for this model the existence of an area law in the Wilson loop operator does not imply the existence of a discrete glueball spectrum. We suggest that implementing the model with an upper hard cut-off can amend the lack of spectrum. As a result the model can be only interpreted in the infra-red region. A direct comparison with the lattice data allows us to fix the scale up to where the model is sensible to describe low-energy observables. Nevertheless, taking for granted the lattice results, the resulting spectrum does not follow the general trends found in other supergravity backgrounds. We further discuss the decoupling of the non-singlet Kaluza-Klein states by analysing the associated supergravity equation of motion. The inclusion of non-commutative effects is also analysed and we find that leads to an enhancement on the value of the masses. |
1608.07294 | Francesco Benini | Francesco Benini, Kiril Hristov, Alberto Zaffaroni | Exact microstate counting for dyonic black holes in AdS4 | 4 pages | Phys.Lett.B 771, 462 (2017) | 10.1016/j.physletb.2017.05.076 | SISSA 41/2016/FISI | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a counting of microstates of a class of dyonic BPS black holes in
AdS$_4$ which precisely reproduces their Bekenstein-Hawking entropy. The
counting is performed in the dual boundary description, that provides a
non-perturbative definition of quantum gravity, in terms of a twisted and
mass-deformed ABJM theory. We evaluate its twisted index and propose an
extremization principle to extract the entropy, which reproduces the attractor
mechanism in gauged supergravity.
| [
{
"created": "Thu, 25 Aug 2016 20:00:09 GMT",
"version": "v1"
}
] | 2024-02-16 | [
[
"Benini",
"Francesco",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] | We present a counting of microstates of a class of dyonic BPS black holes in AdS$_4$ which precisely reproduces their Bekenstein-Hawking entropy. The counting is performed in the dual boundary description, that provides a non-perturbative definition of quantum gravity, in terms of a twisted and mass-deformed ABJM theory. We evaluate its twisted index and propose an extremization principle to extract the entropy, which reproduces the attractor mechanism in gauged supergravity. |
1606.05959 | Xian-Hui Ge | Xian-Hui Ge, Yu Tian, Shang-Yu Wu, Shao-Feng Wu | Hyperscaling violating black hole solutions and Magneto-thermoelectric
DC conductivities in holography | 10 pages, two figures, major revision, published version | Phys. Rev. D 96, 046015 (2017) | 10.1103/PhysRevD.96.046015 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive new black hole solutions in Einstein-Maxwell-Axion-Dilaton theory
with a hyperscaling violation exponent. We then examine the corresponding
anomalous transport exhibited by cuprate strange metals in the normal phase of
high-temperature superconductors via gauge/gravity duality. Linear temperature
dependence resistivity and quadratic temperature dependence inverse Hall angle
can be achieved. In the high temperature regime, the heat conductivity and Hall
Lorenz ratio are proportional to the temperature. The Nernst signal first
increases as temperature goes up but it then decreases with increasing
temperature in the high temperature regime.
| [
{
"created": "Mon, 20 Jun 2016 02:36:43 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2016 02:14:46 GMT",
"version": "v2"
},
{
"created": "Tue, 29 Aug 2017 05:15:47 GMT",
"version": "v3"
}
] | 2017-09-06 | [
[
"Ge",
"Xian-Hui",
""
],
[
"Tian",
"Yu",
""
],
[
"Wu",
"Shang-Yu",
""
],
[
"Wu",
"Shao-Feng",
""
]
] | We derive new black hole solutions in Einstein-Maxwell-Axion-Dilaton theory with a hyperscaling violation exponent. We then examine the corresponding anomalous transport exhibited by cuprate strange metals in the normal phase of high-temperature superconductors via gauge/gravity duality. Linear temperature dependence resistivity and quadratic temperature dependence inverse Hall angle can be achieved. In the high temperature regime, the heat conductivity and Hall Lorenz ratio are proportional to the temperature. The Nernst signal first increases as temperature goes up but it then decreases with increasing temperature in the high temperature regime. |
2202.02584 | Xavier Calmet | Xavier Calmet and Folkert Kuipers | Black Holes in Quantum Gravity | to appear in the proceedings of QGRAV-2021 | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review some recent results obtained for black holes using effective field
theory methods applied to quantum gravity, in particular the unique effective
action. Black holes are complex thermodynamical objects that not only have a
temperature but also have a pressure. Furthermore, they have quantum hair which
provides a solution to the black hole information paradox.
| [
{
"created": "Sat, 5 Feb 2022 15:45:56 GMT",
"version": "v1"
}
] | 2022-02-08 | [
[
"Calmet",
"Xavier",
""
],
[
"Kuipers",
"Folkert",
""
]
] | We review some recent results obtained for black holes using effective field theory methods applied to quantum gravity, in particular the unique effective action. Black holes are complex thermodynamical objects that not only have a temperature but also have a pressure. Furthermore, they have quantum hair which provides a solution to the black hole information paradox. |
0710.2551 | Giovanni Villadoro | Giovanni Villadoro and Fabio Zwirner | On general flux backgrounds with localized sources | 29 pages, 2 figures, v2: published version | JHEP 0711:082,2007 | 10.1088/1126-6708/2007/11/082 | DFPD-07/TH/17 | hep-th | null | We derive new consistency conditions for string compactifications with
generic fluxes (RR, NSNS, geometrical) and localized sources (D-branes,
NS-branes, KK-monopoles). The constraints are all related by string dualities
and share a common origin in M-theory. We also find new sources of
instabilities. We discuss the importance of these conditions for the
consistency of the effective action and for the study of interpolating
solutions between vacua.
| [
{
"created": "Fri, 12 Oct 2007 21:04:48 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2007 23:17:08 GMT",
"version": "v2"
}
] | 2009-05-20 | [
[
"Villadoro",
"Giovanni",
""
],
[
"Zwirner",
"Fabio",
""
]
] | We derive new consistency conditions for string compactifications with generic fluxes (RR, NSNS, geometrical) and localized sources (D-branes, NS-branes, KK-monopoles). The constraints are all related by string dualities and share a common origin in M-theory. We also find new sources of instabilities. We discuss the importance of these conditions for the consistency of the effective action and for the study of interpolating solutions between vacua. |
hep-th/9505051 | Ken Intriligator | K. Intriligator | New RG Fixed Points and Duality in Supersymmetric SP(N_c) and SO(N_c)
Gauge Theories | 13 pages, harvmac | Nucl.Phys. B448 (1995) 187-198 | 10.1016/0550-3213(95)00296-5 | RU-95-27 | hep-th | null | We present evidence for new, non-trivial RG fixed points with dual magnetic
descriptions in $N=1$ supersymmetric $SP(N_c)$ and $SO(N_c)$ gauge theories.
The $SP(N_c)$ case involves matter $X$ in the antisymmetric tensor
representation and $N_f$ flavors of quarks $Q$ in the fundamental
representation. The $SO(N_c)$ case involves matter $X$ in the symmetric tensor
representation and $N_f$ flavors of quarks $Q$ in the vector representation of
$SO(N_c)$. Perturbing these theories by superpotentials $W(X)$, we find a
variety of interesting RG fixed points with dual descriptions. The duality in
these theories is similar to that found by Kutasov and by Kutasov and Schwimmer
in $SU(N_c)$ with adjoint $X$ and $N_f$ quarks in the fundamental.
| [
{
"created": "Wed, 10 May 1995 04:36:12 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Intriligator",
"K.",
""
]
] | We present evidence for new, non-trivial RG fixed points with dual magnetic descriptions in $N=1$ supersymmetric $SP(N_c)$ and $SO(N_c)$ gauge theories. The $SP(N_c)$ case involves matter $X$ in the antisymmetric tensor representation and $N_f$ flavors of quarks $Q$ in the fundamental representation. The $SO(N_c)$ case involves matter $X$ in the symmetric tensor representation and $N_f$ flavors of quarks $Q$ in the vector representation of $SO(N_c)$. Perturbing these theories by superpotentials $W(X)$, we find a variety of interesting RG fixed points with dual descriptions. The duality in these theories is similar to that found by Kutasov and by Kutasov and Schwimmer in $SU(N_c)$ with adjoint $X$ and $N_f$ quarks in the fundamental. |
1509.03031 | Peter M. Lavrov | Peter M. Lavrov and Olga V. Radchenko | Once again on the Gribov horizon | 1+7 pages, no figures, v2: minor corrections, references added | Mod.Phys.Lett.A30 (2015) 1550215 | 10.1142/S0217732315502156 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gauge dependence problem existing in the original Gribov-Zwanziger theory
is discussed.
| [
{
"created": "Thu, 10 Sep 2015 06:54:31 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2015 02:54:08 GMT",
"version": "v2"
}
] | 2015-12-07 | [
[
"Lavrov",
"Peter M.",
""
],
[
"Radchenko",
"Olga V.",
""
]
] | The gauge dependence problem existing in the original Gribov-Zwanziger theory is discussed. |
1212.3742 | Hossein Yavartanoo | Hossein Yavartanoo | On EVH black hole solution in Heterotic string theory | 16 pages. arXiv admin note: substantial text overlap with
arXiv:1107.5705 | Nucl.Phys. B863 (2012) 410-420 | 10.1016/j.nuclphysb.2012.05.028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the near horizon geometry of charged rotating black holes in
toroidal compactifications of heterotic string theory. We analyze the extremal
vanishing horizon (EVH) limit for these black hole solu- tions and we will show
that the near horizon geometry develops an AdS3 throat. Furthermore, we will
show that the near horizon limit of near EVH black holes has a BTZ factor. We
also comment on the CFT dual to this near horizon geometry.
| [
{
"created": "Sun, 16 Dec 2012 00:27:53 GMT",
"version": "v1"
}
] | 2012-12-18 | [
[
"Yavartanoo",
"Hossein",
""
]
] | We study the near horizon geometry of charged rotating black holes in toroidal compactifications of heterotic string theory. We analyze the extremal vanishing horizon (EVH) limit for these black hole solu- tions and we will show that the near horizon geometry develops an AdS3 throat. Furthermore, we will show that the near horizon limit of near EVH black holes has a BTZ factor. We also comment on the CFT dual to this near horizon geometry. |
2012.10536 | Jos\'e Nicasio | Naser Ahmadiniaz and James P. Edwards and Jos\'e Nicasio and Christian
Schubert | The Generalised LKF Transformations for Arbitrary $N$-point Fermion
Correlators | 24 pages, 2 figures | Phys. Rev. D 104, 025014 (2021) | 10.1103/PhysRevD.104.025014 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the non-perturbative gauge dependence of arbitrary configuration
space fermion correlators in quantum electrodynamics (QED). First, we study the
dressed electron propagator (allowing for emission or absorption of any number
of photons along a fermion line) using the first quantised approach to quantum
field theory and analyse its gauge transformation properties induced by virtual
photon exchange. This is then extended to the $N$-point functions where we
derive an exact, generalised version of the fully non-perturbative
Landau-Khalatnikov-Fradkin (LKF) transformation for these correlators. We
discuss some general aspects of application in perturbation theory and
investigate the structure of the LKF factor about $D = 2$ dimensions.
| [
{
"created": "Fri, 18 Dec 2020 22:10:33 GMT",
"version": "v1"
}
] | 2021-07-21 | [
[
"Ahmadiniaz",
"Naser",
""
],
[
"Edwards",
"James P.",
""
],
[
"Nicasio",
"José",
""
],
[
"Schubert",
"Christian",
""
]
] | We examine the non-perturbative gauge dependence of arbitrary configuration space fermion correlators in quantum electrodynamics (QED). First, we study the dressed electron propagator (allowing for emission or absorption of any number of photons along a fermion line) using the first quantised approach to quantum field theory and analyse its gauge transformation properties induced by virtual photon exchange. This is then extended to the $N$-point functions where we derive an exact, generalised version of the fully non-perturbative Landau-Khalatnikov-Fradkin (LKF) transformation for these correlators. We discuss some general aspects of application in perturbation theory and investigate the structure of the LKF factor about $D = 2$ dimensions. |
1812.10043 | Sergey Derkachov | N. Belousov, S. Derkachov | Q-operator for the quantum NLS model | null | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we show that the operator introduced by A. A. Tsvetkov enjoys
all the needed properties of a Q-operator. It is shown that the Q-operator of
the XXX spin chain with generic values of spin turns into Tsvetkov's operator
in the continuum limit for large spin.
| [
{
"created": "Tue, 25 Dec 2018 06:02:27 GMT",
"version": "v1"
}
] | 2018-12-27 | [
[
"Belousov",
"N.",
""
],
[
"Derkachov",
"S.",
""
]
] | In this paper we show that the operator introduced by A. A. Tsvetkov enjoys all the needed properties of a Q-operator. It is shown that the Q-operator of the XXX spin chain with generic values of spin turns into Tsvetkov's operator in the continuum limit for large spin. |
1408.6456 | Claude Daviau | Claude Daviau (ECN), Jacques Bertrand | A wave equation including leptons and quarks for the standard model of
quantum physics in Clifford Algebra | null | null | 10.4236/jmp.2014.518210 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A wave equation with mass term is studied for all particles and antiparticles
of the first generation: electron and its neutrino, positron and antineutrino,
quarks $u$ and $d$ with three states of color and antiquarks $\overline{u}$ and
$\overline{d}$. This wave equation is form invariant under the $Cl_3^*$ group
generalizing the relativistic invariance. It is gauge invariant under the
$U(1)\times SU(2) \times SU(3)$ group of the standard model of quantum physics.
