id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9412198 | Wolfgang Lerche | K. Landsteiner, W. Lerche and A. Sevrin | Topological Strings from WZW Models | 14p, latex | Phys.Lett. B352 (1995) 286-297 | 10.1016/0370-2693(95)00518-P | CERN-TH.7539/94 | hep-th | null | We show that the BRST structure of the topological string is encoded in the
``small'' $N=4$ superconformal algebra, enabling us to obtain, in a non-trivial
way, the string theory from hamiltonian reduction of $A(1|1)$. This leads to
the important conclusion that not only ordinary string theories, but
topological strings as well, can be obtained, or even defined, by hamiltonian
reduction from WZW models. Using two different gradations, we find either the
standard $N=2$ minimal models coupled to topological gravity, or an embedding
of the bosonic string into the topological string. We also comment briefly on
the generalization to super Lie algebras $A(n|n)$.
| [
{
"created": "Thu, 22 Dec 1994 14:40:12 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Landsteiner",
"K.",
""
],
[
"Lerche",
"W.",
""
],
[
"Sevrin",
"A.",
""
]
] | We show that the BRST structure of the topological string is encoded in the ``small'' $N=4$ superconformal algebra, enabling us to obtain, in a non-trivial way, the string theory from hamiltonian reduction of $A(1|1)$. This leads to the important conclusion that not only ordinary string theories, but topological strings as well, can be obtained, or even defined, by hamiltonian reduction from WZW models. Using two different gradations, we find either the standard $N=2$ minimal models coupled to topological gravity, or an embedding of the bosonic string into the topological string. We also comment briefly on the generalization to super Lie algebras $A(n|n)$. |
1001.3783 | Changhyun Ahn | Changhyun Ahn and Kyungsung Woo | Towards An N=1 SU(3)-Invariant Supersymmetric Membrane Flow In
Eleven-Dimensional Supergravity | 45 pp; Four footnotes added and corrected some statements | null | 10.1016/j.geomphys.2011.11.016 | KIAS-P10003 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The M-theory lift of N=1 G_2-invariant RG flow via a combinatoric use of the
4-dimensional RG flow and 11-dimensional Einstein-Maxwell equations was found
some time ago. The 11-dimensional metric, a warped product of an asymptotically
AdS_4 space with a squashed and stretched 7-sphere, for SU(3)-invariance was
found before. In this paper, by choosing the 4-dimensional internal space as
CP^2 space, we discover an exact solution of N=1 G_2-invariant flow to the
11-dimensional field equations. By an appropriate coordinate transformation on
the three internal coordinates, we also find an 11-dimensional solution of N=1
G_2-invariant flow interpolating from N=8 SO(8)-invariant UV fixed point to N=1
G_2-invariant IR fixed point. In particular, the 11-dimensional metric and
4-forms at the N=1 G_2 fixed point for the second solution will provide some
hints for the 11-dimensional lift of whole N=1 SU(3) RG flow connecting this
N=1 G_2 fixed point to N=2 SU(3) x U(1)_R fixed point in 4-dimensions.
| [
{
"created": "Thu, 21 Jan 2010 11:46:11 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 2010 04:31:48 GMT",
"version": "v2"
}
] | 2015-05-18 | [
[
"Ahn",
"Changhyun",
""
],
[
"Woo",
"Kyungsung",
""
]
] | The M-theory lift of N=1 G_2-invariant RG flow via a combinatoric use of the 4-dimensional RG flow and 11-dimensional Einstein-Maxwell equations was found some time ago. The 11-dimensional metric, a warped product of an asymptotically AdS_4 space with a squashed and stretched 7-sphere, for SU(3)-invariance was found before. In this paper, by choosing the 4-dimensional internal space as CP^2 space, we discover an exact solution of N=1 G_2-invariant flow to the 11-dimensional field equations. By an appropriate coordinate transformation on the three internal coordinates, we also find an 11-dimensional solution of N=1 G_2-invariant flow interpolating from N=8 SO(8)-invariant UV fixed point to N=1 G_2-invariant IR fixed point. In particular, the 11-dimensional metric and 4-forms at the N=1 G_2 fixed point for the second solution will provide some hints for the 11-dimensional lift of whole N=1 SU(3) RG flow connecting this N=1 G_2 fixed point to N=2 SU(3) x U(1)_R fixed point in 4-dimensions. |
hep-th/0408164 | Andrei Linde | Andrei Linde | Creation of a Compact Topologically Nontrivial Inflationary Universe | 9 pages 2 figures, new materials and references added | JCAP 0410:004,2004 | 10.1088/1475-7516/2004/10/004 | null | hep-th astro-ph gr-qc hep-ph | null | If inflation can occur only at the energy density V much smaller than the
Planck density, which is the case for many inflationary models based on string
theory, then the probability of quantum creation of a closed or an infinitely
large open inflationary universe is exponentially suppressed for all known
choices of the wave function of the universe. Meanwhile under certain
conditions there is no exponential suppression for creation of topologically
nontrivial compact flat or open inflationary universes. This suggests, contrary
to the standard textbook lore, that compact flat or open universes with
nontrivial topology should be considered a rule rather than an exception.
| [
{
"created": "Mon, 23 Aug 2004 19:00:30 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Sep 2004 03:30:28 GMT",
"version": "v2"
}
] | 2009-09-29 | [
[
"Linde",
"Andrei",
""
]
] | If inflation can occur only at the energy density V much smaller than the Planck density, which is the case for many inflationary models based on string theory, then the probability of quantum creation of a closed or an infinitely large open inflationary universe is exponentially suppressed for all known choices of the wave function of the universe. Meanwhile under certain conditions there is no exponential suppression for creation of topologically nontrivial compact flat or open inflationary universes. This suggests, contrary to the standard textbook lore, that compact flat or open universes with nontrivial topology should be considered a rule rather than an exception. |
0801.3961 | Ralf Hofmann | Jochen Keller | Gauge-invariant two-point correlator of energy density in deconfining
SU(2) Yang-Mills thermodynamics | v4: error in thermal part corrected, some figures altered, slight
changes of text | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The thesis is considering aspects of SU(2) Yang-Mills thermodynamics in its
deconfining high-temperature phase. We calculate the two-point correlation
function of the energy density of the photon in a thermalized gas, at first in
the conventional U(1) gauge theory, followed by a calculation, where the photon
is identified with the massless gauge mode in deconfining SU(2) Yang-Mills
thermodynamics. Apart from the fact, that this calculation is interesting from
a technical point of view, we can consider several aspects of phenomenological
relevance. Since we interpret the two-point correlator of energy density as a
measure for the energy transfer, and thus for the electromagnetic interaction
of microscopic objects, such as atoms immersed into a photon gas, we are able
to give an explanation for the unexpected stability of cold, innergalactic
clouds consisting of atomic hydrogen.
Subsequently, we evaluate the spatial string tension in deconfining SU(2)
Yang-Mills thermodynamics, which can be regarded as measure for the magnetic
flux through the area enclosed by the associated Wilson loop. On the level of
on-shell polarization effects for the massless mode we observe a perimeter-law,
and we speculate that the lattice-obtained area-law is induced by off-shell
contributions to the polarization tensor. Moreover, we discuss an interesting
two-loop result for the pressure which seems to be associated with the presence
of screened magnetic monopoles being responsible for an area-law.
| [
{
"created": "Fri, 25 Jan 2008 15:21:12 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Feb 2008 07:43:39 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jun 2008 14:23:27 GMT",
"version": "v3"
},
{
"created": "Mon, 15 Dec 2008 13:05:48 GMT",
"version": "v4"
}
] | 2008-12-15 | [
[
"Keller",
"Jochen",
""
]
] | The thesis is considering aspects of SU(2) Yang-Mills thermodynamics in its deconfining high-temperature phase. We calculate the two-point correlation function of the energy density of the photon in a thermalized gas, at first in the conventional U(1) gauge theory, followed by a calculation, where the photon is identified with the massless gauge mode in deconfining SU(2) Yang-Mills thermodynamics. Apart from the fact, that this calculation is interesting from a technical point of view, we can consider several aspects of phenomenological relevance. Since we interpret the two-point correlator of energy density as a measure for the energy transfer, and thus for the electromagnetic interaction of microscopic objects, such as atoms immersed into a photon gas, we are able to give an explanation for the unexpected stability of cold, innergalactic clouds consisting of atomic hydrogen. Subsequently, we evaluate the spatial string tension in deconfining SU(2) Yang-Mills thermodynamics, which can be regarded as measure for the magnetic flux through the area enclosed by the associated Wilson loop. On the level of on-shell polarization effects for the massless mode we observe a perimeter-law, and we speculate that the lattice-obtained area-law is induced by off-shell contributions to the polarization tensor. Moreover, we discuss an interesting two-loop result for the pressure which seems to be associated with the presence of screened magnetic monopoles being responsible for an area-law. |
1008.1190 | Patrick Dorey | Patrick Dorey, Roberto Tateo, Ruth Wilbourne | Exact g-function flows from the staircase model | 27 pages, 12 figures | Nucl.Phys.B843:724-752,2011 | 10.1016/j.nuclphysb.2010.10.009 | DCPT-10/35 | hep-th cond-mat.stat-mech math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Equations are found for exact g-functions corresponding to integrable bulk
and boundary flows between successive unitary c<1 minimal conformal field
theories in two dimensions, confirming and extending previous perturbative
results. These equations are obtained via an embedding of the flows into a
boundary version of Al. Zamolodchikov's staircase model.
| [
{
"created": "Fri, 6 Aug 2010 13:30:31 GMT",
"version": "v1"
}
] | 2010-11-23 | [
[
"Dorey",
"Patrick",
""
],
[
"Tateo",
"Roberto",
""
],
[
"Wilbourne",
"Ruth",
""
]
] | Equations are found for exact g-functions corresponding to integrable bulk and boundary flows between successive unitary c<1 minimal conformal field theories in two dimensions, confirming and extending previous perturbative results. These equations are obtained via an embedding of the flows into a boundary version of Al. Zamolodchikov's staircase model. |
2303.07552 | Kenta Suzuki | Kazumi Okuyama, Kenta Suzuki | Correlators of double scaled SYK at one-loop | 26 pages, 1 figure | null | 10.1007/JHEP05(2023)117 | RUP-23-5 | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, we study one-loop contributions in the double-scaling limit of
the SYK model from the chord diagrams and Liouville type effective action. We
compute and clarify the meaning of each component consisting of the one-loop
corrections for the two- and time-ordered four-point functions of light
operators. We also reproduce the exact expression of the out-of-time-ordered
four-point function at arbitrary temperatures within the one-loop level, which
were previously computed from different methods.
| [
{
"created": "Tue, 14 Mar 2023 00:43:52 GMT",
"version": "v1"
}
] | 2023-05-31 | [
[
"Okuyama",
"Kazumi",
""
],
[
"Suzuki",
"Kenta",
""
]
] | In this paper, we study one-loop contributions in the double-scaling limit of the SYK model from the chord diagrams and Liouville type effective action. We compute and clarify the meaning of each component consisting of the one-loop corrections for the two- and time-ordered four-point functions of light operators. We also reproduce the exact expression of the out-of-time-ordered four-point function at arbitrary temperatures within the one-loop level, which were previously computed from different methods. |
1709.01004 | Frans Klinkhamer | F.R. Klinkhamer | Anomalous Lorentz and CPT violation | 8 pages; invited talk at the International Workshop on CPT and
Lorentz Symmetry in Field Theory, University of the Algarve, Faro, Portugal,
July 6-7, 2017; v4: published version | J. Phys. Conf. Ser. 952 (2018) 012003 | 10.1088/1742-6596/952/1/012003 | KA-TP-29-2017 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If there exists Lorentz and CPT violation in nature, then it is crucial to
discover and understand the underlying mechanism. In this contribution, we
discuss one such mechanism which relies on four-dimensional chiral gauge
theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times
S^1$ and periodic spin structure for the compact dimension. It can be shown
that the effective gauge-field action contains a local Chern-Simons-like term
which violates Lorentz and CPT invariance. For arbitrary Abelian $U(1)$ gauge
fields with trivial holonomies in the compact direction, this anomalous Lorentz
and CPT violation has recently been established perturbatively with a
Pauli-Villars-type regularization and nonperturbatively with a lattice
regularization based on Ginsparg-Wilson fermions.
| [
{
"created": "Mon, 4 Sep 2017 15:28:17 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Sep 2017 14:46:09 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Sep 2017 12:32:28 GMT",
"version": "v3"
},
{
"created": "Wed, 24 Oct 2018 11:51:49 GMT",
"version": "v4"
}
] | 2018-10-25 | [
[
"Klinkhamer",
"F. R.",
""
]
] | If there exists Lorentz and CPT violation in nature, then it is crucial to discover and understand the underlying mechanism. In this contribution, we discuss one such mechanism which relies on four-dimensional chiral gauge theories defined over a spacetime manifold with topology $\mathbb{R}^3 \times S^1$ and periodic spin structure for the compact dimension. It can be shown that the effective gauge-field action contains a local Chern-Simons-like term which violates Lorentz and CPT invariance. For arbitrary Abelian $U(1)$ gauge fields with trivial holonomies in the compact direction, this anomalous Lorentz and CPT violation has recently been established perturbatively with a Pauli-Villars-type regularization and nonperturbatively with a lattice regularization based on Ginsparg-Wilson fermions. |
hep-th/0501227 | David Dudal | D. Dudal, J. A. Gracey, V. E. R. Lemes, M. S. Sarandy, R. F. Sobreiro,
S. P. Sorella, H. Verschelde | Off-diagonal mass generation for Yang-Mills theories in the maximal
Abelian gauge | 15 pages. Revtex. 1 .eps figure. Talk given by D.Dudal at XXV
Encontro Nacional de Fisica de Particulas e Campos, Caxambu, Minas Gerais,
Brasil, 24-28 Aug 2004. To appear in Brazilian Journal of Physics | Braz.J.Phys.37:406-418,2007 | 10.1590/S0103-97332007000300011 | LTH-645 | hep-th | null | We investigate a dynamical mass generation mechanism for the off-diagonal
gluons and ghosts in SU(N) Yang-Mills theories, quantized in the maximal
Abelian gauge. Such a mass can be seen as evidence for the Abelian dominance in
that gauge. It originates from the condensation of a mixed gluon-ghost operator
of mass dimension two, which lowers the vacuum energy. We construct an
effective potential for this operator by a combined use of the local composite
operators technique with algebraic renormalization and we discuss the gauge
parameter independence of the results. We also show that it is possible to
connect the vacuum energy, due to the mass dimension two condensate discussed
here, with the non-trivial vacuum energy originating from the condensate <A^2>,
which has attracted much attention in the Landau gauge.
| [
{
"created": "Fri, 28 Jan 2005 08:49:20 GMT",
"version": "v1"
}
] | 2011-08-04 | [
[
"Dudal",
"D.",
""
],
[
"Gracey",
"J. A.",
""
],
[
"Lemes",
"V. E. R.",
""
],
[
"Sarandy",
"M. S.",
""
],
[
"Sobreiro",
"R. F.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Verschelde",
"H.",
""
]
] | We investigate a dynamical mass generation mechanism for the off-diagonal gluons and ghosts in SU(N) Yang-Mills theories, quantized in the maximal Abelian gauge. Such a mass can be seen as evidence for the Abelian dominance in that gauge. It originates from the condensation of a mixed gluon-ghost operator of mass dimension two, which lowers the vacuum energy. We construct an effective potential for this operator by a combined use of the local composite operators technique with algebraic renormalization and we discuss the gauge parameter independence of the results. We also show that it is possible to connect the vacuum energy, due to the mass dimension two condensate discussed here, with the non-trivial vacuum energy originating from the condensate <A^2>, which has attracted much attention in the Landau gauge. |
hep-th/9905070 | Akulov Vladimir | V. Akulov and M. Kudinov (Baruch College of the City University of New
York) | Extended Supersymmetric Quantum Mechanics | 11 pages; includes used packages; submitted to Phys. Lett. B; removed
minor misprints and references added | Phys.Lett. B460 (1999) 365-370 | 10.1016/S0370-2693(99)00773-X | CUNY-HEP 99/05 | hep-th | null | A parametrization of the Hamiltonian of the generalized Witten model of the
SUSY QM by a single arbitrary function in d=1 has been obtained for an
arbitrary number of the supersymmetries N. Possible applications of this
formalism have been discussed. It has been shown that the N=1 and 2 conformal
SUSY QM is generalized for any N.
| [
{
"created": "Tue, 11 May 1999 12:55:29 GMT",
"version": "v1"
},
{
"created": "Mon, 17 May 1999 14:14:01 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Akulov",
"V.",
"",
"Baruch College of the City University of New\n York"
],
[
"Kudinov",
"M.",
"",
"Baruch College of the City University of New\n York"
]
] | A parametrization of the Hamiltonian of the generalized Witten model of the SUSY QM by a single arbitrary function in d=1 has been obtained for an arbitrary number of the supersymmetries N. Possible applications of this formalism have been discussed. It has been shown that the N=1 and 2 conformal SUSY QM is generalized for any N. |
0705.1162 | Mauricio Romo | Rodrigo Aros, Mauricio Romo and Nelson Zamorano | Compactification in first order gravity | Minor corrections | J.Phys.Conf.Ser.134:012013,2008 | 10.1088/1742-6596/134/1/012013 | null | hep-th | null | The Kaluza-Klein compactification process is applied in five dimensions to CS
gravity, for the anti-de Sitter and Poincar\'e groups, using the first order
formalism. In this context some solutions are found and analyzed. Also, the
conserved charges associated to the solutions are computed.
| [
{
"created": "Tue, 8 May 2007 20:10:25 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2007 17:34:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Aros",
"Rodrigo",
""
],
[
"Romo",
"Mauricio",
""
],
[
"Zamorano",
"Nelson",
""
]
] | The Kaluza-Klein compactification process is applied in five dimensions to CS gravity, for the anti-de Sitter and Poincar\'e groups, using the first order formalism. In this context some solutions are found and analyzed. Also, the conserved charges associated to the solutions are computed. |
hep-th/0606184 | Dmitri Fursaev | Dmitri V. Fursaev | Proof of the Holographic Formula for Entanglement Entropy | 16 pages, 3 figures, a new section on the effect of curvature terms
in the bulk is added, typos corrected, pictures are improved | JHEP 0609:018,2006 | 10.1088/1126-6708/2006/09/018 | null | hep-th cond-mat.other quant-ph | null | Entanglement entropy for a spatial partition of a quantum system is studied
in theories which admit a dual description in terms of the anti-de Sitter (AdS)
gravity one dimension higher. A general proof of the holographic formula which
relates the entropy to the area of a codimension 2 minimal hypersurface
embedded in the bulk AdS space is given. The entanglement entropy is determined
by a partition function which is defined as a path integral over Riemannian AdS
geometries with non-trivial boundary conditions. The topology of the Riemannian
spaces puts restrictions on the choice of the minimal hypersurface for a given
boundary conditions. The entanglement entropy is also considered in
Randall-Sundrum braneworld models where its asymptotic expansion is derived
when the curvature radius of the brane is much larger than the AdS radius.
Special attention is payed to the geometrical structure of anomalous terms in
the entropy in four dimensions. Modification of the holographic formula by the
higher curvature terms in the bulk is briefly discussed.
| [
{
"created": "Tue, 20 Jun 2006 06:09:02 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Jul 2006 05:54:17 GMT",
"version": "v2"
}
] | 2010-02-03 | [
[
"Fursaev",
"Dmitri V.",
""
]
] | Entanglement entropy for a spatial partition of a quantum system is studied in theories which admit a dual description in terms of the anti-de Sitter (AdS) gravity one dimension higher. A general proof of the holographic formula which relates the entropy to the area of a codimension 2 minimal hypersurface embedded in the bulk AdS space is given. The entanglement entropy is determined by a partition function which is defined as a path integral over Riemannian AdS geometries with non-trivial boundary conditions. The topology of the Riemannian spaces puts restrictions on the choice of the minimal hypersurface for a given boundary conditions. The entanglement entropy is also considered in Randall-Sundrum braneworld models where its asymptotic expansion is derived when the curvature radius of the brane is much larger than the AdS radius. Special attention is payed to the geometrical structure of anomalous terms in the entropy in four dimensions. Modification of the holographic formula by the higher curvature terms in the bulk is briefly discussed. |
hep-th/0012078 | Yang-Hui Evariste He | Bo Feng, Amihay Hanany, Yang-Hui He and Nikolaos Prezas | Stepwise Projection: Toward Brane Setups for Generic Orbifold
Singularities | 22 pages, 3 figures | JHEP 0201 (2002) 040 | 10.1088/1126-6708/2002/01/040 | MIT-CTP-3054 | hep-th | null | The construction of brane setups for the exceptional series E6,E7,E8 of SU(2)
orbifolds remains an ever-haunting conundrum. Motivated by techniques in some
works by Muto on non-Abelian SU(3) orbifolds, we here provide an algorithmic
outlook, a method which we call stepwise projection, that may shed some light
on this puzzle. We exemplify this method, consisting of transformation rules
for obtaining complex quivers and brane setups from more elementary ones, to
the cases of the D-series and E6 finite subgroups of SU(2). Furthermore, we
demonstrate the generality of the stepwise procedure by appealing to Frobenius'
theory of Induced Representations. Our algorithm suggests the existence of
generalisations of the orientifold plane in string theory.
| [
{
"created": "Fri, 8 Dec 2000 21:36:25 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Feng",
"Bo",
""
],
[
"Hanany",
"Amihay",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Prezas",
"Nikolaos",
""
]
] | The construction of brane setups for the exceptional series E6,E7,E8 of SU(2) orbifolds remains an ever-haunting conundrum. Motivated by techniques in some works by Muto on non-Abelian SU(3) orbifolds, we here provide an algorithmic outlook, a method which we call stepwise projection, that may shed some light on this puzzle. We exemplify this method, consisting of transformation rules for obtaining complex quivers and brane setups from more elementary ones, to the cases of the D-series and E6 finite subgroups of SU(2). Furthermore, we demonstrate the generality of the stepwise procedure by appealing to Frobenius' theory of Induced Representations. Our algorithm suggests the existence of generalisations of the orientifold plane in string theory. |
1011.1630 | Steven Weinberg | Steven Weinberg | Ultraviolet Divergences in Cosmological Correlations | References added on various regularization methods. Improved
discussion of further issues. 26 pages, 1 figure | Phys.Rev.D83:063508,2011 | 10.1103/PhysRevD.83.063508 | UTTG-04-10 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A method is developed for dealing with ultraviolet divergences in
calculations of cosmological correlations, which does not depend on dimensional
regularization. An extended version of the WKB approximation is used to analyze
the divergences in these calculations, and these divergences are controlled by
the introduction of Pauli--Villars regulator fields. This approach is
illustrated in the theory of a scalar field with arbitrary self-interactions in
a fixed flat-space Robertson--Walker metric with arbitrary scale factor $a(t)$.
