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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9308050
|
Branko Urosevic
|
Branko Uro\v{s}evi\'c
|
Scattering of Discrete States in Two Dimensional Open String Field
Theory
|
26 pages, BROWN-HET-917
|
Phys.Rev. D48 (1993) 5827-5837
|
10.1103/PhysRevD.48.5827
| null |
hep-th
| null |
This is the second in a series of papers devoted to open string field theory
in two dimensions. In this paper we aim to clarify the origin and the role of
discrete physical states in the theory. To this end, we study interactions of
discrete states and generic tachyons. In particular, we discuss at length four
point amplitudes. We show that behavior of the correlation functions is
governed by the number of generic tachyons involved and values of the kinematic
invariants $s$, $t$ and $u$. Divergence of certain classes of correlators is
shown to be the consequence of the fact certain kinematic invariants are
non--positive integers in that case. Explicit examples are included. We check
our results by standard conformal technique.
|
[
{
"created": "Tue, 10 Aug 1993 17:35:20 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Urošević",
"Branko",
""
]
] |
This is the second in a series of papers devoted to open string field theory in two dimensions. In this paper we aim to clarify the origin and the role of discrete physical states in the theory. To this end, we study interactions of discrete states and generic tachyons. In particular, we discuss at length four point amplitudes. We show that behavior of the correlation functions is governed by the number of generic tachyons involved and values of the kinematic invariants $s$, $t$ and $u$. Divergence of certain classes of correlators is shown to be the consequence of the fact certain kinematic invariants are non--positive integers in that case. Explicit examples are included. We check our results by standard conformal technique.
|
1803.03971
|
David Osten
|
Dieter Lust, David Osten
|
Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of
non-abelian T-duality
|
32+13 pages, v3: minor changes in citations
| null |
10.1007/JHEP05(2018)165
|
LMU-ASC 11/18, MPP-2018-35
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Based on the construction of Poisson-Lie T-dual $\sigma$-models from a common
parent action we study a candidate for the non-abelian respectively Poisson-Lie
T-duality group. This group generalises the well-known abelian T-duality group
O(d,d) and we explore some of its subgroups, namely factorised dualities, B-
and $\beta$-shifts. The corresponding duality transformed $\sigma$-models are
constructed and interpreted as generalised (non-geometric) flux backgrounds.
We also comment on generalisations of results and techniques known from
abelian T-duality. This includes the Lie algebra cohomology interpretation of
the corresponding non-geometric flux backgrounds, remarks on a double field
theory based on non-abelian T-duality and an application to the investigation
of Yang-Baxter deformations. This will show that homogeneously Yang-Baxter
deformed $\sigma$-models are exactly the non-abelian T-duality $\beta$-shifts
when applied to principal chiral models.
|
[
{
"created": "Sun, 11 Mar 2018 15:00:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2018 13:13:31 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Apr 2018 15:36:53 GMT",
"version": "v3"
}
] |
2018-07-04
|
[
[
"Lust",
"Dieter",
""
],
[
"Osten",
"David",
""
]
] |
Based on the construction of Poisson-Lie T-dual $\sigma$-models from a common parent action we study a candidate for the non-abelian respectively Poisson-Lie T-duality group. This group generalises the well-known abelian T-duality group O(d,d) and we explore some of its subgroups, namely factorised dualities, B- and $\beta$-shifts. The corresponding duality transformed $\sigma$-models are constructed and interpreted as generalised (non-geometric) flux backgrounds. We also comment on generalisations of results and techniques known from abelian T-duality. This includes the Lie algebra cohomology interpretation of the corresponding non-geometric flux backgrounds, remarks on a double field theory based on non-abelian T-duality and an application to the investigation of Yang-Baxter deformations. This will show that homogeneously Yang-Baxter deformed $\sigma$-models are exactly the non-abelian T-duality $\beta$-shifts when applied to principal chiral models.
|
2101.12119
|
Roberto Ruiz
|
Roberto Ruiz
|
The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain
$\sigma$-model
|
18 pages. v2: Minor corrections and improvements. v3: Minor
corrections and improvements. Manuscript corresponds to the published version
|
Phys. Rev. D 103, 106024 (2021)
|
10.1103/PhysRevD.103.106024
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The $\textrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten model realises
bosonic-string theory in $\textrm{AdS}_{3}$ with pure
Neveu-Schwarz-Neveu-Schwarz flux. We construct an effective action in the
semi-classical limit of the model, which corresponds to a
$\textrm{SL}(2,\mathbb{R})$ spin-chain $\sigma$-model. We adopt two
complementary points of view. Firstly, we consider the classical action. We
identify fast and slow target-space coordinates. We impose a gauge-fixing
condition to the former. By expanding the gauge-fixed action in an effective
coupling, we obtain the effective action for the slow coordinates. Secondly, we
consider the spin chain of the model. We postulate a set of coherent states to
express a transition amplitude in the spin chain as a path integral. We observe
that the temporal interval is discretised in terms of the step length of the
spatial interval. This relationship implies that the Landau-Lifshitz limit of
the spin chain involves both intervals. The limit yields a semi-classical path
integral over coherent states, wherein we identify the effective action again.
|
[
{
"created": "Thu, 28 Jan 2021 17:08:34 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Feb 2021 16:15:50 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jun 2021 16:09:49 GMT",
"version": "v3"
}
] |
2021-06-04
|
[
[
"Ruiz",
"Roberto",
""
]
] |
The $\textrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten model realises bosonic-string theory in $\textrm{AdS}_{3}$ with pure Neveu-Schwarz-Neveu-Schwarz flux. We construct an effective action in the semi-classical limit of the model, which corresponds to a $\textrm{SL}(2,\mathbb{R})$ spin-chain $\sigma$-model. We adopt two complementary points of view. Firstly, we consider the classical action. We identify fast and slow target-space coordinates. We impose a gauge-fixing condition to the former. By expanding the gauge-fixed action in an effective coupling, we obtain the effective action for the slow coordinates. Secondly, we consider the spin chain of the model. We postulate a set of coherent states to express a transition amplitude in the spin chain as a path integral. We observe that the temporal interval is discretised in terms of the step length of the spatial interval. This relationship implies that the Landau-Lifshitz limit of the spin chain involves both intervals. The limit yields a semi-classical path integral over coherent states, wherein we identify the effective action again.
|
1504.02465
|
Andr\'e Coimbra
|
Andr\'e Coimbra and Charles Strickland-Constable
|
Generalised Structures for $\mathcal{N}=1$ AdS Backgrounds
|
12 pages
| null |
10.1007/JHEP11(2016)092
|
IPhT-T15/35, ITP-UH-04/15
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We expand upon a claim made in a recent paper [arXiv:1411.5721] that generic
minimally supersymmetric AdS backgrounds of warped flux compactifications of
Type II and M theory can be understood as satisfying a straightforward weak
integrability condition in the language of $E_{d(d)}\times\mathbb{R}^+$
generalised geometry. Namely, they are spaces admitting a generalised
$G$-structure set by the Killing spinor and with constant singlet generalised
intrinsic torsion.