The wave is a function of space and time with value in the Clifford algebra
$Cl_{1,5}$. All features of the standard model, charge conjugation, color, left
waves, Lagrangian formalism, are linked to the geometry of this extended
space-time.
| [
{
"created": "Wed, 27 Aug 2014 16:34:07 GMT",
"version": "v1"
}
] | 2015-06-22 | [
[
"Daviau",
"Claude",
"",
"ECN"
],
[
"Bertrand",
"Jacques",
""
]
] | A wave equation with mass term is studied for all particles and antiparticles of the first generation: electron and its neutrino, positron and antineutrino, quarks $u$ and $d$ with three states of color and antiquarks $\overline{u}$ and $\overline{d}$. This wave equation is form invariant under the $Cl_3^*$ group generalizing the relativistic invariance. It is gauge invariant under the $U(1)\times SU(2) \times SU(3)$ group of the standard model of quantum physics. The wave is a function of space and time with value in the Clifford algebra $Cl_{1,5}$. All features of the standard model, charge conjugation, color, left waves, Lagrangian formalism, are linked to the geometry of this extended space-time. |
0812.0792 | Francesco Nitti | U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti | Holography and Thermodynamics of 5D Dilaton-gravity | LaTeX, 61 pages (main body) + 58 pages (appendix), 25 eps figures.
Revised version, published in JHEP. Two equations added in Section 7.4; typos
corrected; references added | JHEP 0905:033,2009 | 10.1088/1126-6708/2009/05/033 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The asymptotically-logarithmically-AdS black-hole solutions of 5D dilaton
gravity with a monotonic dilaton potential are analyzed in detail. Such
theories are holographically very close to pure Yang-Mills theory in four
dimensions. The existence and uniqueness of black-hole solutions is shown. It
is also shown that a Hawking-Page transition exists at finite temperature if
and only if the potential corresponds to a confining theory. The physics of the
transition matches in detail with that of deconfinement of the Yang-Mills
theory. The high-temperature phase asymptotes to a free gluon gas at high
temperature matching the expected behavior from asymptotic freedom. The thermal
gluon condensate is calculated and shown to be crucial for the existence of a
non-trivial deconfining transition. The condensate of the topological charge is
shown to vanish in the deconfined phase.
| [
{
"created": "Wed, 3 Dec 2008 20:11:42 GMT",
"version": "v1"
},
{
"created": "Fri, 8 May 2009 21:54:12 GMT",
"version": "v2"
}
] | 2011-06-02 | [
[
"Gursoy",
"U.",
""
],
[
"Kiritsis",
"E.",
""
],
[
"Mazzanti",
"L.",
""
],
[
"Nitti",
"F.",
""
]
] | The asymptotically-logarithmically-AdS black-hole solutions of 5D dilaton gravity with a monotonic dilaton potential are analyzed in detail. Such theories are holographically very close to pure Yang-Mills theory in four dimensions. The existence and uniqueness of black-hole solutions is shown. It is also shown that a Hawking-Page transition exists at finite temperature if and only if the potential corresponds to a confining theory. The physics of the transition matches in detail with that of deconfinement of the Yang-Mills theory. The high-temperature phase asymptotes to a free gluon gas at high temperature matching the expected behavior from asymptotic freedom. The thermal gluon condensate is calculated and shown to be crucial for the existence of a non-trivial deconfining transition. The condensate of the topological charge is shown to vanish in the deconfined phase. |
hep-th/9505062 | Philip Argyres | Philip C. Argyres and Michael R. Douglas | New Phenomena in SU(3) Supersymmetric Gauge Theory | 40 pages and 11 figures in uuencoded file | Nucl.Phys. B448 (1995) 93-126 | 10.1016/0550-3213(95)00281-V | IASSNS-HEP-95/31, RU-95-28 | hep-th | null | We show that four-dimensional N=2 supersymmetric SU(n) gauge theory for n>2
necessarily contains vacua with mutually non-local massless dyons, using only
analyticity of the effective action and the weak coupling limit of the moduli
space of vacua. A specific example is the Z_3 point in the exact solution for
SU(3), and we study its effective Lagrangian. We propose that the low-energy
theory at this point is an N=2 superconformal U(1) gauge theory containing both
electrically and magnetically charged massless hypermultiplets.
| [
{
"created": "Wed, 10 May 1995 20:54:59 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Argyres",
"Philip C.",
""
],
[
"Douglas",
"Michael R.",
""
]
] | We show that four-dimensional N=2 supersymmetric SU(n) gauge theory for n>2 necessarily contains vacua with mutually non-local massless dyons, using only analyticity of the effective action and the weak coupling limit of the moduli space of vacua. A specific example is the Z_3 point in the exact solution for SU(3), and we study its effective Lagrangian. We propose that the low-energy theory at this point is an N=2 superconformal U(1) gauge theory containing both electrically and magnetically charged massless hypermultiplets. |
1211.0395 | Christian Saemann | Christian Saemann and Richard J. Szabo | Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds | 71 pages, v2: references added | Rev. Math. Phys. 25 (2013) 1330005 | 10.1142/S0129055X13300057 | EMPG-12-24; NI-12034-BSM | hep-th math-ph math.MP math.QA math.SG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the quantization of 2-plectic manifolds as they arise in the
context of the quantum geometry of M-branes and non-geometric flux
compactifications of closed string theory. We review the groupoid approach to
quantizing Poisson manifolds in detail, and then extend it to the loop spaces
of 2-plectic manifolds, which are naturally symplectic manifolds. In
particular, we discuss the groupoid quantization of the loop spaces of R^3, T^3
and S^3, and derive some interesting implications which match physical
expectations from string theory and M-theory.
| [
{
"created": "Fri, 2 Nov 2012 08:41:36 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Nov 2012 14:53:54 GMT",
"version": "v2"
}
] | 2013-08-26 | [
[
"Saemann",
"Christian",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theory. We review the groupoid approach to quantizing Poisson manifolds in detail, and then extend it to the loop spaces of 2-plectic manifolds, which are naturally symplectic manifolds. In particular, we discuss the groupoid quantization of the loop spaces of R^3, T^3 and S^3, and derive some interesting implications which match physical expectations from string theory and M-theory. |
0710.1391 | Jose Francisco Gomes | J.F. Gomes, L.H. Ymai and A.H. Zimerman | Integrablility of a Classical $N= 2$ Super Sinh-Gordon Model with Jump
Defects | typos corrected | JHEP 0803:001,2008 | 10.1088/1126-6708/2008/03/001 | null | hep-th | null | The Lagrangian formalism for the N=2 supersymmetric sinh-Gordon model with a
jump defect is considered. The modified conserved momentum and energy are
constructed in terms of border functions. The supersymmetric Backlund
transformation is given and an one-soliton solution is obtained.
The Lax formulation based on the affine super Lie algebra $sl(2,2)$ within
the space split by the defect leads to the integrability of the model and
henceforth to the existence of an infinite number of constants of motion.
| [
{
"created": "Mon, 8 Oct 2007 13:43:33 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Mar 2008 16:58:35 GMT",
"version": "v2"
}
] | 2009-06-19 | [
[
"Gomes",
"J. F.",
""
],
[
"Ymai",
"L. H.",
""
],
[
"Zimerman",
"A. H.",
""
]
] | The Lagrangian formalism for the N=2 supersymmetric sinh-Gordon model with a jump defect is considered. The modified conserved momentum and energy are constructed in terms of border functions. The supersymmetric Backlund transformation is given and an one-soliton solution is obtained. The Lax formulation based on the affine super Lie algebra $sl(2,2)$ within the space split by the defect leads to the integrability of the model and henceforth to the existence of an infinite number of constants of motion. |
0901.1194 | Adele Naddeo | Vincenzo Marotta, Adele Naddeo | Twisted Conformal Field Theories and Morita equivalence | 16 pages, 2 figures | Nucl.Phys.B810:575-590,2009 | 10.1016/j.nuclphysb.2008.10.016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Morita equivalence for field theories on noncommutative two-tori is
analysed in detail for rational values of the noncommutativity parameter theta
(in appropriate units): an isomorphism is established between an abelian
noncommutative field theory (NCFT) and a non-abelian theory of twisted fields
on ordinary space. We focus on a particular conformal field theory (CFT), the
one obtained by means of the m-reduction procedure (V. Marotta, J. Phys. A 26
(1993) 3481; V. Marotta, Mod. Phys. Lett. A 13} (1998) 853; V. Marotta, Nucl.
Phys. B 527 (1998) 717; V. Marotta, A. Sciarrino, Mod. Phys. Lett. A 13 (1998)
2863), and show that it is the Morita equivalent of a NCFT. Finally, the whole
m-reduction procedure is shown to be the image in the ordinary space of the
Morita duality. An application to the physics of a quantum Hall fluid at Jain
fillings nu =m/2pm+1 is explicitly discussed in order to further elucidate such
a correspondence and to clarify its role in the physics of strongly correlated
systems. A new picture emerges, which is very different from the existing
relationships between noncommutativity and many body systems (A. P.
Polychronakos, arXiv:0706.1095v2).
| [
{
"created": "Fri, 9 Jan 2009 09:26:11 GMT",
"version": "v1"
}
] | 2009-03-12 | [
[
"Marotta",
"Vincenzo",
""
],
[
"Naddeo",
"Adele",
""
]
] | The Morita equivalence for field theories on noncommutative two-tori is analysed in detail for rational values of the noncommutativity parameter theta (in appropriate units): an isomorphism is established between an abelian noncommutative field theory (NCFT) and a non-abelian theory of twisted fields on ordinary space. We focus on a particular conformal field theory (CFT), the one obtained by means of the m-reduction procedure (V. Marotta, J. Phys. A 26 (1993) 3481; V. Marotta, Mod. Phys. Lett. A 13} (1998) 853; V. Marotta, Nucl. Phys. B 527 (1998) 717; V. Marotta, A. Sciarrino, Mod. Phys. Lett. A 13 (1998) 2863), and show that it is the Morita equivalent of a NCFT. Finally, the whole m-reduction procedure is shown to be the image in the ordinary space of the Morita duality. An application to the physics of a quantum Hall fluid at Jain fillings nu =m/2pm+1 is explicitly discussed in order to further elucidate such a correspondence and to clarify its role in the physics of strongly correlated systems. A new picture emerges, which is very different from the existing relationships between noncommutativity and many body systems (A. P. Polychronakos, arXiv:0706.1095v2). |
1611.10300 | Per Berglund | Per Berglund, Tristan Hubsch | A Generalized Construction of Calabi-Yau Models and Mirror Symmetry | 29 pages, 6 figures. Typos corrected, references added,
clarifications and an expanded appendix A following the comments by the
referees (v.3) | SciPost Phys. 4, 009 (2018) | 10.21468/SciPostPhys.4.2.009 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the construction of Calabi-Yau manifolds to hypersurfaces in
non-Fano toric varieties, requiring the use of certain Laurent defining
polynomials, and explore the phases of the corresponding gauged linear sigma
models. The associated non-reflexive and non-convex polytopes provide a
generalization of Batyrev's original work, allowing us to construct novel pairs
of mirror models. We showcase our proposal for this generalization by examining
Calabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences,
and outline the more general class of so-defined geometries.
| [
{
"created": "Wed, 30 Nov 2016 18:43:10 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2017 14:46:45 GMT",
"version": "v2"
},
{
"created": "Mon, 20 Nov 2017 21:35:38 GMT",
"version": "v3"
}
] | 2018-04-20 | [
[
"Berglund",
"Per",
""
],
[
"Hubsch",
"Tristan",
""
]
] | We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring the use of certain Laurent defining polynomials, and explore the phases of the corresponding gauged linear sigma models. The associated non-reflexive and non-convex polytopes provide a generalization of Batyrev's original work, allowing us to construct novel pairs of mirror models. We showcase our proposal for this generalization by examining Calabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences, and outline the more general class of so-defined geometries. |
hep-th/9506005 | Juergen Fuchs | J. Fuchs | The singularity structure of the Yang-Mills configuration space | 13 pages, latex. Invited talk at the Workshop on Quantum and
Classical Gauge Theory, Banach Center, Warsaw, May 1995 | Banach Center Publications 30 (1995) 287-300 | null | NIKHEF 95-026 | hep-th | null | The geometric description of Yang-Mills theories and their configuration
space M is reviewed. The presence of singularities in M is explained and some
of their properties are described. The singularity structure is analyzed in
detail for structure group SU(2).
| [
{
"created": "Thu, 1 Jun 1995 11:08:17 GMT",
"version": "v1"
}
] | 2020-10-08 | [
[
"Fuchs",
"J.",
""
]
] | The geometric description of Yang-Mills theories and their configuration space M is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analyzed in detail for structure group SU(2). |
hep-th/0006077 | Tonnis ter Veldhuis | R. Hofmann and T. ter Veldhuis | BPS Saturated Domain Walls along a Compact Dimension | 28 pages, 6 figures | Phys.Rev. D63 (2001) 025017 | 10.1103/PhysRevD.63.025017 | TPI-MINN-00/29, UMN-TH-1909/00 | hep-th | null | Generalized Wess-Zumino models which admit topologically non-trivial BPS
saturated configurations along one compact, spatial dimension are investigated
in various dimensions of space-time. We show that, in a representative model
and for sufficiently large circumference, there are BPS configurations along
the compact dimension containing an arbitrary number of equidistant,
well-separated domain walls. We analyze the spectrum of the bosonic and
fermionic light and massless modes that are localized on these walls. The
masses of the light modes are exponentially suppressed by the ratio of the
distance between the walls and their width. States that are initially localized
on one wall oscillate in time between all the walls. In (2+1) dimensions the
``chirality'' of localized, massless fermions is determined. In the
(1+1)-dimensional case we show how the mass of certain classically BPS
saturated solitons is lifted above the BPS bound by instanton tunneling.
