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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1108.0165 | Shankhadeep Chakrabortty | Shankhadeep Chakrabortty | Dissipative force on an external quark in heavy quark cloud | 14 pages, 2 figures, significant improvements, to be appeared in
Physics Letters B | null | 10.1016/j.physletb.2011.09.112 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Within the finite temperature N = 4 strongly coupled super Yang- Mills, we
compute the dissipative force on an external quark in the presence of evenly
distributed heavy quark cloud. This is computed holographically by constructing
the corresponding gravity dual. We study the behaviour of this force as a
function of the cloud density. Along the way we also analyze the stability of
the gravity dual for vector and tensor perturbations.
| [
{
"created": "Sun, 31 Jul 2011 11:14:16 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Oct 2011 12:52:35 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Chakrabortty",
"Shankhadeep",
""
]
] | Within the finite temperature N = 4 strongly coupled super Yang- Mills, we compute the dissipative force on an external quark in the presence of evenly distributed heavy quark cloud. This is computed holographically by constructing the corresponding gravity dual. We study the behaviour of this force as a function of the cloud density. Along the way we also analyze the stability of the gravity dual for vector and tensor perturbations. |
hep-th/9706188 | null | M. Hassa\"ine, P. A. Horv\'athy and J.-C. Yera | Non-relativistic Maxwell-Chern-Simons Vortices | 20 pages plain TeX. Revised: minor errors corrected and symmetries
explained in a clearer way. Version as will appear in Ann. Phys. (N.Y.) | Annals Phys.263:276-294,1998 | 10.1006/aphy.1997.5764 | null | hep-th | null | The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton
is shown to admit self-dual vortex solutions with non-zero electric field. The
interrelated ``geometric'' and ``hidden'' symmetries are explained. The theory
is also extended to (non-relativistic) spinors. A relativistic, self-dual
model, whose non-relativistic limit is the Manton model is also presented. The
relation to previous work is discussed.
| [
{
"created": "Thu, 26 Jun 1997 11:41:56 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Nov 1997 14:22:30 GMT",
"version": "v2"
}
] | 2011-07-05 | [
[
"Hassaïne",
"M.",
""
],
[
"Horváthy",
"P. A.",
""
],
[
"Yera",
"J. -C.",
""
]
] | The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated ``geometric'' and ``hidden'' symmetries are explained. The theory is also extended to (non-relativistic) spinors. A relativistic, self-dual model, whose non-relativistic limit is the Manton model is also presented. The relation to previous work is discussed. |
2007.03264 | Bill Spence | Rashid Alawadhi, David S. Berman and Bill Spence | Weyl doubling | 28 pages. Minor changes. Version to appear in JHEP | null | 10.1007/JHEP09(2020)127 | QMUL-PH-20-18 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a host of spacetimes where the Weyl curvature may be expressed
algebraically in terms of an Abelian field strength. These include Type D
spacetimes in four and higher dimensions which obey a simple quadratic relation
between the field strength and the Weyl tensor, following the Weyl spinor
double copy relation. However, we diverge from the usual double copy paradigm
by taking the gauge fields to be in the curved spacetime as opposed to an
auxiliary flat space.
We show how for Gibbons-Hawking spacetimes with more than two centres a
generalisation of the Weyl doubling formula is needed by including a
derivative-dependent expression which is linear in the Abelian field strength.
We also find a type of twisted doubling formula in a case of a manifold with
Spin(7) holonomy in eight dimensions.
For Einstein Maxwell theories where there is an independent gauge field
defined on spacetime, we investigate how the gauge fields determine the Weyl
spacetime curvature via a doubling formula. We first show that this occurs for
the Reissner-Nordstrom metric in any dimension, and that this generalises to
the electrically-charged Born-Infeld solutions. Finally, we consider brane
systems in supergravity, showing that a similar doubling formula applies. This
Weyl formula is based on the field strength of the p-form potential that
minimally couples to the brane and the brane world volume Killing vectors.
| [
{
"created": "Tue, 7 Jul 2020 08:02:42 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Aug 2020 15:23:09 GMT",
"version": "v2"
}
] | 2020-10-28 | [
[
"Alawadhi",
"Rashid",
""
],
[
"Berman",
"David S.",
""
],
[
"Spence",
"Bill",
""
]
] | We study a host of spacetimes where the Weyl curvature may be expressed algebraically in terms of an Abelian field strength. These include Type D spacetimes in four and higher dimensions which obey a simple quadratic relation between the field strength and the Weyl tensor, following the Weyl spinor double copy relation. However, we diverge from the usual double copy paradigm by taking the gauge fields to be in the curved spacetime as opposed to an auxiliary flat space. We show how for Gibbons-Hawking spacetimes with more than two centres a generalisation of the Weyl doubling formula is needed by including a derivative-dependent expression which is linear in the Abelian field strength. We also find a type of twisted doubling formula in a case of a manifold with Spin(7) holonomy in eight dimensions. For Einstein Maxwell theories where there is an independent gauge field defined on spacetime, we investigate how the gauge fields determine the Weyl spacetime curvature via a doubling formula. We first show that this occurs for the Reissner-Nordstrom metric in any dimension, and that this generalises to the electrically-charged Born-Infeld solutions. Finally, we consider brane systems in supergravity, showing that a similar doubling formula applies. This Weyl formula is based on the field strength of the p-form potential that minimally couples to the brane and the brane world volume Killing vectors. |
hep-th/9802106 | Erasmo Recami | G. Salesi, E. Recami, H. Hernandez F., and L. C. Kretly | Hydrodynamics of Spinning Particles | LaTeX; 8 pages | null | null | null | hep-th | null | In this note, we first obtain the decomposition of the non-relativistic field
velocity into the classical part (i.e., the velocity w=p/m OF the
center-of-mass (CM), and the so-called quantum part (i.e., the velocity V of
the motion IN the CM frame (namely, the internal spin-motion or
Zitterbewegung), these two parts being orthogonal. Our starting point is the
Pauli current. Then, by inserting such a composite expression of the velocity
into the kinetic energy term of the non-relativistic newtonian lagrangian, we
get the appearance of the so-called "quantum potential" (which makes the
difference between classical and quantum behaviour) as a pure consequence of
the internal motion. Such a result carries further evidence about the
possibility that the quantum behaviour of micro-systems be a direct consequence
of the fundamental existence of spin.
| [
{
"created": "Sun, 15 Feb 1998 16:59:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Salesi",
"G.",
""
],
[
"Recami",
"E.",
""
],
[
"F.",
"H. Hernandez",
""
],
[
"Kretly",
"L. C.",
""
]
] | In this note, we first obtain the decomposition of the non-relativistic field velocity into the classical part (i.e., the velocity w=p/m OF the center-of-mass (CM), and the so-called quantum part (i.e., the velocity V of the motion IN the CM frame (namely, the internal spin-motion or Zitterbewegung), these two parts being orthogonal. Our starting point is the Pauli current. Then, by inserting such a composite expression of the velocity into the kinetic energy term of the non-relativistic newtonian lagrangian, we get the appearance of the so-called "quantum potential" (which makes the difference between classical and quantum behaviour) as a pure consequence of the internal motion. Such a result carries further evidence about the possibility that the quantum behaviour of micro-systems be a direct consequence of the fundamental existence of spin. |
hep-th/0407050 | Troels Harmark | H. Elvang, T. Harmark and N. A. Obers | Sequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes | 71 pages, 22 figures, v2: Typos fixed, comment added in sec. 5.3 | JHEP0501:003,2005 | 10.1088/1126-6708/2005/01/003 | null | hep-th | null | We construct and analyze a large class of exact five- and six-dimensional
regular and static solutions of the vacuum Einstein equations. These solutions
describe sequences of Kaluza-Klein bubbles and black holes, placed alternately
so that the black holes are held apart by the bubbles. Asymptotically the
solutions are Minkowski-space times a circle, i.e. Kaluza-Klein space, so they
are part of the (\mu,n) phase diagram introduced in hep-th/0309116. In
particular, they occupy a hitherto unexplored region of the phase diagram,
since their relative tension exceeds that of the uniform black string. The
solutions contain bubbles and black holes of various topologies, including
six-dimensional black holes with ring topology S^3 x S^1 and tuboid topology
S^2 x S^1 x S^1. The bubbles support the S^1's of the horizons against
gravitational collapse. We find two maps between solutions, one that relates
five- and six-dimensional solutions, and another that relates solutions in the
same dimension by interchanging bubbles and black holes. To illustrate the
richness of the phase structure and the non-uniqueness in the (\mu,n) phase
diagram, we consider in detail particular examples of the general class of
solutions.
| [
{
"created": "Wed, 7 Jul 2004 16:17:06 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Feb 2005 11:53:41 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Elvang",
"H.",
""
],
[
"Harmark",
"T.",
""
],
[
"Obers",
"N. A.",
""
]
] | We construct and analyze a large class of exact five- and six-dimensional regular and static solutions of the vacuum Einstein equations. These solutions describe sequences of Kaluza-Klein bubbles and black holes, placed alternately so that the black holes are held apart by the bubbles. Asymptotically the solutions are Minkowski-space times a circle, i.e. Kaluza-Klein space, so they are part of the (\mu,n) phase diagram introduced in hep-th/0309116. In particular, they occupy a hitherto unexplored region of the phase diagram, since their relative tension exceeds that of the uniform black string. The solutions contain bubbles and black holes of various topologies, including six-dimensional black holes with ring topology S^3 x S^1 and tuboid topology S^2 x S^1 x S^1. The bubbles support the S^1's of the horizons against gravitational collapse. We find two maps between solutions, one that relates five- and six-dimensional solutions, and another that relates solutions in the same dimension by interchanging bubbles and black holes. To illustrate the richness of the phase structure and the non-uniqueness in the (\mu,n) phase diagram, we consider in detail particular examples of the general class of solutions. |
hep-th/9511124 | Kazuo Fujikawa | Kazuo Fujikawa (Univ. of Tokyo) | Gribov Problem and BRST Symmetry | 20 pages plus 1 figure. To be published in the Proceedings of
International Symposium on BRS Symmetry(Universal Academy Press, Tokyo) | null | null | UT-732, 1995 | hep-th | null | After a brief historical comment on the study of BRS(or BRST) symmetry , we
discuss the quantization of gauge theories with Gribov copies. A path integral
with BRST symmetry can be formulated by summing the Gribov-type copies in a
very specific way if the functional correspondence between $\tau$ and the gauge
parameter $\omega$ defined by $\tau (x) = f( A_{\mu}^{\omega}(x))$ is
``globally single valued'', where $f( A_{\mu}^{\omega}(x)) = 0 $ specifies the
gauge condition. As an example of the theory which satisfies this criterion, we
comment on a soluble gauge model with Gribov-type copies recently analyzed by
Friedberg, Lee, Pang and Ren. We also comment on a possible connection of the
dynamical instability of BRST symmetry with the Gribov problem on the basis of
an index notion.
| [
{
"created": "Fri, 17 Nov 1995 07:50:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fujikawa",
"Kazuo",
"",
"Univ. of Tokyo"
]
] | After a brief historical comment on the study of BRS(or BRST) symmetry , we discuss the quantization of gauge theories with Gribov copies. A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between $\tau$ and the gauge parameter $\omega$ defined by $\tau (x) = f( A_{\mu}^{\omega}(x))$ is ``globally single valued'', where $f( A_{\mu}^{\omega}(x)) = 0 $ specifies the gauge condition. As an example of the theory which satisfies this criterion, we comment on a soluble gauge model with Gribov-type copies recently analyzed by Friedberg, Lee, Pang and Ren. We also comment on a possible connection of the dynamical instability of BRST symmetry with the Gribov problem on the basis of an index notion. |
hep-th/9312161 | Oh phillial | Taejin Lee and Phillial Oh | Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm
Effect | 32 pages, Revtex 2.0, two figures available upon request, SNUTP-93/82 | Annals Phys. 235 (1994) 413-434 | 10.1006/aphy.1994.1103 | null | hep-th | null | We construct a classical action for a system of $N$ point-like sources which
carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge
fields, and develop a quantum mechanics for them. Adopting the coherent state
quantization and solving the Gauss' constraint in an appropriately chosen
gauge, we obtain a quantum mechanical Hamiltonian given in terms of the
Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm
effect, employing the obtained Hamiltonian for two-particle sector. An explicit
evaluation of the differential cross section for the non-Abelian Aharonov-Bohm
scattering is given.
| [
{
"created": "Mon, 20 Dec 1993 11:32:20 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Lee",
"Taejin",
""
],
[
"Oh",
"Phillial",
""
]
] | We construct a classical action for a system of $N$ point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss' constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm effect, employing the obtained Hamiltonian for two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given. |
hep-th/9407183 | Peter West | P.S. Howe, G. Papadopoulos, P.C.West | Free Fermions and Extended Conformal Algebras | 7 pages, KCL-Th-94-13 | Phys.Lett.B339:219-222,1994 | 10.1016/0370-2693(94)90635-1 | null | hep-th | null | A class of algebras is constructed using free fermions and the invariant
antisymmetric tensors associated with irreducible holonomy groups. (This
version contains minor typographical corrections and some additional
references. )
| [
{
"created": "Wed, 27 Jul 1994 13:00:21 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Oct 1994 15:51:38 GMT",
"version": "v2"
}
] | 2014-01-21 | [
[
"Howe",
"P. S.",
""
],
[
"Papadopoulos",
"G.",
""
],
[
"West",
"P. C.",
""
]
] | A class of algebras is constructed using free fermions and the invariant antisymmetric tensors associated with irreducible holonomy groups. (This version contains minor typographical corrections and some additional references. ) |
1607.08143 | Peter Vastag | H. Reinhardt, G. Burgio, D. Campagnari, M. Quandt, P. Vastag, H. Vogt,
and E. Ebadati | Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement
scenario at work | 13 pages, 10 figures, talk given by H. Reinhardt at "5th
International Conference on New Frontiers in Physics", 6-14 July 2016,
Kolymbari, Greece | null | 10.1051/epjconf/201716403004 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I will review essential features of the Hamiltonian approach to QCD in
Coulomb gauge showing that Gribov's confinement scenario is realized in this
gauge. For this purpose I will discuss in detail the emergence of the horizon
condition and the Coulomb string tension. I will show that both are induced by
center vortex gauge field configurations, which establish the connection
between Gribov's confinement scenario and the center vortex picture of
confinement. I will then extend the Hamiltonian approach to QCD in Coulomb
gauge to finite temperatures, first by the usual grand canonical ensemble and
second by the compactification of a spatial dimension. I will present results
for the pressure, energy density and interaction measure as well as for the
Polyakov loop.
| [
{
"created": "Wed, 27 Jul 2016 15:21:29 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Reinhardt",
"H.",
""
],
[
"Burgio",
"G.",
""
],
[
"Campagnari",
"D.",
""
],
[
"Quandt",
"M.",
""
],
[
"Vastag",
"P.",
""
],
[
"Vogt",
"H.",
""
],
[
"Ebadati",
"E.",
""
]
] | I will review essential features of the Hamiltonian approach to QCD in Coulomb gauge showing that Gribov's confinement scenario is realized in this gauge. For this purpose I will discuss in detail the emergence of the horizon condition and the Coulomb string tension. I will show that both are induced by center vortex gauge field configurations, which establish the connection between Gribov's confinement scenario and the center vortex picture of confinement. I will then extend the Hamiltonian approach to QCD in Coulomb gauge to finite temperatures, first by the usual grand canonical ensemble and second by the compactification of a spatial dimension. I will present results for the pressure, energy density and interaction measure as well as for the Polyakov loop. |
hep-th/9902012 | null | E. Alvarez and C. Gomez (Madrid) | Non-Critical Confining Strings and the Renormalization Group | LaTeX, 19 Pages, one reference added | Nucl.Phys. B550 (1999) 169-182 | 10.1016/S0550-3213(99)00142-X | IFT-UAM/CSIC-99-03 | hep-th | null | String vacua for non critical strings satisfying the requirements of Zig-Zag
invariance are constructed. The Liouville mode is shown to play the r\^ole of
scale in the Renormalization Group operation. Differences and similarities with
the D-brane near horizon approach to non supersymmetric gauge theories are
discussed as well.
| [
{
"created": "Mon, 1 Feb 1999 10:55:08 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Mar 1999 16:25:44 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Alvarez",
"E.",
"",
"Madrid"
],
[
"Gomez",
"C.",
"",
"Madrid"
]
] | String vacua for non critical strings satisfying the requirements of Zig-Zag invariance are constructed. The Liouville mode is shown to play the r\^ole of scale in the Renormalization Group operation. Differences and similarities with the D-brane near horizon approach to non supersymmetric gauge theories are discussed as well. |
2009.01926 | Romain Ruzziconi | Romain Ruzziconi | On the Various Extensions of the BMS Group | PhD Thesis, 204 pages, 2 figures | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry
group of radiating asymptotically flat spacetimes. It has recently received
renewed interest in the context of the flat holography and the infrared
structure of gravity. In this thesis, we investigate the consequences of
considering extensions of the BMS group in four dimensions with superrotations.
In particular, we apply the covariant phase space methods on a class of first
order gauge theories that includes the Cartan formulation of general relativity
and specify this analysis to gravity in asymptotically flat spacetime.
Furthermore, we renormalize the symplectic structure at null infinity to obtain
the generalized BMS charge algebra associated with smooth superrotations. We
then study the vacuum structure of the gravitational field, which allows us to
relate the so-called superboost transformations to the velocity kick/refraction
memory effect. Afterward, we propose a new set of boundary conditions in
asymptotically locally (A)dS spacetime that leads to a version of the BMS group
in the presence of a non-vanishing cosmological constant, called the
$\Lambda$-BMS asymptotic symmetry group. Using the holographic renormalization
procedure and a diffeomorphism between Bondi and Fefferman-Graham gauges, we
construct the phase space of $\Lambda$-BMS and show that it reduces to the one
of the generalized BMS group in the flat limit.
| [
{
"created": "Thu, 3 Sep 2020 21:05:56 GMT",
"version": "v1"
}
] | 2020-09-07 | [
[
"Ruzziconi",
"Romain",
""
]
] | The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of gravity. In this thesis, we investigate the consequences of considering extensions of the BMS group in four dimensions with superrotations. In particular, we apply the covariant phase space methods on a class of first order gauge theories that includes the Cartan formulation of general relativity and specify this analysis to gravity in asymptotically flat spacetime. Furthermore, we renormalize the symplectic structure at null infinity to obtain the generalized BMS charge algebra associated with smooth superrotations. We then study the vacuum structure of the gravitational field, which allows us to relate the so-called superboost transformations to the velocity kick/refraction memory effect. Afterward, we propose a new set of boundary conditions in asymptotically locally (A)dS spacetime that leads to a version of the BMS group in the presence of a non-vanishing cosmological constant, called the $\Lambda$-BMS asymptotic symmetry group. Using the holographic renormalization procedure and a diffeomorphism between Bondi and Fefferman-Graham gauges, we construct the phase space of $\Lambda$-BMS and show that it reduces to the one of the generalized BMS group in the flat limit. |
hep-th/0502074 | Vicari | Davide Fichera, Mihail Mintchev, Ettore Vicari | Quantum Field Theories and Critical Phenomena on Defects | 20 pages, references added | Nucl.Phys. B720 (2005) 307-324 | 10.1016/j.nuclphysb.2005.05.018 | IFUP-TH 06/2005 | hep-th | null | We construct and investigate quantum fields induced on a d-dimensional
dissipationless defect by bulk fields propagating in a (d+1)-dimensional space.