|
[
{
"created": "Thu, 9 Apr 2015 20:00:24 GMT",
"version": "v1"
}
] |
2016-12-21
|
[
[
"Coimbra",
"André",
""
],
[
"Strickland-Constable",
"Charles",
""
]
] |
We expand upon a claim made in a recent paper [arXiv:1411.5721] that generic minimally supersymmetric AdS backgrounds of warped flux compactifications of Type II and M theory can be understood as satisfying a straightforward weak integrability condition in the language of $E_{d(d)}\times\mathbb{R}^+$ generalised geometry. Namely, they are spaces admitting a generalised $G$-structure set by the Killing spinor and with constant singlet generalised intrinsic torsion.
|
hep-th/0606259
|
Stefan Vandoren
|
Sergei Alexandrov, Frank Saueressig, Stefan Vandoren
|
Membrane and fivebrane instantons from quaternionic geometry
|
32 pages
|
JHEP0609:040,2006
|
10.1088/1126-6708/2006/09/040
| null |
hep-th
| null |
We determine the one-instanton corrections to the universal hypermultiplet
moduli space coming both from Euclidean membranes and NS-fivebranes wrapping
the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely
encoded by a single function characterizing a generic four-dimensional
quaternion-Kahler metric without isometries. We give explicit solutions for
this function describing all one-instanton corrections, including the
fluctuations around the instanton to all orders in the string coupling
constant. In the semi-classical limit these results are in perfect agreement
with previous supergravity calculations.
|
[
{
"created": "Tue, 27 Jun 2006 16:41:30 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Alexandrov",
"Sergei",
""
],
[
"Saueressig",
"Frank",
""
],
[
"Vandoren",
"Stefan",
""
]
] |
We determine the one-instanton corrections to the universal hypermultiplet moduli space coming both from Euclidean membranes and NS-fivebranes wrapping the cycles of a (rigid) Calabi-Yau threefold. These corrections are completely encoded by a single function characterizing a generic four-dimensional quaternion-Kahler metric without isometries. We give explicit solutions for this function describing all one-instanton corrections, including the fluctuations around the instanton to all orders in the string coupling constant. In the semi-classical limit these results are in perfect agreement with previous supergravity calculations.
|
2209.11424
|
Kanghoon Lee
|
Kyoungho Cho, Kwangeon Kim, Kanghoon Lee
|
Perturbations of General Relativity to All Orders and the General
$n^{\rm th}$ Order Terms
|
39 pages, v2: reorganized the text, published version
| null |
10.1007/JHEP03(2023)112
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We derive all-order expressions for perturbations of the Einstein-Hilbert
action and the Einstein equation with the general $n$-th order terms. To this
end, we employ Cheung and Remmen's perturbation conventions both in tensor
density and the usual metric tensor formalisms, including the Einstein-dilaton
theory. Remarkably, we find minimal building blocks that generate the entire
perturbations for each of our formulations. We show that the number of terms of
perturbations grows linearly as the order of perturbations increases. We regard
our results as the reference and discuss how to derive perturbations in other
conventions from the reference. As a consistency check, we compute graviton
scattering amplitudes using the perturbiner method based on the perturbative
Einstein equation. Finally we discuss how to generalise the results to curved
backgrounds and incorporate additional matter.
|
[
{
"created": "Fri, 23 Sep 2022 05:51:25 GMT",
"version": "v1"
},
{
"created": "Sun, 7 Jan 2024 07:56:41 GMT",
"version": "v2"
}
] |
2024-01-09
|
[
[
"Cho",
"Kyoungho",
""
],
[
"Kim",
"Kwangeon",
""
],
[
"Lee",
"Kanghoon",
""
]
] |
We derive all-order expressions for perturbations of the Einstein-Hilbert action and the Einstein equation with the general $n$-th order terms. To this end, we employ Cheung and Remmen's perturbation conventions both in tensor density and the usual metric tensor formalisms, including the Einstein-dilaton theory. Remarkably, we find minimal building blocks that generate the entire perturbations for each of our formulations. We show that the number of terms of perturbations grows linearly as the order of perturbations increases. We regard our results as the reference and discuss how to derive perturbations in other conventions from the reference. As a consistency check, we compute graviton scattering amplitudes using the perturbiner method based on the perturbative Einstein equation. Finally we discuss how to generalise the results to curved backgrounds and incorporate additional matter.
|
hep-th/9703083
|
Felix Finster
|
Felix Finster
|
Local U(2,2) Symmetry in Relativistic Quantum Mechanics
|
18 pages, LaTeX, typo in second formula on page 6 corrected
(published version)
|
J.Math.Phys. 39 (1998) 6276-6290
|
10.1063/1.532638
| null |
hep-th dg-ga math-ph math.DG math.MP
| null |
Local gauge freedom in relativistic quantum mechanics is derived from a
measurement principle for space and time. For the Dirac equation, one obtains
local U(2,2) gauge transformations acting on the spinor index of the wave
functions. This local U(2,2) symmetry allows a unified description of
electrodynamics and general relativity as a classical gauge theory.
|
[
{
"created": "Tue, 11 Mar 1997 20:07:13 GMT",
"version": "v1"
},
{
"created": "Fri, 2 May 1997 15:59:26 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Sep 1998 16:58:39 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Feb 2007 20:44:50 GMT",
"version": "v4"
}
] |
2009-10-30
|
[
[
"Finster",
"Felix",
""
]
] |
Local gauge freedom in relativistic quantum mechanics is derived from a measurement principle for space and time. For the Dirac equation, one obtains local U(2,2) gauge transformations acting on the spinor index of the wave functions. This local U(2,2) symmetry allows a unified description of electrodynamics and general relativity as a classical gauge theory.
|
hep-th/0106168
|
Stefano Bellucci
|
S. Bellucci and V. Faraoni
|
Energy conditions and classical scalar fields
|
19 pages, LaTeX, PACS: 04.30.-w, 04.30.Nk, 04.50.+h
|
Nucl.Phys. B640 (2002) 453-468
|
10.1016/S0550-3213(02)00437-6
| null |
hep-th
| null |
Attention has been recently called upon the fact that the weak and null
energy conditions and the second law of thermodynamics are violated in wormhole
solutions of Einstein's theory with classical, nonminimally coupled, scalar
fields as material source. It is shown that the discussion is only meaningful
when ambiguities in the definitions of stress-energy tensor and energy density
of a nonminimally coupled scalar are resolved. The three possible approaches
are discussed with emphasis on the positivity of the respective energy
densities and covariant conservation laws. The root of the ambiguities is
traced to the energy localization problem for the gravitational field.
|
[
{
"created": "Tue, 19 Jun 2001 10:04:56 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Bellucci",
"S.",
""
],
[
"Faraoni",
"V.",
""
]
] |
Attention has been recently called upon the fact that the weak and null energy conditions and the second law of thermodynamics are violated in wormhole solutions of Einstein's theory with classical, nonminimally coupled, scalar fields as material source. It is shown that the discussion is only meaningful when ambiguities in the definitions of stress-energy tensor and energy density of a nonminimally coupled scalar are resolved. The three possible approaches are discussed with emphasis on the positivity of the respective energy densities and covariant conservation laws. The root of the ambiguities is traced to the energy localization problem for the gravitational field.