| [
{
"created": "Sun, 11 Jun 2000 18:45:09 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2000 18:51:11 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Dec 2000 23:19:10 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Hofmann",
"R.",
""
],
[
"ter Veldhuis",
"T.",
""
]
] | Generalized Wess-Zumino models which admit topologically non-trivial BPS saturated configurations along one compact, spatial dimension are investigated in various dimensions of space-time. We show that, in a representative model and for sufficiently large circumference, there are BPS configurations along the compact dimension containing an arbitrary number of equidistant, well-separated domain walls. We analyze the spectrum of the bosonic and fermionic light and massless modes that are localized on these walls. The masses of the light modes are exponentially suppressed by the ratio of the distance between the walls and their width. States that are initially localized on one wall oscillate in time between all the walls. In (2+1) dimensions the ``chirality'' of localized, massless fermions is determined. In the (1+1)-dimensional case we show how the mass of certain classically BPS saturated solitons is lifted above the BPS bound by instanton tunneling. |
hep-th/9305162 | Lev Vaidman | Lev Vaidman | Lorentz-Invariant "Elements of Reality" and the Question of Joint
Measurability of Commuting Observables | 15 pages | null | 10.1103/PhysRevLett.70.3369 | TAUP 2027-93 | hep-th | null | It is shown that the joint measurements of some physical variables
corresponding to commuting operators performed on pre- and post-selected
quantum systems invariably disturb each other. The significance of this result
for recent proofs of the impossibility of realistic Lorentz invariant
interpretation of quantum theory (without assumption of locality) is discussed.
| [
{
"created": "Fri, 28 May 1993 14:32:30 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Vaidman",
"Lev",
""
]
] | It is shown that the joint measurements of some physical variables corresponding to commuting operators performed on pre- and post-selected quantum systems invariably disturb each other. The significance of this result for recent proofs of the impossibility of realistic Lorentz invariant interpretation of quantum theory (without assumption of locality) is discussed. |
hep-th/0401134 | Jean Dominique Laenge | A. Kirchberg, J.D. Laenge and A. Wipf | Extended Supersymmetries and the Dirac Operator | 22 pages, no figures | Annals Phys. 315 (2005) 467-487 | 10.1016/j.aop.2004.08.006 | null | hep-th | null | We consider supersymmetric quantum mechanical systems in arbitrary dimensions
on curved spaces with nontrivial gauge fields. The square of the Dirac operator
serves as Hamiltonian. We derive a relation between the number of supercharges
that exist and restrictions on the geometry of the underlying spaces as well as
the admissible gauge field configurations. From the superalgebra with two or
more real supercharges we infer the existence of integrability conditions and
obtain a corresponding superpotential. This potential can be used to deform the
supercharges and to determine zero modes of the Dirac operator. The general
results are applied to the Kahler spaces CP^n.
| [
{
"created": "Tue, 20 Jan 2004 16:12:36 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2005 18:18:26 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kirchberg",
"A.",
""
],
[
"Laenge",
"J. D.",
""
],
[
"Wipf",
"A.",
""
]
] | We consider supersymmetric quantum mechanical systems in arbitrary dimensions on curved spaces with nontrivial gauge fields. The square of the Dirac operator serves as Hamiltonian. We derive a relation between the number of supercharges that exist and restrictions on the geometry of the underlying spaces as well as the admissible gauge field configurations. From the superalgebra with two or more real supercharges we infer the existence of integrability conditions and obtain a corresponding superpotential. This potential can be used to deform the supercharges and to determine zero modes of the Dirac operator. The general results are applied to the Kahler spaces CP^n. |
0910.5153 | Mohamed Bennai | R. Zarrouki, Z. Sakhi and M. Bennai | WMAP5 Observationnal Constraints on Braneworld New Inflation Model | 10 PDF pages, 5 figures, accepted in the International Journal of
Modern Physics A.(2009) | Int.J.Mod.Phys.A25:171-183,2010 | 10.1142/S0217751X10047956 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a new inflation potential in the framework of the Randall-Sundrum
type 2 Braneworld model. Using the technic developped in(Phys. Rev. D75, 123504
(2007).1), we consider both an monomial and a new inflation potentials and
apply the Slow-Roll approximation in high energy limit, to derive analytical
expression of relevant perturabtion spectrum. We show that for some values of
the parameter n of the potential, we obtain an perturbation spectrum wich
present a good agreement with recent WMAP5 observations.
| [
{
"created": "Tue, 27 Oct 2009 15:55:15 GMT",
"version": "v1"
}
] | 2010-02-02 | [
[
"Zarrouki",
"R.",
""
],
[
"Sakhi",
"Z.",
""
],
[
"Bennai",
"M.",
""
]
] | We study a new inflation potential in the framework of the Randall-Sundrum type 2 Braneworld model. Using the technic developped in(Phys. Rev. D75, 123504 (2007).1), we consider both an monomial and a new inflation potentials and apply the Slow-Roll approximation in high energy limit, to derive analytical expression of relevant perturabtion spectrum. We show that for some values of the parameter n of the potential, we obtain an perturbation spectrum wich present a good agreement with recent WMAP5 observations. |
1812.08137 | Dimitri Colferai Dr | Marcello Ciafaloni, Dimitri Colferai and Gabriele Veneziano | Infrared features of gravitational scattering and radiation in the
eikonal approach | 24 pages, 7 figures; in v2 added 1 figure and several comments | Phys. Rev. D 99, 066008 (2019) | 10.1103/PhysRevD.99.066008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Following a semi-classical eikonal approach --- justified at transplanckian
energies order by order in the deflection angle
$\Theta_s\sim\frac{4G\sqrt{s}}{b} \equiv \frac{2 R}{b}$ --- we investigate the
infrared features of gravitational scattering and radiation in four space-time
dimensions, and we illustrate the factorization and cancellation of the
infinite Coulomb phase for scattering and the eikonal resummation for
radiation. As a consequence, both the eikonal phase $2\delta(E,b)$ and the
gravitational-wave (GW) spectrum $\frac{\mathrm{d}E^{GW}}{\mathrm{d}\omega}$
are free from infrared problems in a frequency region extending from zero to
(and possibly beyond) $\omega =1/R$. The infrared-singular behavior of $4$-D
gravity leaves a memory in the deep infrared region ($\omega R \ll \omega b <
1$) of the spectrum. At $\mathcal{O}(\omega b)$ we confirm the presence of
logarithmic enhancements of the form already pointed out by Sen and
collaborators on the basis of non leading corrections to soft-graviton
theorems. These, however, do not contribute to the unpolarized and/or
azimuthally-averaged flux. At $\mathcal{O}(\omega^2 b^2)$ we find instead a
positive logarithmically-enhanced correction to the total flux implying an
unexpected maximum of its spectrum at $\omega b \sim 0.5$. At higher orders we
find subleading enhanced contributions as well, which can be resummed, and have
the interpretation of a finite rescattering Coulomb phase of emitted gravitons.
| [
{
"created": "Wed, 19 Dec 2018 18:24:37 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2019 19:23:20 GMT",
"version": "v2"
}
] | 2019-03-27 | [
[
"Ciafaloni",
"Marcello",
""
],
[
"Colferai",
"Dimitri",
""
],
[
"Veneziano",
"Gabriele",
""
]
] | Following a semi-classical eikonal approach --- justified at transplanckian energies order by order in the deflection angle $\Theta_s\sim\frac{4G\sqrt{s}}{b} \equiv \frac{2 R}{b}$ --- we investigate the infrared features of gravitational scattering and radiation in four space-time dimensions, and we illustrate the factorization and cancellation of the infinite Coulomb phase for scattering and the eikonal resummation for radiation. As a consequence, both the eikonal phase $2\delta(E,b)$ and the gravitational-wave (GW) spectrum $\frac{\mathrm{d}E^{GW}}{\mathrm{d}\omega}$ are free from infrared problems in a frequency region extending from zero to (and possibly beyond) $\omega =1/R$. The infrared-singular behavior of $4$-D gravity leaves a memory in the deep infrared region ($\omega R \ll \omega b < 1$) of the spectrum. At $\mathcal{O}(\omega b)$ we confirm the presence of logarithmic enhancements of the form already pointed out by Sen and collaborators on the basis of non leading corrections to soft-graviton theorems. These, however, do not contribute to the unpolarized and/or azimuthally-averaged flux. At $\mathcal{O}(\omega^2 b^2)$ we find instead a positive logarithmically-enhanced correction to the total flux implying an unexpected maximum of its spectrum at $\omega b \sim 0.5$. At higher orders we find subleading enhanced contributions as well, which can be resummed, and have the interpretation of a finite rescattering Coulomb phase of emitted gravitons. |
2003.05983 | Antonio Amariti | Antonio Amariti, Gianmarco Formigoni | A note on 4d N = 3 from little string theory | 12 pages, 4 figures | null | 10.1016/j.nuclphysb.2020.115108 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study little string theory (LST) compactified on $\mathbf{T}^2$, partially
breaking supersymmetry by a discrete T-duality twist acting on both the
K\"ahler and the complex structure of the torus. This setup gives raise to 4d
$\mathcal{N}=3$ models and it can be performed in both the type IIA and type
IIB LSTs. We comment on the relation with other constructions proposed in the
literature.
| [
{
"created": "Thu, 12 Mar 2020 19:21:49 GMT",
"version": "v1"
}
] | 2020-08-26 | [
[
"Amariti",
"Antonio",
""
],
[
"Formigoni",
"Gianmarco",
""
]
] | We study little string theory (LST) compactified on $\mathbf{T}^2$, partially breaking supersymmetry by a discrete T-duality twist acting on both the K\"ahler and the complex structure of the torus. This setup gives raise to 4d $\mathcal{N}=3$ models and it can be performed in both the type IIA and type IIB LSTs. We comment on the relation with other constructions proposed in the literature. |
hep-th/9606171 | Jose Emilio Maiorino | W.A. Rodrigues Jr. and J.-Y. Lu | On the Existence of Undistorted Progressive Waves (UPWs) of Arbitrary
Speeds $0 \leq v< \infty$ in Nature | 77 pages, Latex article, with figures. Includes corrections to the
published version | Foundations of Physics vol. 27, n.3, 435-508 (1997) | 10.1007/BF02550165 | RP12/96 | hep-th | null | We present the theory, the experimental evidence, and fundamental physical
consequences concerning the existence of families of undistorted progressive
waves (UPWs) of arbitrary speeds $0\leq v < \infty$, which are solutions of the
homogeneous wave equation, Maxwell equations, and Dirac and Weyl equations.
| [
{
"created": "Wed, 12 Jun 1996 07:00:33 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 1996 18:49:42 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Oct 1997 20:23:02 GMT",
"version": "v3"
},
{
"created": "Thu, 16 Oct 1997 13:18:40 GMT",
"version": "v4"
}
] | 2015-06-26 | [
[
"Rodrigues",
"W. A.",
"Jr."
],
[
"Lu",
"J. -Y.",
""
]
] | We present the theory, the experimental evidence, and fundamental physical consequences concerning the existence of families of undistorted progressive waves (UPWs) of arbitrary speeds $0\leq v < \infty$, which are solutions of the homogeneous wave equation, Maxwell equations, and Dirac and Weyl equations. |
2212.00808 | Tanmay Vachaspati | Tanmay Vachaspati | Electric strings in non-Abelian theories | 6 pages, 4 figures. v2: title changed; corrected error in parameter
range (solution only exists for $\lambda < g^2/4$) and revised discussion
accordingly; included explicit check of the solution in supplemental material | null | 10.1103/PhysRevD.107.L031903 | null | hep-th hep-lat hep-ph | http://creativecommons.org/licenses/by/4.0/ | We find electric string solutions in Yang-Mills-Higgs theory.
| [
{
"created": "Thu, 1 Dec 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jan 2023 23:34:55 GMT",
"version": "v2"
}
] | 2023-03-08 | [
[
"Vachaspati",
"Tanmay",
""
]
] | We find electric string solutions in Yang-Mills-Higgs theory. |
hep-th/0407247 | Jerzy Lukierski | J. Lukierski (Wroclaw), P.C. Stichel (Bielefeld) and W.J. Zakrzewski
(Durham) | N=2 Supersymmetric Planar Particles and Magnetic Interaction from
Noncommutativity | LaTeX,12 pages.Minor corrections; version appears in PLB | Phys.Lett.B602:249-254,2004 | 10.1016/j.physletb.2004.10.013 | null | hep-th | null | We describe a N=2 supersymmetric extension of the nonrelativistic
(2+1)-dimensional model describing particles on the noncommutative plane with
scalar (electric) and vector (magnetic) interactions.