Explicit formulas are given for the counterterms needed to cancel all
dependence on the regulator properties, and an explicit prescription is given
for calculating finite regulator-independent correlation functions. The
possibility of infrared divergences in this theory is briefly considered.
| [
{
"created": "Sun, 7 Nov 2010 10:35:03 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Dec 2010 21:29:37 GMT",
"version": "v2"
}
] | 2011-03-22 | [
[
"Weinberg",
"Steven",
""
]
] | A method is developed for dealing with ultraviolet divergences in calculations of cosmological correlations, which does not depend on dimensional regularization. An extended version of the WKB approximation is used to analyze the divergences in these calculations, and these divergences are controlled by the introduction of Pauli--Villars regulator fields. This approach is illustrated in the theory of a scalar field with arbitrary self-interactions in a fixed flat-space Robertson--Walker metric with arbitrary scale factor $a(t)$. Explicit formulas are given for the counterterms needed to cancel all dependence on the regulator properties, and an explicit prescription is given for calculating finite regulator-independent correlation functions. The possibility of infrared divergences in this theory is briefly considered. |
hep-th/9312089 | D. V. Ahluwalia, Lanl | D. V. Ahluwalia, M. B. Jonnson, and T. Goldman | Space-Time Symmetries: P and CP Violation | Talk presened by D. V. Ahluwalia at the III International Wigner
Symposium, Christ Church, Oxford, September 1993. | null | null | Los Alamos National Laboratorty Preprint LA-UR-93-4314 | hep-th | null | We begin with a few remarks on an explicit construction of a
Bargmann-Wightman-Wigner-type quantum field theory [Phys. Lett. B {\bf 316},
102 (1993)] in which bosons and associated antibosons have opposite relative
intrinsic parities. We then construct $(1,0)\oplus(0,1)$ Majorana ($CP$ self
conjugate) and Majorana-like ($C\Gamma^5$ self conjugate, $\Gamma^5=$ chirality
operator) fields. We point out that this new structure in the space time
symmetries may be relevant to $P$ and $CP$ violation.
| [
{
"created": "Sat, 11 Dec 1993 00:35:43 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ahluwalia",
"D. V.",
""
],
[
"Jonnson",
"M. B.",
""
],
[
"Goldman",
"T.",
""
]
] | We begin with a few remarks on an explicit construction of a Bargmann-Wightman-Wigner-type quantum field theory [Phys. Lett. B {\bf 316}, 102 (1993)] in which bosons and associated antibosons have opposite relative intrinsic parities. We then construct $(1,0)\oplus(0,1)$ Majorana ($CP$ self conjugate) and Majorana-like ($C\Gamma^5$ self conjugate, $\Gamma^5=$ chirality operator) fields. We point out that this new structure in the space time symmetries may be relevant to $P$ and $CP$ violation. |
1202.1764 | Ta-Sheng Tai | Ta-Sheng Tai and Reiji Yoshioka | On non-stationary Lam\'e equation from WZW model and spin-1/2 XYZ chain | 17 pages, 3 figures; v2: minor revision; v3: typos in equations
corrected | JHEP 1206:121,2012 | 10.1007/JHEP06(2012)121 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the link between WZW model and the spin-1/2 XYZ chain. This is
achieved by comparing the second-order differential equations from them. In the
former case, the equation is the Ward-Takahashi identity satisfied by one-point
toric conformal blocks. In the latter case, it arises from Baxter's TQ
relation. We find that the dimension of the representation space w.r.t. the
V-valued primary field in these conformal blocks gets mapped to the total
number of chain sites. By doing so, Stroganov's "The Importance of being Odd"
(cond-mat/0012035) can be consistently understood in terms of WZW model
language. We first confirm this correspondence by taking a trigonometric limit
of the XYZ chain. That eigenstates of the resultant two-body Sutherland model
from Baxter's TQ relation can be obtained by deforming toric conformal blocks
supports our proposal.
| [
{
"created": "Wed, 8 Feb 2012 16:57:27 GMT",
"version": "v1"
},
{
"created": "Sun, 19 Feb 2012 12:08:41 GMT",
"version": "v2"
},
{
"created": "Thu, 19 Apr 2012 13:06:08 GMT",
"version": "v3"
}
] | 2012-06-25 | [
[
"Tai",
"Ta-Sheng",
""
],
[
"Yoshioka",
"Reiji",
""
]
] | We study the link between WZW model and the spin-1/2 XYZ chain. This is achieved by comparing the second-order differential equations from them. In the former case, the equation is the Ward-Takahashi identity satisfied by one-point toric conformal blocks. In the latter case, it arises from Baxter's TQ relation. We find that the dimension of the representation space w.r.t. the V-valued primary field in these conformal blocks gets mapped to the total number of chain sites. By doing so, Stroganov's "The Importance of being Odd" (cond-mat/0012035) can be consistently understood in terms of WZW model language. We first confirm this correspondence by taking a trigonometric limit of the XYZ chain. That eigenstates of the resultant two-body Sutherland model from Baxter's TQ relation can be obtained by deforming toric conformal blocks supports our proposal. |
hep-th/9706130 | Jae-Suk Park | Christiaan Hofman and Jae-Suk Park | Monads, Strings, and M Theory | 36 pages, TeX, harvmac, minor corrections with added reference | Nucl.Phys. B520 (1998) 229-260 | 10.1016/S0550-3213(98)00047-9 | THU-97/16, UVA-ITFA/97/20 | hep-th | null | The recent developments in string theory suggest that the space-time
coordinates should be generalized to non-commuting matrices. Postulating this
suggestion as the fundamental geometrical principle, we formulate a candidate
for covariant second quantized RNS superstrings as a topological field theory
in two dimensions. Our construction is a natural non-Abelian extension of the
RNS string. It also naturally leads to a model with manifest 11-dimensional
covariance, which we conjecture to be a formulation of M theory. The
non-commuting space-time coordinates of the strings are further generalized to
non-commuting anti-symmetric tensors. The usual space-time picture and the free
superstrings appear only in certain special phases of the model. We derive a
simple set of algebraic equations, which determine the moduli space of our
model. We test some aspects of our conjectual M theory for the case of
compactification on $T^2$.
| [
{
"created": "Wed, 18 Jun 1997 17:00:07 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 1997 22:35:21 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Hofman",
"Christiaan",
""
],
[
"Park",
"Jae-Suk",
""
]
] | The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant second quantized RNS superstrings as a topological field theory in two dimensions. Our construction is a natural non-Abelian extension of the RNS string. It also naturally leads to a model with manifest 11-dimensional covariance, which we conjecture to be a formulation of M theory. The non-commuting space-time coordinates of the strings are further generalized to non-commuting anti-symmetric tensors. The usual space-time picture and the free superstrings appear only in certain special phases of the model. We derive a simple set of algebraic equations, which determine the moduli space of our model. We test some aspects of our conjectual M theory for the case of compactification on $T^2$. |
hep-th/0610071 | S. Kalyana Rama | S. Kalyana Rama | A Principle to Determine the Number (3 + 1) of Large Spacetime
Dimensions | 11 pages. Latex file. Version 2: References added | Phys.Lett.B645:365-368,2007 | 10.1016/j.physletb.2006.11.077 | IMSc/2006/10/22 | hep-th cond-mat.stat-mech gr-qc | null | We assume that our universe originated from highly excited and interacting
strings with coupling constant g_s = {\cal O} (1). Fluctuations of spacetime
geometry are large in such strings and the physics dictating the emergence of a
final spacetime configuration is not known. We propose that, nevertheless, it
is determined by an entropic principle that the final spacetime configuration
must have maximum entropy for a given amount of energy. This principle implies,
under some assumptions, that the spacetime configuration that emerges finally
is a (3 + 1) -- dimensional FRW universe filled with w = 1 perfect fluid and
with 6 -- dimensional compact space of size l_s; in particular, the number of
large spacetime dimensions is d = 3 + 1. Such an universe may evolve
subsequently into our universe, perhaps as in Banks -- Fischler scenario.
| [
{
"created": "Fri, 6 Oct 2006 07:14:17 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Oct 2006 02:59:33 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Rama",
"S. Kalyana",
""
]
] | We assume that our universe originated from highly excited and interacting strings with coupling constant g_s = {\cal O} (1). Fluctuations of spacetime geometry are large in such strings and the physics dictating the emergence of a final spacetime configuration is not known. We propose that, nevertheless, it is determined by an entropic principle that the final spacetime configuration must have maximum entropy for a given amount of energy. This principle implies, under some assumptions, that the spacetime configuration that emerges finally is a (3 + 1) -- dimensional FRW universe filled with w = 1 perfect fluid and with 6 -- dimensional compact space of size l_s; in particular, the number of large spacetime dimensions is d = 3 + 1. Such an universe may evolve subsequently into our universe, perhaps as in Banks -- Fischler scenario. |
1105.0535 | Jochen Zahn | Jochen Zahn | Divergences in QFT on the Noncommutative Minkowski Space with
Grosse-Wulkenhaar potential | 8 pages, Contribution to the proceedings of the Corfu Summer
Institute on Elementary Particles and Physics 2010 | PoS CNCFG2010:034, 2010 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study quantum field theory on the two-dimensional Noncommutative Minkoswki
space with a Grosse-Wulkenhaar potential. We explicitly construct the retarded
propagator and show that it is not a tempered distribution. This leads to
problems when trying to define planar products of such distributions, as they
appear in the Yang-Feldman series. At and above the self-dual point, these can
no longer be defined, not even at different points. This shows that we do not
deal with an ordinary ultraviolet divergence.
| [
{
"created": "Tue, 3 May 2011 10:26:40 GMT",
"version": "v1"
}
] | 2011-05-04 | [
[
"Zahn",
"Jochen",
""
]
] | We study quantum field theory on the two-dimensional Noncommutative Minkoswki space with a Grosse-Wulkenhaar potential. We explicitly construct the retarded propagator and show that it is not a tempered distribution. This leads to problems when trying to define planar products of such distributions, as they appear in the Yang-Feldman series. At and above the self-dual point, these can no longer be defined, not even at different points. This shows that we do not deal with an ordinary ultraviolet divergence. |
1806.07898 | Christoph Uhlemann | Oren Bergman, Diego Rodriguez-Gomez, Christoph F. Uhlemann | Testing $AdS_6/CFT_5$ in Type IIB with stringy operators | 41 pages, 13 figures | null | 10.1007/JHEP08(2018)127 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We provide further evidence that the recently constructed warped $AdS_6$
solutions in Type IIB supergravity are dual to 5d SCFTs that correspond to
$(p,q)$ 5-brane webs with large numbers of like-charged external 5-branes. We
study a number of specific examples, including the $T_N$ theory, and identify
the bulk states dual to a class of operators with ${\cal O}(N)$ scaling
dimensions in terms of strings and string-webs embedded in the solutions.
| [
{
"created": "Wed, 20 Jun 2018 18:00:04 GMT",
"version": "v1"
}
] | 2018-09-26 | [
[
"Bergman",
"Oren",
""
],
[
"Rodriguez-Gomez",
"Diego",
""
],
[
"Uhlemann",
"Christoph F.",
""
]
] | We provide further evidence that the recently constructed warped $AdS_6$ solutions in Type IIB supergravity are dual to 5d SCFTs that correspond to $(p,q)$ 5-brane webs with large numbers of like-charged external 5-branes. We study a number of specific examples, including the $T_N$ theory, and identify the bulk states dual to a class of operators with ${\cal O}(N)$ scaling dimensions in terms of strings and string-webs embedded in the solutions. |
1703.10591 | Rafael Augusto Couceiro Correa | R. A. C. Correa, W. de Paula, A. de Souza Dutra, and T. Frederico | Lorentz Violation and Topologically Trapped Charge Carriers in 2D
Materials | null | null | 10.1002/andp.201700405 | null | hep-th cond-mat.mtrl-sci nlin.SI quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The full spectrum of two-dimensional fermion states in a scalar soliton trap
with a Lorentz breaking background is investigated in the context of the novel
2D materials, where the Lorentz symmetry should not be strictly valid. The
field theoretical model with Lorentz breaking terms represents Dirac electrons
in one valley and in a scalar field background. The Lorentz violation comes
from the difference between the Dirac electron and scalar mode velocities,
which should be expected when modelling the electronic and lattice excitations
in 2D materials. We extend the analytical methods developed in the context of
1+1 field theories to explore the effect of the Lorentz symmetry breaking in
the charge carrier density of 2D materials in the presence of a domain wall
with a kink profile. The width and the depth of the trapping potential from the
kink is controlled by the Lorentz violating term, which is reflected
analytically in the band structure and properties of the trapped states. Our
findings enlarge previous studies of the edge states obtained with domain wall
and in strained graphene nanoribbon in a chiral gauge theory.
| [
{
"created": "Thu, 30 Mar 2017 17:42:35 GMT",
"version": "v1"
}
] | 2018-07-04 | [
[
"Correa",
"R. A. C.",
""
],
[
"de Paula",
"W.",
""
],
[
"Dutra",
"A. de Souza",
""
],
[
"Frederico",
"T.",
""
]
] | The full spectrum of two-dimensional fermion states in a scalar soliton trap with a Lorentz breaking background is investigated in the context of the novel 2D materials, where the Lorentz symmetry should not be strictly valid. The field theoretical model with Lorentz breaking terms represents Dirac electrons in one valley and in a scalar field background. The Lorentz violation comes from the difference between the Dirac electron and scalar mode velocities, which should be expected when modelling the electronic and lattice excitations in 2D materials. We extend the analytical methods developed in the context of 1+1 field theories to explore the effect of the Lorentz symmetry breaking in the charge carrier density of 2D materials in the presence of a domain wall with a kink profile. The width and the depth of the trapping potential from the kink is controlled by the Lorentz violating term, which is reflected analytically in the band structure and properties of the trapped states. Our findings enlarge previous studies of the edge states obtained with domain wall and in strained graphene nanoribbon in a chiral gauge theory. |
2107.00611 | Arshia Momeni | Mariana Carrillo Gonz\'alez, Arshia Momeni, Justinas Rumbutis | Massive Double Copy in Three Spacetime Dimensions | References added, minor corrections | null | null | Imperial/TP/2021/MC/01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent explorations on how to construct a double copy of massive gauge fields
have shown that, while any amplitude can be written in a form consistent with
colour-kinematics duality, the double copy is generically unphysical. In this
paper, we explore a new direction in which we can obtain a sensible double copy
of massive gauge fields due to the special kinematics in three-dimensional
spacetimes. To avoid the appearance of spurious poles at 5-points, we only
require that the scattering amplitudes satisfy one BCJ relation. We show that
the amplitudes of Topologically Massive Yang-Mills satisfy this relation and
that their double copy at three, four, and five-points is Topologically Massive
Gravity.
| [
{
"created": "Thu, 1 Jul 2021 16:58:59 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jul 2021 14:51:11 GMT",
"version": "v2"
}
] | 2021-07-13 | [
[
"González",
"Mariana Carrillo",
""
],
[
"Momeni",
"Arshia",
""
],
[
"Rumbutis",
"Justinas",
""
]
] | Recent explorations on how to construct a double copy of massive gauge fields have shown that, while any amplitude can be written in a form consistent with colour-kinematics duality, the double copy is generically unphysical. In this paper, we explore a new direction in which we can obtain a sensible double copy of massive gauge fields due to the special kinematics in three-dimensional spacetimes. To avoid the appearance of spurious poles at 5-points, we only require that the scattering amplitudes satisfy one BCJ relation. We show that the amplitudes of Topologically Massive Yang-Mills satisfy this relation and that their double copy at three, four, and five-points is Topologically Massive Gravity. |
1201.5712 | Samrat Bhowmick | Samrat Bhowmick | Study of Early Universe in an M Theoretic Model | PhD Thesis. Advisor: S. Kalyana Rama | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this thesis we study early universe in the frame work of M theory. In
particular We assume that the early universe is homogeneous, anisotropic, and
is dominated by the mutually BPS 22'55' intersecting branes of M theory. We
find that, asymptotically, three spatial directions expand to infinity and the
remaining spatial directions reach stabilised values. We give a physical
description of the stabilisation mechanism.
| [
{
"created": "Fri, 27 Jan 2012 07:51:59 GMT",
"version": "v1"
}
] | 2012-01-30 | [
[
"Bhowmick",
"Samrat",
""
]
] | In this thesis we study early universe in the frame work of M theory. In particular We assume that the early universe is homogeneous, anisotropic, and is dominated by the mutually BPS 22'55' intersecting branes of M theory. We find that, asymptotically, three spatial directions expand to infinity and the remaining spatial directions reach stabilised values. We give a physical description of the stabilisation mechanism. |
0804.1114 | David Tong | Neil Lambert and David Tong | Membranes on an Orbifold | 10 pages. V2: improved discussion of minimal k moduli space; extended
discussion of locus of non-abelian gauge symmetry | Phys.Rev.Lett.101:041602,2008 | 10.1103/PhysRevLett.101.041602 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We harvest clues to aid with the interpretation of the recently discovered
N=8 supersymmetric Chern-Simons theory with SO(4) gauge symmetry. The theory is
argued to describe two membranes moving in the orbifold R8/Z2. At level k=1 and
k=2, the classical moduli space M coincides with the infra-red moduli space of
SO(4) and SO(5) super Yang-Mills theory respectively. For higher Chern-Simons
level, the moduli space is a quotient of M. At a generic point in the moduli
space, the massive spectrum is proportional to the area of the triangle formed
by the two membranes and the orbifold fixed point.
| [
{
"created": "Mon, 7 Apr 2008 19:41:39 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Apr 2008 15:00:48 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lambert",
"Neil",
""
],
[
"Tong",
"David",
""
]
] | We harvest clues to aid with the interpretation of the recently discovered N=8 supersymmetric Chern-Simons theory with SO(4) gauge symmetry. The theory is argued to describe two membranes moving in the orbifold R8/Z2. At level k=1 and k=2, the classical moduli space M coincides with the infra-red moduli space of SO(4) and SO(5) super Yang-Mills theory respectively. For higher Chern-Simons level, the moduli space is a quotient of M. At a generic point in the moduli space, the massive spectrum is proportional to the area of the triangle formed by the two membranes and the orbifold fixed point. |
2206.15045 | Nitin Joshi | Sourav Bhattacharya, Nitin Joshi, Shagun Kaushal | Decoherence and entropy generation in an open quantum scalar-fermion
system with Yukawa interaction | v2, 24pp, 7 figs; Added references and discussion, results unchanged;
Accepted in EPJC | null | 10.1140/epjc/s10052-023-11357-6 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have studied the decoherence mechanism in a fermion and scalar quantum
field theory with the Yukawa interaction in the Minkowski spacetime, using the
non-equilibrium effective field theory formalism appropriate for open systems.
The scalar field is treated as the system whereas the fermions as the
environment. As the simplest realistic scenario, we assume that an observer
measures only the Gaussian 2-point correlator for the scalar field. The cause
of decoherence and the subsequent entropy generation is the ignorance of
information stored in higher-order correlators, Gaussian and non-Gaussian, of
the system and the surrounding. Using the 2-loop 2-particle irreducible
effective action, we construct the renormalised Kadanoff-Baym equations, i.e.,
the equation of motion satisfied by the 2-point correlators in the
Schwinger-Keldysh formalism. These equations contain the non-local self-energy
corrections. We then compute the statistical propagator in terms of the 2-point
functions. Using the relationship of the statistical propagator with the phase
space area, we next compute the von Neumann entropy for the system. We have
obtained the variation of the entropy with respect to various relevant
parameters. We also discuss the qualitative similarities and differences of our
results with the scenario when both the system and the environment are scalar
fields.
| [
{
"created": "Thu, 30 Jun 2022 06:18:29 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Feb 2023 06:00:47 GMT",
"version": "v2"
}
] | 2023-03-29 | [
[
"Bhattacharya",
"Sourav",
""
],
[
"Joshi",
"Nitin",
""
],
[
"Kaushal",
"Shagun",
""
]
] | We have studied the decoherence mechanism in a fermion and scalar quantum field theory with the Yukawa interaction in the Minkowski spacetime, using the non-equilibrium effective field theory formalism appropriate for open systems. The scalar field is treated as the system whereas the fermions as the environment. As the simplest realistic scenario, we assume that an observer measures only the Gaussian 2-point correlator for the scalar field. The cause of decoherence and the subsequent entropy generation is the ignorance of information stored in higher-order correlators, Gaussian and non-Gaussian, of the system and the surrounding. Using the 2-loop 2-particle irreducible effective action, we construct the renormalised Kadanoff-Baym equations, i.e., the equation of motion satisfied by the 2-point correlators in the Schwinger-Keldysh formalism. These equations contain the non-local self-energy corrections. We then compute the statistical propagator in terms of the 2-point functions. Using the relationship of the statistical propagator with the phase space area, we next compute the von Neumann entropy for the system. We have obtained the variation of the entropy with respect to various relevant parameters. We also discuss the qualitative similarities and differences of our results with the scenario when both the system and the environment are scalar fields. |
1809.10757 | Keita Nii | Keita Nii | Duality and Confinement in 3d $\mathcal{N}=2$ "chiral" $SU(N)$ gauge
theories | Appendix added, discussions added, references added | null | 10.1016/j.nuclphysb.2019.01.003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study low-energy dynamics of three-dimensional $\mathcal{N}=2$ $SU(N)$
"chiral" gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental
matters without a Chern-Simons term. Compared to a naive semi-classical
analysis of the Coulomb branch, its quantum structure is highly richer than
expected due to so-called "dressed" Coulomb branch (monopole) operators. We
propose dualities and confinement phases for the "chiral" $SU(N)$ theories. The
theories with $N>F > \bar{F}$ exhibit spontaneous supersymmetry breaking. The
very many Coulomb branch operators generally remain exactly massless and are
non-trivially mapped under the dualities. Some dualities lead to a novel
duality between $SU(N)$ and $USp(2 \tilde{N})$ theories. For the 3d
$\mathcal{N}=2$ $SU(2)$ gauge theory with $2F$ doublets, there are generally
$F+2$ "chiral" and "non-chiral" dual descriptions.
| [
{
"created": "Thu, 27 Sep 2018 20:44:28 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Nov 2018 17:24:00 GMT",
"version": "v2"
}
] | 2019-02-20 | [
[
"Nii",
"Keita",
""
]
] | We study low-energy dynamics of three-dimensional $\mathcal{N}=2$ $SU(N)$ "chiral" gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental matters without a Chern-Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called "dressed" Coulomb branch (monopole) operators. We propose dualities and confinement phases for the "chiral" $SU(N)$ theories. The theories with $N>F > \bar{F}$ exhibit spontaneous supersymmetry breaking. The very many Coulomb branch operators generally remain exactly massless and are non-trivially mapped under the dualities. Some dualities lead to a novel duality between $SU(N)$ and $USp(2 \tilde{N})$ theories. For the 3d $\mathcal{N}=2$ $SU(2)$ gauge theory with $2F$ doublets, there are generally $F+2$ "chiral" and "non-chiral" dual descriptions. |
0809.4464 | Yidun Wan | Yidun Wan | Effective Theory of Braid Excitations of Quantum Geometry in terms of
Feynman Diagrams | 23 pages, 7 figures. Accepted by Nucl. Phys. B | Nucl.Phys.B814:1-20,2009 | 10.1016/j.nuclphysb.2008.10.025 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study interactions amongst topologically conserved excitations of quantum
theories of gravity, in particular the braid excitations of four-valent spin
networks. These have been shown previously to propagate and interact under
evolution rules of spin foam models. We show that the dynamics of these braid
excitations can be described by an effective theory based on Feynman diagrams.