|
2105.06913
|
Thibaut Coudarchet
|
Thibaut Coudarchet, Emilian Dudas and Herv\'e Partouche
|
Geometry of orientifold vacua and supersymmetry breaking
|
1+37 pages, 2 figures. References added
| null |
10.1007/JHEP07(2021)104
|
CPHT-RR026.032021
|
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Starting from a peculiar orientifold projection proposed long ago by
Angelantonj and Cardella, we elaborate on a novel perturbative scenario that
involves only D-branes, together with the two types of orientifold planes ${\rm
O}_{\pm}$ and anti-orientifold planes $\overline{{\rm O}}_{\pm}$. We elucidate
the microscopic ingredients of such models, connecting them to a novel
realization of brane supersymmetry breaking. Depending on the position of the
D-branes in the internal space, supersymmetry can be broken at the string scale
on branes, or alternatively only at the massive level. The main novelty of this
construction is that it features no NS-NS disk tadpoles, while avoiding
open-string instabilities. The one-loop potential, which depends on the
positions of the D-branes, is minimized for maximally broken, nonlinearly
realized supersymmetry. The orientifold projection and the effective field
theory description reveal a soft breaking of supersymmetry in the closed-string
sector. In such models it is possible to decouple the gravitino mass from the
value of the scalar potential, while avoiding brane instabilities.
|
[
{
"created": "Fri, 14 May 2021 15:55:42 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2021 08:57:30 GMT",
"version": "v2"
}
] |
2021-07-28
|
[
[
"Coudarchet",
"Thibaut",
""
],
[
"Dudas",
"Emilian",
""
],
[
"Partouche",
"Hervé",
""
]
] |
Starting from a peculiar orientifold projection proposed long ago by Angelantonj and Cardella, we elaborate on a novel perturbative scenario that involves only D-branes, together with the two types of orientifold planes ${\rm O}_{\pm}$ and anti-orientifold planes $\overline{{\rm O}}_{\pm}$. We elucidate the microscopic ingredients of such models, connecting them to a novel realization of brane supersymmetry breaking. Depending on the position of the D-branes in the internal space, supersymmetry can be broken at the string scale on branes, or alternatively only at the massive level. The main novelty of this construction is that it features no NS-NS disk tadpoles, while avoiding open-string instabilities. The one-loop potential, which depends on the positions of the D-branes, is minimized for maximally broken, nonlinearly realized supersymmetry. The orientifold projection and the effective field theory description reveal a soft breaking of supersymmetry in the closed-string sector. In such models it is possible to decouple the gravitino mass from the value of the scalar potential, while avoiding brane instabilities.
|
1912.08793
|
Sanjit Shashi
|
Elena Caceres, Arnab Kundu, Ayan K. Patra, Sanjit Shashi
|
A Killing Vector Treatment of Multiboundary Wormholes
|
32 pages, 10 figures; v3: altered the introduction and fixed some
minor typos, version to appear in JHEP
| null |
10.1007/JHEP02(2020)149
|
UTTG-16-19
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The two-sided BTZ black hole has been instrumental in elucidating several
aspects of AdS/CFT. Similarly, multiboundary wormholes provide a useful and
rich arena in which probing questions of quantum gravity can be posed and
explored. In this work, we find the explicit forms of the Killing vectors
needed to construct three-boundary wormholes, with and without rotation, as
quotients of AdS$_3$. We ensure that our method captures the full moduli space
of such wormholes and elaborate on the generalization of our procedure to more
exotic multiboundary spaces, including higher genus.
|
[
{
"created": "Wed, 18 Dec 2019 18:47:01 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jan 2020 18:34:54 GMT",
"version": "v2"
},
{
"created": "Tue, 25 Feb 2020 17:46:19 GMT",
"version": "v3"
}
] |
2020-02-26
|
[
[
"Caceres",
"Elena",
""
],
[
"Kundu",
"Arnab",
""
],
[
"Patra",
"Ayan K.",
""
],
[
"Shashi",
"Sanjit",
""
]
] |
The two-sided BTZ black hole has been instrumental in elucidating several aspects of AdS/CFT. Similarly, multiboundary wormholes provide a useful and rich arena in which probing questions of quantum gravity can be posed and explored. In this work, we find the explicit forms of the Killing vectors needed to construct three-boundary wormholes, with and without rotation, as quotients of AdS$_3$. We ensure that our method captures the full moduli space of such wormholes and elaborate on the generalization of our procedure to more exotic multiboundary spaces, including higher genus.
|
1507.01612
|
Pramod Shukla
|
Pramod Shukla
|
Implementing odd-axions in dimensional oxidation of non-geometric type
IIB action
|
version 3: 30 pages, discussion on gauge kinetic coupling added on
page 19, typos fixed, and to appear in Nuclear Physics B
|
Nuclear Physics B 902 (2016) 458-482
|
10.1016/j.nuclphysb.2015.11.020
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a setup of type IIB superstring compactification on an orientifold of a
${\mathbb T}^6/{\mathbb Z}_4$ sixfold, the presence of geometric flux
($\omega$) and non-geometric fluxes ($Q, R$) is implemented along with the
standard NS-NS and RR three-form fluxes ($H, F$). After computing the F/D-term
contributions to the ${\cal N}=1$ four dimensional effective scalar potential,
we rearrange the same into `suitable' pieces by using a set of new generalized
flux orbits. Subsequently, we dimensionally oxidize the various pieces of the
total four dimensional scalar potential to guess their ten-dimensional origin.
|
[
{
"created": "Mon, 6 Jul 2015 20:10:56 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Aug 2015 19:36:16 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Nov 2015 22:50:47 GMT",
"version": "v3"
}
] |
2016-01-27
|
[
[
"Shukla",
"Pramod",
""
]
] |
In a setup of type IIB superstring compactification on an orientifold of a ${\mathbb T}^6/{\mathbb Z}_4$ sixfold, the presence of geometric flux ($\omega$) and non-geometric fluxes ($Q, R$) is implemented along with the standard NS-NS and RR three-form fluxes ($H, F$). After computing the F/D-term contributions to the ${\cal N}=1$ four dimensional effective scalar potential, we rearrange the same into `suitable' pieces by using a set of new generalized flux orbits. Subsequently, we dimensionally oxidize the various pieces of the total four dimensional scalar potential to guess their ten-dimensional origin.
|
1707.06235
|
Jan Manschot
|
Georgios Korpas, Jan Manschot
|
Donaldson-Witten theory and indefinite theta functions
|
23 pages + appendices, comments welcome. v2: published version
| null |
10.1007/JHEP11(2017)083
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider partition functions with insertions of surface operators of
topologically twisted N=2, SU(2) supersymmetric Yang-Mills theory, or
Donaldson-Witten theory for short, on a four-manifold. If the metric of the
compact four-manifold has positive scalar curvature, Moore and Witten have
shown that the partition function is completely determined by the integral over
the Coulomb branch parameter $a$, while more generally the Coulomb branch
integral captures the wall-crossing behavior of both Donaldson polynomials and
Seiberg-Witten invariants. We show that after addition of a Q-exact surface
operator to the Moore-Witten integrand, the integrand can be written as a total
derivative to the anti-holomorphic coordinate $\bar a$ using Zwegers'
indefinite theta functions. In this way, we reproduce G\"ottsche's expressions
for Donaldson invariants of rational surfaces in terms of indefinite theta
functions for any choice of metric.