First, we employ the N=2 superfield technique and show that in the presence
of a scalar N=2 superpotential the magnetic interaction is implied by the
presence of noncommutativity of position variables. Further, by expressing the
supersymmetric Hamiltonian as a bilinear in N=2 supercharges we obtain two
supersymmetric models with electromagnetic interactions and two different
noncanonical symplectic structures describing noncommutativity. We show that
both models are related by a map of the Seiberg-Witten type.
| [
{
"created": "Wed, 28 Jul 2004 11:02:30 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Sep 2004 10:24:26 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Oct 2004 14:36:02 GMT",
"version": "v3"
}
] | 2010-12-03 | [
[
"Lukierski",
"J.",
"",
"Wroclaw"
],
[
"Stichel",
"P. C.",
"",
"Bielefeld"
],
[
"Zakrzewski",
"W. J.",
"",
"Durham"
]
] | We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnetic) interactions. First, we employ the N=2 superfield technique and show that in the presence of a scalar N=2 superpotential the magnetic interaction is implied by the presence of noncommutativity of position variables. Further, by expressing the supersymmetric Hamiltonian as a bilinear in N=2 supercharges we obtain two supersymmetric models with electromagnetic interactions and two different noncanonical symplectic structures describing noncommutativity. We show that both models are related by a map of the Seiberg-Witten type. |
hep-th/0101137 | Stoil Donev | Stoil Donev | From Electromagnetic Duality to Extended Electrodynamics | 12 pages, Latex2e, continuation of hep-th/0006208 | Annales Fond.Broglie 29 (2004) 375-392 | null | null | hep-th | null | This paper presents the transition from Classical Electrodynamics (CED) to
Extended Electrodynamics (EED) from the electromagnetic duality point of view,
and emphasizes the role of the canonical complex structure in ${\cal R}^2$ in,
both, nonrelativistic and relativistic formulations of CED and EED. We begin
with summarizing the motivations for passing to EED, as well as we motivate and
outline the way to be followed in pursuing the right extension of Maxwell
equations. Further we give the nonrelativistic and relativistic approaches to
the extension and give explicitly the new equations as well as some properties
of the nonlinear vacuum solutions.
| [
{
"created": "Sat, 20 Jan 2001 08:59:49 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Donev",
"Stoil",
""
]
] | This paper presents the transition from Classical Electrodynamics (CED) to Extended Electrodynamics (EED) from the electromagnetic duality point of view, and emphasizes the role of the canonical complex structure in ${\cal R}^2$ in, both, nonrelativistic and relativistic formulations of CED and EED. We begin with summarizing the motivations for passing to EED, as well as we motivate and outline the way to be followed in pursuing the right extension of Maxwell equations. Further we give the nonrelativistic and relativistic approaches to the extension and give explicitly the new equations as well as some properties of the nonlinear vacuum solutions. |
1509.00048 | Wieland Staessens | Jill Ecker, Gabriele Honecker, Wieland Staessens | D6-Brane Model Building on Z(2)xZ(6): MSSM-like and Left-Right Symmetric
Models | 1+95 pages, 5 figures, 40 tables | null | 10.1016/j.nuclphysb.2015.10.009 | MITP/15-066, IFT-UAM/CSIC-15-094 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform a systematic search for globally defined MSSM-like and left-right
symmetric models on D6-branes on the T6/Z(2)xZ(6)xOR orientifold with discrete
torsion. Our search is exhaustive for models that are independent of the value
of the one free complex structure modulus. Preliminary investigations suggest
that there exists one prototype of visible sector for MSSM-like and another for
left-right symmetric models with differences arising from various hidden sector
completions to global models. For each prototype, we provide the full matter
spectrum, as well as the Yukawa and other three-point couplings needed to
render vector-like matter states massive. This provides us with tentative
explanations for the mass hierarchies within the quark and lepton sectors. We
also observe that the MSSM-like models correspond to explicit realisations of
the supersymmetric DFSZ axion model, and that the left-right symmetric models
allow for global completions with either completely decoupled hidden sectors or
with some messenger states charged under both visible and hidden gauge groups.
| [
{
"created": "Mon, 31 Aug 2015 20:26:15 GMT",
"version": "v1"
}
] | 2015-11-12 | [
[
"Ecker",
"Jill",
""
],
[
"Honecker",
"Gabriele",
""
],
[
"Staessens",
"Wieland",
""
]
] | We perform a systematic search for globally defined MSSM-like and left-right symmetric models on D6-branes on the T6/Z(2)xZ(6)xOR orientifold with discrete torsion. Our search is exhaustive for models that are independent of the value of the one free complex structure modulus. Preliminary investigations suggest that there exists one prototype of visible sector for MSSM-like and another for left-right symmetric models with differences arising from various hidden sector completions to global models. For each prototype, we provide the full matter spectrum, as well as the Yukawa and other three-point couplings needed to render vector-like matter states massive. This provides us with tentative explanations for the mass hierarchies within the quark and lepton sectors. We also observe that the MSSM-like models correspond to explicit realisations of the supersymmetric DFSZ axion model, and that the left-right symmetric models allow for global completions with either completely decoupled hidden sectors or with some messenger states charged under both visible and hidden gauge groups. |
1506.01366 | Veselin Filev | Veselin G. Filev and Denjoe O'Connor | The BFSS model on the lattice | 23 pages, 11 figures | JHEP 1605 (2016) 167 | 10.1007/JHEP05(2016)167 | DIAS-STP-15-09 | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the maximally supersymmetric BFSS model at finite temperature and
its bosonic relative. For the bosonic model in $p+1$ dimensions, we find that
it effectively reduces to a system of gauged Gaussian matrix models. The
effective model captures the low temperature regime of the model including one
of its two phase transitions. The mass becomes $p^{1/3}\lambda^{1/3}$ for large
$p$, with $\lambda$ the 'tHooft coupling. Simulations of the bosonic-BFSS model
with $p=9$ give $m=(1.965\pm .007)\lambda^{1/3}$, which is also the mass gap of
the Hamiltonian. We argue that there is no `sign' problem in the maximally
supersymmetric BFSS model and perform detailed simulations of several
observables finding excellent agreement with AdS/CFT predictions when
$1/\alpha'$ corrections are included.
| [
{
"created": "Wed, 3 Jun 2015 19:54:19 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Dec 2016 19:36:37 GMT",
"version": "v2"
}
] | 2017-01-03 | [
[
"Filev",
"Veselin G.",
""
],
[
"O'Connor",
"Denjoe",
""
]
] | We study the maximally supersymmetric BFSS model at finite temperature and its bosonic relative. For the bosonic model in $p+1$ dimensions, we find that it effectively reduces to a system of gauged Gaussian matrix models. The effective model captures the low temperature regime of the model including one of its two phase transitions. The mass becomes $p^{1/3}\lambda^{1/3}$ for large $p$, with $\lambda$ the 'tHooft coupling. Simulations of the bosonic-BFSS model with $p=9$ give $m=(1.965\pm .007)\lambda^{1/3}$, which is also the mass gap of the Hamiltonian. We argue that there is no `sign' problem in the maximally supersymmetric BFSS model and perform detailed simulations of several observables finding excellent agreement with AdS/CFT predictions when $1/\alpha'$ corrections are included. |
1809.10698 | Falko Dulat | Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo
Tancredi | Elliptic Feynman integrals and pure functions | 47 pages | null | 10.1007/JHEP01(2019)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a variant of elliptic multiple polylogarithms that have at most
logarithmic singularities in all variables and satisfy a differential equation
without homogeneous term. We investigate several non-trivial elliptic two-loop
Feynman integrals with up to three external legs and express them in terms of
our functions. We observe that in all cases they evaluate to pure combinations
of elliptic multiple polylogarithms of uniform weight. This is the first time
that a notion of uniform weight is observed in the context of Feynman integrals
that evaluate to elliptic polylogarithms.
| [
{
"created": "Thu, 27 Sep 2018 18:02:20 GMT",
"version": "v1"
}
] | 2019-01-30 | [
[
"Broedel",
"Johannes",
""
],
[
"Duhr",
"Claude",
""
],
[
"Dulat",
"Falko",
""
],
[
"Penante",
"Brenda",
""
],
[
"Tancredi",
"Lorenzo",
""
]
] | We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term. We investigate several non-trivial elliptic two-loop Feynman integrals with up to three external legs and express them in terms of our functions. We observe that in all cases they evaluate to pure combinations of elliptic multiple polylogarithms of uniform weight. This is the first time that a notion of uniform weight is observed in the context of Feynman integrals that evaluate to elliptic polylogarithms. |
2311.18137 | Norihiro Iizuka | Norihiro Iizuka, Mitsuhiro Nishida | Out-of-time-ordered correlators in the IP matrix model | 36 pages, 16 figures. v2: Fig. 8 - 13 replaced by more detailed
figures of numerical data. Fig 16 added | null | null | OU-HET-1208 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the out-of-time-ordered correlators (OTOCs) in the IP matrix model.
It was shown in arXiv:1602.06422 that OTOCs do not grow when the adjoint is
massless. We generalize the analysis of OTOCs to general nonzero masses $m > 0$
for the adjoint, where we give a new prescription for analytic continuation in
time such that we can evaluate OTOCs numerically using the retarded Green
function. Despite the fact that the behaviors of the two-point functions,
spectral density, and the Krylov complexity change drastically depending on
whether the adjoint is massless or not, in the parameter ranges we study, we do
not see the exponential growth of OTOCs for the massive adjoint cases. We end
with a discussion of the comparison of this model with the SYK model and
possible modification of the model.
| [
{
"created": "Wed, 29 Nov 2023 23:01:02 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2024 02:46:52 GMT",
"version": "v2"
}
] | 2024-03-27 | [
[
"Iizuka",
"Norihiro",
""
],
[
"Nishida",
"Mitsuhiro",
""
]
] | We study the out-of-time-ordered correlators (OTOCs) in the IP matrix model. It was shown in arXiv:1602.06422 that OTOCs do not grow when the adjoint is massless. We generalize the analysis of OTOCs to general nonzero masses $m > 0$ for the adjoint, where we give a new prescription for analytic continuation in time such that we can evaluate OTOCs numerically using the retarded Green function. Despite the fact that the behaviors of the two-point functions, spectral density, and the Krylov complexity change drastically depending on whether the adjoint is massless or not, in the parameter ranges we study, we do not see the exponential growth of OTOCs for the massive adjoint cases. We end with a discussion of the comparison of this model with the SYK model and possible modification of the model. |
hep-th/9904017 | Steven Gubser | D.Z. Freedman, S.S. Gubser, K. Pilch, and N.P. Warner | Renormalization Group Flows from Holography--Supersymmetry and a
c-Theorem | 56 pages, three figures, harvmac. v2: improved referencing, corrected
discussion of energy conditions. v3: one more reference fixed | Adv.Theor.Math.Phys.3:363-417,1999 | null | CERN-TH/99-86, HUTP-99/A015, USC-99/1, MIT-CTP-2846 | hep-th | null | We obtain first order equations that determine a supersymmetric kink solution
in five-dimensional N=8 gauged supergravity. The kink interpolates between an
exterior anti-de Sitter region with maximal supersymmetry and an interior
anti-de Sitter region with one quarter of the maximal supersymmetry. One eighth
of supersymmetry is preserved by the kink as a whole. We interpret it as
describing the renormalization group flow in N=4 super-Yang-Mills theory broken
to an N=1 theory by the addition of a mass term for one of the three adjoint
chiral superfields. A detailed correspondence is obtained between fields of
bulk supergravity in the interior anti-de Sitter region and composite operators
of the infrared field theory. We also point out that the truncation used to
find the reduced symmetry critical point can be extended to obtain a new N=4
gauged supergravity theory holographically dual to a sector of N=2 gauge
theories based on quiver diagrams.
We consider more general kink geometries and construct a c-function that is
positive and monotonic if a weak energy condition holds in the bulk gravity
theory. For even-dimensional boundaries, the c-function coincides with the
trace anomaly coefficients of the holographically related field theory in
limits where conformal invariance is recovered.
| [
{
"created": "Sat, 3 Apr 1999 00:44:58 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Apr 1999 22:22:35 GMT",
"version": "v2"
},
{
"created": "Fri, 7 May 1999 15:01:38 GMT",
"version": "v3"
}
] | 2009-10-08 | [
[
"Freedman",
"D. Z.",
""
],
[
"Gubser",
"S. S.",
""
],
[
"Pilch",
"K.",
""
],
[
"Warner",
"N. P.",
""
]
] | We obtain first order equations that determine a supersymmetric kink solution in five-dimensional N=8 gauged supergravity. The kink interpolates between an exterior anti-de Sitter region with maximal supersymmetry and an interior anti-de Sitter region with one quarter of the maximal supersymmetry. One eighth of supersymmetry is preserved by the kink as a whole. We interpret it as describing the renormalization group flow in N=4 super-Yang-Mills theory broken to an N=1 theory by the addition of a mass term for one of the three adjoint chiral superfields. A detailed correspondence is obtained between fields of bulk supergravity in the interior anti-de Sitter region and composite operators of the infrared field theory. We also point out that the truncation used to find the reduced symmetry critical point can be extended to obtain a new N=4 gauged supergravity theory holographically dual to a sector of N=2 gauge theories based on quiver diagrams. We consider more general kink geometries and construct a c-function that is positive and monotonic if a weak energy condition holds in the bulk gravity theory. For even-dimensional boundaries, the c-function coincides with the trace anomaly coefficients of the holographically related field theory in limits where conformal invariance is recovered. |
1112.3737 | Yun-Song Piao | Yun-Song Piao | Conformally Dual to Inflation | 10 pages, 1 figure, 1 table | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is showed by a conformal rescaling that the inflationary background can be
dual to a slowly expanding background, which is almost Minkowski and described
by a conformal field theory conformally coupled to gravity. It is proved that
the primordial curvature perturbation and tensor perturbation generated during
these two conformally equivalent backgrounds are completely equal, and the
scale invariance of perturbations is determined by the conformal invariance of
field theory in slowly expanding background. In dual slowly expanding scenario,
the primordial universe is asymptotical to a static state in infinite past. We
discuss the implication of the results obtained.
| [
{
"created": "Fri, 16 Dec 2011 08:51:55 GMT",
"version": "v1"
}
] | 2011-12-19 | [
[
"Piao",
"Yun-Song",
""
]
] | It is showed by a conformal rescaling that the inflationary background can be dual to a slowly expanding background, which is almost Minkowski and described by a conformal field theory conformally coupled to gravity. It is proved that the primordial curvature perturbation and tensor perturbation generated during these two conformally equivalent backgrounds are completely equal, and the scale invariance of perturbations is determined by the conformal invariance of field theory in slowly expanding background. In dual slowly expanding scenario, the primordial universe is asymptotical to a static state in infinite past. We discuss the implication of the results obtained. |
1706.09070 | Ross Altman | Ross Altman, Yang-Hui He, Vishnu Jejjala, Brent D. Nelson | New Large Volume Solutions | 36 pages, 2 figures, and 2 tables | Phys. Rev. D 97, 046003 (2018) | 10.1103/PhysRevD.97.046003 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous work, we have commenced the task of unpacking the $473,800,776$
reflexive polyhedra by Kreuzer and Skarke into a database of Calabi-Yau
threefolds (see http://www.rossealtman.com). In this paper, following a
pedagogical introduction, we present a new algorithm to isolate Swiss cheese
solutions characterized by "holes," or small 4-cycles, descending from the
toric divisors inherent to the original four dimensional reflexive polyhedra.