In this language, braids which are actively interacting are analogous to
bosons, in that the topological conservation laws permit them to be singly
created and destroyed. Exchanges of these excitations give rise to interactions
between braids which are charged under the topological conservation rules.
| [
{
"created": "Thu, 25 Sep 2008 17:57:39 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jan 2009 14:59:05 GMT",
"version": "v2"
}
] | 2009-03-24 | [
[
"Wan",
"Yidun",
""
]
] | We study interactions amongst topologically conserved excitations of quantum theories of gravity, in particular the braid excitations of four-valent spin networks. These have been shown previously to propagate and interact under evolution rules of spin foam models. We show that the dynamics of these braid excitations can be described by an effective theory based on Feynman diagrams. In this language, braids which are actively interacting are analogous to bosons, in that the topological conservation laws permit them to be singly created and destroyed. Exchanges of these excitations give rise to interactions between braids which are charged under the topological conservation rules. |
hep-th/9307118 | D. V. Ahluwalia | D.V. Ahluwalia, T. Goldman and M.B. Johnson | Majorana-Like (j,0)+(0,j) Representation Spaces: Construction and
Physical Interpretation | Replaced because some people were having trouble TeXing the old
version. No changes implemented | Mod.Phys.Lett.A9:439-450,1994 | 10.1142/S0217732394000460 | LA-UR-93-2645 | hep-th hep-ph | null | We present a formalism that extends the Majorana-construction to arbitrary
spin (j,0)+(0,j) representation spaces. For the example case of spin-1, a wave
equation satisfied by the Majorana-like (1,0)+(0,1) spinors is constructed and
its physical content explored. The (j,0)+(0,j) Majorana-construct is found to
possess an unusual classical and quantum field theoretic structure. Relevance
of our formalism to parity violation, hadronic phenomenologies, and grand
unified field theories is briefly pointed out.
| [
{
"created": "Mon, 19 Jul 1993 17:11:29 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Apr 2004 17:40:56 GMT",
"version": "v2"
}
] | 2009-09-25 | [
[
"Ahluwalia",
"D. V.",
""
],
[
"Goldman",
"T.",
""
],
[
"Johnson",
"M. B.",
""
]
] | We present a formalism that extends the Majorana-construction to arbitrary spin (j,0)+(0,j) representation spaces. For the example case of spin-1, a wave equation satisfied by the Majorana-like (1,0)+(0,1) spinors is constructed and its physical content explored. The (j,0)+(0,j) Majorana-construct is found to possess an unusual classical and quantum field theoretic structure. Relevance of our formalism to parity violation, hadronic phenomenologies, and grand unified field theories is briefly pointed out. |
1504.07201 | V. Parameswaran Nair | Abhishek Agarwal and V.P. Nair | Fermions, Mass-Gap and Landau Levels: Gauge invariant Hamiltonian for
QCD in D=2+1 | 25 pages | null | null | CCNY-HEP 15/2 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A gauge-invariant reformulation of QCD in three spacetime dimensions is
presented within a Hamiltonian formalism, extending previous work to include
fermion fields in the adjoint and fundamental representations. A priori there
are several ways to define the gauge-invariant versions of the fermions; a
consistent prescription for choosing the fermionic variables is presented. The
fermionic contribution to the volume element of the gauge orbit space and the
gluonic mass-gap is computed exactly and this contribution is shown to be
closely related to the mechanism for induction of Chern-Simons terms by
parity-odd fermions. The consistency of the Hamiltonian scheme with known
results on index theorems, Landau Levels and renormalization of Chern-Simons
level numbers is shown in detail. We also comment on the fermionic contribution
to the volume element in relation to issues of confinement and screening.
| [
{
"created": "Mon, 27 Apr 2015 18:44:05 GMT",
"version": "v1"
}
] | 2015-04-28 | [
[
"Agarwal",
"Abhishek",
""
],
[
"Nair",
"V. P.",
""
]
] | A gauge-invariant reformulation of QCD in three spacetime dimensions is presented within a Hamiltonian formalism, extending previous work to include fermion fields in the adjoint and fundamental representations. A priori there are several ways to define the gauge-invariant versions of the fermions; a consistent prescription for choosing the fermionic variables is presented. The fermionic contribution to the volume element of the gauge orbit space and the gluonic mass-gap is computed exactly and this contribution is shown to be closely related to the mechanism for induction of Chern-Simons terms by parity-odd fermions. The consistency of the Hamiltonian scheme with known results on index theorems, Landau Levels and renormalization of Chern-Simons level numbers is shown in detail. We also comment on the fermionic contribution to the volume element in relation to issues of confinement and screening. |
1605.04335 | Netta Engelhardt | Netta Engelhardt and Gary T. Horowitz | New Insights into Quantum Gravity from Gauge/gravity Duality | 7 pages, 3 figures. Awarded second prize in the 2016 Gravity Research
Foundation Essay Contest; v2: comment added | Int.J.Mod.Phys. D25 (2016) no.12, 1643002 | 10.1142/S0218271816430021 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using gauge/gravity duality, we deduce several nontrivial consequences of
quantum gravity from simple properties of the dual field theory. These include:
(1) a version of cosmic censorship, (2) restrictions on evolution through black
hole singularities, and (3) the exclusion of certain cosmological bounces. In
the classical limit, the latter implies a new singularity theorem.
| [
{
"created": "Fri, 13 May 2016 21:24:44 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Jun 2016 22:19:19 GMT",
"version": "v2"
}
] | 2017-07-26 | [
[
"Engelhardt",
"Netta",
""
],
[
"Horowitz",
"Gary T.",
""
]
] | Using gauge/gravity duality, we deduce several nontrivial consequences of quantum gravity from simple properties of the dual field theory. These include: (1) a version of cosmic censorship, (2) restrictions on evolution through black hole singularities, and (3) the exclusion of certain cosmological bounces. In the classical limit, the latter implies a new singularity theorem. |
hep-th/0306130 | Arkady Tseytlin | S. Frolov, A.A. Tseytlin | Quantizing three-spin string solution in AdS_5 x S^5 | 25 pages, harvmac. v5: minor misprints in eqs
(2.6),(2.16),(2.20),(2.21) corrected | JHEP 0307:016,2003 | 10.1088/1126-6708/2003/07/016 | null | hep-th | null | As was recently found in hep-th/0304255, there exists a simple
non-supersymmetric classical solution describing a closed string rotating in
S^5 and located at the center of AdS_5. It is parametrized by the angular
momentum J of the center of mass and two equal SO(6) angular momenta J' in the
two other orthogonal rotation planes. The dual N=4 SYM operators should be
scalar operators in SU(4) representations [0,J-J',2J'] or [J'-J,0,J'+J]. This
solution is stable if J' > 3/2 J and for large J + 2 J' its classical energy
admits an expansion in positive powers of g_eff = \lambda/(J + 2 J')^2: E= J +
2 J' + g_eff J' + ... . This suggests a possibility of a direct comparison with
perturbative SYM results for the corresponding anomalous dimensions in the
sector with g_eff << 1, by analogy with the BMN case. We conjecture that all
quantum sigma model string corrections are then subleading at large J', so that
the classical formula for the energy is effectively exact to all orders in
\lambda. It could then be interpolated to weak coupling, representing a
prediction for the anomalous dimensions on the SYM side. We test this
conjecture by computing the 1-loop superstring sigma model correction to the
classical energy.
| [
{
"created": "Fri, 13 Jun 2003 19:33:05 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2003 16:05:52 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Oct 2003 17:40:55 GMT",
"version": "v3"
},
{
"created": "Tue, 28 Oct 2003 16:14:05 GMT",
"version": "v4"
},
{
"created": "Sat, 1 May 2004 14:43:24 GMT",
"version": "v5"
}
] | 2009-11-10 | [
[
"Frolov",
"S.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | As was recently found in hep-th/0304255, there exists a simple non-supersymmetric classical solution describing a closed string rotating in S^5 and located at the center of AdS_5. It is parametrized by the angular momentum J of the center of mass and two equal SO(6) angular momenta J' in the two other orthogonal rotation planes. The dual N=4 SYM operators should be scalar operators in SU(4) representations [0,J-J',2J'] or [J'-J,0,J'+J]. This solution is stable if J' > 3/2 J and for large J + 2 J' its classical energy admits an expansion in positive powers of g_eff = \lambda/(J + 2 J')^2: E= J + 2 J' + g_eff J' + ... . This suggests a possibility of a direct comparison with perturbative SYM results for the corresponding anomalous dimensions in the sector with g_eff << 1, by analogy with the BMN case. We conjecture that all quantum sigma model string corrections are then subleading at large J', so that the classical formula for the energy is effectively exact to all orders in \lambda. It could then be interpolated to weak coupling, representing a prediction for the anomalous dimensions on the SYM side. We test this conjecture by computing the 1-loop superstring sigma model correction to the classical energy. |
1103.2738 | Tomas Ortin | Tomas Ortin | A Simple Derivation of Supersymmetric Extremal Black Hole Attractors | 9 pages, latex2e file, no figures. Several references added | null | 10.1016/j.physletb.2011.05.012 | IFT-UAM/CSIC-10-40 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a simple and yet rigorous derivation of the flow equations for the
supersymmetric black-hole solutions of all 4-dimensional supergravities based
on the recently found general form of all those solutions.
| [
{
"created": "Mon, 14 Mar 2011 18:47:57 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2011 15:23:03 GMT",
"version": "v2"
}
] | 2011-05-25 | [
[
"Ortin",
"Tomas",
""
]
] | We present a simple and yet rigorous derivation of the flow equations for the supersymmetric black-hole solutions of all 4-dimensional supergravities based on the recently found general form of all those solutions. |
hep-th/0002249 | Dario Martelli | Dario Martelli | AdS/CFT Correspondence and Type 0 String Theory | 6 pages, LaTeX + JHEP.cls, talk presented at the TMR conference
``Quantum aspects of gauge theories, supersymmetry and unification'', Paris,
September 1-7, 1999 | null | null | null | hep-th | null | We review some applications of Type 0 string theory in the context of the
AdS/CFT correspondence.
| [
{
"created": "Tue, 29 Feb 2000 12:44:49 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Martelli",
"Dario",
""
]
] | We review some applications of Type 0 string theory in the context of the AdS/CFT correspondence. |
2101.06952 | Anatoly Kotikov Vassilievich | A.V. Kotikov and S. Teber | Landau-Khalatnikov-Fradkin Transformation and Even zeta Functions | 5 pages; contribution to the proceedings of the Session-Conference of
Nuclear Physics Section at the Department of Physical Sciences, Russian
Academy of Sciences (March 10-12, 2020; Novosibirsk, Russia); based on
arXiv:1906.10930 and arXiv:1912.10957 | null | 10.1134/S1063778820060198 | null | hep-th | http://creativecommons.org/publicdomain/zero/1.0/ | An exact formula that relates standard zeta functions and so-called hatted
zeta functions in all orders of perturbation theory is presented. This formula
is based on the Landau-Khalatnikov-Fradkin transformation
| [
{
"created": "Mon, 18 Jan 2021 09:27:52 GMT",
"version": "v1"
}
] | 2021-04-28 | [
[
"Kotikov",
"A. V.",
""
],
[
"Teber",
"S.",
""
]
] | An exact formula that relates standard zeta functions and so-called hatted zeta functions in all orders of perturbation theory is presented. This formula is based on the Landau-Khalatnikov-Fradkin transformation |
1708.01328 | Yoshiki Sato | Andreas Karch, Yoshiki Sato | Boundary Holographic Witten Diagrams | 28 pages, 4 figures, v2:included hypergeometric identities for
generic no-brane case, references added, v3:published version | null | 10.1007/JHEP09(2017)121 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we discuss geodesic Witten diagrams in generic holographic
conformal field theories with boundary or defect. Boundary CFTs allow two
different decompositions of two-point functions into conformal blocks: boundary
channel and ambient channel. Building on earlier work, we derive a holographic
dual of the boundary channel decomposition in terms of bulk-to-bulk propagators
on lower dimensional AdS slices. In the situation in which we can treat the
boundary or defect as a perturbation around pure AdS spacetime, we obtain the
leading corrections to the two-point function both in boundary and ambient
channel in terms of geodesic Witten diagrams which exactly reproduce the
decomposition into corresponding conformal blocks on the field theory side.
| [
{
"created": "Thu, 3 Aug 2017 22:57:31 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2017 02:28:39 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Oct 2017 17:25:40 GMT",
"version": "v3"
}
] | 2017-10-25 | [
[
"Karch",
"Andreas",
""
],
[
"Sato",
"Yoshiki",
""
]
] | In this paper we discuss geodesic Witten diagrams in generic holographic conformal field theories with boundary or defect. Boundary CFTs allow two different decompositions of two-point functions into conformal blocks: boundary channel and ambient channel. Building on earlier work, we derive a holographic dual of the boundary channel decomposition in terms of bulk-to-bulk propagators on lower dimensional AdS slices. In the situation in which we can treat the boundary or defect as a perturbation around pure AdS spacetime, we obtain the leading corrections to the two-point function both in boundary and ambient channel in terms of geodesic Witten diagrams which exactly reproduce the decomposition into corresponding conformal blocks on the field theory side. |
hep-th/0511298 | Joshua Davis | Joshua L. Davis | The Moduli Space and Phase Structure of Heterotic Strings in Two
Dimensions | 23 pages, 1 figure, harvmac.tex; v2: minor changes to introduction,
version to be published in Phys. Rev. D | Phys.Rev.D74:026004,2006 | 10.1103/PhysRevD.74.026004 | null | hep-th | null | We explore the moduli space of heterotic strings in two dimensions. In doing
so, we introduce new lines of compactified theories with Spin(24) gauge
symmetry and discuss compactifications with Wilson lines. The phase structure
of d=2 heterotic string theory is examined by classifying the hypersurfaces in
moduli space which support massless quanta or discrete states. Finally, we
compute the torus amplitude over much of the moduli space.
| [
{
"created": "Tue, 29 Nov 2005 22:34:00 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Jun 2006 14:05:46 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Davis",
"Joshua L.",
""
]
] | We explore the moduli space of heterotic strings in two dimensions. In doing so, we introduce new lines of compactified theories with Spin(24) gauge symmetry and discuss compactifications with Wilson lines. The phase structure of d=2 heterotic string theory is examined by classifying the hypersurfaces in moduli space which support massless quanta or discrete states. Finally, we compute the torus amplitude over much of the moduli space. |
hep-th/0109177 | Jaume Gomis | Jaume Gomis and Jorge G. Russo | D=2+1 N=2 Yang-Mills Theory From Wrapped Branes | 19 pages, 1figure, harvmac; expanded analysis of D=4 N=2 system in
the appendix, references added | JHEP 0110 (2001) 028 | 10.1088/1126-6708/2001/10/028 | null | hep-th | null | We find a new solution of Type IIB supergravity which represents a collection
of D5 branes wrapped on the topologically non-trivial S^3 of the deformed
conifold geometry T^*S^3. The Type IIB solution is obtained by lifting a new
solution of D=7 SU(2)_L x SU(2)_R gauged supergravity to ten dimensions in
which SU(2)_D gauge fields in the diagonal subgroup are turned on. The
supergravity solution describes a slice of the Coulomb branch in the large N
limit of N=2 SYM in three dimensions.
| [
{
"created": "Fri, 21 Sep 2001 23:43:55 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2001 01:03:28 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gomis",
"Jaume",
""
],
[
"Russo",
"Jorge G.",
""
]
] | We find a new solution of Type IIB supergravity which represents a collection of D5 branes wrapped on the topologically non-trivial S^3 of the deformed conifold geometry T^*S^3. The Type IIB solution is obtained by lifting a new solution of D=7 SU(2)_L x SU(2)_R gauged supergravity to ten dimensions in which SU(2)_D gauge fields in the diagonal subgroup are turned on. The supergravity solution describes a slice of the Coulomb branch in the large N limit of N=2 SYM in three dimensions. |
1802.02457 | Marcus Khuri | Marcus Khuri, Gilbert Weinstein, Sumio Yamada | Asymptotically Locally Euclidean/Kaluza-Klein Stationary Vacuum Black
Holes in 5 Dimensions | 11 pages | PTEP. Prog. Theor. Exp. Phys., 2018, no. 5, 053E01, 13pp | 10.1093/ptep/pty052 | null | hep-th gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We produce new examples, both explicit and analytical, of bi-axisymmetric
stationary vacuum black holes in 5 dimensions. A novel feature of these
solutions is that they are asymptotically locally Euclidean in which spatial
cross-sections at infinity have lens space $L(p,q)$ topology, or asymptotically
Kaluza-Klein so that spatial cross-sections at infinity are topologically
$S^1\times S^2$. These are nondegenerate black holes of cohomogeneity 2, with
any number of horizon components, where the horizon cross-section topology is
any one of the three admissible types: $S^3$, $S^1\times S^2$, or $L(p,q)$.
Uniqueness of these solutions is also established. Our method is to solve the
relevant harmonic map problem with prescribed singularities, having target
symmetric space $SL(3,\mathbb{R})/SO(3)$. In addition, we analyze the
possibility of conical singularities and find a large family for which
geometric regularity is guaranteed.
| [
{
"created": "Wed, 7 Feb 2018 15:00:17 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2022 19:38:35 GMT",
"version": "v2"
}
] | 2022-02-01 | [
[
"Khuri",
"Marcus",
""
],
[
"Weinstein",
"Gilbert",
""
],
[
"Yamada",
"Sumio",
""
]
] | We produce new examples, both explicit and analytical, of bi-axisymmetric stationary vacuum black holes in 5 dimensions. A novel feature of these solutions is that they are asymptotically locally Euclidean in which spatial cross-sections at infinity have lens space $L(p,q)$ topology, or asymptotically Kaluza-Klein so that spatial cross-sections at infinity are topologically $S^1\times S^2$. These are nondegenerate black holes of cohomogeneity 2, with any number of horizon components, where the horizon cross-section topology is any one of the three admissible types: $S^3$, $S^1\times S^2$, or $L(p,q)$. Uniqueness of these solutions is also established. Our method is to solve the relevant harmonic map problem with prescribed singularities, having target symmetric space $SL(3,\mathbb{R})/SO(3)$. In addition, we analyze the possibility of conical singularities and find a large family for which geometric regularity is guaranteed. |
hep-th/0211242 | Michael Duetsch | Michael Duetsch, Klaus Fredenhagen | The Master Ward Identity and Generalized Schwinger-Dyson Equation in
Classical Field Theory | 56 pages. to appear in Commun. Math. Phys | Commun.Math.Phys. 243 (2003) 275-314 | 10.1007/s00220-003-0968-4 | DESY 02-211, ESI: 1246 | hep-th | null | In the framework of perturbative quantum field theory a new, universal
renormalization condition (called Master Ward Identity) was recently proposed
by one of us (M.D.) in a joint paper with F.-M. Boas. The main aim of the
present paper is to get a better understanding of the Master Ward Identity by
analyzing its meaning in classical field theory. It turns out that it is the
most general identity for classical local fields which follows from the field
equations. It is equivalent to a generalization of the Schwinger-Dyson Equation
and is closely related to the Quantum Action Principle of Lowenstein and Lam.