|
[
{
"created": "Wed, 19 Jul 2017 18:00:03 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2017 10:00:14 GMT",
"version": "v2"
}
] |
2017-12-11
|
[
[
"Korpas",
"Georgios",
""
],
[
"Manschot",
"Jan",
""
]
] |
We consider partition functions with insertions of surface operators of topologically twisted N=2, SU(2) supersymmetric Yang-Mills theory, or Donaldson-Witten theory for short, on a four-manifold. If the metric of the compact four-manifold has positive scalar curvature, Moore and Witten have shown that the partition function is completely determined by the integral over the Coulomb branch parameter $a$, while more generally the Coulomb branch integral captures the wall-crossing behavior of both Donaldson polynomials and Seiberg-Witten invariants. We show that after addition of a Q-exact surface operator to the Moore-Witten integrand, the integrand can be written as a total derivative to the anti-holomorphic coordinate $\bar a$ using Zwegers' indefinite theta functions. In this way, we reproduce G\"ottsche's expressions for Donaldson invariants of rational surfaces in terms of indefinite theta functions for any choice of metric.
|
1707.02420
|
Tomoki Nosaka
|
Sanefumi Moriyama, Tomoki Nosaka, Katsuya Yano
|
Superconformal Chern-Simons Theories from del Pezzo Geometries
|
47 pages; v3: typos corrected, published version
|
JHEP 1711 (2017) 089
|
10.1007/JHEP11(2017)089
|
OCU-PHYS 467, KIAS-P17046
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present an explicit expression for the grand potential of the U(N)^3
superconformal Chern-Simons theory with the Chern-Simons levels being (k,0,-k).
From the viewpoint of the Newton polygon, it is expected that the grand
potential is given by the free energy of the topological string theory on the
local D_5 del Pezzo geometry, though the explicit identification was a puzzle
for years. We show how the expectation is realized explicitly. As a bonus, we
can also study the Z_2 orbifold of this theory and find the grand potential is
now given in terms of the local E_7 del Pezzo geometry.
|
[
{
"created": "Sat, 8 Jul 2017 09:25:32 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Aug 2017 12:11:11 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Nov 2017 10:57:26 GMT",
"version": "v3"
}
] |
2017-11-27
|
[
[
"Moriyama",
"Sanefumi",
""
],
[
"Nosaka",
"Tomoki",
""
],
[
"Yano",
"Katsuya",
""
]
] |
We present an explicit expression for the grand potential of the U(N)^3 superconformal Chern-Simons theory with the Chern-Simons levels being (k,0,-k). From the viewpoint of the Newton polygon, it is expected that the grand potential is given by the free energy of the topological string theory on the local D_5 del Pezzo geometry, though the explicit identification was a puzzle for years. We show how the expectation is realized explicitly. As a bonus, we can also study the Z_2 orbifold of this theory and find the grand potential is now given in terms of the local E_7 del Pezzo geometry.
|
0710.0894
|
David Kutasov
|
Amit Giveon and David Kutasov
|
Stable and Metastable Vacua in SQCD
|
23 pages; v2: references added
|
Nucl.Phys.B796:25-43,2008
|
10.1016/j.nuclphysb.2007.11.037
| null |
hep-th
| null |
We study deformations of N=1 supersymmetric QCD that exhibit a rich landscape
of supersymmetric and non-supersymmetric vacua.
|
[
{
"created": "Wed, 3 Oct 2007 21:32:40 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Oct 2007 17:27:11 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] |
We study deformations of N=1 supersymmetric QCD that exhibit a rich landscape of supersymmetric and non-supersymmetric vacua.
|
hep-th/9506116
| null |
A. C. Petkou
|
C_{T} and C_{J} up to next-to-leading order in 1/N in the Conformally
Invariant O(N) Vector Model for 2<d<4
|
12 pages Latex + 1 uuencoded .ps file
|
Phys.Lett. B359 (1995) 101-107
|
10.1016/0370-2693(95)00936-F
|
THES-TP 95/9
|
hep-th
| null |
Using Operator Product Expansions and a graphical ansatz for the four-point
function of the fundamental field \phi^{\alpha}(x) in the conformally invariant
O(N) vector model, we calculate the next-to-leading order in 1/N values of the
quantities C_{T} and C_{J}. We check the results against what is expected from
possible generalisations of the C- and k-theorems in higher dimensions and also
against known three-loop calculations in a O(N) invariant \phi^{4} theory for
d=4-\epsilon.
|
[
{
"created": "Mon, 19 Jun 1995 09:28:05 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Petkou",
"A. C.",
""
]
] |
Using Operator Product Expansions and a graphical ansatz for the four-point function of the fundamental field \phi^{\alpha}(x) in the conformally invariant O(N) vector model, we calculate the next-to-leading order in 1/N values of the quantities C_{T} and C_{J}. We check the results against what is expected from possible generalisations of the C- and k-theorems in higher dimensions and also against known three-loop calculations in a O(N) invariant \phi^{4} theory for d=4-\epsilon.
|
2112.10605
|
Yang Zhang
|
Johannes Henn, Tiziano Peraro, Yingxuan Xu, Yang Zhang
|
A first look at the function space for planar two-loop six-particle
Feynman integrals
|
minor corrections, updated reference list
| null |
10.1007/JHEP03(2022)056
|
MPP-2021-200, USTC-ICTS/PCFT-21-36, HU-EP-21/57-RTG
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-loop corrections to scattering amplitudes are crucial theoretical input
for collider physics. Recent years have seen tremendous advances in computing
Feynman integrals, scattering amplitudes, and cross sections for five-particle
processes. In this paper, we initiate the study of the function space for
planar two-loop six-particle processes. We study all genuine six-particle
Feynman integrals, and derive the differential equations they satisfy on
maximal cuts. Performing a leading singularity analysis in momentum space, and
in Baikov representation, we find an integral basis that puts the differential
equations into canonical form. The corresponding differential equation in the
eight independent kinematic variables is derived with the finite-field
reconstruction method and the symbol letters are identified. We identify the
dual conformally invariant hexagon alphabet known from maximally supersymmetric
Yang-Mills theory as a subset of our alphabet. This paper constitutes an
important step in the analytic calculation of planar two-loop six-particle
Feynman integrals.
|
[
{
"created": "Mon, 20 Dec 2021 15:19:58 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Jan 2022 07:25:50 GMT",
"version": "v2"
}
] |
2022-03-30
|
[
[
"Henn",
"Johannes",
""
],
[
"Peraro",
"Tiziano",
""
],
[
"Xu",
"Yingxuan",
""
],
[
"Zhang",
"Yang",
""
]
] |
Two-loop corrections to scattering amplitudes are crucial theoretical input for collider physics. Recent years have seen tremendous advances in computing Feynman integrals, scattering amplitudes, and cross sections for five-particle processes. In this paper, we initiate the study of the function space for planar two-loop six-particle processes. We study all genuine six-particle Feynman integrals, and derive the differential equations they satisfy on maximal cuts. Performing a leading singularity analysis in momentum space, and in Baikov representation, we find an integral basis that puts the differential equations into canonical form. The corresponding differential equation in the eight independent kinematic variables is derived with the finite-field reconstruction method and the symbol letters are identified. We identify the dual conformally invariant hexagon alphabet known from maximally supersymmetric Yang-Mills theory as a subset of our alphabet. This paper constitutes an important step in the analytic calculation of planar two-loop six-particle Feynman integrals.
