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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1407.5643 | Hans Jockers | Jie Gu and Hans Jockers | A note on colored HOMFLY polynomials for hyperbolic knots from WZW
models | 72 pages, 15 figures; v2: explicit HOMFLY polynomials for more knots
included, refs. added and typos corrected; v3: Appendix with sample
calculation added | Commun.Math.Phys. 338 (2015) 393-456 | 10.1007/s00220-015-2322-z | BONN-TH-2014-12 | hep-th math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the correspondence between Chern-Simons theories and Wess-Zumino-Witten
models we present the necessary tools to calculate colored HOMFLY polynomials
for hyperbolic knots. For two-bridge hyperbolic knots we derive the colored
HOMFLY invariants in terms of crossing matrices of the underlying
Wess-Zumino-Witten model. Our analysis extends previous works by incorporating
non-trivial multiplicities for the primaries appearing in the crossing
matrices, so as to describe colorings of HOMFLY invariants beyond the totally
symmetric or anti-symmetric representations of SU(N). The crossing matrices
directly relate to 6j-symbols of the quantum group U_q(su(N)). We present
powerful methods to calculate such quantum 6j-symbols for general N. This
allows us to determine previously unknown colored HOMFLY polynomials for
two-bridge hyperbolic knots. We give explicitly the HOMFLY polynomials colored
by the representation {2,1} for two-bridge hyperbolic knots with up to eight
crossings. Yet, the scope of application of our techniques goes beyond knot
theory; e.g., our findings can be used to study correlators in
Wess-Zumino-Witten conformal field theories or -- in the limit to classical
groups -- to determine color factors for Yang Mills amplitudes.
| [
{
"created": "Mon, 21 Jul 2014 20:05:19 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jul 2014 18:40:46 GMT",
"version": "v2"
},
{
"created": "Mon, 18 May 2015 13:23:30 GMT",
"version": "v3"
}
] | 2015-05-19 | [
[
"Gu",
"Jie",
""
],
[
"Jockers",
"Hans",
""
]
] | Using the correspondence between Chern-Simons theories and Wess-Zumino-Witten models we present the necessary tools to calculate colored HOMFLY polynomials for hyperbolic knots. For two-bridge hyperbolic knots we derive the colored HOMFLY invariants in terms of crossing matrices of the underlying Wess-Zumino-Witten model. Our analysis extends previous works by incorporating non-trivial multiplicities for the primaries appearing in the crossing matrices, so as to describe colorings of HOMFLY invariants beyond the totally symmetric or anti-symmetric representations of SU(N). The crossing matrices directly relate to 6j-symbols of the quantum group U_q(su(N)). We present powerful methods to calculate such quantum 6j-symbols for general N. This allows us to determine previously unknown colored HOMFLY polynomials for two-bridge hyperbolic knots. We give explicitly the HOMFLY polynomials colored by the representation {2,1} for two-bridge hyperbolic knots with up to eight crossings. Yet, the scope of application of our techniques goes beyond knot theory; e.g., our findings can be used to study correlators in Wess-Zumino-Witten conformal field theories or -- in the limit to classical groups -- to determine color factors for Yang Mills amplitudes. |
1405.5804 | I-chin Wang | Hing-Tong Cho, Kin-Wang Ng and I-Chin Wang | Inflaton fluctuations in the presence of cosmological defects | 16 pages. arXiv admin note: text overlap with arXiv:0905.2041 | JCAP 11(2014)023 | 10.1088/1475-7516/2014/11/023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum fluctuations of a free massless scalar field during
inflation in the presence of a point, line, or plane defect such as a black
hole, cosmic string, or domain wall, using a perturbative expansion in powers
of small defect parameters. We provide results for the scalar two-point
correlation functions that show explicitly a small violation of translational
invariance during inflation.
| [
{
"created": "Thu, 22 May 2014 15:56:36 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 14:52:03 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Cho",
"Hing-Tong",
""
],
[
"Ng",
"Kin-Wang",
""
],
[
"Wang",
"I-Chin",
""
]
] | We study quantum fluctuations of a free massless scalar field during inflation in the presence of a point, line, or plane defect such as a black hole, cosmic string, or domain wall, using a perturbative expansion in powers of small defect parameters. We provide results for the scalar two-point correlation functions that show explicitly a small violation of translational invariance during inflation. |
0801.0305 | Cristine Nunes Ferreira crisnfer | C. A. Ballon Bayona, Cristine N. Ferreira | Static strings in global AdS space and quark anti-quark potential | 8 pages, 8 figures. V3 with a new discussion of the relation between
the Wilson loop considered in the article and the Polyakov loops. New figures
and a correction of figure 1. Accepted for publication in PRD | Phys.Rev.D78:026004,2008 | 10.1103/PhysRevD.78.026004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the finite temperature quark anti-quark problem in a compact
space $S^{n-1}\times S^1$ by considering static strings in global $AdS_{n+1}$
space with $n\ge 3$. For high temperatures we work in the black hole metric
where two possible solutions show up : the big black hole and the small black
hole. Using the AdS/CFT correspondence, we calculate the quark anti-quark
potential (free energy) as a function of the distance. We show that this
potential can be intrepeted as confining for the $AdS$ space and deconfining
for the big black hole. We find for the small black hole a confining limit for
the potential but this solution is instable following the Hawking-Page
criteria. Our results for the free energy reinforce the Witten interpretation
of the confinement/deconfinement transition as the dual of the well-known
Hawking-Page transition.
| [
{
"created": "Tue, 1 Jan 2008 17:36:03 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jan 2008 16:38:42 GMT",
"version": "v2"
},
{
"created": "Sat, 7 Jun 2008 16:10:24 GMT",
"version": "v3"
}
] | 2008-11-07 | [
[
"Bayona",
"C. A. Ballon",
""
],
[
"Ferreira",
"Cristine N.",
""
]
] | We investigate the finite temperature quark anti-quark problem in a compact space $S^{n-1}\times S^1$ by considering static strings in global $AdS_{n+1}$ space with $n\ge 3$. For high temperatures we work in the black hole metric where two possible solutions show up : the big black hole and the small black hole. Using the AdS/CFT correspondence, we calculate the quark anti-quark potential (free energy) as a function of the distance. We show that this potential can be intrepeted as confining for the $AdS$ space and deconfining for the big black hole. We find for the small black hole a confining limit for the potential but this solution is instable following the Hawking-Page criteria. Our results for the free energy reinforce the Witten interpretation of the confinement/deconfinement transition as the dual of the well-known Hawking-Page transition. |
1704.04427 | Jos\'e Alejandro Rosabal Rodr\'iguez | G. Aldazabal, E. Andres, Martin Mayo and J. A. Rosabal | Gauge symmetry enhancing-breaking from a Double Field Theory perspective | Minor corrections, extra comments, and references added | null | 10.1007/JHEP07(2017)045 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gauge symmetry enhancing, at specific points of the compactification space,
is a distinguished feature of string theory. In this work we discuss the
breaking of such symmetries with tools provided by Double Field Theory (DFT).
As a main guiding example we discuss the bosonic string compactified on a
circle where, at the self dual radio the generic $U(1)\times U(1)$ gauge
symmetry becomes enhanced to $SU(2)\times SU(2)$. We show that the
enhancing-breaking of the gauge symmetry can be understood through a dependence
of gauge structure constants (fluxes in DFT) on moduli. This dependence, in DFT
description, is encoded in the generalized tangent frame of the double space.
Actually, the explicit T-duality invariant formulation provided by DFT proves
to be a helpful ingredient. The link with string theory results is discussed
and generalizations to generic tori compactifications are addressed.
| [
{
"created": "Fri, 14 Apr 2017 14:13:34 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Apr 2017 12:40:49 GMT",
"version": "v2"
}
] | 2017-08-02 | [
[
"Aldazabal",
"G.",
""
],
[
"Andres",
"E.",
""
],
[
"Mayo",
"Martin",
""
],
[
"Rosabal",
"J. A.",
""
]
] | Gauge symmetry enhancing, at specific points of the compactification space, is a distinguished feature of string theory. In this work we discuss the breaking of such symmetries with tools provided by Double Field Theory (DFT). As a main guiding example we discuss the bosonic string compactified on a circle where, at the self dual radio the generic $U(1)\times U(1)$ gauge symmetry becomes enhanced to $SU(2)\times SU(2)$. We show that the enhancing-breaking of the gauge symmetry can be understood through a dependence of gauge structure constants (fluxes in DFT) on moduli. This dependence, in DFT description, is encoded in the generalized tangent frame of the double space. Actually, the explicit T-duality invariant formulation provided by DFT proves to be a helpful ingredient. The link with string theory results is discussed and generalizations to generic tori compactifications are addressed. |
2307.00047 | Thorsten Schimannek | Sheldon Katz, Thorsten Schimannek | New non-commutative resolutions of determinantal Calabi-Yau threefolds
from hybrid GLSM | 74 pages + references | null | null | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study topological strings on non-commutative resolutions of singular
Calabi-Yau threefolds that are double covers of $\mathbb{P}^3$, ramified over
determinantal octic surfaces. Using conifold transitions to complete
intersections in toric ambient spaces, we prove that any small resolution has
2-torsional exceptional curves and is necessarily non-K\"ahler. The same
transitions imply that M-theory develops a $\mathbb{Z}_2$ gauge symmetry on the
singular space. We then construct gauged linear sigma models with hybrid phases
that flow to the worldsheet theories of strings propagating on the
determinantal double solids in the presence of a flat but topologically
non-trivial B-field. Localizing the sphere partition function allows us to
calculate the fundamental periods of the mirror Calabi-Yau manifolds, then we
check agreement with the periods of the Borisov-Li mirrors. We find that the
corresponding variations of Hodge structure either correspond to one of the 14
hypergeometric cases or to a double cover thereof. We then use mirror symmetry
and integrate the holomorphic anomaly equations to calculate
$\mathbb{Z}_2$-refined Gopakumar-Vafa invariants for several examples.
| [
{
"created": "Fri, 30 Jun 2023 18:00:01 GMT",
"version": "v1"
}
] | 2023-07-04 | [
[
"Katz",
"Sheldon",
""
],
[
"Schimannek",
"Thorsten",
""
]
] | We study topological strings on non-commutative resolutions of singular Calabi-Yau threefolds that are double covers of $\mathbb{P}^3$, ramified over determinantal octic surfaces. Using conifold transitions to complete intersections in toric ambient spaces, we prove that any small resolution has 2-torsional exceptional curves and is necessarily non-K\"ahler. The same transitions imply that M-theory develops a $\mathbb{Z}_2$ gauge symmetry on the singular space. We then construct gauged linear sigma models with hybrid phases that flow to the worldsheet theories of strings propagating on the determinantal double solids in the presence of a flat but topologically non-trivial B-field. Localizing the sphere partition function allows us to calculate the fundamental periods of the mirror Calabi-Yau manifolds, then we check agreement with the periods of the Borisov-Li mirrors. We find that the corresponding variations of Hodge structure either correspond to one of the 14 hypergeometric cases or to a double cover thereof. We then use mirror symmetry and integrate the holomorphic anomaly equations to calculate $\mathbb{Z}_2$-refined Gopakumar-Vafa invariants for several examples. |
hep-th/9511143 | Henric Rhedin | Henric Rhedin | Gauged supersymmetric WZNW model using the BRST approach | Plain Latex, minor changes | Phys.Lett. B373 (1996) 76-80 | 10.1016/0370-2693(96)00142-6 | G\"oteborg ITP 95-23 | hep-th | null | We consider the supersymmetric WZNW model gauged in a manifestly
supersymmetric way. We find the BRST charge and the necessary condition for
nilpotency. In the BRST framework the model proves to be a Lagrangian
formulation of the supersymmetric coset construction, known as the N=1
Kazama-Suzuki coset construction.
| [
{
"created": "Tue, 21 Nov 1995 10:17:29 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Nov 1995 08:43:53 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Rhedin",
"Henric",
""
]
] | We consider the supersymmetric WZNW model gauged in a manifestly supersymmetric way. We find the BRST charge and the necessary condition for nilpotency. In the BRST framework the model proves to be a Lagrangian formulation of the supersymmetric coset construction, known as the N=1 Kazama-Suzuki coset construction. |
1104.2908 | Jan Gutowski | U. Gran, J. Gutowski and G. Papadopoulos | IIB black hole horizons with five-form flux and extended supersymmetry | 16 pages, latex. Minor typos corrected | JHEP 1109:047,2011 | 10.1007/JHEP09(2011)047 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify under some assumptions the IIB black hole horizons with 5-form
flux preserving more than 2 supersymmetries. We find that the spatial horizon
sections with non-vanishing flux preserving 4 supersymmetries are locally
isometric either to S^1 * S^3 * T^4 or to S^1 * S^3 * K_3 and the associated
near horizon geometries are locally isometric to AdS_3 * S^3 * T^4 and AdS_3 *
S^3 * K_3$, respectively. The near horizon geometries preserving more than 4
supersymmetries are locally isometric to R^{1,1} * T^8.
| [
{
"created": "Thu, 14 Apr 2011 20:05:08 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2011 07:52:49 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Gran",
"U.",
""
],
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] | We classify under some assumptions the IIB black hole horizons with 5-form flux preserving more than 2 supersymmetries. We find that the spatial horizon sections with non-vanishing flux preserving 4 supersymmetries are locally isometric either to S^1 * S^3 * T^4 or to S^1 * S^3 * K_3 and the associated near horizon geometries are locally isometric to AdS_3 * S^3 * T^4 and AdS_3 * S^3 * K_3$, respectively. The near horizon geometries preserving more than 4 supersymmetries are locally isometric to R^{1,1} * T^8. |
hep-th/0010196 | T. Jayaraman | Suresh Govindarajan (IITM), T. Jayaraman (IMSc) | D-branes, Exceptional Sheaves and Quivers on Calabi-Yau manifolds: From
Mukai to McKay | 34+1 pages;LaTex;4 figures v2;comment on flops added;one figure and
references added | Nucl.Phys. B600 (2001) 457-486 | 10.1016/S0550-3213(01)00062-1 | IMSc/2000/10/57 | hep-th math.AG | null | We present a method based on mutations of helices which leads to the
construction (in the large volume limit) of exceptional coherent sheaves
associated with the $(\sum_al_a=0)$ orbits in Gepner models. This is explicitly
verified for a few examples including some cases where the ambient weighted
projective space has singularities not inherited by the Calabi-Yau
hypersurface. The method is based on two conjectures which lead to the
analog,in the general case, of the Beilinson quiver for $\BP^n$. We discuss how
one recovers the McKay quiver using the gauged linear sigma model (GLSM) near
the orbifold or Gepner point in K\"ahler moduli space.
| [
{
"created": "Mon, 23 Oct 2000 09:17:31 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Nov 2000 12:43:38 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Govindarajan",
"Suresh",
"",
"IITM"
],
[
"Jayaraman",
"T.",
"",
"IMSc"
]
] | We present a method based on mutations of helices which leads to the construction (in the large volume limit) of exceptional coherent sheaves associated with the $(\sum_al_a=0)$ orbits in Gepner models. This is explicitly verified for a few examples including some cases where the ambient weighted projective space has singularities not inherited by the Calabi-Yau hypersurface. The method is based on two conjectures which lead to the analog,in the general case, of the Beilinson quiver for $\BP^n$. We discuss how one recovers the McKay quiver using the gauged linear sigma model (GLSM) near the orbifold or Gepner point in K\"ahler moduli space. |
1505.03130 | Victor Mikhaylov | Victor Mikhaylov | Analytic Torsion, 3d Mirror Symmetry And Supergroup Chern-Simons
Theories | 55 pages, 20 figures | null | null | null | hep-th math.GT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider topological field theories that compute the
Reidemeister-Milnor-Turaev torsion in three dimensions. These are the psl(1|1)
and the U(1|1) Chern-Simons theories, coupled to a background complex flat
gauge field. We use the 3d mirror symmetry to derive the Meng-Taubes theorem,
which relates the torsion and the Seiberg-Witten invariants, for a
three-manifold with arbitrary first Betti number. We also present the
Hamiltonian quantization of our theories, find the modular transformations of
states, and various properties of loop operators. Our results for the U(1|1)
theory are in general consistent with the results, found for the GL(1|1) WZW
model. We also make some comments on more general supergroup Chern-Simons
theories.
| [
{
"created": "Tue, 12 May 2015 19:33:32 GMT",
"version": "v1"
}
] | 2015-05-13 | [
[
"Mikhaylov",
"Victor",
""
]
] | We consider topological field theories that compute the Reidemeister-Milnor-Turaev torsion in three dimensions. These are the psl(1|1) and the U(1|1) Chern-Simons theories, coupled to a background complex flat gauge field. We use the 3d mirror symmetry to derive the Meng-Taubes theorem, which relates the torsion and the Seiberg-Witten invariants, for a three-manifold with arbitrary first Betti number. We also present the Hamiltonian quantization of our theories, find the modular transformations of states, and various properties of loop operators. Our results for the U(1|1) theory are in general consistent with the results, found for the GL(1|1) WZW model. We also make some comments on more general supergroup Chern-Simons theories. |
0909.4189 | Franziska Synatschke | Franziska Synatschke, Holger Gies and Andreas Wipf | The Phase Diagram for Wess-Zumino Models | 4 pages, 4 figures, talk given at SUSY09, Boston, MA, 5-10 June 2009,
to appear in the proceedings | AIP Conf.Proc.1200:1097-1100,2010 | 10.1063/1.3327547 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dynamical supersymmetry breaking is an important issue for applications of
supersymmetry in particle physics. The functional renormalization group
equations allow for a nonperturbative approach that leaves supersymmetry
intact. Therefore they offer a promising tool to investigate dynamical
supersymmetry breaking. Here we will employ this method to derive the phase
diagram and a surprisingly rich RG fixed-point structure with corresponding
critical exponents for the $\mathcal N=1$ Wess-Zumino model in two dimensions.
| [
{
"created": "Wed, 23 Sep 2009 12:15:26 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 2009 13:40:09 GMT",
"version": "v2"
}
] | 2015-05-14 | [
[
"Synatschke",
"Franziska",
""
],
[
"Gies",
"Holger",
""
],
[
"Wipf",
"Andreas",
""
]
] | Dynamical supersymmetry breaking is an important issue for applications of supersymmetry in particle physics. The functional renormalization group equations allow for a nonperturbative approach that leaves supersymmetry intact. Therefore they offer a promising tool to investigate dynamical supersymmetry breaking. Here we will employ this method to derive the phase diagram and a surprisingly rich RG fixed-point structure with corresponding critical exponents for the $\mathcal N=1$ Wess-Zumino model in two dimensions. |
1301.7073 | Johan Bl{\aa}b\"ack | Johan Bl{\aa}b\"ack, Ulf Danielsson and Giuseppe Dibitetto | Fully stable dS vacua from generalised fluxes | 6 pages + appendix, 9 embedded picture files. v2: Minor changes to
the text. Version accepted for JHEP publication | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the possible existence of (meta-)stable de Sitter vacua within
N=1 compactifications with generalised fluxes. With the aid of an algorithm
inspired by the method of differential evolution, we were able to find three
novel examples of completely tachyon-free de Sitter extrema in a non-isotropic
type IIB model with non-geometric fluxes. We also analyse the surroundings of
the aforementioned points in parameter space and chart the corresponding
stability regions. These happen to occur at small values of the cosmological
constant compared to the AdS scale.
| [
{
"created": "Tue, 29 Jan 2013 21:03:14 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Jul 2013 10:36:37 GMT",
"version": "v2"
}
] | 2013-07-17 | [
[
"Blåbäck",
"Johan",
""
],
[
"Danielsson",
"Ulf",
""
],
[
"Dibitetto",
"Giuseppe",
""
]
] | We investigate the possible existence of (meta-)stable de Sitter vacua within N=1 compactifications with generalised fluxes. With the aid of an algorithm inspired by the method of differential evolution, we were able to find three novel examples of completely tachyon-free de Sitter extrema in a non-isotropic type IIB model with non-geometric fluxes. We also analyse the surroundings of the aforementioned points in parameter space and chart the corresponding stability regions. These happen to occur at small values of the cosmological constant compared to the AdS scale. |
2101.07401 | Yuki Sato | Jan Ambjorn, Yuki Hiraga, Yoshiyasu Ito and Yuki Sato | Wormholes in 2d Horava-Lifshitz quantum gravity | 10 pages | null | 10.1016/j.physletb.2021.136205 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We quantize the two-dimensional projectable Horava-Lifshitz gravity with a
bi-local as well as space-like wormhole interaction. The resulting quantum
Hamiltonian coincides with the one obtained through summing over all genus in
the string field theory for two-dimensional causal dynamical triangulations.