All interactions are localized on the defect. We derive a unitary non-canonical
quantum field theory on the defect, which is analyzed both in the continuum and
on the lattice. The universal critical behavior of the underlying system is
determined. It turns out that the O(N)-symmetric phi^4 theory, induced on the
defect by massless bulk fields, belongs to the universality class of particular
d-dimensional spin models with long-range interactions. On the other hand, in
the presence of bulk mass the critical behavior crossovers to the one of
d-dimensional spin models with short-range interactions.
| [
{
"created": "Mon, 7 Feb 2005 08:48:57 GMT",
"version": "v1"
},
{
"created": "Sat, 12 Feb 2005 08:49:23 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Fichera",
"Davide",
""
],
[
"Mintchev",
"Mihail",
""
],
[
"Vicari",
"Ettore",
""
]
] | We construct and investigate quantum fields induced on a d-dimensional dissipationless defect by bulk fields propagating in a (d+1)-dimensional space. All interactions are localized on the defect. We derive a unitary non-canonical quantum field theory on the defect, which is analyzed both in the continuum and on the lattice. The universal critical behavior of the underlying system is determined. It turns out that the O(N)-symmetric phi^4 theory, induced on the defect by massless bulk fields, belongs to the universality class of particular d-dimensional spin models with long-range interactions. On the other hand, in the presence of bulk mass the critical behavior crossovers to the one of d-dimensional spin models with short-range interactions. |
hep-th/9909137 | Piet Termonia | Piet Termonia | The complete N=3 Kaluza Klein spectrum of 11D supergravity on AdS_4 x
N^{010} | 1+50 pages, LaTeX | Nucl.Phys. B577 (2000) 341-389 | 10.1016/S0550-3213(00)00061-4 | null | hep-th | null | We derive the invariant operators of the zero-form, the one-form, the
two-form and the spinor from which the mass spectrum of Kaluza Klein of
eleven-dimensional supergravity on AdS_4 x N^{010} can be derived by means of
harmonic analysis. We calculate their eigenvalues for all representations of
SU(3)xSO(3). We show that the information contained in these operators is
sufficient to reconstruct the complete N=3 supersymmetry content of the
compactified theory. We find the N=3 massless graviton multiplet, the Betti
multiplet and the SU(3) Killing vector multiplet.
| [
{
"created": "Mon, 20 Sep 1999 17:24:18 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Termonia",
"Piet",
""
]
] | We derive the invariant operators of the zero-form, the one-form, the two-form and the spinor from which the mass spectrum of Kaluza Klein of eleven-dimensional supergravity on AdS_4 x N^{010} can be derived by means of harmonic analysis. We calculate their eigenvalues for all representations of SU(3)xSO(3). We show that the information contained in these operators is sufficient to reconstruct the complete N=3 supersymmetry content of the compactified theory. We find the N=3 massless graviton multiplet, the Betti multiplet and the SU(3) Killing vector multiplet. |
1905.08363 | Edward Basso | Edward E. Basso and Daniel J. H. Chung | Non-Abelian basis tensor gauge theory | null | Phys. Rev. D 100, 085003 (2019) | 10.1103/PhysRevD.100.085003 | null | hep-th astro-ph.HE hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Basis tensor gauge theory is a vierbein analog reformulation of ordinary
gauge theories in which the difference of local field degrees of freedom has
the interpretation of an object similar to a Wilson line. Here we present a
non-Abelian basis tensor gauge theory formalism. Unlike in the Abelian case,
the map between the ordinary gauge field and the basis tensor gauge field is
nonlinear. To test the formalism, we compute the beta function and the
two-point function at the one-loop level in non-Abelian basis tensor gauge
theory and show that it reproduces the well-known results from the usual
formulation of non-Abelian gauge theory.
| [
{
"created": "Mon, 20 May 2019 22:10:17 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2019 22:30:27 GMT",
"version": "v2"
}
] | 2019-10-23 | [
[
"Basso",
"Edward E.",
""
],
[
"Chung",
"Daniel J. H.",
""
]
] | Basis tensor gauge theory is a vierbein analog reformulation of ordinary gauge theories in which the difference of local field degrees of freedom has the interpretation of an object similar to a Wilson line. Here we present a non-Abelian basis tensor gauge theory formalism. Unlike in the Abelian case, the map between the ordinary gauge field and the basis tensor gauge field is nonlinear. To test the formalism, we compute the beta function and the two-point function at the one-loop level in non-Abelian basis tensor gauge theory and show that it reproduces the well-known results from the usual formulation of non-Abelian gauge theory. |
hep-th/0407137 | Shyamoli Chaudhuri | Shyamoli Chaudhuri | Holography and the Canonical Ensemble of Fermionic Strings | null | null | null | null | hep-th | null | We show that the canonical ensemble in any of the six supersymmetric string
theories, type IIA and IIB, type IB and type I', or heterotic E_8 x E_8 and
Spin(32)/Z_2, exhibits a strong version of holography: the growth of the number
of degrees of freedom in the free energy at high temperatures is identical to
that in a two-dimensional quantum field theory. We clarify the precise nature
of the thermal duality phase transition in each case, confirming that it lies
within the Kosterlitz-Thouless universality class. We show that, in the
presence of Dbranes, and a consequent Yang-Mills gauge sector, the thermal
ensemble of type II strings is infrared stable, with neither tachyons nor
massless scalar tadpoles. Supersymmetry remains unbroken in the oriented closed
string sector, but is broken by thermal effects in the full unoriented open and
closed type I string theory. We identify an order parameter for an unusual
phase transition in the worldvolume gauge theory signalled by the short
distance behavior of the pair correlator of timelike Wilson loops. Note Added
(Sep 2005).
| [
{
"created": "Thu, 15 Jul 2004 18:34:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jul 2004 15:57:36 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Sep 2004 19:59:02 GMT",
"version": "v3"
},
{
"created": "Mon, 13 Sep 2004 19:58:46 GMT",
"version": "v4"
},
{
"created": "Wed, 29 Sep 2004 19:57:42 GMT",
"version": "v5"
},
{
"created": "Thu, 30 Sep 2004 18:33:16 GMT",
"version": "v6"
},
{
"created": "Mon, 12 Sep 2005 19:28:50 GMT",
"version": "v7"
}
] | 2007-05-23 | [
[
"Chaudhuri",
"Shyamoli",
""
]
] | We show that the canonical ensemble in any of the six supersymmetric string theories, type IIA and IIB, type IB and type I', or heterotic E_8 x E_8 and Spin(32)/Z_2, exhibits a strong version of holography: the growth of the number of degrees of freedom in the free energy at high temperatures is identical to that in a two-dimensional quantum field theory. We clarify the precise nature of the thermal duality phase transition in each case, confirming that it lies within the Kosterlitz-Thouless universality class. We show that, in the presence of Dbranes, and a consequent Yang-Mills gauge sector, the thermal ensemble of type II strings is infrared stable, with neither tachyons nor massless scalar tadpoles. Supersymmetry remains unbroken in the oriented closed string sector, but is broken by thermal effects in the full unoriented open and closed type I string theory. We identify an order parameter for an unusual phase transition in the worldvolume gauge theory signalled by the short distance behavior of the pair correlator of timelike Wilson loops. Note Added (Sep 2005). |
2212.12779 | Matteo Maria Maglio | Claudio Corian\`o, Matteo Maria Maglio and Riccardo Tommasi | Four-point functions of gravitons and conserved currents of CFT in
momentum space: testing the nonlocal action with the TTJJ | 58 pages, 7 figures, 6 tables, typos corrected | null | 10.1140/epjc/s10052-023-11472-4 | null | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analysis of the perturbative realization of the $TTJJ$
correlator, with two stress energy tensors and two conserved currents, using
free field theory realizations, integrating out conformal sectors in the
quantum corrections. This allows defining, around flat space, an exact
perturbative expansion of the complete anomaly effective action - up to 4-point
functions - whose predictions can be compared against those of the anomaly
induced action. The latter is a variational solution of the conformal anomaly
constraint at $d=4$ in the form of a nonlocal Wess-Zumino action. The
renormalization procedure and the degeneracies of the tensor structures of this
correlator are discussed, valid for a generic conformal field theory, deriving
its anomalous trace Ward identities (WIs). In this application, we also
illustrate a general procedure that identifies the minimal number of tensorial
structures and corresponding form factors for the $TTJJ$ and any $4$-point
function. The result of the direct computation is compared against the
expression of the same 4-point function derived from the nonlocal anomaly
induced action. We show that the prediction for the anomalous part of the
$TTJJ$ derived from such action, evaluated in two different conformal
decompositions, the Riegert and Fradkin-Vilkovisky (FV) choices, differ from
the anomaly part identified in the perturbative $TTJJ$, in the flat spacetime
limit. The anomaly part of the correlator computed with the Riegert choice is
affected by double poles, while the one computed with the FV choice does not
satisfy the conservation WIs. We present the correct form of the expansion of
the anomaly induced action at the second order in the metric perturbations
around flat space that reproduces the perturbative result.
| [
{
"created": "Sat, 24 Dec 2022 17:00:27 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2023 09:15:36 GMT",
"version": "v2"
}
] | 2023-06-07 | [
[
"Corianò",
"Claudio",
""
],
[
"Maglio",
"Matteo Maria",
""
],
[
"Tommasi",
"Riccardo",
""
]
] | We present an analysis of the perturbative realization of the $TTJJ$ correlator, with two stress energy tensors and two conserved currents, using free field theory realizations, integrating out conformal sectors in the quantum corrections. This allows defining, around flat space, an exact perturbative expansion of the complete anomaly effective action - up to 4-point functions - whose predictions can be compared against those of the anomaly induced action. The latter is a variational solution of the conformal anomaly constraint at $d=4$ in the form of a nonlocal Wess-Zumino action. The renormalization procedure and the degeneracies of the tensor structures of this correlator are discussed, valid for a generic conformal field theory, deriving its anomalous trace Ward identities (WIs). In this application, we also illustrate a general procedure that identifies the minimal number of tensorial structures and corresponding form factors for the $TTJJ$ and any $4$-point function. The result of the direct computation is compared against the expression of the same 4-point function derived from the nonlocal anomaly induced action. We show that the prediction for the anomalous part of the $TTJJ$ derived from such action, evaluated in two different conformal decompositions, the Riegert and Fradkin-Vilkovisky (FV) choices, differ from the anomaly part identified in the perturbative $TTJJ$, in the flat spacetime limit. The anomaly part of the correlator computed with the Riegert choice is affected by double poles, while the one computed with the FV choice does not satisfy the conservation WIs. We present the correct form of the expansion of the anomaly induced action at the second order in the metric perturbations around flat space that reproduces the perturbative result. |
2202.10373 | Stuart Dowker | J.S. Dowker | $C_T$ for monodromy defects of fields on odd dimensional spheres for
higher derivative propagation | 13 pages, 2 figures Minor corrections and additions. Discussion of
the validity of the Perlmutter factor and references added. (This is the
intended version 2) | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | The central charge $C_T$ is computed for scalar and Dirac fields propagating
according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres
in the presence of a spherical monodromy. The relation of $C_T$ to the
derivatives of the free energy on the conically deformed sphere via the
Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with
the monodromy flux, $\delta$, displays sign changes, exactly as in even
dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2
with the derivative order either even or odd and shown to agree with existing,
even $d$ expressions. The infinite $d$ limits are also derived in these special
cases.
| [
{
"created": "Mon, 21 Feb 2022 17:07:42 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 16:56:42 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Mar 2022 16:03:49 GMT",
"version": "v3"
}
] | 2022-03-02 | [
[
"Dowker",
"J. S.",
""
]
] | The central charge $C_T$ is computed for scalar and Dirac fields propagating according to GJMS-type kinetic operators acting on odd $d$-dimensional spheres in the presence of a spherical monodromy. The relation of $C_T$ to the derivatives of the free energy on the conically deformed sphere via the Perlmutter factor leads to a numerical quadrature. The variation of $C_T$ with the monodromy flux, $\delta$, displays sign changes, exactly as in even dimensions. Closed forms for $C_T$ are derived when $\delta$ equals 0 or 1/2 with the derivative order either even or odd and shown to agree with existing, even $d$ expressions. The infinite $d$ limits are also derived in these special cases. |
2108.12557 | Po-Chun Sun | Po-Chun Sun | Entanglement Islands from Holographic Thermalization of Rotating Charged
Black Hole | 16 pages, 5 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the time evolution of the entanglement entropy of Hawking radiation
in the $(n+1)-$dimensional Kerr-Newman black hole evaporation by the
holographic approach that considering the $(n+1)-$dimensional AdS eternal black
brane coupled to the auxiliary CFT reservoir is in the Hartle-Hawking state.
The CFT reservoir itself has a holographic dual, the $(n+2)-$dimensional bulk
geometry, and the original $(n+1)-$dimensional AdS-black brane is embedded into
such bulk manifold, which is precisely Randall-Sundrum model.
According to the island rule [1], the entanglement entropy in semi-classical
gravity can be divided into two parts, one is due to the quantum effects, which
can be obtained by Ryu-Takayanagi conjecture. Another is the gravitational
part, which is equal to the area of the quantum extremal surface divided by
four times the Newton's constant. We show that the entanglement growth in our
holographic system is linear in late times. After Page time, the system reaches
saturation since the entanglement islands appear. In this paper, we will
emphasize how black hole rotation affects entanglement entropy in general
dimensional spacetime.
| [
{
"created": "Sat, 28 Aug 2021 02:46:20 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2021 04:21:06 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Sep 2022 06:07:25 GMT",
"version": "v3"
}
] | 2022-09-13 | [
[
"Sun",
"Po-Chun",
""
]
] | We study the time evolution of the entanglement entropy of Hawking radiation in the $(n+1)-$dimensional Kerr-Newman black hole evaporation by the holographic approach that considering the $(n+1)-$dimensional AdS eternal black brane coupled to the auxiliary CFT reservoir is in the Hartle-Hawking state. The CFT reservoir itself has a holographic dual, the $(n+2)-$dimensional bulk geometry, and the original $(n+1)-$dimensional AdS-black brane is embedded into such bulk manifold, which is precisely Randall-Sundrum model. According to the island rule [1], the entanglement entropy in semi-classical gravity can be divided into two parts, one is due to the quantum effects, which can be obtained by Ryu-Takayanagi conjecture. Another is the gravitational part, which is equal to the area of the quantum extremal surface divided by four times the Newton's constant. We show that the entanglement growth in our holographic system is linear in late times. After Page time, the system reaches saturation since the entanglement islands appear. In this paper, we will emphasize how black hole rotation affects entanglement entropy in general dimensional spacetime. |
1702.03217 | Thomas Grimm | Sebastian Greiner and Thomas W. Grimm | Three-form periods on Calabi-Yau fourfolds: Toric hypersurfaces and
F-theory applications | 49 pages, 2 figures, v2: JHEP version, typos corrected, technical
details moved to appendix | null | 10.1007/JHEP05(2017)151 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of the geometry of Calabi-Yau fourfolds is relevant for
compactifications of string theory, M-theory, and F-theory to various
dimensions. This work introduces the mathematical machinery to derive the
complete moduli dependence of the periods of non-trivial three-forms for
fourfolds realized as hypersurfaces in toric ambient spaces. It sets the stage
to determine Picard-Fuchs-type differential equations and integral expressions
for these forms. The key tool is the observation that non-trivial three-forms
on hypersurfaces in toric ambient spaces always stem from divisors that are
build out of toric resolution trees fibered over Riemann surfaces. The
three-form periods are then non-trivially related to the one-form periods of
these surfaces. In general, the three-form periods are known to vary
holomorphically over the complex structure moduli space and play an important
role in the effective actions arising in fourfold compactifications. We discuss
two explicit example fourfolds for F-theory compactifications in which the
three-form periods determine axion decay constants.
| [
{
"created": "Fri, 10 Feb 2017 15:26:19 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2017 17:11:35 GMT",
"version": "v2"
}
] | 2017-11-01 | [
[
"Greiner",
"Sebastian",
""
],
[
"Grimm",
"Thomas W.",
""
]
] | The study of the geometry of Calabi-Yau fourfolds is relevant for compactifications of string theory, M-theory, and F-theory to various dimensions. This work introduces the mathematical machinery to derive the complete moduli dependence of the periods of non-trivial three-forms for fourfolds realized as hypersurfaces in toric ambient spaces. It sets the stage to determine Picard-Fuchs-type differential equations and integral expressions for these forms. The key tool is the observation that non-trivial three-forms on hypersurfaces in toric ambient spaces always stem from divisors that are build out of toric resolution trees fibered over Riemann surfaces. The three-form periods are then non-trivially related to the one-form periods of these surfaces. In general, the three-form periods are known to vary holomorphically over the complex structure moduli space and play an important role in the effective actions arising in fourfold compactifications. We discuss two explicit example fourfolds for F-theory compactifications in which the three-form periods determine axion decay constants. |
hep-th/9707200 | Kiyoshi Ezawa | K. Ezawa, Y. Matsuo and K. Murakami | Matrix Regularization of an Open Supermembrane ---towards M-theory
five-branes via open supermembranes --- | 30 pages, Latex, references and Appendix E added, some minor changes
made | Phys.Rev. D57 (1998) 5118-5133 | 10.1103/PhysRevD.57.5118 | UT-783, YITP-97-37 | hep-th | null | We study open supermembranes in 11 dimensional rigid superspace with 6
dimensional topological defects (M-theory five-branes). After rederiving in the
Green-Schwarz formalism the boundary conditions for open superstrings in the
type IIA theory, we determine the boundary conditions for open supermembranes
by imposing kappa symmetry and invariance under a fraction of 11 dimensional
supersymmetry. The result seems to imply the self-duality of the three-form
field strength on the five-brane world volume. We show that the light-cone
gauge formulation is regularized by a dimensional reduction of a 6 dimensional
N=1 super Yang-Mills theory with the gauge group SO(N\to\infty). We also
analyze the SUSY algebra and BPS states in the light-cone gauge.
| [
{
"created": "Thu, 24 Jul 1997 02:40:49 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 1997 10:53:18 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Nov 1997 09:13:42 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Ezawa",
"K.",
""
],
[
"Matsuo",
"Y.",
""
],
[
"Murakami",
"K.",
""
]
] | We study open supermembranes in 11 dimensional rigid superspace with 6 dimensional topological defects (M-theory five-branes). After rederiving in the Green-Schwarz formalism the boundary conditions for open superstrings in the type IIA theory, we determine the boundary conditions for open supermembranes by imposing kappa symmetry and invariance under a fraction of 11 dimensional supersymmetry. The result seems to imply the self-duality of the three-form field strength on the five-brane world volume. We show that the light-cone gauge formulation is regularized by a dimensional reduction of a 6 dimensional N=1 super Yang-Mills theory with the gauge group SO(N\to\infty). We also analyze the SUSY algebra and BPS states in the light-cone gauge. |
hep-th/0303075 | Igor Bandos | Igor A. Bandos, Bernard Julia | Superfield T-duality rules | 24 pages, latex, no figures. V2 misprints corrected. V3. One
reference ([30]) and a comment on it ('Notice added') on p. 19 added | JHEP 0308 (2003) 032 | 10.1088/1126-6708/2003/08/032 | FTUV/03-0308 | hep-th | null | A geometric treatment of T-duality as an operation which acts on differential
forms in superspace allows us to derive the complete set of T-duality
transformation rules which relate the superfield potentials of D=10 type IIA
supergravity with those of type IIB supergravity including Ramond-Ramond
superfield potentials and fermionic supervielbeins. We show that these rules
are consistent with the superspace supergravity constraints.
| [
{
"created": "Sun, 9 Mar 2003 19:50:55 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2003 09:21:02 GMT",
"version": "v2"
},
{
"created": "Sat, 10 Jan 2004 15:55:00 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Bandos",
"Igor A.",
""
],
[
"Julia",
"Bernard",
""
]
] | A geometric treatment of T-duality as an operation which acts on differential forms in superspace allows us to derive the complete set of T-duality transformation rules which relate the superfield potentials of D=10 type IIA supergravity with those of type IIB supergravity including Ramond-Ramond superfield potentials and fermionic supervielbeins. We show that these rules are consistent with the superspace supergravity constraints. |
hep-th/9512190 | Guillermo Palma | G.Palma and L.Vergara | Numerical Computation of the Effective Potential and Renormalization | 8 pages, LATEX, 2 postscript figures available. e-mail :
gpalma@lauca.usach.cl , submitted to Mod. Phys. Letter A | Mod.Phys.Lett. A11 (1996) 281-288; Erratum-ibid. A11 (1996) 1199 | 10.1142/S0217732396000321 | null | hep-th hep-lat | null | We present a novel way to compute the one-loop ring-improved effective
potential numerically, which avoids the spurious appearence of complex
expressions and at the same time is free from the renormalization ambiguities
of the self-consistent approaches, based on the direct application of
Schwinger-Dyson type equations to the masses.
| [
{
"created": "Fri, 22 Dec 1995 19:36:38 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Palma",
"G.",
""
],
[
"Vergara",
"L.",
""
]
] | We present a novel way to compute the one-loop ring-improved effective potential numerically, which avoids the spurious appearence of complex expressions and at the same time is free from the renormalization ambiguities of the self-consistent approaches, based on the direct application of Schwinger-Dyson type equations to the masses. |
hep-th/0108100 | Gregory Moore | Juan Maldacena, Gregory Moore, Nathan Seiberg | D-Brane Instantons and K-Theory Charges | 44 pages, harvmac, b-mode | JHEP 0111:062,2001 | 10.1088/1126-6708/2001/11/062 | RUNHETC-2001-24 | hep-th | null | We discuss some physical issues related to the K-theoretic classification of
D-brane charges, putting an emphasis on the role of D-brane instantons. The
relation to D-instantons provides a physical interpretation to the mathematical
algorithm for computing K-theory known as the ``Atiyah-Hirzebruch spectral
sequence.'' Conjecturally, a formulation in terms of D-instantons leads to a
computationally useful formulation of K-homology in general. As an application
and illustration of this viewpoint we discuss some issues connected with
D-brane charges associated with branes in WZW models. We discuss the case of
SU(3) in detail, and comment on the general picture of branes in SU(N), based
on a recent result of M. Hopkins.
| [
{
"created": "Tue, 14 Aug 2001 15:23:41 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Maldacena",
"Juan",
""
],
[
"Moore",
"Gregory",
""
],
[
"Seiberg",
"Nathan",
""
]
] | We discuss some physical issues related to the K-theoretic classification of D-brane charges, putting an emphasis on the role of D-brane instantons. The relation to D-instantons provides a physical interpretation to the mathematical algorithm for computing K-theory known as the ``Atiyah-Hirzebruch spectral sequence.'' Conjecturally, a formulation in terms of D-instantons leads to a computationally useful formulation of K-homology in general. As an application and illustration of this viewpoint we discuss some issues connected with D-brane charges associated with branes in WZW models. We discuss the case of SU(3) in detail, and comment on the general picture of branes in SU(N), based on a recent result of M. Hopkins. |
hep-th/0303237 | Shijong Ryang | Shijong Ryang | Rotating and Orbiting Strings in the Near-Horizon Brane Backgrounds | 15 pages, LaTeX, no figures | JHEP 0304 (2003) 045 | 10.1088/1126-6708/2003/04/045 | null | hep-th | null | Using the Schwarzschild-type coordinates in stead of the global ones we
reconstruct the classical rotating closed string solutions in the AdS*5 x S*5
backgrounds. They are explicitly described by the Jacobi elliptic and
trigonometrical functions of worldsheet coordinates. We study the orbiting
closed string configurations in the near-horizon geometries of Dp, NS1 and NS5
branes, and derive the energy and spin of them, whose relation takes a simple
form for short strings. Specially in the D5 and NS5 backgrounds we have a
linear relation that the energy of the point-like string is proportional to the
spin, which is associated with the spectrum of strings in the pp-wave
geometries obtained by taking a special Penrose limit on the D5 and NS5
backgrounds.