As a byproduct we give a self-contained treatment of Peierls' manifestly
covariant definition of the Poisson bracket.
| [
{
"created": "Mon, 25 Nov 2002 15:25:04 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Jun 2003 12:58:33 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Duetsch",
"Michael",
""
],
[
"Fredenhagen",
"Klaus",
""
]
] | In the framework of perturbative quantum field theory a new, universal renormalization condition (called Master Ward Identity) was recently proposed by one of us (M.D.) in a joint paper with F.-M. Boas. The main aim of the present paper is to get a better understanding of the Master Ward Identity by analyzing its meaning in classical field theory. It turns out that it is the most general identity for classical local fields which follows from the field equations. It is equivalent to a generalization of the Schwinger-Dyson Equation and is closely related to the Quantum Action Principle of Lowenstein and Lam. As a byproduct we give a self-contained treatment of Peierls' manifestly covariant definition of the Poisson bracket. |
1106.4978 | Alexander Krikun | P. N. Kopnin, A. Krikun | Wilson loops in holographic models with a gluon condensate | 24 pages, 6 figures | null | 10.1103/PhysRevD.84.066002 | ITEP-TH-19/11 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this work is to study the holographic dual to the gauge theory
with a nonzero gluon condensate. We check for consistency the holographic way
of describing the condensate and calculate the expectation value of a small
Wilson loop in the presence of the gluon condensate, thus obtaining the
relevant coefficient in the operator product expansion of the small loop in
different holographic models. We also study the effect of the condensate on the
Gross-Ooguri phase transition in the correlator of two circular Wilson loops in
parallel and concentric configurations. In the numerical study of the
concentric case, we find that the phase transition changes its order when the
size of the loops is of order of the gluon condensate. We report this change of
the phase transition order to be a new effect in Wilson loop correlators.
| [
{
"created": "Fri, 24 Jun 2011 14:30:25 GMT",
"version": "v1"
}
] | 2013-05-29 | [
[
"Kopnin",
"P. N.",
""
],
[
"Krikun",
"A.",
""
]
] | The aim of this work is to study the holographic dual to the gauge theory with a nonzero gluon condensate. We check for consistency the holographic way of describing the condensate and calculate the expectation value of a small Wilson loop in the presence of the gluon condensate, thus obtaining the relevant coefficient in the operator product expansion of the small loop in different holographic models. We also study the effect of the condensate on the Gross-Ooguri phase transition in the correlator of two circular Wilson loops in parallel and concentric configurations. In the numerical study of the concentric case, we find that the phase transition changes its order when the size of the loops is of order of the gluon condensate. We report this change of the phase transition order to be a new effect in Wilson loop correlators. |
hep-th/9806064 | Luigi Pilo | Luigi Pilo (DAMTP, University of Cambridge) | Chern-Simons field theory and invariants of 3-manifolds | Latex file, 186 pages, 83 eps figures. PhD thesis, November 1997,
Scuola Normale Superiore, Pisa, Italy | null | null | null | hep-th math.QA | null | The Chern-Simons (CS) theory in three dimensions with a compact gauge group G
is studied. Starting from the BRST quantization of the theory defined in R^3,
the values of gauge invariants observables are computed in any closed and
orientable three manifold M by constructing a surgery operator associated with
a Dehn's surgery presentation of M. We have given the general rules to find the
reduced tensor algebra whose elements give the physical inequivalent quantum
numbers that characterize uniquely the CS observables. Some general properties
of the reduced tensor algebra and of the surgery operator are studied. Many
examples of the general construction are given in the case of G=SU(2) and
G=SU(3), in particular the expectation value of a Wilson line associated with
the unknot and the Hopf link in R^3(S^3) is computed for any irreducible
representation of the gauge group. The relation of the topological invariant
I(M), defined as a suitable modified partition function of the CS theory in M,
and the fundamental group of M is studied. Finally, the relationship between CS
theory and WZWN model in two dimensions is exploited to derive from a full
three-dimensional point of view some classical results in conformal field
theory.
| [
{
"created": "Mon, 8 Jun 1998 16:12:49 GMT",
"version": "v1"
}
] | 2009-09-25 | [
[
"Pilo",
"Luigi",
"",
"DAMTP, University of Cambridge"
]
] | The Chern-Simons (CS) theory in three dimensions with a compact gauge group G is studied. Starting from the BRST quantization of the theory defined in R^3, the values of gauge invariants observables are computed in any closed and orientable three manifold M by constructing a surgery operator associated with a Dehn's surgery presentation of M. We have given the general rules to find the reduced tensor algebra whose elements give the physical inequivalent quantum numbers that characterize uniquely the CS observables. Some general properties of the reduced tensor algebra and of the surgery operator are studied. Many examples of the general construction are given in the case of G=SU(2) and G=SU(3), in particular the expectation value of a Wilson line associated with the unknot and the Hopf link in R^3(S^3) is computed for any irreducible representation of the gauge group. The relation of the topological invariant I(M), defined as a suitable modified partition function of the CS theory in M, and the fundamental group of M is studied. Finally, the relationship between CS theory and WZWN model in two dimensions is exploited to derive from a full three-dimensional point of view some classical results in conformal field theory. |
1706.01881 | Mikhail Krivoruchenko | M. I. Krivoruchenko | Superposition principle and Kirchhoff's integral theorem | 24 pages, Extended notes of a lecture delivered to students of Moscow
Institute of Physics and Technology | null | null | null | hep-th math.HO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The need for modification of the Huygens-Fresnel superposition principle
arises even in the description of the free fields of massive particles and,
more extensively, in nonlinear field theories. A wide range of formulations and
superposition schemes for secondary waves are captured by Kirchhoff's integral
theorem. We discuss various versions of this theorem as well as its connection
with the superposition principle and the method of Green's functions. A
superposition scheme inherent in linear field theories, which is not based on
Kirchhoff's integral theorem but instead relies on the completeness condition,
is also discussed.
| [
{
"created": "Tue, 6 Jun 2017 17:15:49 GMT",
"version": "v1"
}
] | 2017-06-08 | [
[
"Krivoruchenko",
"M. I.",
""
]
] | The need for modification of the Huygens-Fresnel superposition principle arises even in the description of the free fields of massive particles and, more extensively, in nonlinear field theories. A wide range of formulations and superposition schemes for secondary waves are captured by Kirchhoff's integral theorem. We discuss various versions of this theorem as well as its connection with the superposition principle and the method of Green's functions. A superposition scheme inherent in linear field theories, which is not based on Kirchhoff's integral theorem but instead relies on the completeness condition, is also discussed. |
hep-th/9702043 | Ramy Brustein | Ram Brustein, Richard Madden | Graceful Exit and Energy Conditions in String Cosmology | 16 pages, 2 eps figures, Latex | Phys.Lett. B410 (1997) 110-118 | 10.1016/S0370-2693(97)00945-3 | BGU-PH-97/06 | hep-th gr-qc | null | String cosmology solutions are examined in a generalized phase-space
including sources representing arbitrary corrections to lowest order
string-dilaton-gravity effective action. We find a set of necessary conditions
for a graceful exit transition from a dilaton-driven inflationary phase to a
radiation dominated era. We show that sources allowing such a transition have
to violate energy conditions similar to those appearing in singularity theorems
of general relativity. Since familiar classical sources, excepting spatial
curvature, obey these energy conditions we conclude that a generic graceful
exit in string cosmology requires a new effective phase of matter. Our results
clarify and generalize previous analyses and enable us to critically reexamine
proposed non-singular cosmologies.
| [
{
"created": "Wed, 5 Feb 1997 14:20:25 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Brustein",
"Ram",
""
],
[
"Madden",
"Richard",
""
]
] | String cosmology solutions are examined in a generalized phase-space including sources representing arbitrary corrections to lowest order string-dilaton-gravity effective action. We find a set of necessary conditions for a graceful exit transition from a dilaton-driven inflationary phase to a radiation dominated era. We show that sources allowing such a transition have to violate energy conditions similar to those appearing in singularity theorems of general relativity. Since familiar classical sources, excepting spatial curvature, obey these energy conditions we conclude that a generic graceful exit in string cosmology requires a new effective phase of matter. Our results clarify and generalize previous analyses and enable us to critically reexamine proposed non-singular cosmologies. |
2112.11253 | Omkar Nippanikar | Omkar Vinayak Nippanikar, Aditya Sharma and K. P. Yogendran | The BTZ black hole spectrum and partition function | 32 pages, one figure; this version: typos fixed, keywords added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this article, we revisit the spectrum of the Lorentzian BTZ black hole
conformal field theory. Building on a detailed analysis of geodesics, we
identify a complete set of states for the harmonic analysis. We then
demonstrate that the CFT spectrum is, plausibly, that of $AdS_3$ by rewriting
the partition function of the latter CFT.
| [
{
"created": "Tue, 21 Dec 2021 14:27:52 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Jan 2022 14:52:30 GMT",
"version": "v2"
}
] | 2022-01-11 | [
[
"Nippanikar",
"Omkar Vinayak",
""
],
[
"Sharma",
"Aditya",
""
],
[
"Yogendran",
"K. P.",
""
]
] | In this article, we revisit the spectrum of the Lorentzian BTZ black hole conformal field theory. Building on a detailed analysis of geodesics, we identify a complete set of states for the harmonic analysis. We then demonstrate that the CFT spectrum is, plausibly, that of $AdS_3$ by rewriting the partition function of the latter CFT. |
hep-th/0312305 | Alessandra Agostini | Alessandra Agostini | Fields and symmetries in $\kappa$-Minkowski noncommutative spacetime | 137 pages in LaTeX, PhD Thesis | null | null | null | hep-th | null | We have investigated some issues relevant for the possibility to construct
physical theories on the $\kappa$-Minkowski noncommutative spacetime. The
notion of field in $\kappa$-Minkowski has been introduced by generalizing the
Weyl system/map formalism and a comparative study of the star products arising
from this generalization has been done. A line of analysis of the symmetries of
$\kappa$-Minkowski has been proposed that relies on the possibility to find a
"maximally"-symmetric action which is invariant under a 10-generator
Poincar\'e-like symmetry algebra. The equation of motion for scalar particles
has been obtained by a generalized variational principle. An extension of the
Dirac equation for spin-1/2 particles has been proposed by using a
five-dimensional differential calculus on $\kappa$-Minkowski.
| [
{
"created": "Mon, 29 Dec 2003 19:08:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Agostini",
"Alessandra",
""
]
] | We have investigated some issues relevant for the possibility to construct physical theories on the $\kappa$-Minkowski noncommutative spacetime. The notion of field in $\kappa$-Minkowski has been introduced by generalizing the Weyl system/map formalism and a comparative study of the star products arising from this generalization has been done. A line of analysis of the symmetries of $\kappa$-Minkowski has been proposed that relies on the possibility to find a "maximally"-symmetric action which is invariant under a 10-generator Poincar\'e-like symmetry algebra. The equation of motion for scalar particles has been obtained by a generalized variational principle. An extension of the Dirac equation for spin-1/2 particles has been proposed by using a five-dimensional differential calculus on $\kappa$-Minkowski. |
hep-th/0401009 | Dimitri Polyakov | Dimitri Polyakov | Conformal Moduli and b-c Pictures for NSR Strings | 22 pages, references added | Int.J.Mod.Phys. A20 (2005) 4001-4020 | 10.1142/S0217751X05024274 | null | hep-th | null | We explore the geometry of the superconformal moduli of the NSR superstring
theory in order to construct the consistent sigma-model for the NSR strings,
free of picture-changing ambiguities. The sigma-model generating functional is
constructed by the integration over the bosonic and anticommuting moduli,
corresponding to insertions of the vertex operators in scattering amplitudes.
In particular, the integration over the bosonic moduli results in the
appearance of picture-changing operators for the b-c system. Important example
of the b-c pictures involves the unintegrated and integrated forms of the
vertex operators. We derive the BRST-invariant expressions for the b-c
picture-changing operators for open and closed strings and study some of their
properties. We also show that the superconformal moduli spaces of the NSR
superstring theory contain the global singularities, leading to the appearance
of non-perturbative solitonic D-brane creation operators.
| [
{
"created": "Sat, 3 Jan 2004 19:26:19 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jan 2004 21:36:35 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jan 2005 11:06:29 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Polyakov",
"Dimitri",
""
]
] | We explore the geometry of the superconformal moduli of the NSR superstring theory in order to construct the consistent sigma-model for the NSR strings, free of picture-changing ambiguities. The sigma-model generating functional is constructed by the integration over the bosonic and anticommuting moduli, corresponding to insertions of the vertex operators in scattering amplitudes. In particular, the integration over the bosonic moduli results in the appearance of picture-changing operators for the b-c system. Important example of the b-c pictures involves the unintegrated and integrated forms of the vertex operators. We derive the BRST-invariant expressions for the b-c picture-changing operators for open and closed strings and study some of their properties. We also show that the superconformal moduli spaces of the NSR superstring theory contain the global singularities, leading to the appearance of non-perturbative solitonic D-brane creation operators. |
2211.12555 | Yu-Ting Liu | Benjamin Basso, Lance J. Dixon, Yu-Ting Liu, Georgios Papathanasiou | An Origin Story for Amplitudes | 12 pages, 3 figures; v2, journal version | null | 10.1103/PhysRevLett.130.111602 | SLAC--PUB--17710, DESY-22-182 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify origin limits of maximally helicity violating multi-gluon
scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory, where
a large number of cross ratios approach zero, with the help of cluster
algebras. By analyzing existing perturbative data, and bootstrapping new data,
we provide evidence that the amplitudes become the exponential of a quadratic
polynomial in the large logarithms. With additional input from the
thermodynamic Bethe ansatz at strong coupling, we conjecture exact expressions
for amplitudes with up to 8 gluons in all origin limits. Our expressions are
governed by the tilted cusp anomalous dimension evaluated at various values of
the tilt angle.
| [
{
"created": "Tue, 22 Nov 2022 20:07:47 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Apr 2023 18:17:42 GMT",
"version": "v2"
}
] | 2023-04-12 | [
[
"Basso",
"Benjamin",
""
],
[
"Dixon",
"Lance J.",
""
],
[
"Liu",
"Yu-Ting",
""
],
[
"Papathanasiou",
"Georgios",
""
]
] | We classify origin limits of maximally helicity violating multi-gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory, where a large number of cross ratios approach zero, with the help of cluster algebras. By analyzing existing perturbative data, and bootstrapping new data, we provide evidence that the amplitudes become the exponential of a quadratic polynomial in the large logarithms. With additional input from the thermodynamic Bethe ansatz at strong coupling, we conjecture exact expressions for amplitudes with up to 8 gluons in all origin limits. Our expressions are governed by the tilted cusp anomalous dimension evaluated at various values of the tilt angle. |
hep-th/0610302 | Andreas Boukas | Luigi Accardi and Andreas Boukas | Renormalized Higher Powers of White Noise and the
Virasoro-Zamolodchikov-$w_\infty$ Algebra | 13 pages | Rept.Math.Phys.61:1-11,2008 | 10.1016/S0034-4877(08)00007-4 | null | hep-th | null | Recently (cf. \cite{ABIDAQP06} and \cite{ABIJMCS06}) L. Accardi and A. Boukas
proved that the generators of the second quantized
Virasoro--Zamolodchikov--$w_{\infty}$ algebra can be expressed in terms of the
Renormalized Higher Powers of White Noise and conjectured that this inclusion
might in fact be an identity, in the sense that the converse is also true. In
this paper we prove that this conjecture is true. We also explain the
difference between this result and the Boson representation of the Virasoro
algebra, which realizes, in the 1--mode case (in particular without
renormalization), an inclusion of this algebra into the full oscillator
algebra. This inclusion was known in the physical literature and some heuristic
results were obtained in the direction of the extension of this inclusion to
the 1--mode Virasoro--Zamolodchikov--$w_{\infty}$ algebra. However the
possibility of an identification of the second quantizations of these two
algebras was not even conjectured in the physics literature.
| [
{
"created": "Sat, 28 Oct 2006 07:28:45 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Accardi",
"Luigi",
""
],
[
"Boukas",
"Andreas",
""
]
] | Recently (cf. \cite{ABIDAQP06} and \cite{ABIJMCS06}) L. Accardi and A. Boukas proved that the generators of the second quantized Virasoro--Zamolodchikov--$w_{\infty}$ algebra can be expressed in terms of the Renormalized Higher Powers of White Noise and conjectured that this inclusion might in fact be an identity, in the sense that the converse is also true. In this paper we prove that this conjecture is true. We also explain the difference between this result and the Boson representation of the Virasoro algebra, which realizes, in the 1--mode case (in particular without renormalization), an inclusion of this algebra into the full oscillator algebra. This inclusion was known in the physical literature and some heuristic results were obtained in the direction of the extension of this inclusion to the 1--mode Virasoro--Zamolodchikov--$w_{\infty}$ algebra. However the possibility of an identification of the second quantizations of these two algebras was not even conjectured in the physics literature. |
2407.02096 | Rico Z\"ollner | Rico Z\"ollner and Burkhard K\"ampfer | Towards a warm holographic equation of state by an
Einstein-Maxwell-dilaton model | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The holographic Einstein-Maxwell-dilaton model is employed to map
state-of-the-art lattice QCD thermodynamics data from the temperature ($T$)
axis towards the baryon-chemical potential ($\mu_B$) axis aimed at gaining a
warm equation of state (EoS) of deconfined QCD matter which can be supplemented
with a cool and confined part suitable for subsequent compact (neutron) star
(merger) investigations. The model exhibits a critical end point (CEP) at
$T_\mathrm{CEP} = \mathcal{O}(100)$ MeV and $\mu_{B \, \mathrm{CEP}} = 500
\ldots 700$ MeV with emerging first-order phase transition (FOPT) curve which
extends to large values of $\mu_B$ without approaching the $\mu_B$ axis. We
consider the impact and peculiarities of the related phase structure on the EoS
for the employed dilaton potential and dynamical coupling parameterizations.
These seem to prevent to design an overall trustable EoS without recourse to
hybrid constructions.
| [
{
"created": "Tue, 2 Jul 2024 09:29:17 GMT",
"version": "v1"
}
] | 2024-07-03 | [
[
"Zöllner",
"Rico",
""
],
[
"Kämpfer",
"Burkhard",
""
]
] | The holographic Einstein-Maxwell-dilaton model is employed to map state-of-the-art lattice QCD thermodynamics data from the temperature ($T$) axis towards the baryon-chemical potential ($\mu_B$) axis aimed at gaining a warm equation of state (EoS) of deconfined QCD matter which can be supplemented with a cool and confined part suitable for subsequent compact (neutron) star (merger) investigations. The model exhibits a critical end point (CEP) at $T_\mathrm{CEP} = \mathcal{O}(100)$ MeV and $\mu_{B \, \mathrm{CEP}} = 500 \ldots 700$ MeV with emerging first-order phase transition (FOPT) curve which extends to large values of $\mu_B$ without approaching the $\mu_B$ axis. We consider the impact and peculiarities of the related phase structure on the EoS for the employed dilaton potential and dynamical coupling parameterizations. These seem to prevent to design an overall trustable EoS without recourse to hybrid constructions. |
0710.0423 | Norisuke Sakai | Norisuke Sakai, Minoru Eto, Toshiaki Fujimori, Takayuki Nagashima,
Muneto Nitta and Keisuke Ohashi | Effective Lagrangian of Domain Wall Networks | Submitted for the SUSY07 proceedings, 4 pages, LaTex, 4 eps figures | null | null | TIT/HEP-574 | hep-th | null | Domain wall networks are studied in N=2 supersymmetric U(N_C) gauge theory
with N_F (>N_C) flavors. We find a systematic method to construct domain wall
networks in terms of moduli matrices. Normalizable moduli parameters of the
network are found to be sizes and phases of the loop. We obtain moduli space
metric which specifies the effective Lagrangian on the domain wall networks. It
is used to study dynamics of domain wall networks with the moduli
approximation.
| [
{
"created": "Tue, 2 Oct 2007 01:25:20 GMT",
"version": "v1"
}
] | 2007-10-03 | [
[
"Sakai",
"Norisuke",
""
],
[
"Eto",
"Minoru",
""
],
[
"Fujimori",
"Toshiaki",
""
],
[
"Nagashima",
"Takayuki",
""
],
[
"Nitta",
"Muneto",
""
],
[
"Ohashi",
"Keisuke",
""
]
] | Domain wall networks are studied in N=2 supersymmetric U(N_C) gauge theory with N_F (>N_C) flavors. We find a systematic method to construct domain wall networks in terms of moduli matrices. Normalizable moduli parameters of the network are found to be sizes and phases of the loop. We obtain moduli space metric which specifies the effective Lagrangian on the domain wall networks. It is used to study dynamics of domain wall networks with the moduli approximation. |
hep-th/0407246 | Pawel Maslanka | Agnieszka Kijanka, Piotr Kosinski | On noncommutative isotropic harmonic oscillator | 8 pages, no figures | Phys.Rev. D70 (2004) 127702 | 10.1103/PhysRevD.70.127702 | null | hep-th | null | Energy spectrum of isotropic oscillator as a function of noncommutativity
parameter theta is studied. It is shown that for a dense set of values of theta
the spectrum is degenerated and the algebra responsible for degeneracy can be
always chosen to be sU(2). The generators of the algebra are constructed
explicitely.
| [
{
"created": "Wed, 28 Jul 2004 10:43:02 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kijanka",
"Agnieszka",
""
],
[
"Kosinski",
"Piotr",
""
]
] | Energy spectrum of isotropic oscillator as a function of noncommutativity parameter theta is studied. It is shown that for a dense set of values of theta the spectrum is degenerated and the algebra responsible for degeneracy can be always chosen to be sU(2). The generators of the algebra are constructed explicitely. |
2108.02068 | Felix Karbstein | Felix Karbstein | Derivative corrections to the Heisenberg-Euler effective action | 18 pages, no figure | JHEP 09 (2021) 070 | 10.1007/JHEP09(2021)070 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the leading derivative corrections to the Heisenberg-Euler
effective action can be determined efficiently from the vacuum polarization
tensor evaluated in a homogeneous constant background field. After deriving the
explicit parameter-integral representation for the leading derivative
corrections in generic electromagnetic fields at one loop, we specialize to the
cases of magnetic- and electric-like field configurations characterized by the
vanishing of one of the secular invariants of the electromagnetic field. In
these cases, closed-form results and the associated all-orders weak- and
strong-field expansions can be worked out. One immediate application is the
leading derivative correction to the renowned Schwinger-formula describing the
decay of the quantum vacuum via electron-positron pair production in
slowly-varying electric fields.
| [
{
"created": "Wed, 4 Aug 2021 13:51:55 GMT",
"version": "v1"
}
] | 2021-09-13 | [
[
"Karbstein",
"Felix",
""
]
] | We show that the leading derivative corrections to the Heisenberg-Euler effective action can be determined efficiently from the vacuum polarization tensor evaluated in a homogeneous constant background field. After deriving the explicit parameter-integral representation for the leading derivative corrections in generic electromagnetic fields at one loop, we specialize to the cases of magnetic- and electric-like field configurations characterized by the vanishing of one of the secular invariants of the electromagnetic field. In these cases, closed-form results and the associated all-orders weak- and strong-field expansions can be worked out. One immediate application is the leading derivative correction to the renowned Schwinger-formula describing the decay of the quantum vacuum via electron-positron pair production in slowly-varying electric fields. |
hep-th/0303239 | Mohammad Reza Garousi | Mohammad R. Garousi | Off-shell extension of S-matrix elements and tachyonic effective actions | Latex, 17 pages, v3:a paragraph comparing off-shell and on- shell
amplitudes added, reference added | JHEP 0304 (2003) 027 | 10.1088/1126-6708/2003/04/027 | IPM/P-2003/014 | hep-th | null | We show that the on-shell S-matrix elements of four open string massless
scalars, two scalars and two tachyons, and four open string tachyons in the
super string theory can be written in a unique form. We then propose an
off-shell extension for the S-matrix element of four scalars which is
consistent, in the low energy limit, with the Dirac-Born-Infeld effective
action. Using a similar off-shell extension for the S-matrix element of two
scalars and two tachyons and for the S-matrix element of four tachyons, we show
that they are fully consistent with the tachyonic DBI action.
| [
{
"created": "Thu, 27 Mar 2003 06:58:58 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Apr 2003 07:41:47 GMT",
"version": "v2"
},
{
"created": "Sat, 10 May 2003 12:07:26 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Garousi",
"Mohammad R.",
""
]
] | We show that the on-shell S-matrix elements of four open string massless scalars, two scalars and two tachyons, and four open string tachyons in the super string theory can be written in a unique form. We then propose an off-shell extension for the S-matrix element of four scalars which is consistent, in the low energy limit, with the Dirac-Born-Infeld effective action. Using a similar off-shell extension for the S-matrix element of two scalars and two tachyons and for the S-matrix element of four tachyons, we show that they are fully consistent with the tachyonic DBI action. |
1502.04299 | Akitsugu Miwa | Akitsugu Miwa | On broken zero modes of a string world sheet, and a correlation function
of a 1/4 BPS Wilson loop and a 1/2 BPS local operator | 24 pages | Phys. Rev. D 91, 106003 (2015) | 10.1103/PhysRevD.91.106003 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconsider a gravity dual of a 1/4 BPS Wilson loop. In the case of an
expectation value of the Wilson loop, it is known that broken zero modes of a
string world sheet in the gravity side play important roles in the limit
$\lambda \to \infty$ with keeping the combination $\lambda \cos^2 \theta_0$
finite. Here, $\lambda$ is the 't Hooft coupling constant and $\theta_0$ is a
parameter of the Wilson loop. In this paper, we reconsider a gravity dual of a
correlation function between the Wilson loop and a 1/2 BPS local operator with
R charge $J$. We take account of contributions coming from the same
configurations of the above-mentioned broken zero modes. We find an agreement
with the gauge theory side in the limit $J \ll \sqrt{\lambda \cos^2 \theta_0}
$.
| [
{
"created": "Sun, 15 Feb 2015 10:13:00 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Miwa",
"Akitsugu",
""
]
] | We reconsider a gravity dual of a 1/4 BPS Wilson loop. In the case of an expectation value of the Wilson loop, it is known that broken zero modes of a string world sheet in the gravity side play important roles in the limit $\lambda \to \infty$ with keeping the combination $\lambda \cos^2 \theta_0$ finite. Here, $\lambda$ is the 't Hooft coupling constant and $\theta_0$ is a parameter of the Wilson loop. In this paper, we reconsider a gravity dual of a correlation function between the Wilson loop and a 1/2 BPS local operator with R charge $J$. We take account of contributions coming from the same configurations of the above-mentioned broken zero modes. We find an agreement with the gauge theory side in the limit $J \ll \sqrt{\lambda \cos^2 \theta_0} $. |
2212.03269 | Qi-Xin Xie | Paul M. Saffin, Qi-Xin Xie, Shuang-Yong Zhou | Q-ball Superradiance | 9 pages, 12 figures. Published version in PRL | Phys.Rev.Lett. 131 (2023) 11, 111601 | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Q-balls are non-topological solitons that coherently rotate in field space.