This implies that our wormhole interaction can be interpreted as a splitting or
joining interaction of one-dimensional strings.
| [
{
"created": "Tue, 19 Jan 2021 01:39:43 GMT",
"version": "v1"
}
] | 2021-03-17 | [
[
"Ambjorn",
"Jan",
""
],
[
"Hiraga",
"Yuki",
""
],
[
"Ito",
"Yoshiyasu",
""
],
[
"Sato",
"Yuki",
""
]
] | We quantize the two-dimensional projectable Horava-Lifshitz gravity with a bi-local as well as space-like wormhole interaction. The resulting quantum Hamiltonian coincides with the one obtained through summing over all genus in the string field theory for two-dimensional causal dynamical triangulations. This implies that our wormhole interaction can be interpreted as a splitting or joining interaction of one-dimensional strings. |
hep-th/0406059 | Rosy Chooi Gim Teh | Rosy Teh and Khai-Ming Wong | Half-Monopole and Multimonopole | 12 pages and 4 figures; typos corrected, reference added | Int.J.Mod.Phys.A20:2195-2204,2005 | 10.1142/S0217751X05020811 | null | hep-th | null | We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions
of half-integer topological charge. These solutions can be just an isolated
half-monopole or a multimonopole with topological magnetic charge, ${1/2}m$,
where $m$ is a natural number. These static monopole solutions satisfy the
first order Bogomol'nyi equations. The axially symmetric one-half monopole
gauge potentials possess a Dirac-like string singularity along the negative
z-axis. The multimonopole gauge potentials are also singular along the z-axis
and possess only mirror symmetries.
| [
{
"created": "Mon, 7 Jun 2004 04:19:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Aug 2004 09:51:35 GMT",
"version": "v2"
},
{
"created": "Mon, 9 May 2005 08:46:21 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Teh",
"Rosy",
""
],
[
"Wong",
"Khai-Ming",
""
]
] | We would like to present some exact SU(2) Yang-Mills-Higgs monopole solutions of half-integer topological charge. These solutions can be just an isolated half-monopole or a multimonopole with topological magnetic charge, ${1/2}m$, where $m$ is a natural number. These static monopole solutions satisfy the first order Bogomol'nyi equations. The axially symmetric one-half monopole gauge potentials possess a Dirac-like string singularity along the negative z-axis. The multimonopole gauge potentials are also singular along the z-axis and possess only mirror symmetries. |
hep-th/0510200 | Stefano Ansoldi | Stefano Ansoldi, Eduardo I. Guendelman and Euro Spallucci | The role of a dynamical measure and dynamical tension in brane creation
and growth | LaTeX, 16 pages, 1 figure; Changed the (wrong) orientation of figure
1(a) | Mod.Phys.Lett. A21 (2006) 2055-2065 | 10.1142/S0217732306021463 | MIT-CTP-3697 | hep-th | null | The use of a non-Riemannian measure of integration in the action of strings
and branes allows the possibility of dynamical tension. In particular, lower
dimensional objects living in the string/brane can induce discontinuities in
the tension: the effect of pair creation on the string tension is studied. We
investigate then the role that these new features can play in string and brane
creation and growth. A mechanism is studied by means of which a scalar field
can transfer its energy to the tension of strings and branes. An infinite
dimensional symmetry group of this theory is discussed. Creation and growth of
bubbles in a formulation that requires mass generation for the bulk gauge
fields coupled to the branes is also discussed.
| [
{
"created": "Mon, 24 Oct 2005 16:36:32 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 2005 16:23:59 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Ansoldi",
"Stefano",
""
],
[
"Guendelman",
"Eduardo I.",
""
],
[
"Spallucci",
"Euro",
""
]
] | The use of a non-Riemannian measure of integration in the action of strings and branes allows the possibility of dynamical tension. In particular, lower dimensional objects living in the string/brane can induce discontinuities in the tension: the effect of pair creation on the string tension is studied. We investigate then the role that these new features can play in string and brane creation and growth. A mechanism is studied by means of which a scalar field can transfer its energy to the tension of strings and branes. An infinite dimensional symmetry group of this theory is discussed. Creation and growth of bubbles in a formulation that requires mass generation for the bulk gauge fields coupled to the branes is also discussed. |
hep-th/0405173 | Ignacio Navarro | Ignacio Navarro and Jose Santiago | Flux Compactifications: Stability and Implications for Cosmology | 16 pages, 1 figure, LaTeX; v2: typos fixed and references added | JCAP 0409:005,2004 | 10.1088/1475-7516/2004/09/005 | IPPP/04/18 DCPT/04/36 | hep-th astro-ph gr-qc | null | We study the dynamics of the size of an extra-dimensional manifold stabilised
by fluxes. Inspecting the potential for the 4D field associated with this size
(the radion), we obtain the conditions under which it can be stabilised and
show that stable compactifications on hyperbolic manifolds necessarily have a
negative four-dimensional cosmological constant, in contradiction with
experimental observations. Assuming compactification on a positively curved
(spherical) manifold we find that the radion has a mass of the order of the
compactification scale, M_c, and Planck suppressed couplings. We also show that
the model becomes unstable and the extra dimensions decompactify when the
four-dimensional curvature is higher than a maximum value. This in particular
sets an upper bound on the scale of inflation in these models: V_max \sim M_c^2
M_P^2, independently of whether the radion or other field is responsible for
inflation. We comment on other possible contributions to the radion potential
as well as finite temperature effects and their impact on the bounds obtained.
| [
{
"created": "Thu, 20 May 2004 16:23:03 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2004 09:51:56 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Navarro",
"Ignacio",
""
],
[
"Santiago",
"Jose",
""
]
] | We study the dynamics of the size of an extra-dimensional manifold stabilised by fluxes. Inspecting the potential for the 4D field associated with this size (the radion), we obtain the conditions under which it can be stabilised and show that stable compactifications on hyperbolic manifolds necessarily have a negative four-dimensional cosmological constant, in contradiction with experimental observations. Assuming compactification on a positively curved (spherical) manifold we find that the radion has a mass of the order of the compactification scale, M_c, and Planck suppressed couplings. We also show that the model becomes unstable and the extra dimensions decompactify when the four-dimensional curvature is higher than a maximum value. This in particular sets an upper bound on the scale of inflation in these models: V_max \sim M_c^2 M_P^2, independently of whether the radion or other field is responsible for inflation. We comment on other possible contributions to the radion potential as well as finite temperature effects and their impact on the bounds obtained. |
1311.4736 | Bayram Tekin | Suat Dengiz, Ercan Kilicarslan, Bayram Tekin | Scattering in Topologically Massive Gravity, Chiral Gravity and the
corresponding Anyon-Anyon Potential Energy | 12 pages, references added | Phys. Rev. D 89, 024033 (2014) | 10.1103/PhysRevD.89.024033 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the tree-level scattering amplitude between two covariantly
conserved sources in generic Cosmological Topologically Massive Gravity
augmented with a Fierz-Pauli term that has three massive degrees of freedom. We
consider the Chiral Gravity limit in the anti-de Sitter space as well as the
limit of Flat-Space Chiral Gravity. We show that Chiral Gravity cannot be
unitarily deformed with a Fierz-Pauli mass. We calculate the non-relativistic
potential energy between two point-like spinning sources. In addition to the
expected mass-mass and spin-spin interactions, there are mass-spin interactions
due to the presence of the gravitational Chern-Simons term which induces spin
for any massive object and turns it to an anyon. We also show that the
tree-level scattering is trivial for the Flat-Space Chiral Gravity.
| [
{
"created": "Tue, 19 Nov 2013 13:41:29 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2013 11:48:25 GMT",
"version": "v2"
}
] | 2014-01-31 | [
[
"Dengiz",
"Suat",
""
],
[
"Kilicarslan",
"Ercan",
""
],
[
"Tekin",
"Bayram",
""
]
] | We compute the tree-level scattering amplitude between two covariantly conserved sources in generic Cosmological Topologically Massive Gravity augmented with a Fierz-Pauli term that has three massive degrees of freedom. We consider the Chiral Gravity limit in the anti-de Sitter space as well as the limit of Flat-Space Chiral Gravity. We show that Chiral Gravity cannot be unitarily deformed with a Fierz-Pauli mass. We calculate the non-relativistic potential energy between two point-like spinning sources. In addition to the expected mass-mass and spin-spin interactions, there are mass-spin interactions due to the presence of the gravitational Chern-Simons term which induces spin for any massive object and turns it to an anyon. We also show that the tree-level scattering is trivial for the Flat-Space Chiral Gravity. |
1711.04385 | Swapnamay Mondal Dr. | Nick Halmagyi and Swapnamay Mondal | Tensor Models for Black Hole Probes | 32 pages, 12 figures | JHEP07(2018)095 | 10.1007/JHEP07(2018)095 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The infrared dynamics of the SYK model, as well as its associated tensor
models, exhibit some of the non trivial features expected of a holographic dual
of near extremal black holes. These include developing certain symmetries of
the near horizon geometry and exhibiting maximal chaos. In this paper we
present a generalization of these tensor models to include fields with fewer
tensor indices and which can be thought of as describing probes in a black hole
background. In large $N$ limit, dynamics of the original model remain
unaffected by the probe fields and the four point functions of the probe fields
exhibit maximal chaos, a non trivial feature expected of a black hole probe.
Interestingly probe primaries have the same dimensions as primaries of the
original fields.
| [
{
"created": "Mon, 13 Nov 2017 01:09:52 GMT",
"version": "v1"
}
] | 2018-07-17 | [
[
"Halmagyi",
"Nick",
""
],
[
"Mondal",
"Swapnamay",
""
]
] | The infrared dynamics of the SYK model, as well as its associated tensor models, exhibit some of the non trivial features expected of a holographic dual of near extremal black holes. These include developing certain symmetries of the near horizon geometry and exhibiting maximal chaos. In this paper we present a generalization of these tensor models to include fields with fewer tensor indices and which can be thought of as describing probes in a black hole background. In large $N$ limit, dynamics of the original model remain unaffected by the probe fields and the four point functions of the probe fields exhibit maximal chaos, a non trivial feature expected of a black hole probe. Interestingly probe primaries have the same dimensions as primaries of the original fields. |
1012.2502 | Kiyoshi Kamimura | Roberto Casalbuoni, Joaquim Gomis and Kiyoshi Kamimura | SuperParticle realization of twisted N=2 SUSY algebra | 12 pages, no figure | JHEP 1101:098,2011 | 10.1007/JHEP01(2011)098 | ICCUB-10-174,UB-ECM-PF 10/42 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a pseudoclassical particle model associated to the twisted N=2
SUSY algebra in four dimensions. The particle model has four kappa symmetries.
Three of them can be used to reduce the model to the vector supersymmetry
particle case. The quantization of the model gives rise to two copies of the 4d
Dirac equation. The kappa symmetries result to be associated to 4 TSUSY
invariant bilinear odd operators who are null operators when a particular
condition is satisfied. These operators are in correspondence one to one with
analogous operators existing in the case of the N=2 SUSY algebra, making both
cases 1/2 BPS.
| [
{
"created": "Sun, 12 Dec 2010 00:37:21 GMT",
"version": "v1"
}
] | 2011-02-03 | [
[
"Casalbuoni",
"Roberto",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
]
] | We construct a pseudoclassical particle model associated to the twisted N=2 SUSY algebra in four dimensions. The particle model has four kappa symmetries. Three of them can be used to reduce the model to the vector supersymmetry particle case. The quantization of the model gives rise to two copies of the 4d Dirac equation. The kappa symmetries result to be associated to 4 TSUSY invariant bilinear odd operators who are null operators when a particular condition is satisfied. These operators are in correspondence one to one with analogous operators existing in the case of the N=2 SUSY algebra, making both cases 1/2 BPS. |
1911.09913 | Jian-Pin Wu | Da-Zhu Ma, Dan Zhang, Guoyang Fu and Jian-Pin Wu | Chaotic dynamics of string around charged black brane with hyperscaling
violation | 24 pages, 11 figures, references added | JHEP 2001 (2020) 103 | 10.1007/JHEP01(2020)103 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed
string around charged black brane with hyperscaling violation (HV). The Hawking
temperature, Lifshitz dynamical exponent and HV exponent together affect the
chaotic dynamics of this system. The temperature plays the role of driving the
closed string to escape to infinity. There is a threshold value $z_{\ast}=2$,
below which the string is captured by the black brane no matter where the
string is placed at the beginning. However, when $z>2$, the string escapes to
infinity if it is placed near the black brane at the beginning, but if the
initial position of string is far away from the black brane, it oscillates
around the black brane till eternity, which is a quasi-periodic motion. HV
exponent plays the role of driving the string falling into the black brane.
With the increase of HV exponent $\theta$, the falling velocity becomes faster.
We find that when we heat the system with large HV exponent, the chaotic system
does not essentially changes. It indicates that the HV exponent plays a very
important role in determining the state of the chaotic system. Also we study
the the effect from the winding number of the string. The study indicates that
the chaotic dynamics of the string is insensitive to the winding number.
| [
{
"created": "Fri, 22 Nov 2019 08:16:21 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Nov 2019 07:59:10 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Feb 2020 12:28:08 GMT",
"version": "v3"
}
] | 2020-02-28 | [
[
"Ma",
"Da-Zhu",
""
],
[
"Zhang",
"Dan",
""
],
[
"Fu",
"Guoyang",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed string around charged black brane with hyperscaling violation (HV). The Hawking temperature, Lifshitz dynamical exponent and HV exponent together affect the chaotic dynamics of this system. The temperature plays the role of driving the closed string to escape to infinity. There is a threshold value $z_{\ast}=2$, below which the string is captured by the black brane no matter where the string is placed at the beginning. However, when $z>2$, the string escapes to infinity if it is placed near the black brane at the beginning, but if the initial position of string is far away from the black brane, it oscillates around the black brane till eternity, which is a quasi-periodic motion. HV exponent plays the role of driving the string falling into the black brane. With the increase of HV exponent $\theta$, the falling velocity becomes faster. We find that when we heat the system with large HV exponent, the chaotic system does not essentially changes. It indicates that the HV exponent plays a very important role in determining the state of the chaotic system. Also we study the the effect from the winding number of the string. The study indicates that the chaotic dynamics of the string is insensitive to the winding number. |
1502.01855 | Mikhail Iofa | Mikhail Z. Iofa | Energy-momentum tensor of bouncing gravitons | 20 pages, 3 figures. Reference added, minor modifications | JCAP 07 (2015) 021 | 10.1088/1475-7516/2015/07/021 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In models of the Universe with extra dimensions gravity propagates in the
whole space-time. Graviton production by matter on the brane is significant in
the early hot Universe. In a model of 3-brane with matter embedded in 5D
space-time conditions for gravitons emitted from the brane to the bulk to
return back to the brane are found. For a given 5-momentum of graviton falling
back to the brane the interval between the times of emission and return to the
brane is calculated. A method to calculate contribution to the energy-momentum
tensor from multiple graviton bouncings is developed. Explicit expressions for
contributions to the energy-momentum tensor of gravitons which have made one,
two and three bounces are obtained and their magnitudes are numerically
calculated. These expressions are used to solve the evolution equation for dark
radiation. A relation connecting reheating temperature and the scale of extra
dimension is obtained. For the reheating temperature $T_R\sim 10^6 GeV$ we
estimate the scale of extra dimension $\m$ to be of order $10^{-9} GeV\,\,\,
(\m^{-1}\sim 10^{-5} cm )$.
| [
{
"created": "Fri, 6 Feb 2015 10:58:48 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Apr 2015 10:07:45 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Sep 2015 12:58:53 GMT",
"version": "v3"
}
] | 2015-09-08 | [
[
"Iofa",
"Mikhail Z.",
""
]
] | In models of the Universe with extra dimensions gravity propagates in the whole space-time. Graviton production by matter on the brane is significant in the early hot Universe. In a model of 3-brane with matter embedded in 5D space-time conditions for gravitons emitted from the brane to the bulk to return back to the brane are found. For a given 5-momentum of graviton falling back to the brane the interval between the times of emission and return to the brane is calculated. A method to calculate contribution to the energy-momentum tensor from multiple graviton bouncings is developed. Explicit expressions for contributions to the energy-momentum tensor of gravitons which have made one, two and three bounces are obtained and their magnitudes are numerically calculated. These expressions are used to solve the evolution equation for dark radiation. A relation connecting reheating temperature and the scale of extra dimension is obtained. For the reheating temperature $T_R\sim 10^6 GeV$ we estimate the scale of extra dimension $\m$ to be of order $10^{-9} GeV\,\,\, (\m^{-1}\sim 10^{-5} cm )$. |
1409.7069 | Philippe Sabella-Garnier | Philippe Sabella-Garnier | Mutual information on the fuzzy sphere | 16 pages, 10 figures. Fixed minor typos, references updated,
discussion slightly expanded | null | 10.1007/JHEP02(2015)063 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically calculate entanglement entropy and mutual information for a
massive free scalar field on commutative (ordinary) and noncommutative (fuzzy)
spheres. We regularize the theory on the commutative geometry by discretizing
the polar coordinate, whereas the theory on the noncommutative geometry
naturally posseses a finite and adjustable number of degrees of freedom. Our
results show that the UV-divergent part of the entanglement entropy on a fuzzy
sphere does not follow an area law, while the entanglement entropy on a
commutative sphere does. Nonetheless, we find that mutual information (which is
UV-finite) is the same in both theories. This suggests that nonlocality at
short distances does not affect quantum correlations over large distances in a
free field theory.
| [
{
"created": "Wed, 24 Sep 2014 20:00:11 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 21:19:24 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Sabella-Garnier",
"Philippe",
""
]
] | We numerically calculate entanglement entropy and mutual information for a massive free scalar field on commutative (ordinary) and noncommutative (fuzzy) spheres. We regularize the theory on the commutative geometry by discretizing the polar coordinate, whereas the theory on the noncommutative geometry naturally posseses a finite and adjustable number of degrees of freedom. Our results show that the UV-divergent part of the entanglement entropy on a fuzzy sphere does not follow an area law, while the entanglement entropy on a commutative sphere does. Nonetheless, we find that mutual information (which is UV-finite) is the same in both theories. This suggests that nonlocality at short distances does not affect quantum correlations over large distances in a free field theory. |
hep-th/9809205 | Pawel Mazur | Pawel O. Mazur and Andrzej Staruszkiewicz | On the $\Theta$-term in electrodynamics | 6 pages | null | null | null | hep-th gr-qc | null | The term $\Theta\epsilon^{\mu\nu\rho\sigma}F_{\mu\nu}F_{\rho\sigma}$, when
added to the electromagnetic Lagrangian $-{1\over 16\pi}F^{\mu\nu}F_{\mu\nu}$,
does not change the signature of the Lagrangian. Actually, it increases the
part with negative kinetic energy term at the spatial infinity. For this reason
it does not change the conclusion, that at the spatial infinity the magnetic
part of the electromagnetic field should be absent.
| [
{
"created": "Wed, 30 Sep 1998 03:57:47 GMT",
"version": "v1"
}
] | 2009-10-19 | [
[
"Mazur",
"Pawel O.",
""
],
[
"Staruszkiewicz",
"Andrzej",
""
]
] | The term $\Theta\epsilon^{\mu\nu\rho\sigma}F_{\mu\nu}F_{\rho\sigma}$, when added to the electromagnetic Lagrangian $-{1\over 16\pi}F^{\mu\nu}F_{\mu\nu}$, does not change the signature of the Lagrangian. Actually, it increases the part with negative kinetic energy term at the spatial infinity. For this reason it does not change the conclusion, that at the spatial infinity the magnetic part of the electromagnetic field should be absent. |
hep-th/0202058 | Roberto Iengo | Roberto Iengo | Computing the R^4 term at two Superstring Loops | 6 pages, Latex | JHEP 0202 (2002) 035 | 10.1088/1126-6708/2002/02/035 | SISSA 12/2002/EP | hep-th | null | We use a previously derived integral representation for the four graviton
amplitude at two loops in Superstring theory, whose leading term for vanishing
momenta gives the two-loop contribution to the R^4 term in the Effective
Action. We find by an explicit computation that this contribution is zero, in
agreement with a general argument implying the vanishing of the R^4 term beyond
one loop.
| [
{
"created": "Sat, 9 Feb 2002 09:42:19 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Iengo",
"Roberto",
""
]
] | We use a previously derived integral representation for the four graviton amplitude at two loops in Superstring theory, whose leading term for vanishing momenta gives the two-loop contribution to the R^4 term in the Effective Action. We find by an explicit computation that this contribution is zero, in agreement with a general argument implying the vanishing of the R^4 term beyond one loop. |
1604.06439 | Maximilian Attems | Maximilian Attems, Jorge Casalderrey-Solana, David Mateos, Daniel
Santos-Oliv\'an, Carlos F. Sopuerta, Miquel Triana and Miguel Zilh\~ao | Holographic Collisions in Non-conformal Theories | 10 pages, 3 figures; published version | JHEP 1701 (2017) 026 | 10.1007/JHEP01(2017)026 | ICCUB-16-013 | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically simulate gravitational shock wave collisions in a holographic
model dual to a non-conformal four-dimensional gauge theory. We find two novel
effects associated to the non-zero bulk viscosity of the resulting plasma.
First, the hydrodynamization time increases. Second, if the bulk viscosity is
large enough then the plasma becomes well described by hydrodynamics before the
energy density and the average pressure begin to obey the equilibrium equation
of state. We discuss implications for the quark-gluon plasma created in heavy
ion collision experiments.
| [
{
"created": "Thu, 21 Apr 2016 19:45:33 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2017 17:58:46 GMT",
"version": "v2"
}
] | 2017-07-05 | [
[
"Attems",
"Maximilian",
""
],
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Mateos",
"David",
""
],
[
"Santos-Oliván",
"Daniel",
""
],
[
"Sopuerta",
"Carlos F.",
""
],
[
"Triana",
"Miquel",
""
],
[
"Zilhão",
"Migue... | We numerically simulate gravitational shock wave collisions in a holographic model dual to a non-conformal four-dimensional gauge theory. We find two novel effects associated to the non-zero bulk viscosity of the resulting plasma. First, the hydrodynamization time increases. Second, if the bulk viscosity is large enough then the plasma becomes well described by hydrodynamics before the energy density and the average pressure begin to obey the equilibrium equation of state. We discuss implications for the quark-gluon plasma created in heavy ion collision experiments. |
1807.11327 | Nikola I. Gushterov | Nikola I. Gushterov, Andy O'Bannon and Ronnie Rodgers | Holographic Zero Sound from Spacetime-Filling Branes | v2: minor corrections and edits, no changes to results, version
published in JHEP | null | 10.1007/JHEP10(2018)076 | OUTP-18-04P | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use holography to study sound modes of strongly-interacting conformal
field theories with non-zero temperature, $T$, and $U(1)$ chemical potential,
$\mu$. Specifically, we consider charged black brane solutions of Einstein
gravity in $(3+1)$-dimensional Anti-de Sitter space coupled to a $U(1)$ gauge
field with Dirac-Born-Infeld action, representing a spacetime-filling brane.