| [
{
"created": "Thu, 27 Mar 2003 02:26:35 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Ryang",
"Shijong",
""
]
] | Using the Schwarzschild-type coordinates in stead of the global ones we reconstruct the classical rotating closed string solutions in the AdS*5 x S*5 backgrounds. They are explicitly described by the Jacobi elliptic and trigonometrical functions of worldsheet coordinates. We study the orbiting closed string configurations in the near-horizon geometries of Dp, NS1 and NS5 branes, and derive the energy and spin of them, whose relation takes a simple form for short strings. Specially in the D5 and NS5 backgrounds we have a linear relation that the energy of the point-like string is proportional to the spin, which is associated with the spectrum of strings in the pp-wave geometries obtained by taking a special Penrose limit on the D5 and NS5 backgrounds. |
1211.0035 | Stefanos Katmadas | Kiril Hristov, Stefanos Katmadas, Valentina Pozzoli | Ungauging black holes and hidden supercharges | 33 pages, 1 figure, v2: Corrections in section 5, comments added,
references updated | null | 10.1007/JHEP01(2013)110 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We embed the general solution for non-BPS extremal asymptotically flat static
and under-rotating black holes in abelian gauged D=4 N=2 supergravity, in the
limit where the scalar potential vanishes but the gauging does not. Using this
result, we show explicitly that some supersymmetries are preserved in the near
horizon region of all the asymptotically flat solutions above, in the gauged
theory. This reveals a deep relation between microscopic entropy counting of
extremal black holes in Minkowski and BPS black holes in AdS. Finally, we
discuss the relevance of this construction to the structure of asymptotically
AdS4 black holes, as well as the possibility of including hypermultiplets.
| [
{
"created": "Wed, 31 Oct 2012 21:33:04 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2012 20:20:15 GMT",
"version": "v2"
}
] | 2015-06-12 | [
[
"Hristov",
"Kiril",
""
],
[
"Katmadas",
"Stefanos",
""
],
[
"Pozzoli",
"Valentina",
""
]
] | We embed the general solution for non-BPS extremal asymptotically flat static and under-rotating black holes in abelian gauged D=4 N=2 supergravity, in the limit where the scalar potential vanishes but the gauging does not. Using this result, we show explicitly that some supersymmetries are preserved in the near horizon region of all the asymptotically flat solutions above, in the gauged theory. This reveals a deep relation between microscopic entropy counting of extremal black holes in Minkowski and BPS black holes in AdS. Finally, we discuss the relevance of this construction to the structure of asymptotically AdS4 black holes, as well as the possibility of including hypermultiplets. |
0802.3765 | Cem Yuce | Cem Yuce, Zalihe Ozcakmakli | Dynamical Casimir Effect for Two Oscillating Mirrors in 3-D | 11 pqges | J.Phys.A41:265401,2008 | 10.1088/1751-8113/41/26/265401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The generation of photons in a three dimensional rectangular cavity with two
moving boundaries is studied by using the Multiple Scale Analysis (MSA). It is
shown that number of photons are enhanced for the cavity whose walls oscillate
symmetrically with respect to the center of the cavity. The non-stationary
Casimir effect is also discussed for the cavity which oscillates as a whole.
| [
{
"created": "Tue, 26 Feb 2008 08:13:37 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Yuce",
"Cem",
""
],
[
"Ozcakmakli",
"Zalihe",
""
]
] | The generation of photons in a three dimensional rectangular cavity with two moving boundaries is studied by using the Multiple Scale Analysis (MSA). It is shown that number of photons are enhanced for the cavity whose walls oscillate symmetrically with respect to the center of the cavity. The non-stationary Casimir effect is also discussed for the cavity which oscillates as a whole. |
2312.13142 | Ali Alavi | S.A. Alavi, T. Fallahi Serish | Neutrino spin oscillations in gravitational fields in noncommutative
higher dimensions | 29 pages, 19 Figures, 1 table | null | null | null | hep-th astro-ph.HE gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | Investigation of neutrino spin oscillation in the gravitational fields of
black holes(BH) is one of the interesting topics in neutrino physics. On the
other hand, in recent years, many studies have been devoted to the exploration
of different physical phenomena in higher dimensions. Noncommutative geometry
has also been in the focus of researchers in the past years to explore deeper
and more accurate the structure of space time. In this work, the neutrino spin
oscillation in the noncommutative higher dimensions gravitational fields of
Schwarzschild and Reissner-Nordstrom metrics are studied. The effects of
noncommutativity of space are calculated and its role in different dimensions
are discussed. Finally upper bounds on noncommutativity parameter are obtained.
| [
{
"created": "Wed, 20 Dec 2023 16:02:42 GMT",
"version": "v1"
}
] | 2023-12-21 | [
[
"Alavi",
"S. A.",
""
],
[
"Serish",
"T. Fallahi",
""
]
] | Investigation of neutrino spin oscillation in the gravitational fields of black holes(BH) is one of the interesting topics in neutrino physics. On the other hand, in recent years, many studies have been devoted to the exploration of different physical phenomena in higher dimensions. Noncommutative geometry has also been in the focus of researchers in the past years to explore deeper and more accurate the structure of space time. In this work, the neutrino spin oscillation in the noncommutative higher dimensions gravitational fields of Schwarzschild and Reissner-Nordstrom metrics are studied. The effects of noncommutativity of space are calculated and its role in different dimensions are discussed. Finally upper bounds on noncommutativity parameter are obtained. |
hep-th/9604033 | null | Jens Hoppe | Multilinear Evolution Equations for Time-Harmonic Flows | 9 pages LATEX | Class.Quant.Grav.13:L87-L93,1996 | 10.1088/0264-9381/13/7/001 | null | hep-th | null | It is shown that time-harmonic hypersurface motions in various, conformally
flat, N-dimensional manifolds admit a multilinear description, dL/dt={ L, M_1,
... , M_{N-2} }, automatically generating infinitely many conserved quantities,
as well as leading to new (integrable) matrix equations. Interestingly, the
conformal factor can be changed without changing L.
| [
{
"created": "Sun, 7 Apr 1996 15:48:45 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Hoppe",
"Jens",
""
]
] | It is shown that time-harmonic hypersurface motions in various, conformally flat, N-dimensional manifolds admit a multilinear description, dL/dt={ L, M_1, ... , M_{N-2} }, automatically generating infinitely many conserved quantities, as well as leading to new (integrable) matrix equations. Interestingly, the conformal factor can be changed without changing L. |
hep-th/9511038 | Thompson George | George Thompson (ICTP, Trieste, Italy) | New Results in Topological Field Theory and Abelian Gauge Theory | 57 pages; hard copies of figures are available on request from
"grilli@ictp.trieste.it" | null | null | IC/95/339 | hep-th | null | These are the lecture notes of a set of lectures delivered at the 1995
Trieste summer school in June. I review some recent work on duality in four
dimensional Maxwell theory on arbitrary four manifolds, as well as a new set of
topological invariants known as the Seiberg-Witten invariants. Much of the
necessary background material is given, including a crash course in topological
field theory, cohomology of manifolds, topological gauge theory and the
rudiments of four manifold theory. My main hope is to wet the readers appetite,
so that he or she will wish to read the original works and perhaps to enter
this field.
| [
{
"created": "Mon, 6 Nov 1995 16:26:36 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Thompson",
"George",
"",
"ICTP, Trieste, Italy"
]
] | These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. I review some recent work on duality in four dimensional Maxwell theory on arbitrary four manifolds, as well as a new set of topological invariants known as the Seiberg-Witten invariants. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory. My main hope is to wet the readers appetite, so that he or she will wish to read the original works and perhaps to enter this field. |
1803.04748 | Diego Bombardelli | Diego Bombardelli, Andrea Cavagli\`a, Riccardo Conti and Roberto Tateo | Exploring the spectrum of planar $AdS_4/CFT_3$ at finite coupling | 42 pages, 11 figures, Mathematica notebooks and data files containing
numerical results are attached; v2: published version | null | 10.1007/JHEP04(2018)117 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Quantum Spectral Curve (QSC) equations for planar $\mathcal{N}=6$
super-conformal Chern-Simons (SCS) are solved numerically at finite values of
the coupling constant for states in the $\mathfrak{sl}(2|1)$ sector. New weak
coupling results for conformal dimensions of operators outside the
$\mathfrak{sl}(2)$-like sector are obtained by adapting a recently proposed
algorithm for the QSC perturbative solution. Besides being interesting in their
own right, these perturbative results are necessary initial inputs for the
numerical algorithm to converge on the correct solution. The non-perturbative
numerical outcomes nicely interpolate between the weak coupling and the known
semiclassical expansions, and novel strong coupling exact results are deduced
from the numerics. Finally, the existence of contour crossing singularities in
the TBA equations for the operator $\textbf{20}$ is ruled out by our analysis.
The results of this paper are an important test of the QSC formalism for this
model, open the way to new quantitative studies and provide further evidence in
favour of the conjectured weak/strong coupling duality between $\mathcal{N}=6$
SCS and type IIA superstring theory on $AdS_4 \times CP^3$. Attached to the
arXiv submission, a Mathematica implementation of the numerical method and
ancillary files containing the numerical results are provided.
| [
{
"created": "Tue, 13 Mar 2018 12:29:24 GMT",
"version": "v1"
},
{
"created": "Mon, 14 May 2018 15:39:17 GMT",
"version": "v2"
}
] | 2018-05-23 | [
[
"Bombardelli",
"Diego",
""
],
[
"Cavaglià",
"Andrea",
""
],
[
"Conti",
"Riccardo",
""
],
[
"Tateo",
"Roberto",
""
]
] | The Quantum Spectral Curve (QSC) equations for planar $\mathcal{N}=6$ super-conformal Chern-Simons (SCS) are solved numerically at finite values of the coupling constant for states in the $\mathfrak{sl}(2|1)$ sector. New weak coupling results for conformal dimensions of operators outside the $\mathfrak{sl}(2)$-like sector are obtained by adapting a recently proposed algorithm for the QSC perturbative solution. Besides being interesting in their own right, these perturbative results are necessary initial inputs for the numerical algorithm to converge on the correct solution. The non-perturbative numerical outcomes nicely interpolate between the weak coupling and the known semiclassical expansions, and novel strong coupling exact results are deduced from the numerics. Finally, the existence of contour crossing singularities in the TBA equations for the operator $\textbf{20}$ is ruled out by our analysis. The results of this paper are an important test of the QSC formalism for this model, open the way to new quantitative studies and provide further evidence in favour of the conjectured weak/strong coupling duality between $\mathcal{N}=6$ SCS and type IIA superstring theory on $AdS_4 \times CP^3$. Attached to the arXiv submission, a Mathematica implementation of the numerical method and ancillary files containing the numerical results are provided. |
hep-th/9712139 | null | J. M. F. Labastida and Esther Perez | Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge
Theory | 44 pages, latex, 16 figures | Nucl.Phys. B527 (1998) 499-530 | 10.1016/S0550-3213(98)00371-X | null | hep-th math.QA q-alg | null | We construct gauge invariant operators for singular knots in the context of
Chern-Simons gauge theory. These new operators provide polynomial invariants
and Vassiliev invariants for singular knots. As an application we present the
form of the Kontsevich integral for the case of singular knots.
| [
{
"created": "Mon, 15 Dec 1997 14:19:50 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Labastida",
"J. M. F.",
""
],
[
"Perez",
"Esther",
""
]
] | We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots. As an application we present the form of the Kontsevich integral for the case of singular knots. |
2403.18914 | Fran\c{c}ois Rondeau | Fran\c{c}ois Rondeau | Holographic description of closed FRW cosmologies and time-dependent
ER=EPR | 24 pages, 18 figures. Contribution to the proceedings for Corfu
Summer Institute 2023 "School and Workshops on Elementary Particle Physics
and Gravity" (CORFU2023) 23 April - 6 May, and 27 August - 1 October, 2023,
Corfu, Greece. arXiv admin note: text overlap with arXiv:2310.20652 | null | null | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We build a covariant holographic entanglement entropy prescription for a
class of closed FRW cosmologies, generalizing a recent holographic proposal in
de Sitter space. Starting from the Bousso covariant entropy bound, we describe
the location of two holographic screens associated with a pair of antipodal
observers, and then state our holographic proposal. We then apply our
prescription to compute the entanglement entropy of the two-screen and the
single screen systems, focusing on the leading classical contributions of order
$(G\hbar)^{-1}$. First, we show how the full spacetime is expected to be
holographically encoded on the two screens. Second, we argue that the exterior
region between the two screens behaves as an Einstein-Rosen bridge, arising
from the entanglement between the holographic degrees of freedom as suggested
by the ER=EPR conjecture. The entanglement between the two screens, or from the
geometric point of view the area of the minimal extremal surface, varies during
the cosmological evolution, hence entailing a time-dependent ER=EPR
realization.
| [
{
"created": "Wed, 27 Mar 2024 18:06:57 GMT",
"version": "v1"
}
] | 2024-03-29 | [
[
"Rondeau",
"François",
""
]
] | We build a covariant holographic entanglement entropy prescription for a class of closed FRW cosmologies, generalizing a recent holographic proposal in de Sitter space. Starting from the Bousso covariant entropy bound, we describe the location of two holographic screens associated with a pair of antipodal observers, and then state our holographic proposal. We then apply our prescription to compute the entanglement entropy of the two-screen and the single screen systems, focusing on the leading classical contributions of order $(G\hbar)^{-1}$. First, we show how the full spacetime is expected to be holographically encoded on the two screens. Second, we argue that the exterior region between the two screens behaves as an Einstein-Rosen bridge, arising from the entanglement between the holographic degrees of freedom as suggested by the ER=EPR conjecture. The entanglement between the two screens, or from the geometric point of view the area of the minimal extremal surface, varies during the cosmological evolution, hence entailing a time-dependent ER=EPR realization. |
0801.4521 | Francois Delduc | F. Delduc, E. Ivanov | Gauging isometries in N=4 supersymmetric mechanics | 10 pages, Talk at the International Workshop SQS'07, July 30 - August
4, 2007, Dubna, Russia | null | null | null | hep-th | null | This talk summarizes the study of superfield gaugings of isometries of
extended supersymmetric mechanics in hep-th/0605211, hep-th/0611247 and
arXiv:0706.0706. The gauging procedure provides a manifestly supersymmetric
realization of d=1 automorphic dualities which interrelate various irreducible
off-shell multiplets of d=1 extended supersymmetry featuring the same number of
physical fermions but different divisions of bosonic fields into the physical
and auxiliary subsets. We concentrate on the most interesting N=4 case and
demonstrate that, with a suitable choice of the symmetry to be gauged, all such
multiplets of N=4 supersymmetric mechanics and their generic superfield actions
can be obtained from the "root" multiplet (4,4,0) and the appropriate gauged
subclasses of the generic superfield action of the latter by a simple universal
recipe.
| [
{
"created": "Tue, 29 Jan 2008 15:44:14 GMT",
"version": "v1"
}
] | 2008-01-30 | [
[
"Delduc",
"F.",
""
],
[
"Ivanov",
"E.",
""
]
] | This talk summarizes the study of superfield gaugings of isometries of extended supersymmetric mechanics in hep-th/0605211, hep-th/0611247 and arXiv:0706.0706. The gauging procedure provides a manifestly supersymmetric realization of d=1 automorphic dualities which interrelate various irreducible off-shell multiplets of d=1 extended supersymmetry featuring the same number of physical fermions but different divisions of bosonic fields into the physical and auxiliary subsets. We concentrate on the most interesting N=4 case and demonstrate that, with a suitable choice of the symmetry to be gauged, all such multiplets of N=4 supersymmetric mechanics and their generic superfield actions can be obtained from the "root" multiplet (4,4,0) and the appropriate gauged subclasses of the generic superfield action of the latter by a simple universal recipe. |
2206.07001 | Arvin Shahbazi-Moghaddam | Raphael Bousso, Arvin Shahbazi-Moghaddam | Quantum Singularities | 22 pages, 7 figures, some minor corrections | null | 10.1103/PhysRevD.107.066002 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy
satisfies $S_{\text{gen}}^{B\cup R}<S_{\text{gen}}^R$. If in addition all
future (or all past) directed inward null shape deformations of $B$ decrease
$S_{\text{gen}}^{B\cup R}$, then we show that the causal development of $B$,
with $R$ held fixed, must be incomplete. This result eliminates the Null Energy
Condition from the assumptions of a recently proven singularity theorem.
Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain
the Hawking radiation after the Page time, our theorem predicts a singularity
in the past causal development of the black hole interior. This is surprising
because the classical spacetime is nonsingular in the past. However, one finds
that Cauchy slices that are required to contain $R$ do not remain in the
semiclassical regime. The quantum singularities predicted by our theorem are an
obstruction to further semiclassical evolution, generalizing the singularities
of classical general relativity.
| [
{
"created": "Tue, 14 Jun 2022 17:15:39 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2022 17:27:54 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2023 07:07:36 GMT",
"version": "v3"
}
] | 2023-03-30 | [
[
"Bousso",
"Raphael",
""
],
[
"Shahbazi-Moghaddam",
"Arvin",
""
]
] | Two spatial regions $B$ and $R$ are hyperentangled if the generalized entropy satisfies $S_{\text{gen}}^{B\cup R}<S_{\text{gen}}^R$. If in addition all future (or all past) directed inward null shape deformations of $B$ decrease $S_{\text{gen}}^{B\cup R}$, then we show that the causal development of $B$, with $R$ held fixed, must be incomplete. This result eliminates the Null Energy Condition from the assumptions of a recently proven singularity theorem. Instead, we assume a quantum version of the Bousso bound. Taking $R$ to contain the Hawking radiation after the Page time, our theorem predicts a singularity in the past causal development of the black hole interior. This is surprising because the classical spacetime is nonsingular in the past. However, one finds that Cauchy slices that are required to contain $R$ do not remain in the semiclassical regime. The quantum singularities predicted by our theorem are an obstruction to further semiclassical evolution, generalizing the singularities of classical general relativity. |
2008.01112 | Arkady Tseytlin | Ben Hoare, Nat Levine, Arkady A. Tseytlin | Sigma models with local couplings: a new integrability -- RG flow
connection | 31 pages. v2: comments on earlier related work; v3: references added | null | 10.1007/JHEP11(2020)020 | Imperial-TP-NL-2020-1 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider several classes of $\sigma$-models (on groups and symmetric
spaces, $\eta$-models, $\lambda$-models) with local couplings that may depend
on the 2d coordinates, e.g. on time $\tau$. We observe that (i) starting with a
classically integrable 2d $\sigma$-model, (ii) formally promoting its couplings
$h_\alpha$ to functions $h_\alpha(\tau)$ of 2d time, and (iii) demanding that
the resulting time-dependent model also admits a Lax connection implies that
$h_\alpha(\tau)$ must solve the 1-loop RG equations of the original theory with
$\tau$ interpreted as RG time. This provides a novel example of an
'integrability - RG flow' connection. The existence of a Lax connection
suggests that these time-dependent $\sigma$-models may themselves be understood
as integrable. We investigate this question by studying the possibility of
constructing non-local and local conserved charges. Such $\sigma$-models with
$D$-dimensional target space and time-dependent couplings subject to the RG
flow naturally appear in string theory upon fixing the light-cone gauge in a
$(D+2)$-dimensional conformal $\sigma$-model with a metric admitting a
covariantly constant null Killing vector and a dilaton linear in the null
coordinate.
| [
{
"created": "Mon, 3 Aug 2020 18:03:29 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2020 12:00:02 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Nov 2020 11:21:06 GMT",
"version": "v3"
}
] | 2020-12-02 | [
[
"Hoare",
"Ben",
""
],
[
"Levine",
"Nat",
""
],
[
"Tseytlin",
"Arkady A.",
""
]
] | We consider several classes of $\sigma$-models (on groups and symmetric spaces, $\eta$-models, $\lambda$-models) with local couplings that may depend on the 2d coordinates, e.g. on time $\tau$. We observe that (i) starting with a classically integrable 2d $\sigma$-model, (ii) formally promoting its couplings $h_\alpha$ to functions $h_\alpha(\tau)$ of 2d time, and (iii) demanding that the resulting time-dependent model also admits a Lax connection implies that $h_\alpha(\tau)$ must solve the 1-loop RG equations of the original theory with $\tau$ interpreted as RG time. This provides a novel example of an 'integrability - RG flow' connection. The existence of a Lax connection suggests that these time-dependent $\sigma$-models may themselves be understood as integrable. We investigate this question by studying the possibility of constructing non-local and local conserved charges. Such $\sigma$-models with $D$-dimensional target space and time-dependent couplings subject to the RG flow naturally appear in string theory upon fixing the light-cone gauge in a $(D+2)$-dimensional conformal $\sigma$-model with a metric admitting a covariantly constant null Killing vector and a dilaton linear in the null coordinate. |
hep-th/0301109 | Jorge Russo | Roberto Iengo and Jorge G. Russo | Semiclassical decay of strings with maximum angular momentum | 18 pages, latex, 7 figures | JHEP 0303:030,2003 | 10.1088/1126-6708/2003/03/030 | null | hep-th | null | We study the classical breaking of a highly excited (closed or open) string
state on the leading Regge trajectory, represented by a rotating soliton
solution, and we find the resulting solutions for the outgoing two pieces,
describing two specific excited string states. This classical picture
reproduces very accurately the precise analytical relation of the masses $M_1$
and $M_2$ of the decay products found in a previous quantum computation. The
decay rate is naturally described in terms of a semiclassical formula. We also
point out some interesting features of the evolution after the splitting
process.
| [
{
"created": "Thu, 16 Jan 2003 11:05:27 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Oct 2003 15:07:12 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Iengo",
"Roberto",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We study the classical breaking of a highly excited (closed or open) string state on the leading Regge trajectory, represented by a rotating soliton solution, and we find the resulting solutions for the outgoing two pieces, describing two specific excited string states. This classical picture reproduces very accurately the precise analytical relation of the masses $M_1$ and $M_2$ of the decay products found in a previous quantum computation. The decay rate is naturally described in terms of a semiclassical formula. We also point out some interesting features of the evolution after the splitting process. |
0801.1315 | Tirthabir Biswas | Tirthabir Biswas | Emergence of a Cyclic Universe from the Hagedorn Soup | replaced with a shorter version which received ``Honorable Mention''
in the Gravity essay competition, details can be found in arXiv:0812.3182 | null | null | IGC-08/1-2 | hep-th astro-ph gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | One of the challenges of constructing a successful cyclic universe scenario
is to be able to incorporate the second law of thermodynamics which typically
leads to Tolman's problem of ever shrinking cycles. In this paper we construct
a non-singular toy model where as the cycles shrink in the past they also spend
more and more time in the entropy conserving Hagedorn phase. Thus in such a
scenario the entropy asymptotes to a finite non-zero constant in the infinite
past. The universe ``emerges'' from a small (string size) geodesically complete
quasi-periodic space-time. This paradigm also naturally addresses some of the
classic puzzles of Big Bang cosmology, such as the largeness, horizon and
flatness problems.