Implementing these methods, we find $2,268$ explicit Swiss cheese manifolds,
over half of which have $h^{1,1}=6$. Many of our solutions have multiple large
cycles. Such Swiss cheese geometries facilitate moduli stabilization in string
compactifications and provide flat directions for cosmological inflation.
| [
{
"created": "Tue, 27 Jun 2017 23:06:12 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Altman",
"Ross",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Jejjala",
"Vishnu",
""
],
[
"Nelson",
"Brent D.",
""
]
] | In previous work, we have commenced the task of unpacking the $473,800,776$ reflexive polyhedra by Kreuzer and Skarke into a database of Calabi-Yau threefolds (see http://www.rossealtman.com). In this paper, following a pedagogical introduction, we present a new algorithm to isolate Swiss cheese solutions characterized by "holes," or small 4-cycles, descending from the toric divisors inherent to the original four dimensional reflexive polyhedra. Implementing these methods, we find $2,268$ explicit Swiss cheese manifolds, over half of which have $h^{1,1}=6$. Many of our solutions have multiple large cycles. Such Swiss cheese geometries facilitate moduli stabilization in string compactifications and provide flat directions for cosmological inflation. |
1312.4013 | Diego Julio Cirilo-Lombardo | Diego Julio Cirilo-Lombardo and Victor D. Gershun | Integrable hydrodynamic chains for WZNW model | 10 pages, no figures, to appear in Physics of Particles and Nucleai
Letters (PEPAN) | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The new integrable hydrodynamic equations obtained for WZNW model with
$SU(2)$, $SO(3)$, $SP(2)$ and $SU(\infty )$ constant torsions
| [
{
"created": "Sat, 14 Dec 2013 07:24:09 GMT",
"version": "v1"
}
] | 2013-12-17 | [
[
"Cirilo-Lombardo",
"Diego Julio",
""
],
[
"Gershun",
"Victor D.",
""
]
] | The new integrable hydrodynamic equations obtained for WZNW model with $SU(2)$, $SO(3)$, $SP(2)$ and $SU(\infty )$ constant torsions |
1706.07428 | Edi Halyo | Edi Halyo | The Holographic Entanglement Entropy of Schwarzschild Black Holes | 25 pages, numerous small corrections and changes made | null | null | SU-ITP-17/08 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that Schwarzschild black hole metrics are, asymptotically, Weyl
equivalent to $AdS_2 \times S^{D-2}$ where the spherical factor is the horizon.
The holographic entanglement entropy of $AdS_2$ exactly reproduces the
Schwarzschild black hole entropy which implies that black hole degrees of
freedom live at asymptotic infinity. In generalized theories of gravity, the
same procedure reproduces Wald entropy.
| [
{
"created": "Thu, 22 Jun 2017 17:59:48 GMT",
"version": "v1"
},
{
"created": "Mon, 14 May 2018 17:07:16 GMT",
"version": "v2"
}
] | 2018-05-15 | [
[
"Halyo",
"Edi",
""
]
] | We show that Schwarzschild black hole metrics are, asymptotically, Weyl equivalent to $AdS_2 \times S^{D-2}$ where the spherical factor is the horizon. The holographic entanglement entropy of $AdS_2$ exactly reproduces the Schwarzschild black hole entropy which implies that black hole degrees of freedom live at asymptotic infinity. In generalized theories of gravity, the same procedure reproduces Wald entropy. |
1802.02775 | Neven Bili\'c | Neven Bili\'c | Aspects of braneworld cosmology and holography | 10 pages, 3 figures, based on talk delivered at IX Mathematical
Physics Meeting, Belgrade, 18-23 September 2017 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a holographic braneworld universe a cosmological fluid occupies a 3+1
dimensional brane located at the boundary of the asymptotic AdS$_5$ bulk. The
AdS/CFT correspondence and the second Randall-Sundrum model are combined to
establish a relationship between the RSII braneworld cosmology and the boundary
metric induced by the time dependent bulk geometry. Some physically interesting
scenarios are discussed in the framework of the Friedmann Robertson Walker
cosmology involving the RSII and holographic braneworlds.
| [
{
"created": "Thu, 8 Feb 2018 09:57:10 GMT",
"version": "v1"
}
] | 2018-02-09 | [
[
"Bilić",
"Neven",
""
]
] | In a holographic braneworld universe a cosmological fluid occupies a 3+1 dimensional brane located at the boundary of the asymptotic AdS$_5$ bulk. The AdS/CFT correspondence and the second Randall-Sundrum model are combined to establish a relationship between the RSII braneworld cosmology and the boundary metric induced by the time dependent bulk geometry. Some physically interesting scenarios are discussed in the framework of the Friedmann Robertson Walker cosmology involving the RSII and holographic braneworlds. |
1606.07879 | Yuichi Ohara | Yuichi Ohara | Self-interacting charged massive spin two particles in Minkowski
spacetime | 7 pages, no figure, published version | Phys. Rev. D 94, 083004 (2016) | 10.1103/PhysRevD.94.083004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A model of the self-interacting charged massive spin-two field is
constructed. We investigate several properties of the model and find that the
trivial vacuum is only allowed due to the internal symmetry. This suggests that
the Higgs mechanism might not be induced by the model of the massive spin-two
field with the ghost-free potential.
| [
{
"created": "Sat, 25 Jun 2016 07:59:59 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Oct 2016 05:31:29 GMT",
"version": "v2"
}
] | 2016-10-12 | [
[
"Ohara",
"Yuichi",
""
]
] | A model of the self-interacting charged massive spin-two field is constructed. We investigate several properties of the model and find that the trivial vacuum is only allowed due to the internal symmetry. This suggests that the Higgs mechanism might not be induced by the model of the massive spin-two field with the ghost-free potential. |
1007.0017 | Linda Carpenter | Linda M. Carpenter | Dirac Gauginos, Negative Supertraces and Gauge Mediation | 16 pages 3 figures | null | 10.1007/JHEP09(2012)102 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In an attempt to maximize General Gauge Mediated parameter space, I propose
simple models in which gauginos and scalars are generated from disconnected
mechanisms. In my models Dirac gauginos are generated through the supersoft
mechanism, while independent R-symmetric scalar masses are generated through
operators involving non-zero messenger supertrace. I propose several new
methods for generating negative messenger supertraces which result in viable
positive mass squareds for MSSM scalars. The resultant spectra are novel,
compressed and may contain light fermionic SM adjoint fields.
| [
{
"created": "Wed, 30 Jun 2010 20:06:50 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Jul 2012 01:03:23 GMT",
"version": "v2"
}
] | 2015-05-19 | [
[
"Carpenter",
"Linda M.",
""
]
] | In an attempt to maximize General Gauge Mediated parameter space, I propose simple models in which gauginos and scalars are generated from disconnected mechanisms. In my models Dirac gauginos are generated through the supersoft mechanism, while independent R-symmetric scalar masses are generated through operators involving non-zero messenger supertrace. I propose several new methods for generating negative messenger supertraces which result in viable positive mass squareds for MSSM scalars. The resultant spectra are novel, compressed and may contain light fermionic SM adjoint fields. |
2210.12684 | Miguel Sabido | A. Crespo-Hern\'andez, E. A. Mena-Barboza and M. Sabido | Noncommutative SUSY Black Holes | 11 pages, no figures. Accepted for publication in IJMPD | null | 10.1142/S0218271822501279 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we propose a generalization to the Schwarzschild metric and
define noncommutative SUSY black holes. We introduce the noncommutative
deformation to the minisuperspace variables and derive the noncommutative
supersymmetric (SUSY) Wheeler-DeWitt (WDW) equation for the Schwarzschild black
hole. We calculate the metric and find that the singularities are not removed.
| [
{
"created": "Sun, 23 Oct 2022 10:13:31 GMT",
"version": "v1"
}
] | 2023-01-25 | [
[
"Crespo-Hernández",
"A.",
""
],
[
"Mena-Barboza",
"E. A.",
""
],
[
"Sabido",
"M.",
""
]
] | In this paper we propose a generalization to the Schwarzschild metric and define noncommutative SUSY black holes. We introduce the noncommutative deformation to the minisuperspace variables and derive the noncommutative supersymmetric (SUSY) Wheeler-DeWitt (WDW) equation for the Schwarzschild black hole. We calculate the metric and find that the singularities are not removed. |
2002.10488 | Junya Yagi | Nafiz Ishtiaque and Junya Yagi | Disk, interval, point: on constructions of quantum field theories with
holomorphic action functionals | 58 pages. v2: minor changes and improvements made; references added.
v3: minor changes. published version | JHEP 06 (2020) 180 | 10.1007/JHEP06(2020)180 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bosonic quantum field theories with holomorphic action functionals are
realized by two types of constructions involving supersymmetric quantum field
theories, compactified on an interval in one type and compactified on a disk
and deformed in the other. We establish the equivalence between the two types
of constructions by reducing the disk to the interval and the interval to a
point. As examples, we discuss constructions of zero-dimensional gauged sigma
model, gauged quantum mechanics, gauged symplectic bosons in two dimensions,
and Chern-Simons theory and its higher-dimensional variants.
| [
{
"created": "Mon, 24 Feb 2020 19:09:54 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Mar 2020 23:53:14 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 2020 14:45:51 GMT",
"version": "v3"
}
] | 2020-07-02 | [
[
"Ishtiaque",
"Nafiz",
""
],
[
"Yagi",
"Junya",
""
]
] | Bosonic quantum field theories with holomorphic action functionals are realized by two types of constructions involving supersymmetric quantum field theories, compactified on an interval in one type and compactified on a disk and deformed in the other. We establish the equivalence between the two types of constructions by reducing the disk to the interval and the interval to a point. As examples, we discuss constructions of zero-dimensional gauged sigma model, gauged quantum mechanics, gauged symplectic bosons in two dimensions, and Chern-Simons theory and its higher-dimensional variants. |
hep-th/9907032 | Ram Brustein | Ram Brustein, Stefano Foffa, Riccardo Sturani | Generalized Second Law in String Cosmology | 11 pages, 3 figures | Phys.Lett. B471 (2000) 352-357 | 10.1016/S0370-2693(99)01347-7 | IFUP-TH 30/99 | hep-th gr-qc | null | A generalized second law in string cosmology accounts for geometric and
quantum entropy in addition to ordinary sources of entropy. The proposed
generalized second law forbids singular string cosmologies, under certain
conditions, and forces a graceful exit transition from dilaton-driven inflation
by bounding curvature and dilaton kinetic energy.
| [
{
"created": "Tue, 6 Jul 1999 19:42:33 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Brustein",
"Ram",
""
],
[
"Foffa",
"Stefano",
""
],
[
"Sturani",
"Riccardo",
""
]
] | A generalized second law in string cosmology accounts for geometric and quantum entropy in addition to ordinary sources of entropy. The proposed generalized second law forbids singular string cosmologies, under certain conditions, and forces a graceful exit transition from dilaton-driven inflation by bounding curvature and dilaton kinetic energy. |
0912.0903 | Shin Sasaki | Shin Sasaki | On Non-linear Action for Gauged M2-brane | 19 pages, no figure, references added, typos corrected | JHEP 1002:039,2010 | 10.1007/JHEP02(2010)039 | TIT/HEP-599 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model
including T_{M2} (higher derivative) corrections. The action proposed here is
expected to describe a single M2-brane proving C^4/Z_k target space. The model
includes couplings with the 3-form background in the eleven-dimensional
supergravity which is consistent with the orbifold projection. We show that the
novel higgs mechanism proposed by Mukhi and Papageorgakis does work even in the
presence of higher derivative corrections and couplings with the background
field, giving the correct structure of the Dirac-Born-Infeld action with
Wess-Zumino term for a D2-brane. We also find half BPS solutions in the full
non-linear theory which is interpreted as an another M2-brane intersecting with
the original M2-brane. A possible generalization to U(N) \times U(N) gauge
group is briefly discussed.
| [
{
"created": "Fri, 4 Dec 2009 17:21:30 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 2009 10:01:48 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Feb 2010 07:22:46 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Mar 2010 06:15:29 GMT",
"version": "v4"
}
] | 2015-05-14 | [
[
"Sasaki",
"Shin",
""
]
] | We propose a non-linear extension of U(1) \times U(1) (abelian) ABJM model including T_{M2} (higher derivative) corrections. The action proposed here is expected to describe a single M2-brane proving C^4/Z_k target space. The model includes couplings with the 3-form background in the eleven-dimensional supergravity which is consistent with the orbifold projection. We show that the novel higgs mechanism proposed by Mukhi and Papageorgakis does work even in the presence of higher derivative corrections and couplings with the background field, giving the correct structure of the Dirac-Born-Infeld action with Wess-Zumino term for a D2-brane. We also find half BPS solutions in the full non-linear theory which is interpreted as an another M2-brane intersecting with the original M2-brane. A possible generalization to U(N) \times U(N) gauge group is briefly discussed. |
1804.01970 | Mikhail Volkov | Charles Mazuet and Mikhail S. Volkov | Massive spin-2 field in arbitrary spacetimes -- the detailed derivation | 36 pages | null | 10.1088/1475-7516/2018/07/012 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the consistent theory of a free massive spin-2 field with 5
degrees of freedom propagating in spacetimes with an arbitrary geometry. We
obtain this theory via linearizing the equations of the ghost-free massive
gravity expressed in the tetrad formalism. The theory is parameterized by a
non-symmetric rank-2 tensor whose 16 components fulfill 11 constraints implied
by the equations. When restricted to Einstein spaces, the theory reproduces the
standard description of massive gravitons. In generic spacetimes, the theory
does not show the massless limit and always propagates five degrees of freedom,
even for the vanishing mass parameter. We illustrate these features by an
explicit calculation for a homogeneous and isotropic cosmological background.