The brane action has two free parameters: the tension and the non-linearity
parameter, which controls higher-order terms in the field strength. For all
values of the tension, non-linearity parameter, and $T/\mu$, and at
sufficiently small momentum, we find sound modes with speed given by the
conformal value and attenuation constant of hydrodynamic form. In particular we
find sound at arbitrarily low $T/\mu$, outside the usual hydrodynamic regime,
but in the regime where a Fermi liquid exhibits Landau's "zero" sound. In fact,
the sound attenuation constant as a function of $T/\mu$ qualitatively resembles
that of a Fermi liquid, including a maximum, which in a Fermi liquid signals
the collisionless to hydrodynamic crossover. We also explore regimes of the
tension and non-linearity parameter where two other proposed definitions of the
crossover are viable, via pole collisions in Green's functions or peak movement
in the charge density spectral function.
| [
{
"created": "Mon, 30 Jul 2018 13:02:58 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Oct 2018 10:36:14 GMT",
"version": "v2"
}
] | 2018-11-14 | [
[
"Gushterov",
"Nikola I.",
""
],
[
"O'Bannon",
"Andy",
""
],
[
"Rodgers",
"Ronnie",
""
]
] | We use holography to study sound modes of strongly-interacting conformal field theories with non-zero temperature, $T$, and $U(1)$ chemical potential, $\mu$. Specifically, we consider charged black brane solutions of Einstein gravity in $(3+1)$-dimensional Anti-de Sitter space coupled to a $U(1)$ gauge field with Dirac-Born-Infeld action, representing a spacetime-filling brane. The brane action has two free parameters: the tension and the non-linearity parameter, which controls higher-order terms in the field strength. For all values of the tension, non-linearity parameter, and $T/\mu$, and at sufficiently small momentum, we find sound modes with speed given by the conformal value and attenuation constant of hydrodynamic form. In particular we find sound at arbitrarily low $T/\mu$, outside the usual hydrodynamic regime, but in the regime where a Fermi liquid exhibits Landau's "zero" sound. In fact, the sound attenuation constant as a function of $T/\mu$ qualitatively resembles that of a Fermi liquid, including a maximum, which in a Fermi liquid signals the collisionless to hydrodynamic crossover. We also explore regimes of the tension and non-linearity parameter where two other proposed definitions of the crossover are viable, via pole collisions in Green's functions or peak movement in the charge density spectral function. |
1501.01621 | Jos\'e Luis L\'opez | J. L. L\'opez and O. Obreg\'on | A general procedure to find ground state solutions for finite $N$
M(atrix) theory. Reduced models and SUSY quantum cosmology | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a general method to find exact ground state solutions to the
SU($N$) invariant matrix model arising from the quantization of the
11-dimensional supermembrane action in the light-cone gauge. We illustrate the
method by applying it to lower dimensional models and for the SU(2) group. This
approach can be used to find ground state solutions to the complete
9-dimensional model and for any SU($N$) group. The supercharges and the
constraints related to the SU(2) symmetry are the relevant operators and they
generate a multicomponent wave function. In the procedure, the fermionic
degrees of freedom are represented by means of Dirac-like gamma matrices. We
exhibit a relation between these finite $N$ matrix theory ground state
solutions and SUSY quantum cosmology wave functions giving a possible physical
significance to the theory even for finite $N$
| [
{
"created": "Wed, 7 Jan 2015 20:50:53 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Mar 2015 04:35:58 GMT",
"version": "v2"
}
] | 2016-02-22 | [
[
"López",
"J. L.",
""
],
[
"Obregón",
"O.",
""
]
] | We propose a general method to find exact ground state solutions to the SU($N$) invariant matrix model arising from the quantization of the 11-dimensional supermembrane action in the light-cone gauge. We illustrate the method by applying it to lower dimensional models and for the SU(2) group. This approach can be used to find ground state solutions to the complete 9-dimensional model and for any SU($N$) group. The supercharges and the constraints related to the SU(2) symmetry are the relevant operators and they generate a multicomponent wave function. In the procedure, the fermionic degrees of freedom are represented by means of Dirac-like gamma matrices. We exhibit a relation between these finite $N$ matrix theory ground state solutions and SUSY quantum cosmology wave functions giving a possible physical significance to the theory even for finite $N$ |
hep-th/0207042 | Gogberashvili Merab Jakob | Merab Gogberashvili | Preferred Frame in Brane World | 5 pages, LaTeX, no figures, minor corrections, two references were
added | null | null | null | hep-th astro-ph gr-qc hep-ph quant-ph | null | In the framework of brane models the postulates of special relativity theory
is revised. It is assumed that there exists preferred frame and relativity
principle is violated on the brane. Because of trapping any moving object on
the brane is really accelerated and the formulas for gravitational contraction
of the intervals (containing the escape speed) appears to be equivalent to
ordinary Lorentz ones.
| [
{
"created": "Thu, 4 Jul 2002 19:25:09 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Nov 2002 13:51:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Gogberashvili",
"Merab",
""
]
] | In the framework of brane models the postulates of special relativity theory is revised. It is assumed that there exists preferred frame and relativity principle is violated on the brane. Because of trapping any moving object on the brane is really accelerated and the formulas for gravitational contraction of the intervals (containing the escape speed) appears to be equivalent to ordinary Lorentz ones. |
hep-th/0202173 | Djordje Minic | D. Minic and C. H. Tze | Nambu Quantum Mechanics: A Nonlinear Generalization of Geometric Quantum
Mechanics | 15 pages, LaTeX, typos corrected | Phys.Lett.B536:305-314,2002 | 10.1016/S0370-2693(02)01865-8 | VPI-IPPAP-02-03 | hep-th | null | We propose a generalization of the standard geometric formulation of quantum
mechanics, based on the classical Nambu dynamics of free Euler tops. This
extended quantum mechanics has in lieu of the standard exponential time
evolution, a nonlinear temporal evolution given by Jacobi elliptic functions.
In the limit where latter's moduli parameters are set to zero, the usual
geometric formulation of quantum mechanics, based on the Kahler structure of a
complex projective Hilbert space, is recovered. We point out various novel
features of this extended quantum mechanics, including its geometric aspects.
Our approach sheds a new light on the problem of quantization of Nambu
dynamics. Finally, we argue that the structure of this nonlinear quantum
mechanics is natural from the point of view of string theory.
| [
{
"created": "Mon, 25 Feb 2002 20:26:50 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Mar 2002 18:37:57 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Minic",
"D.",
""
],
[
"Tze",
"C. H.",
""
]
] | We propose a generalization of the standard geometric formulation of quantum mechanics, based on the classical Nambu dynamics of free Euler tops. This extended quantum mechanics has in lieu of the standard exponential time evolution, a nonlinear temporal evolution given by Jacobi elliptic functions. In the limit where latter's moduli parameters are set to zero, the usual geometric formulation of quantum mechanics, based on the Kahler structure of a complex projective Hilbert space, is recovered. We point out various novel features of this extended quantum mechanics, including its geometric aspects. Our approach sheds a new light on the problem of quantization of Nambu dynamics. Finally, we argue that the structure of this nonlinear quantum mechanics is natural from the point of view of string theory. |
hep-th/9710060 | Clovis Wotzasek | R. Banerjee and C. Wotzasek | Duality Symmetry and Soldering in Different Dimensions | LaTeX file, 30 pages | null | null | null | hep-th | null | We develop a systematic method of obtaining duality symmetric actions in
different dimensions. This technique is applied for the quantum mechanical
harmonic oscillator, the scalar field theory in two dimensions and the Maxwell
theory in four dimensions. In all cases there are two such distinct actions.
Furthermore, by soldering these distinct actions in any dimension a master
action is obtained which is duality invariant under a much bigger set of
symmetries than is usually envisaged. The concept of swapping duality is
introduced and its implications are discussed. The effects of coupling to
gravity are also elaborated. Finally, the extension of the analysis for
arbitrary dimensions is indicated.
| [
{
"created": "Tue, 7 Oct 1997 15:16:29 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Banerjee",
"R.",
""
],
[
"Wotzasek",
"C.",
""
]
] | We develop a systematic method of obtaining duality symmetric actions in different dimensions. This technique is applied for the quantum mechanical harmonic oscillator, the scalar field theory in two dimensions and the Maxwell theory in four dimensions. In all cases there are two such distinct actions. Furthermore, by soldering these distinct actions in any dimension a master action is obtained which is duality invariant under a much bigger set of symmetries than is usually envisaged. The concept of swapping duality is introduced and its implications are discussed. The effects of coupling to gravity are also elaborated. Finally, the extension of the analysis for arbitrary dimensions is indicated. |
1006.2301 | Jacopo Viti | Gesualdo Delfino and Jacopo Viti | Universal properties of Ising clusters and droplets near criticality | 23 pages, 5 figures | Nucl. Phys. B 840 (2010) 513 | 10.1016/j.nuclphysb.2010.07.021 | null | hep-th cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Clusters and droplets of positive spins in the two-dimensional Ising model
percolate at the Curie temperature in absence of external field. The
percolative exponents coincide with the magnetic ones for droplets but not for
clusters. We use integrable field theory to determine amplitude ratios which
characterize the approach to criticality within these two universality classes
of percolative critical behavior.
| [
{
"created": "Fri, 11 Jun 2010 13:30:23 GMT",
"version": "v1"
}
] | 2014-10-09 | [
[
"Delfino",
"Gesualdo",
""
],
[
"Viti",
"Jacopo",
""
]
] | Clusters and droplets of positive spins in the two-dimensional Ising model percolate at the Curie temperature in absence of external field. The percolative exponents coincide with the magnetic ones for droplets but not for clusters. We use integrable field theory to determine amplitude ratios which characterize the approach to criticality within these two universality classes of percolative critical behavior. |
1104.2429 | J. Luis Miramontes | Timothy J. Hollowood and J. Luis Miramontes | The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory | 39 pages, references added | JHEP 1105:136,2011 | 10.1007/JHEP05(2011)136 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The generalized symmetric space sine-Gordon theories are a series of
1+1-integrable field theories that are classically equivalent to superstrings
on symmetric space spacetimes F/G. They are formulated in terms of a
semi-symmetric space as a gauged WZW model with fermions and a potential term
to deform it away from the conformal fixed point. We consider in particular the
case of PSU(2,2|4)/Sp(2,2)xSp(4) which corresponds to AdS(5)xS(5). We argue
that the infinite tower of conserved charges of these theories includes an
exotic N=(8,8) supersymmetry that is realized in a mildy non-local way at the
Lagrangian level. The supersymmetry is associated to a double central extension
of the superalgebra psu(2|2)+psu(2|2) and includes a non-trivial R symmetry
algebra corresponding to global gauge transformations, as well as 2-dimensional
spacetime translations. We then explicitly construct soliton solutions and show
that they carry an internal moduli superspace CP(2|1)xCP(2|1) with both bosonic
and Grassmann collective coordinates. We show how to semi-classical quantize
the solitons by writing an effective quantum mechanical system on the moduli
space which takes the form of a co-adjoint orbit of SU(2|2)xSU(2|2). The
spectrum consists of a tower of massive states in the short, or atypical,
symmetric representations, just as the giant magnon states of the string world
sheet theory, although here the tower is truncated.
| [
{
"created": "Wed, 13 Apr 2011 09:34:49 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Apr 2011 10:43:08 GMT",
"version": "v2"
}
] | 2011-06-07 | [
[
"Hollowood",
"Timothy J.",
""
],
[
"Miramontes",
"J. Luis",
""
]
] | The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as a gauged WZW model with fermions and a potential term to deform it away from the conformal fixed point. We consider in particular the case of PSU(2,2|4)/Sp(2,2)xSp(4) which corresponds to AdS(5)xS(5). We argue that the infinite tower of conserved charges of these theories includes an exotic N=(8,8) supersymmetry that is realized in a mildy non-local way at the Lagrangian level. The supersymmetry is associated to a double central extension of the superalgebra psu(2|2)+psu(2|2) and includes a non-trivial R symmetry algebra corresponding to global gauge transformations, as well as 2-dimensional spacetime translations. We then explicitly construct soliton solutions and show that they carry an internal moduli superspace CP(2|1)xCP(2|1) with both bosonic and Grassmann collective coordinates. We show how to semi-classical quantize the solitons by writing an effective quantum mechanical system on the moduli space which takes the form of a co-adjoint orbit of SU(2|2)xSU(2|2). The spectrum consists of a tower of massive states in the short, or atypical, symmetric representations, just as the giant magnon states of the string world sheet theory, although here the tower is truncated. |
hep-th/9402155 | Emili Elizalde | E. Elizalde | An Extension of the Chowla-Selberg Formula Useful in Quantizing with the
Wheeler-De Witt Equation | 14 pages (small typo errors corrected and 2page improvement of
physical applications), LaTeX file, UB-ECM-PF 94/7 | J.Phys. A27 (1994) 3775-3786 | 10.1088/0305-4470/27/11/027 | null | hep-th | null | The two-dimensional inhomogeneous zeta-function series (with homogeneous part
of the most general Epstein type): \[ \sum_{m,n \in \mbox{\bf Z}}
(am^2+bmn+cn^2+q)^{-s}, \] is analytically continued in the variable $s$ by
using zeta-function techniques. A simple formula is obtained, which extends the
Chowla-Selberg formula to inhomogeneous Epstein zeta-functions. The new
expression is then applied to solve the problem of computing the determinant of
the basic differential operator that appears in an attempt at quantizing
gravity by using the Wheeler-De Witt equation in 2+1 dimensional spacetime with
the torus topology.
| [
{
"created": "Mon, 28 Feb 1994 17:33:59 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 1994 14:51:04 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Elizalde",
"E.",
""
]
] | The two-dimensional inhomogeneous zeta-function series (with homogeneous part of the most general Epstein type): \[ \sum_{m,n \in \mbox{\bf Z}} (am^2+bmn+cn^2+q)^{-s}, \] is analytically continued in the variable $s$ by using zeta-function techniques. A simple formula is obtained, which extends the Chowla-Selberg formula to inhomogeneous Epstein zeta-functions. The new expression is then applied to solve the problem of computing the determinant of the basic differential operator that appears in an attempt at quantizing gravity by using the Wheeler-De Witt equation in 2+1 dimensional spacetime with the torus topology. |
2401.00041 | Carolina Figueiredo | Nima Arkani-Hamed, Qu Cao, Jin Dong, Carolina Figueiredo, Song He | Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills
Theory | Added several comments related to general surface kinematics,
including corrected statements for surface gauge invariance, and derivations
of tree-loop cut and loop-cut for general surface kinematics. Additional
clarifications, and corrected typos | null | null | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new formulation for Yang-Mills scattering amplitudes in any
number of dimensions and at any loop order, based on the same combinatorial and
binary-geometric ideas in kinematic space recently used to give an all-order
description of Tr $\phi^3$ theory. We propose that in a precise sense the
amplitudes for a suitably "stringy" form of these two theories are identical,
up to a simple shift of kinematic variables. This connection is made possible
by describing the amplitudes for $n$ gluons via a "scalar scaffolding", arising
from the scattering of $2n$ colored scalars coming in $n$ distinct pairs of
flavors fusing to produce the gluons. Fundamental properties of the
"$u$-variables", describing the "binary geometry" for surfaces appearing in the
topological expansion, magically guarantee that the kinematically shifted Tr
$\phi^3$ amplitudes satisfy the physical properties needed to be interpreted as
scaffolded gluons. These include multilinearity, gauge invariance, and
factorization on tree- and loop- level gluon cuts. Our "stringy" scaffolded
gluon amplitudes coincide with amplitudes in the bosonic string for
extra-dimensional gluon polarizations at tree-level, but differ (and are
simpler) at loop-level. We provide many checks on our proposal, including
matching non-trivial leading singularities through two loops. The simple
counting problem underlying the $u$ variables autonomously "knows" about
everything needed to convert colored scalar to gluon amplitudes, exposing a
striking "discovery" of Yang-Mills amplitudes from elementary combinatorial
ideas in kinematic space.
| [
{
"created": "Fri, 29 Dec 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2024 15:25:53 GMT",
"version": "v2"
}
] | 2024-08-16 | [
[
"Arkani-Hamed",
"Nima",
""
],
[
"Cao",
"Qu",
""
],
[
"Dong",
"Jin",
""
],
[
"Figueiredo",
"Carolina",
""
],
[
"He",
"Song",
""
]
] | We present a new formulation for Yang-Mills scattering amplitudes in any number of dimensions and at any loop order, based on the same combinatorial and binary-geometric ideas in kinematic space recently used to give an all-order description of Tr $\phi^3$ theory. We propose that in a precise sense the amplitudes for a suitably "stringy" form of these two theories are identical, up to a simple shift of kinematic variables. This connection is made possible by describing the amplitudes for $n$ gluons via a "scalar scaffolding", arising from the scattering of $2n$ colored scalars coming in $n$ distinct pairs of flavors fusing to produce the gluons. Fundamental properties of the "$u$-variables", describing the "binary geometry" for surfaces appearing in the topological expansion, magically guarantee that the kinematically shifted Tr $\phi^3$ amplitudes satisfy the physical properties needed to be interpreted as scaffolded gluons. These include multilinearity, gauge invariance, and factorization on tree- and loop- level gluon cuts. Our "stringy" scaffolded gluon amplitudes coincide with amplitudes in the bosonic string for extra-dimensional gluon polarizations at tree-level, but differ (and are simpler) at loop-level. We provide many checks on our proposal, including matching non-trivial leading singularities through two loops. The simple counting problem underlying the $u$ variables autonomously "knows" about everything needed to convert colored scalar to gluon amplitudes, exposing a striking "discovery" of Yang-Mills amplitudes from elementary combinatorial ideas in kinematic space. |
2008.06618 | Alexey Milekhin | Juan Maldacena, Alexey Milekhin | Humanly traversable wormholes | 15+3 pages, 3 figures | Phys. Rev. D 103, 066007 (2021) | 10.1103/PhysRevD.103.066007 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out that there can be humanly traversable wormhole solutions in some
previously considered theories for physics beyond the Standard Model, namely
the Randall-Sundrum model.
| [
{
"created": "Sat, 15 Aug 2020 01:13:38 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Nov 2020 21:17:05 GMT",
"version": "v2"
}
] | 2021-03-17 | [
[
"Maldacena",
"Juan",
""
],
[
"Milekhin",
"Alexey",
""
]
] | We point out that there can be humanly traversable wormhole solutions in some previously considered theories for physics beyond the Standard Model, namely the Randall-Sundrum model. |
hep-th/0310276 | Pijush K. Ghosh | Pijush K. Ghosh and Kumar S. Gupta | On the Real Spectra of Calogero Model with Complex Coupling | revtex4 8 pages, 2 figures | Phys.Lett. A323 (2004) 29-33 | 10.1016/j.physleta.2004.01.020 | SINP/TNP/03-37 | hep-th cond-mat nlin.SI quant-ph | null | We study the eigenvalue problem of the rational Calogero model with the
coupling of the inverse-square interaction as a complex number. We show that
although this model is manifestly non-invariant under the combined parity and
time-reversal symmetry ${\cal{PT}}$, the eigenstates corresponding to the zero
value of the generalized angular momentum have real energies.
| [
{
"created": "Thu, 30 Oct 2003 08:59:52 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jan 2004 10:47:12 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Ghosh",
"Pijush K.",
""
],
[
"Gupta",
"Kumar S.",
""
]
] | We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifestly non-invariant under the combined parity and time-reversal symmetry ${\cal{PT}}$, the eigenstates corresponding to the zero value of the generalized angular momentum have real energies. |
1402.2048 | Hyeonjoon Shin | Makoto Sakaguchi, Hyeonjoon Shin, Kentaroh Yoshida | No pair production of open strings in a plane-wave background | 28 pages; v3: reference and comments added, typos corrected, matches
the published version | null | 10.1103/PhysRevD.90.066009 | KUNS-2480, KIAS-P14023 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider whether an external electric field may cause the pair production
of open strings in a type IIA plane-wave background. The boundary states of
D-branes with condensates are constructed in the Green-Schwarz formulation of
superstring theory with the light-cone gauge. The cylinder diagrams are
computed with massive theta functions. Although the value of the electric field
is bounded by the upper value, there is no pole in the amplitudes and it
indicates that no pair production occurs in the plane-wave background. This
result would be universal for a class of plane-wave backgrounds.
| [
{
"created": "Mon, 10 Feb 2014 06:27:58 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2014 13:48:12 GMT",
"version": "v2"
},
{
"created": "Mon, 15 Sep 2014 09:28:26 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Sakaguchi",
"Makoto",
""
],
[
"Shin",
"Hyeonjoon",
""
],
[
"Yoshida",
"Kentaroh",
""
]
] | We consider whether an external electric field may cause the pair production of open strings in a type IIA plane-wave background. The boundary states of D-branes with condensates are constructed in the Green-Schwarz formulation of superstring theory with the light-cone gauge. The cylinder diagrams are computed with massive theta functions. Although the value of the electric field is bounded by the upper value, there is no pole in the amplitudes and it indicates that no pair production occurs in the plane-wave background. This result would be universal for a class of plane-wave backgrounds. |
0909.2776 | Emmanuil Saridakis | Yi-Fu Cai, Emmanuel N. Saridakis, Mohammad R. Setare, and Jun-Qing Xia | Quintom Cosmology: Theoretical implications and observations | 105 pages, 36 figures, version published at Physics Reports | Phys.Rept.493:1-60,2010 | 10.1016/j.physrep.2010.04.001 | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the paradigm of quintom cosmology. This scenario is motivated by
the observational indications that the equation of state of dark energy across
the cosmological constant boundary is mildly favored, although the data are
still far from being conclusive. As a theoretical setup we introduce a no-go
theorem existing in quintom cosmology, and based on it we discuss the
conditions for the equation of state of dark energy realizing the quintom
scenario. The simplest quintom model can be achieved by introducing two scalar
fields with one being quintessence and the other phantom. Based on the
double-field quintom model we perform a detailed analysis of dark energy
perturbations and we discuss their effects on current observations. This type
of scenarios usually suffer from a manifest problem due to the existence of a
ghost degree of freedom, and thus we review various alternative realizations of
the quintom paradigm. The developments in particle physics and string theory
provide potential clues indicating that a quintom scenario may be obtained from
scalar systems with higher derivative terms, as well as from non-scalar
systems. Additionally, we construct a quintom realization in the framework of
braneworld cosmology, where the cosmic acceleration and the phantom divide
crossing result from the combined effects of the field evolution on the brane
and the competition between four and five dimensional gravity. Finally, we
study the outsets and fates of a universe in quintom cosmology. In a scenario
with null energy condition violation one may obtain a bouncing solution at
early times and therefore avoid the Big Bang singularity. Furthermore, if this
occurs periodically, we obtain a realization of an oscillating universe.