We show that these coherent rotations can induce superradiance for scattering
waves, thanks to the fact that the scattering involves two coupled modes.
Despite the conservation of the particle number in the scattering, the mismatch
between the frequencies of the two modes allows for the enhancement of the
energy and angular momentum of incident waves. When the Q-ball spins in real
space, additional rotational superradiance is also possible, which can further
boost the enhancements. We identify the criteria for the energy and angular
momentum superradiance to occur.
| [
{
"created": "Tue, 6 Dec 2022 19:00:13 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Apr 2024 15:37:23 GMT",
"version": "v2"
}
] | 2024-04-23 | [
[
"Saffin",
"Paul M.",
""
],
[
"Xie",
"Qi-Xin",
""
],
[
"Zhou",
"Shuang-Yong",
""
]
] | Q-balls are non-topological solitons that coherently rotate in field space. We show that these coherent rotations can induce superradiance for scattering waves, thanks to the fact that the scattering involves two coupled modes. Despite the conservation of the particle number in the scattering, the mismatch between the frequencies of the two modes allows for the enhancement of the energy and angular momentum of incident waves. When the Q-ball spins in real space, additional rotational superradiance is also possible, which can further boost the enhancements. We identify the criteria for the energy and angular momentum superradiance to occur. |
hep-th/0010168 | Luiz Agostinho Ferreira | L.A. Ferreira and J. Sanchez-Guillen | Infinite symmetries in the Skyrme model | 9 pages, LaTeX, version to appear in Phys. Lett. B | Phys.Lett.B504:195-200,2001 | 10.1016/S0370-2693(01)00280-5 | IFT-P.085/2000 | hep-th hep-ph nlin.SI | null | We show that the Skyrme theory possesses a submodel with an infinite number
of local conserved currents. The constraints leading to the submodel explore a
decomposition of SU(2) with a complex field parametrizing the symmetric space
SU(2)/U(1) and a real field in the direction of U(1). We demonstrate that the
Skyrmions of topological charges $\pm 1$ belong to such integrable sector of
the theory. Our results open ways to the development of exact methods,
compensating for the non-existence of a BPS type sector in the Skyrme theory.
| [
{
"created": "Thu, 19 Oct 2000 19:21:33 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Oct 2000 17:16:59 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Dec 2000 21:14:47 GMT",
"version": "v3"
}
] | 2011-07-19 | [
[
"Ferreira",
"L. A.",
""
],
[
"Sanchez-Guillen",
"J.",
""
]
] | We show that the Skyrme theory possesses a submodel with an infinite number of local conserved currents. The constraints leading to the submodel explore a decomposition of SU(2) with a complex field parametrizing the symmetric space SU(2)/U(1) and a real field in the direction of U(1). We demonstrate that the Skyrmions of topological charges $\pm 1$ belong to such integrable sector of the theory. Our results open ways to the development of exact methods, compensating for the non-existence of a BPS type sector in the Skyrme theory. |
1508.04662 | Knut Bakke | H. Belich, C. Furtado and K. Bakke | Lorentz symmetry breaking effects on relativistic EPR correlations | Accepted for publication in The European Physical Journal C. arXiv
admin note: substantial text overlap with arXiv:1504.07432, arXiv:1504.07262,
arXiv:1412.5080, arXiv:1506.00562 | Eur. Phys. J. C 75, 410 (2015) | 10.1140/epjc/s10052-015-3640-1 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lorentz symmetry breaking effects on relativistic EPR
(Einstein-Podolsky-Rosen) correlations are discussed. From the modified Maxwell
theory coupled to gravity, we establish a possible scenario of the Lorentz
symmetry violation and write an effective metric for the Minkowski spacetime.
Then, we obtain the Wigner rotation angle via the Fermi-Walker transport of
spinors and consider the WKB ((Wentzel-Kramers-Brillouin) approximation in
order to study the influence of Lorentz symmetry breaking effects on the
relativistic EPR correlations.
| [
{
"created": "Wed, 19 Aug 2015 14:41:20 GMT",
"version": "v1"
}
] | 2015-09-10 | [
[
"Belich",
"H.",
""
],
[
"Furtado",
"C.",
""
],
[
"Bakke",
"K.",
""
]
] | Lorentz symmetry breaking effects on relativistic EPR (Einstein-Podolsky-Rosen) correlations are discussed. From the modified Maxwell theory coupled to gravity, we establish a possible scenario of the Lorentz symmetry violation and write an effective metric for the Minkowski spacetime. Then, we obtain the Wigner rotation angle via the Fermi-Walker transport of spinors and consider the WKB ((Wentzel-Kramers-Brillouin) approximation in order to study the influence of Lorentz symmetry breaking effects on the relativistic EPR correlations. |
1010.3218 | Thomas Sotiriou | Thomas P. Sotiriou | Horava-Lifshitz gravity: a status report | 17 pages, no figures, based on talk given at the 14th Conference on
Recent Developments in Gravity (NEBXIV), Ioannina, Greece, 8-11 Jun 2010; v2:
minor changes to match published version, references added | J.Phys.Conf.Ser.283:012034,2011 | 10.1088/1742-6596/283/1/012034 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is intended to be a brief introduction and overview of Horava-Lifshitz
gravity. The motivation and all of the various version of the theory (to date)
are presented. The dynamics of the theory are discussed in some detail, with a
focus on low energy viability and consistency, as these have been the issues
that attracted most of the attention in the literature so far. Other properties
of the theory and developments within its framework are also covered, such as:
its relation to Einstein-aether theory, cosmology, and future perspectives.
| [
{
"created": "Fri, 15 Oct 2010 16:48:13 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2011 17:25:55 GMT",
"version": "v2"
}
] | 2011-03-31 | [
[
"Sotiriou",
"Thomas P.",
""
]
] | This is intended to be a brief introduction and overview of Horava-Lifshitz gravity. The motivation and all of the various version of the theory (to date) are presented. The dynamics of the theory are discussed in some detail, with a focus on low energy viability and consistency, as these have been the issues that attracted most of the attention in the literature so far. Other properties of the theory and developments within its framework are also covered, such as: its relation to Einstein-aether theory, cosmology, and future perspectives. |
1610.06143 | H Sharatchandra S | H.S. Sharatchandra | Real-Space Renormalization Group for Quantum Gravity I: Significance of
terms linear and quadratic in curvature | 9 pages, minor corrections | null | null | null | hep-th cond-mat.stat-mech gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Real-Space renormalization group techniques are developed for tackling large
curvature fluctuations in quantum gravity. Within cells of invariant volume
$a^4$, only certain types of fluctuations are allowed. Normal coordinates are
used to avoid redundancy of the degrees of freedom. The relevant integration
measure is read off from the metric on metrics. All fluctuations in a group of
cells are averaged over to get an effective action for the larger cell. In this
paper the simplest type of fluctuations are kept. The measure is simply an
integration over independent components of the curvature tensor at the center
of each cell. Terms of higher order in $a$ are required for convergence in case
of Einstein-Hilbert action. With only next order (in $a$) contribution to the
action, there is no renormalization of Newton's or cosmological constants. The
`massless Gaussian surface' in the renormalization group space is given by
actions that have linear and quadratic terms in curvature and determines the
evolution of coupling constants away from it. Our techniques allow for
systematic improvements.
| [
{
"created": "Wed, 19 Oct 2016 18:39:22 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 2016 06:00:56 GMT",
"version": "v2"
}
] | 2016-10-21 | [
[
"Sharatchandra",
"H. S.",
""
]
] | Real-Space renormalization group techniques are developed for tackling large curvature fluctuations in quantum gravity. Within cells of invariant volume $a^4$, only certain types of fluctuations are allowed. Normal coordinates are used to avoid redundancy of the degrees of freedom. The relevant integration measure is read off from the metric on metrics. All fluctuations in a group of cells are averaged over to get an effective action for the larger cell. In this paper the simplest type of fluctuations are kept. The measure is simply an integration over independent components of the curvature tensor at the center of each cell. Terms of higher order in $a$ are required for convergence in case of Einstein-Hilbert action. With only next order (in $a$) contribution to the action, there is no renormalization of Newton's or cosmological constants. The `massless Gaussian surface' in the renormalization group space is given by actions that have linear and quadratic terms in curvature and determines the evolution of coupling constants away from it. Our techniques allow for systematic improvements. |
0807.1544 | Tarun Biswas | Tarun Biswas | Nonunitary Interaction, Adiabatic Condition, Haag's Theorem and
Renormalization | 6 pages, uses PiCTeX, uses ReVTeX | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Haag's theorem has shown that the transformation between interacting and free
field operators in a reasonable quantum field theory cannot be unitary. Here,
the original requirement of unitarity is revisited from a physical point of
view to show not only that unitarity is not required but indeed not possible.
Electrodynamics is used as an example. In a classical treatment the interaction
cannot be turned on or off adiabatically as energy conservation cannot be
maintained in a physically meaningful way. In a fully second quantized theory
the interaction (or source) term is always present in the equation of motion
even if the system is in the vacuum state. So, the interaction cannot be
physically turned on or off adiabatically or otherwise. Hence, the
transformation V(t) from free fields to interacting fields cannot be
interpreted as an actual time evolution. This makes the unitarity of V(t)quite
unnecessary as the original reason for unitarity was to conserve probability
(or energy) through a time evolution. It is conjectured that the infinite terms
in the scattering matrix that need renormalization appear due to the forcing of
V(t)to be unitary. An alternate approach to scattering of interacting fields is
suggested.
| [
{
"created": "Wed, 9 Jul 2008 21:03:36 GMT",
"version": "v1"
}
] | 2008-07-11 | [
[
"Biswas",
"Tarun",
""
]
] | Haag's theorem has shown that the transformation between interacting and free field operators in a reasonable quantum field theory cannot be unitary. Here, the original requirement of unitarity is revisited from a physical point of view to show not only that unitarity is not required but indeed not possible. Electrodynamics is used as an example. In a classical treatment the interaction cannot be turned on or off adiabatically as energy conservation cannot be maintained in a physically meaningful way. In a fully second quantized theory the interaction (or source) term is always present in the equation of motion even if the system is in the vacuum state. So, the interaction cannot be physically turned on or off adiabatically or otherwise. Hence, the transformation V(t) from free fields to interacting fields cannot be interpreted as an actual time evolution. This makes the unitarity of V(t)quite unnecessary as the original reason for unitarity was to conserve probability (or energy) through a time evolution. It is conjectured that the infinite terms in the scattering matrix that need renormalization appear due to the forcing of V(t)to be unitary. An alternate approach to scattering of interacting fields is suggested. |
1901.05976 | Daniel \'Avila | Daniel \'Avila, Leonardo Pati\~no | Melting holographic mesons by applying a magnetic field | 5 pages, 3 figures. Title changed, abstract, introduction and
discussion were rephrased to emphasize the physical phenomena. Plots were
remade at fixed temperature in order to better display the magnetic meson
melting. References added, typos corrected | null | 10.1016/j.physletb.2019.06.066 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the present letter we use holographic methods to show that a very intense
magnetic field lowers the temperature at which the mesons melt and decreases
the mass gap of the spectrum along with their masses. Consequently, there is a
range of temperatures for which mesons can be melted by applying a magnetic
field instead of increasing the temperature. We term this effect Magnetic Meson
Melting (MMM), and we are able to observe it by constructing a configuration
that makes it possible to apply gauge/gravity methods to study fundamental
degrees of freedom in a quark-gluon plasma subject to a magnetic field as
intense as that expected in high energy collisions. This is achieved by the
confection of a ten-dimensional background that is dual to the magnetized
plasma and nonetheless permits the embedding of D7-branes in it. For such a
background to exist, a scalar field has to be present and hence a scalar
operator of dimension 2 appears in the gauge theory. We present here the
details of the background and of the embedding of flavor D7-branes in it. Since
our results are obtained from the gravity dual of the gauge theory, the
analysis is also interesting from the gravitational perspective.
| [
{
"created": "Thu, 17 Jan 2019 19:00:07 GMT",
"version": "v1"
},
{
"created": "Thu, 30 May 2019 20:25:21 GMT",
"version": "v2"
}
] | 2019-07-10 | [
[
"Ávila",
"Daniel",
""
],
[
"Patiño",
"Leonardo",
""
]
] | In the present letter we use holographic methods to show that a very intense magnetic field lowers the temperature at which the mesons melt and decreases the mass gap of the spectrum along with their masses. Consequently, there is a range of temperatures for which mesons can be melted by applying a magnetic field instead of increasing the temperature. We term this effect Magnetic Meson Melting (MMM), and we are able to observe it by constructing a configuration that makes it possible to apply gauge/gravity methods to study fundamental degrees of freedom in a quark-gluon plasma subject to a magnetic field as intense as that expected in high energy collisions. This is achieved by the confection of a ten-dimensional background that is dual to the magnetized plasma and nonetheless permits the embedding of D7-branes in it. For such a background to exist, a scalar field has to be present and hence a scalar operator of dimension 2 appears in the gauge theory. We present here the details of the background and of the embedding of flavor D7-branes in it. Since our results are obtained from the gravity dual of the gauge theory, the analysis is also interesting from the gravitational perspective. |
1607.04132 | Gerry McKeon Dr. | D.G.C. McKeon | Symplectic Analysis of the Two Dimensional Palatini Action | 9 pages | null | 10.1139/cjp-2016-0507 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The symplectic analysis, initiated by Faddeev and Jackiw, is applied to the
first order (Palatini) form of the Einstein-Hilbert action in 1 + 1 dimensions.
The constraints that arise are shown to result in the same gauge
transformations that follow from the first class constraints occurring when the
Dirac constraint formalism is applied to this action. Problems associated with
gauge fixing are discussed.
| [
{
"created": "Thu, 14 Jul 2016 13:55:11 GMT",
"version": "v1"
},
{
"created": "Mon, 8 May 2017 19:47:45 GMT",
"version": "v2"
}
] | 2017-06-28 | [
[
"McKeon",
"D. G. C.",
""
]
] | The symplectic analysis, initiated by Faddeev and Jackiw, is applied to the first order (Palatini) form of the Einstein-Hilbert action in 1 + 1 dimensions. The constraints that arise are shown to result in the same gauge transformations that follow from the first class constraints occurring when the Dirac constraint formalism is applied to this action. Problems associated with gauge fixing are discussed. |
2103.12078 | Oliver Janssen | Oliver Janssen, Mehrdad Mirbabayi and Peter Zograf | Gravity as an ensemble and the moment problem | 11+12 pages | null | 10.1007/JHEP06(2021)184 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | If a bulk gravitational path integral can be identified with an average of
partition functions over an ensemble of boundary quantum theories, then a
corresponding moment problem can be solved. We review existence and uniqueness
criteria for the Stieltjes moment problem, which include an infinite set of
positivity conditions. The existence criteria are useful to rule out an
ensemble interpretation of a theory of gravity, or to indicate incompleteness
of the gravitational data. We illustrate this in a particular class of 2D
gravities including variants of the CGHS model and JT supergravity. The
uniqueness criterium is relevant for an unambiguous determination of quantities
such as $\overline{\log Z(\beta)}$ or the quenched free energy. We prove in JT
gravity that perturbation theory, both in the coupling which suppresses
higher-genus surfaces and in the temperature, fails when the number of
boundaries is taken to infinity. Since this asymptotic data is necessary for
the uniqueness problem, the question cannot be settled without a
nonperturbative completion of the theory.
| [
{
"created": "Mon, 22 Mar 2021 18:00:03 GMT",
"version": "v1"
}
] | 2021-07-14 | [
[
"Janssen",
"Oliver",
""
],
[
"Mirbabayi",
"Mehrdad",
""
],
[
"Zograf",
"Peter",
""
]
] | If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem can be solved. We review existence and uniqueness criteria for the Stieltjes moment problem, which include an infinite set of positivity conditions. The existence criteria are useful to rule out an ensemble interpretation of a theory of gravity, or to indicate incompleteness of the gravitational data. We illustrate this in a particular class of 2D gravities including variants of the CGHS model and JT supergravity. The uniqueness criterium is relevant for an unambiguous determination of quantities such as $\overline{\log Z(\beta)}$ or the quenched free energy. We prove in JT gravity that perturbation theory, both in the coupling which suppresses higher-genus surfaces and in the temperature, fails when the number of boundaries is taken to infinity. Since this asymptotic data is necessary for the uniqueness problem, the question cannot be settled without a nonperturbative completion of the theory. |
1209.6042 | Arsen Melikyan | A. Melikyan and G. Weber | The r-matrix of the Alday-Arutyunov-Frolov model | 39 pages; misprints corrected, references added | JHEP 1211 (2012) 165 | 10.1007/JHEP11(2012)165 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the classical integrability of the Alday-Arutyunov-Frolov
model, and show that the Lax connection can be reduced to a simpler 2 x 2
representation. Based on this result, we calculate the algebra between the
L-operators and find that it has a highly non-ultralocal form. We then employ
and make a suitable generalization of the regularization technique proposed by
Maillet for a simpler class of non-ultralocal models, and find the
corresponding r- and s-matrices. We also make a connection between the
operator-regularization method proposed earlier for the quantum case, and the
Maillet's symmetric limit regularization prescription used for non-ultralocal
algebras in the classical theory.
| [
{
"created": "Wed, 26 Sep 2012 19:34:05 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Oct 2012 19:32:09 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jul 2013 01:17:00 GMT",
"version": "v3"
},
{
"created": "Wed, 29 Jan 2014 16:32:43 GMT",
"version": "v4"
}
] | 2014-01-30 | [
[
"Melikyan",
"A.",
""
],
[
"Weber",
"G.",
""
]
] | We investigate the classical integrability of the Alday-Arutyunov-Frolov model, and show that the Lax connection can be reduced to a simpler 2 x 2 representation. Based on this result, we calculate the algebra between the L-operators and find that it has a highly non-ultralocal form. We then employ and make a suitable generalization of the regularization technique proposed by Maillet for a simpler class of non-ultralocal models, and find the corresponding r- and s-matrices. We also make a connection between the operator-regularization method proposed earlier for the quantum case, and the Maillet's symmetric limit regularization prescription used for non-ultralocal algebras in the classical theory. |
2005.10875 | Bogumi{\l}a \'Swie\.zewska | Marc Barroso Mancha, Tomislav Prokopec, Bogumila Swiezewska | Field-theoretic derivation of bubble-wall force | 65 pages (33 pages main text + 32 pages appendix and references), 15
figures, v2: improved discussion, clarifications added, matches published
version | JHEP 01 (2021) 070 | 10.1007/JHEP01(2021)070 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a general quantum field theoretic formula for the force acting on
expanding bubbles of a first order phase transition in the early Universe
setting. In the thermodynamic limit the force is proportional to the entropy
increase across the bubble of active species that exert a force on the bubble
interface. When local thermal equilibrium is attained, we find a strong
friction force which grows as the Lorentz factor squared, such that the bubbles
quickly reach stationary state and cannot run away. We also study an opposite
case when scatterings are negligible across the wall (ballistic limit), finding
that the force saturates for moderate Lorentz factors thus allowing for a
runaway behavior. We apply our formalism to a massive real scalar field, the
standard model and its simple portal extension. For completeness, we also
present a derivation of the renormalized, one-loop, thermal energy-momentum
tensor for the standard model and demonstrate its gauge independence.