It turns out that the spin-2 particles are always stable if they are
sufficiently massive, hence they may be a part of the Dark Mater.
| [
{
"created": "Thu, 5 Apr 2018 17:43:20 GMT",
"version": "v1"
}
] | 2018-07-18 | [
[
"Mazuet",
"Charles",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] | We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed in the tetrad formalism. The theory is parameterized by a non-symmetric rank-2 tensor whose 16 components fulfill 11 constraints implied by the equations. When restricted to Einstein spaces, the theory reproduces the standard description of massive gravitons. In generic spacetimes, the theory does not show the massless limit and always propagates five degrees of freedom, even for the vanishing mass parameter. We illustrate these features by an explicit calculation for a homogeneous and isotropic cosmological background. It turns out that the spin-2 particles are always stable if they are sufficiently massive, hence they may be a part of the Dark Mater. |
hep-th/0703199 | Haba Zbigniew | Z.Haba | A relationship between scalar Green functions on hyperbolic and
Euclidean Rindler spaces | more on analytic continuation,references added, the version to appear
in Journ.Phys.A | J.Phys.A40:8535-8544,2007 | 10.1088/1751-8113/40/29/023 | null | hep-th gr-qc | null | We derive a formula connecting in any dimension the Green function on the D+1
dimensional Euclidean Rindler space and the one for a minimally coupled scalar
field with a mass m in the D dimensional hyperbolic space. The relation takes a
simple form in the momentum space where the Green functions are equal at the
momenta (p_0,\bf p) for Rindler and (m,\bf p) for hyperbolic space with a
simple additive relation between the squares of the mass and the momenta. The
formula has applications to finite temperature Green functions, Green functions
on the cone and on the 9compactified) Milne space-time. Analytic continuations
and interacting quantum fields are briefly discussed.
| [
{
"created": "Thu, 22 Mar 2007 13:31:34 GMT",
"version": "v1"
},
{
"created": "Wed, 30 May 2007 12:11:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Haba",
"Z.",
""
]
] | We derive a formula connecting in any dimension the Green function on the D+1 dimensional Euclidean Rindler space and the one for a minimally coupled scalar field with a mass m in the D dimensional hyperbolic space. The relation takes a simple form in the momentum space where the Green functions are equal at the momenta (p_0,\bf p) for Rindler and (m,\bf p) for hyperbolic space with a simple additive relation between the squares of the mass and the momenta. The formula has applications to finite temperature Green functions, Green functions on the cone and on the 9compactified) Milne space-time. Analytic continuations and interacting quantum fields are briefly discussed. |
1305.0279 | Kazuya Koyama | Kazuya Koyama (ICG, Portsmouth), Gustavo Niz, Gianmassimo Tasinato | Effective theory for the Vainshtein mechanism from the Horndeski action | 6 pages, matches version published by PRD, references added | null | 10.1103/PhysRevD.88.021502 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting from the general Horndeski action, we derive the most general
effective theory for scalar perturbations around flat space that allows us to
screen fifth forces via the Vainshtein mechanism. The effective theory is
described by a generalization of the Galileon Lagrangian, which we use to study
the stability of spherically symmetric configurations exhibiting the Vainshtein
effect. In particular, we discuss the phenomenological consequences of a
scalar-tensor coupling that is absent in the standard Galileon Lagrangian. This
coupling controls the superluminality and stability of fluctuations inside the
Vainshtein radius in a way that depends on the density profile of a matter
source. Particularly we find that the vacuum solution is unstable due to this
coupling.
| [
{
"created": "Wed, 1 May 2013 20:08:42 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jun 2013 20:01:49 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jun 2013 15:40:30 GMT",
"version": "v3"
}
] | 2013-08-09 | [
[
"Koyama",
"Kazuya",
"",
"ICG, Portsmouth"
],
[
"Niz",
"Gustavo",
""
],
[
"Tasinato",
"Gianmassimo",
""
]
] | Starting from the general Horndeski action, we derive the most general effective theory for scalar perturbations around flat space that allows us to screen fifth forces via the Vainshtein mechanism. The effective theory is described by a generalization of the Galileon Lagrangian, which we use to study the stability of spherically symmetric configurations exhibiting the Vainshtein effect. In particular, we discuss the phenomenological consequences of a scalar-tensor coupling that is absent in the standard Galileon Lagrangian. This coupling controls the superluminality and stability of fluctuations inside the Vainshtein radius in a way that depends on the density profile of a matter source. Particularly we find that the vacuum solution is unstable due to this coupling. |
hep-th/0311042 | Surya Ganguli | Surya Ganguli, Ori J. Ganor and James A. Gill | Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and
Integrable Systems | 32 pages | JHEP0409:014,2004 | 10.1088/1126-6708/2004/09/014 | UCB-PTH-03/30, LBNL-53980 | hep-th | null | We use the Dijkgraaf-Vafa technique to study massive vacua of 6D SU(N) SYM
theories on tori with R-symmetry twists. One finds a matrix model living on the
compactification torus with a genus 2 spectral curve. The Jacobian of this
curve is closely related to a twisted four torus T in which the Seiberg-Witten
curves of the theory are embedded. We also analyze R-symmetry twists in a
bundle with nontrivial first Chern class which yields intrinsically 6D SUSY
breaking and a novel matrix integral whose eigenvalues float in a sea of
background charge. Next we analyze the underlying integrable system of the
theory, whose phase space we show to be a system of N-1 points on $T$. We write
down an explicit set of Poisson commuting Hamiltonians for this system for
arbitrary N and use them to prove that equilibrium configurations with respect
to all Hamiltonians correspond to points in moduli space where the
Seiberg-Witten curve maximally degenerates to genus 2, thereby recovering the
matrix model spectral curve. We also write down a conjecture for a dual set of
Poisson commuting variables which could shed light on a particle-like
interpretation of the system.
| [
{
"created": "Wed, 5 Nov 2003 20:39:18 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2004 00:10:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ganguli",
"Surya",
""
],
[
"Ganor",
"Ori J.",
""
],
[
"Gill",
"James A.",
""
]
] | We use the Dijkgraaf-Vafa technique to study massive vacua of 6D SU(N) SYM theories on tori with R-symmetry twists. One finds a matrix model living on the compactification torus with a genus 2 spectral curve. The Jacobian of this curve is closely related to a twisted four torus T in which the Seiberg-Witten curves of the theory are embedded. We also analyze R-symmetry twists in a bundle with nontrivial first Chern class which yields intrinsically 6D SUSY breaking and a novel matrix integral whose eigenvalues float in a sea of background charge. Next we analyze the underlying integrable system of the theory, whose phase space we show to be a system of N-1 points on $T$. We write down an explicit set of Poisson commuting Hamiltonians for this system for arbitrary N and use them to prove that equilibrium configurations with respect to all Hamiltonians correspond to points in moduli space where the Seiberg-Witten curve maximally degenerates to genus 2, thereby recovering the matrix model spectral curve. We also write down a conjecture for a dual set of Poisson commuting variables which could shed light on a particle-like interpretation of the system. |
1010.5777 | Daniel Are\'an | Daniel Arean, Matteo Bertolini, Chethan Krishnan, Tomas Prochazka | Type IIB Holographic Superfluid Flows | v3: Published version. Figures 5 and 6 corrected. 24 pages, 7 figures | JHEP 1103:008,2011 | 10.1007/JHEP03(2011)008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct fully backreacted holographic superfluid flow solutions in a
five-dimensional theory that arises as a consistent truncation of low energy
type IIB string theory. We construct a black hole with scalar and vector hair
in this theory, and study the phase diagram. As expected, the superfluid phase
ceases to exist for high enough superfluid velocity, but we show that the phase
transition between normal and superfluid phases is always second order. We also
analyze the zero temperature limit of these solutions. Interestingly, we find
evidence that the emergent IR conformal symmetry of the zero-temperature domain
wall is broken at high enough velocity.
| [
{
"created": "Wed, 27 Oct 2010 19:52:25 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2010 22:45:36 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Apr 2011 09:45:26 GMT",
"version": "v3"
}
] | 2015-03-17 | [
[
"Arean",
"Daniel",
""
],
[
"Bertolini",
"Matteo",
""
],
[
"Krishnan",
"Chethan",
""
],
[
"Prochazka",
"Tomas",
""
]
] | We construct fully backreacted holographic superfluid flow solutions in a five-dimensional theory that arises as a consistent truncation of low energy type IIB string theory. We construct a black hole with scalar and vector hair in this theory, and study the phase diagram. As expected, the superfluid phase ceases to exist for high enough superfluid velocity, but we show that the phase transition between normal and superfluid phases is always second order. We also analyze the zero temperature limit of these solutions. Interestingly, we find evidence that the emergent IR conformal symmetry of the zero-temperature domain wall is broken at high enough velocity. |
hep-th/9710220 | Luka Sustersic | Marijan Ribaric and Luka Sustersic (Jozef Stefan Institute, Ljubljana,
Slovenia) | Transport-theoretic Extensions of Quantum Field Theories | 36 pages, no pictures, plain TeX | null | null | null | hep-th | null | We propose a new, transport-theoretic (tt) class of relativistic extensions
of quantum field theories of fundamental interactions. Its concepts are
inspired by Feynman's atomistic idea about the physical world and by the
extension of fluid dynamics to shorter distances through the Boltzmann
transport equation. The extending tt Lagrangians imply the original Lagrangians
as path-integralwise approximations. By constructing a tt Lagrangian that
extends a general gauge-invariant Lagrangian, we show that a tt extension of
the standard model is feasible. We define a tt Lagrangian in terms of tt fields
of the spacetime variable and an additional, four-vector variable. We explain
the fields of quantum field theories as certain covariant, local averages of tt
fields. Only two tt fields may be needed for modeling fundamental interactions:
(i) a four-vector one unifying all fundamental forces, and (ii) a
two-component-spinor one unifying all fundamental matter particles. We comment
on the new physics expected within the tt framework put forward, and point out
some open questions.
| [
{
"created": "Wed, 29 Oct 1997 07:47:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ribaric",
"Marijan",
"",
"Jozef Stefan Institute, Ljubljana,\n Slovenia"
],
[
"Sustersic",
"Luka",
"",
"Jozef Stefan Institute, Ljubljana,\n Slovenia"
]
] | We propose a new, transport-theoretic (tt) class of relativistic extensions of quantum field theories of fundamental interactions. Its concepts are inspired by Feynman's atomistic idea about the physical world and by the extension of fluid dynamics to shorter distances through the Boltzmann transport equation. The extending tt Lagrangians imply the original Lagrangians as path-integralwise approximations. By constructing a tt Lagrangian that extends a general gauge-invariant Lagrangian, we show that a tt extension of the standard model is feasible. We define a tt Lagrangian in terms of tt fields of the spacetime variable and an additional, four-vector variable. We explain the fields of quantum field theories as certain covariant, local averages of tt fields. Only two tt fields may be needed for modeling fundamental interactions: (i) a four-vector one unifying all fundamental forces, and (ii) a two-component-spinor one unifying all fundamental matter particles. We comment on the new physics expected within the tt framework put forward, and point out some open questions. |
2112.08672 | Liu Zhao | Zeyuan Gao, Xiangqing Kong and Liu Zhao | Thermodynamics of Kerr-AdS black holes in the restricted phase space | 19 pages, 8 figures | Eur. Phys. J. C (2022) 82:112 | 10.1140/epjc/s10052-022-10080-y | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | The thermodynamics for Kerr-AdS black hole in four dimensions is revisited
using the recently proposed restricted phase space formalism, which includes
the central charge $C$ of the dual CFT and the chemical potential $\mu$, but
excludes the pressure and the conjugate volume, as thermodynamic variables. The
Euler relation holds automatically, and the first order homogeneity of the mass
and the zeroth order homogeneity of the intensive variables are made explicit.
Thermodynamic processes involving each pair of conjugate variables are studied
in some detail, with emphasis on the scaling properties of the equations of
states. It turns out that the thermodynamic behavior of the Kerr-AdS black hole
is very similar to that of the RN-AdS black hole studied earlier. In
particular, it is found that, there is a first order supercritical phase
equilibrium in the $T-S$ processes at fixed nonvanishing angular momentum,
while at vanishing angular momentum or at fixed angular velocities, there is
always a non-equilibrium transition from a small unstable black hole state to a
large stable black hole state. Moreover, there is a Hawking-Page phase
transition in the $\mu-C$ processes. Due to the complicatedness of the Kerr
metric, the exact critical point and the Hawking-Page temperature are worked
out explicitly only in the slow rotating limit, however the characteristic
thermodynamic properties do not rely on the slow rotating approximation.
| [
{
"created": "Thu, 16 Dec 2021 07:21:09 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2022 13:54:35 GMT",
"version": "v2"
}
] | 2022-02-08 | [
[
"Gao",
"Zeyuan",
""
],
[
"Kong",
"Xiangqing",
""
],
[
"Zhao",
"Liu",
""
]
] | The thermodynamics for Kerr-AdS black hole in four dimensions is revisited using the recently proposed restricted phase space formalism, which includes the central charge $C$ of the dual CFT and the chemical potential $\mu$, but excludes the pressure and the conjugate volume, as thermodynamic variables. The Euler relation holds automatically, and the first order homogeneity of the mass and the zeroth order homogeneity of the intensive variables are made explicit. Thermodynamic processes involving each pair of conjugate variables are studied in some detail, with emphasis on the scaling properties of the equations of states. It turns out that the thermodynamic behavior of the Kerr-AdS black hole is very similar to that of the RN-AdS black hole studied earlier. In particular, it is found that, there is a first order supercritical phase equilibrium in the $T-S$ processes at fixed nonvanishing angular momentum, while at vanishing angular momentum or at fixed angular velocities, there is always a non-equilibrium transition from a small unstable black hole state to a large stable black hole state. Moreover, there is a Hawking-Page phase transition in the $\mu-C$ processes. Due to the complicatedness of the Kerr metric, the exact critical point and the Hawking-Page temperature are worked out explicitly only in the slow rotating limit, however the characteristic thermodynamic properties do not rely on the slow rotating approximation. |
1006.3951 | Luigi Rosa | Luigi Rosa and Astrid Lambrecht | Repulsive Casimir Force: Sufficient Conditions | 11 pages. 3 figures. Misprints corrected in Eq. (4) | Phys.Rev.D82:065025,2010 | 10.1103/PhysRevD.82.065025 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper the Casimir energy of two parallel plates made by materials of
different penetration depth and no medium in between is derived. We study the
Casimir force density and derive analytical constraints on the two penetration
depths which are sufficient conditions to ensure repulsion. Compared to other
methods our approach needs no specific model for dielectric or magnetic
material properties and constitutes a complementary analysis.
| [
{
"created": "Sun, 20 Jun 2010 20:09:23 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Jun 2010 19:56:05 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Aug 2010 10:01:37 GMT",
"version": "v3"
}
] | 2014-11-21 | [
[
"Rosa",
"Luigi",
""
],
[
"Lambrecht",
"Astrid",
""
]
] | In this paper the Casimir energy of two parallel plates made by materials of different penetration depth and no medium in between is derived. We study the Casimir force density and derive analytical constraints on the two penetration depths which are sufficient conditions to ensure repulsion. Compared to other methods our approach needs no specific model for dielectric or magnetic material properties and constitutes a complementary analysis. |
2312.04625 | Pratik Rath | Xi Dong, Jonah Kudler-Flam and Pratik Rath | A Modified Cosmic Brane Proposal for Holographic Renyi Entropy | 29 pages, 10 figures, lemma added and theorem strengthened in v2 | null | null | null | hep-th cond-mat.stat-mech gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We propose a new formula for computing holographic Renyi entropies in the
presence of multiple extremal surfaces. Our proposal is based on computing the
wave function in the basis of fixed-area states and assuming a diagonal
approximation for the Renyi entropy. For Renyi index $n\geq1$, our proposal
agrees with the existing cosmic brane proposal for holographic Renyi entropy.