| [
{
"created": "Tue, 8 Jan 2008 20:31:09 GMT",
"version": "v1"
},
{
"created": "Sat, 1 Mar 2008 21:27:37 GMT",
"version": "v2"
},
{
"created": "Fri, 31 Jul 2009 01:15:24 GMT",
"version": "v3"
}
] | 2009-07-31 | [
[
"Biswas",
"Tirthabir",
""
]
] | One of the challenges of constructing a successful cyclic universe scenario is to be able to incorporate the second law of thermodynamics which typically leads to Tolman's problem of ever shrinking cycles. In this paper we construct a non-singular toy model where as the cycles shrink in the past they also spend more and more time in the entropy conserving Hagedorn phase. Thus in such a scenario the entropy asymptotes to a finite non-zero constant in the infinite past. The universe ``emerges'' from a small (string size) geodesically complete quasi-periodic space-time. This paradigm also naturally addresses some of the classic puzzles of Big Bang cosmology, such as the largeness, horizon and flatness problems. |
hep-th/0007153 | Barton Zwiebach | Ashoke Sen and Barton Zwiebach | Large Marginal Deformations in String Field Theory | 34 pages, 4 figures, LaTeX | JHEP 0010:009,2000 | 10.1088/1126-6708/2000/10/009 | MRI-P-000703, CTP-MIT-3002 | hep-th | null | We use the level truncation scheme to obtain accurate descriptions of open
bosonic string field configurations corresponding to large marginal
deformations such as background Wilson lines. To do so, we solve for all fields
as functions of the massless string field, and confirm that the effective
potential of the massless field becomes increasingly flat as the level of
approximation is increased. Surprisingly, as a result of the merging of two
branches of the solution - one originating at zero tachyon vev and the other
originating at the tachyonic vacuum - this effective potential exists only for
a finite range of values of the massless field. We use the D1 to D0 brane
marginal transition on a circle to explore the possibility that this finite
range corresponds to the infinite range of the conformal field theory parameter
describing marginal deformations, but are unable to arrive at a definitive
conclusion.
| [
{
"created": "Wed, 19 Jul 2000 15:00:09 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Sen",
"Ashoke",
""
],
[
"Zwiebach",
"Barton",
""
]
] | We use the level truncation scheme to obtain accurate descriptions of open bosonic string field configurations corresponding to large marginal deformations such as background Wilson lines. To do so, we solve for all fields as functions of the massless string field, and confirm that the effective potential of the massless field becomes increasingly flat as the level of approximation is increased. Surprisingly, as a result of the merging of two branches of the solution - one originating at zero tachyon vev and the other originating at the tachyonic vacuum - this effective potential exists only for a finite range of values of the massless field. We use the D1 to D0 brane marginal transition on a circle to explore the possibility that this finite range corresponds to the infinite range of the conformal field theory parameter describing marginal deformations, but are unable to arrive at a definitive conclusion. |
hep-th/9607156 | null | Paolo Cea and Luigi Tedesco | Perturbation Theory with a Variational Basis: the Generalized Gaussian
Effective Potential | RevTex, 49 pages, 16 eps figures | Phys.Rev.D55:4967-4989,1997 | 10.1103/PhysRevD.55.4967 | Bari-Th 225/96 | hep-th hep-ph | null | The perturbation theory with a variational basis is constructed and
analyzed.The generalized Gaussian effective potential is introduced and
evaluated up to the second order for selfinteracting scalar fields in one and
two spatial dimensions. The problem of the renormalization of the mass is
discussed in details. Thermal corrections are incorporated. The comparison
between the finite temperature generalized Gaussian effective potential and the
finite temperature effective potential is critically analyzed. The phenomenon
of the restoration at high temperature of the symmetry broken at zero
temperature is discussed.
| [
{
"created": "Thu, 18 Jul 1996 12:42:12 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Cea",
"Paolo",
""
],
[
"Tedesco",
"Luigi",
""
]
] | The perturbation theory with a variational basis is constructed and analyzed.The generalized Gaussian effective potential is introduced and evaluated up to the second order for selfinteracting scalar fields in one and two spatial dimensions. The problem of the renormalization of the mass is discussed in details. Thermal corrections are incorporated. The comparison between the finite temperature generalized Gaussian effective potential and the finite temperature effective potential is critically analyzed. The phenomenon of the restoration at high temperature of the symmetry broken at zero temperature is discussed. |
2001.04991 | Christian Northe | Johanna Erdmenger, Charles Melby-Thompson and Christian Northe | Holographic RG Flows for Kondo-like Impurities | 61 pages, 7 figures, Minor clarifications, Final version | null | 10.1007/JHEP05(2020)075 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Boundary, defect, and interface RG flows, as exemplified by the famous Kondo
model, play a significant role in the theory of quantum fields. We study in
detail the holographic dual of a non-conformal supersymmetric impurity in the
D1/D5 CFT. Its RG flow bears similarities to the Kondo model, although unlike
the Kondo model the CFT is strongly coupled in the holographic regime. The
interface we study preserves $d = 1$ $\mathcal{N} = 4$ supersymmetry and flows
to conformal fixed points in both the UV and IR. The interface's UV fixed point
is described by $d = 1$ fermionic degrees of freedom, coupled to a gauge
connection on the CFT target space that is induced by the ADHM construction. We
briefly discuss its field-theoretic properties before shifting our focus to its
holographic dual. We analyze the supergravity dual of this interface RG flow,
first in the probe limit and then including gravitational backreaction. In the
probe limit, the flow is realized by the puffing up of probe branes on an
internal $\mathsf{S}^3$ via the Myers effect. We further identify the
backreacted supergravity configurations dual to the interface fixed points.
These supergravity solutions provide a geometric realization of critical
screening of the defect degrees of freedom. This critical screening arises in a
way similar to the original Kondo model. We compute the $g$-factor both in the
probe brane approximation and using backreacted supergravity solutions, and
show that it decreases from the UV to the IR as required by the $g$-theorem.
| [
{
"created": "Tue, 14 Jan 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Feb 2020 23:55:55 GMT",
"version": "v2"
},
{
"created": "Sat, 15 Feb 2020 14:57:36 GMT",
"version": "v3"
},
{
"created": "Fri, 17 Apr 2020 22:55:57 GMT",
"version": "v4"
}
] | 2020-06-24 | [
[
"Erdmenger",
"Johanna",
""
],
[
"Melby-Thompson",
"Charles",
""
],
[
"Northe",
"Christian",
""
]
] | Boundary, defect, and interface RG flows, as exemplified by the famous Kondo model, play a significant role in the theory of quantum fields. We study in detail the holographic dual of a non-conformal supersymmetric impurity in the D1/D5 CFT. Its RG flow bears similarities to the Kondo model, although unlike the Kondo model the CFT is strongly coupled in the holographic regime. The interface we study preserves $d = 1$ $\mathcal{N} = 4$ supersymmetry and flows to conformal fixed points in both the UV and IR. The interface's UV fixed point is described by $d = 1$ fermionic degrees of freedom, coupled to a gauge connection on the CFT target space that is induced by the ADHM construction. We briefly discuss its field-theoretic properties before shifting our focus to its holographic dual. We analyze the supergravity dual of this interface RG flow, first in the probe limit and then including gravitational backreaction. In the probe limit, the flow is realized by the puffing up of probe branes on an internal $\mathsf{S}^3$ via the Myers effect. We further identify the backreacted supergravity configurations dual to the interface fixed points. These supergravity solutions provide a geometric realization of critical screening of the defect degrees of freedom. This critical screening arises in a way similar to the original Kondo model. We compute the $g$-factor both in the probe brane approximation and using backreacted supergravity solutions, and show that it decreases from the UV to the IR as required by the $g$-theorem. |
1405.2353 | Alexandros Kehagias | Sergio Ferrara, Alex Kehagias and Antonio Riotto | The Imaginary Starobinsky Model and Higher Curvature Corrections | 18 pages | null | 10.1002/prop.201400070 | CERN-PH-TH-2014-085 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We elaborate on the predictions of the imaginary Starobinsky model of
inflation coupled to matter, where the inflaton is identified with the
imaginary part of the inflaton multiplet suggested by the Supergravity
embedding of a pure R + R^2 gravity. In particular, we study the impact of
higher-order curvature terms and show that, depending on the parameter range,
one may find either a quadratic model of chaotic inflation or monomial models
of chaotic inflation with fractional powers between 1 and 2.
| [
{
"created": "Fri, 9 May 2014 20:39:07 GMT",
"version": "v1"
}
] | 2016-01-20 | [
[
"Ferrara",
"Sergio",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Riotto",
"Antonio",
""
]
] | We elaborate on the predictions of the imaginary Starobinsky model of inflation coupled to matter, where the inflaton is identified with the imaginary part of the inflaton multiplet suggested by the Supergravity embedding of a pure R + R^2 gravity. In particular, we study the impact of higher-order curvature terms and show that, depending on the parameter range, one may find either a quadratic model of chaotic inflation or monomial models of chaotic inflation with fractional powers between 1 and 2. |
0906.0402 | Koji Hashimoto | Koji Hashimoto, Takayuki Hirayama, Deog Ki Hong | Quark Mass Dependence of Hadron Spectrum in Holographic QCD | 20 pages, v2: matching with lattice data updated for Delta,
references added | Phys.Rev.D81:045016,2010 | 10.1103/PhysRevD.81.045016 | PNUTP-09/A04, RIKEN-TH-157 | hep-th hep-lat hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute a shift of baryon mass spectra due to quark masses in
perturbation, in Sakai-Sugimoto model of holographic QCD. We find the shift for
the ground state nucleons to be \delta M = 4.1 m_{\pi}^2 [GeV^{-1}], which is
consistent with the current lattice QCD result. We predict the same value of
the shift for N(1535) and Delta, while a larger value 7.7 m_{\pi}^2 [GeV^{-1}]
for Roper N(1440). We also present some evidences that the shifts of the vector
meson masses are suppressed in the large 't Hooft coupling limit.
| [
{
"created": "Tue, 2 Jun 2009 01:21:48 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jun 2009 13:04:10 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Hashimoto",
"Koji",
""
],
[
"Hirayama",
"Takayuki",
""
],
[
"Hong",
"Deog Ki",
""
]
] | We compute a shift of baryon mass spectra due to quark masses in perturbation, in Sakai-Sugimoto model of holographic QCD. We find the shift for the ground state nucleons to be \delta M = 4.1 m_{\pi}^2 [GeV^{-1}], which is consistent with the current lattice QCD result. We predict the same value of the shift for N(1535) and Delta, while a larger value 7.7 m_{\pi}^2 [GeV^{-1}] for Roper N(1440). We also present some evidences that the shifts of the vector meson masses are suppressed in the large 't Hooft coupling limit. |
hep-th/0302001 | Sergei V. Ketov | Sergei V. Ketov (Tokyo Metropolitan University) | D-instantons and matter hypermultiplet | 8 pages, LaTeX, no figures | Phys.Lett.B558:119-124,2003 | 10.1016/S0370-2693(03)00244-2 | null | hep-th | null | We calculate the D-instanton corrections (with all D-instanton numbers) to
the quantum moduli space metric of a single matter hypermultiplet with toric
isometry, in the effective N=2 supergravity arising in type-IIA superstrings
compactified on a Calabi-Yau (CY) threefold of Hodge number h_{2,1}=1. The
non-perturbative quaternionic hypermultiplet metric is derived by resolution of
a complex orbifold singularity, thus generalizing the known (Ooguri-Vafa)
solution in flat spacetime to N=2 supergravity.
| [
{
"created": "Sat, 1 Feb 2003 03:31:18 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Ketov",
"Sergei V.",
"",
"Tokyo Metropolitan University"
]
] | We calculate the D-instanton corrections (with all D-instanton numbers) to the quantum moduli space metric of a single matter hypermultiplet with toric isometry, in the effective N=2 supergravity arising in type-IIA superstrings compactified on a Calabi-Yau (CY) threefold of Hodge number h_{2,1}=1. The non-perturbative quaternionic hypermultiplet metric is derived by resolution of a complex orbifold singularity, thus generalizing the known (Ooguri-Vafa) solution in flat spacetime to N=2 supergravity. |
2405.15849 | Kyle Ritchie | Benjamin Concepcion, Yasunori Nomura, Kyle Ritchie, Samuel Weiss | Complementarity for a Dynamical Black Hole | 37 pages, 12 figures | null | null | RIKEN-iTHEMS-Report-24 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Black hole complementarity posits that the interior of a black hole is not
independent from its Hawking radiation. This leads to an apparent violation of
causality: the interior can be acausally affected by operators acting solely on
the radiation. We argue that this perspective is misleading and that the black
hole interior must be viewed as existing in the causal past of the Hawking
radiation, despite the fact that they are spacelike separated in the
semiclassical description. Consequently, no operation on the Hawking radiation
-- no matter how complex -- can affect the experience of an infalling observer.
The black hole interior and the radiation only appear spacelike separated in
the semiclassical description because an infalling observer's ability to access
complex information is limited; the chaotic dynamics on the horizon, as viewed
from the exterior, then converts any effect caused by such an observer to
information in the Hawking radiation which cannot be accessed at the
semiclassical level. We arrive at the picture described above by considering a
unitary exterior description in which the flow of information is strictly
causal, which we extend to apply throughout the entire history of black hole
evolution, including its formation. This description uses the stretched event
horizon as an inner edge of spacetime, on which the information inside is
holographically encoded. We argue that the global spacetime picture arises from
coarse-graining over black hole microstates, and discuss its relationship with
the exterior description.
| [
{
"created": "Fri, 24 May 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-05-28 | [
[
"Concepcion",
"Benjamin",
""
],
[
"Nomura",
"Yasunori",
""
],
[
"Ritchie",
"Kyle",
""
],
[
"Weiss",
"Samuel",
""
]
] | Black hole complementarity posits that the interior of a black hole is not independent from its Hawking radiation. This leads to an apparent violation of causality: the interior can be acausally affected by operators acting solely on the radiation. We argue that this perspective is misleading and that the black hole interior must be viewed as existing in the causal past of the Hawking radiation, despite the fact that they are spacelike separated in the semiclassical description. Consequently, no operation on the Hawking radiation -- no matter how complex -- can affect the experience of an infalling observer. The black hole interior and the radiation only appear spacelike separated in the semiclassical description because an infalling observer's ability to access complex information is limited; the chaotic dynamics on the horizon, as viewed from the exterior, then converts any effect caused by such an observer to information in the Hawking radiation which cannot be accessed at the semiclassical level. We arrive at the picture described above by considering a unitary exterior description in which the flow of information is strictly causal, which we extend to apply throughout the entire history of black hole evolution, including its formation. This description uses the stretched event horizon as an inner edge of spacetime, on which the information inside is holographically encoded. We argue that the global spacetime picture arises from coarse-graining over black hole microstates, and discuss its relationship with the exterior description. |
1204.6468 | Rolf Schimmrigk | Rolf Schimmrigk | Emergent spacetime and black hole probes from automorphic forms | 19 pages; Contribution to the commemorative volume for Max Kreuzer | null | 10.1142/9789814412551_0022 | CERN-PH-TH/2012-104 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Over the past few years the arithmetic Langlands program has found
applications in two quite different problems that arise in string physics. The
first of these is concerned with the fundamental problem of deriving the
geometry of spacetime from the worldsheet dynamics, leading to a realization of
the notion of an emergent spacetime in string theory. The second problem is
concerned with the idea of using automorphic black holes as probes of
spacetime. In this article both of these applications of the Langlands program
are described.
| [
{
"created": "Sun, 29 Apr 2012 10:06:35 GMT",
"version": "v1"
}
] | 2017-08-23 | [
[
"Schimmrigk",
"Rolf",
""
]
] | Over the past few years the arithmetic Langlands program has found applications in two quite different problems that arise in string physics. The first of these is concerned with the fundamental problem of deriving the geometry of spacetime from the worldsheet dynamics, leading to a realization of the notion of an emergent spacetime in string theory. The second problem is concerned with the idea of using automorphic black holes as probes of spacetime. In this article both of these applications of the Langlands program are described. |
0804.2893 | Davide Fioravanti | Davide Fioravanti, Paolo Grinza and Marco Rossi | Strong coupling for planar ${\cal N}=4$ SYM theory: an all-order result | references added, typos corrected; Latex file plus one figure | Nucl.Phys.B810:563-574,2009 | 10.1016/j.nuclphysb.2008.10.018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a scheme for determining a generalised scaling function, namely
the Sudakov factor in a peculiar double scaling limit for high spin and large
twist operators belonging to the $sl(2)$ sector of planar ${\cal N}=4$ SYM. In
particular, we perform explicitly the all-order computation at strong 't Hooft
coupling regarding the first (contribution to the) generalised scaling
function. Moreover, we compare our asymptotic results with the numerical
solutions finding a very good agreement and evaluate numerically the
non-asymptotic contributions. Eventually, we illustrate the agreement and
prediction on the string side.
| [
{
"created": "Fri, 18 Apr 2008 18:36:17 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jun 2008 20:44:47 GMT",
"version": "v2"
}
] | 2009-02-02 | [
[
"Fioravanti",
"Davide",
""
],
[
"Grinza",
"Paolo",
""
],
[
"Rossi",
"Marco",
""
]
] | We propose a scheme for determining a generalised scaling function, namely the Sudakov factor in a peculiar double scaling limit for high spin and large twist operators belonging to the $sl(2)$ sector of planar ${\cal N}=4$ SYM. In particular, we perform explicitly the all-order computation at strong 't Hooft coupling regarding the first (contribution to the) generalised scaling function. Moreover, we compare our asymptotic results with the numerical solutions finding a very good agreement and evaluate numerically the non-asymptotic contributions. Eventually, we illustrate the agreement and prediction on the string side. |
hep-th/0507159 | Samuel Monnier | Samuel Monnier | D-branes in Lie groups of rank > 1 | 17 pages. Misplaced sum sign fixed in eq.2, normalization corrected
in eq.16, table and text slightly modified accordingly | JHEP 0508 (2005) 062 | 10.1088/1126-6708/2005/08/062 | null | hep-th | null | We consider a low-energy effective action for the gauge field on
Wess-Zumino-Witten D-branes in a compact simple Lie group, in the limit of
large k. We prove that the effective action is bounded from below, and study
stability of various D-brane configurations, including some class of
non-maximally symmetric ones. We show that for Lie groups of rank higher than
one, the D-brane ground state breaks the Kac-Moody symmetry of the boundary
theory. We then give arguments hinting that the "fuzzy sphere" D2-brane which
is known to be the stable brane configuration in the case of SU(2), may also
correspond to the ground state in other compact simple Lie groups.
| [
{
"created": "Fri, 15 Jul 2005 20:56:00 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Oct 2005 21:28:23 GMT",
"version": "v2"
}
] | 2016-09-06 | [
[
"Monnier",
"Samuel",
""
]
] | We consider a low-energy effective action for the gauge field on Wess-Zumino-Witten D-branes in a compact simple Lie group, in the limit of large k. We prove that the effective action is bounded from below, and study stability of various D-brane configurations, including some class of non-maximally symmetric ones. We show that for Lie groups of rank higher than one, the D-brane ground state breaks the Kac-Moody symmetry of the boundary theory. We then give arguments hinting that the "fuzzy sphere" D2-brane which is known to be the stable brane configuration in the case of SU(2), may also correspond to the ground state in other compact simple Lie groups. |
hep-th/9111032 | null | B. Spence | W-Algebra Symmetries of Generalised Drinfel'd-Sokolov Hierarchies | 13 pages | Phys.Lett. B276 (1992) 311-317 | 10.1016/0370-2693(92)90324-W | null | hep-th | null | Using the zero-curvature formulation, it is shown that W-algebra
transformations are symmetries of corresponding generalised Drinfel'd-Sokolov
hierarchies. This result is illustrated with the examples of the KdV and
Boussinesque hierarchies, and the hierarchy associated to the
Polyakov-Bershadsky W-algebra.
| [
{
"created": "Mon, 18 Nov 1991 10:43:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Spence",
"B.",
""
]
] | Using the zero-curvature formulation, it is shown that W-algebra transformations are symmetries of corresponding generalised Drinfel'd-Sokolov hierarchies. This result is illustrated with the examples of the KdV and Boussinesque hierarchies, and the hierarchy associated to the Polyakov-Bershadsky W-algebra. |
0803.3248 | Jiang Qing-Quan | De-You Chen, Qing-Quan Jiang, Xiao-Tao Zu | Fermions tunnelling from the charged dilatonic black holes | 16 pages, revised version to appear in Class. Quant. Grav | Class.Quant.Grav.25:205022,2008 | 10.1088/0264-9381/25/20/205022 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Kerner and Mann's recent work shows that, for an uncharged and non-rotating
black hole, its Hawking temperature can be exactly derived by fermions
tunnelling from its horizons. In this paper, our main work is to improve the
analysis to deal with charged fermion tunnelling from the general dilatonic
black holes, specifically including the charged, spherically symmetric
dilatonic black hole, the rotating Einstein-Maxwell-Dilaton-Axion (EMDA) black
hole and the rotating Kaluza-Klein (KK) black hole. As a result, the correct
Hawking temperatures are well recovered by charged fermions tunnelling from
these black holes.