| [
{
"created": "Thu, 21 May 2020 20:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Jan 2021 09:32:30 GMT",
"version": "v2"
}
] | 2021-01-28 | [
[
"Mancha",
"Marc Barroso",
""
],
[
"Prokopec",
"Tomislav",
""
],
[
"Swiezewska",
"Bogumila",
""
]
] | We derive a general quantum field theoretic formula for the force acting on expanding bubbles of a first order phase transition in the early Universe setting. In the thermodynamic limit the force is proportional to the entropy increase across the bubble of active species that exert a force on the bubble interface. When local thermal equilibrium is attained, we find a strong friction force which grows as the Lorentz factor squared, such that the bubbles quickly reach stationary state and cannot run away. We also study an opposite case when scatterings are negligible across the wall (ballistic limit), finding that the force saturates for moderate Lorentz factors thus allowing for a runaway behavior. We apply our formalism to a massive real scalar field, the standard model and its simple portal extension. For completeness, we also present a derivation of the renormalized, one-loop, thermal energy-momentum tensor for the standard model and demonstrate its gauge independence. |
2310.12203 | Seth Grable | Seth Grable and Paul Romatschke | Elements of Confinement for QCD with Twelve Massless Quarks | 7 pages, comments welcome | null | null | null | hep-th hep-ph nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider continuum formulation QCD in four dimensions with twelve massless
fundamental quark flavors. Splitting the SU(N) gauge field into background and
fluctuation parts, we use well developed techniques to calculate the one-loop
effective action for the theory. We find that for constant self-dual background
field-strength tensor the notorious infrared divergences of the effective
action cancel between gauge and matter sectors if the number of massless quark
flavors is exactly $N_f = 4N$. The ultraviolet divergencies of the effective
action are non-perturbatively renormalized with a $\beta$-function that matches
the known perturbative result in the weak coupling limit. The resulting UV- and
IR-finite effective action possesses a non-trivial minimum which has lower free
energy than the perturbative vacuum, and for which the expectation value of the
Polyakov loop vanishes. Inclusion of finite temperature effects points to the
presence of a first-order phase transition to the perturbative vacuum with a
calculable critical temperature.
| [
{
"created": "Wed, 18 Oct 2023 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Nov 2023 17:09:42 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jan 2024 15:52:26 GMT",
"version": "v3"
},
{
"created": "Sun, 21 Jul 2024 15:17:05 GMT",
"version": "v4"
}
] | 2024-07-23 | [
[
"Grable",
"Seth",
""
],
[
"Romatschke",
"Paul",
""
]
] | We consider continuum formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(N) gauge field into background and fluctuation parts, we use well developed techniques to calculate the one-loop effective action for the theory. We find that for constant self-dual background field-strength tensor the notorious infrared divergences of the effective action cancel between gauge and matter sectors if the number of massless quark flavors is exactly $N_f = 4N$. The ultraviolet divergencies of the effective action are non-perturbatively renormalized with a $\beta$-function that matches the known perturbative result in the weak coupling limit. The resulting UV- and IR-finite effective action possesses a non-trivial minimum which has lower free energy than the perturbative vacuum, and for which the expectation value of the Polyakov loop vanishes. Inclusion of finite temperature effects points to the presence of a first-order phase transition to the perturbative vacuum with a calculable critical temperature. |
hep-th/0510004 | Mithat Unsal | Mithat Unsal | Supersymmetric Deformations of Type IIB Matrix Model as Matrix
Regularization of N=4 SYM | Version 2: Extended discussion of moduli space, added a reference | JHEP0604:002,2006 | 10.1088/1126-6708/2006/04/002 | null | hep-th hep-lat | null | We construct a $\mathcal{Q}=1$ supersymmetry and $U(1)^5$ global symmetry
preserving deformation of the type IIB matrix model. This model, without
orbifold projection, serves as a nonperturbative regularization for
$\mathcal{N}=4$ supersymmetric Yang-Mills theory in four Euclidean dimensions.
Upon deformation, the eigenvalues of the bosonic matrices are forced to reside
on the surface of a hypertorus. We explicitly show the relation between the
noncommutative moduli space of the deformed matrix theory and the Brillouin
zone of the emergent lattice theory. This observation makes the transmutation
of the moduli space into the base space of target field theory clearer. The
lattice theory is slightly nonlocal, however the nonlocality is suppressed by
the lattice spacing. In the classical continuum limit, we recover the
$\mathcal{N}=4$ SYM theory. We also discuss the result in terms of D-branes and
interpret it as collective excitations of D(-1) branes forming D3 branes.
| [
{
"created": "Sat, 1 Oct 2005 00:44:04 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2006 05:19:46 GMT",
"version": "v2"
}
] | 2017-09-07 | [
[
"Unsal",
"Mithat",
""
]
] | We construct a $\mathcal{Q}=1$ supersymmetry and $U(1)^5$ global symmetry preserving deformation of the type IIB matrix model. This model, without orbifold projection, serves as a nonperturbative regularization for $\mathcal{N}=4$ supersymmetric Yang-Mills theory in four Euclidean dimensions. Upon deformation, the eigenvalues of the bosonic matrices are forced to reside on the surface of a hypertorus. We explicitly show the relation between the noncommutative moduli space of the deformed matrix theory and the Brillouin zone of the emergent lattice theory. This observation makes the transmutation of the moduli space into the base space of target field theory clearer. The lattice theory is slightly nonlocal, however the nonlocality is suppressed by the lattice spacing. In the classical continuum limit, we recover the $\mathcal{N}=4$ SYM theory. We also discuss the result in terms of D-branes and interpret it as collective excitations of D(-1) branes forming D3 branes. |
1107.3573 | Cyril Matti | Michael Klaput, Andre Lukas and Cyril Matti | Bundles over Nearly-Kahler Homogeneous Spaces in Heterotic String Theory | 32 pages, reference added | JHEP 1109 (2011) 100 | 10.1007/JHEP09(2011)100 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct heterotic vacua based on six-dimensional nearly-Kahler
homogeneous manifolds and non-trivial vector bundles thereon. Our examples are
based on three specific group coset spaces. It is shown how to construct line
bundles over these spaces, compute their properties and build up vector bundles
consistent with supersymmetry and anomaly cancelation. It turns out that the
most interesting coset is $SU(3)/U(1)^2$. This space supports a large number of
vector bundles which lead to consistent heterotic vacua, some of them with
three chiral families.
| [
{
"created": "Mon, 18 Jul 2011 20:50:29 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jul 2011 17:36:55 GMT",
"version": "v2"
}
] | 2012-04-17 | [
[
"Klaput",
"Michael",
""
],
[
"Lukas",
"Andre",
""
],
[
"Matti",
"Cyril",
""
]
] | We construct heterotic vacua based on six-dimensional nearly-Kahler homogeneous manifolds and non-trivial vector bundles thereon. Our examples are based on three specific group coset spaces. It is shown how to construct line bundles over these spaces, compute their properties and build up vector bundles consistent with supersymmetry and anomaly cancelation. It turns out that the most interesting coset is $SU(3)/U(1)^2$. This space supports a large number of vector bundles which lead to consistent heterotic vacua, some of them with three chiral families. |
0705.4096 | Christian Byrnes T | Christian T. Byrnes (1), Kazuya Koyama (1), Misao Sasaki (2) and David
Wands (1) ((1) Portsmouth U., ICG (2) Kyoto U., Yukawa Inst.) | Diagrammatic approach to non-Gaussianity from inflation | 17 pages, 13 figures. v2: Comments and references added, v3:
Introduction expanded, subsection on evaluating loop diagrams added, minor
errors corrected, references added | JCAP 0711:027,2007 | 10.1088/1475-7516/2007/11/027 | null | hep-th astro-ph gr-qc | null | We present Feynman type diagrams for calculating the n-point function of the
primordial curvature perturbation in terms of scalar field perturbations during
inflation. The diagrams can be used to evaluate the corresponding terms in the
n-point function at tree level or any required loop level. Rules are presented
for drawing the diagrams and writing down the corresponding terms in real space
and Fourier space. We show that vertices can be renormalised to automatically
account for diagrams with dressed vertices. We apply these rules to calculate
the primordial power spectrum up to two loops, the bispectrum including loop
corrections, and the trispectrum.
| [
{
"created": "Tue, 29 May 2007 18:05:55 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Aug 2007 16:46:27 GMT",
"version": "v2"
},
{
"created": "Sun, 9 Dec 2007 17:41:50 GMT",
"version": "v3"
}
] | 2009-10-09 | [
[
"Byrnes",
"Christian T.",
"",
"Portsmouth U., ICG"
],
[
"Koyama",
"Kazuya",
"",
"Portsmouth U., ICG"
],
[
"Sasaki",
"Misao",
"",
"Kyoto U., Yukawa Inst"
],
[
"Wands",
"David",
"",
"Portsmouth U., ICG"
]
] | We present Feynman type diagrams for calculating the n-point function of the primordial curvature perturbation in terms of scalar field perturbations during inflation. The diagrams can be used to evaluate the corresponding terms in the n-point function at tree level or any required loop level. Rules are presented for drawing the diagrams and writing down the corresponding terms in real space and Fourier space. We show that vertices can be renormalised to automatically account for diagrams with dressed vertices. We apply these rules to calculate the primordial power spectrum up to two loops, the bispectrum including loop corrections, and the trispectrum. |
0709.3280 | Andr\'e Lehum | A. C. Lehum, A. F. Ferrari, M. Gomes and A. J. da Silva (Sao Paulo U.) | Spontaneous gauge symmetry breaking in a supersymmetric Chern-Simons
model | 13 pages, 8 figures, journal version (Phys.Rev.D) | Phys.Rev.D76:105021,2007 | 10.1103/PhysRevD.76.105021 | null | hep-th | null | This works presents a perturbative analysis of the supersymmetric
Chern-Simons model in three spacetime dimensions coupled to a Higgs field,
using the superfield formalism. We study the spontaneous symmetry breaking of
the U(1) gauge symmetry and evaluate the first quantum corrections to the
effective action in the broken phase. We show that the infinite renormalization
of the gap equation is enough to ensure the renormalizability of the model at
the first loop level.
| [
{
"created": "Thu, 20 Sep 2007 19:08:23 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Oct 2007 20:17:41 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Nov 2007 18:50:55 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Lehum",
"A. C.",
"",
"Sao Paulo U."
],
[
"Ferrari",
"A. F.",
"",
"Sao Paulo U."
],
[
"Gomes",
"M.",
"",
"Sao Paulo U."
],
[
"da Silva",
"A. J.",
"",
"Sao Paulo U."
]
] | This works presents a perturbative analysis of the supersymmetric Chern-Simons model in three spacetime dimensions coupled to a Higgs field, using the superfield formalism. We study the spontaneous symmetry breaking of the U(1) gauge symmetry and evaluate the first quantum corrections to the effective action in the broken phase. We show that the infinite renormalization of the gap equation is enough to ensure the renormalizability of the model at the first loop level. |
hep-th/0603161 | Louis Leblond | Hassan Firouzjahi, Louis Leblond, S.-H. Henry Tye | The (p,q) String Tension in a Warped Deformed Conifold | 17 pages, 1 figure | JHEP0605:047,2006 | 10.1088/1126-6708/2006/05/047 | null | hep-th | null | We find the tension spectrum of the bound states of p fundamental strings and
q D-strings at the bottom of a warped deformed conifold. We show that it can be
obtained from a D3-brane wrapping a 2-cycle that is stabilized by both electric
and magnetic fluxes. Because the F-strings are Z_M-charged with non-zero
binding energy, binding can take place even if (p,q) are not coprime.
Implications for cosmic strings are briefly discussed.
| [
{
"created": "Tue, 21 Mar 2006 18:28:09 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Firouzjahi",
"Hassan",
""
],
[
"Leblond",
"Louis",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] | We find the tension spectrum of the bound states of p fundamental strings and q D-strings at the bottom of a warped deformed conifold. We show that it can be obtained from a D3-brane wrapping a 2-cycle that is stabilized by both electric and magnetic fluxes. Because the F-strings are Z_M-charged with non-zero binding energy, binding can take place even if (p,q) are not coprime. Implications for cosmic strings are briefly discussed. |
2404.15416 | Thomas Colas | Santiago Agui Salcedo, Thomas Colas, Enrico Pajer | The Open Effective Field Theory of Inflation | 56 pages without appendices (81 pages in total), 12 figures, 2 tables | null | null | null | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In our quest to understand the generation of cosmological perturbations, we
face two serious obstacles: we do not have direct information about the
environment experienced by primordial perturbations during inflation, and our
observables are practically limited to correlators of massless fields, heavier
fields and derivatives decaying exponentially in the number of e-foldings. The
flexible and general framework of open systems has been developed precisely to
face similar challenges. Building on previous work, we develop a
Schwinger-Keldysh path integral description for an open effective field theory
of inflation, describing the possibly dissipative and non-unitary evolution of
the Goldstone boson of time translations interacting with an unspecified
environment, under the key assumption of locality in space and time. Working in
the decoupling limit, we study the linear and interacting theory in de Sitter
and derive predictions for the power spectrum and bispectrum that depend on a
finite number of effective couplings organised in a derivative expansion. The
smoking gun of interactions with the environment is an enhanced but finite
bispectrum close to the folded kinematical limit. We demonstrate the generality
of our approach by matching our open effective theory to an explicit model. Our
construction provides a standard model to simultaneously study phenomenological
predictions as well as quantum information aspects of the inflationary
dynamics.
| [
{
"created": "Tue, 23 Apr 2024 18:09:23 GMT",
"version": "v1"
}
] | 2024-04-29 | [
[
"Salcedo",
"Santiago Agui",
""
],
[
"Colas",
"Thomas",
""
],
[
"Pajer",
"Enrico",
""
]
] | In our quest to understand the generation of cosmological perturbations, we face two serious obstacles: we do not have direct information about the environment experienced by primordial perturbations during inflation, and our observables are practically limited to correlators of massless fields, heavier fields and derivatives decaying exponentially in the number of e-foldings. The flexible and general framework of open systems has been developed precisely to face similar challenges. Building on previous work, we develop a Schwinger-Keldysh path integral description for an open effective field theory of inflation, describing the possibly dissipative and non-unitary evolution of the Goldstone boson of time translations interacting with an unspecified environment, under the key assumption of locality in space and time. Working in the decoupling limit, we study the linear and interacting theory in de Sitter and derive predictions for the power spectrum and bispectrum that depend on a finite number of effective couplings organised in a derivative expansion. The smoking gun of interactions with the environment is an enhanced but finite bispectrum close to the folded kinematical limit. We demonstrate the generality of our approach by matching our open effective theory to an explicit model. Our construction provides a standard model to simultaneously study phenomenological predictions as well as quantum information aspects of the inflationary dynamics. |
hep-th/9207055 | Nick Dorey | N. Dorey and P. S. Kurzepa | Vortex condensation in a model of random $\phi^{4}$-graphs | 12 pages, LaTeX, (5 figures not included) | Phys.Lett. B295 (1992) 51-58 | 10.1016/0370-2693(92)90088-L | null | hep-th | null | We consider a soluble model of large $\phi^{4}$-graphs randomly embedded in
one compactified dimension; namely the large-order behaviour of
finite-temperature perturbation theory for the partition function of the
anharmonic oscillator. We solve the model using semi-classical methods and
demonstrate the existence of a critical temperature at which the system
undergoes a second-order phase transition from $D=1$ to $D=0$ behaviour.
Non-trivial windings of the closed loops in a graph around the compactified
time direction are interpreted as vortices. The critical point has a natural
interpretation as the temperature at which these vortices condense and disorder
the system. We show that the vortex density increases rapidly in the critical
region indicating the breakdown of the dilute vortex gas approximation at this
point. We discuss the relation of this phenomenon to the
Berezinskii-Kosterlitz-Thouless transition in the $D=1$ matrix model formulated
on a circle.
| [
{
"created": "Wed, 15 Jul 1992 20:56:08 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Dorey",
"N.",
""
],
[
"Kurzepa",
"P. S.",
""
]
] | We consider a soluble model of large $\phi^{4}$-graphs randomly embedded in one compactified dimension; namely the large-order behaviour of finite-temperature perturbation theory for the partition function of the anharmonic oscillator. We solve the model using semi-classical methods and demonstrate the existence of a critical temperature at which the system undergoes a second-order phase transition from $D=1$ to $D=0$ behaviour. Non-trivial windings of the closed loops in a graph around the compactified time direction are interpreted as vortices. The critical point has a natural interpretation as the temperature at which these vortices condense and disorder the system. We show that the vortex density increases rapidly in the critical region indicating the breakdown of the dilute vortex gas approximation at this point. We discuss the relation of this phenomenon to the Berezinskii-Kosterlitz-Thouless transition in the $D=1$ matrix model formulated on a circle. |
hep-th/9510152 | null | S. James Gates, Jr and Lubna Rana | A Proposal for Aleph_o Extended Supersymmetry in Integrable Systems | Latex file, 14 pages | Phys.Lett. B369 (1996) 269-276 | 10.1016/0370-2693(95)01557-4 | UMDEPP-96-39 | hep-th | null | Utilizing techniques suggested by the recently obtained construction of
off-shell spinning particles, we propose the arbitrary $N$-extension of
supersymmetry for the KdV system. It is further suggested that the ${\aleph}_0$
extension for the SKdV system provides a paradigm for {\underline {all}}
supersymmetric completely integrable systems.
| [
{
"created": "Fri, 20 Oct 1995 17:29:13 GMT",
"version": "v1"
}
] | 2012-08-27 | [
[
"Gates,",
"S. James",
"Jr"
],
[
"Rana",
"Lubna",
""
]
] | Utilizing techniques suggested by the recently obtained construction of off-shell spinning particles, we propose the arbitrary $N$-extension of supersymmetry for the KdV system. It is further suggested that the ${\aleph}_0$ extension for the SKdV system provides a paradigm for {\underline {all}} supersymmetric completely integrable systems. |
hep-th/0012240 | Adel M. Ahmed | Adel Awad, Andrew Chamblin | A Bestiary of Higher Dimensional Taub-NUT-AdS Spacetimes | 11 pages, LaTex(v4: Comments and references added) | Class.Quant.Grav. 19 (2002) 2051-2062 | 10.1088/0264-9381/19/8/301 | MIT-CTP-3053 | hep-th | null | We present a menagerie of solutions to the vacuum Einstein equations in six,
eight and ten dimensions. These solutions describe spacetimes which are either
locally asymptotically adS or locally asymptotically flat, and which have
non-trivial topology. We discuss the global structure of these solutions, and
their relevance within the context of M-theory.
| [
{
"created": "Tue, 26 Dec 2000 18:09:01 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Dec 2000 17:42:55 GMT",
"version": "v2"
},
{
"created": "Mon, 7 May 2001 20:02:19 GMT",
"version": "v3"
},
{
"created": "Thu, 27 Dec 2001 03:04:51 GMT",
"version": "v4"
},
{
"created": "Thu, 10 Jan 2002 23:31:53 GMT",
"version": "v5"
}
] | 2009-10-31 | [
[
"Awad",
"Adel",
""
],
[
"Chamblin",
"Andrew",
""
]
] | We present a menagerie of solutions to the vacuum Einstein equations in six, eight and ten dimensions. These solutions describe spacetimes which are either locally asymptotically adS or locally asymptotically flat, and which have non-trivial topology. We discuss the global structure of these solutions, and their relevance within the context of M-theory. |
hep-th/0703043 | Vladimir Dzhunushaliev | Vladimir Dzhunushaliev, Vladimir Folomeev, Douglas Singleton and
Sergio Aguilar-Rudametkin | 6D thick branes from interacting scalar fields | final version | Phys.Rev.D77:044006,2008 | 10.1103/PhysRevD.77.044006 | null | hep-th | null | A thick brane in six dimensions is constructed using two scalar fields. The
field equations for 6D gravity plus the scalar fields are solved numerically.