Lastly, we comment on several open issues in quintom cosmology and their
connection to future investigations.
| [
{
"created": "Tue, 15 Sep 2009 11:39:10 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2010 15:03:24 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Cai",
"Yi-Fu",
""
],
[
"Saridakis",
"Emmanuel N.",
""
],
[
"Setare",
"Mohammad R.",
""
],
[
"Xia",
"Jun-Qing",
""
]
] | We review the paradigm of quintom cosmology. This scenario is motivated by the observational indications that the equation of state of dark energy across the cosmological constant boundary is mildly favored, although the data are still far from being conclusive. As a theoretical setup we introduce a no-go theorem existing in quintom cosmology, and based on it we discuss the conditions for the equation of state of dark energy realizing the quintom scenario. The simplest quintom model can be achieved by introducing two scalar fields with one being quintessence and the other phantom. Based on the double-field quintom model we perform a detailed analysis of dark energy perturbations and we discuss their effects on current observations. This type of scenarios usually suffer from a manifest problem due to the existence of a ghost degree of freedom, and thus we review various alternative realizations of the quintom paradigm. The developments in particle physics and string theory provide potential clues indicating that a quintom scenario may be obtained from scalar systems with higher derivative terms, as well as from non-scalar systems. Additionally, we construct a quintom realization in the framework of braneworld cosmology, where the cosmic acceleration and the phantom divide crossing result from the combined effects of the field evolution on the brane and the competition between four and five dimensional gravity. Finally, we study the outsets and fates of a universe in quintom cosmology. In a scenario with null energy condition violation one may obtain a bouncing solution at early times and therefore avoid the Big Bang singularity. Furthermore, if this occurs periodically, we obtain a realization of an oscillating universe. Lastly, we comment on several open issues in quintom cosmology and their connection to future investigations. |
hep-th/0111291 | Mariam Bouhmadi-Lopez | M. Bouhmadi-Lopez, P. F. Gonzalez-Diaz, A. Zhuk | Perfect fluid brane-world model | 14 pages, LateX2e, 4 figures | null | null | null | hep-th | null | By considering 5--dimensional cosmological models with a bulk filled with a
perfect fluid and a cosmological constant, we have found regular instantonic
solution which is free from any singularity at the origin of the
extra--coordinate and describe 5--dimensional asymptotically anti de Sitter
wormhole, when the bulk has a topology $ R \times S^4 $ and is filled with dust
and a negative cosmological constant. Compactified brane-world instantons which
are built up from such instantonic solution describe either a single brane or a
string of branes. Their analytical continuation to the pseudo--Riemannian
metric can give rise to either 4-dimensional inflating branes or solutions with
the same dynamical behaviour for extra--dimension and branes, in addition to
multitemporal solutions. Dust brane-world models with other spatial topologies
are also considered.
| [
{
"created": "Fri, 30 Nov 2001 17:54:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bouhmadi-Lopez",
"M.",
""
],
[
"Gonzalez-Diaz",
"P. F.",
""
],
[
"Zhuk",
"A.",
""
]
] | By considering 5--dimensional cosmological models with a bulk filled with a perfect fluid and a cosmological constant, we have found regular instantonic solution which is free from any singularity at the origin of the extra--coordinate and describe 5--dimensional asymptotically anti de Sitter wormhole, when the bulk has a topology $ R \times S^4 $ and is filled with dust and a negative cosmological constant. Compactified brane-world instantons which are built up from such instantonic solution describe either a single brane or a string of branes. Their analytical continuation to the pseudo--Riemannian metric can give rise to either 4-dimensional inflating branes or solutions with the same dynamical behaviour for extra--dimension and branes, in addition to multitemporal solutions. Dust brane-world models with other spatial topologies are also considered. |
1107.5454 | Tomas Ortin | P. Meessen, T. Ortin | Non-Extremal Black Holes of N=2,d=5 Supergravity | LaTeX2e file, 12 pages | null | 10.1016/j.physletb.2011.12.006 | FPAUO-11-11 , IFT-UAM/CSIC-11-55 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the generalization of the Ansatz of Galli et al. for non-extremal
black holes of N=2,d=4 supergravities for a simple model of N=2,d=5
supergravity with a vector multiplet whose moduli space has two branches. We
use the formalism of Ferrara, Gibbons and Kallosh, which we generalize to any
dimension d. We find that the equations of motion of the model studied can be
completely integrated without the use of our Anstaz (which is,nevertheless,
recovered in the integration). The family of solutions found (common to both
branches) is characterized by five independent parameters: the mass M, the
electric charges q_{0},q_{1}, the asymptotic value of the scalar at infinity
\phi_{\infty} and the scalar charge \Sigma. The solutions have a singular
horizon whenever \Sigma differs from a specific expression
\Sigma_{0}(M,q_{0},q_{1},phi_{\infty}) (i.e. when there is primary scalar hair
\Sigma-\Sigma_{0}\neq 0). The family of regular black holes interpolates
between its two extremal limits. The supersymmetry properties of the extremal
solutions depend on the choice of branch: one is always supersymmetric and the
other non-supersymmetric in one branch and the reverse in the other one.
| [
{
"created": "Wed, 27 Jul 2011 12:36:37 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Meessen",
"P.",
""
],
[
"Ortin",
"T.",
""
]
] | We study the generalization of the Ansatz of Galli et al. for non-extremal black holes of N=2,d=4 supergravities for a simple model of N=2,d=5 supergravity with a vector multiplet whose moduli space has two branches. We use the formalism of Ferrara, Gibbons and Kallosh, which we generalize to any dimension d. We find that the equations of motion of the model studied can be completely integrated without the use of our Anstaz (which is,nevertheless, recovered in the integration). The family of solutions found (common to both branches) is characterized by five independent parameters: the mass M, the electric charges q_{0},q_{1}, the asymptotic value of the scalar at infinity \phi_{\infty} and the scalar charge \Sigma. The solutions have a singular horizon whenever \Sigma differs from a specific expression \Sigma_{0}(M,q_{0},q_{1},phi_{\infty}) (i.e. when there is primary scalar hair \Sigma-\Sigma_{0}\neq 0). The family of regular black holes interpolates between its two extremal limits. The supersymmetry properties of the extremal solutions depend on the choice of branch: one is always supersymmetric and the other non-supersymmetric in one branch and the reverse in the other one. |
hep-th/9511207 | null | A. Bellini, M. Ciafaloni and P. Valtancoli | Solving The N-Body Problem in (2+1)-Gravity | 43 pages, LaTeX, ( figures are not included ) | Nucl.Phys. B462 (1996) 453-492 | 10.1016/0550-3213(96)00031-4 | DFF 238/11/95 | hep-th | null | We construct a non-perturbative, single-valued solution for the metric and
the motion of $N$ interacting particles in $2+1$-Gravity. The solution is
explicit for two particles with any speed and for any number of particles with
small speed. It is based on a mapping from multivalued Minkowskian coordinates
to single-valued ones, which solves the non-abelian monodromies due to
particles' momenta. The two and three-body cases are treated in detail.
| [
{
"created": "Wed, 29 Nov 1995 12:14:01 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Bellini",
"A.",
""
],
[
"Ciafaloni",
"M.",
""
],
[
"Valtancoli",
"P.",
""
]
] | We construct a non-perturbative, single-valued solution for the metric and the motion of $N$ interacting particles in $2+1$-Gravity. The solution is explicit for two particles with any speed and for any number of particles with small speed. It is based on a mapping from multivalued Minkowskian coordinates to single-valued ones, which solves the non-abelian monodromies due to particles' momenta. The two and three-body cases are treated in detail. |
hep-th/0702183 | Victor M. Villalba | Victor M. Villalba, Luis A. Gonzalez-Diaz | Resonant states in an attractive one dimensional cusp potential | 11 pages. To appear in Physica Scripta | Phys.Scripta75:645-650,2007 | 10.1088/0031-8949/75/5/009 | null | hep-th | null | We solve the two-component Dirac equation in the presence of a spatially one
dimensional symmetric attractive cusp potential. The components of the spinor
solution are expressed in terms of Whittaker functions. We compute the bound
states solutions and show that, as the potential amplitude increases, the
lowest energy state sinks into the Dirac sea becoming a resonance. We
characterize and compute the lifetime of the resonant state with the help of
the phase shift and the Breit-Wigner relation. We discuss the limit when the
cusp potential reduces to a delta point interaction.
| [
{
"created": "Thu, 22 Feb 2007 15:55:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Villalba",
"Victor M.",
""
],
[
"Gonzalez-Diaz",
"Luis A.",
""
]
] | We solve the two-component Dirac equation in the presence of a spatially one dimensional symmetric attractive cusp potential. The components of the spinor solution are expressed in terms of Whittaker functions. We compute the bound states solutions and show that, as the potential amplitude increases, the lowest energy state sinks into the Dirac sea becoming a resonance. We characterize and compute the lifetime of the resonant state with the help of the phase shift and the Breit-Wigner relation. We discuss the limit when the cusp potential reduces to a delta point interaction. |
1308.2544 | Anastasios Taliotis | Yiannis Constantinou and Anastasios Taliotis | Bremsstrahlung and black hole production from collisions of
ultra-boosted particles at non-zero impact parameter | 16 pages, 7 figures | null | 10.1007/JHEP11(2013)175 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The collision of two massless, gravitationally interacting, point-like
massless particles, boosted to the speed of light, colliding with an impact
parameter b is being investigated. The collision takes place in four space-time
flat dimensional background. A perturbative scheme is employed and the
corrections to the energy momentum tensor and to the metric are computed and
closed form formulas are provided. This includes the back-reaction on the
metric after the collision. Including such corrections suggests that the
tracelessness of the initial stress tensors of the colliding particles is
preserved during and after the collision. The necessity for introducing an
impact parameter in the perturbative treatment is highlighted and the breaking
of the underlying perturbative approach at b = 0 is motivated. In addition, the
energy radiated in the form of gravitational bremsstrahlung radiation is
discussed while an example from gravitational-waves collision is being studied.
| [
{
"created": "Mon, 12 Aug 2013 12:31:33 GMT",
"version": "v1"
}
] | 2015-06-16 | [
[
"Constantinou",
"Yiannis",
""
],
[
"Taliotis",
"Anastasios",
""
]
] | The collision of two massless, gravitationally interacting, point-like massless particles, boosted to the speed of light, colliding with an impact parameter b is being investigated. The collision takes place in four space-time flat dimensional background. A perturbative scheme is employed and the corrections to the energy momentum tensor and to the metric are computed and closed form formulas are provided. This includes the back-reaction on the metric after the collision. Including such corrections suggests that the tracelessness of the initial stress tensors of the colliding particles is preserved during and after the collision. The necessity for introducing an impact parameter in the perturbative treatment is highlighted and the breaking of the underlying perturbative approach at b = 0 is motivated. In addition, the energy radiated in the form of gravitational bremsstrahlung radiation is discussed while an example from gravitational-waves collision is being studied. |
1208.5626 | Korbinian Muenster | Korbinian Muenster, Ivo Sachs | Homotopy Classification of Bosonic String Field Theory | 39 pages, 6 figures, 1 table | null | null | LMU-ASC 62/12 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove the decomposition theorem for the loop homotopy algebra of quantum
closed string field theory and use it to show that closed string field theory
is unique up to gauge transformations on a given string background and given
S-matrix. For the theory of open and closed strings we use results in
open-closed homotopy algebra to show that the space of inequivalent open string
field theories is isomorphic to the space of classical closed string
backgrounds. As a further application of the open-closed homotopy algebra we
show that string field theory is background independent and locally unique in a
very precise sense. Finally we discuss topological string theory in the
framework of homotopy algebras and find a generalized correspondence between
closed strings and open string field theories.
| [
{
"created": "Tue, 28 Aug 2012 11:16:02 GMT",
"version": "v1"
}
] | 2012-08-29 | [
[
"Muenster",
"Korbinian",
""
],
[
"Sachs",
"Ivo",
""
]
] | We prove the decomposition theorem for the loop homotopy algebra of quantum closed string field theory and use it to show that closed string field theory is unique up to gauge transformations on a given string background and given S-matrix. For the theory of open and closed strings we use results in open-closed homotopy algebra to show that the space of inequivalent open string field theories is isomorphic to the space of classical closed string backgrounds. As a further application of the open-closed homotopy algebra we show that string field theory is background independent and locally unique in a very precise sense. Finally we discuss topological string theory in the framework of homotopy algebras and find a generalized correspondence between closed strings and open string field theories. |
hep-th/0106262 | Jacques Distler | Ilka Brunner, Jacques Distler and Rahul Mahajan | Return of the Torsion D-Branes | 33 pages, 1 figure, LaTeX2e with utarticle.cls and utphys.bst | Adv.Theor.Math.Phys. 5 (2002) 311-352 | null | UTTG-09-01, RUTHETC-2001-19, NSFITP-01-66 | hep-th | null | We study D-branes on Calabi-Yau manifolds, carrying charges which are torsion
elements of the K-theory. Interesting physics ensues when we follow these
branes into nongeometrical phases of the compactification. On the level of
K-theory, we determine the monodromies of the group of charges as we circle
singular loci in the closed string moduli space. Going beyond K-theory, we
discuss the stability of torsion D-branes as a function of the K\"ahler moduli.
When the fundamental group of the Calabi-Yau is nonabelian, we find evidence
for new threshold bound states of BPS branes. In a two-parameter example, we
compare our results with computations in the Gepner model. Our study of the
torsion D-branes in the compactification of [FHSV] sheds light on the physics
of that model. In particular, we develop a proposal for the group of allowed
D-brane charges in the presence of discrete RR fluxes.
| [
{
"created": "Wed, 27 Jun 2001 23:27:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Brunner",
"Ilka",
""
],
[
"Distler",
"Jacques",
""
],
[
"Mahajan",
"Rahul",
""
]
] | We study D-branes on Calabi-Yau manifolds, carrying charges which are torsion elements of the K-theory. Interesting physics ensues when we follow these branes into nongeometrical phases of the compactification. On the level of K-theory, we determine the monodromies of the group of charges as we circle singular loci in the closed string moduli space. Going beyond K-theory, we discuss the stability of torsion D-branes as a function of the K\"ahler moduli. When the fundamental group of the Calabi-Yau is nonabelian, we find evidence for new threshold bound states of BPS branes. In a two-parameter example, we compare our results with computations in the Gepner model. Our study of the torsion D-branes in the compactification of [FHSV] sheds light on the physics of that model. In particular, we develop a proposal for the group of allowed D-brane charges in the presence of discrete RR fluxes. |
hep-th/9707007 | Javier Borlaf | Javier Borlaf(Universidad Aut\'onoma de Madrid) | Geometry of T-duality | Latex, 18 pages | Nucl.Phys. B514 (1998) 721-739 | 10.1016/S0550-3213(98)00004-2 | FTUAM-97-8 | hep-th | null | A "reduced" differential geometry adapted to the presence of abelian
isometries is constructed.Classical T-duality diagonalizes in this setting,
allowing us to get conveniently the transformation of the relevant geometrical
objects such as connections, pullbacks and generalized curvatures.Moreover we
can induce privileged maps from the viewpoint of the covariant derivatives in
the target-space and in the world-sheet generalizing previous results, at the
same time that we can correct connections and curvatures covariantly in order
to have a proper transformation under T-duality.
| [
{
"created": "Tue, 1 Jul 1997 11:23:19 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Borlaf",
"Javier",
"",
"Universidad Autónoma de Madrid"
]
] | A "reduced" differential geometry adapted to the presence of abelian isometries is constructed.Classical T-duality diagonalizes in this setting, allowing us to get conveniently the transformation of the relevant geometrical objects such as connections, pullbacks and generalized curvatures.Moreover we can induce privileged maps from the viewpoint of the covariant derivatives in the target-space and in the world-sheet generalizing previous results, at the same time that we can correct connections and curvatures covariantly in order to have a proper transformation under T-duality. |
hep-th/9803229 | Euro Spallucci | S.Ansoldi, A.Aurilia, E.Spallucci | Loop Quantum Mechanics and the Fractal Structure of Quantum Spacetime | 19pag. ReVTeX, 1fig. Invited paper to appear in the special issue of
{\it Chaos, Solitons and Fractals} on ``Super strings, M,F,S,...Theory''
(M.S. El Naschie and C.Castro, eds | Chaos Solitons Fractals 10 (1999) 197 | 10.1016/S0960-0779(98)00115-5 | null | hep-th | null | We discuss the relation between string quantization based on the Schild path
integral and the Nambu-Goto path integral. The equivalence between the two
approaches at the classical level is extended to the quantum level by a
saddle--point evaluation of the corresponding path integrals. A possible
relationship between M-Theory and the quantum mechanics of string loops is
pointed out. Then, within the framework of ``loop quantum mechanics'', we
confront the difficult question as to what exactly gives rise to the structure
of spacetime. We argue that the large scale properties of the string condensate
are responsible for the effective Riemannian geometry of classical spacetime.
On the other hand, near the Planck scale the condensate ``evaporates'', and
what is left behind is a ``vacuum'' characterized by an effective fractal
geometry.
| [
{
"created": "Fri, 27 Mar 1998 10:23:02 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Ansoldi",
"S.",
""
],
[
"Aurilia",
"A.",
""
],
[
"Spallucci",
"E.",
""
]
] | We discuss the relation between string quantization based on the Schild path integral and the Nambu-Goto path integral. The equivalence between the two approaches at the classical level is extended to the quantum level by a saddle--point evaluation of the corresponding path integrals. A possible relationship between M-Theory and the quantum mechanics of string loops is pointed out. Then, within the framework of ``loop quantum mechanics'', we confront the difficult question as to what exactly gives rise to the structure of spacetime. We argue that the large scale properties of the string condensate are responsible for the effective Riemannian geometry of classical spacetime. On the other hand, near the Planck scale the condensate ``evaporates'', and what is left behind is a ``vacuum'' characterized by an effective fractal geometry. |
hep-th/9705073 | D. V. Antonov | D.V.Antonov (Humboldt University, Berlin and ITEP, Moscow) | Towards the Realistic Gluodynamics String. Perturbative Gluons'
Contribution to the String Effective Action | 8 pages, LaTeX, no figures | null | null | null | hep-th | null | Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian
Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an
integral over all the orientations in colour space, are applied to derivation
of the correction to the background-induced string effective action. This
correction is due to accounting in the lowest order of perturbation theory for
the interaction of perturbative gluons with the string world sheet. It occurs
that this interaction affects only the coupling constant of the rigidity term,
while its contribution to the string tension of the Nambu-Goto term vanishes.