| [
{
"created": "Sat, 22 Mar 2008 00:41:01 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Mar 2008 13:36:18 GMT",
"version": "v2"
},
{
"created": "Sat, 17 May 2008 06:02:53 GMT",
"version": "v3"
},
{
"created": "Sat, 9 Aug 2008 08:56:25 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Chen",
"De-You",
""
],
[
"Jiang",
"Qing-Quan",
""
],
[
"Zu",
"Xiao-Tao",
""
]
] | Kerner and Mann's recent work shows that, for an uncharged and non-rotating black hole, its Hawking temperature can be exactly derived by fermions tunnelling from its horizons. In this paper, our main work is to improve the analysis to deal with charged fermion tunnelling from the general dilatonic black holes, specifically including the charged, spherically symmetric dilatonic black hole, the rotating Einstein-Maxwell-Dilaton-Axion (EMDA) black hole and the rotating Kaluza-Klein (KK) black hole. As a result, the correct Hawking temperatures are well recovered by charged fermions tunnelling from these black holes. |
hep-th/0208018 | Bruno Carneiro da Cunha | Bruno Carneiro da Cunha | Dwelling on de Sitter | RevTeX 4, 8 pages, v3: Small clarifications on sections III and IV
and references added/corrected, v4: typos | Phys.Rev. D66 (2002) 124011 | 10.1103/PhysRevD.66.124011 | null | hep-th gr-qc | null | A careful reduction of the three-dimensional gravity to the Liouville
description is performed, where all gauge fixing and on-shell conditions come
from the definition of asymptotic de Sitter spaces. The roles of both past and
future infinities are discussed and the conditions space-time evolution imposes
on both Liouville fields are explicited. Space-times which correspond to
non-equivalent profiles of the Liouville field at past and future infinities
are shown to exist. The qualitative implications of this for any tentative dual
theory are presented.
| [
{
"created": "Fri, 2 Aug 2002 19:13:08 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Aug 2002 20:37:14 GMT",
"version": "v2"
},
{
"created": "Sat, 17 Aug 2002 21:12:30 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"da Cunha",
"Bruno Carneiro",
""
]
] | A careful reduction of the three-dimensional gravity to the Liouville description is performed, where all gauge fixing and on-shell conditions come from the definition of asymptotic de Sitter spaces. The roles of both past and future infinities are discussed and the conditions space-time evolution imposes on both Liouville fields are explicited. Space-times which correspond to non-equivalent profiles of the Liouville field at past and future infinities are shown to exist. The qualitative implications of this for any tentative dual theory are presented. |
hep-th/9202052 | Bill McGlinn | A.P.Balachandran, W.D.McGlinn, L.O'Raifeartaigh, S.Sen, R.D.Sorkin,
A.M.Srivastava | Topological Spin-Statistics Theorem for Strings | 15pp | Mod. Phys. Lett. A7 (1992) 1427-1442 | 10.1142/S0217732392001105 | null | hep-th | null | Recently, a topological proof of the spin-statistics Theorem has been
proposed for a system of point particles which does not require relativity or
field theory, but assumes the existence of antiparticles. We extend this proof
to a system of string loops in three space dimensions and show that by assuming
the existence of antistring loops, one can prove a spin-statistics theorem for
these string loops. According to this theorem, all unparametrized strings(such
as flux tubes in superconductors and cosmic strings ) should be quantized as
bosons. Also, as in the point particle case, we find that the theorem excludes
nonabelian statistics.
| [
{
"created": "Fri, 14 Feb 1992 11:07:28 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Balachandran",
"A. P.",
""
],
[
"McGlinn",
"W. D.",
""
],
[
"O'Raifeartaigh",
"L.",
""
],
[
"Sen",
"S.",
""
],
[
"Sorkin",
"R. D.",
""
],
[
"Srivastava",
"A. M.",
""
]
] | Recently, a topological proof of the spin-statistics Theorem has been proposed for a system of point particles which does not require relativity or field theory, but assumes the existence of antiparticles. We extend this proof to a system of string loops in three space dimensions and show that by assuming the existence of antistring loops, one can prove a spin-statistics theorem for these string loops. According to this theorem, all unparametrized strings(such as flux tubes in superconductors and cosmic strings ) should be quantized as bosons. Also, as in the point particle case, we find that the theorem excludes nonabelian statistics. |
0705.0056 | Changhyun Ahn | Changhyun Ahn | Meta-Stable Brane Configurations with Five NS5-Branes | 28 pp, 7 figures; the discussions for stability in pages 12, 15, 22,
26 added; Eight footnotes added; to appear in IJMPA | Int.J.Mod.Phys.A24:5465-5493,2009 | 10.1142/S0217751X09044723 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c)
x SU(N_c') with fundamentals for each gauge group, the bifundamentals and a
symmetric flavor and a conjugate symmetric flavor for SU(N_c), we apply Seiberg
dual to each gauge group independently and obtain two N=1 supersymmetric dual
magnetic gauge theories with dual matters including the gauge singlets. By
analyzing the F-term equations of the dual magnetic superpotentials, we
describe the intersecting brane configurations of type IIA string theory
corresponding to the meta-stable nonsupersymmetric vacua of these gauge
theories. The case where the above symmetric flavor is replaced by an
antisymmetric flavor is also discussed.
| [
{
"created": "Tue, 1 May 2007 01:58:59 GMT",
"version": "v1"
},
{
"created": "Tue, 15 May 2007 13:38:08 GMT",
"version": "v2"
},
{
"created": "Tue, 22 Jan 2008 11:21:32 GMT",
"version": "v3"
},
{
"created": "Sat, 14 Mar 2009 03:02:37 GMT",
"version": "v4"
}
] | 2009-11-30 | [
[
"Ahn",
"Changhyun",
""
]
] | From an N=1 supersymmetric electric gauge theory with the gauge group SU(N_c) x SU(N_c') with fundamentals for each gauge group, the bifundamentals and a symmetric flavor and a conjugate symmetric flavor for SU(N_c), we apply Seiberg dual to each gauge group independently and obtain two N=1 supersymmetric dual magnetic gauge theories with dual matters including the gauge singlets. By analyzing the F-term equations of the dual magnetic superpotentials, we describe the intersecting brane configurations of type IIA string theory corresponding to the meta-stable nonsupersymmetric vacua of these gauge theories. The case where the above symmetric flavor is replaced by an antisymmetric flavor is also discussed. |
hep-th/0512054 | Richard Szabo | Richard J. Szabo | D-Branes in Noncommutative Field Theory | 48 pages; Based on minicourse given at the International Workshop on
Noncommutative Geometry NCG2005, Institute for Studies in Theoretical Physics
and Mathematics (IPM), Tehran, Iran, September 11-22 2005. To be published in
the minicourse volume by World Scientific and in IPM Lecture Notes Series;
v2: References added; v3: Minor corrections | null | null | HWM-05-27, EMPG-05-17 | hep-th math-ph math.MP | null | A mathematical introduction to the classical solutions of noncommutative
field theory is presented, with emphasis on how they may be understood as
states of D-branes in Type II superstring theory. Both scalar field theory and
gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills
theory on the two-dimensional noncommutative torus and the fuzzy sphere are
also constructed. In some instances the connection to D-brane physics is
provided by a mapping of noncommutative solitons into K-homology.
| [
{
"created": "Mon, 5 Dec 2005 20:19:17 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Dec 2005 10:37:45 GMT",
"version": "v2"
},
{
"created": "Tue, 8 May 2007 10:41:57 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Szabo",
"Richard J.",
""
]
] | A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to D-brane physics is provided by a mapping of noncommutative solitons into K-homology. |
hep-th/0308102 | Igor Bandos | Igor A. Bandos, Jose M.Isidro | D=4 supergravity dynamically coupled to superstring in a superfield
Lagrangian approach | 15 pages, RevTex4, no figures. V2. References added, minor changes,
submitted to Phys.Rev. D. V3. More references added | Phys.Rev. D69 (2004) 085009 | 10.1103/PhysRevD.69.085009 | FTUV-03/0815 | hep-th | null | We elaborate a full superfield description of the interacting system of
dynamical D=4, N=1 supergravity and dynamical superstring. As far as minimal
formulation of the simple supergravity is used, such a system should contain as
well the tensor (real linear) multiplet which describes the dilaton and the
two-superform gauge field whose pull-back provides the Wess-Zumino term for the
superstring. The superfield action is given by the sum of the Wess-Zumino
action for D=4, N=1 superfield supergravity, the superfield action for the
tensor multiplet in curved superspace and the Green-Schwarz superstring action.
The latter includes the coupling to the tensor multiplet both in the Nambu-Goto
and in the Wess-Zumino terms. We derive superfield equations of motion
including, besides the superfield supergravity equations with the source, the
source-full superfield equations for the linear multiplet. The superstring
equations keep the same form as for the superstring in supergravity and
2-superform background. The analysis of gauge symmetries shows that the
superfield description of the interacting system is gauge equivalent to the
dynamical system described by the sum of the spacetime, component action for
supergravity interacting with tensor multiplet and of the purely bosonic string
action.
| [
{
"created": "Fri, 15 Aug 2003 16:32:39 GMT",
"version": "v1"
},
{
"created": "Tue, 2 Sep 2003 15:12:29 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Sep 2003 15:54:25 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Bandos",
"Igor A.",
""
],
[
"Isidro",
"Jose M.",
""
]
] | We elaborate a full superfield description of the interacting system of dynamical D=4, N=1 supergravity and dynamical superstring. As far as minimal formulation of the simple supergravity is used, such a system should contain as well the tensor (real linear) multiplet which describes the dilaton and the two-superform gauge field whose pull-back provides the Wess-Zumino term for the superstring. The superfield action is given by the sum of the Wess-Zumino action for D=4, N=1 superfield supergravity, the superfield action for the tensor multiplet in curved superspace and the Green-Schwarz superstring action. The latter includes the coupling to the tensor multiplet both in the Nambu-Goto and in the Wess-Zumino terms. We derive superfield equations of motion including, besides the superfield supergravity equations with the source, the source-full superfield equations for the linear multiplet. The superstring equations keep the same form as for the superstring in supergravity and 2-superform background. The analysis of gauge symmetries shows that the superfield description of the interacting system is gauge equivalent to the dynamical system described by the sum of the spacetime, component action for supergravity interacting with tensor multiplet and of the purely bosonic string action. |
hep-th/0102211 | Eric R. Sharpe | Eric Sharpe | String Orbifolds and Quotient Stacks | 67 pages, LaTeX, 2 figure files, v2: some sections rewritten | Nucl.Phys. B627 (2002) 445-505 | 10.1016/S0550-3213(02)00039-1 | DUKE-CGTP-2001-03 | hep-th | null | In this note we observe that, contrary to the usual lore, string orbifolds do
not describe strings on quotient spaces, but rather seem to describe strings on
objects called quotient stacks, a result that follows from simply unraveling
definitions, and is further justified by a number of results. Quotient stacks
are very closely related to quotient spaces; for example, when the orbifold
group acts freely, the quotient space and the quotient stack are homeomorphic.
We explain how sigma models on quotient stacks naturally have twisted sectors,
and why a sigma model on a quotient stack would be a nonsingular CFT even when
the associated quotient space is singular. We also show how to understand twist
fields in this language, and outline the derivation of the orbifold Euler
characteristic purely in terms of stacks. We also outline why there is a sense
in which one naturally finds B nonzero on exceptional divisors of resolutions.
These insights are not limited to merely understanding existing string
orbifolds: we also point out how this technology enables us to understand
orbifolds in M-theory, as well as how this means that string orbifolds provide
the first example of an entirely new class of string compactifications. As
quotient stacks are not a staple of the physics literature, we include a
lengthy tutorial on quotient stacks.
| [
{
"created": "Wed, 28 Feb 2001 18:34:52 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2001 18:06:48 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sharpe",
"Eric",
""
]
] | In this note we observe that, contrary to the usual lore, string orbifolds do not describe strings on quotient spaces, but rather seem to describe strings on objects called quotient stacks, a result that follows from simply unraveling definitions, and is further justified by a number of results. Quotient stacks are very closely related to quotient spaces; for example, when the orbifold group acts freely, the quotient space and the quotient stack are homeomorphic. We explain how sigma models on quotient stacks naturally have twisted sectors, and why a sigma model on a quotient stack would be a nonsingular CFT even when the associated quotient space is singular. We also show how to understand twist fields in this language, and outline the derivation of the orbifold Euler characteristic purely in terms of stacks. We also outline why there is a sense in which one naturally finds B nonzero on exceptional divisors of resolutions. These insights are not limited to merely understanding existing string orbifolds: we also point out how this technology enables us to understand orbifolds in M-theory, as well as how this means that string orbifolds provide the first example of an entirely new class of string compactifications. As quotient stacks are not a staple of the physics literature, we include a lengthy tutorial on quotient stacks. |
hep-th/0403064 | Anthony Zee | A. Zee | The Graviton and the Nature of Dark Energy | null | Mod.Phys.Lett. A19 (2004) 983-992 | 10.1142/S0217732304014264 | null | hep-th | null | I discuss various thoughts, old and new, about the cosmological constant (or
dark energy) paradox. In particular, I suggest the possibility that the
cosmological ``constant'' may decay as $\Lambda \sim \alpha^2 m_N^3 / \tau$,
where $\tau$ is the age of the universe.
| [
{
"created": "Fri, 5 Mar 2004 00:59:33 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Zee",
"A.",
""
]
] | I discuss various thoughts, old and new, about the cosmological constant (or dark energy) paradox. In particular, I suggest the possibility that the cosmological ``constant'' may decay as $\Lambda \sim \alpha^2 m_N^3 / \tau$, where $\tau$ is the age of the universe. |
2304.00624 | Sergio Cacciatori | Sergio Luigi Cacciatori, Henri Epstein and Ugo Moschella | Banana integrals in configuration space | 29 pages, several formulas improved, removed a mistake | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We reconsider the computation of banana integrals at different loops, by
working in the configuration space, in any dimension. We show how the 2-loop
banana integral can be computed directly from the configuration space
representation, without the need to resort to differential equations, and we
include the analytic extension of the diagram in the space of complex masses.
We also determine explicitly the $\varepsilon$ expansion of the two loop banana
integrals, for $d=j-2\varepsilon$, $j=2,3,4$.
| [
{
"created": "Sun, 2 Apr 2023 20:49:41 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2023 09:27:01 GMT",
"version": "v2"
}
] | 2023-08-04 | [
[
"Cacciatori",
"Sergio Luigi",
""
],
[
"Epstein",
"Henri",
""
],
[
"Moschella",
"Ugo",
""
]
] | We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need to resort to differential equations, and we include the analytic extension of the diagram in the space of complex masses. We also determine explicitly the $\varepsilon$ expansion of the two loop banana integrals, for $d=j-2\varepsilon$, $j=2,3,4$. |
1004.4456 | George Savvidy K | George Savvidy | Non-Abelian Tensor Gauge Fields | 18 pages; Invited talk given at "Gauge Fields. Yesterday, Today,
Tomorrow", Moscow 2010, in Honor of the 70-th Birthday of Andrey Slavnov | Proceedings of the Steklov Institute of Mathematics, 272 (2011)
201-215 | 10.1134/S0081543811010196 | NRCPS-HE-10-10 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently proposed extension of Yang-Mills theory contains non-Abelian tensor
gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and
quartic terms describing non-linear interaction of tensor gauge fields with the
dimensionless coupling constant. We analyze particle content of non-Abelian
tensor gauge fields. In four-dimensional space-time the rank-2 gauge field
describes propagating modes of helicity 2 and 0. We introduce interaction of
the non-Abelian tensor gauge field with fermions and demonstrate that the free
equation of motion for the spin-vector field correctly describes the
propagation of massless modes of helicity 3/2. We have found a new
metric-independent gauge invariant density which is a four-dimensional analog
of the Chern-Simons density. The Lagrangian augmented by this Chern-Simons-like
invariant describes massive Yang-Mills boson, providing a gauge-invariant mass
gap for a four-dimensional gauge field theory.
| [
{
"created": "Mon, 26 Apr 2010 09:53:20 GMT",
"version": "v1"
}
] | 2011-05-09 | [
[
"Savvidy",
"George",
""
]
] | Recently proposed extension of Yang-Mills theory contains non-Abelian tensor gauge fields. The Lagrangian has quadratic kinetic terms, as well as cubic and quartic terms describing non-linear interaction of tensor gauge fields with the dimensionless coupling constant. We analyze particle content of non-Abelian tensor gauge fields. In four-dimensional space-time the rank-2 gauge field describes propagating modes of helicity 2 and 0. We introduce interaction of the non-Abelian tensor gauge field with fermions and demonstrate that the free equation of motion for the spin-vector field correctly describes the propagation of massless modes of helicity 3/2. We have found a new metric-independent gauge invariant density which is a four-dimensional analog of the Chern-Simons density. The Lagrangian augmented by this Chern-Simons-like invariant describes massive Yang-Mills boson, providing a gauge-invariant mass gap for a four-dimensional gauge field theory. |
1504.04334 | Jean-Luc Lehners | Michael Koehn, George Lavrelashvili and Jean-Luc Lehners | Towards a Solution of the Negative Mode Problem in Quantum Tunnelling
with Gravity | 32 pages, 13 figures, v3: more references added, published version | Phys. Rev. D 92, 023506 (2015) | 10.1103/PhysRevD.92.023506 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the absence of gravity, one can prove that tunnelling instantons exhibit
exactly one negative mode in their spectrum of fluctuations. It is precisely
the existence of this tunnelling negative mode that warrants an interpretation
of these solutions as mediating the decay of a metastable vacuum. In the
presence of gravity the situation is much more subtle, not least because of
diffeomorphism invariance. New complications arise here: in particular, the
kinetic term of the fluctuations can change sign somewhere along the instanton.
We show that in this case the mode functions remain non-singular, and the
tunnelling negative mode continues to exist. Moreover, the eigenvalues vary
continuously when the potential is varied such that the kinetic term of the
fluctuations switches sign. However, the negative kinetic term implies the
additional existence of an infinite tower of negative modes, whose significance
and interpretation remain elusive.
| [
{
"created": "Thu, 16 Apr 2015 18:46:41 GMT",
"version": "v1"
},
{
"created": "Thu, 7 May 2015 11:19:25 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jun 2015 07:20:29 GMT",
"version": "v3"
}
] | 2015-07-15 | [
[
"Koehn",
"Michael",
""
],
[
"Lavrelashvili",
"George",
""
],
[
"Lehners",
"Jean-Luc",
""
]
] | In the absence of gravity, one can prove that tunnelling instantons exhibit exactly one negative mode in their spectrum of fluctuations. It is precisely the existence of this tunnelling negative mode that warrants an interpretation of these solutions as mediating the decay of a metastable vacuum. In the presence of gravity the situation is much more subtle, not least because of diffeomorphism invariance. New complications arise here: in particular, the kinetic term of the fluctuations can change sign somewhere along the instanton. We show that in this case the mode functions remain non-singular, and the tunnelling negative mode continues to exist. Moreover, the eigenvalues vary continuously when the potential is varied such that the kinetic term of the fluctuations switches sign. However, the negative kinetic term implies the additional existence of an infinite tower of negative modes, whose significance and interpretation remain elusive. |
hep-th/0703088 | Oliver DeWolfe | Oliver DeWolfe, Liam McAllister, Gary Shiu and Bret Underwood | D3-brane Vacua in Stabilized Compactifications | 30 pages, LaTeX. v2: references added, typos fixed | JHEP0709:121,2007 | 10.1088/1126-6708/2007/09/121 | COLO-HEP-524, MAD-TH-06-14, PUPT-2224 | hep-th | null | D3-branes feel no force in no-scale flux compactifications of type IIB string
theory, but the nonperturbative effects required to stabilize the Kahler moduli
break the no-scale structure and generate a potential for D3-brane motion,
confining the branes to certain loci. D3-branes away from these loci break
supersymmetry spontaneously, by an F-term. We present the general conditions
for supersymmetric D3-brane vacua in models with a single Kahler modulus, then
explicitly calculate these vacua for D3-branes moving on the tip of the warped
deformed conifold. We find both continuous moduli spaces and isolated vacua. In
addition, we show that anti-D3-branes and D3-branes are localized to the same
regions by the nonperturbative potential, avoiding a potential obstacle to
brane inflation. We apply these results to determine whether angular motion of
a brane in a throat could play an important role in inflation, and find that
any inflation along the angular directions is short-lived because the field
space is very small.
| [
{
"created": "Thu, 8 Mar 2007 20:53:30 GMT",
"version": "v1"
},
{
"created": "Tue, 22 May 2007 22:13:06 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"DeWolfe",
"Oliver",
""
],
[
"McAllister",
"Liam",
""
],
[
"Shiu",
"Gary",
""
],
[
"Underwood",
"Bret",
""
]
] | D3-branes feel no force in no-scale flux compactifications of type IIB string theory, but the nonperturbative effects required to stabilize the Kahler moduli break the no-scale structure and generate a potential for D3-brane motion, confining the branes to certain loci. D3-branes away from these loci break supersymmetry spontaneously, by an F-term. We present the general conditions for supersymmetric D3-brane vacua in models with a single Kahler modulus, then explicitly calculate these vacua for D3-branes moving on the tip of the warped deformed conifold. We find both continuous moduli spaces and isolated vacua. In addition, we show that anti-D3-branes and D3-branes are localized to the same regions by the nonperturbative potential, avoiding a potential obstacle to brane inflation. We apply these results to determine whether angular motion of a brane in a throat could play an important role in inflation, and find that any inflation along the angular directions is short-lived because the field space is very small. |
1810.03941 | Xiao-Mei Kuang | Kai Lin, Xiao-Mei Kuang, Wei-Liang Qian, Qiyuan Pan and A. B. Pavan | Analysis of s-wave, p-wave and d-wave holographic superconductors in
Ho\v{r}ava-Lifshitz gravity | published version | Modern Physics Letters A Vol. 33, No. 26 (2018) 1850147 | 10.1142/S021773231850147X | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, the s-wave, p-wave and d-wave holographic superconductors in
the Ho\v{r}ava-Lifshitz gravity are investigated in the probe limit. For the
present approach, it is shown that the equations of motion for different wave
states in Einstein gravity can be written into a unified form, and condensates
take place in all three cases. This scheme is then generalized to
Ho\v{r}ava-Lifshitz gravity, and an unified equation for multiple holographic
states is obtained. Furthermore, the properties of the condensation and the
optical conductivity are studied numerically. It is found that, in the case of
Ho\v{r}ava-Lifshitz gravity, it is always possible to find some particular
parameters in the corresponding Einstein case where the condensation curves are
identical. For fixed scalar field mass $m$, a non-vanishing $\alpha$ becomes
the condensation easier than in Einstein gravity for s-wave superconductor.