This thick brane solution shares some features with a previously studied
analytic solutions, but has the advantage that the energy-momentum tensor which
forms the thick brane comes from the scalar fields rather than being put in by
hand. Additionally the scalar fields which form the brane also provide a
universal, non-gravitational trapping mechanism for test fields of various
spins.
| [
{
"created": "Tue, 6 Mar 2007 05:02:30 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Apr 2007 09:56:24 GMT",
"version": "v2"
},
{
"created": "Thu, 31 May 2007 10:34:17 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Sep 2007 06:20:25 GMT",
"version": "v4"
},
{
"created": "Mon, 11 Feb 2008 09:40:32 GMT",
"version": "v5"
}
] | 2008-11-26 | [
[
"Dzhunushaliev",
"Vladimir",
""
],
[
"Folomeev",
"Vladimir",
""
],
[
"Singleton",
"Douglas",
""
],
[
"Aguilar-Rudametkin",
"Sergio",
""
]
] | A thick brane in six dimensions is constructed using two scalar fields. The field equations for 6D gravity plus the scalar fields are solved numerically. This thick brane solution shares some features with a previously studied analytic solutions, but has the advantage that the energy-momentum tensor which forms the thick brane comes from the scalar fields rather than being put in by hand. Additionally the scalar fields which form the brane also provide a universal, non-gravitational trapping mechanism for test fields of various spins. |
1311.3600 | Marco Chiodaroli | Marco Chiodaroli, Qingjun Jin and Radu Roiban | Color/kinematics duality for general abelian orbifolds of N=4 super
Yang-Mills theory | 51 pages, 7 figures, PDFLaTex, typos fixed, minor changes in section
3.2 | null | 10.1007/JHEP01(2014)152 | AEI-2013-262, IGC-13/11-02 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To explore color/kinematics duality for general representations of the gauge
group we formulate the duality for general abelian orbifolds of the SU(N), N=4
super Yang-Mills theory in four dimensions, which have fields in the
bi-fundamental representation, and use it to construct explicitly complete
four-vector and four-scalar amplitudes at one loop. For fixed number of
supercharges, graph-organized L-loop n-point integrands of all orbifold
theories are given in terms of a fixed set of polynomials labeled by L
representations of the orbifold group. In contrast to the standard
duality-satisfying presentation of amplitudes of the N=4 super Yang-Mills
theory, each graph may appear several times with different internal states. The
color and R-charge flow provide a way to deform the amplitudes of orbifold
theories to those of more general quiver gauge theories which do not
necessarily exhibit color/kinematics duality on their own. Based on the
organization of amplitudes required by the duality between color and kinematics
in orbifold theories we show how the amplitudes of certain non-factorized
matter-coupled supergravity theories can be found through a double-copy
construction. We also carry out a comprehensive search for theories with fields
solely in the adjoint representation of the gauge group and amplitudes
exhibiting color/kinematics duality for all external states and find an
interesting relation between supersymmetry and existence of the duality.
| [
{
"created": "Thu, 14 Nov 2013 18:35:18 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Apr 2014 14:23:23 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Chiodaroli",
"Marco",
""
],
[
"Jin",
"Qingjun",
""
],
[
"Roiban",
"Radu",
""
]
] | To explore color/kinematics duality for general representations of the gauge group we formulate the duality for general abelian orbifolds of the SU(N), N=4 super Yang-Mills theory in four dimensions, which have fields in the bi-fundamental representation, and use it to construct explicitly complete four-vector and four-scalar amplitudes at one loop. For fixed number of supercharges, graph-organized L-loop n-point integrands of all orbifold theories are given in terms of a fixed set of polynomials labeled by L representations of the orbifold group. In contrast to the standard duality-satisfying presentation of amplitudes of the N=4 super Yang-Mills theory, each graph may appear several times with different internal states. The color and R-charge flow provide a way to deform the amplitudes of orbifold theories to those of more general quiver gauge theories which do not necessarily exhibit color/kinematics duality on their own. Based on the organization of amplitudes required by the duality between color and kinematics in orbifold theories we show how the amplitudes of certain non-factorized matter-coupled supergravity theories can be found through a double-copy construction. We also carry out a comprehensive search for theories with fields solely in the adjoint representation of the gauge group and amplitudes exhibiting color/kinematics duality for all external states and find an interesting relation between supersymmetry and existence of the duality. |
2406.15547 | Alice L\"uscher | Christopher Couzens and Alice L\"uscher | A geometric dual of F-maximization in massive type IIA | 40 pages including appendices | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Using equivariant localization we construct a geometric dual of
F-maximization in massive type IIA supergravity. Our results use only
topological data to quantize the fluxes, compute the free-energy and conformal
dimensions of operators in the dual field theory without the need for explicit
solutions. We utilize our formalism to study various classes of solutions,
including examples where an explicit solution is not known.
| [
{
"created": "Fri, 21 Jun 2024 18:00:00 GMT",
"version": "v1"
}
] | 2024-06-25 | [
[
"Couzens",
"Christopher",
""
],
[
"Lüscher",
"Alice",
""
]
] | Using equivariant localization we construct a geometric dual of F-maximization in massive type IIA supergravity. Our results use only topological data to quantize the fluxes, compute the free-energy and conformal dimensions of operators in the dual field theory without the need for explicit solutions. We utilize our formalism to study various classes of solutions, including examples where an explicit solution is not known. |
1808.03973 | Antony Speranza | Antony J. Speranza | Investigations on entanglement entropy in gravity | 213 pages, Ph. D. thesis. Introductory chapter consists of new
material summarizing the motivations for connecting entanglement entropy with
gravity, while chapters 2, 3 and 4 are closely based on arXiv:1602:01380,
arXiv:1612:04374, and arXiv:1706:05061 | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Entanglement entropy first arose from attempts to understand the entropy of
black holes, and is believed to play a crucial role in a complete description
of quantum gravity. This thesis explores some proposed connections between
entanglement entropy and the geometry of spacetime. One such connection is the
ability to derive gravitational field equations from entanglement identities. I
will discuss a specific derivation of the Einstein equation from an equilibrium
condition satisfied by entanglement entropy, and explore a subtlety in the
construction when the matter fields are not conformally invariant. As a further
generalization, I extend the argument to include higher curvature theories of
gravity, whose consideration is necessitated by the presence of subleading
divergences in the entanglement entropy beyond the area law.
A deeper issue in this construction, as well as in more general
considerations identifying black hole entropy with entanglement entropy, is
that the entropy is ambiguous for gauge fields and gravitons. The ambiguity
stems from how one handles edge modes at the entangling surface, which
parameterize the gauge transformations that are broken by the presence of the
boundary. The final part of this thesis is devoted to identifying the edge
modes in arbitrary diffeomorphism-invariant theories. Edge modes are
conjectured to provide a statistical description of the black hole entropy, and
this work takes some initial steps toward checking this conjecture in higher
curvature theories.
| [
{
"created": "Sun, 12 Aug 2018 17:55:57 GMT",
"version": "v1"
}
] | 2018-08-14 | [
[
"Speranza",
"Antony J.",
""
]
] | Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between entanglement entropy and the geometry of spacetime. One such connection is the ability to derive gravitational field equations from entanglement identities. I will discuss a specific derivation of the Einstein equation from an equilibrium condition satisfied by entanglement entropy, and explore a subtlety in the construction when the matter fields are not conformally invariant. As a further generalization, I extend the argument to include higher curvature theories of gravity, whose consideration is necessitated by the presence of subleading divergences in the entanglement entropy beyond the area law. A deeper issue in this construction, as well as in more general considerations identifying black hole entropy with entanglement entropy, is that the entropy is ambiguous for gauge fields and gravitons. The ambiguity stems from how one handles edge modes at the entangling surface, which parameterize the gauge transformations that are broken by the presence of the boundary. The final part of this thesis is devoted to identifying the edge modes in arbitrary diffeomorphism-invariant theories. Edge modes are conjectured to provide a statistical description of the black hole entropy, and this work takes some initial steps toward checking this conjecture in higher curvature theories. |
hep-th/0412330 | Reinhard Alkofer | Reinhard Alkofer, Christian S. Fischer, Felipe J. Llanes-Estrada | Vertex functions and infrared fixed point in Landau gauge SU(N)
Yang-Mills theory | 14 pages, 8 figures, v2: typos corrected, version to be published in
PLB | Phys.Lett.B611:279-288,2005; Erratum-ibid.670:460-461,2009 | 10.1016/j.physletb.2005.02.043 10.1016/j.physletb.2008.11.068 | UNITU-THEP-22/04, IPPP/04/89, DCPT/04/178 | hep-th hep-ph nucl-th | null | The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in
Landau gauge is investigated employing a skeleton expansion of the
Dyson-Schwinger equations. The three- and four-gluon vertices become singular
if and only if all external momenta vanish while the dressing of the
ghost-gluon vertex remains finite in this limit. The running coupling as
extracted from either of these vertex functions possesses an infrared fixed
point. In general, diagrams including ghost-loops dominate in the infrared over
purely gluonic ones.
| [
{
"created": "Thu, 30 Dec 2004 16:30:11 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Mar 2005 09:53:54 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Alkofer",
"Reinhard",
""
],
[
"Fischer",
"Christian S.",
""
],
[
"Llanes-Estrada",
"Felipe J.",
""
]
] | The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three- and four-gluon vertices become singular if and only if all external momenta vanish while the dressing of the ghost-gluon vertex remains finite in this limit. The running coupling as extracted from either of these vertex functions possesses an infrared fixed point. In general, diagrams including ghost-loops dominate in the infrared over purely gluonic ones. |
hep-th/9606176 | Clifford Johnson | Eric G. Gimon and Clifford V. Johnson | Multiple Realisations of N=1 Vacua in Six Dimensions | Uses harvmac.tex and epsf.tex, 22 pages (harvmac `b'), 1 figure | Nucl.Phys. B479 (1996) 285-304 | 10.1016/0550-3213(96)00439-7 | NSF-ITP-96-55 | hep-th | null | A while ago, examples of N=1 vacua in D=6 were constructed as orientifolds of
Type IIB string theory compactified on the K3 surface. Among the interesting
features of those models was the presence of D5-branes behaving like small
instantons, and the appearance of extra tensor multiplets. These are both
non-perturbative phenomena from the point of view of heterotic string theory.
Although the orientifold models are a natural setting in which to study these
non-perturbative Heterotic string phenomena, it is interesting and instructive
to explore how such vacua are realised in Heterotic string theory, M-theory and
F-theory, and consider the relations between them. In particular, we consider
models of M-theory compactified on K3 x S^1/Z_2 with fivebranes present on the
interval. There is a family of such models which yields the same spectra as a
subfamily of the orientifold models. By further compactifying on T^2 to four
dimensions we relate them to Heterotic string spectra. We then use
Heterotic/Type IIA duality to deduce the existence of Calabi-Yau 3-folds which
should yield the original six dimensional orientifold spectra if we use them to
compactify F-theory. Finally, we show in detail how to take a limit of such an
F-theory compactification which returns us to the Type IIB orientifold models.
| [
{
"created": "Thu, 27 Jun 1996 03:08:30 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gimon",
"Eric G.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] | A while ago, examples of N=1 vacua in D=6 were constructed as orientifolds of Type IIB string theory compactified on the K3 surface. Among the interesting features of those models was the presence of D5-branes behaving like small instantons, and the appearance of extra tensor multiplets. These are both non-perturbative phenomena from the point of view of heterotic string theory. Although the orientifold models are a natural setting in which to study these non-perturbative Heterotic string phenomena, it is interesting and instructive to explore how such vacua are realised in Heterotic string theory, M-theory and F-theory, and consider the relations between them. In particular, we consider models of M-theory compactified on K3 x S^1/Z_2 with fivebranes present on the interval. There is a family of such models which yields the same spectra as a subfamily of the orientifold models. By further compactifying on T^2 to four dimensions we relate them to Heterotic string spectra. We then use Heterotic/Type IIA duality to deduce the existence of Calabi-Yau 3-folds which should yield the original six dimensional orientifold spectra if we use them to compactify F-theory. Finally, we show in detail how to take a limit of such an F-theory compactification which returns us to the Type IIB orientifold models. |
hep-th/0004140 | Mccartor | Y. Nakawaki and G. McCartor | Indispensability of Ghost Fields and Extended Hamiltonian Formalism in
Axial Gauge Quantization of Gauge Fields | 17 pages and uses seceq, psfig and ptptex | null | null | SMUHEP/00-07 | hep-th | null | It is shown that ghost fields are indispensable in deriving well-defined
antiderivatives in pure space-like axial gauge quantizations of gauge fields.
To avoid inessential complications we confine ourselves to noninteracting
abelian fields and incorporate their quantizations as a continuous deformation
of those in light-cone gauge. We attain this by constructing an axial gauge
formulation in auxiliary coordinates $x^{\mu}= (x^+,x^-,x^1,x^2)$, where
$x^+=x^0{\rm sin}{\theta}+x^3{\rm cos}{\theta}, x^-=x^0{\rm
cos}{\theta}-x^3{\rm sin}{\theta}$ and $x^+$ and $A_-=A^0{\rm cos}
{\theta}+A^3{\rm sin}{\theta}=0$ are taken as the evolution parameter and the
gauge fixing condition, respectively. We introduce $x^-$-independent residual
gauge fields as ghost fields and accomodate them to the Hamiltonian formalism
by applying McCartor and Robertson's method. As a result, we obtain conserved
translational generators $P_{\mu}$, which retain ghost degrees of freedom
integrated over the hyperplane $x^-=$ constant. They enable us to determine
quantization conditions for the ghost fields in such a way that commutation
relations with $P_{\mu}$ give rise to the correct Heisenberg equations. We show
that regularizing singularities arising from the inversion of a hyperbolic
Laplace operator as principal values, enables us to cancel linear divergences
resulting from $({\partial}_-)^{-2}$ so that the Mandelstam- Leibbrandt form of
gauge field propagator can be derived. It is also shown that the pure
space-like axial gauge formulation in ordinary coordinates can be derived in
the limit ${\theta}\to\frac{\pi}{2}-0$ and that the light-cone axial gauge
formulation turns out to be the case of ${\theta}=\frac{\pi}{4}$.
| [
{
"created": "Wed, 19 Apr 2000 18:10:23 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nakawaki",
"Y.",
""
],
[
"McCartor",
"G.",
""
]
] | It is shown that ghost fields are indispensable in deriving well-defined antiderivatives in pure space-like axial gauge quantizations of gauge fields. To avoid inessential complications we confine ourselves to noninteracting abelian fields and incorporate their quantizations as a continuous deformation of those in light-cone gauge. We attain this by constructing an axial gauge formulation in auxiliary coordinates $x^{\mu}= (x^+,x^-,x^1,x^2)$, where $x^+=x^0{\rm sin}{\theta}+x^3{\rm cos}{\theta}, x^-=x^0{\rm cos}{\theta}-x^3{\rm sin}{\theta}$ and $x^+$ and $A_-=A^0{\rm cos} {\theta}+A^3{\rm sin}{\theta}=0$ are taken as the evolution parameter and the gauge fixing condition, respectively. We introduce $x^-$-independent residual gauge fields as ghost fields and accomodate them to the Hamiltonian formalism by applying McCartor and Robertson's method. As a result, we obtain conserved translational generators $P_{\mu}$, which retain ghost degrees of freedom integrated over the hyperplane $x^-=$ constant. They enable us to determine quantization conditions for the ghost fields in such a way that commutation relations with $P_{\mu}$ give rise to the correct Heisenberg equations. We show that regularizing singularities arising from the inversion of a hyperbolic Laplace operator as principal values, enables us to cancel linear divergences resulting from $({\partial}_-)^{-2}$ so that the Mandelstam- Leibbrandt form of gauge field propagator can be derived. It is also shown that the pure space-like axial gauge formulation in ordinary coordinates can be derived in the limit ${\theta}\to\frac{\pi}{2}-0$ and that the light-cone axial gauge formulation turns out to be the case of ${\theta}=\frac{\pi}{4}$. |
hep-th/0203181 | Ruben Portugues | R. Portugues and P.K. Townsend | Sigma-model soliton intersections from exceptional calibrations | 21 pages. Version 3: Minor corrections and one further reference:
version published in JHEP | JHEP 0204:039,2002 | 10.1088/1126-6708/2002/04/039 | DAMTP-2002-35 | hep-th | null | A first-order `BPS' equation is obtained for 1/8 supersymmetric intersections
of soliton-membranes (lumps) of supersymmetric (4+1)-dimensional massless sigma
models, and a special non-singular solution is found that preserves 1/4
supersymmetry. For 4-dimensional hyper-K\"ahler target spaces ($HK_4$) the BPS
equation is shown to be the low-energy limit of the equation for a
Cayley-calibrated 4-surface in $\bE^4\times HK_4$. Similar first-order
equations are found for stationary intersections of Q-lump-membranes of the
massive sigma model, but now generic solutions preserve either 1/8
supersymmetry or no supersymmetry, depending on the time orientation.
| [
{
"created": "Wed, 20 Mar 2002 12:11:38 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Mar 2002 14:14:20 GMT",
"version": "v2"
},
{
"created": "Tue, 14 May 2002 19:23:32 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Portugues",
"R.",
""
],
[
"Townsend",
"P. K.",
""
]
] | A first-order `BPS' equation is obtained for 1/8 supersymmetric intersections of soliton-membranes (lumps) of supersymmetric (4+1)-dimensional massless sigma models, and a special non-singular solution is found that preserves 1/4 supersymmetry. For 4-dimensional hyper-K\"ahler target spaces ($HK_4$) the BPS equation is shown to be the low-energy limit of the equation for a Cayley-calibrated 4-surface in $\bE^4\times HK_4$. Similar first-order equations are found for stationary intersections of Q-lump-membranes of the massive sigma model, but now generic solutions preserve either 1/8 supersymmetry or no supersymmetry, depending on the time orientation. |
hep-th/0406246 | Valentina Riva | G. Mussardo, V. Riva and G. Sotkov | Semiclassical Energy Levels of Sine-Gordon Model on a Strip with
Dirichlet Boundary Conditions | 14 pages, 7 figures | Nucl.Phys. B705 (2005) 548-562 | 10.1016/j.nuclphysb.2004.10.061 | ISAS/44/2004/FM | hep-th cond-mat.stat-mech math-ph math.MP | null | We derive analytic expressions of the semiclassical energy levels of
Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both
edges. They are obtained by initially selecting the classical backgrounds
relative to the vacuum or to the kink sectors, and then solving the Schodinger
equations (of Lame' type) associated to the stability condition. Explicit
formulas are presented for the classical solutions of both the vacuum and kink
states and for the energy levels at arbitrary values of the size of the system.
Their ultraviolet and infrared limits are also discussed.
| [
{
"created": "Mon, 28 Jun 2004 15:27:41 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Mussardo",
"G.",
""
],
[
"Riva",
"V.",
""
],
[
"Sotkov",
"G.",
""
]
] | We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed. |
hep-th/0208082 | Keisuke Ohashi | Taichiro kugo and Keisuke Ohashi | Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity | 22 pages, no figures, LaTeX, version to appear in PTP | Prog.Theor.Phys. 108 (2003) 1143-1164 | 10.1143/PTP.108.1143 | KUNS-1801 | hep-th hep-ph | null | An off-shell formulation of two distinct tensor multiplets,a massive tensor
multiplet and a tensor gauge multiplet, is presented in superconformal tensor
calculus in five-dimensional space-time. Both contain a rank 2 antisymmetric
tensor field, but there is no gauge symmetry in the former, while it is a gauge
field in the latter. Both multiplets commonly have 4 bosonic and 4 fermionic
{\em on-shell} modes, but the former consists of 16(boson)+16(fermion)
component fields while the latter consists of 8(boson)+8(fermion) component
fields.
| [
{
"created": "Mon, 12 Aug 2002 21:14:18 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2002 11:26:30 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Nov 2002 08:14:25 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"kugo",
"Taichiro",
""
],
[
"Ohashi",
"Keisuke",
""
]
] | An off-shell formulation of two distinct tensor multiplets,a massive tensor multiplet and a tensor gauge multiplet, is presented in superconformal tensor calculus in five-dimensional space-time. Both contain a rank 2 antisymmetric tensor field, but there is no gauge symmetry in the former, while it is a gauge field in the latter. Both multiplets commonly have 4 bosonic and 4 fermionic {\em on-shell} modes, but the former consists of 16(boson)+16(fermion) component fields while the latter consists of 8(boson)+8(fermion) component fields. |
1908.11220 | Timothy Adamo | Tim Adamo, Sumer Jaitly | Twistor fishnets | 39 pages, 11 figures. v2: references added; v3: published version | J.Phys.A: Math.Theor. 53: 055401, 2020 | 10.1088/1751-8121/ab5f88 | IMPERIAL-TP-TA-2019-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Four-dimensional conformal fishnet theory is an integrable scalar theory
which arises as a double scaling limit of $\gamma$-deformed maximally
supersymmetric Yang-Mills. We give a perturbative reformulation of
$\gamma$-deformed super-Yang-Mills theory in twistor space, and implement the
double scaling limit to obtain a twistor description of conformal fishnet
theory. The conformal fishnet theory retains an abelian gauge symmetry on
twistor space which is absent in space-time, allowing us to obtain
cohomological formulae for scattering amplitudes that manifest conformal
invariance. We study various classes of scattering amplitudes in twistor space
with this formalism.
| [
{
"created": "Thu, 29 Aug 2019 13:39:47 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Sep 2019 08:12:31 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Jan 2020 12:33:21 GMT",
"version": "v3"
}
] | 2020-01-29 | [
[
"Adamo",
"Tim",
""
],
[
"Jaitly",
"Sumer",
""
]
] | Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of $\gamma$-deformed maximally supersymmetric Yang-Mills. We give a perturbative reformulation of $\gamma$-deformed super-Yang-Mills theory in twistor space, and implement the double scaling limit to obtain a twistor description of conformal fishnet theory. The conformal fishnet theory retains an abelian gauge symmetry on twistor space which is absent in space-time, allowing us to obtain cohomological formulae for scattering amplitudes that manifest conformal invariance. We study various classes of scattering amplitudes in twistor space with this formalism. |
hep-th/0605262 | A. Yu. Petrov | M. A. Anacleto, J. R. Nascimento, A. Yu. Petrov | The Effective Potential in the Noncommutative Field Theories within the
Coherent States Approach | 15 pages, 2 figures, minor corrections | null | null | null | hep-th | null | We apply the coherent state approach to study the noncommutative scalar field
theory with $\phi^4$ self-interaction and Yukawa coupling to the spinor field.
We verify that, contrarily to the commutative result, the scattering amplitude
is ultraviolet finite. However, the $\frac{1}{\theta}$ singularities arise as
the noncommutative parameter $\theta$ tends to zero. For a special relation
between two couplings, these singularities are shown to be cancelled, partially
in the massive case and totally in the massless case.
| [
{
"created": "Fri, 26 May 2006 15:34:36 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2006 20:08:24 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Dec 2006 18:54:10 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Anacleto",
"M. A.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] | We apply the coherent state approach to study the noncommutative scalar field theory with $\phi^4$ self-interaction and Yukawa coupling to the spinor field. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, the $\frac{1}{\theta}$ singularities arise as the noncommutative parameter $\theta$ tends to zero. For a special relation between two couplings, these singularities are shown to be cancelled, partially in the massive case and totally in the massless case. |
2308.16548 | Filippo Contino | Carlo Branchina, Vincenzo Branchina, Filippo Contino, Arcangelo
Pernace | Does the Cosmological Constant really indicate the existence of a Dark
Dimension? | 9 pages, 1 Appendix | null | null | null | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by-nc-sa/4.0/ | It has been recently proposed that we might live in a universe with a single
compact extra dimension, whose mesoscopic size is dictated by the measured
value of the cosmological constant. Central to this proposal is the result that
in a $4+n$ dimensional theory with $n$ compact dimensions a tower of
Kaluza-Klein (KK) states contributes an amount $m_{_{\rm KK}}^4$ to the vacuum
energy $\rho_4$, where $m_{_{\rm KK}}$ is the KK scale of the tower. We show
that the result $\rho_4 \sim m_{_{\rm KK}}^4$ comes from a mistreatment of the
asymptotics of the loop momenta in the $4+n$ original theory. When the latter
are correctly treated, new UV-sensitive terms appear in $\rho_4$ that
invalidate the prediction of the dark dimension. We also show that, despite
recent claims to the contrary, it is always possible to perform consistent
effective field theory calculations that include only a finite number of tower
states.
| [
{
"created": "Thu, 31 Aug 2023 08:40:32 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Apr 2024 18:05:39 GMT",
"version": "v2"
}
] | 2024-04-17 | [
[
"Branchina",
"Carlo",
""
],
[
"Branchina",
"Vincenzo",
""
],
[
"Contino",
"Filippo",
""
],
[
"Pernace",
"Arcangelo",
""
]
] | It has been recently proposed that we might live in a universe with a single compact extra dimension, whose mesoscopic size is dictated by the measured value of the cosmological constant. Central to this proposal is the result that in a $4+n$ dimensional theory with $n$ compact dimensions a tower of Kaluza-Klein (KK) states contributes an amount $m_{_{\rm KK}}^4$ to the vacuum energy $\rho_4$, where $m_{_{\rm KK}}$ is the KK scale of the tower. We show that the result $\rho_4 \sim m_{_{\rm KK}}^4$ comes from a mistreatment of the asymptotics of the loop momenta in the $4+n$ original theory. When the latter are correctly treated, new UV-sensitive terms appear in $\rho_4$ that invalidate the prediction of the dark dimension. We also show that, despite recent claims to the contrary, it is always possible to perform consistent effective field theory calculations that include only a finite number of tower states. |
0809.0114 | Mohammad Reza Setare | M. R. Setare, and E. N. Saridakis | Quintom model with O($N$) symmetry | 13 pages, no figure | JCAP0809:026,2008 | 10.1088/1475-7516/2008/09/026 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the quintom model of dark energy in the generalized case where
the corresponding canonical and phantom fields possess O($N$) symmetries.