The obtained correction to the rigid string coupling constant multiplicatively
depends on the spin of the representation of the Wilson loop under
consideration, the QCD coupling constant and a certain path integral, which
includes the background Wilson average.
| [
{
"created": "Mon, 12 May 1997 18:03:40 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Antonov",
"D. V.",
"",
"Humboldt University, Berlin and ITEP, Moscow"
]
] | Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to derivation of the correction to the background-induced string effective action. This correction is due to accounting in the lowest order of perturbation theory for the interaction of perturbative gluons with the string world sheet. It occurs that this interaction affects only the coupling constant of the rigidity term, while its contribution to the string tension of the Nambu-Goto term vanishes. The obtained correction to the rigid string coupling constant multiplicatively depends on the spin of the representation of the Wilson loop under consideration, the QCD coupling constant and a certain path integral, which includes the background Wilson average. |
hep-th/9205060 | Mirjam Cvetic | M. Cveti\v{c} and R. L. Davis | Cosmological Implications of Domain Walls due to Duality Invariant
Moduli Sector of Superstring Vacua | 10p., 3 figures, not included, minor wording changes | Phys.Lett.B296:316-322,1992 | 10.1016/0370-2693(92)91327-6 | null | hep-th hep-ph | null | We study cosmological implications of the duality ($PSL(2,{\bf Z})$)
invariant potential for the compactification radius $T$, arising in a class of
superstring vacua. We show that in spite of having only one minimum in the
fundamental domain of the $T$ field there are two types of non-supersymmetric
domain walls: one is associated with the discrete Peccei-Quinn symmetry $T\to
T+i$, analogous to the axionic domain wall, and another one associated with the
noncompact symmetry $T\to 1/T$, analogous to the $Z_2$ domain walls. The first
one is bound by stringy cosmic strings. The scale of such domain walls is
governed by the scale of gaugino condensation (${\cal O} (10^{16}$ GeV) in the
case of hidden $E_8$ gauge group), while the separation between minima is of
order $M_{pl}$. We discuss the formation of walls and their cosmological
implications: the walls must be gotten rid of, either by chopping by stringy
cosmic strings and/or inflation. Since there is no usual Kibble mechanism to
create strings, either one must assume they exist $ab initio$, or one must
conclude that string cosmologies require inflation. The non-perturbative
potential dealt with here appears not to give the needed inflationary epoch.
| [
{
"created": "Mon, 18 May 1992 15:33:19 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 1992 17:56:09 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Cvetič",
"M.",
""
],
[
"Davis",
"R. L.",
""
]
] | We study cosmological implications of the duality ($PSL(2,{\bf Z})$) invariant potential for the compactification radius $T$, arising in a class of superstring vacua. We show that in spite of having only one minimum in the fundamental domain of the $T$ field there are two types of non-supersymmetric domain walls: one is associated with the discrete Peccei-Quinn symmetry $T\to T+i$, analogous to the axionic domain wall, and another one associated with the noncompact symmetry $T\to 1/T$, analogous to the $Z_2$ domain walls. The first one is bound by stringy cosmic strings. The scale of such domain walls is governed by the scale of gaugino condensation (${\cal O} (10^{16}$ GeV) in the case of hidden $E_8$ gauge group), while the separation between minima is of order $M_{pl}$. We discuss the formation of walls and their cosmological implications: the walls must be gotten rid of, either by chopping by stringy cosmic strings and/or inflation. Since there is no usual Kibble mechanism to create strings, either one must assume they exist $ab initio$, or one must conclude that string cosmologies require inflation. The non-perturbative potential dealt with here appears not to give the needed inflationary epoch. |
1907.05662 | Josef Kluson | J. Kluson | Non-Relativistic D-brane from T-duality Along Null Direction | 15 pages, v2: reference added | null | 10.1007/JHEP10(2019)153 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct new type of non-relativistic D-branes which are defined with the
help of T-duality along null direction. We find Lagrangian and Hamiltonian
formulation of these D-branes and study their properties under T-duality
transformations.
| [
{
"created": "Fri, 12 Jul 2019 10:26:09 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2019 10:03:00 GMT",
"version": "v2"
}
] | 2020-01-08 | [
[
"Kluson",
"J.",
""
]
] | We construct new type of non-relativistic D-branes which are defined with the help of T-duality along null direction. We find Lagrangian and Hamiltonian formulation of these D-branes and study their properties under T-duality transformations. |
0804.4721 | Kazuo Hosomichi | Kazuo Hosomichi | Minimal Open Strings | 14 pages, 1 figure, 1 reference added | JHEP 0806:029,2008 | 10.1088/1126-6708/2008/06/029 | KIAS-P08033 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study FZZT-branes and open string amplitudes in (p,q) minimal string
theory. We focus on the simplest boundary changing operators in two-matrix
models, and identify the corresponding operators in worldsheet theory through
the comparison of amplitudes. Along the way, we find a novel linear relation
among FZZT boundary states in minimal string theory. We also show that the
boundary ground ring is realized on physical open string operators in a very
simple manner, and discuss its use for perturbative computation of higher open
string amplitudes.
| [
{
"created": "Wed, 30 Apr 2008 02:35:32 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jun 2008 16:01:04 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Hosomichi",
"Kazuo",
""
]
] | We study FZZT-branes and open string amplitudes in (p,q) minimal string theory. We focus on the simplest boundary changing operators in two-matrix models, and identify the corresponding operators in worldsheet theory through the comparison of amplitudes. Along the way, we find a novel linear relation among FZZT boundary states in minimal string theory. We also show that the boundary ground ring is realized on physical open string operators in a very simple manner, and discuss its use for perturbative computation of higher open string amplitudes. |
hep-th/0701288 | Panagiota Kanti | S. Creek, O. Efthimiou, P. Kanti and K. Tamvakis | Greybody Factors for Brane Scalar Fields in a Rotating Black-Hole
Background | Latex file, 30 pages, 5 figures, typos corrected, version published
in Phys. Rev. D | Phys.Rev.D75:084043,2007 | 10.1103/PhysRevD.75.084043 | null | hep-th astro-ph gr-qc hep-ph | null | We study the evaporation of (4+n)-dimensional rotating black holes into
scalar degrees of freedom on the brane. We calculate the corresponding
absorption probabilities and cross-sections obtaining analytic solutions in the
low-energy regime, and compare the derived analytic expressions to numerical
results, with very good agreement. We then consider the high-energy regime,
construct an analytic high-energy solution to the scalar-field equation by
employing a new method, and calculate the absorption probability and
cross-section for this energy regime, finding again a very good agreement with
the exact numerical results. We also determine the high-energy asymptotic value
of the total cross-section, and compare it to the analytic results derived from
the application of the geometrical optics limit.
| [
{
"created": "Wed, 31 Jan 2007 10:04:42 GMT",
"version": "v1"
},
{
"created": "Thu, 3 May 2007 16:45:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Creek",
"S.",
""
],
[
"Efthimiou",
"O.",
""
],
[
"Kanti",
"P.",
""
],
[
"Tamvakis",
"K.",
""
]
] | We study the evaporation of (4+n)-dimensional rotating black holes into scalar degrees of freedom on the brane. We calculate the corresponding absorption probabilities and cross-sections obtaining analytic solutions in the low-energy regime, and compare the derived analytic expressions to numerical results, with very good agreement. We then consider the high-energy regime, construct an analytic high-energy solution to the scalar-field equation by employing a new method, and calculate the absorption probability and cross-section for this energy regime, finding again a very good agreement with the exact numerical results. We also determine the high-energy asymptotic value of the total cross-section, and compare it to the analytic results derived from the application of the geometrical optics limit. |
1704.01131 | Supranta Sarma Boruah | Supranta S. Boruah, Hyung J. Kim, Ghazal Geshnizjani | Theory of Cosmological Perturbations with Cuscuton | 11 pages, no figures | null | 10.1088/1475-7516/2017/07/022 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents the first derivation of the quadratic action for
curvature perturbations, $\zeta$, within the framework of cuscuton gravity. We
study the scalar cosmological perturbations sourced by a canonical single
scalar field in the presence of cuscuton field. We identify $\zeta$ as comoving
curvature with respect to the source field and we show that it retains its
conservation characteristic on super horizon scales. The result provides an
explicit proof that cuscuton modification of gravity around
Friedmann-Lemaitre-Robertson-Walker (FLRW) metric is ghost free. We also
investigate the potential development of other instabilities in cuscuton
models. We find that in a large class of these models, there is no generic
instability problem. However, depending on the details of slow-roll parameters,
specific models may display gradient instabilities.
| [
{
"created": "Tue, 4 Apr 2017 18:02:01 GMT",
"version": "v1"
}
] | 2017-07-26 | [
[
"Boruah",
"Supranta S.",
""
],
[
"Kim",
"Hyung J.",
""
],
[
"Geshnizjani",
"Ghazal",
""
]
] | This paper presents the first derivation of the quadratic action for curvature perturbations, $\zeta$, within the framework of cuscuton gravity. We study the scalar cosmological perturbations sourced by a canonical single scalar field in the presence of cuscuton field. We identify $\zeta$ as comoving curvature with respect to the source field and we show that it retains its conservation characteristic on super horizon scales. The result provides an explicit proof that cuscuton modification of gravity around Friedmann-Lemaitre-Robertson-Walker (FLRW) metric is ghost free. We also investigate the potential development of other instabilities in cuscuton models. We find that in a large class of these models, there is no generic instability problem. However, depending on the details of slow-roll parameters, specific models may display gradient instabilities. |
1605.01386 | Dmitry Chicherin | Dmitry Chicherin, Emery Sokatchev | Composite operators and form factors in N=4 SYM | 32 pages | null | 10.1088/1751-8121/aa72fe | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the most general composite operators of N = 4 SYM in Lorentz
harmonic chiral ($\approx$ twistor) superspace. The operators are built from
the SYM supercurvature which is nonpolynomial in the chiral gauge
prepotentials. We reconstruct the full nonchiral dependence of the
supercurvature. We compute all tree-level MHV form factors via the LSZ
redcution procedure with on-shell states made of the same supercurvature.
| [
{
"created": "Wed, 4 May 2016 19:16:01 GMT",
"version": "v1"
}
] | 2017-06-28 | [
[
"Chicherin",
"Dmitry",
""
],
[
"Sokatchev",
"Emery",
""
]
] | We construct the most general composite operators of N = 4 SYM in Lorentz harmonic chiral ($\approx$ twistor) superspace. The operators are built from the SYM supercurvature which is nonpolynomial in the chiral gauge prepotentials. We reconstruct the full nonchiral dependence of the supercurvature. We compute all tree-level MHV form factors via the LSZ redcution procedure with on-shell states made of the same supercurvature. |
1603.06453 | Jorge Alfaro | Jorge Alfaro | Mandelstam-Leibbrandt prescription | Latex 7 pages | Physical Review D 93, 065033 (2016) | 10.1103/PhysRevD.93.065033 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The light cone gauge is used frequently in string theory as well as gauge
theories and gravitation. Loop integrals however have to be infrared regulated
to remove spurious poles. The most popular and consistent of these infrared
regulators is the Mandelstam-Leibbrandt(ML) prescription. The calculations with
ML are rather cumbersome, though. In this work we show that the ML can be
replaced by a symmetry of the regulator. This symmetry simplify the
calculations, reducing them to conventional dimensional regularization
integrals.
| [
{
"created": "Mon, 21 Mar 2016 15:24:58 GMT",
"version": "v1"
}
] | 2016-03-22 | [
[
"Alfaro",
"Jorge",
""
]
] | The light cone gauge is used frequently in string theory as well as gauge theories and gravitation. Loop integrals however have to be infrared regulated to remove spurious poles. The most popular and consistent of these infrared regulators is the Mandelstam-Leibbrandt(ML) prescription. The calculations with ML are rather cumbersome, though. In this work we show that the ML can be replaced by a symmetry of the regulator. This symmetry simplify the calculations, reducing them to conventional dimensional regularization integrals. |
0705.2373 | Luis Borbonet | L. Alejandro Correa-Borbonet | Bekenstein Bound and Spectral Geometry | 4 pages. References and few comments added | null | null | null | hep-th | null | In this letter it is proposed to study the Bekenstein's $\xi(4)$ calculation
of the $S/E$ bound for more general geometries. It is argued that, using some
relations among eigenvalues obtained in the context of Spectral Geometry, it is
possible to estimate $\xi(4)$ without an exact analytical knowledge of the
spectrum. Finally it is claimed that isospectrality can define a class of
domains with the same ratio $S/E$.
| [
{
"created": "Wed, 16 May 2007 15:05:35 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Dec 2007 21:23:04 GMT",
"version": "v2"
}
] | 2007-12-06 | [
[
"Correa-Borbonet",
"L. Alejandro",
""
]
] | In this letter it is proposed to study the Bekenstein's $\xi(4)$ calculation of the $S/E$ bound for more general geometries. It is argued that, using some relations among eigenvalues obtained in the context of Spectral Geometry, it is possible to estimate $\xi(4)$ without an exact analytical knowledge of the spectrum. Finally it is claimed that isospectrality can define a class of domains with the same ratio $S/E$. |
2212.14619 | Navid Abbasi | Navid Abbasi, Ali Davody, Sara Tahery | On the correlation functions in stable first-order relativistic
hydrodynamics | 16 pages + 3 appendices, 3 figures, comments welcome; v2: references
added, discussion on time reversal invariance revised, sec. (3.3) revised,
analytical solution of the Landau conditions added at the end of sec. (4.2);
v3: sec. (3.3) deleted, sec. (4.2) revised, sec. (4.3) removed, references
added | null | null | null | hep-th hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | First-order relativistic conformal hydrodynamics in a general (hydrodynamic)
frame is characterized by a shear viscosity coefficient and two UV-regulator
parameters. Within a certain range of these parameters, the equilibrium is
stable and propagation is causal. In this work we study the correlation
functions of fluctuations in this theory. We first compute hydrodynamic
correlation functions in the linear response regime. Then we use the linear
response results to explore the analytical structure of response functions
beyond the linear response. A method is developed to numerically calculate the
branch cut structure from the well-known Landau equations. We apply our method
to the shear channel and find the branch cuts of a certain response function,
without computing the response function itself. We then solve the Landau
equations analytically and find the threshold singularities of the same
response function. Using these results, we achieve the leading singularity in
momentum space, by which, we find the long-time tail of the correlation
function. The results turn out to be in complete agreement with the loop
calculations in effective field theory.
| [
{
"created": "Fri, 30 Dec 2022 10:12:41 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2023 07:09:03 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Dec 2023 15:55:34 GMT",
"version": "v3"
}
] | 2023-12-12 | [
[
"Abbasi",
"Navid",
""
],
[
"Davody",
"Ali",
""
],
[
"Tahery",
"Sara",
""
]
] | First-order relativistic conformal hydrodynamics in a general (hydrodynamic) frame is characterized by a shear viscosity coefficient and two UV-regulator parameters. Within a certain range of these parameters, the equilibrium is stable and propagation is causal. In this work we study the correlation functions of fluctuations in this theory. We first compute hydrodynamic correlation functions in the linear response regime. Then we use the linear response results to explore the analytical structure of response functions beyond the linear response. A method is developed to numerically calculate the branch cut structure from the well-known Landau equations. We apply our method to the shear channel and find the branch cuts of a certain response function, without computing the response function itself. We then solve the Landau equations analytically and find the threshold singularities of the same response function. Using these results, we achieve the leading singularity in momentum space, by which, we find the long-time tail of the correlation function. The results turn out to be in complete agreement with the loop calculations in effective field theory. |
1311.5059 | Alexander Sorin | Sergio Ferrara, Pietro Fre, Alexander S. Sorin | On the Topology of the Inflaton Field in Minimal Supergravity Models | 31 pages, LaTex, 7 eps figures, 2 tables | null | 10.1007/JHEP04(2014)095 | CERN-PH-TH/2013-274 | hep-th gr-qc hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider global issues in minimal supergravity models where a single field
inflaton potential emerges. In a particular case we reproduce the Starobinsky
model and its description dual to a certain formulation of R+R^2 supergravity.
For definiteness we confine our analysis to spaces at constant curvature,
either vanishing or negative. Five distinct models arise, two flat models with
respectively a quadratic and a quartic potential and three based on the
SU(1,1)/U(1) space where its distinct isometries, elliptic, hyperbolic and
parabolic are gauged. Fayet-Iliopoulos terms are introduced in a geometric way
and they turn out to be a crucial ingredient in order to describe the de Sitter
inflationary phase of the Starobinsky model.
| [
{
"created": "Wed, 20 Nov 2013 14:12:41 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Ferrara",
"Sergio",
""
],
[
"Fre",
"Pietro",
""
],
[
"Sorin",
"Alexander S.",
""
]
] | We consider global issues in minimal supergravity models where a single field inflaton potential emerges. In a particular case we reproduce the Starobinsky model and its description dual to a certain formulation of R+R^2 supergravity. For definiteness we confine our analysis to spaces at constant curvature, either vanishing or negative. Five distinct models arise, two flat models with respectively a quadratic and a quartic potential and three based on the SU(1,1)/U(1) space where its distinct isometries, elliptic, hyperbolic and parabolic are gauged. Fayet-Iliopoulos terms are introduced in a geometric way and they turn out to be a crucial ingredient in order to describe the de Sitter inflationary phase of the Starobinsky model. |
hep-th/9709055 | Marco Cavaglia | Marco Cavaglia | Two-Dimensional Reduced Theory and General Static Solution for Uncharged
Black p-Branes | 11 pages, plain LaTex, accepted for publication in Phys. Lett. B | Phys.Lett. B413 (1997) 287-292 | 10.1016/S0370-2693(97)01133-7 | null | hep-th gr-qc | null | We derive a two-dimensional effective dilaton - gravity - matter action that
describes the dynamics of an uncharged black p-brane in N dimensions. We show
that this effective theory is completely integrable in the static sector and
establish its general static solution. The solution includes, as a particular
case, the boost symmetric p-brane solution investigated in hep-th/9510202 .
| [
{
"created": "Mon, 8 Sep 1997 09:00:18 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Cavaglia",
"Marco",
""
]
] | We derive a two-dimensional effective dilaton - gravity - matter action that describes the dynamics of an uncharged black p-brane in N dimensions. We show that this effective theory is completely integrable in the static sector and establish its general static solution. The solution includes, as a particular case, the boost symmetric p-brane solution investigated in hep-th/9510202 . |
0711.2387 | Marek Karliner | Itay Hen and Marek Karliner | Hexagonal Structure of Baby Skyrmion Lattices | RevTeX, 7 pages, 6 figures | Phys.Rev.D77:054009,2008 | 10.1103/PhysRevD.77.054009 | null | hep-th | null | We study the zero-temperature crystalline structure of baby Skyrmions by
applying a full-field numerical minimization algorithm to baby Skyrmions placed
inside different parallelogramic unit-cells and imposing periodic boundary
conditions. We find that within this setup, the minimal energy is obtained for
the hexagonal lattice, and that in the resulting configuration the Skyrmion
splits into quarter-Skyrmions. In particular, we find that the energy in the
hexagonal case is lower than the one obtained on the well-studied rectangular
lattice, in which splitting into half-Skyrmions is observed.
| [
{
"created": "Thu, 15 Nov 2007 14:41:51 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Nov 2007 14:23:33 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Jan 2008 11:21:27 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Jan 2008 23:13:11 GMT",
"version": "v4"
}
] | 2008-11-26 | [
[
"Hen",
"Itay",
""
],
[
"Karliner",
"Marek",
""
]
] | We study the zero-temperature crystalline structure of baby Skyrmions by applying a full-field numerical minimization algorithm to baby Skyrmions placed inside different parallelogramic unit-cells and imposing periodic boundary conditions. We find that within this setup, the minimal energy is obtained for the hexagonal lattice, and that in the resulting configuration the Skyrmion splits into quarter-Skyrmions. In particular, we find that the energy in the hexagonal case is lower than the one obtained on the well-studied rectangular lattice, in which splitting into half-Skyrmions is observed. |
2012.02778 | Stefan Groot Nibbelink | Stefan Groot Nibbelink | A Worldsheet Perspective on Heterotic T-Duality Orbifolds | 1+48 LaTeX, an error in the analysis of fixed points addressed and
various minor typos corrected | JHEP 04 (2021) 190 | 10.1007/JHEP04(2021)190 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Asymmetric heterotic orbifolds are discussed from the worldsheet perspective.
Starting from Buscher's gauging of a theory of D compact bosons the duality
covariant description of Tseytlin is obtained after a non-Lorentz invariant
gauge fixing. A left-over of the gauge symmetry can be used to removed the
doubled constant zero modes so that D physical target space coordinate remain.