However, the p-wave and d-wave superconductors have $T_c$ greater than s-wave
one.
| [
{
"created": "Tue, 9 Oct 2018 12:39:18 GMT",
"version": "v1"
}
] | 2018-10-10 | [
[
"Lin",
"Kai",
""
],
[
"Kuang",
"Xiao-Mei",
""
],
[
"Qian",
"Wei-Liang",
""
],
[
"Pan",
"Qiyuan",
""
],
[
"Pavan",
"A. B.",
""
]
] | In this work, the s-wave, p-wave and d-wave holographic superconductors in the Ho\v{r}ava-Lifshitz gravity are investigated in the probe limit. For the present approach, it is shown that the equations of motion for different wave states in Einstein gravity can be written into a unified form, and condensates take place in all three cases. This scheme is then generalized to Ho\v{r}ava-Lifshitz gravity, and an unified equation for multiple holographic states is obtained. Furthermore, the properties of the condensation and the optical conductivity are studied numerically. It is found that, in the case of Ho\v{r}ava-Lifshitz gravity, it is always possible to find some particular parameters in the corresponding Einstein case where the condensation curves are identical. For fixed scalar field mass $m$, a non-vanishing $\alpha$ becomes the condensation easier than in Einstein gravity for s-wave superconductor. However, the p-wave and d-wave superconductors have $T_c$ greater than s-wave one. |
1907.10141 | Susha Parameswaran | Edward Hardy and Susha Parameswaran | Thermal Dark Energy | 16 pages, 8 figures | Phys. Rev. D 101, 023503 (2020) | 10.1103/PhysRevD.101.023503 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a novel source of dark energy, which is motivated by the
prevalence of hidden sectors in string theory models and is consistent with all
of the proposed swampland conjectures. Thermal effects hold a light hidden
sector scalar at a point in field space that is not a minimum of its zero
temperature potential. This leads to an effective "cosmological constant", with
an equation of state $w=-1$, despite the scalar's zero temperature potential
having only a 4D Minkowski or AdS vacuum. For scalar masses $\lesssim \mu$eV,
which could be technically natural via sequestering, there are large regions of
phenomenologically viable parameter space such that the induced vacuum energy
matches the measured dark energy density. Additionally, in many models a
standard cosmological history automatically leads to the scalar having the
required initial conditions. We study the possible observational signals of
such a model, including at fifth force experiments and through $\Delta N_{\rm
eff}$ measurements. Similar dynamics that are active at earlier times could
resolve the tension between different measurements of $H_0$ and can lead to a
detectable stochastic gravitational wave background.
| [
{
"created": "Tue, 23 Jul 2019 21:34:30 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Hardy",
"Edward",
""
],
[
"Parameswaran",
"Susha",
""
]
] | We present a novel source of dark energy, which is motivated by the prevalence of hidden sectors in string theory models and is consistent with all of the proposed swampland conjectures. Thermal effects hold a light hidden sector scalar at a point in field space that is not a minimum of its zero temperature potential. This leads to an effective "cosmological constant", with an equation of state $w=-1$, despite the scalar's zero temperature potential having only a 4D Minkowski or AdS vacuum. For scalar masses $\lesssim \mu$eV, which could be technically natural via sequestering, there are large regions of phenomenologically viable parameter space such that the induced vacuum energy matches the measured dark energy density. Additionally, in many models a standard cosmological history automatically leads to the scalar having the required initial conditions. We study the possible observational signals of such a model, including at fifth force experiments and through $\Delta N_{\rm eff}$ measurements. Similar dynamics that are active at earlier times could resolve the tension between different measurements of $H_0$ and can lead to a detectable stochastic gravitational wave background. |
0907.2358 | Bireswar Basu-Mallick | B. Basu-Mallick and Tanaya Bhattacharyya | Fermionic dual of one-dimensional bosonic particles with derivative
delta function potential | 11 pages | Mod.Phys.Lett.A25:715-725,2010 | 10.1142/S0217732310032214 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the boson-fermion duality relation for the case of quantum
integrable derivative $\delta$-function bose gas. In particular, we find out a
dual fermionic system with nonvanishing zero-range interaction for the simplest
case of two bosonic particles with derivative $\delta$-function interaction.
The coupling constant of this dual fermionic system becomes inversely
proportional to the product of the coupling constant of its bosonic counterpart
and the centre-of-mass momentum of the corresponding eigenfunction.
| [
{
"created": "Tue, 14 Jul 2009 14:04:51 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Basu-Mallick",
"B.",
""
],
[
"Bhattacharyya",
"Tanaya",
""
]
] | We investigate the boson-fermion duality relation for the case of quantum integrable derivative $\delta$-function bose gas. In particular, we find out a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative $\delta$-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the centre-of-mass momentum of the corresponding eigenfunction. |
1210.7705 | Pawe{\l} Caputa | Pawel Caputa and Badr Awad Elseid Mohammed | From Schurs to Giants in ABJ(M) | 1+31 pages, 2 figures, v2: Typos fixed and ref. added | null | 10.1007/JHEP01(2013)055 | WITS-CTP-106 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we consider various correlators with Schur polynomials in ABJ(M)
models that on the dual gravity side should correspond to processes involving
giant gravitons. Our analysis imposes several constraints on the physics of the
probe branes on AdS4xCP3 as well as sheds more light on giant graviton
solutions in this background with additional NS B-field. Our main tool is a
formula that we derive for extremal n-point functions of the single trace
chiral primary operators in the free field theory limit. The formula expresses
the correlators in terms of the two-point function of Schur polynomials labeled
by hook diagrams and is valid for a large class of gauge theories. In
particular, in N = 4 SYM, it proves the conjecture of Beisert et al.
| [
{
"created": "Mon, 29 Oct 2012 16:07:23 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Nov 2012 08:51:13 GMT",
"version": "v2"
}
] | 2015-06-11 | [
[
"Caputa",
"Pawel",
""
],
[
"Mohammed",
"Badr Awad Elseid",
""
]
] | In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of Beisert et al. |
2312.03184 | Min-Seok Seo | Min-Seok Seo | Kaluza-Klein tower and bubble nucleation in six dimensional
Einstein-Maxwell theory | 23 pages, 10 figures | Eur.Phys.J.C 84 (2024), 449 | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We study the implication of the distance and the cobordism conjecture on the
6-dimensional Einstein-Maxwell theory compactified on $S^2$. In this toy model,
the radion potential is stabilized by the conspiracy of the curvature of $S^2$
and the flux through $S^2$ parametrized by $f$, and uplifted by the positive
6-dimensional cosmological constant parametrized by $\lambda$. When
$\lambda=0$, the radion is stabilized at the anti-de Sitter (AdS) vacuum, which
cannot be interpolated to the Minkowski vacuum since the Kaluza-Klein (KK)
tower descends from UV in the vanishing limit of the 4-dimensional cosmological
constant. For nonzero $\lambda$ which realizes the metastable de Sitter (dS)
vacuum, as well as the AdS and the Minkowski vacuum, such an obstruction can be
found provided the combination $f^2\lambda$ is fixed and the limit $\lambda\to
0$ is taken. Moreover, the 6-dimensional Einstein-Maxwell theory allows the
transition between vacua through the nucleation of the bubble. In this case,
the values of the 4-dimensional cosmological constant inside and outside the
bubble are different as $f$ is changed at the bubble wall, while $\lambda$
remains unchanged. Regarding the AdS vacuum with the vanishing curvature radius
as the `nothing', we find that the transition from the metastable dS vacuum to
the nothing is not prevented by the descent of the KK tower since $f^2\lambda$
is not fixed.
| [
{
"created": "Tue, 5 Dec 2023 23:30:47 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2024 23:23:02 GMT",
"version": "v2"
}
] | 2024-05-06 | [
[
"Seo",
"Min-Seok",
""
]
] | We study the implication of the distance and the cobordism conjecture on the 6-dimensional Einstein-Maxwell theory compactified on $S^2$. In this toy model, the radion potential is stabilized by the conspiracy of the curvature of $S^2$ and the flux through $S^2$ parametrized by $f$, and uplifted by the positive 6-dimensional cosmological constant parametrized by $\lambda$. When $\lambda=0$, the radion is stabilized at the anti-de Sitter (AdS) vacuum, which cannot be interpolated to the Minkowski vacuum since the Kaluza-Klein (KK) tower descends from UV in the vanishing limit of the 4-dimensional cosmological constant. For nonzero $\lambda$ which realizes the metastable de Sitter (dS) vacuum, as well as the AdS and the Minkowski vacuum, such an obstruction can be found provided the combination $f^2\lambda$ is fixed and the limit $\lambda\to 0$ is taken. Moreover, the 6-dimensional Einstein-Maxwell theory allows the transition between vacua through the nucleation of the bubble. In this case, the values of the 4-dimensional cosmological constant inside and outside the bubble are different as $f$ is changed at the bubble wall, while $\lambda$ remains unchanged. Regarding the AdS vacuum with the vanishing curvature radius as the `nothing', we find that the transition from the metastable dS vacuum to the nothing is not prevented by the descent of the KK tower since $f^2\lambda$ is not fixed. |
1805.02084 | Ingmar Saberi | Richard Eager and Ingmar Saberi | Holomorphic field theories and Calabi--Yau algebras | 55 pages, 6 figures, 8 tables | null | 10.1142/S0217751X19500714 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the holomorphic twist of the worldvolume theory of flat
D$(2k-1)$-branes transversely probing a Calabi--Yau manifold. A chain complex,
constructed using the BV formalism, computes the local observables in the
holomorphically twisted theory. Generalizing earlier work in the case $k=2$, we
find that this complex can be identified with the Ginzburg dg algebra
associated to the Calabi--Yau. However, the identification is subtle; the
complex is the space of fields contributing to the holomorphic twist of the
free theory, and its differential arises from interactions. For $k=1$, this
holomorphically twisted theory is related to the elliptic genus. We give a
general description for D1-branes probing a Calabi--Yau fourfold singularity,
and for $\mathcal{N}=(0,2)$ quiver gauge theories. In addition, we propose a
relation between the equivariant Hirzebruch $\chi_y$ genus of large-$N$
symmetric products and cyclic homology.
| [
{
"created": "Sat, 5 May 2018 17:02:31 GMT",
"version": "v1"
}
] | 2019-06-26 | [
[
"Eager",
"Richard",
""
],
[
"Saberi",
"Ingmar",
""
]
] | We consider the holomorphic twist of the worldvolume theory of flat D$(2k-1)$-branes transversely probing a Calabi--Yau manifold. A chain complex, constructed using the BV formalism, computes the local observables in the holomorphically twisted theory. Generalizing earlier work in the case $k=2$, we find that this complex can be identified with the Ginzburg dg algebra associated to the Calabi--Yau. However, the identification is subtle; the complex is the space of fields contributing to the holomorphic twist of the free theory, and its differential arises from interactions. For $k=1$, this holomorphically twisted theory is related to the elliptic genus. We give a general description for D1-branes probing a Calabi--Yau fourfold singularity, and for $\mathcal{N}=(0,2)$ quiver gauge theories. In addition, we propose a relation between the equivariant Hirzebruch $\chi_y$ genus of large-$N$ symmetric products and cyclic homology. |
0805.0211 | Nicholas Stephen Manton | Nicholas S. Manton | One-vortex moduli space and Ricci flow | 20 pages | J.Geom.Phys.58:1772-1783,2008 | 10.1016/j.geomphys.2008.08.005 | DAMTP-2008-32 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The metric on the moduli space of one abelian Higgs vortex on a surface has a
natural geometrical evolution as the Bradlow parameter, which determines the
vortex size, varies. It is shown by various arguments, and by calculations in
special cases, that this geometrical flow has many similarities to Ricci flow.
| [
{
"created": "Fri, 2 May 2008 11:19:47 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Manton",
"Nicholas S.",
""
]
] | The metric on the moduli space of one abelian Higgs vortex on a surface has a natural geometrical evolution as the Bradlow parameter, which determines the vortex size, varies. It is shown by various arguments, and by calculations in special cases, that this geometrical flow has many similarities to Ricci flow. |
1012.0459 | Neil Copland Dr | Neil B. Copland | Introductory Lectures on Multiple Membranes | 31 pages. Based on lectures given at the Sixth Modave School on
Mathematical Physics (August 2010) | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These lecture notes introduce the multiple membrane theories known as BLG and
ABJM. We assume the reader is familiar with string theory, but not with
M-theory, 11-dimensional supergravity or membranes. We therefore start with a
background on M-theory and its extended objects before discussing BLG and ABJM.
The link to string theory via dimensional reduction will be maintained
throughout.
| [
{
"created": "Thu, 2 Dec 2010 15:46:13 GMT",
"version": "v1"
}
] | 2010-12-03 | [
[
"Copland",
"Neil B.",
""
]
] | These lecture notes introduce the multiple membrane theories known as BLG and ABJM. We assume the reader is familiar with string theory, but not with M-theory, 11-dimensional supergravity or membranes. We therefore start with a background on M-theory and its extended objects before discussing BLG and ABJM. The link to string theory via dimensional reduction will be maintained throughout. |
1512.00858 | Iva Lovrekovic | I. Lovrekovic | One loop partition function of six dimensional conformal gravity using
heat kernel on AdS | 10 pages | J. High Energ. Phys. (2016) 2016: 64 | 10.1007/JHEP10(2016)064 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the heat kernel for the Laplacians of symmetric transverse
traceless fields of arbitrary spin on the $AdS$ background in even number of
dimensions using the group theoretic approach introduced in
\cite{Gopakumar:2011qs} and apply it on the partition function of six
dimensional conformal gravity. The obtained partition function consists of the
Einstein gravity, conformal ghost and two modes that contain mass.
| [
{
"created": "Wed, 2 Dec 2015 21:00:08 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 2016 12:44:29 GMT",
"version": "v2"
}
] | 2016-10-21 | [
[
"Lovrekovic",
"I.",
""
]
] | We compute the heat kernel for the Laplacians of symmetric transverse traceless fields of arbitrary spin on the $AdS$ background in even number of dimensions using the group theoretic approach introduced in \cite{Gopakumar:2011qs} and apply it on the partition function of six dimensional conformal gravity. The obtained partition function consists of the Einstein gravity, conformal ghost and two modes that contain mass. |
hep-th/0405280 | Yi Li | Yi Li | Anomalies and Graded Coisotropic Branes | AMS Tex, 11 pages | JHEP 0603 (2006) 100 | 10.1088/1126-6708/2006/03/100 | CALT-68-2505 | hep-th | null | We compute the anomaly of the axial U(1) current in the A-model on a
Calabi-Yau manifold, in the presence of coisotropic branes discovered by
Kapustin and Orlov. Our results relate the anomaly-free condition to a recently
proposed definition of graded coisotropic branes in Calabi-Yau manifolds. More
specifically, we find that a coisotropic brane is anomaly-free if and only if
it is gradable. We also comment on a different grading for coisotropic
submanifolds introduced recently by Oh.
| [
{
"created": "Sun, 30 May 2004 18:12:48 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Li",
"Yi",
""
]
] | We compute the anomaly of the axial U(1) current in the A-model on a Calabi-Yau manifold, in the presence of coisotropic branes discovered by Kapustin and Orlov. Our results relate the anomaly-free condition to a recently proposed definition of graded coisotropic branes in Calabi-Yau manifolds. More specifically, we find that a coisotropic brane is anomaly-free if and only if it is gradable. We also comment on a different grading for coisotropic submanifolds introduced recently by Oh. |
2306.13624 | Giorgio Comitini | Giorgio Comitini | Perturbative methods in non-perturbative Quantum Chromodynamics | Dissertation presented in partial fulfillment of the requirements for
the degree of Doctor of Physics/Doctor of Science (PhD) in Physics at the
University of Catania and KU Leuven | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The objective of this thesis is to present two new perturbative frameworks
for the study of low-energy Quantum Chromodynamics (QCD), termed the Screened
Massive Expansion and the Dynamical Model. Both the frameworks paint a picture
of the infrared regime of QCD which is consistent with the current knowledge
provided by the lattice calculations and by other non-perturbative methods,
displaying dynamical mass generation in the gluon sector and a massless ghost
propagator. The Screened Massive Expansion achieves this by operating a shift
of the QCD perturbative series, performed by adding a mass term for the
transverse gluons in the kinetic part of the Faddeev-Popov Lagrangian and
subtracting it back from its interaction part so that the total action remains
unchanged. The Dynamical Model, on the other hand, interprets the generation of
a dynamical mass for the gluons as being triggered by a non-vanishing
condensate of the form $\langle (A^{h})^{2}\rangle$, where $A^{h}$ is a gauge-
and BRST-invariant non-local version of the gluon field, and explores the
consequences of the inclusion of the former in the partition function of the
theory. Since the main focus of this thesis is on the gauge sector of QCD, most
of our calculations will be carried out in the context of pure Yang-Mills
theory. There we will show that the gluon and the ghost propagator derived by
making use of the two frameworks are in good agreement with the Euclidean
Landau-gauge lattice data, within the limits of a one-loop approximation.
During the course of the thesis we will address topics such as the
first-principles status of the two methods, the absence of Landau poles from
the strong running coupling constant and the extension of the Screened Massive
Expansion to finite temperatures and to full QCD. Future research prospects are
discussed in the Conclusions.
| [
{
"created": "Fri, 23 Jun 2023 17:20:11 GMT",
"version": "v1"
}
] | 2023-06-26 | [
[
"Comitini",
"Giorgio",
""
]
] | The objective of this thesis is to present two new perturbative frameworks for the study of low-energy Quantum Chromodynamics (QCD), termed the Screened Massive Expansion and the Dynamical Model. Both the frameworks paint a picture of the infrared regime of QCD which is consistent with the current knowledge provided by the lattice calculations and by other non-perturbative methods, displaying dynamical mass generation in the gluon sector and a massless ghost propagator. The Screened Massive Expansion achieves this by operating a shift of the QCD perturbative series, performed by adding a mass term for the transverse gluons in the kinetic part of the Faddeev-Popov Lagrangian and subtracting it back from its interaction part so that the total action remains unchanged. The Dynamical Model, on the other hand, interprets the generation of a dynamical mass for the gluons as being triggered by a non-vanishing condensate of the form $\langle (A^{h})^{2}\rangle$, where $A^{h}$ is a gauge- and BRST-invariant non-local version of the gluon field, and explores the consequences of the inclusion of the former in the partition function of the theory. Since the main focus of this thesis is on the gauge sector of QCD, most of our calculations will be carried out in the context of pure Yang-Mills theory. There we will show that the gluon and the ghost propagator derived by making use of the two frameworks are in good agreement with the Euclidean Landau-gauge lattice data, within the limits of a one-loop approximation. During the course of the thesis we will address topics such as the first-principles status of the two methods, the absence of Landau poles from the strong running coupling constant and the extension of the Screened Massive Expansion to finite temperatures and to full QCD. Future research prospects are discussed in the Conclusions. |
1705.03893 | Pablo Diaz Benito | Pablo Diaz, Saurya Das and Mark Walton | Bilocal fields and gravity | 25 pages, 1 figure. New version with material from arXiv:1609.08631
that matches the upcoming publication in IJMPD | Int. J. Mod. Phys. D Vol. 27 (2018) 1850090 | 10.1142/S0218271818500906 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a classical bilocal field theory perturbatively up to second order.