For $n<1$, however, our proposal predicts a new phase with leading order (in
Newton's constant $G$) corrections to the cosmic brane proposal, even far from
entanglement phase transitions and when bulk quantum corrections are
unimportant. Recast in terms of optimization over fixed-area states, the
difference between the two proposals can be understood to come from the order
of optimization: for $n<1$, the cosmic brane proposal is a minimax prescription
whereas our proposal is a maximin prescription. We demonstrate the presence of
such leading order corrections using illustrative examples. In particular, our
proposal reproduces existing results in the literature for the PSSY model and
high-energy eigenstates, providing a universal explanation for previously found
leading order corrections to the $n<1$ Renyi entropies.
| [
{
"created": "Thu, 7 Dec 2023 19:00:01 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2024 17:37:42 GMT",
"version": "v2"
}
] | 2024-05-21 | [
[
"Dong",
"Xi",
""
],
[
"Kudler-Flam",
"Jonah",
""
],
[
"Rath",
"Pratik",
""
]
] | We propose a new formula for computing holographic Renyi entropies in the presence of multiple extremal surfaces. Our proposal is based on computing the wave function in the basis of fixed-area states and assuming a diagonal approximation for the Renyi entropy. For Renyi index $n\geq1$, our proposal agrees with the existing cosmic brane proposal for holographic Renyi entropy. For $n<1$, however, our proposal predicts a new phase with leading order (in Newton's constant $G$) corrections to the cosmic brane proposal, even far from entanglement phase transitions and when bulk quantum corrections are unimportant. Recast in terms of optimization over fixed-area states, the difference between the two proposals can be understood to come from the order of optimization: for $n<1$, the cosmic brane proposal is a minimax prescription whereas our proposal is a maximin prescription. We demonstrate the presence of such leading order corrections using illustrative examples. In particular, our proposal reproduces existing results in the literature for the PSSY model and high-energy eigenstates, providing a universal explanation for previously found leading order corrections to the $n<1$ Renyi entropies. |
1704.01533 | John F. Donoghue | John F. Donoghue | Quartic propagators, negative norms and the physical spectrum | 9 pages - some added references | Phys. Rev. D 96, 044007 (2017) | 10.1103/PhysRevD.96.044007 | ACFI-TI17-04 | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many arguments against quartic propagators, negative norm states and related
effects concern the sicknesses which occur when the spectrum of the free
particle Hamiltonian is formed. However, if the theory is more complicated, for
example involving confinement such that the particle in question does not
appear in the physical spectrum, those considerations do not apply directly.
Path integral methods suggest that some of these may be acceptable theories. I
provide an example that should be able to be simulated on a lattice which then
allows a non-perturbative resolution of this question. In its SU(2) version it
involves a scalar triplet with a quartic derivative Lagrangian coupled to the
SU(2) gauge field. If this is verified to be a healthy theory, it could open
new avenues in model building. I also discuss how strong interactions can
dynamically modify the dispersion relation leaving a healthy effective field
theory, using conformal gravity coupled to a Yang-Mills theory as an example.
Such a theory could possibly form a UV completion for quantum gravity.
| [
{
"created": "Wed, 5 Apr 2017 17:18:48 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Apr 2017 14:25:28 GMT",
"version": "v2"
}
] | 2017-08-16 | [
[
"Donoghue",
"John F.",
""
]
] | Many arguments against quartic propagators, negative norm states and related effects concern the sicknesses which occur when the spectrum of the free particle Hamiltonian is formed. However, if the theory is more complicated, for example involving confinement such that the particle in question does not appear in the physical spectrum, those considerations do not apply directly. Path integral methods suggest that some of these may be acceptable theories. I provide an example that should be able to be simulated on a lattice which then allows a non-perturbative resolution of this question. In its SU(2) version it involves a scalar triplet with a quartic derivative Lagrangian coupled to the SU(2) gauge field. If this is verified to be a healthy theory, it could open new avenues in model building. I also discuss how strong interactions can dynamically modify the dispersion relation leaving a healthy effective field theory, using conformal gravity coupled to a Yang-Mills theory as an example. Such a theory could possibly form a UV completion for quantum gravity. |
hep-th/0402190 | Ruth Lazkoz | J.M. Aguirregabiria and Ruth Lazkoz | Tracking solutions in tachyon cosmology | 5 pages, 4 figures | Phys.Rev.D69:123502,2004 | 10.1103/PhysRevD.69.123502 | null | hep-th astro-ph gr-qc | null | We perform a thorough phase-plane analysis of the flow defined by the
equations of motion of a FRW universe filled with a tachyonic fluid plus a
barotropic one. The tachyon potential is assumed to be of inverse square form,
thus allowing for a two-dimensional autonomous system of equations. The
Friedmann constraint, combined with a convenient choice of coordinates, renders
the physical state compact. We find the fixed-point solutions, and discuss
whether they represent attractors or not. The way the two fluids contribute at
late-times to the fractional energy density depends on how fast the barotropic
fluid redshifts. If it does it fast enough, the tachyonic fluid takes over at
late times, but if the opposite happens, the situation will not be completely
dominated by the barotropic fluid; instead there will be a residual
non-negligible contribution from the tachyon subject to restrictions coming
from nucleosynthesis.
| [
{
"created": "Tue, 24 Feb 2004 15:15:26 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Aguirregabiria",
"J. M.",
""
],
[
"Lazkoz",
"Ruth",
""
]
] | We perform a thorough phase-plane analysis of the flow defined by the equations of motion of a FRW universe filled with a tachyonic fluid plus a barotropic one. The tachyon potential is assumed to be of inverse square form, thus allowing for a two-dimensional autonomous system of equations. The Friedmann constraint, combined with a convenient choice of coordinates, renders the physical state compact. We find the fixed-point solutions, and discuss whether they represent attractors or not. The way the two fluids contribute at late-times to the fractional energy density depends on how fast the barotropic fluid redshifts. If it does it fast enough, the tachyonic fluid takes over at late times, but if the opposite happens, the situation will not be completely dominated by the barotropic fluid; instead there will be a residual non-negligible contribution from the tachyon subject to restrictions coming from nucleosynthesis. |
hep-th/9401075 | Mark Evans | Mark Evans, Ioannis Giannakis and D. V. Nanopoulos | An Infinite Dimensional Symmetry Algebra in String Theory | 14 pages, Plain TeX, report RU93-8, CTP-TAMU-2/94, CERN-TH.7022/93 | Phys.Rev.D50:4022-4031,1994 | 10.1103/PhysRevD.50.4022 | null | hep-th | null | Symmetry transformations of the space-time fields of string theory are
generated by certain similarity transformations of the stress-tensor of the
associated conformal field theories. This observation is complicated by the
fact that, as we explain, many of the operators we habitually use in string
theory (such as vertices and currents) have ill-defined commutators. However,
we identify an infinite-dimensional subalgebra whose commutators are not
singular, and explicitly calculate its structure constants. This constitutes a
subalgebra of the gauge symmetry of string theory, although it may act on
auxiliary as well as propagating fields. We term this object a {\it weighted
tensor algebra}, and, while it appears to be a distant cousin of the
$W$-algebras, it has not, to our knowledge, appeared in the literature before.
| [
{
"created": "Sat, 15 Jan 1994 00:09:39 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Evans",
"Mark",
""
],
[
"Giannakis",
"Ioannis",
""
],
[
"Nanopoulos",
"D. V.",
""
]
] | Symmetry transformations of the space-time fields of string theory are generated by certain similarity transformations of the stress-tensor of the associated conformal field theories. This observation is complicated by the fact that, as we explain, many of the operators we habitually use in string theory (such as vertices and currents) have ill-defined commutators. However, we identify an infinite-dimensional subalgebra whose commutators are not singular, and explicitly calculate its structure constants. This constitutes a subalgebra of the gauge symmetry of string theory, although it may act on auxiliary as well as propagating fields. We term this object a {\it weighted tensor algebra}, and, while it appears to be a distant cousin of the $W$-algebras, it has not, to our knowledge, appeared in the literature before. |
hep-th/9912142 | Matthew J. Strassler | Matthew J. Strassler (Inst. for Advanced Study) | Confining Phase of Three Dimensional Supersymmetric Quantum
Electrodynamics | 18 pages, 8 figures, uses sprocl.tex. Submitted as a contribution to
the Yuri Golfand memorial volume | null | 10.1142/9789812793850_0017 | IASSNS--HEP--99/115 | hep-th | null | Abelian theories in three dimensions can have linearly confining phases as a
result of monopole-instantons, as shown, for SU(2) Yang-Mills theory broken to
its abelian subgroup, by Polyakov. In this article the generalization of this
phase for N=2 supersymmetric abelian theories is identified, using a dual
description. Topologically stable BPS-saturated and unsaturated particle and
string solitons play essential roles. A plasma of chiral monopoles of charge 1
and -1 (along with their antichiral conjugates) are required for a stable
confining vacuum. N=2 SU(2) Yang-Mills theory broken to U(1) lacks this phase
because its chiral monopoles all have the same charge, leading to a runaway
instability. The possibility of analogous confining phases of string theory,
and a dual field theoretic model thereof, are briefly discussed.
| [
{
"created": "Thu, 16 Dec 1999 15:57:33 GMT",
"version": "v1"
}
] | 2016-11-23 | [
[
"Strassler",
"Matthew J.",
"",
"Inst. for Advanced Study"
]
] | Abelian theories in three dimensions can have linearly confining phases as a result of monopole-instantons, as shown, for SU(2) Yang-Mills theory broken to its abelian subgroup, by Polyakov. In this article the generalization of this phase for N=2 supersymmetric abelian theories is identified, using a dual description. Topologically stable BPS-saturated and unsaturated particle and string solitons play essential roles. A plasma of chiral monopoles of charge 1 and -1 (along with their antichiral conjugates) are required for a stable confining vacuum. N=2 SU(2) Yang-Mills theory broken to U(1) lacks this phase because its chiral monopoles all have the same charge, leading to a runaway instability. The possibility of analogous confining phases of string theory, and a dual field theoretic model thereof, are briefly discussed. |
hep-th/9610009 | Joshua Feinberg | J. Feinberg, A. Zee (ITP, UC Santa-Barbara) | Fermion Bags in the Massive Gross-Neveu Model | 11 pages, 2 figures, LaTex | Phys.Lett. B411 (1997) 134-140 | 10.1016/S0370-2693(97)00993-3 | NSF-ITP-96-127 | hep-th cond-mat hep-ph | null | As has long been known, it is energetically favorable for massive fermions to
deform the homogeneous vacuum around them, giving rise to extended bag-like
objects. We study this phenomenon non-perturbatively in a model field theory,
the $1+1$ dimensional Massive Gross-Neveu model, in the large $N$ limit. We
prove that the bags in this model are necessarily time dependent. We calculate
their masses variationally and demonstrate their stability. We find a
non-analytic behavior in these masses as we approach the standard massless
Gross-Neveu model and argue that this behavior is caused by the kink-antikink
threshold. This work extends our previous work to a non-integrable field
theory.
| [
{
"created": "Wed, 2 Oct 1996 21:37:24 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Feinberg",
"J.",
"",
"ITP, UC Santa-Barbara"
],
[
"Zee",
"A.",
"",
"ITP, UC Santa-Barbara"
]
] | As has long been known, it is energetically favorable for massive fermions to deform the homogeneous vacuum around them, giving rise to extended bag-like objects. We study this phenomenon non-perturbatively in a model field theory, the $1+1$ dimensional Massive Gross-Neveu model, in the large $N$ limit. We prove that the bags in this model are necessarily time dependent. We calculate their masses variationally and demonstrate their stability. We find a non-analytic behavior in these masses as we approach the standard massless Gross-Neveu model and argue that this behavior is caused by the kink-antikink threshold. This work extends our previous work to a non-integrable field theory. |
hep-th/9805183 | Arjan Keurentjes | A. Keurentjes, A. Rosly and A.V. Smilga | Isolated vacua in supersymmetric Yang-Mills theories | 8 pages, no figures, latex | Phys.Rev.D58:081701,1998 | 10.1103/PhysRevD.58.081701 | INLO-PUB-6/98, ITEP-TH-24/98 | hep-th | null | An explicit proof of the existence of nontrivial vacua in the pure
supersymmetric Yang-Mills theories with higher orthogonal SO(N), N>=7 or the
G_2 gauge group defined on a 3-torus with periodic boundary conditions is
given. Extra vacuum states are separated by an energy barrier from the
perturbative vacuum A_i=0 and its gauge copies.