|
0807.1392
|
Makoto Natsuume
|
Makoto Natsuume
|
Causal hydrodynamics and the membrane paradigm
|
8 pages, ReVTeX4
|
Phys.Rev.D78:066010,2008
|
10.1103/PhysRevD.78.066010
|
KEK-TH-1260
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain the relaxation time for the shear viscous stress for various
geometries using the "membrane paradigm" formula proposed recently. We consider
the generic Schwarzschild-AdS black holes (SAdS), the generic Dp-brane, the
Klebanov-Tseytlin (KT) geometry, and the N=2* theory. The formula is the "shear
mode" result and is not fully trustable, but it may be helpful to learn some
generic behaviors about the relaxation time. For example, a simple formula
summarizes all known results for SAdS, and a single expression summarizes the
results for the Dp-brane and the KT geometry.
|
[
{
"created": "Wed, 9 Jul 2008 08:52:14 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Sep 2008 03:54:43 GMT",
"version": "v2"
}
] |
2009-02-23
|
[
[
"Natsuume",
"Makoto",
""
]
] |
We obtain the relaxation time for the shear viscous stress for various geometries using the "membrane paradigm" formula proposed recently. We consider the generic Schwarzschild-AdS black holes (SAdS), the generic Dp-brane, the Klebanov-Tseytlin (KT) geometry, and the N=2* theory. The formula is the "shear mode" result and is not fully trustable, but it may be helpful to learn some generic behaviors about the relaxation time. For example, a simple formula summarizes all known results for SAdS, and a single expression summarizes the results for the Dp-brane and the KT geometry.
|
0912.4199
|
Ahmad Sheykhi
|
A. Sheykhi, M. H. Dehghani and S. H. Hendi
|
Thermodynamic instability of charged dilaton black holes in AdS spaces
|
14 pages, 6 figures
|
Phys.Rev.D81:084040,2010
|
10.1103/PhysRevD.81.084040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study thermodynamic instability of a class of $(n+1)$-dimensional charged
dilaton black holes in the background of anti-de Sitter universe. We calculate
the quasilocal mass of the AdS dilaton black hole through the use of the
subtraction method of Brown and York. We find a Smarr-type formula and perform
a stability analysis in the canonical ensemble and disclose the effect of the
dilaton field on the thermal stability of the solutions. Our study shows that
the solutions are thermally stable for small $\alpha$, while for large $\alpha$
the system has an unstable phase, where $\alpha $ is a coupling constant
between the dilaton and matter field.
|
[
{
"created": "Mon, 21 Dec 2009 16:14:02 GMT",
"version": "v1"
},
{
"created": "Sat, 24 Apr 2010 05:39:27 GMT",
"version": "v2"
}
] |
2010-05-12
|
[
[
"Sheykhi",
"A.",
""
],
[
"Dehghani",
"M. H.",
""
],
[
"Hendi",
"S. H.",
""
]
] |
We study thermodynamic instability of a class of $(n+1)$-dimensional charged dilaton black holes in the background of anti-de Sitter universe. We calculate the quasilocal mass of the AdS dilaton black hole through the use of the subtraction method of Brown and York. We find a Smarr-type formula and perform a stability analysis in the canonical ensemble and disclose the effect of the dilaton field on the thermal stability of the solutions. Our study shows that the solutions are thermally stable for small $\alpha$, while for large $\alpha$ the system has an unstable phase, where $\alpha $ is a coupling constant between the dilaton and matter field.
|
1901.09626
|
Matthias Weissenbacher
|
Matthias Weissenbacher
|
$\large{\alpha'}$-Corrections and de Sitter Vacua - a Mirage?
|
9 pages
| null |
10.1016/j.physletb.2019.03.044
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we analyze the role of $\alpha '$-corrections to type IIB
orientifold compactifications in K\"ahler moduli stabilization and inflation.
In particular, we propose a model independent scenario to achieve
non-supersymmetric Minkowski and de Sitter vacua for geometric backgrounds with
positive Euler-characteristic and generic number of K\"ahler moduli. The vacua
are obtained by a tuning of the flux superpotential. Moreover, in the
one-modulus case we argue for a mechanisms to achieve model independent
slow-roll.
|
[
{
"created": "Mon, 28 Jan 2019 12:31:43 GMT",
"version": "v1"
}
] |
2019-03-27
|
[
[
"Weissenbacher",
"Matthias",
""
]
] |
In this work we analyze the role of $\alpha '$-corrections to type IIB orientifold compactifications in K\"ahler moduli stabilization and inflation. In particular, we propose a model independent scenario to achieve non-supersymmetric Minkowski and de Sitter vacua for geometric backgrounds with positive Euler-characteristic and generic number of K\"ahler moduli. The vacua are obtained by a tuning of the flux superpotential. Moreover, in the one-modulus case we argue for a mechanisms to achieve model independent slow-roll.
|
1410.3273
|
Arkady Tseytlin
|
M. Beccaria and A.A. Tseytlin
|
Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal
anomalies and AdS/CFT
|
56 pages. v2,v3: minor corrections, references added
| null |
10.1007/JHEP11(2014)114
|
Imperial-TP-AT-2014-05
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider general-symmetry higher spin fields in AdS_5 and derive
expressions for their one-loop corrections to vacuum energy E and the
associated 4d boundary conformal anomaly a-coefficient. We a propose a similar
expression for the second conformal anomaly c-coefficient. We show that all the
three quantities (E, a, c) computed for N=8 gauged 5d supergravity are -1/2 of
the values for N=4 conformal 4d supergravity and also twice the values for N=4
Maxwell multiplet. This gives 5d derivation of the fact that the system of N=4
conformal supergravity and four N=4 Maxwell multiplets is anomaly free. The
values of (E, a, c) for the states at level p of Kaluza-Klein tower of 10d type
IIB supergravity compactified on S^5 turn out to be equal to those for p copies
of N=4 Maxwell multiplets. This may be related to the fact that these states
appear in the tensor product of p superdoubletons. Under a natural
regularization of the sum over p, the full 10d supergravity contribution is
then minus that of the Maxwell multiplet, in agreement with the standard
adjoint AdS/CFT duality (SU(n) SYM contribution is n^2-1 of one Maxwell
multiplet). We also verify the matching of (E, a, c) for spin 0 and 1/2
boundary theory cases of vectorial AdS/CFT duality. The consistency conditions
for vectorial AdS/CFT turn out to be equivalent to the cancellation of
anomalies in the closely related 4d conformal higher spin theories. In
addition, we study novel example of vectorial AdS/CFT duality when the boundary
theory is described by free spin 1 fields and is dual to a particular higher
spin theory in AdS_5 containing fields in mixed-symmetry representations. We
also discuss its supersymmetric generalizations.