The chosen theory is the simplest which incorporates action-at-a-distance,
while keeping non-local effects short-ranged. We show that the new degrees of
freedom introduced by bilocality can be interpreted as gravitational degrees of
freedom in the following sense: solutions of the bilocal system at linear and
second order contain as a subset, gravitational perturbations (spacetime
fluctuations) also to that order. In other words, gravity can be thought to
originate in a bilocal field theory. We examine potential implications.
| [
{
"created": "Wed, 10 May 2017 18:00:05 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2017 20:41:40 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Mar 2018 02:15:48 GMT",
"version": "v3"
}
] | 2018-05-15 | [
[
"Diaz",
"Pablo",
""
],
[
"Das",
"Saurya",
""
],
[
"Walton",
"Mark",
""
]
] | We study a classical bilocal field theory perturbatively up to second order. The chosen theory is the simplest which incorporates action-at-a-distance, while keeping non-local effects short-ranged. We show that the new degrees of freedom introduced by bilocality can be interpreted as gravitational degrees of freedom in the following sense: solutions of the bilocal system at linear and second order contain as a subset, gravitational perturbations (spacetime fluctuations) also to that order. In other words, gravity can be thought to originate in a bilocal field theory. We examine potential implications. |
hep-th/0007092 | Bhabani Prasad Mandal | Rabin Banerjee and Bhabani Prasad Mandal (S. N. Bose National Center
for Basic Sciences) | Quantum gauge symmetry from finite field dependent BRST transformations | 8 pages, Latex, No figs | Phys.Lett. B488 (2000) 27-30 | 10.1016/S0370-2693(00)00842-X | null | hep-th quant-ph | null | Using the technique of finite field dependent BRST transformations we show
that the classical massive Yang-Mills theory and the pure Yang-Mills theory
whose gauge symmetry is broken by a gauge fixing term are identical from the
view point of quantum gauge symmetry. The explicit infinitesimal
transformations which leave the massive Yang-Mills theory BRST invariant are
given.
| [
{
"created": "Wed, 12 Jul 2000 06:25:29 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Banerjee",
"Rabin",
"",
"S. N. Bose National Center\n for Basic Sciences"
],
[
"Mandal",
"Bhabani Prasad",
"",
"S. N. Bose National Center\n for Basic Sciences"
]
] | Using the technique of finite field dependent BRST transformations we show that the classical massive Yang-Mills theory and the pure Yang-Mills theory whose gauge symmetry is broken by a gauge fixing term are identical from the view point of quantum gauge symmetry. The explicit infinitesimal transformations which leave the massive Yang-Mills theory BRST invariant are given. |
1603.09346 | Gilly Elor | Timothy Cohen, Gilly Elor, and Andrew J. Larkoski | Collinear Superspace | 5 pages, two column, version 1 | Phys. Rev. D 93, 125013 (2016) | 10.1103/PhysRevD.93.125013 | MIT-CTP/4793 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This letter provides a superfield based approach to constructing a collinear
slice of $\mathcal{N}$ = 1 superspace. The strategy is analogous to integrating
out anti-collinear fermionic degrees-of-freedom as was developed in the context
of soft-collinear effective theory. The resulting Lagrangian can be understood
as an integral over collinear superspace, where half the supercoordinates have
been integrated out. The application to $\mathcal{N}$ = 1 super Yang-Mills is
presented. Collinear superspace provides the foundation for future explorations
of supersymmetric soft-collinear effective theory.
| [
{
"created": "Wed, 30 Mar 2016 20:00:03 GMT",
"version": "v1"
}
] | 2016-06-15 | [
[
"Cohen",
"Timothy",
""
],
[
"Elor",
"Gilly",
""
],
[
"Larkoski",
"Andrew J.",
""
]
] | This letter provides a superfield based approach to constructing a collinear slice of $\mathcal{N}$ = 1 superspace. The strategy is analogous to integrating out anti-collinear fermionic degrees-of-freedom as was developed in the context of soft-collinear effective theory. The resulting Lagrangian can be understood as an integral over collinear superspace, where half the supercoordinates have been integrated out. The application to $\mathcal{N}$ = 1 super Yang-Mills is presented. Collinear superspace provides the foundation for future explorations of supersymmetric soft-collinear effective theory. |
hep-th/9803130 | Jens Wirstam | J. Grundberg and J. Wirstam | Nonperturbative SUSY Correlators at Finite Temperature | Latex, 27 pages, 1 Postscript figure | Phys.Rev. D58 (1998) 125022 | 10.1103/PhysRevD.58.125022 | USITP-98-03 | hep-th | null | We calculate finite temperature effects on a correlation function in the two
dimensional supersymmetric nonlinear O(3) sigma model. The correlation function
violates chiral symmetry and at zero temperature it has been shown to be a
constant, which gives rise to a double-valued condensate. Within the bilinear
approximation we find an exact result in a one-instanton background at finite
temperature. In contrast to the result at zero temperature we find that the
correlation function decays exponentially at large distances.
| [
{
"created": "Mon, 16 Mar 1998 17:45:31 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Grundberg",
"J.",
""
],
[
"Wirstam",
"J.",
""
]
] | We calculate finite temperature effects on a correlation function in the two dimensional supersymmetric nonlinear O(3) sigma model. The correlation function violates chiral symmetry and at zero temperature it has been shown to be a constant, which gives rise to a double-valued condensate. Within the bilinear approximation we find an exact result in a one-instanton background at finite temperature. In contrast to the result at zero temperature we find that the correlation function decays exponentially at large distances. |
hep-th/0507010 | Alexandros Kehagias | Alex Kehagias and Constantina Mattheopoulou | Scalar-Induced Compactifications in Higher Dimensional Supergravities | 25 pages, JHEP3 | JHEP 0508 (2005) 106 | 10.1088/1126-6708/2005/08/106 | null | hep-th | null | We discuss compactifications of higher dimensional supergravities which are
induced by scalars. In particular, we consider vector multiplets coupled to the
supergravity multiplet in the case of D=9, 8 and D=7 minimal supergravities.
These vector multiplets contain scalars, which parametrize coset spaces of the
general form SO(10-D,n)/SO(10-D)xSO(n), where n is the number of vector
multiplets. We discuss the compactification of the supergravity theory to D-2
dimensons, which is induced by non-trivial vacuum scalar field configurations.
There are singular and non-singular solutions, which preserve half of the
supersymmetries.
| [
{
"created": "Fri, 1 Jul 2005 10:58:24 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Kehagias",
"Alex",
""
],
[
"Mattheopoulou",
"Constantina",
""
]
] | We discuss compactifications of higher dimensional supergravities which are induced by scalars. In particular, we consider vector multiplets coupled to the supergravity multiplet in the case of D=9, 8 and D=7 minimal supergravities. These vector multiplets contain scalars, which parametrize coset spaces of the general form SO(10-D,n)/SO(10-D)xSO(n), where n is the number of vector multiplets. We discuss the compactification of the supergravity theory to D-2 dimensons, which is induced by non-trivial vacuum scalar field configurations. There are singular and non-singular solutions, which preserve half of the supersymmetries. |
hep-th/0503227 | Jean Alexandre | Jean Alexandre | A note on Liouville theory | 5 pages | null | null | null | hep-th | null | An exact differential equation is derived for the evolution of the Liouville
effective action with the mass parameter. This derivation is based on
properties of the exponential potential and some consequences of the equation
are discussed.
| [
{
"created": "Tue, 29 Mar 2005 15:32:59 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2005 14:15:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Alexandre",
"Jean",
""
]
] | An exact differential equation is derived for the evolution of the Liouville effective action with the mass parameter. This derivation is based on properties of the exponential potential and some consequences of the equation are discussed. |
2007.10362 | Osmin Lacombe | Ignatios Antoniadis, Osmin Lacombe, George K. Leontaris | Inflation near a metastable de Sitter vacuum from moduli stabilisation | 25 pages, 9 figures; v2: published version, minor corrections | null | 10.1140/epjc/s10052-020-08581-9 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the cosmological properties of a metastable de Sitter vacuum
obtained recently in the framework of type IIB flux compactifications in the
presence of three D7-brane stacks, based on perturbative quantum corrections at
both world-sheet and string loop level that are dominant at large volume and
weak coupling. In the simplest case, the model has one effective parameter
controlling the shape of the potential of the inflaton which is identified with
the volume modulus. The model provides a phenomenological successful
small-field inflation for a value of the parameter that makes the minimum very
shallow and near the maximum. The horizon exit is close to the inflection point
while most of the required e-folds of the Universe expansion are generated near
the minimum, with a prediction for the ratio of tensor-to-scalar primordial
fluctuations $r \sim 4 \times 10^{-4}$. Despite its shallowness, the minimum
turns out to be practically stable. We show that it can decay only through the
Hawking-Moss instanton leading to an extremely long decay rate. Obviously, in
order to end inflation and obtain a realistic model, new low-energy physics is
needed around the minimum, at intermediate energy scales of order $10^{12}$
GeV. An attractive possibility is by introducing a "waterfall"' field within
the framework of hybrid inflation.
| [
{
"created": "Mon, 20 Jul 2020 18:00:08 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2020 14:45:28 GMT",
"version": "v2"
}
] | 2020-11-04 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Lacombe",
"Osmin",
""
],
[
"Leontaris",
"George K.",
""
]
] | We study the cosmological properties of a metastable de Sitter vacuum obtained recently in the framework of type IIB flux compactifications in the presence of three D7-brane stacks, based on perturbative quantum corrections at both world-sheet and string loop level that are dominant at large volume and weak coupling. In the simplest case, the model has one effective parameter controlling the shape of the potential of the inflaton which is identified with the volume modulus. The model provides a phenomenological successful small-field inflation for a value of the parameter that makes the minimum very shallow and near the maximum. The horizon exit is close to the inflection point while most of the required e-folds of the Universe expansion are generated near the minimum, with a prediction for the ratio of tensor-to-scalar primordial fluctuations $r \sim 4 \times 10^{-4}$. Despite its shallowness, the minimum turns out to be practically stable. We show that it can decay only through the Hawking-Moss instanton leading to an extremely long decay rate. Obviously, in order to end inflation and obtain a realistic model, new low-energy physics is needed around the minimum, at intermediate energy scales of order $10^{12}$ GeV. An attractive possibility is by introducing a "waterfall"' field within the framework of hybrid inflation. |
1008.3215 | Yi-Xin Chen | Yi-Xin Chen, Jian-Long Li, Yong-Qiang Wang | Thermodynamics for Kodama observer in general spherically symmetric
spacetimes | 18 pages, typos corrected, references added | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By following the spirit of arXiv:1003.5665, we define a new Tolman
temperature of Kodama observer directly related to its acceleration. We give a
generalized integral form of thermodynamics relation on virtual sphere of
constant $r$ in non-static spherical symmetric spacetimes. This relation
contains work term contributed by `redshift work density', `pressure density'
and `gravitational work density'. We illustrate it in RN black hole,
Dilaton-Maxwell-Einstein black hole and Vaidya black hole. We argue that the
co-moving observers are not physically related to Kodama observers in FRW
universe unless in the vacuum case. We also find that a generalized
differential form of first law is difficult to be well defined, and it would
not give more information than the integral form.
| [
{
"created": "Thu, 19 Aug 2010 04:51:04 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Sep 2010 05:44:46 GMT",
"version": "v2"
}
] | 2010-09-21 | [
[
"Chen",
"Yi-Xin",
""
],
[
"Li",
"Jian-Long",
""
],
[
"Wang",
"Yong-Qiang",
""
]
] | By following the spirit of arXiv:1003.5665, we define a new Tolman temperature of Kodama observer directly related to its acceleration. We give a generalized integral form of thermodynamics relation on virtual sphere of constant $r$ in non-static spherical symmetric spacetimes. This relation contains work term contributed by `redshift work density', `pressure density' and `gravitational work density'. We illustrate it in RN black hole, Dilaton-Maxwell-Einstein black hole and Vaidya black hole. We argue that the co-moving observers are not physically related to Kodama observers in FRW universe unless in the vacuum case. We also find that a generalized differential form of first law is difficult to be well defined, and it would not give more information than the integral form. |
1011.5231 | Michael Gary | Richard Eager, Michael Gary and Matthew M. Roberts | Can you hear the shape of dual geometries? | 17 pages | null | null | IPMU 10-0213 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the sub-leading terms in the Tian-Yau-Zelditch asymptotic
expansion of the partition function for dual giant gravitons on AdS5 $\times$
L5 and provide a bulk interpretation in terms of curvature invariants. We
accomplish this by relating the partition function of dual giant gravitons to
the Hilbert series for mesonic operators in the CFT. The coefficients of the
subleading terms encode integrated curvature invariants of L5. In the same
spirit of Martelli, Sparks and Yau, we are able to compute these integrated
curvature invariants without explicit knowledge of the Sasaki-Einstein metric
on L5. These curvature invariants contribute to the 1/N^2 corrections of the
difference of the 4D anomaly coefficients a and c recently found by Liu and
Minasian, which we now have a purely field theoretic method of calculating.
| [
{
"created": "Tue, 23 Nov 2010 21:05:25 GMT",
"version": "v1"
}
] | 2010-11-25 | [
[
"Eager",
"Richard",
""
],
[
"Gary",
"Michael",
""
],
[
"Roberts",
"Matthew M.",
""
]
] | We compute the sub-leading terms in the Tian-Yau-Zelditch asymptotic expansion of the partition function for dual giant gravitons on AdS5 $\times$ L5 and provide a bulk interpretation in terms of curvature invariants. We accomplish this by relating the partition function of dual giant gravitons to the Hilbert series for mesonic operators in the CFT. The coefficients of the subleading terms encode integrated curvature invariants of L5. In the same spirit of Martelli, Sparks and Yau, we are able to compute these integrated curvature invariants without explicit knowledge of the Sasaki-Einstein metric on L5. These curvature invariants contribute to the 1/N^2 corrections of the difference of the 4D anomaly coefficients a and c recently found by Liu and Minasian, which we now have a purely field theoretic method of calculating. |
hep-th/9710233 | Elena Gubankova | E.L.Gubankova, F.Wegner | Flow equations for QED in the light front dynamics | 15 pages, Latex, 3 pictures, Submitted to Phys.Rev.D | Phys.Rev. D58 (1998) 025012 | 10.1103/PhysRevD.58.025012 | null | hep-th | null | The method of flow equations is applied to QED on the light front. Requiring
that the partical number conserving terms in the Hamiltonian are considered to
be diagonal and the other terms off-diagonal an effective Hamiltonian is
obtained which reduces the positronium problem to a two-particle problem, since
the particle number violating contributions are eliminated. No infrared
divergencies appear. The ultraviolet renormalization can be performed
simultaneously.
| [
{
"created": "Thu, 30 Oct 1997 11:40:29 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Oct 1997 11:05:49 GMT",
"version": "v2"
},
{
"created": "Sun, 1 Feb 1998 12:30:51 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Gubankova",
"E. L.",
""
],
[
"Wegner",
"F.",
""
]
] | The method of flow equations is applied to QED on the light front. Requiring that the partical number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained which reduces the positronium problem to a two-particle problem, since the particle number violating contributions are eliminated. No infrared divergencies appear. The ultraviolet renormalization can be performed simultaneously. |
2007.08894 | Henry Ki{\ss}ler | Henry Ki{\ss}ler | Off-shell Diagrammatics for Quantum Gravity | null | Phys. Lett. B 816 (2021) 136219 | 10.1016/j.physletb.2021.136219 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article reports on how diagrammatic identities of Yang--Mills theory
translate to diagrammatics for pure gravity. For this, we consider the
Einstein--Hilbert action and follow the approach of Capper, Leibbrandt, and
Medrano and expand the inverse metric density around the Minkowski metric. By
analogy to Yang--Mills theory, cancellation identities are constructed for the
graviton as well as the ghost vertices up to the valency of six.
| [
{
"created": "Fri, 17 Jul 2020 10:51:30 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Mar 2021 15:38:19 GMT",
"version": "v2"
}
] | 2021-03-25 | [
[
"Kißler",
"Henry",
""
]
] | This article reports on how diagrammatic identities of Yang--Mills theory translate to diagrammatics for pure gravity. For this, we consider the Einstein--Hilbert action and follow the approach of Capper, Leibbrandt, and Medrano and expand the inverse metric density around the Minkowski metric. By analogy to Yang--Mills theory, cancellation identities are constructed for the graviton as well as the ghost vertices up to the valency of six. |
hep-th/9611146 | Mueller-Kirsten | Jian-Ge Zhou, H.J.W. Mueller-Kirsten, J.-Q. Liang and F. Zimmerschied | M-branes, anti-M-branes and nonextremal black holes | 20 pages, LaTex | Nucl.Phys. B487 (1997) 155-173 | 10.1016/S0550-3213(96)00664-5 | KL-TH 96/11 | hep-th gr-qc | null | An M-brane and anti-M-brane scheme is proposed to study nonextremal 4D and 5D
black holes. The improved nonextremal intersecting M-brane solutions proposed
here, involve two sets of harmonic functions. The constraints among the
pressures are found, and new features in the M-brane and anti-M-brane picture
are demonstrated, which resolve the discrepancy in the number of free
parameters in the D-brane picture. In terms of the ``numbers'' of M-branes and
anti-M-branes, the prefactors of the entropies are found to be model
independent, and the Bekenstein-Hawking entropy assumes the duality invariant
form which is consistent with the microscopic explanation of the black hole
entropy.
| [
{
"created": "Tue, 19 Nov 1996 14:14:26 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Zhou",
"Jian-Ge",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
],
[
"Liang",
"J. -Q.",
""
],
[
"Zimmerschied",
"F.",
""
]
] | An M-brane and anti-M-brane scheme is proposed to study nonextremal 4D and 5D black holes. The improved nonextremal intersecting M-brane solutions proposed here, involve two sets of harmonic functions. The constraints among the pressures are found, and new features in the M-brane and anti-M-brane picture are demonstrated, which resolve the discrepancy in the number of free parameters in the D-brane picture. In terms of the ``numbers'' of M-branes and anti-M-branes, the prefactors of the entropies are found to be model independent, and the Bekenstein-Hawking entropy assumes the duality invariant form which is consistent with the microscopic explanation of the black hole entropy. |
hep-th/0511216 | Radoslav Rashkov | N.P. Bobev, H. Dimov and R.C. Rashkov | Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of
KK Modes | 31 pages, references added, new solutions in Section 7 presented, an
appendix added, to appear in JHEP | JHEP0602:064,2006 | 10.1088/1126-6708/2006/02/064 | null | hep-th | null | In this paper we investigate the recently found $\gamma$-deformed
Maldacena-Nunez background by studying the behavior of different semiclassical
string configurations. This background is conjectured to be dual to dipole
deformations of $\N=1$ SYM. We compare our results to those in the pure
Maldacena-Nunez background and show that the energies of our string
configurations are higher than in the undeformed background. Thinking in the
lines of (hep-th/0505100) we argue that this is an evidence for better
decoupling of the Kaluza-Klein modes from the pure SYM theory excitations.
Moreover we are able to find a limit of the background in which the string
energy is independent of $\gamma$, these strings are interpreted as
corresponding to pure gauge theory effects.
| [
{
"created": "Tue, 22 Nov 2005 07:29:55 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Nov 2005 13:42:06 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Feb 2006 12:15:04 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Bobev",
"N. P.",
""
],
[
"Dimov",
"H.",
""
],
[
"Rashkov",
"R. C.",
""
]
] | In this paper we investigate the recently found $\gamma$-deformed Maldacena-Nunez background by studying the behavior of different semiclassical string configurations. This background is conjectured to be dual to dipole deformations of $\N=1$ SYM. We compare our results to those in the pure Maldacena-Nunez background and show that the energies of our string configurations are higher than in the undeformed background. Thinking in the lines of (hep-th/0505100) we argue that this is an evidence for better decoupling of the Kaluza-Klein modes from the pure SYM theory excitations. Moreover we are able to find a limit of the background in which the string energy is independent of $\gamma$, these strings are interpreted as corresponding to pure gauge theory effects. |
0809.0639 | Jesus Escobar | J. A. Escobar, Christoph Luhn | The Flavor Group Delta(6n^2) | 20 pages | J.Math.Phys.50:013524,2009 | 10.1063/1.3046563 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Many non-Abelian finite subgroups of SU (3) have been used to explain the
flavor structure of the Standard Model. In order to systematize and classify
successful models, a detailed knowledge of their mathematical structure is
necessary. In this paper we shall therefore look closely at the series of
finite non-Abelian groups known as Delta(6n^2), its smallest members being S3
(n = 1) and S4 (n = 2). For arbitrary n, we determine the conjugacy classes,
the irreducible representations, the Kronecker products as well as the
Clebsch-Gordan coefficients.
| [
{
"created": "Wed, 3 Sep 2008 15:06:29 GMT",
"version": "v1"
}
] | 2009-02-10 | [
[
"Escobar",
"J. A.",
""
],
[
"Luhn",
"Christoph",
""
]
] | Many non-Abelian finite subgroups of SU (3) have been used to explain the flavor structure of the Standard Model. In order to systematize and classify successful models, a detailed knowledge of their mathematical structure is necessary. In this paper we shall therefore look closely at the series of finite non-Abelian groups known as Delta(6n^2), its smallest members being S3 (n = 1) and S4 (n = 2). For arbitrary n, we determine the conjugacy classes, the irreducible representations, the Kronecker products as well as the Clebsch-Gordan coefficients. |
hep-th/9605106 | Stanislav Alexeyev | S.O.Alexeyev, M.V.Pomazanov | Black hole solutions with dilatonic hair in higher curvature gravity | 10 pages, 6 figures, RevTeX, figures in LaTeX or PostScript are
avaible upon request via e-mail address: alexeyev@grg2.phys.msu.su, Submitted
to Phys.Rev.D | Phys.Rev.D55:2110-2118,1997 | 10.1103/PhysRevD.55.2110 | null | hep-th gr-qc | null | A new numerical integration method for examining a black hole structure was
realized. Black hole solutions with dilatonic hair of 4D low energy effective
SuperString Theory action with Gauss-Bonnet quadratic curvature contribution
were studied, using this method, inside and outside the event horizon.