This can be thought of as the worldsheet realization of the strong constraint
of double field theory. The extension of this description to the heterotic
theory is straightforward as all results are written in terms of the invariant
and the generalized metrics. An explicit method is outline how to obtain a
generalized metric which is invariant under T-duality orbifold actions. It is
explicitly shown how shift orbifolds lead to redefinitions of the Narain
moduli. Finally, a number of higher dimensional T-folds are constructed
including a novel asymmetric Z6 orbifold.
| [
{
"created": "Fri, 4 Dec 2020 18:56:12 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Apr 2021 14:03:00 GMT",
"version": "v2"
},
{
"created": "Fri, 7 May 2021 12:39:52 GMT",
"version": "v3"
},
{
"created": "Sat, 11 Sep 2021 11:34:03 GMT",
"version": "v4"
}
] | 2021-09-14 | [
[
"Nibbelink",
"Stefan Groot",
""
]
] | Asymmetric heterotic orbifolds are discussed from the worldsheet perspective. Starting from Buscher's gauging of a theory of D compact bosons the duality covariant description of Tseytlin is obtained after a non-Lorentz invariant gauge fixing. A left-over of the gauge symmetry can be used to removed the doubled constant zero modes so that D physical target space coordinate remain. This can be thought of as the worldsheet realization of the strong constraint of double field theory. The extension of this description to the heterotic theory is straightforward as all results are written in terms of the invariant and the generalized metrics. An explicit method is outline how to obtain a generalized metric which is invariant under T-duality orbifold actions. It is explicitly shown how shift orbifolds lead to redefinitions of the Narain moduli. Finally, a number of higher dimensional T-folds are constructed including a novel asymmetric Z6 orbifold. |
1211.1866 | Guy Gur Ari | Guy Gur-Ari and Ran Yacoby | Correlators of Large N Fermionic Chern-Simons Vector Models | 23 pages, 3 figures | null | 10.1007/JHEP02(2013)150 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory
coupled to a Dirac fermion in the fundamental representation. In this limit, we
compute several correlators to all orders in the `t Hooft coupling N/k. It was
suggested recently that this theory is dual to the Legendre-transformed theory
of scalar fields coupled to Chern-Simons gauge interactions. Our results show
that this duality holds for any value of the `t Hooft coupling, at least at the
level of the planar 3-point functions. In addition, we determine the sign in
the duality transformation of the Chern-Simons level, as well as the relation
between the "triple-trace" deformation which exists in the bosonic Chern-Simons
theory and in the Legendre-transformed fermionic theory.
| [
{
"created": "Thu, 8 Nov 2012 14:28:13 GMT",
"version": "v1"
}
] | 2015-06-12 | [
[
"Gur-Ari",
"Guy",
""
],
[
"Yacoby",
"Ran",
""
]
] | We consider the large N limit of three-dimensional U(N)_k Chern-Simons theory coupled to a Dirac fermion in the fundamental representation. In this limit, we compute several correlators to all orders in the `t Hooft coupling N/k. It was suggested recently that this theory is dual to the Legendre-transformed theory of scalar fields coupled to Chern-Simons gauge interactions. Our results show that this duality holds for any value of the `t Hooft coupling, at least at the level of the planar 3-point functions. In addition, we determine the sign in the duality transformation of the Chern-Simons level, as well as the relation between the "triple-trace" deformation which exists in the bosonic Chern-Simons theory and in the Legendre-transformed fermionic theory. |
1705.05082 | Adel Rezaei-Aghdam | A. Rezaei-Aghdam and M. Sephid | Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group
manifolds | 11 pages | Nucl. Phys. B926(2018)602-613 | 10.1016/j.nuclphysb.2017.12.003 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the concept of Jacobi-Lie group and Jacobi-Lie bialgebra, we generalize
the definition of Poisson-Lie symmetry to Jacobi-Lie symmetry. In this regard,
we generalize the concept of Poisson-Lie T-duality to Jacobi-Lie T-duality and
present Jacobi-Lie T-dual sigma models on Lie groups, which have Jacobi-Lie
symmetry. Using this symmetry, new cases of duality appear and some examples
are given. This generalization may provide insights to understand the quantum
features of Poisson-Lie T-duality, in a more satisfactory way.
| [
{
"created": "Mon, 15 May 2017 06:25:10 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2017 06:03:59 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Jan 2018 14:13:45 GMT",
"version": "v3"
}
] | 2018-04-25 | [
[
"Rezaei-Aghdam",
"A.",
""
],
[
"Sephid",
"M.",
""
]
] | Using the concept of Jacobi-Lie group and Jacobi-Lie bialgebra, we generalize the definition of Poisson-Lie symmetry to Jacobi-Lie symmetry. In this regard, we generalize the concept of Poisson-Lie T-duality to Jacobi-Lie T-duality and present Jacobi-Lie T-dual sigma models on Lie groups, which have Jacobi-Lie symmetry. Using this symmetry, new cases of duality appear and some examples are given. This generalization may provide insights to understand the quantum features of Poisson-Lie T-duality, in a more satisfactory way. |
hep-th/0010011 | Tigran Tchrakian | A. Chakrabarti and D.H. Tchrakian | Antisymmetrised 2p-forms generalising curvature 2-forms II: a
p-hierarchy of Reissner-Nordstrom type metrics in dimensions d>2p+1 | 7 pages, latex | null | null | null | hep-th gr-qc | null | The p-hierarchy of Schwarzschild type metrics obtained in a preceing paper is
generalised here to a corresponding Reissner-Nordstrom (RN) type hierarchy in
the presence of a point charge q in d-dimensions. Certain special features
arising, concerning the horizons and the interior region, are discussed.
| [
{
"created": "Tue, 3 Oct 2000 10:08:31 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chakrabarti",
"A.",
""
],
[
"Tchrakian",
"D. H.",
""
]
] | The p-hierarchy of Schwarzschild type metrics obtained in a preceing paper is generalised here to a corresponding Reissner-Nordstrom (RN) type hierarchy in the presence of a point charge q in d-dimensions. Certain special features arising, concerning the horizons and the interior region, are discussed. |
hep-th/0412059 | Dario Zappala | Paolo Castorina, Dario Zappala' | Symmetry breaking in non-commutative cut-off field theories | LaTex, 3 pages,Talk given at "Quark Confinement and the Hadron
Spectrum VI", 21-25 September 2004, Villasimius, Italy | null | 10.1063/1.1921025 | null | hep-th | null | The relation between symmetry breaking in non-commutative cut-off field
theories and transitions to inhomogeneous phases in condensed matter and in
finite density QCD is discussed. The non-commutative dynamics, with its
peculiar infrared-ultraviolet mixing, can be regarded as an effective
description of the mechanisms which lead to inhomogeneous phase transitions and
a roton-like excitation spectrum.
| [
{
"created": "Tue, 7 Dec 2004 09:15:53 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Castorina",
"Paolo",
""
],
[
"Zappala'",
"Dario",
""
]
] | The relation between symmetry breaking in non-commutative cut-off field theories and transitions to inhomogeneous phases in condensed matter and in finite density QCD is discussed. The non-commutative dynamics, with its peculiar infrared-ultraviolet mixing, can be regarded as an effective description of the mechanisms which lead to inhomogeneous phase transitions and a roton-like excitation spectrum. |
hep-th/9312043 | Melzer Ezer | Ezer Melzer | The Many Faces of a Character | 14/9 pages in harvmac, Tel-Aviv preprint TAUP 2125-93 | Lett.Math.Phys. 31 (1994) 233-246 | 10.1007/BF00761715 | null | hep-th | null | We prove an identity between three infinite families of polynomials which are
defined in terms of `bosonic', `fermionic', and `one-dimensional configuration'
sums. In the limit where the polynomials become infinite series, they give
different-looking expressions for the characters of the two integrable
representations of the affine $su(2)$ algebra at level one. We conjecture yet
another fermionic sum representation for the polynomials which is constructed
directly from the Bethe-Ansatz solution of the Heisenberg spin chain.
| [
{
"created": "Mon, 6 Dec 1993 14:48:31 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Melzer",
"Ezer",
""
]
] | We prove an identity between three infinite families of polynomials which are defined in terms of `bosonic', `fermionic', and `one-dimensional configuration' sums. In the limit where the polynomials become infinite series, they give different-looking expressions for the characters of the two integrable representations of the affine $su(2)$ algebra at level one. We conjecture yet another fermionic sum representation for the polynomials which is constructed directly from the Bethe-Ansatz solution of the Heisenberg spin chain. |
hep-th/9903070 | Soo-Young Lee | Soo-Young Lee, Hungsoo Kim, D.K.Park, Jae Kwan Kim | Negative modes and decay-rate transition | 13 pages, 9 figures | Phys.Rev. B60 (1999) 10086-10093 | 10.1103/PhysRevB.60.10086 | null | hep-th | null | We investigate a relationship between the number of the negative modes around
periodic instanton solution and the type of the decay-rate transition. It is
shown that for the case of first-order decay-rate transition the lowest
positive mode at low energy periodic instanton becomes additional negative mode
at high energy regime, while in the second-order case there is only one
negative mode in the full range of energy. This kind of analysis on the
negative modes makes it possible to derive the criterion for the first-order
transition.
| [
{
"created": "Tue, 9 Mar 1999 09:22:36 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lee",
"Soo-Young",
""
],
[
"Kim",
"Hungsoo",
""
],
[
"Park",
"D. K.",
""
],
[
"Kim",
"Jae Kwan",
""
]
] | We investigate a relationship between the number of the negative modes around periodic instanton solution and the type of the decay-rate transition. It is shown that for the case of first-order decay-rate transition the lowest positive mode at low energy periodic instanton becomes additional negative mode at high energy regime, while in the second-order case there is only one negative mode in the full range of energy. This kind of analysis on the negative modes makes it possible to derive the criterion for the first-order transition. |
hep-th/0303231 | Albrecht Wurtz | P. Bordalo and A. Wurtz | D-branes in lens spaces | 13 pages | Phys.Lett. B568 (2003) 270-280 | 10.1016/j.physletb.2003.06.001 | LPTHE-P03-05 | hep-th | null | We realize the CFT with target a lens space SU(2)/Z_l as a simple current
construction. This allows us to compute the boundary states and the annuli
coefficients, and in particular to study the B-type branes, in purely algebraic
terms. Several issues, like the appearance of fractional branes and symmetry
breaking boundary conditions, can be addressed more directly in this approach
than in a more geometric treatment.
| [
{
"created": "Wed, 26 Mar 2003 18:55:06 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Mar 2003 18:55:25 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Bordalo",
"P.",
""
],
[
"Wurtz",
"A.",
""
]
] | We realize the CFT with target a lens space SU(2)/Z_l as a simple current construction. This allows us to compute the boundary states and the annuli coefficients, and in particular to study the B-type branes, in purely algebraic terms. Several issues, like the appearance of fractional branes and symmetry breaking boundary conditions, can be addressed more directly in this approach than in a more geometric treatment. |
2405.04584 | Severin L\"ust | Severin L\"ust | An index for flux vacua | 43 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose to use the winding number of the gradient of a scalar potential as
a simple topological index that relates critical points in the interior of the
scalar field space to the behavior of the potential at the (asymptotic)
boundary of the field space. We demonstrate this technique for supersymmetric
flux compactifications of M-theory on Calabi-Yau four-folds, and use the Fermat
sextic as a simple, one-parameter example.
| [
{
"created": "Tue, 7 May 2024 18:00:22 GMT",
"version": "v1"
}
] | 2024-05-09 | [
[
"Lüst",
"Severin",
""
]
] | We propose to use the winding number of the gradient of a scalar potential as a simple topological index that relates critical points in the interior of the scalar field space to the behavior of the potential at the (asymptotic) boundary of the field space. We demonstrate this technique for supersymmetric flux compactifications of M-theory on Calabi-Yau four-folds, and use the Fermat sextic as a simple, one-parameter example. |
hep-th/9907200 | Michael Bershadsky | N. Berkovits, M. Bershadsky, T. Hauer, S. Zhukov and B. Zwiebach | Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold | 34 pages, 4 figures, harvmac big mode ; typos corrected, clarified
the choice of the real forms | Nucl.Phys. B567 (2000) 61-86 | 10.1016/S0550-3213(99)00683-5 | IFT-P-060/99, HUTP-99/A044, CTP-MIT-2878 | hep-th | null | We quantize the superstring on the AdS_2 x S^2 background with Ramond-Ramond
flux using a PSU(1,1|2)/U(1) x U(1) sigma model with a WZ term. One-loop
conformal invariance of the model is guaranteed by a general mechanism which
holds for coset spaces G/H where G is Ricci-flat and H is the invariant locus
of a Z_4 automorphism of G. This mechanism gives conformal theories for the
PSU(1,1|2) x PSU(2|2)/SU(2) x SU(2) and PSU(2,2|4)/SO(4,1) x SO(5) coset
spaces, suggesting our results might be useful for quantizing the superstring
on AdS_3 x S^3 and AdS_5 x S^5 backgrounds.
| [
{
"created": "Tue, 27 Jul 1999 18:00:39 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Aug 1999 19:57:48 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Berkovits",
"N.",
""
],
[
"Bershadsky",
"M.",
""
],
[
"Hauer",
"T.",
""
],
[
"Zhukov",
"S.",
""
],
[
"Zwiebach",
"B.",
""
]
] | We quantize the superstring on the AdS_2 x S^2 background with Ramond-Ramond flux using a PSU(1,1|2)/U(1) x U(1) sigma model with a WZ term. One-loop conformal invariance of the model is guaranteed by a general mechanism which holds for coset spaces G/H where G is Ricci-flat and H is the invariant locus of a Z_4 automorphism of G. This mechanism gives conformal theories for the PSU(1,1|2) x PSU(2|2)/SU(2) x SU(2) and PSU(2,2|4)/SO(4,1) x SO(5) coset spaces, suggesting our results might be useful for quantizing the superstring on AdS_3 x S^3 and AdS_5 x S^5 backgrounds. |
2102.01653 | Matteo Cardella Dr. | Matteo A. Cardella | A late times approximation for the SYK spectral form factor | v2: References added | null | null | null | hep-th cond-mat.dis-nn cond-mat.str-el quant-ph | http://creativecommons.org/licenses/by/4.0/ | We find a late times approximation for the SYK spectral form factor from a
large $N$ steepest descent version of the path integral over two replica
collective fields. Main ingredients are a suitable uv regularization of the two
replica kinetic operator, the property of its Fourier transform and some
spectral analysis of the four point function two replica ladder kernel.
| [
{
"created": "Tue, 2 Feb 2021 18:11:40 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Feb 2021 16:32:42 GMT",
"version": "v2"
}
] | 2021-02-24 | [
[
"Cardella",
"Matteo A.",
""
]
] | We find a late times approximation for the SYK spectral form factor from a large $N$ steepest descent version of the path integral over two replica collective fields. Main ingredients are a suitable uv regularization of the two replica kinetic operator, the property of its Fourier transform and some spectral analysis of the four point function two replica ladder kernel. |
hep-th/0110283 | Eric D'Hoker | Eric D'Hoker, D.H. Phong | Two-Loop Superstrings II, The Chiral Measure on Moduli Space | 64 pages, no figures | Nucl.Phys.B636:3-60,2002 | 10.1016/S0550-3213(02)00431-5 | UCLA/01/TEP/25 and Columbia/Math/01 | hep-th math.CV | null | A detailed derivation from first principles is given for the unambiguous and
slice-independent formula for the two-loop superstring chiral measure which was
announced in the first paper of this series. Supergeometries are projected onto
their super period matrices, and the integration over odd supermoduli is
performed by integrating over the fibers of this projection. The subtleties
associated with this procedure are identified. They require the inclusion of
some new finite-dimensional Jacobian superdeterminants, a deformation of the
worldsheet correlation functions using the stress tensor, and perhaps
paradoxically, another additional gauge choice, ``slice \hat\mu choice'', whose
independence also has to be established. This is done using an important
correspondence between superholomorphic notions with respect to a supergeometry
and holomorphic notions with respect to its super period matrix. Altogether,
the subtleties produce precisely the corrective terms which restore the
independence of the resulting gauge-fixed formula under infinitesimal changes
of gauge-slice. This independence is a key criterion for any gauge-fixed
formula and hence is verified in detail.
| [
{
"created": "Tue, 30 Oct 2001 20:17:46 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"D'Hoker",
"Eric",
""
],
[
"Phong",
"D. H.",
""
]
] | A detailed derivation from first principles is given for the unambiguous and slice-independent formula for the two-loop superstring chiral measure which was announced in the first paper of this series. Supergeometries are projected onto their super period matrices, and the integration over odd supermoduli is performed by integrating over the fibers of this projection. The subtleties associated with this procedure are identified. They require the inclusion of some new finite-dimensional Jacobian superdeterminants, a deformation of the worldsheet correlation functions using the stress tensor, and perhaps paradoxically, another additional gauge choice, ``slice \hat\mu choice'', whose independence also has to be established. This is done using an important correspondence between superholomorphic notions with respect to a supergeometry and holomorphic notions with respect to its super period matrix. Altogether, the subtleties produce precisely the corrective terms which restore the independence of the resulting gauge-fixed formula under infinitesimal changes of gauge-slice. This independence is a key criterion for any gauge-fixed formula and hence is verified in detail. |
2107.06897 | Alessia Benedetta Platania | Ivano Basile and Alessia Platania | Asymptotic Safety: Swampland or Wonderland? | 33 pages, 8 figures. Invited contribution to the special issue
"Asymptotic Safety in Quantum Gravity" in Universe. V2: figures added, typos
fixed. Matches published version | Universe 2021, 7(10), 389 | 10.3390/universe7100389 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the consequences of combining swampland conjectures with the
requirement of asymptotic safety. To this end, we explore the infrared regime
of asymptotically safe gravity in the quadratic one-loop approximation, and we
identify the hypersurface spanned by the endpoints of asymptotically safe
renormalization group trajectories. These comprise the allowed values of
higher-derivative couplings as well as standard logarithmic form factors. We
determine the intersection of this hypersurface with the regions of parameter
space allowed by the weak-gravity conjecture, the swampland de Sitter
conjecture, and the trans-Planckian censorship conjecture. The latter two
depend on some order-one constants, for generic values of which we show that
the overlap region is a proper subspace of the asymptotically safe
hypersurface. Moreover, the latter lies inside the region allowed by the weak
gravity conjecture assuming electromagnetic duality. Our results suggest a
non-trivial interplay between the consistency conditions stemming from
ultraviolet completeness of the RG flow, black hole physics, and cosmology.
| [
{
"created": "Wed, 14 Jul 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Oct 2021 12:23:06 GMT",
"version": "v2"
}
] | 2021-10-20 | [
[
"Basile",
"Ivano",
""
],
[
"Platania",
"Alessia",
""
]
] | We investigate the consequences of combining swampland conjectures with the requirement of asymptotic safety. To this end, we explore the infrared regime of asymptotically safe gravity in the quadratic one-loop approximation, and we identify the hypersurface spanned by the endpoints of asymptotically safe renormalization group trajectories. These comprise the allowed values of higher-derivative couplings as well as standard logarithmic form factors. We determine the intersection of this hypersurface with the regions of parameter space allowed by the weak-gravity conjecture, the swampland de Sitter conjecture, and the trans-Planckian censorship conjecture. The latter two depend on some order-one constants, for generic values of which we show that the overlap region is a proper subspace of the asymptotically safe hypersurface. Moreover, the latter lies inside the region allowed by the weak gravity conjecture assuming electromagnetic duality. Our results suggest a non-trivial interplay between the consistency conditions stemming from ultraviolet completeness of the RG flow, black hole physics, and cosmology. |
hep-th/9801086 | Norberto Granda | L.N.Granda | Topological chiral symmetry breaking in SUSY NJL in curved space-time | Latex file, three figures (not included), to be published in
Mod.Phys.Lett.A | Mod.Phys.Lett. A13 (1998) 145-152 | 10.1142/S0217732398000188 | null | hep-th | null | The effective potential in the model introduced by
Buchbinder-Inagaki-Odintsov (BIO) which represents SUSY NJL model non-minimally
coupled with the external gravitational field is found. The topology of the
space is considered to be non-trivial. Chiral symmetry breaking under the
action of external curvature and non-trivial topology is investigated.
| [
{
"created": "Tue, 13 Jan 1998 21:07:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Granda",
"L. N.",
""
]
] | The effective potential in the model introduced by Buchbinder-Inagaki-Odintsov (BIO) which represents SUSY NJL model non-minimally coupled with the external gravitational field is found. The topology of the space is considered to be non-trivial. Chiral symmetry breaking under the action of external curvature and non-trivial topology is investigated. |
2403.04463 | Mehdi Sadeghi | Mehdi Sadeghi and Faramaz Rahmani | Non-Abelian Exponential Yang-Mills AdS Black Brane and Transport
Coefficients | 17 pages, 6 figures, typo corrected, references added, improved
version, to appear in EPJP | null | 10.1140/epjp/s13360-024-05370-1 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, AdS black brane solution of Einstein-Hilbert gravity with
non-abelian exponential guage theory of Yang-Mills type is introduced. DC
conductivity and the ratio of shear viscosity to entropy density as two
important transport coefficients are calculated by using of Kubo formula in the
context of AdS/CFT duality. Our results recover the Yang-Mills model in $q\to
\infty$ limit.
| [
{
"created": "Thu, 7 Mar 2024 12:59:20 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2024 05:26:50 GMT",
"version": "v2"
}
] | 2024-07-09 | [
[
"Sadeghi",
"Mehdi",
""
],
[
"Rahmani",
"Faramaz",
""
]
] | In this paper, AdS black brane solution of Einstein-Hilbert gravity with non-abelian exponential guage theory of Yang-Mills type is introduced. DC conductivity and the ratio of shear viscosity to entropy density as two important transport coefficients are calculated by using of Kubo formula in the context of AdS/CFT duality. Our results recover the Yang-Mills model in $q\to \infty$ limit. |
hep-th/9803046 | Carlo A. Trugenberger | M. Cristina Diamantini and Carlo A. Trugenberger | Geometric Aspects of Confining Strings | 19 pages, 4 figures, harvmac | Nucl.Phys. B531 (1998) 151-167 | 10.1016/S0550-3213(98)00529-X | UGVA-DPT 1998/02-998 | hep-th hep-ph | null | Confining strings in 4D are effective, thick strings describing the
confinement phase of compact U(1) and, possibly, also non-Abelian gauge fields.
We show that these strings are dual to the gauge fields, inasmuch as their
perturbative regime corresponds to the strong coupling (large e) regime of the
gauge theory. In this regime they describe smooth surfaces with long-range
correlations and Hausdorff dimension two. For lower couplings e and monopole
fugacities z, a phase transition takes place, beyond which the smooth string
picture is lost. On the critical line intrinsic distances on the surface
diverge and correlators vanish, indicating that world-sheets become fractal.
| [
{
"created": "Thu, 5 Mar 1998 14:33:26 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jun 1998 15:34:44 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Jul 1998 18:16:00 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Diamantini",
"M. Cristina",
""
],
[
"Trugenberger",
"Carlo A.",
""
]
] | Confining strings in 4D are effective, thick strings describing the confinement phase of compact U(1) and, possibly, also non-Abelian gauge fields. We show that these strings are dual to the gauge fields, inasmuch as their perturbative regime corresponds to the strong coupling (large e) regime of the gauge theory. In this regime they describe smooth surfaces with long-range correlations and Hausdorff dimension two. For lower couplings e and monopole fugacities z, a phase transition takes place, beyond which the smooth string picture is lost. On the critical line intrinsic distances on the surface diverge and correlators vanish, indicating that world-sheets become fractal. |
hep-th/0405203 | Yasuhiro Sekino | Masako Asano and Yasuhiro Sekino | Large N limit of SYM theories with 16 supercharges from superstrings on
Dp-brane backgrounds | 31 pages, 1 figure; v2: discussion on the consistency with a known
result of supergravity analysis added | Nucl.Phys. B705 (2005) 33-59 | 10.1016/j.nuclphysb.2004.11.007 | KUNS-1919, KEK-TH-959 | hep-th | null | We investigate the holographic correspondence between (p+1)-dimensional
($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on
the near-horizon limit of Dp-brane backgrounds. Following an approach based on
the tunneling picture, we study Euclidean superstring semi-classically along
null geodesics which connect two points on the boundary of the spacetime. We
extend the analysis of hep-th/0308024 and study the fermionic sector of the
superstring. For $p\ne 3$, we do not have world-sheet supersymmetry, and the
energies of bosonic and fermionic fluctuations do not match. By interpreting
the superstring amplitudes as correlators of gauge theory operators with large
R-charge J, we obtain gauge theory two-point functions including those of
fermionic operators. Our approach yields results consistent with the previous
supergravity analysis for the D0-branes, including the subleading part in J.