|
[
{
"created": "Mon, 13 Oct 2014 12:08:09 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Oct 2014 15:50:33 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Nov 2014 16:57:05 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Beccaria",
"M.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We consider general-symmetry higher spin fields in AdS_5 and derive expressions for their one-loop corrections to vacuum energy E and the associated 4d boundary conformal anomaly a-coefficient. We a propose a similar expression for the second conformal anomaly c-coefficient. We show that all the three quantities (E, a, c) computed for N=8 gauged 5d supergravity are -1/2 of the values for N=4 conformal 4d supergravity and also twice the values for N=4 Maxwell multiplet. This gives 5d derivation of the fact that the system of N=4 conformal supergravity and four N=4 Maxwell multiplets is anomaly free. The values of (E, a, c) for the states at level p of Kaluza-Klein tower of 10d type IIB supergravity compactified on S^5 turn out to be equal to those for p copies of N=4 Maxwell multiplets. This may be related to the fact that these states appear in the tensor product of p superdoubletons. Under a natural regularization of the sum over p, the full 10d supergravity contribution is then minus that of the Maxwell multiplet, in agreement with the standard adjoint AdS/CFT duality (SU(n) SYM contribution is n^2-1 of one Maxwell multiplet). We also verify the matching of (E, a, c) for spin 0 and 1/2 boundary theory cases of vectorial AdS/CFT duality. The consistency conditions for vectorial AdS/CFT turn out to be equivalent to the cancellation of anomalies in the closely related 4d conformal higher spin theories. In addition, we study novel example of vectorial AdS/CFT duality when the boundary theory is described by free spin 1 fields and is dual to a particular higher spin theory in AdS_5 containing fields in mixed-symmetry representations. We also discuss its supersymmetric generalizations.
|
hep-th/0005191
|
Kurt Just
|
Kurt Just and James Thevenot
|
Pauli Terms Must Be Absent In Dirac Equation
|
10 pages
| null | null | null |
hep-th
| null |
It should be of interest, whether Dirac's equation involves all 16 basis
elements of his Clifford algebra $Cl_D.$ These include the 6 `tensorial'
$\sigma^{\mu\nu}$ with which the `Pauli terms' are formed. We find that these
violate a basic axiom of any *-algebra, when Dirac's $\Psi$ is canonical. Then
the Dirac operator is spanned only by the 10 elements
$1,i\gamma_5,\gamma^\mu,\gamma^\mu\gamma_5$ (which don't form a basis of $Cl_D$
because the $\sigma^{\mu\nu}$ are excluded).
|
[
{
"created": "Sat, 20 May 2000 20:18:01 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Just",
"Kurt",
""
],
[
"Thevenot",
"James",
""
]
] |
It should be of interest, whether Dirac's equation involves all 16 basis elements of his Clifford algebra $Cl_D.$ These include the 6 `tensorial' $\sigma^{\mu\nu}$ with which the `Pauli terms' are formed. We find that these violate a basic axiom of any *-algebra, when Dirac's $\Psi$ is canonical. Then the Dirac operator is spanned only by the 10 elements $1,i\gamma_5,\gamma^\mu,\gamma^\mu\gamma_5$ (which don't form a basis of $Cl_D$ because the $\sigma^{\mu\nu}$ are excluded).
|
2004.04309
|
Michael Zlotnikov
|
Y. T. Albert Law, Michael Zlotnikov
|
Massive Spinning Bosons on the Celestial Sphere
|
26 pages, no figures, published
|
J. High Energ. Phys. (2020) 2020: 079
|
10.1007/JHEP06(2020)079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is
described, enabling the map of Minkowski space amplitudes with massive spinning
external legs to the celestial sphere to be performed. An integral
representation for the conformal primary wave function (CPW) of massive
spinning bosons on the celestial sphere is derived explicitly for spin-one and
-two. By analogy with the spin-zero case, the spinning bulk-to-boundary
propagator on Euclidean AdS is employed to extend the massive CPW integral
representation to arbitrary integer spin, and to describe the appropriate
inverse transform of massive spinning CPWs back to the plane wave basis in
Minkowski space. Subsequently, a massive spin-$s$ momentum operator
representation on the celestial sphere is determined, and used in conjunction
with known Lorentz generators to derive Poincar\'e symmetry constraints on
generic massive spinning two-, three- and four-point celestial amplitude
structures. Finally, as a consistency check, three-point Minkowski space
amplitudes of two massless scalars and a spin-one or -two massive boson are
explicitly mapped to the celestial sphere, and the resulting three-point
function coefficients are confirmed to be in exact agreement with the results
obtained from Poincar\'e symmetry constraints.
|
[
{
"created": "Thu, 9 Apr 2020 00:33:46 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Jun 2020 17:38:28 GMT",
"version": "v2"
}
] |
2020-06-15
|
[
[
"Law",
"Y. T. Albert",
""
],
[
"Zlotnikov",
"Michael",
""
]
] |
A natural extension of the Pasterski-Shao-Strominger (PSS) prescription is described, enabling the map of Minkowski space amplitudes with massive spinning external legs to the celestial sphere to be performed. An integral representation for the conformal primary wave function (CPW) of massive spinning bosons on the celestial sphere is derived explicitly for spin-one and -two. By analogy with the spin-zero case, the spinning bulk-to-boundary propagator on Euclidean AdS is employed to extend the massive CPW integral representation to arbitrary integer spin, and to describe the appropriate inverse transform of massive spinning CPWs back to the plane wave basis in Minkowski space. Subsequently, a massive spin-$s$ momentum operator representation on the celestial sphere is determined, and used in conjunction with known Lorentz generators to derive Poincar\'e symmetry constraints on generic massive spinning two-, three- and four-point celestial amplitude structures. Finally, as a consistency check, three-point Minkowski space amplitudes of two massless scalars and a spin-one or -two massive boson are explicitly mapped to the celestial sphere, and the resulting three-point function coefficients are confirmed to be in exact agreement with the results obtained from Poincar\'e symmetry constraints.
|
1711.00454
|
Andrew Frey
|
Brad Cownden, Nils Deppe, and Andrew R. Frey
|
Phase Diagram of Stability for Massive Scalars in Anti-de Sitter
Spacetime
|
23pp; v4. added analysis, updated figures, matches version published
in PRD
|
Phys. Rev. D 102, 026015 (2020)
|
10.1103/PhysRevD.102.026015
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We diagram the behavior of 5-dimensional anti-de Sitter spacetime against
horizon formation in the gravitational collapse of a scalar field, treating the
scalar field mass and width of initial data as free parameters, which we call
the stability phase diagram. We find that the class of stable initial data
becomes larger and shifts to smaller widths as the field mass increases. In
addition to classifying initial data as stable or unstable, we identify two
other classes based on nonperturbative behavior. The class of metastable
initial data forms a horizon over longer time scales than suggested by the
lowest order perturbation theory at computationally accessible amplitudes, and
irregular initial data can exhibit non-monotonic and possibly chaotic behavior
in the horizon formation times. Our results include evidence for chaotic
behavior even in the collapse of a massless scalar field.
|
[
{
"created": "Wed, 1 Nov 2017 17:41:04 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2018 19:42:52 GMT",
"version": "v2"
},
{
"created": "Tue, 21 Aug 2018 20:24:00 GMT",
"version": "v3"
},
{
"created": "Wed, 15 Jul 2020 01:39:47 GMT",
"version": "v4"
}
] |
2020-07-16
|
[
[
"Cownden",
"Brad",
""
],
[
"Deppe",
"Nils",
""
],
[
"Frey",
"Andrew R.",
""
]
] |
We diagram the behavior of 5-dimensional anti-de Sitter spacetime against horizon formation in the gravitational collapse of a scalar field, treating the scalar field mass and width of initial data as free parameters, which we call the stability phase diagram. We find that the class of stable initial data becomes larger and shifts to smaller widths as the field mass increases. In addition to classifying initial data as stable or unstable, we identify two other classes based on nonperturbative behavior. The class of metastable initial data forms a horizon over longer time scales than suggested by the lowest order perturbation theory at computationally accessible amplitudes, and irregular initial data can exhibit non-monotonic and possibly chaotic behavior in the horizon formation times. Our results include evidence for chaotic behavior even in the collapse of a massless scalar field.