Thermodynamical properties of this solution were also studied.
| [
{
"created": "Wed, 15 May 1996 20:19:08 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Alexeyev",
"S. O.",
""
],
[
"Pomazanov",
"M. V.",
""
]
] | A new numerical integration method for examining a black hole structure was realized. Black hole solutions with dilatonic hair of 4D low energy effective SuperString Theory action with Gauss-Bonnet quadratic curvature contribution were studied, using this method, inside and outside the event horizon. Thermodynamical properties of this solution were also studied. |
hep-th/0503004 | Jen-Chi Lee | Jen-Chi Lee | Heterotic massive Einstein-Yang-Mills-type symmetry and Ward identity | null | Phys.Lett. B337 (1994) 69-73 | 10.1016/0370-2693(94)91445-1 | null | hep-th | null | We show that there exist spontaneously broken symmetries for massive modes
with transformation parameters containing both Einstein and E8xE8 (or SO(32))
Yang-Mills indices in the 10D Heterotic string. The corresponding on-shell Ward
identities are also constructed.
| [
{
"created": "Tue, 1 Mar 2005 06:21:25 GMT",
"version": "v1"
},
{
"created": "Mon, 9 May 2005 16:49:03 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Lee",
"Jen-Chi",
""
]
] | We show that there exist spontaneously broken symmetries for massive modes with transformation parameters containing both Einstein and E8xE8 (or SO(32)) Yang-Mills indices in the 10D Heterotic string. The corresponding on-shell Ward identities are also constructed. |
hep-th/9707103 | Seth Rosenberg | Seth Rosenberg | Testing causality violation on spacetimes with closed timelike curves | 28 pages, 8 figures, latex | Phys.Rev. D57 (1998) 3365-3377 | 10.1103/PhysRevD.57.3365 | UCSBTH-97-17 | hep-th gr-qc | null | Generalized quantum mechanics is used to examine a simple two-particle
scattering experiment in which there is a bounded region of closed timelike
curves (CTCs) in the experiment's future. The transitional probability is shown
to depend on the existence and distribution of the CTCs. The effect is
therefore acausal, since the CTCs are in the experiment's causal future. The
effect is due to the non-unitary evolution of the pre- and post-scattering
particles as they pass through the region of CTCs. We use the time-machine
spacetime developed by Politzer [1], in which CTCs are formed due to the
identification of a single spatial region at one time with the same region at
another time. For certain initial data, the total cross-section of a scattering
experiment is shown to deviate from the standard value (the value predicted if
no CTCs existed). It is shown that if the time machines are small, sparsely
distributed, or far away, then the deviation in the total cross-section may be
negligible as compared to the experimental error of even the most accurate
measurements of cross-sections. For a spacetime with CTCs at all points, or one
where microscopic time machines pervade the spacetime in the final moments
before the big crunch, the total cross-section is shown to agree with the
standard result (no CTCs) due to a cancellation effect.
| [
{
"created": "Thu, 10 Jul 1997 23:49:04 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 1997 00:05:12 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Rosenberg",
"Seth",
""
]
] | Generalized quantum mechanics is used to examine a simple two-particle scattering experiment in which there is a bounded region of closed timelike curves (CTCs) in the experiment's future. The transitional probability is shown to depend on the existence and distribution of the CTCs. The effect is therefore acausal, since the CTCs are in the experiment's causal future. The effect is due to the non-unitary evolution of the pre- and post-scattering particles as they pass through the region of CTCs. We use the time-machine spacetime developed by Politzer [1], in which CTCs are formed due to the identification of a single spatial region at one time with the same region at another time. For certain initial data, the total cross-section of a scattering experiment is shown to deviate from the standard value (the value predicted if no CTCs existed). It is shown that if the time machines are small, sparsely distributed, or far away, then the deviation in the total cross-section may be negligible as compared to the experimental error of even the most accurate measurements of cross-sections. For a spacetime with CTCs at all points, or one where microscopic time machines pervade the spacetime in the final moments before the big crunch, the total cross-section is shown to agree with the standard result (no CTCs) due to a cancellation effect. |
hep-th/0007215 | Yaron Oz | Mohsen Alishahiha, Yaron Oz and Jorge G. Russo | Supergravity and Light-Like Non-commutativity | Latex, 15 pages; ref. added | JHEP 0009:002,2000 | 10.1088/1126-6708/2000/09/002 | CERN-TH/2000-222 | hep-th | null | We construct dual supergravity descriptions of field theories and little
string theories with light-like non-commutativity. The field theories are
realized on the world-volume of Dp branes with light-like NS $B$ field and M5
branes with light-like $C$ field. The little string theories are realized on
the world-volume of NS5 branes with light-like RR $A$ fields. The supergravity
backgrounds are closely related to the $A=0,B=0,C=0$ backgrounds. We discuss
the implications of these results. We also construct dual supergravity
descriptions of ODp theories realized on the worldvolume of NS5 branes with RR
backgrounds.
| [
{
"created": "Wed, 26 Jul 2000 21:56:47 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Aug 2000 12:11:28 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Oz",
"Yaron",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We construct dual supergravity descriptions of field theories and little string theories with light-like non-commutativity. The field theories are realized on the world-volume of Dp branes with light-like NS $B$ field and M5 branes with light-like $C$ field. The little string theories are realized on the world-volume of NS5 branes with light-like RR $A$ fields. The supergravity backgrounds are closely related to the $A=0,B=0,C=0$ backgrounds. We discuss the implications of these results. We also construct dual supergravity descriptions of ODp theories realized on the worldvolume of NS5 branes with RR backgrounds. |
1501.05378 | Pei-Ming Ho | Pei-Ming Ho | Generalized Yang-Mills Theory and Gravity | 25 pages, Latex, reference added, minor modification | Phys. Rev. D 93, 044062 (2016) | 10.1103/PhysRevD.93.044062 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a generalization of Yang-Mills theory for which the symmetry
algebra does not have to be factorized as mutually commuting algebras of a
finite-dimensional Lie algebra and the algebra of functions on base space. The
algebra of diffeomorphism can be constructed as an example, and a class of
gravity theories can be interpreted as generalized Yang-Mills theories. These
theories in general include a graviton, a dilaton and a rank-2 antisymmetric
field, although Einstein gravity is also included as a special case. We present
calculations suggesting that the connection in scattering amplitudes between
Yang-Mills theory and gravity via BCJ duality can be made more manifest in this
formulation.
| [
{
"created": "Thu, 22 Jan 2015 03:19:05 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Feb 2015 09:49:28 GMT",
"version": "v2"
},
{
"created": "Mon, 18 May 2015 04:24:53 GMT",
"version": "v3"
},
{
"created": "Sat, 30 Jan 2016 07:23:09 GMT",
"version": "v4"
}
] | 2016-03-02 | [
[
"Ho",
"Pei-Ming",
""
]
] | We propose a generalization of Yang-Mills theory for which the symmetry algebra does not have to be factorized as mutually commuting algebras of a finite-dimensional Lie algebra and the algebra of functions on base space. The algebra of diffeomorphism can be constructed as an example, and a class of gravity theories can be interpreted as generalized Yang-Mills theories. These theories in general include a graviton, a dilaton and a rank-2 antisymmetric field, although Einstein gravity is also included as a special case. We present calculations suggesting that the connection in scattering amplitudes between Yang-Mills theory and gravity via BCJ duality can be made more manifest in this formulation. |
hep-th/9312036 | Shin'ichi Nojiri | Shin'ichi Nojiri and I. Oda | Wormholes in Two Dimensional Dilaton Gravity | INS-Rep.-1012, NDA-FP-13/93, OCHA-PP-37, LATEX file, 9pp | Mod.Phys.Lett. A9 (1994) 959-966 | 10.1142/S0217732394000794 | null | hep-th | null | It is shown that the general solution of classical equations of motion in two
dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger
(CGHS) includes a Lorentzian wormhole solution in addition to a black hole
solution. We also show that matter perturbation of the wormhole by a shock wave
leads to the formation of a black hole where the curvature singularity is
cloaked by the global event horizon. It is also argued that the classical
wormhole would be stable against quantum corrections.
| [
{
"created": "Sat, 4 Dec 1993 11:52:00 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Oda",
"I.",
""
]
] | It is shown that the general solution of classical equations of motion in two dimensional dilaton gravity proposed by Callan, Giddings, Harvey and Strominger (CGHS) includes a Lorentzian wormhole solution in addition to a black hole solution. We also show that matter perturbation of the wormhole by a shock wave leads to the formation of a black hole where the curvature singularity is cloaked by the global event horizon. It is also argued that the classical wormhole would be stable against quantum corrections. |
1312.2075 | Deyou Chen | Deyou Chen | Dirac particles' tunnelling from 5-dimensional rotating black strings
influenced by the generalized uncertainty principle | 11pages | The European Physical Journal C (2014) 74:2687 | 10.1140/epjc/s10052-013-2687-0 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/3.0/ | The standard Hawking formula predicts the complete evaporation of black
holes. Taking into account effects of quantum gravity, we investigate fermions'
tunnelling from a 5-dimensional rotating black string. The temperature is
determined not only by the string, but also affected by the quantum number of
the emitted fermion and the effect of the extra spatial dimension. The quantum
correction slows down the increase of the temperature, which naturally leads to
the remnant in the evaporation.
| [
{
"created": "Sat, 7 Dec 2013 09:18:49 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Chen",
"Deyou",
""
]
] | The standard Hawking formula predicts the complete evaporation of black holes. Taking into account effects of quantum gravity, we investigate fermions' tunnelling from a 5-dimensional rotating black string. The temperature is determined not only by the string, but also affected by the quantum number of the emitted fermion and the effect of the extra spatial dimension. The quantum correction slows down the increase of the temperature, which naturally leads to the remnant in the evaporation. |
1910.12224 | Tom\'a\v{s} Brauner | Tomas Brauner | Noether currents of locally equivalent symmetries | 8 pages; pedagogical exposition of aspects of the Noether theorem in
classical field theory; Author's Original of a paper to be published in
Physica Scripta | Phys. Scr. 95 (2020) 035004 | 10.1088/1402-4896/ab50a5 | null | hep-th hep-ph physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Local symmetry transformations play an important role for establishing the
existence and form of a conserved (Noether) current in systems with a global
continuous symmetry. We explain how this fact leads to the existence of linear
relations between Noether currents of distinct global symmetries that coincide
on the local level, thus generalizing the well-known relationship $\vec L=\vec
r\times\vec p$ between momentum $\vec p$ and angular momentum $\vec L$. As a
byproduct, we find a natural interpretation for the discrepancy between the
canonical and metric energy-momentum tensors in theories of particles with
spin. A symmetric energy-momentum tensor can thus be obtained from the Noether
procedure without adding any ad hoc corrections or imposing additional
constraints such as gauge invariance in Maxwell's electrodynamics.
| [
{
"created": "Sun, 27 Oct 2019 09:59:09 GMT",
"version": "v1"
}
] | 2020-02-07 | [
[
"Brauner",
"Tomas",
""
]
] | Local symmetry transformations play an important role for establishing the existence and form of a conserved (Noether) current in systems with a global continuous symmetry. We explain how this fact leads to the existence of linear relations between Noether currents of distinct global symmetries that coincide on the local level, thus generalizing the well-known relationship $\vec L=\vec r\times\vec p$ between momentum $\vec p$ and angular momentum $\vec L$. As a byproduct, we find a natural interpretation for the discrepancy between the canonical and metric energy-momentum tensors in theories of particles with spin. A symmetric energy-momentum tensor can thus be obtained from the Noether procedure without adding any ad hoc corrections or imposing additional constraints such as gauge invariance in Maxwell's electrodynamics. |
hep-th/9211131 | Stanislav Pakuliak | N.L.Khviengia | Large\bf $ w_{1+\infty} $--type constraints in two--matrix and
Kontsevich model--different approach | LaTeX, 8p | null | null | null | hep-th | null | The technique of $Q$-polinomials are used to derive the $w$- constraints in
the two-matrix and Kontsevich-like model at finite $N$. These constraints are
closed and form Lie algebra. They are associated with the matrices, $\lambda
^n{\partial}_\lambda^m$ with $n,m\geq 0$. In the case of two-matrix model they
can be reduced to the $W$-constraints of \cite{8}. For the case of
Kontsevich-like model and two-matrix model with the finite polinomial
potential, the number of constraints are limited by the power of the finite
matrix potential i.e. the spin of $w$-s coincide with that power. This
statement is the natural consequence of the form of constraints.
| [
{
"created": "Sun, 29 Nov 1992 02:20:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khviengia",
"N. L.",
""
]
] | The technique of $Q$-polinomials are used to derive the $w$- constraints in the two-matrix and Kontsevich-like model at finite $N$. These constraints are closed and form Lie algebra. They are associated with the matrices, $\lambda ^n{\partial}_\lambda^m$ with $n,m\geq 0$. In the case of two-matrix model they can be reduced to the $W$-constraints of \cite{8}. For the case of Kontsevich-like model and two-matrix model with the finite polinomial potential, the number of constraints are limited by the power of the finite matrix potential i.e. the spin of $w$-s coincide with that power. This statement is the natural consequence of the form of constraints. |
2002.03745 | Stefano Bellucci | S. Bellucci, W. Oliveira dos Santos and E. R. Bezerra de Mello | Induced fermionic current in AdS spacetime in the presence of a cosmic
string and a compactified dimension | 21 pages, 5 figures, PACS numbers: 03.70.+k 04.62.+v 04.20.Gz
11.27.+d, replaced typo in paragraph after eq. (3.18) | Eur. Phys. J. C 80, 963 (2020) | 10.1140/epjc/s10052-020-08505-7 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we consider a massive charged fermionic quantum field and
investigate the current densities induced by a magnetic flux running along the
core of an idealized cosmic string in the background geometry of a
5-dimensional anti-de Sitter spacetime, assuming that an extra dimension is
compactified. Along the compact dimension quasi-periodicity condition is
imposed on the field with a general phase. Moreover, we admit the presence of a
magnetic flux enclosed by the compactified axis. The latter gives rise to
Ahanorov-Bohm-like effect on the vacuum expectation value of the currents. In
this setup, only azimuthal and axial current densities take place. The former
presents two contributions, with the first one due to the cosmic string in a
5-dimensional AdS spacetime without compact dimension, and the second one being
induced by the compactification itself. The latter is an odd function of the
magnetic flux along the cosmic string and an even function of the magnetic flux
enclosed by the compactified axis with period equal to the quantum flux. As to
the induced axial current, it is an even function of the magnetic flux along
the string's core and an odd function of the magnetic flux enclosed by the
compactification perimeter. For untwisted and twisted field along compact
dimension, the axial current vanishes. The massless field case is presented as
well as some asymptotic limits for the parameters of the model.
| [
{
"created": "Mon, 10 Feb 2020 13:44:58 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Feb 2020 14:38:45 GMT",
"version": "v2"
},
{
"created": "Mon, 17 Feb 2020 15:56:22 GMT",
"version": "v3"
}
] | 2020-11-17 | [
[
"Bellucci",
"S.",
""
],
[
"Santos",
"W. Oliveira dos",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] | In this paper, we consider a massive charged fermionic quantum field and investigate the current densities induced by a magnetic flux running along the core of an idealized cosmic string in the background geometry of a 5-dimensional anti-de Sitter spacetime, assuming that an extra dimension is compactified. Along the compact dimension quasi-periodicity condition is imposed on the field with a general phase. Moreover, we admit the presence of a magnetic flux enclosed by the compactified axis. The latter gives rise to Ahanorov-Bohm-like effect on the vacuum expectation value of the currents. In this setup, only azimuthal and axial current densities take place. The former presents two contributions, with the first one due to the cosmic string in a 5-dimensional AdS spacetime without compact dimension, and the second one being induced by the compactification itself. The latter is an odd function of the magnetic flux along the cosmic string and an even function of the magnetic flux enclosed by the compactified axis with period equal to the quantum flux. As to the induced axial current, it is an even function of the magnetic flux along the string's core and an odd function of the magnetic flux enclosed by the compactification perimeter. For untwisted and twisted field along compact dimension, the axial current vanishes. The massless field case is presented as well as some asymptotic limits for the parameters of the model. |
hep-th/0401195 | Dionisio Bazeia | D. Bazeia, R. Menezes, J.G. Ramos | Regular and Periodic Tachyon Kinks | 10 pages, 1 figure. Version to be published in Mod. Phys. Lett. A | Mod.Phys.Lett. A20 (2005) 467-475 | 10.1142/S0217732305015525 | null | hep-th | null | We search for regular tachyon kinks in an extended model, which includes the
tachyon action recently proposed to describe the tachyon field. The extended
model that we propose adds a new contribution to the tachyon action, and seems
to enrich the present scenario for the tachyon field. We have found stable
tachyon kinks of regular profile, which may appropriately lead to the singular
kink found by Sen sometime ago. Also, under specific conditions we may find
periodic array of kink-antikink configurations.
| [
{
"created": "Mon, 26 Jan 2004 15:25:01 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Oct 2004 20:43:59 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Bazeia",
"D.",
""
],
[
"Menezes",
"R.",
""
],
[
"Ramos",
"J. G.",
""
]
] | We search for regular tachyon kinks in an extended model, which includes the tachyon action recently proposed to describe the tachyon field. The extended model that we propose adds a new contribution to the tachyon action, and seems to enrich the present scenario for the tachyon field. We have found stable tachyon kinks of regular profile, which may appropriately lead to the singular kink found by Sen sometime ago. Also, under specific conditions we may find periodic array of kink-antikink configurations. |
1509.01203 | Peter Millington | Jean Alexandre, Carl M. Bender and Peter Millington | Non-Hermitian extension of gauge theories and implications for neutrino
physics | 23 pages, 1 figure, JHEP style; corrections to match published
version | JHEP11(2015)111 | 10.1007/JHEP11(2015)111 | KCL-PH-TH/2015-38, TUM-HEP-1010-15 | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An extension of QED is considered in which the Dirac fermion has both
Hermitian and anti-Hermitian mass terms, as well as both vector and
axial-vector couplings to the gauge field. Gauge invariance is restored when
the Hermitian and anti-Hermitian masses are of equal magnitude, and the theory
reduces to that of a single massless Weyl fermion. An analogous non-Hermitian
Yukawa theory is considered, and it is shown that this model can explain the
smallness of the light-neutrino masses and provide an additional source of
leptonic CP violation.
| [
{
"created": "Thu, 3 Sep 2015 18:42:05 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Nov 2015 09:41:48 GMT",
"version": "v2"
}
] | 2015-11-23 | [
[
"Alexandre",
"Jean",
""
],
[
"Bender",
"Carl M.",
""
],
[
"Millington",
"Peter",
""
]
] | An extension of QED is considered in which the Dirac fermion has both Hermitian and anti-Hermitian mass terms, as well as both vector and axial-vector couplings to the gauge field. Gauge invariance is restored when the Hermitian and anti-Hermitian masses are of equal magnitude, and the theory reduces to that of a single massless Weyl fermion. An analogous non-Hermitian Yukawa theory is considered, and it is shown that this model can explain the smallness of the light-neutrino masses and provide an additional source of leptonic CP violation. |
2311.00639 | Chang Liu | Antonio M. Garc\'ia-Garc\'ia, Chang Liu, Jacobus J. M. Verbaarschot | Sparsity independent Lyapunov exponent in the Sachdev-Ye-Kitaev model | 8 pages, 6 figures | null | null | null | hep-th cond-mat.dis-nn quant-ph | http://creativecommons.org/licenses/by-sa/4.0/ | The saturation of a recently proposed universal bound on the Lyapunov
exponent has been conjectured to signal the existence of a gravity dual. This
saturation occurs in the low temperature limit of the dense Sachdev-Ye-Kitaev
(SYK) model, $N$ Majorana fermions with $q$-body ($q>2$) infinite-range
interactions. We calculate certain Out of Time Order Correlators (OTOC) for
$N\le 64$ fermions for a highly sparse SYK model and find no significant
dependence of the Lyapunov exponent on sparsity up to near the percolation
limit where the Hamiltonian breaks up into blocks. This suggests that in the
sparse case, the Lyapunov exponent also saturates the low-temperature bound. A
key ingredient to reaching $N = 64$ is the development of a novel quantum spin
model simulation library that implements highly-optimized matrix-free Krylov
subspace methods on Graphical Processing Units (GPUs). This leads to a
significantly lower simulation time as well as vastly reduced memory usage over
previous approaches, while using modest computational resources. Strong
sparsity-driven statistical fluctuations require both the use of a vastly
larger number of disorder realizations with respect to the dense limit and a
careful finite size scaling analysis. Our results potentially broadens the
landscape of theories that may have a gravity analogue.
| [
{
"created": "Wed, 1 Nov 2023 16:38:34 GMT",
"version": "v1"
}
] | 2023-11-02 | [
[
"García-García",
"Antonio M.",
""
],
[
"Liu",
"Chang",
""
],
[
"Verbaarschot",
"Jacobus J. M.",
""
]
] | The saturation of a recently proposed universal bound on the Lyapunov exponent has been conjectured to signal the existence of a gravity dual. This saturation occurs in the low temperature limit of the dense Sachdev-Ye-Kitaev (SYK) model, $N$ Majorana fermions with $q$-body ($q>2$) infinite-range interactions. We calculate certain Out of Time Order Correlators (OTOC) for $N\le 64$ fermions for a highly sparse SYK model and find no significant dependence of the Lyapunov exponent on sparsity up to near the percolation limit where the Hamiltonian breaks up into blocks. This suggests that in the sparse case, the Lyapunov exponent also saturates the low-temperature bound. A key ingredient to reaching $N = 64$ is the development of a novel quantum spin model simulation library that implements highly-optimized matrix-free Krylov subspace methods on Graphical Processing Units (GPUs). This leads to a significantly lower simulation time as well as vastly reduced memory usage over previous approaches, while using modest computational resources. Strong sparsity-driven statistical fluctuations require both the use of a vastly larger number of disorder realizations with respect to the dense limit and a careful finite size scaling analysis. Our results potentially broadens the landscape of theories that may have a gravity analogue. |
hep-th/0608150 | Dmitry Roytenberg | Dmitry Roytenberg | AKSZ-BV Formalism and Courant Algebroid-induced Topological Field
Theories | 13 pages, based on lectures at Rencontres mathematiques de Glanon
2003 | Lett.Math.Phys.79:143-159,2007 | 10.1007/s11005-006-0134-y | null | hep-th math.SG | null | We give a detailed exposition of the Alexandrov-Kontsevich-Schwarz-
Zaboronsky superfield formalism using the language of graded manifolds. As a
main illustarting example, to every Courant algebroid structure we associate
canonically a three-dimensional topological sigma-model. Using the AKSZ
formalism, we construct the Batalin-Vilkovisky master action for the model.
| [
{
"created": "Mon, 21 Aug 2006 20:23:24 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Roytenberg",
"Dmitry",
""
]
] | We give a detailed exposition of the Alexandrov-Kontsevich-Schwarz- Zaboronsky superfield formalism using the language of graded manifolds. As a main illustarting example, to every Courant algebroid structure we associate canonically a three-dimensional topological sigma-model. Using the AKSZ formalism, we construct the Batalin-Vilkovisky master action for the model. |
1108.4820 | Olaf Lechtenfeld | Peter Lavrov, Olaf Lechtenfeld, Alexander Reshetnyak | Is soft breaking of BRST symmetry consistent? | 1+16 pages; v2: example of section 5 changed to R_xi gauges; v3:
small corrections to section 5, one reference added, published version | null | 10.1007/JHEP10(2011)043 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A definition of soft breaking of BRST symmetry in the field-antifield
formalism is proposed, valid for general gauge theories and arbitrary gauge
fixing. The Ward identities for the generating functionals of Green's functions
are derived, and their gauge dependence is investigated. We discuss the
Gribov-Zwanziger action for the one-parameter family of R_xi gauges. It is
argued that gauge theories with a soft breaking of BRST symmetry are
inconsistent.
| [
{
"created": "Wed, 24 Aug 2011 12:00:28 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Sep 2011 14:06:14 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Oct 2011 09:01:53 GMT",
"version": "v3"
}
] | 2015-05-30 | [
[
"Lavrov",
"Peter",
""
],
[
"Lechtenfeld",
"Olaf",
""
],
[
"Reshetnyak",
"Alexander",
""
]
] | A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green's functions are derived, and their gauge dependence is investigated. We discuss the Gribov-Zwanziger action for the one-parameter family of R_xi gauges. It is argued that gauge theories with a soft breaking of BRST symmetry are inconsistent. |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.