Our prediction from holography is that the two-point functions for the
supergravity modes are power-law behaved, even for the non-conformal ($p\ne 3$)
SYM theories.
| [
{
"created": "Mon, 24 May 2004 09:00:46 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jun 2004 08:39:49 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Asano",
"Masako",
""
],
[
"Sekino",
"Yasuhiro",
""
]
] | We investigate the holographic correspondence between (p+1)-dimensional ($0\le p\le 4$) SYM theories with 16 supercharges and superstring theories on the near-horizon limit of Dp-brane backgrounds. Following an approach based on the tunneling picture, we study Euclidean superstring semi-classically along null geodesics which connect two points on the boundary of the spacetime. We extend the analysis of hep-th/0308024 and study the fermionic sector of the superstring. For $p\ne 3$, we do not have world-sheet supersymmetry, and the energies of bosonic and fermionic fluctuations do not match. By interpreting the superstring amplitudes as correlators of gauge theory operators with large R-charge J, we obtain gauge theory two-point functions including those of fermionic operators. Our approach yields results consistent with the previous supergravity analysis for the D0-branes, including the subleading part in J. Our prediction from holography is that the two-point functions for the supergravity modes are power-law behaved, even for the non-conformal ($p\ne 3$) SYM theories. |
0804.3183 | Christos Ragiadakos | C. N. Ragiadakos | A Modified Y-M Action with Three Families of Fermionic Solitons and
Perturbative Confinement | null | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of a four dimensional generally covariant modified SU(N)
Yang-Mills action, which depends on the complex structure of spacetime and not
its metric, is studied. A general solution of the complex structure
integrability conditions is found in the context of the G{2,2) Grassmannian
manifold, which admits a global SL(4,C) symmetry group. A convenient definition
of the physical energy and momentum permits the study of the vacuum and soliton
sectors. The model has a set of conformally SU(2,2) invariant vacua and a set
of Poincare invariant vacua. An algebraic integrability condition of the
complex structure classifies the solitonic surfaces into three classes
(families). The first class (spacetimes with two principal null directions)
contains the Kerr-Newman complex structure, which has fermionic (electron-like)
properties. That is the correct fermionic gyromagnetic ratio (g=2) and it
satisfies the correct electron equations of motion. The conjugate complex
structure determines the antisoliton, which has the same mass and opposite
charge. The fermionic solitons are differentiated from the complex structure
bosonic modes by the periodicity condition on compactified spacetime. The
non-periodicity of the found solitonic complex structures is proved. The
modification of the Yang-Mills action has an essential consequence to the
classical potential. It generates a linear static potential instead of the
Coulomb-like (1/r) potential of the ordinary Yang-Mills action. This linear
potential implies that for every pure geometric soliton there are N solitonic
gauge field excitations, which are perturbatively confined. The present model
advocates a solitonic unification scheme without supersymmetry and/or
superstrings.
| [
{
"created": "Sun, 20 Apr 2008 09:53:54 GMT",
"version": "v1"
}
] | 2008-05-05 | [
[
"Ragiadakos",
"C. N.",
""
]
] | The dynamics of a four dimensional generally covariant modified SU(N) Yang-Mills action, which depends on the complex structure of spacetime and not its metric, is studied. A general solution of the complex structure integrability conditions is found in the context of the G{2,2) Grassmannian manifold, which admits a global SL(4,C) symmetry group. A convenient definition of the physical energy and momentum permits the study of the vacuum and soliton sectors. The model has a set of conformally SU(2,2) invariant vacua and a set of Poincare invariant vacua. An algebraic integrability condition of the complex structure classifies the solitonic surfaces into three classes (families). The first class (spacetimes with two principal null directions) contains the Kerr-Newman complex structure, which has fermionic (electron-like) properties. That is the correct fermionic gyromagnetic ratio (g=2) and it satisfies the correct electron equations of motion. The conjugate complex structure determines the antisoliton, which has the same mass and opposite charge. The fermionic solitons are differentiated from the complex structure bosonic modes by the periodicity condition on compactified spacetime. The non-periodicity of the found solitonic complex structures is proved. The modification of the Yang-Mills action has an essential consequence to the classical potential. It generates a linear static potential instead of the Coulomb-like (1/r) potential of the ordinary Yang-Mills action. This linear potential implies that for every pure geometric soliton there are N solitonic gauge field excitations, which are perturbatively confined. The present model advocates a solitonic unification scheme without supersymmetry and/or superstrings. |
hep-th/0305019 | Yoshifumi Hyakutake | Yoshifumi Hyakutake (Osaka Univ.) | Fuzzy BIon | 11 pages, 1 figure, reference and note added | Phys.Rev. D68 (2003) 046003 | 10.1103/PhysRevD.68.046003 | null | hep-th | null | We construct a solution of the BFSS matrix theory, which is a counterpart of
the BIon solution representing a fundamental string ending on a bound state of
a D2-brane and D0-branes. We call this solution the `fuzzy BIon' and show that
this configuration preserves 1/4 supersymmetry of type IIA superstring theory.
We also construct an effective action for the fuzzy BIon by analyzing the
nonabelian Born-Infeld action for D0-branes. When we take the continuous limit,
with some conditions, this action coincides with the effective action for the
BIon configuration.
| [
{
"created": "Fri, 2 May 2003 07:33:21 GMT",
"version": "v1"
},
{
"created": "Wed, 7 May 2003 05:54:08 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Hyakutake",
"Yoshifumi",
"",
"Osaka Univ."
]
] | We construct a solution of the BFSS matrix theory, which is a counterpart of the BIon solution representing a fundamental string ending on a bound state of a D2-brane and D0-branes. We call this solution the `fuzzy BIon' and show that this configuration preserves 1/4 supersymmetry of type IIA superstring theory. We also construct an effective action for the fuzzy BIon by analyzing the nonabelian Born-Infeld action for D0-branes. When we take the continuous limit, with some conditions, this action coincides with the effective action for the BIon configuration. |
hep-th/0507291 | Stefano Forte | Stefano Forte | Spin in quantum field theory | 31 pages, 6 figures, latex with Springer svmult document class; typos
corrected, refs 10-11 added | Lect.NotesPhys.712:67-94,2007 | 10.1007/3-540-38592-4_3 | IFUM-844/FT | hep-th cond-mat.str-el hep-ph | null | I introduce spin in field theory by emphasizing the close connection between
quantum field theory and quantum mechanics. First, I show that the
spin-statistics connection can be derived in quantum mechanics without
relativity or field theory. Then, I discuss path integrals for spin without
using spinors. Finally, I show how spin can be quantized in a path-integral
approach, without introducing anticommuting variables.
| [
{
"created": "Fri, 29 Jul 2005 09:40:36 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Aug 2006 13:10:21 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Forte",
"Stefano",
""
]
] | I introduce spin in field theory by emphasizing the close connection between quantum field theory and quantum mechanics. First, I show that the spin-statistics connection can be derived in quantum mechanics without relativity or field theory. Then, I discuss path integrals for spin without using spinors. Finally, I show how spin can be quantized in a path-integral approach, without introducing anticommuting variables. |
1703.01227 | Francois Gelis | Francois Gelis | Tree-level correlations in the strong field regime | 37 pages | null | 10.1007/JHEP09(2017)055 | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the correlation function of an arbitrary number of local
observables in quantum field theory. We show that, at tree level in the strong
field regime, these correlations arise solely from fluctuations in the initial
state. We obtain the general expression of these correlation functions in terms
of the classical solution of the field equation of motion and its derivatives
with respect to its initial conditions, that can be arranged graphically as the
sum of labeled trees where the nodes are the individual observables, and the
links are pairs of derivatives acting on them. For 3-point (and higher)
correlation functions, there are additional tree-level terms beyond from the
strong field approximation, generated throughout the evolution of the system.
| [
{
"created": "Fri, 3 Mar 2017 16:15:27 GMT",
"version": "v1"
}
] | 2017-10-25 | [
[
"Gelis",
"Francois",
""
]
] | We consider the correlation function of an arbitrary number of local observables in quantum field theory. We show that, at tree level in the strong field regime, these correlations arise solely from fluctuations in the initial state. We obtain the general expression of these correlation functions in terms of the classical solution of the field equation of motion and its derivatives with respect to its initial conditions, that can be arranged graphically as the sum of labeled trees where the nodes are the individual observables, and the links are pairs of derivatives acting on them. For 3-point (and higher) correlation functions, there are additional tree-level terms beyond from the strong field approximation, generated throughout the evolution of the system. |
2004.11899 | Shota Imaki | Shota Imaki and Zebin Qiu | Chiral torsional effect with finite temperature, density and curvature | 8 pages, 1 figure | Phys. Rev. D 102, 016001 (2020) | 10.1103/PhysRevD.102.016001 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We scrutinize the novel chiral transport phenomenon driven by spacetime
torsion, namely the chiral torsional effect (CTE). We calculate the
torsion-induced chiral currents with finite temperature, density and curvature
in the most general torsional gravity theory. The conclusion complements the
previous study on the CTE by including curvature and substantiates the relation
between the CTE and the Nieh-Yan anomaly. We also analyze the response of
chiral torsional current to an external electromagnetic field. The resulting
topological current is analogous to that in the axion electrodynamics.
| [
{
"created": "Fri, 24 Apr 2020 03:12:04 GMT",
"version": "v1"
}
] | 2020-07-15 | [
[
"Imaki",
"Shota",
""
],
[
"Qiu",
"Zebin",
""
]
] | We scrutinize the novel chiral transport phenomenon driven by spacetime torsion, namely the chiral torsional effect (CTE). We calculate the torsion-induced chiral currents with finite temperature, density and curvature in the most general torsional gravity theory. The conclusion complements the previous study on the CTE by including curvature and substantiates the relation between the CTE and the Nieh-Yan anomaly. We also analyze the response of chiral torsional current to an external electromagnetic field. The resulting topological current is analogous to that in the axion electrodynamics. |
1611.00026 | Carles Batlle | Carles Batlle, Joaquim Gomis, Daniel Not | Extended Galilean symmetries of non-relativistic strings | Added some comments and additional references | null | 10.1007/JHEP02(2017)049 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider two non-relativistic strings and their Galilean symmetries. These
strings are obtained as the two possible non-relativistic (NR) limits of a
relativistic string. One of them is non-vibrating and represents a continuum of
non-relativistic massless particles, and the other one is a non-relativistic
vibrating string.
For both cases we write the generator of the most general point
transformation and impose the condition of Noether symmetry. As a result we
obtain two sets of non-relativistic Killing equations for the vector fields
that generate the symmetry transformations. Solving these equations shows that
NR strings exhibit two extended, infinite dimensional space-time symmetries
which contain, as a subset, the Galilean symmetries. For each case, we compute
the associated conserved charges and discuss the existence of non-central
extensions.
| [
{
"created": "Mon, 31 Oct 2016 20:14:15 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Jan 2017 22:21:09 GMT",
"version": "v2"
}
] | 2017-03-08 | [
[
"Batlle",
"Carles",
""
],
[
"Gomis",
"Joaquim",
""
],
[
"Not",
"Daniel",
""
]
] | We consider two non-relativistic strings and their Galilean symmetries. These strings are obtained as the two possible non-relativistic (NR) limits of a relativistic string. One of them is non-vibrating and represents a continuum of non-relativistic massless particles, and the other one is a non-relativistic vibrating string. For both cases we write the generator of the most general point transformation and impose the condition of Noether symmetry. As a result we obtain two sets of non-relativistic Killing equations for the vector fields that generate the symmetry transformations. Solving these equations shows that NR strings exhibit two extended, infinite dimensional space-time symmetries which contain, as a subset, the Galilean symmetries. For each case, we compute the associated conserved charges and discuss the existence of non-central extensions. |
1005.3613 | Fuminobu Takahashi | Michael Dine, Fuminobu Takahashi, Tsutomu T. Yanagida | Discrete R Symmetries and Domain Walls | 13 pages | JHEP 1007:003,2010 | 10.1007/JHEP07(2010)003 | SCIPP-10/06, IPMU10-0073 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Discrete R symmetries are interesting from a variety of points of view. They
raise the specter, however, of domain walls, which may be cosmologically
problematic. In this note, we describe some of the issues. In many schemes for
supersymmetry breaking, as we explain, satisfying familiar constraints such as
suppression of gravitino production, insures that the domain walls are readily
inflated away. However, in others, they form after inflation. In these cases,
it is necessary that they annihilate. We discuss possible breaking mechanisms
for the discrete symmetries, and the constraints they must satisfy so that the
walls annihilate effectively.
| [
{
"created": "Thu, 20 May 2010 07:15:19 GMT",
"version": "v1"
}
] | 2010-07-13 | [
[
"Dine",
"Michael",
""
],
[
"Takahashi",
"Fuminobu",
""
],
[
"Yanagida",
"Tsutomu T.",
""
]
] | Discrete R symmetries are interesting from a variety of points of view. They raise the specter, however, of domain walls, which may be cosmologically problematic. In this note, we describe some of the issues. In many schemes for supersymmetry breaking, as we explain, satisfying familiar constraints such as suppression of gravitino production, insures that the domain walls are readily inflated away. However, in others, they form after inflation. In these cases, it is necessary that they annihilate. We discuss possible breaking mechanisms for the discrete symmetries, and the constraints they must satisfy so that the walls annihilate effectively. |
2303.09974 | Anna Biggs | Anna Biggs and Juan Maldacena | Scaling similarities and quasinormal modes of D0 black hole solutions | 20 + 6 pages. 1 figure | JHEP 11 (2023) 155 | 10.1007/JHEP11(2023)155 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study the gravity solution dual to the D0 brane quantum mechanics, or BFSS
matrix model, in the 't Hooft limit.
The classical physics described by this gravity solution is invariant under a
scaling transformation, which changes the action with a specific critical
exponent, sometimes called the hyperscaling violating exponent. We present an
argument for this critical exponent from the matrix model side, which leads to
an explanation for the peculiar temperature dependence of the entropy in this
theory, $S \propto T^{9/5}$. We also present a similar argument for all other
$Dp$-brane geometries.
We then compute the black hole quasinormal modes. This involves perturbing
the finite temperature geometry. These perturbations can be easily obtained by
a mathematical trick where we view the solution as the dimensional reduction of
an $AdS_{ 2 + 9/5 } \times S^8$ geometry.
| [
{
"created": "Fri, 17 Mar 2023 13:47:42 GMT",
"version": "v1"
},
{
"created": "Fri, 5 May 2023 13:54:27 GMT",
"version": "v2"
},
{
"created": "Fri, 31 May 2024 21:28:10 GMT",
"version": "v3"
}
] | 2024-06-04 | [
[
"Biggs",
"Anna",
""
],
[
"Maldacena",
"Juan",
""
]
] | We study the gravity solution dual to the D0 brane quantum mechanics, or BFSS matrix model, in the 't Hooft limit. The classical physics described by this gravity solution is invariant under a scaling transformation, which changes the action with a specific critical exponent, sometimes called the hyperscaling violating exponent. We present an argument for this critical exponent from the matrix model side, which leads to an explanation for the peculiar temperature dependence of the entropy in this theory, $S \propto T^{9/5}$. We also present a similar argument for all other $Dp$-brane geometries. We then compute the black hole quasinormal modes. This involves perturbing the finite temperature geometry. These perturbations can be easily obtained by a mathematical trick where we view the solution as the dimensional reduction of an $AdS_{ 2 + 9/5 } \times S^8$ geometry. |
0707.4454 | Shingo Takeuchi | Konstantinos N. Anagnostopoulos (Natl. Tech. U., Athens), Masanori
Hanada (RIKEN), Jun Nishimura (KEK, SOKENDAI), Shingo Takeuchi (SOKENDAI) | Monte Carlo studies of supersymmetric matrix quantum mechanics with
sixteen supercharges at finite temperature | REVTeX4, 4 pages, 3 figures | Phys.Rev.Lett.100:021601,2008 | 10.1103/PhysRevLett.100.021601 | RIKEN-TH-112 KEK-TH-1165 | hep-th hep-lat | null | We present the first Monte Carlo results for supersymmetric matrix quantum
mechanics with sixteen supercharges at finite temperature. The recently
proposed non-lattice simulation enables us to include the effects of fermionic
matrices in a transparent and reliable manner. The internal energy nicely
interpolates the weak coupling behavior obtained by the high temperature
expansion, and the strong coupling behavior predicted from the dual black hole
geometry. The Polyakov line takes large values even at low temperature
suggesting the absence of a phase transition in sharp contrast to the bosonic
case. These results provide highly non-trivial evidences for the gauge/gravity
duality.
| [
{
"created": "Mon, 30 Jul 2007 18:41:36 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Anagnostopoulos",
"Konstantinos N.",
"",
"Natl. Tech. U., Athens"
],
[
"Hanada",
"Masanori",
"",
"RIKEN"
],
[
"Nishimura",
"Jun",
"",
"KEK, SOKENDAI"
],
[
"Takeuchi",
"Shingo",
"",
"SOKENDAI"
]
] | We present the first Monte Carlo results for supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature. The recently proposed non-lattice simulation enables us to include the effects of fermionic matrices in a transparent and reliable manner. The internal energy nicely interpolates the weak coupling behavior obtained by the high temperature expansion, and the strong coupling behavior predicted from the dual black hole geometry. The Polyakov line takes large values even at low temperature suggesting the absence of a phase transition in sharp contrast to the bosonic case. These results provide highly non-trivial evidences for the gauge/gravity duality. |
0902.1161 | Rachid Ahl Laamara | Rachid Ahl Laamara, Adil Belhaj, Luis J. Boya, Antonio Segui | On Local F-theory Geometries and Intersecting D7-branes | 16 pages, 1 figure, Reference added, published in IJGMMP (2009) | Int.J.Geom.Meth.Mod.Phys.6:1207-1220,2009 | 10.1142/S0219887809004181 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss local F-theory geometries and theirs gauge theory dualities in
terms of intersecting D7-branes wrapped four-cycles in Type IIB superstring.
The manifolds are built as elliptic K3 surface fibrations over intersecting
F_0=CP^1 \times CP^1 base geometry according to ADE Dynkin Diagrams. The base
is obtained by blowing up the extended ADE hyper-Kahler singularities of eight
dimensional manifolds considered as sigma model target spaces with eight
supercharges. The resulting gauge theory of such local F-theory models are
given in terms of Type IIB D7-branes wrapped intersecting F_0. The four
dimensional N=1 anomaly cancelation requirement translates into a condition on
the associated affine Lie algebras.
| [
{
"created": "Fri, 6 Feb 2009 19:21:34 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Feb 2009 10:48:04 GMT",
"version": "v2"
},
{
"created": "Thu, 25 Jun 2009 11:25:21 GMT",
"version": "v3"
},
{
"created": "Fri, 13 Nov 2009 12:26:48 GMT",
"version": "v4"
}
] | 2010-01-11 | [
[
"Laamara",
"Rachid Ahl",
""
],
[
"Belhaj",
"Adil",
""
],
[
"Boya",
"Luis J.",
""
],
[
"Segui",
"Antonio",
""
]
] | We discuss local F-theory geometries and theirs gauge theory dualities in terms of intersecting D7-branes wrapped four-cycles in Type IIB superstring. The manifolds are built as elliptic K3 surface fibrations over intersecting F_0=CP^1 \times CP^1 base geometry according to ADE Dynkin Diagrams. The base is obtained by blowing up the extended ADE hyper-Kahler singularities of eight dimensional manifolds considered as sigma model target spaces with eight supercharges. The resulting gauge theory of such local F-theory models are given in terms of Type IIB D7-branes wrapped intersecting F_0. The four dimensional N=1 anomaly cancelation requirement translates into a condition on the associated affine Lie algebras. |
2101.10054 | Carlos A. S. Almeida | A.R.P. Moreira, J.E.G. Silva, F.C.E. Lima, and C.A.S. Almeida | Thick brane in f(T,B) gravity | 26 pages, 30 figures. Updated to match the published version to
appear in Physical Review D. Some modifications in the text in order to
clarify arguments but the results are unchanged | Phys. Rev. D 103, 064046 (2021) | 10.1103/PhysRevD.103.064046 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we explore the five-dimensional f(T,B) teleparallel modified
gravity with f_1(T,B)=T+k_1B^{n_1} and f_2(T,B)=B+k_2T^{n_2} in the brane
scenario. Asymptotically, the bulk geometry converges to an AdS_5 spacetime
whose cosmological constant is produced by parameters that control torsion and
boundary term. The analysis of the energy density condition reveals a splitting
brane process satisfying the weak and strong energy conditions for some values
of the parameters n_{1,2} and k_{1,2}. In addition, we investigate the behavior
of the gravitational perturbations in this scenario. In the bulk, the torsion
keeps a gapless non-localizable, and stable tower of massive modes. Inside the
brane core, the torsion produces new barriers and potential wells, leading to
small amplitude massive modes and a massless mode localized for some values of
the parameters n_{1,2} and k_{1,2}.
| [
{
"created": "Mon, 25 Jan 2021 13:15:57 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Mar 2021 22:39:53 GMT",
"version": "v2"
}
] | 2021-03-31 | [
[
"Moreira",
"A. R. P.",
""
],
[
"Silva",
"J. E. G.",
""
],
[
"Lima",
"F. C. E.",
""
],
[
"Almeida",
"C. A. S.",
""
]
] | In this paper, we explore the five-dimensional f(T,B) teleparallel modified gravity with f_1(T,B)=T+k_1B^{n_1} and f_2(T,B)=B+k_2T^{n_2} in the brane scenario. Asymptotically, the bulk geometry converges to an AdS_5 spacetime whose cosmological constant is produced by parameters that control torsion and boundary term. The analysis of the energy density condition reveals a splitting brane process satisfying the weak and strong energy conditions for some values of the parameters n_{1,2} and k_{1,2}. In addition, we investigate the behavior of the gravitational perturbations in this scenario. In the bulk, the torsion keeps a gapless non-localizable, and stable tower of massive modes. Inside the brane core, the torsion produces new barriers and potential wells, leading to small amplitude massive modes and a massless mode localized for some values of the parameters n_{1,2} and k_{1,2}. |
1809.10379 | Si-wen Li | Si-wen Li | The interaction of glueball and heavy-light flavoured meson in
holographic QCD | 33 pages, 2 figures, 2 tables | null | 10.1140/epjc/s10052-020-08458-x | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the D4/D8 brane configuration in the Witten-Sakai-Sugimoto model
by introducing a pair of heavy flavour brane with a heavy-light open string.