|
1911.04178
|
Andreas Gustavsson
|
Andreas Gustavsson
|
Renormalization of the Einstein-Hilbert action
|
64 pages
| null |
10.1007/JHEP05(2020)064
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine how the Einstein-Hilbert action is renormalized by adding the
usual counterterms and additional corner counterterms when the boundary surface
has corners. A bulk geometry asymptotic to $H^{d+1}$ can have boundaries $S^k
\times H^{d-k}$ and corners for $0\leq k<d$. We show that the conformal anomaly
when $d$ is even is independent of $k$. When $d$ is odd the renormalized action
is a finite term that we show is independent of $k$ when $k$ is also odd. When
$k$ is even we were unable to extract the finite term using the counterterm
method and we address this problem using instead the Kounterterm method. We
also compute the mass of a two-charged black hole in AdS$_7$ and show that
background subtraction agrees with counterterm renormalization only if we use
the infinite series expansion for the counterterm.
|
[
{
"created": "Mon, 11 Nov 2019 11:02:10 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Nov 2019 21:58:48 GMT",
"version": "v2"
}
] |
2020-06-24
|
[
[
"Gustavsson",
"Andreas",
""
]
] |
We examine how the Einstein-Hilbert action is renormalized by adding the usual counterterms and additional corner counterterms when the boundary surface has corners. A bulk geometry asymptotic to $H^{d+1}$ can have boundaries $S^k \times H^{d-k}$ and corners for $0\leq k<d$. We show that the conformal anomaly when $d$ is even is independent of $k$. When $d$ is odd the renormalized action is a finite term that we show is independent of $k$ when $k$ is also odd. When $k$ is even we were unable to extract the finite term using the counterterm method and we address this problem using instead the Kounterterm method. We also compute the mass of a two-charged black hole in AdS$_7$ and show that background subtraction agrees with counterterm renormalization only if we use the infinite series expansion for the counterterm.
|
hep-th/9912238
|
Cosmas Zachos
|
Cosmas Zachos
|
Geometrical Evaluation of Star Products
|
6 pages, LaTeX2e
|
J.Math.Phys.41:5129-5134,2000
|
10.1063/1.533395
|
ANL-HEP-PR-99-132
|
hep-th math-ph math.MP physics.atom-ph
| null |
The geometric picture of the star-product based on its Fourier representation
kernel is utilized in the evaluation of chains of star-products and the
intuitive appreciation of their associativity and symmetries. Such
constructions appear even simpler for a variant asymmetric product, and carry
through for the standard star-product supersymmetrization.
|
[
{
"created": "Thu, 23 Dec 1999 15:53:08 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2000 21:20:32 GMT",
"version": "v2"
}
] |
2009-10-02
|
[
[
"Zachos",
"Cosmas",
""
]
] |
The geometric picture of the star-product based on its Fourier representation kernel is utilized in the evaluation of chains of star-products and the intuitive appreciation of their associativity and symmetries. Such constructions appear even simpler for a variant asymmetric product, and carry through for the standard star-product supersymmetrization.
|
1304.6021
|
Muneto Nitta
|
Michikazu Kobayashi and Muneto Nitta
|
Torus knots as Hopfions
|
6 pages, 4 figures, v2: published version
|
Phys.Lett.B728:314-318,2014
|
10.1016/j.physletb.2013.12.002
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a direct connection between torus knots and Hopfions by finding
stable and static solutions of the extended Faddeev-Skyrme model with a
ferromagnetic potential term. (P,Q)--torus knots consisting of |Q| sine-Gordon
kink strings twisted P/Q times into the poloidal cycle along the toroidal cycle
on a toroidal domain wall carry the Hopf charge PQ, which demonstrates that
Hopfions can be further classified according to torus knot type.
|
[
{
"created": "Mon, 22 Apr 2013 17:09:50 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Dec 2013 11:09:21 GMT",
"version": "v2"
}
] |
2013-12-17
|
[
[
"Kobayashi",
"Michikazu",
""
],
[
"Nitta",
"Muneto",
""
]
] |
We present a direct connection between torus knots and Hopfions by finding stable and static solutions of the extended Faddeev-Skyrme model with a ferromagnetic potential term. (P,Q)--torus knots consisting of |Q| sine-Gordon kink strings twisted P/Q times into the poloidal cycle along the toroidal cycle on a toroidal domain wall carry the Hopf charge PQ, which demonstrates that Hopfions can be further classified according to torus knot type.
|
1409.0641
|
Stefano Bellucci
|
S. Bellucci, N. Kozyrev, S. Krivonos and A. Sutulin
|
Component on shell actions of supersymmetric 3-brane I. 3-brane in D=6
|
14 pages, no figures, PACS: 11.30.Pb, 12.60.Jv, 11.25.-w
| null |
10.1088/0264-9381/32/3/035025
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present and accompanying papers we explicitly construct the on-shell
supersymmetric component actions for 3-branes moving in D=6 and in D=8 within
the nonlinear realizations framework.
In the first paper we apply our schema to construct the action of
supersymmetric 3-brane in D=6. It turns out that all ingredients entering the
component action can be obtained almost algorithmically by using the nonlinear
realizations approach. Within this approach, properly adapted to the
construction of on-shell component actions, we pay much attention to broken
supersymmetry. Doing so, we were able to write the action in terms of purely
geometric objects (vielbeins and covariant derivatives of the physical bosonic
components), covariant with respect to broken supersymmetry. It turns out that
all terms of the higher orders in the fermions, are hidden inside these
covariant derivatives and vielbeins. Moreover, the main part of the component
action just mimics its bosonic cousin in which the ordinary space-time
derivatives and the bosonic world volume are replaced by their covariant
supersymmetric analogs. The Wess-Zumino term in the action, which does not
exist in the bosonic case, can be also easily constructed in terms of reduced
Cartan forms. Keeping the broken supersymmetry almost explicit, one may write
the Ansatz for the component action, fully defined up to two constant
parameters. The role of the unbroken supersymmetry is just to fix these
parameters.
|
[
{
"created": "Tue, 2 Sep 2014 09:34:08 GMT",
"version": "v1"
}
] |
2017-02-08
|
[
[
"Bellucci",
"S.",
""
],
[
"Kozyrev",
"N.",
""
],
[
"Krivonos",
"S.",
""
],
[
"Sutulin",
"A.",
""
]
] |
In the present and accompanying papers we explicitly construct the on-shell supersymmetric component actions for 3-branes moving in D=6 and in D=8 within the nonlinear realizations framework. In the first paper we apply our schema to construct the action of supersymmetric 3-brane in D=6. It turns out that all ingredients entering the component action can be obtained almost algorithmically by using the nonlinear realizations approach. Within this approach, properly adapted to the construction of on-shell component actions, we pay much attention to broken supersymmetry. Doing so, we were able to write the action in terms of purely geometric objects (vielbeins and covariant derivatives of the physical bosonic components), covariant with respect to broken supersymmetry. It turns out that all terms of the higher orders in the fermions, are hidden inside these covariant derivatives and vielbeins. Moreover, the main part of the component action just mimics its bosonic cousin in which the ordinary space-time derivatives and the bosonic world volume are replaced by their covariant supersymmetric analogs. The Wess-Zumino term in the action, which does not exist in the bosonic case, can be also easily constructed in terms of reduced Cartan forms. Keeping the broken supersymmetry almost explicit, one may write the Ansatz for the component action, fully defined up to two constant parameters. The role of the unbroken supersymmetry is just to fix these parameters.
|
0712.2811
|
Sabine Hossenfelder
|
S. Hossenfelder
|
A Note on Quantum Field Theories with a Minimal Length Scale
| null |
Class.Quant.Grav.25:038003,2008
|
10.1088/0264-9381/25/3/038003
| null |
hep-th
| null |
The aim of this note is to address the low energy limit of quantum field
theories with a minimal length scale. The essential feature of these models is
that the minimal length acts as a regulator in the asymptotic high energy limit
which is incorporated through an infinite series of higher order derivatives.