| [
{
"created": "Wed, 27 May 1998 09:05:15 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Keurentjes",
"A.",
""
],
[
"Rosly",
"A.",
""
],
[
"Smilga",
"A. V.",
""
]
] | An explicit proof of the existence of nontrivial vacua in the pure supersymmetric Yang-Mills theories with higher orthogonal SO(N), N>=7 or the G_2 gauge group defined on a 3-torus with periodic boundary conditions is given. Extra vacuum states are separated by an energy barrier from the perturbative vacuum A_i=0 and its gauge copies. |
hep-th/9207083 | Paul A. Griffin | Paul A. Griffin | Staggered fermions and chiral symmetry breaking in transverse lattice
regulated QED | 30 pages, UFIFT-HEP-92-19 | Phys.Rev. D47 (1993) 3530-3542 | 10.1103/PhysRevD.47.3530 | null | hep-th hep-lat | null | Staggered fermions are constructed for the transverse lattice regularization
scheme. The weak perturbation theory of transverse lattice non-compact QED is
developed in light-cone gauge, and we argue that for fixed lattice spacing this
theory is ultraviolet finite, order by order in perturbation theory. However,
by calculating the anomalous scaling dimension of the link fields, we find that
the interaction Hamiltonian becomes non-renormalizable for $g^2(a) > 4\pi$,
where $g(a)$ is the bare (lattice) QED coupling constant. We conjecture that
this is the critical point of the chiral symmetry breaking phase transition in
QED. Non-perturbative chiral symmetry breaking is then studied in the strong
coupling limit. The discrete remnant of chiral symmetry that remains on the
lattice is spontaneously broken, and the ground state to lowest order in the
strong coupling expansion corresponds to the classical ground state of the
two-dimensional spin one-half Heisenberg antiferromagnet.
| [
{
"created": "Fri, 24 Jul 1992 19:26:28 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Griffin",
"Paul A.",
""
]
] | Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in light-cone gauge, and we argue that for fixed lattice spacing this theory is ultraviolet finite, order by order in perturbation theory. However, by calculating the anomalous scaling dimension of the link fields, we find that the interaction Hamiltonian becomes non-renormalizable for $g^2(a) > 4\pi$, where $g(a)$ is the bare (lattice) QED coupling constant. We conjecture that this is the critical point of the chiral symmetry breaking phase transition in QED. Non-perturbative chiral symmetry breaking is then studied in the strong coupling limit. The discrete remnant of chiral symmetry that remains on the lattice is spontaneously broken, and the ground state to lowest order in the strong coupling expansion corresponds to the classical ground state of the two-dimensional spin one-half Heisenberg antiferromagnet. |
hep-th/9306035 | null | H.Aratyn, E.Nissimov and S.Pacheva | Construction of KP Hierarchies in Terms of Finite Number of Fields and
their Abelianization | 12 p., LaTeX, minor typos corrected, BGU-93/2/June-PH | Phys.Lett. B314 (1993) 41-51 | 10.1016/0370-2693(93)91319-I | null | hep-th | null | The $2M$-boson representations of KP hierarchy are constructed in terms of
$M$ mutually independent two-boson KP representations for arbitrary number $M$.
Our construction establishes the multi-boson representations of KP hierarchy as
consistent Poisson reductions of standard KP hierarchy within the $R$-matrix
scheme. As a byproduct we obtain a complete description of any
finitely-many-field formulation of KP hierarchy in terms of Darboux coordinates
with respect to the first Hamiltonian structure. This results in a series of
representations of $\Win1\,$ algebra made out of arbitrary even number of boson
fields.
| [
{
"created": "Sun, 6 Jun 1993 13:25:19 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Jun 1993 10:19:11 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Aratyn",
"H.",
""
],
[
"Nissimov",
"E.",
""
],
[
"Pacheva",
"S.",
""
]
] | The $2M$-boson representations of KP hierarchy are constructed in terms of $M$ mutually independent two-boson KP representations for arbitrary number $M$. Our construction establishes the multi-boson representations of KP hierarchy as consistent Poisson reductions of standard KP hierarchy within the $R$-matrix scheme. As a byproduct we obtain a complete description of any finitely-many-field formulation of KP hierarchy in terms of Darboux coordinates with respect to the first Hamiltonian structure. This results in a series of representations of $\Win1\,$ algebra made out of arbitrary even number of boson fields. |
hep-th/9711087 | Nathan Jacob Berkovits | Nathan Berkovits and Barton Zwiebach | On the Picture Dependence of Ramond-Ramond Cohomology | Added one footnote and five references | Nucl.Phys.B523:311-343,1998 | 10.1016/S0550-3213(98)00132-1 | MIT-CTP-2637, HUTP-97/A025, IFT-P.069/97 | hep-th | null | Closed string physical states are BRST cohomology classes computed on the
space of states annihilated by $b_0^-$. Since $b_0^-$ does not commute with the
operations of picture changing, BRST cohomologies at different pictures need
not agree. We show explicitly that Ramond-Ramond (RR) zero-momentum physical
states are inequivalent at different pictures, and prove that non-zero momentum
physical states are equivalent in all pictures. We find that D-brane states
represent BRST classes that are nonpolynomial on the superghost zero modes,
while RR gauge fields appear as polynomial BRST classes. We also prove that in
$x$-cohomology, the cohomology where the zero mode of the spatial coordinates
is included, there is a unique ghost-number one BRST class responsible for the
Green-Schwarz anomaly, and a unique ghost number minus one BRST class
associated with RR charge.
| [
{
"created": "Wed, 12 Nov 1997 18:14:30 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Dec 1997 13:53:46 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Berkovits",
"Nathan",
""
],
[
"Zwiebach",
"Barton",
""
]
] | Closed string physical states are BRST cohomology classes computed on the space of states annihilated by $b_0^-$. Since $b_0^-$ does not commute with the operations of picture changing, BRST cohomologies at different pictures need not agree. We show explicitly that Ramond-Ramond (RR) zero-momentum physical states are inequivalent at different pictures, and prove that non-zero momentum physical states are equivalent in all pictures. We find that D-brane states represent BRST classes that are nonpolynomial on the superghost zero modes, while RR gauge fields appear as polynomial BRST classes. We also prove that in $x$-cohomology, the cohomology where the zero mode of the spatial coordinates is included, there is a unique ghost-number one BRST class responsible for the Green-Schwarz anomaly, and a unique ghost number minus one BRST class associated with RR charge. |
2005.11955 | Si-Wen Li | Si-wen Li | Holographic Schwinger effect in the confining background with
D-instanton | 2 tables,9 figures,23 pages | null | 10.1140/epjc/s10052-021-09607-6 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the gauge-gravity duality, we study the holographic Schwinger effect by
performing the potential analysis on the confining D3- and D4-brane background
with D-instantons then evaluate the pair production/decay rate by taking
account into a fundamental string and a single flavor brane respectively. The
two confining backgrounds with D-instantons are obtained from the black
D(-1)-D3 and D0-D4 solution with a double Wick rotation. The total potential
and pair production/decay rate in the Schwinger effect are calculated
numerically by examining the NG action of a fundamental string and the DBI
action of a single flavor brane all in the presence of an electric field. In
both backgrounds our numerical calculation agrees with the critical electric
field evaluated from the DBI action and shows the potential barrier is
increased by the presence of the D-instantons, thus the production/decay rate
is suppressed by the D-instantons. Our interpretation is that particles in the
dual field theory could acquire an effective mass through the Chern-Simons
interaction or the theta term due to the presence of D-instantons so that the
pair production/decay rate in Schwinger effect is suppressed since it behaves
as $e^{-m^{2}}$. Our conclusion is in agreement with the previous results
obtained in the deconfined D(-1)-D3 background at zero temperature limit and
from the approach of the flavor brane in the D0-D4 background. In this sense,
this work may be also remarkable to study the phase transition in
Maxwell-Chern-Simons theory and observable effects by the theta angle in QCD.
| [
{
"created": "Mon, 25 May 2020 07:45:10 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Jun 2020 05:36:21 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Jul 2021 03:47:07 GMT",
"version": "v3"
}
] | 2021-09-14 | [
[
"Li",
"Si-wen",
""
]
] | Using the gauge-gravity duality, we study the holographic Schwinger effect by performing the potential analysis on the confining D3- and D4-brane background with D-instantons then evaluate the pair production/decay rate by taking account into a fundamental string and a single flavor brane respectively. The two confining backgrounds with D-instantons are obtained from the black D(-1)-D3 and D0-D4 solution with a double Wick rotation. The total potential and pair production/decay rate in the Schwinger effect are calculated numerically by examining the NG action of a fundamental string and the DBI action of a single flavor brane all in the presence of an electric field. In both backgrounds our numerical calculation agrees with the critical electric field evaluated from the DBI action and shows the potential barrier is increased by the presence of the D-instantons, thus the production/decay rate is suppressed by the D-instantons. Our interpretation is that particles in the dual field theory could acquire an effective mass through the Chern-Simons interaction or the theta term due to the presence of D-instantons so that the pair production/decay rate in Schwinger effect is suppressed since it behaves as $e^{-m^{2}}$. Our conclusion is in agreement with the previous results obtained in the deconfined D(-1)-D3 background at zero temperature limit and from the approach of the flavor brane in the D0-D4 background. In this sense, this work may be also remarkable to study the phase transition in Maxwell-Chern-Simons theory and observable effects by the theta angle in QCD. |
hep-th/0203054 | Marco A. Rego Monteiro | V. B. Bezerra, E. M. F. Curado and M. A. Rego-Monteiro | Generalized quantum field theory: perturbative computation and
perspectives | 19 pages | Phys.Rev. D65 (2002) 065020 | 10.1103/PhysRevD.65.065020 | null | hep-th | null | We analyze some consequences of two possible interpretations of the action of
the ladder operators emerging from generalized Heisenberg algebras in the
framework of the second quantized formalism. Within the first interpretation we
construct a quantum field theory that creates at any space-time point particles
described by a q-deformed Heisenberg algebra and we compute the propagator and
a specific first order scattering process. Concerning the second one, we draw
attention to the possibility of constructing this theory where each state of a
generalized Heisenberg algebra is interpreted as a particle with different
mass.
| [
{
"created": "Wed, 6 Mar 2002 17:32:21 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Bezerra",
"V. B.",
""
],
[
"Curado",
"E. M. F.",
""
],
[
"Rego-Monteiro",
"M. A.",
""
]
] | We analyze some consequences of two possible interpretations of the action of the ladder operators emerging from generalized Heisenberg algebras in the framework of the second quantized formalism. Within the first interpretation we construct a quantum field theory that creates at any space-time point particles described by a q-deformed Heisenberg algebra and we compute the propagator and a specific first order scattering process. Concerning the second one, we draw attention to the possibility of constructing this theory where each state of a generalized Heisenberg algebra is interpreted as a particle with different mass. |
hep-th/9807093 | Harald Dorn | H.Dorn, H.-J. Otto | $Q\bar Q$ potential from AdS-CFT relation at $T\geq 0$: Dependence on
orientation in internal space and higher curvature corrections | Used background has been adapted to hep-th/9808126 and revised
version of hep-th/9805156, slightly changed comment on 1/L term | JHEP 9809:021,1998 | 10.1088/1126-6708/1998/09/021 | HU-Berlin-EP-98/40 | hep-th | null | Within the classical approximation we calculate the static $Q\bar Q$
potential via the AdS/CFT relation for nonzero temperature and arbitrary
internal orientation of the quarks. We use a higher order curvature corrected
target space background. For timelike Wilson loops there arises a critical line
in the orientation-distance plane which is shifted to larger distances relative
to the calculation with uncorrected background. Beyond that line there is no
$Q\bar Q$-force. The overall vanishing of the force for antipodal orientation
known from zero tempera ture remains valid. The spacelike Wilson loops yield a
string tension for a (2+1)-dimensional gauge theory, independent of the
relative internal orientation, but sensitive to the background correction.
| [
{
"created": "Tue, 14 Jul 1998 08:03:51 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 1998 14:54:51 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Dorn",
"H.",
""
],
[
"Otto",
"H. -J.",
""
]
] | Within the classical approximation we calculate the static $Q\bar Q$ potential via the AdS/CFT relation for nonzero temperature and arbitrary internal orientation of the quarks. We use a higher order curvature corrected target space background. For timelike Wilson loops there arises a critical line in the orientation-distance plane which is shifted to larger distances relative to the calculation with uncorrected background. Beyond that line there is no $Q\bar Q$-force. The overall vanishing of the force for antipodal orientation known from zero tempera ture remains valid. The spacelike Wilson loops yield a string tension for a (2+1)-dimensional gauge theory, independent of the relative internal orientation, but sensitive to the background correction. |
1710.05334 | Juan Mar\'in | J. A. Gonz\'alez, A. Bellor\'in, M\'onica A. Garc\'ia-\~Nustes, L. E.
Guerrero, S. Jim\'enez, Juan F. Mar\'in and L. V\'azquez | Fate of the true-vacuum bubbles | 9 pages, 3 figures | Journal of Cosmology and Astroparticle Physics 2018, 033 (2018) | 10.1088/1475-7516/2018/06/033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the bounce solutions in vacuum decay problems. We show that it
is possible to have a stable false vacuum in a potential that is unbounded from
below.
| [
{
"created": "Sun, 15 Oct 2017 13:45:41 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2017 19:24:30 GMT",
"version": "v2"
},
{
"created": "Tue, 13 Feb 2018 21:24:16 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Apr 2018 20:23:26 GMT",
"version": "v4"
}
] | 2019-05-22 | [
[
"González",
"J. A.",
""
],
[
"Bellorín",
"A.",
""
],
[
"García-Ñustes",
"Mónica A.",
""
],
[
"Guerrero",
"L. E.",
""
],
[
"Jiménez",
"S.",
""
],
[
"Marín",
"Juan F.",
""
],
[
"Vázquez",
"L.",
""
]
] | We investigate the bounce solutions in vacuum decay problems. We show that it is possible to have a stable false vacuum in a potential that is unbounded from below. |
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