The multiplets created by the heavy-light string acquire mass due to the finite
separation of the heavy and light flavour branes thus they could be identified
as the heavy-light meson fields in this model. On the other hand the glueball
field is identified as the gravitational fluctuations carried by the close
string in the bulk, so this model is able to describe the interaction of
glueball and heavy-light meson through the open-close string interaction in
gauge-gravity duality. We explicitly derive the effective action for the
various glueballs and heavy-light mesons then numerically evaluate the
associated coupling constants. Afterwards the decay widths of various glueballs
to the lowest heavy-light meson, which is identified as $D^{0}$ meson, are
calculated by using our effective action. This work extends the previous
investigations of glueball in holographic QCD and it is also a further
prediction of glueball-meson interaction.
| [
{
"created": "Thu, 27 Sep 2018 07:28:33 GMT",
"version": "v1"
}
] | 2022-10-03 | [
[
"Li",
"Si-wen",
""
]
] | We construct the D4/D8 brane configuration in the Witten-Sakai-Sugimoto model by introducing a pair of heavy flavour brane with a heavy-light open string. The multiplets created by the heavy-light string acquire mass due to the finite separation of the heavy and light flavour branes thus they could be identified as the heavy-light meson fields in this model. On the other hand the glueball field is identified as the gravitational fluctuations carried by the close string in the bulk, so this model is able to describe the interaction of glueball and heavy-light meson through the open-close string interaction in gauge-gravity duality. We explicitly derive the effective action for the various glueballs and heavy-light mesons then numerically evaluate the associated coupling constants. Afterwards the decay widths of various glueballs to the lowest heavy-light meson, which is identified as $D^{0}$ meson, are calculated by using our effective action. This work extends the previous investigations of glueball in holographic QCD and it is also a further prediction of glueball-meson interaction. |
1408.4051 | Carl Bender | Carl M. Bender, Maarten DeKieviet, and K. A. Milton | Synthetic versus Dirac monopoles | 2 pages | null | null | null | hep-th cond-mat.quant-gas hep-ex | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In some recent experiments the distinction between synthetic magnetic
monopoles and Dirac monopoles has been blurred. A case in point is the work in
a letter by Ray {\it et al.} [arXiv:1408.3133] in which a beautiful experiment
is reported but claims with regard to Dirac monopoles are misleading.
| [
{
"created": "Mon, 18 Aug 2014 16:04:28 GMT",
"version": "v1"
}
] | 2014-08-19 | [
[
"Bender",
"Carl M.",
""
],
[
"DeKieviet",
"Maarten",
""
],
[
"Milton",
"K. A.",
""
]
] | In some recent experiments the distinction between synthetic magnetic monopoles and Dirac monopoles has been blurred. A case in point is the work in a letter by Ray {\it et al.} [arXiv:1408.3133] in which a beautiful experiment is reported but claims with regard to Dirac monopoles are misleading. |
2308.03389 | Amaresh Jaiswal | Amaresh Jaiswal | Quasiparticle Cosmology | 5 pages, 1 figure, published version | Phys. Rev. D 109, L081301 (2024) | 10.1103/PhysRevD.109.L081301 | null | hep-th gr-qc nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider thermodynamics of the Universe within a quasiparticle approach
where the collective dynamics of a system is governed by the thermal mass of
the constituents. The spacetime dependence of this thermal mass leads to a
negative contribution to the pressure and a positive contribution to the energy
density, similar to the effect due to dark energy. We propose a mechanism based
on thermodynamic arguments to quantify this contribution from the thermal
vacuum of the system. For a sufficiently large spacetime variation of the
thermal mass, the effective pressure can become negative and could mimic a dark
energy equation of state. We validate our framework using results from
renormalizable interacting scalar field theory and demonstrate an application
on QCD axion.
| [
{
"created": "Mon, 7 Aug 2023 08:18:18 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Apr 2024 14:31:18 GMT",
"version": "v2"
}
] | 2024-04-30 | [
[
"Jaiswal",
"Amaresh",
""
]
] | We consider thermodynamics of the Universe within a quasiparticle approach where the collective dynamics of a system is governed by the thermal mass of the constituents. The spacetime dependence of this thermal mass leads to a negative contribution to the pressure and a positive contribution to the energy density, similar to the effect due to dark energy. We propose a mechanism based on thermodynamic arguments to quantify this contribution from the thermal vacuum of the system. For a sufficiently large spacetime variation of the thermal mass, the effective pressure can become negative and could mimic a dark energy equation of state. We validate our framework using results from renormalizable interacting scalar field theory and demonstrate an application on QCD axion. |
0806.3520 | Corneliu \c{S}ochichiu | Corneliu Sochichiu | On Nambu-Lie 3-algebra representations | 10 pages, no figures, bibliography updated, some typo(s) corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a recipe to construct matrix representations of Nambu--Lie
3-algebras in terms of irreducible representations of underlying Lie algebra.
The case of Euclidean four-dimensional 3-algebra is considered in details. We
find that representations of this 3-algebra are not possible in terms of only
Hermitian matrices in spite of its Euclidean nature.
| [
{
"created": "Mon, 23 Jun 2008 06:03:24 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2008 02:12:15 GMT",
"version": "v2"
}
] | 2008-07-03 | [
[
"Sochichiu",
"Corneliu",
""
]
] | We propose a recipe to construct matrix representations of Nambu--Lie 3-algebras in terms of irreducible representations of underlying Lie algebra. The case of Euclidean four-dimensional 3-algebra is considered in details. We find that representations of this 3-algebra are not possible in terms of only Hermitian matrices in spite of its Euclidean nature. |
hep-th/9504011 | Vassilevich | Dmitri V.Vassilevich | On Gauge-Invariant Boundary Conditions for 2d Gravity with Dynamical
torsion | 7 pages, LATeX,no figures | Mod.Phys.Lett. A10 (1995) 2239-2244 | 10.1142/S0217732395002398 | TUW 95-06 | hep-th | null | In the example of $R^2+T^2$ gravity on the unit two dimensional disk we
demonstrate that in the presence of an independent spin connection it is
possible to define local gauge invariant boundary conditions even on boundaries
which are not totally geodesic. One-loop partition function and the
corresponding heat kernel are calculated.
| [
{
"created": "Tue, 4 Apr 1995 14:56:50 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Vassilevich",
"Dmitri V.",
""
]
] | In the example of $R^2+T^2$ gravity on the unit two dimensional disk we demonstrate that in the presence of an independent spin connection it is possible to define local gauge invariant boundary conditions even on boundaries which are not totally geodesic. One-loop partition function and the corresponding heat kernel are calculated. |
hep-th/9603123 | Mees de Roo | E. Bergshoeff, M. de Roo | D-branes and T-duality | 14 pages, Latex | Phys.Lett. B380 (1996) 265-272 | 10.1016/0370-2693(96)00523-0 | UG-1/96 | hep-th | null | We show how the $T$--duality between $D$--branes is realized (i) on
$p$--brane solutions $(p=0,\cdots ,9)$ of IIA/IIB supergravity and (ii) on the
$D$--brane actions ($p=0,\cdots ,3)$ that act as source terms for the
$p$--brane solutions. We point out that the presence of a cosmological constant
in the IIA theory leads, by the requirement of gauge invariance, to a
topological mass term for the worldvolume gauge field in the 2--brane case.
| [
{
"created": "Mon, 18 Mar 1996 13:42:21 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bergshoeff",
"E.",
""
],
[
"de Roo",
"M.",
""
]
] | We show how the $T$--duality between $D$--branes is realized (i) on $p$--brane solutions $(p=0,\cdots ,9)$ of IIA/IIB supergravity and (ii) on the $D$--brane actions ($p=0,\cdots ,3)$ that act as source terms for the $p$--brane solutions. We point out that the presence of a cosmological constant in the IIA theory leads, by the requirement of gauge invariance, to a topological mass term for the worldvolume gauge field in the 2--brane case. |
1006.4997 | Parinya Karndumri | Edi Gava, Parinya Karndumri and K. S. Narain | 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity | 24 pages, no figures, references added and typos corrected | JHEP 09 (2010) 028 | 10.1007/JHEP09(2010)028 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions
from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity
coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in
the adjoint of $G$. The reduced theory is consistently truncated to $N=4$ 3D
supergravity coupled to $4(1+\textrm{dim}\, G)$ bosonic and $4(1+\textrm{dim}\,
G)$ fermionic propagating degrees of freedom. This is in contrast to the
reduction in which there are also massive vector fields. The scalar manifold is
$\mathbf{R}\times \frac{SO(3,\, \textrm{dim}\, G)}{SO(3)\times
SO(\textrm{dim}\, G)}$, and there is a $SU(2)\times G$ gauge group. We then
construct $N=4$ Chern-Simons $(SO(3)\ltimes \mathbf{R}^3)\times (G\ltimes
\mathbf{R}^{\textrm{dim}G})$ three dimensional gauged supergravity with scalar
manifold $\frac{SO(4,\,1+\textrm{dim}G)}{SO(4)\times SO(1+\textrm{dim}G)}$ and
explicitly show that this theory is on-shell equivalent to the Yang-Mills
$SO(3)\times G$ gauged supergravity theory obtained from the $SU(2)$ reduction,
after integrating out the scalars and gauge fields corresponding to the
translational symmetries $\mathbf{R}^3\times \mathbf{R}^{\textrm{dim}\, G}$.
| [
{
"created": "Fri, 25 Jun 2010 13:55:11 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Sep 2010 10:04:09 GMT",
"version": "v2"
}
] | 2012-07-30 | [
[
"Gava",
"Edi",
""
],
[
"Karndumri",
"Parinya",
""
],
[
"Narain",
"K. S.",
""
]
] | We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in the adjoint of $G$. The reduced theory is consistently truncated to $N=4$ 3D supergravity coupled to $4(1+\textrm{dim}\, G)$ bosonic and $4(1+\textrm{dim}\, G)$ fermionic propagating degrees of freedom. This is in contrast to the reduction in which there are also massive vector fields. The scalar manifold is $\mathbf{R}\times \frac{SO(3,\, \textrm{dim}\, G)}{SO(3)\times SO(\textrm{dim}\, G)}$, and there is a $SU(2)\times G$ gauge group. We then construct $N=4$ Chern-Simons $(SO(3)\ltimes \mathbf{R}^3)\times (G\ltimes \mathbf{R}^{\textrm{dim}G})$ three dimensional gauged supergravity with scalar manifold $\frac{SO(4,\,1+\textrm{dim}G)}{SO(4)\times SO(1+\textrm{dim}G)}$ and explicitly show that this theory is on-shell equivalent to the Yang-Mills $SO(3)\times G$ gauged supergravity theory obtained from the $SU(2)$ reduction, after integrating out the scalars and gauge fields corresponding to the translational symmetries $\mathbf{R}^3\times \mathbf{R}^{\textrm{dim}\, G}$. |
hep-th/9211094 | Laszlo Feher | L. Feher | Generalized Drinfeld-Sokolov Hierarchies and W-Algebras | 12 pages, (To appear in proc. of the NSERC-CAP Workshop on Quantum
Groups, Integrable Models and Statistical Systems, Kingston, Canada, July
13-17 1992.) | null | null | null | hep-th | null | We review the construction of Drinfeld-Sokolov type hierarchies and classical
W-algebras in a Hamiltonian symmetry reduction framework. We describe the list
of graded regular elements in the Heisenberg subalgebras of the nontwisted loop
algebra based on $gl_n$ and deal with the associated hierarchies. We exhibit an
$sl_2$ embedding for each reduction of a Kac-Moody Poisson bracket algebra to a
W-algebra of gauge invariant differential polynomials.
| [
{
"created": "Sun, 22 Nov 1992 11:36:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Feher",
"L.",
""
]
] | We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular elements in the Heisenberg subalgebras of the nontwisted loop algebra based on $gl_n$ and deal with the associated hierarchies. We exhibit an $sl_2$ embedding for each reduction of a Kac-Moody Poisson bracket algebra to a W-algebra of gauge invariant differential polynomials. |
2406.08793 | Yun Zhi Du | Han Wang, Yun-Zhi Du | Topology of the charged AdS black hole in restricted phase space | null | Chin.Phys.C 48 (2024) 9 , 095109 | 10.1088/1674-1137/ad57b0 | Chin.Phys.C 48 (2024) 9 , 095109 | hep-th | http://creativecommons.org/licenses/by/4.0/ | The local topological properties of black hole systems can be expressed by
the winding numbers as the defects. As so far, AdS black hole thermodynamics is
often depicted by the dual parameters of $(T,S),~ (P,V), (\Phi, Q)$ in the
extended phase space, while there is several study on the black hole
thermodynamics in the restricted phase space. In this paper, we analyze the
topological properties of the charged AdS black holes in the restricted phase
space under the higher dimensions and higher order curvature gravities frame.
The results show that the topological number of the charged black hole in the
same canonical ensembles is a constant and is independent of the concrete dual
thermodynamical parameters. However, the topological number in the grand
canonical ensemble is different from that in the canonical ensemble for the
same black hole system. Furthermore, these results are independent of the
dimension $d$, the highest order $k$ of the Lanczos-Lovelock densities.
| [
{
"created": "Thu, 13 Jun 2024 03:57:45 GMT",
"version": "v1"
}
] | 2024-08-12 | [
[
"Wang",
"Han",
""
],
[
"Du",
"Yun-Zhi",
""
]
] | The local topological properties of black hole systems can be expressed by the winding numbers as the defects. As so far, AdS black hole thermodynamics is often depicted by the dual parameters of $(T,S),~ (P,V), (\Phi, Q)$ in the extended phase space, while there is several study on the black hole thermodynamics in the restricted phase space. In this paper, we analyze the topological properties of the charged AdS black holes in the restricted phase space under the higher dimensions and higher order curvature gravities frame. The results show that the topological number of the charged black hole in the same canonical ensembles is a constant and is independent of the concrete dual thermodynamical parameters. However, the topological number in the grand canonical ensemble is different from that in the canonical ensemble for the same black hole system. Furthermore, these results are independent of the dimension $d$, the highest order $k$ of the Lanczos-Lovelock densities. |
hep-th/0407002 | Paul Sutcliffe | Steffen Krusch and Paul Sutcliffe | Sphalerons in the Skyrme model | 17 pages, 6 figures | J.Phys. A37 (2004) 9037 | 10.1088/0305-4470/37/38/008 | null | hep-th | null | Numerical methods are used to compute sphaleron solutions of the Skyrme
model. These solutions have topological charge zero and are axially symmetric,
consisting of an axial charge n Skyrmion and an axial charge -n antiSkyrmion
(with n greater than one), balanced in unstable equilibrium. The energy is
slightly less than twice the energy of the axially symmetric charge n Skyrmion.
A similar configuration with n=1 does not produce a sphaleron solution, and
this difference is explained by considering the interaction of asymptotic pion
dipole fields. For sphaleron solutions with n greater than four the positions
of the Skyrmion and antiSkyrmion merge to form a circle, rather than isolated
points, and there are some features in common with Hopf solitons of the
Skyrme-Faddeev model.
| [
{
"created": "Thu, 1 Jul 2004 08:26:14 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Krusch",
"Steffen",
""
],
[
"Sutcliffe",
"Paul",
""
]
] | Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge -n antiSkyrmion (with n greater than one), balanced in unstable equilibrium. The energy is slightly less than twice the energy of the axially symmetric charge n Skyrmion. A similar configuration with n=1 does not produce a sphaleron solution, and this difference is explained by considering the interaction of asymptotic pion dipole fields. For sphaleron solutions with n greater than four the positions of the Skyrmion and antiSkyrmion merge to form a circle, rather than isolated points, and there are some features in common with Hopf solitons of the Skyrme-Faddeev model. |
hep-th/0504162 | Shogo Aoyama | Shogo Aoyama | The Disc Amplitude of the Dijkgraaf-Vafa Theory:1/N Expansion vs Complex
Curve Analysis | 14 pages, 1 figure; v2: a note and a reference added, typos corrected | JHEP 0510:032,2005 | 10.1088/1126-6708/2005/10/032 | null | hep-th | null | According to Dijkgraaf and Vafa the effective glueball superpotential of the
N=1 supersymmetric QCD coupled with an adjoint chiral multiplet is given by the
planar amplitude in the 1/N expansion of a matrix model. It was shown that,
when the N=1 supersymmetric QCD is coupled with fundamental chiral multiplets
as well, the effective glueball superpotential is modified by the disc
amplitude of the generalized matrix model. The diagramatic computation of this
disc amplitude is fairly involved for the multi-cut solution. Instead we
compute it with recourse to the complex analysis of the hyperelliptic curve.
The result is given in series of the gluino condensation S_i. The explicit
computation for the generic multi-cut solution is done up to order S^3. It is
systematic so that it can be extended to higher orders.
| [
{
"created": "Wed, 20 Apr 2005 07:38:48 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2005 14:29:46 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Aoyama",
"Shogo",
""
]
] | According to Dijkgraaf and Vafa the effective glueball superpotential of the N=1 supersymmetric QCD coupled with an adjoint chiral multiplet is given by the planar amplitude in the 1/N expansion of a matrix model. It was shown that, when the N=1 supersymmetric QCD is coupled with fundamental chiral multiplets as well, the effective glueball superpotential is modified by the disc amplitude of the generalized matrix model. The diagramatic computation of this disc amplitude is fairly involved for the multi-cut solution. Instead we compute it with recourse to the complex analysis of the hyperelliptic curve. The result is given in series of the gluino condensation S_i. The explicit computation for the generic multi-cut solution is done up to order S^3. It is systematic so that it can be extended to higher orders. |
0903.1844 | Carlos Fuertes | Carlos A. Fuertes and Sergej Moroz | Correlation functions in the non-relativistic AdS/CFT correspondence | 32 pages, 7 figures; v2: typos corrected, references added and
additional discussion about the case of compact number-direction, includes
new appendix with the computations of the 2 and 3 point function for the
compact number-direction case. The general results remain the same. Version
published in Phys.Rev.D | Phys.Rev.D79:106004,2009 | 10.1103/PhysRevD.79.106004 | IFT UAM/CSIC-09-13 | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the correlation functions of scalar operators in the theory defined
as the holographic dual of the Schroedinger background with dynamical exponent
z=2 at zero temperature and zero chemical potential. We offer a closed
expression of the correlation functions at tree level in terms of Fourier
transforms of the corresponding n-point functions computed from pure AdS in the
lightcone frame. At the loop level this mapping does not hold and one has to
use the full Schroedinger background, after proper regularization. We
explicitly compute the 3-point function comparing it with the specific 3-point
function of the non-relativistic theory of cold atoms at unitarity. We find
agreement of both 3-point functions, including the part not fixed by the
symmetry, up to an overall normalization constant.
| [
{
"created": "Tue, 10 Mar 2009 21:03:24 GMT",
"version": "v1"
},
{
"created": "Tue, 19 May 2009 14:39:06 GMT",
"version": "v2"
}
] | 2009-07-30 | [
[
"Fuertes",
"Carlos A.",
""
],
[
"Moroz",
"Sergej",
""
]
] | We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of the correlation functions at tree level in terms of Fourier transforms of the corresponding n-point functions computed from pure AdS in the lightcone frame. At the loop level this mapping does not hold and one has to use the full Schroedinger background, after proper regularization. We explicitly compute the 3-point function comparing it with the specific 3-point function of the non-relativistic theory of cold atoms at unitarity. We find agreement of both 3-point functions, including the part not fixed by the symmetry, up to an overall normalization constant. |
2206.15385 | Dmitry Ponomarev | Dmitry Ponomarev | Basic introduction to higher-spin theories | 160 pages, minor corrections | null | 10.1007/s10773-023-05399-5 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a collection of my lecture notes on the higher-spin theory course
given for students at the Institute for Theoretical and Mathematical Physics,
Lomonosov Moscow State University. The goal of these lectures is to give an
introduction to higher-spin theories accessible to master level students which
would enable them to read the higher-spin literature. I start by introducing
basic relevant notions of representation theory and the associated
field-theoretic descriptions. Focusing on massless symmetric fields I review
different approaches to interactions as well as the no-go results. I end the
lectures by reviewing some of the currently available positive results on
interactions of massless higher-spin fields, namely, holographic, Chern-Simons
and chiral higher-spin theories.
| [
{
"created": "Thu, 30 Jun 2022 16:07:08 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Aug 2022 15:09:09 GMT",
"version": "v2"
},
{
"created": "Thu, 20 Apr 2023 20:32:36 GMT",
"version": "v3"
},
{
"created": "Thu, 25 May 2023 11:30:06 GMT",
"version": "v4"
}
] | 2023-07-26 | [
[
"Ponomarev",
"Dmitry",
""
]
] | This is a collection of my lecture notes on the higher-spin theory course given for students at the Institute for Theoretical and Mathematical Physics, Lomonosov Moscow State University. The goal of these lectures is to give an introduction to higher-spin theories accessible to master level students which would enable them to read the higher-spin literature. I start by introducing basic relevant notions of representation theory and the associated field-theoretic descriptions. Focusing on massless symmetric fields I review different approaches to interactions as well as the no-go results. I end the lectures by reviewing some of the currently available positive results on interactions of massless higher-spin fields, namely, holographic, Chern-Simons and chiral higher-spin theories. |
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