Assuming exponential potentials we find that this O$(N)$ quintom paradigm
exhibits novel properties comparing to the simple canonical and phantom
scenarios. In particular, we find that the universe cannot result in a
quintessence-type solution with $w>-1$, even in the cases where the phantom
field seems to be irrelevant. On the contrary, there are always late-time
attractors which correspond to accelerating universes with $w<-1$ and with a
recent crossing of the phantom divide, and for a very large area of the
parameter space they are the only ones. This is in contrast with the previous
simple-quintom results, where an accelerating universe is a possible late-time
stable solution but it is not guaranteed.
| [
{
"created": "Sun, 31 Aug 2008 12:13:02 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Setare",
"M. R.",
""
],
[
"Saridakis",
"E. N.",
""
]
] | We investigate the quintom model of dark energy in the generalized case where the corresponding canonical and phantom fields possess O($N$) symmetries. Assuming exponential potentials we find that this O$(N)$ quintom paradigm exhibits novel properties comparing to the simple canonical and phantom scenarios. In particular, we find that the universe cannot result in a quintessence-type solution with $w>-1$, even in the cases where the phantom field seems to be irrelevant. On the contrary, there are always late-time attractors which correspond to accelerating universes with $w<-1$ and with a recent crossing of the phantom divide, and for a very large area of the parameter space they are the only ones. This is in contrast with the previous simple-quintom results, where an accelerating universe is a possible late-time stable solution but it is not guaranteed. |
0902.0880 | Christoph Adam | C. Adam, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski | Compact shell solitons in K field theories | 10 pages, latex, 2 figures, change in title and introduction.
Discussion section, 2 figures and references added | J.Math.Phys.50:102303,2009 | 10.1063/1.3250873 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Some models providing shell-shaped static solutions with compact support
(compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding
exact solutions are calculated analytically. These solutions turn out to be
topological solitons, and may be classified as maps $S^3 \to S^3$ and suspended
Hopf maps, respectively. The Lagrangian of these models is given by a scalar
field with a non-standard kinetic term (K field) coupled to a pure Skyrme term
restricted to $S^2$, rised to the appropriate power to avoid the Derrick
scaling argument. Further, the existence of infinitely many exact shell
solitons is explained using the generalized integrability approach. Finally,
similar models allowing for non-topological compactons of the ball type in 3+1
dimensions are briefly discussed.
| [
{
"created": "Thu, 5 Feb 2009 12:31:34 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jun 2009 10:44:27 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Adam",
"C.",
""
],
[
"Klimas",
"P.",
""
],
[
"Sanchez-Guillen",
"J.",
""
],
[
"Wereszczynski",
"A.",
""
]
] | Some models providing shell-shaped static solutions with compact support (compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding exact solutions are calculated analytically. These solutions turn out to be topological solitons, and may be classified as maps $S^3 \to S^3$ and suspended Hopf maps, respectively. The Lagrangian of these models is given by a scalar field with a non-standard kinetic term (K field) coupled to a pure Skyrme term restricted to $S^2$, rised to the appropriate power to avoid the Derrick scaling argument. Further, the existence of infinitely many exact shell solitons is explained using the generalized integrability approach. Finally, similar models allowing for non-topological compactons of the ball type in 3+1 dimensions are briefly discussed. |
1101.3329 | Matthew Lippert | Niko Jokela, Matti Jarvinen, and Matthew Lippert | A holographic quantum Hall model at integer filling | 25 pages, 9 figures; v2 improved analysis of the phase structure
including a new figure, references added; v3 sign error in eqn. (12)
corrected | JHEP 1105 (2011) 101 | 10.1007/JHEP05(2011)101 | CCTP-2011-01 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a holographic model of a system of strongly-coupled fermions in
2+1 dimensions based on a D8-brane probe in the background of D2-branes. The
Minkowski embeddings of the D8-brane represent gapped quantum Hall states with
filling fraction one. By computing the conductivity and phase structure, we
find results qualitatively similar to the experimental observations and also to
the recent D3-D7' model.
| [
{
"created": "Mon, 17 Jan 2011 21:05:42 GMT",
"version": "v1"
},
{
"created": "Thu, 19 May 2011 14:53:08 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Aug 2011 15:04:50 GMT",
"version": "v3"
}
] | 2011-08-30 | [
[
"Jokela",
"Niko",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Lippert",
"Matthew",
""
]
] | We construct a holographic model of a system of strongly-coupled fermions in 2+1 dimensions based on a D8-brane probe in the background of D2-branes. The Minkowski embeddings of the D8-brane represent gapped quantum Hall states with filling fraction one. By computing the conductivity and phase structure, we find results qualitatively similar to the experimental observations and also to the recent D3-D7' model. |
0704.2613 | Alessandro Tomasiello | Alessandro Tomasiello | Reformulating Supersymmetry with a Generalized Dolbeault Operator | 30 pages, no figures. v2: minor corrections | JHEP0802:010,2008 | 10.1088/1126-6708/2008/02/010 | SU-ITP-07/06 | hep-th | null | The conditions for N=1 supersymmetry in type II supergravity have been
previously reformulated in terms of generalized complex geometry. We improve
that reformulation so as to completely eliminate the remaining explicit
dependence on the metric. Doing so involves a natural generalization of the
Dolbeault operator. As an application, we present some general arguments about
supersymmetric moduli. In particular, a subset of them are then classified by a
certain cohomology. We also argue that the Dolbeault reformulation should make
it easier to find existence theorems for the N=1 equations.
| [
{
"created": "Fri, 20 Apr 2007 03:13:35 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Dec 2007 17:09:31 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Tomasiello",
"Alessandro",
""
]
] | The conditions for N=1 supersymmetry in type II supergravity have been previously reformulated in terms of generalized complex geometry. We improve that reformulation so as to completely eliminate the remaining explicit dependence on the metric. Doing so involves a natural generalization of the Dolbeault operator. As an application, we present some general arguments about supersymmetric moduli. In particular, a subset of them are then classified by a certain cohomology. We also argue that the Dolbeault reformulation should make it easier to find existence theorems for the N=1 equations. |
2009.03325 | Lorenz Schlechter | Rafael \'Alvarez-Garc\'ia, Ralph Blumenhagen, Max Brinkmann, Lorenz
Schlechter | Small Flux Superpotentials for Type IIB Flux Vacua Close to a Conifold | 46 pages, 5 figures | Fortschr. Phys. 2020, 68, 2000088 | 10.1002/prop.202000088 | MPP-2020-165 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the recently proposed mechanism by Demirtas, Kim, McAllister
and Moritz arXiv:1912.10047 for the explicit construction of type IIB flux
vacua with $|W_0|\ll 1$ to the region close to the conifold locus in the
complex structure moduli space. For that purpose tools are developed to
determine the periods and the resulting prepotential close to such a
codimension one locus with all the remaining moduli still in the large complex
structure regime. As a proof of principle we present a working example for the
Calabi-Yau manifold $\mathbb{P}_{1,1,2,8,12}[24]$.
| [
{
"created": "Mon, 7 Sep 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Sep 2020 11:51:48 GMT",
"version": "v2"
}
] | 2022-01-14 | [
[
"Álvarez-García",
"Rafael",
""
],
[
"Blumenhagen",
"Ralph",
""
],
[
"Brinkmann",
"Max",
""
],
[
"Schlechter",
"Lorenz",
""
]
] | We generalize the recently proposed mechanism by Demirtas, Kim, McAllister and Moritz arXiv:1912.10047 for the explicit construction of type IIB flux vacua with $|W_0|\ll 1$ to the region close to the conifold locus in the complex structure moduli space. For that purpose tools are developed to determine the periods and the resulting prepotential close to such a codimension one locus with all the remaining moduli still in the large complex structure regime. As a proof of principle we present a working example for the Calabi-Yau manifold $\mathbb{P}_{1,1,2,8,12}[24]$. |
2312.12533 | Alfredo Gonz\'alez Lezcano | Alejandro Cabo-Bizet, Marina David and Alfredo Gonz\'alez Lezcano | Thermodynamics of black holes with probe D-branes | 24 pages, 3 figures | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | Understanding how the thermodynamic properties of a black hole are modified
when probed by D-branes is an important problem in AdS/CFT. This work focuses
on a recently proposed black hole/D3-brane system in AdS$_5\times$S$^5$, which
is dual to four-dimensional N=4 SYM in the presence of a two-dimensional
surface defect. The Laplace transform that extracts the asymptotic growth of
states in this defect CFT naturally defines a thermodynamic approach in the
gravitational side of the duality for which charges and entropy are real.
Studying the superconformal defect index in a large-charge expansion for all
values of~$N$, we compute the leading correction to the entropy of the combined
system, which matches precisely with its gravity counterpart.
| [
{
"created": "Tue, 19 Dec 2023 19:07:11 GMT",
"version": "v1"
}
] | 2023-12-21 | [
[
"Cabo-Bizet",
"Alejandro",
""
],
[
"David",
"Marina",
""
],
[
"Lezcano",
"Alfredo González",
""
]
] | Understanding how the thermodynamic properties of a black hole are modified when probed by D-branes is an important problem in AdS/CFT. This work focuses on a recently proposed black hole/D3-brane system in AdS$_5\times$S$^5$, which is dual to four-dimensional N=4 SYM in the presence of a two-dimensional surface defect. The Laplace transform that extracts the asymptotic growth of states in this defect CFT naturally defines a thermodynamic approach in the gravitational side of the duality for which charges and entropy are real. Studying the superconformal defect index in a large-charge expansion for all values of~$N$, we compute the leading correction to the entropy of the combined system, which matches precisely with its gravity counterpart. |
hep-th/0407244 | Dimitrios Tsimpis | Dimitrios Tsimpis | Curved 11D Supergeometry | 32 pages. v2: references and acknowledgment added. v3: includes a new
section (4.4) on maximally-supersymmetric spaces; to appear in JHEP | JHEP0411:087,2004 | 10.1088/1126-6708/2004/11/087 | null | hep-th | null | We examine the theta-expansion of the eleven-dimensional supervielbein. We
outline a systematic procedure which can be iterated to any order. We give
explicit expressions for the vielbein and three-form potential components up to
order ${\cal O}(\th^5)$. Furthermore we show that at each order in the number
of supergravity fields, in a perturbative expansion around flat space, it is
possible to obtain exact expressions to all orders in theta. We give the
explicit expression at linear order in the number of fields and we show how the
procedure can be iterated to any desired order. As a byproduct we obtain the
complete linear coupling of the supermembrane to the background supergravity
fields, covariantly in component form. We discuss the implications of our
results for M(atrix) theory.
| [
{
"created": "Wed, 28 Jul 2004 09:52:20 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Aug 2004 12:40:43 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Dec 2004 09:47:21 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Tsimpis",
"Dimitrios",
""
]
] | We examine the theta-expansion of the eleven-dimensional supervielbein. We outline a systematic procedure which can be iterated to any order. We give explicit expressions for the vielbein and three-form potential components up to order ${\cal O}(\th^5)$. Furthermore we show that at each order in the number of supergravity fields, in a perturbative expansion around flat space, it is possible to obtain exact expressions to all orders in theta. We give the explicit expression at linear order in the number of fields and we show how the procedure can be iterated to any desired order. As a byproduct we obtain the complete linear coupling of the supermembrane to the background supergravity fields, covariantly in component form. We discuss the implications of our results for M(atrix) theory. |
1502.06680 | Gerald V. Dunne | Gerald V. Dunne, M. Shifman and Mithat Unsal | IR Renormalons vs. Operator Product Expansion in Supersymmetric and
Related Gauge Theories | 10 pp, 3 figures | Phys. Rev. Lett. 114, 191601 (2015) | 10.1103/PhysRevLett.114.191601 | FTPI-MINN-15-07; UMN-TH-3421-15 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the "conspiracy" between infrared (IR) renormalons and condensates in
the operator product expansion for correlation functions to make predictions
concerning the structure of singularities in the Borel plane for the
perturbative series in quantum field theories with different levels of
supersymmetry. The same conspiracy can be used for establishing the absence of
condensates or IR renormalons in gauge theories with an IR conformal regime or
fully Higgsed gauge theories. The absence of the renormalon-induced factorial
divergence implies that instanton contributions (where present) must be
well-defined. We show that the conventional bubble-chain method for detecting
renormalon-induced factorial divergences in these theories is not sufficient.
| [
{
"created": "Tue, 24 Feb 2015 03:13:21 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Dunne",
"Gerald V.",
""
],
[
"Shifman",
"M.",
""
],
[
"Unsal",
"Mithat",
""
]
] | We use the "conspiracy" between infrared (IR) renormalons and condensates in the operator product expansion for correlation functions to make predictions concerning the structure of singularities in the Borel plane for the perturbative series in quantum field theories with different levels of supersymmetry. The same conspiracy can be used for establishing the absence of condensates or IR renormalons in gauge theories with an IR conformal regime or fully Higgsed gauge theories. The absence of the renormalon-induced factorial divergence implies that instanton contributions (where present) must be well-defined. We show that the conventional bubble-chain method for detecting renormalon-induced factorial divergences in these theories is not sufficient. |
1202.6421 | David Turton | Samir D. Mathur, David Turton | Momentum-carrying waves on D1-D5 microstate geometries | 24 pages, 4 figures | Nucl.Phys. B862 (2012) 764-780 | 10.1016/j.nuclphysb.2012.05.014 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | If one attempts to add momentum-carrying waves to a black string then the
solution develops a singularity at the horizon; this is a manifestation of the
'no hair theorem' for black objects. However individual microstates of a black
string do not have a horizon, and so the above theorem does not apply. We
construct a perturbation that adds momentum to a family of microstates of the
extremal D1-D5 string. This perturbation is analogous to the 'singleton' mode
localized at the boundary of AdS; to leading order it is pure gauge in the AdS
interior of the geometry.
| [
{
"created": "Wed, 29 Feb 2012 01:28:58 GMT",
"version": "v1"
}
] | 2012-08-10 | [
[
"Mathur",
"Samir D.",
""
],
[
"Turton",
"David",
""
]
] | If one attempts to add momentum-carrying waves to a black string then the solution develops a singularity at the horizon; this is a manifestation of the 'no hair theorem' for black objects. However individual microstates of a black string do not have a horizon, and so the above theorem does not apply. We construct a perturbation that adds momentum to a family of microstates of the extremal D1-D5 string. This perturbation is analogous to the 'singleton' mode localized at the boundary of AdS; to leading order it is pure gauge in the AdS interior of the geometry. |
hep-th/9807130 | Fabian Gaioli | Edgardo T. Garcia Alvarez and Fabian H. Gaioli | Covariant Hamiltonian formalisms for particles and antiparticles | 19 pages, Latex, to be published in Int. J. Theor. Phys | Int.J.Theor.Phys. 38 (1999) 243-257 | null | null | hep-th | null | The hyperplane and proper time formalisms are discussed mainly for the
spin-half particles in the quantum case. A connection between these covariant
Hamiltonian formalisms is established. It is showed that choosing the
space-like hyperplanes instantaneously orthogonal to the direction of motion of
the particle the proper time formalism is retrieved on the mass shell. As a
consequence, the relation between the St\"uckelberg-Feynman picture and the
standard canonical picture of quantum field theory is clarified.
| [
{
"created": "Fri, 17 Jul 1998 22:28:57 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alvarez",
"Edgardo T. Garcia",
""
],
[
"Gaioli",
"Fabian H.",
""
]
] | The hyperplane and proper time formalisms are discussed mainly for the spin-half particles in the quantum case. A connection between these covariant Hamiltonian formalisms is established. It is showed that choosing the space-like hyperplanes instantaneously orthogonal to the direction of motion of the particle the proper time formalism is retrieved on the mass shell. As a consequence, the relation between the St\"uckelberg-Feynman picture and the standard canonical picture of quantum field theory is clarified. |
hep-th/0405248 | Arvind Rajaraman | Jonathan L. Feng, Arvind Rajaraman, Fumihiro Takayama | Probing Gravitational Interactions of Elementary Particles | 6 pages, second prize in the 2004 Gravity Research Foundation essay
competition | Int.J.Mod.Phys.D13:2355-2359,2004; Gen.Rel.Grav.36:2575-2579,2004 | 10.1142/S0218271804006474 10.1023/B:GERG.0000048977.62657.41 | null | hep-th astro-ph hep-ex hep-ph | null | The gravitational interactions of elementary particles are suppressed by the
Planck scale M_P ~ 10^18 GeV and are typically expected to be far too weak to
be probed by experiments. We show that, contrary to conventional wisdom, such
interactions may be studied by particle physics experiments in the next few
years. As an example, we consider conventional supergravity with a stable
gravitino as the lightest supersymmetric particle. The next-lightest
supersymmetric particle (NLSP) decays to the gravitino through gravitational
interactions after about a year. This lifetime can be measured by stopping
NLSPs at colliders and observing their decays. Such studies will yield a
measurement of Newton's gravitational constant on unprecedentedly small scales,
shed light on dark matter, and provide a window on the early universe.
| [
{
"created": "Wed, 26 May 2004 20:49:13 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Feng",
"Jonathan L.",
""
],
[
"Rajaraman",
"Arvind",
""
],
[
"Takayama",
"Fumihiro",
""
]
] | The gravitational interactions of elementary particles are suppressed by the Planck scale M_P ~ 10^18 GeV and are typically expected to be far too weak to be probed by experiments. We show that, contrary to conventional wisdom, such interactions may be studied by particle physics experiments in the next few years. As an example, we consider conventional supergravity with a stable gravitino as the lightest supersymmetric particle. The next-lightest supersymmetric particle (NLSP) decays to the gravitino through gravitational interactions after about a year. This lifetime can be measured by stopping NLSPs at colliders and observing their decays. Such studies will yield a measurement of Newton's gravitational constant on unprecedentedly small scales, shed light on dark matter, and provide a window on the early universe. |
hep-th/9603017 | Frank Zimmerschied | Jian-Ge Zhou, F. Zimmerschied, J.--Q. Liang, H.J.W. Mueller--Kirsten | A new look at the RST model | 13 pages, LaTex | Mod.Phys.Lett. A11 (1996) 815-826 | 10.1142/S0217732396000825 | null | hep-th | null | The RST model is augmented by the addition of a scalar field and a boundary
term so that it is well-posed and local. Expressing the RST action in terms of
the ADM formulation, the constraint structure can be analysed completely. It is
shown that from the view point of local field theories, there exists a hidden
dynamical field in the RST model. Thanks to the presence of this hidden
dynamical field, we can reconstruct the closed algebra of the constraints which
guarantee the general invariance of the RST action. The resulting stress
tensors are recovered to be true tensor quantities. At the quantum level, the
cancellation condition for the total central charge is reexamined. Finally,
with the help of the hidden dynamical field, the fact that the semi-classical
static solution of the RST model has two independent parameters (P,M), whereas
for the classical CGHS model there is only one, can be explained.
| [
{
"created": "Tue, 5 Mar 1996 10:29:31 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Zhou",
"Jian-Ge",
""
],
[
"Zimmerschied",
"F.",
""
],
[
"Liang",
"J. --Q.",
""
],
[
"Mueller--Kirsten",
"H. J. W.",
""
]
] | The RST model is augmented by the addition of a scalar field and a boundary term so that it is well-posed and local. Expressing the RST action in terms of the ADM formulation, the constraint structure can be analysed completely. It is shown that from the view point of local field theories, there exists a hidden dynamical field in the RST model. Thanks to the presence of this hidden dynamical field, we can reconstruct the closed algebra of the constraints which guarantee the general invariance of the RST action. The resulting stress tensors are recovered to be true tensor quantities. At the quantum level, the cancellation condition for the total central charge is reexamined. Finally, with the help of the hidden dynamical field, the fact that the semi-classical static solution of the RST model has two independent parameters (P,M), whereas for the classical CGHS model there is only one, can be explained. |
hep-th/9906013 | Jian-Ge Zhou | Jian-Ge Zhou | Super 0-brane and GS Superstring Actions on AdS_2 \times S^2 | 16 pages, LaTex file, minor typos corrected, reference added | Nucl.Phys. B559 (1999) 92-102 | 10.1016/S0550-3213(99)00462-9 | null | hep-th | null | The super 0-brane and GS superstring actions on AdS$_2 \times S^2$ background
with 2-form flux are constructed by supercoset approach. We find the super
0-brane action contains two parameters which are interpreted as the electric
and magnetic charges of the super 0-brane. The obtained super 0-brane action
describes the BPS saturated dyonic superparticle moving on AdS$_2 \times S^2$
background. The WZ action contains the required coupling with 2-form flux. For
GS superstring, we find the string action on AdS$_2 \times S^2$ takes the same
form as those in AdS$_3 \times S^3$ and AdS$_5 \times S^5$ with RR field
background.
| [
{
"created": "Wed, 2 Jun 1999 09:51:42 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jun 1999 04:59:25 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Zhou",
"Jian-Ge",
""
]
] | The super 0-brane and GS superstring actions on AdS$_2 \times S^2$ background with 2-form flux are constructed by supercoset approach. We find the super 0-brane action contains two parameters which are interpreted as the electric and magnetic charges of the super 0-brane. The obtained super 0-brane action describes the BPS saturated dyonic superparticle moving on AdS$_2 \times S^2$ background. The WZ action contains the required coupling with 2-form flux. For GS superstring, we find the string action on AdS$_2 \times S^2$ takes the same form as those in AdS$_3 \times S^3$ and AdS$_5 \times S^5$ with RR field background. |
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