If one investigates a perturbative expansion in inverse powers of the Planck
mass, one generically obtains extra poles in the propagator, and instabilities
connected with the higher order derivative Lagrangian, that are however
artifacts of truncating the series.
|
[
{
"created": "Mon, 17 Dec 2007 20:46:30 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Hossenfelder",
"S.",
""
]
] |
The aim of this note is to address the low energy limit of quantum field theories with a minimal length scale. The essential feature of these models is that the minimal length acts as a regulator in the asymptotic high energy limit which is incorporated through an infinite series of higher order derivatives. If one investigates a perturbative expansion in inverse powers of the Planck mass, one generically obtains extra poles in the propagator, and instabilities connected with the higher order derivative Lagrangian, that are however artifacts of truncating the series.
|
hep-th/9701010
|
Isbelia Martin
|
M. I. Caicedo, I. Martin and A. Restuccia
|
Duality on Higher Order U(1) Bundles
|
25 pages, latex, one figure. References and comment added
| null | null |
USB-Dec-1996
|
hep-th
| null |
A new global approach in the study of duality transformations is introduced.
The geometrical structure of complex line bundles is generalized to higher
order U(1) bundles which are classified by quantized charges and duality maps
are formulated over these structures. Quantum equivalence is shown between dual
theories. A global constraint is proven to be needed to achieve well defined
bundles. These global structures are used to refine the proof of the duality
equivalence between d=11 supermembrane and d=10 IIA Dirichlet supermembrane,
giving a complete topological interpretation to their quantized charges.
|
[
{
"created": "Sat, 4 Jan 1997 19:34:09 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jan 1997 00:19:07 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Caicedo",
"M. I.",
""
],
[
"Martin",
"I.",
""
],
[
"Restuccia",
"A.",
""
]
] |
A new global approach in the study of duality transformations is introduced. The geometrical structure of complex line bundles is generalized to higher order U(1) bundles which are classified by quantized charges and duality maps are formulated over these structures. Quantum equivalence is shown between dual theories. A global constraint is proven to be needed to achieve well defined bundles. These global structures are used to refine the proof of the duality equivalence between d=11 supermembrane and d=10 IIA Dirichlet supermembrane, giving a complete topological interpretation to their quantized charges.
|
1506.04955
|
Tajron Juri\'c dr. sc.
|
Tajron Juric, Stjepan Meljanac and Danijel Pikutic
|
Realizations of $\kappa$-Minkowski space, Drinfeld twists and related
symmetry algebras
|
35 pages, improved version accepted for publication in EPJC
|
Eur. Phys. J. C (2015) 75:528
|
10.1140/epjc/s10052-015-3760-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Realizations of $\kappa$-Minkowski space linear in momenta are studied for
time-, space- and light-like deformations. We construct and classify all such
linear realizations and express them in terms of $\mathfrak{gl}(n)$ generators.
There are three one-parameter families of linear realizations for time-like and
space-like deformations, while for light-like deformations, there are only four
linear realizations. The relation between deformed Heisenberg algebra, star
product, coproduct of momenta and twist operator is presented. It is proved
that for each linear realization there exists Drinfeld twist satisfying
normalization and cocycle conditions. $\kappa$-deformed
$\mathfrak{igl}(n)$-Hopf algebras are presented for all cases. The
$\kappa$-Poincar\'e-Weyl and $\kappa$-Poincar\'e-Hopf algebras are discussed.
Left-right dual $\kappa$-Minkowski algebra is constructed from the transposed
twists. The corresponding realizations are nonlinear. All known Drinfeld twists
related to $\kappa$-Minkowski space are obtained from our construction.
Finally, some physical applications are discussed.
|
[
{
"created": "Tue, 16 Jun 2015 13:14:26 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2015 17:10:43 GMT",
"version": "v2"
}
] |
2015-11-11
|
[
[
"Juric",
"Tajron",
""
],
[
"Meljanac",
"Stjepan",
""
],
[
"Pikutic",
"Danijel",
""
]
] |
Realizations of $\kappa$-Minkowski space linear in momenta are studied for time-, space- and light-like deformations. We construct and classify all such linear realizations and express them in terms of $\mathfrak{gl}(n)$ generators. There are three one-parameter families of linear realizations for time-like and space-like deformations, while for light-like deformations, there are only four linear realizations. The relation between deformed Heisenberg algebra, star product, coproduct of momenta and twist operator is presented. It is proved that for each linear realization there exists Drinfeld twist satisfying normalization and cocycle conditions. $\kappa$-deformed $\mathfrak{igl}(n)$-Hopf algebras are presented for all cases. The $\kappa$-Poincar\'e-Weyl and $\kappa$-Poincar\'e-Hopf algebras are discussed. Left-right dual $\kappa$-Minkowski algebra is constructed from the transposed twists. The corresponding realizations are nonlinear. All known Drinfeld twists related to $\kappa$-Minkowski space are obtained from our construction. Finally, some physical applications are discussed.
|
1209.0894
|
Ryuichi Nakayama
|
Ippei Fujisawa and Ryuichi Nakayama (Hokkaido University)
|
Second-Order Formalism for 3D Spin-3 Gravity
|
40 pages, no figures. v2:references added, coefficients of eqs in
apppendix D corrected, minor typos also corrected, v3:Version accepted for
publication in Classical and Quantum Gravity
| null |
10.1088/0264-9381/30/3/035003
|
EPHOU-12-006
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A second-order formalism for the theory of 3D spin-3 gravity is considered.
Such a formalism is obtained by solving the torsion-free condition for the spin
connection \omega^a_{\mu}, and substituting the result into the action
integral. In the first-order formalism of the spin-3 gravity defined in terms
of SL(3,R) X SL(3,R) Chern-Simons (CS) theory, however, the generalized
torsion-free condition cannot be easily solved for the spin connection, because
the vielbein e^a_{\mu} itself is not invertible. To circumvent this problem,
extra vielbein-like fields e^a_{\mu\nu} are introduced as a functional of
e^a_{\mu}. New set of affine-like connections \Gamma_{\mu M}^N are defined in
terms of the metric-like fields, and a generalization of the Riemann curvature
tensor is also presented. In terms of this generalized Riemann tensor the
action integral in the second-order formalism is expressed. The transformation
rules of the metric and the spin-3 gauge field under the generalized
diffeomorphims are obtained explicitly. As in Einstein gravity, the new
affine-like connections are related to the spin connection by a certain gauge
transformation, and a gravitational CS term expressed in terms of the new
connections is also presented.
|
[
{
"created": "Wed, 5 Sep 2012 08:57:45 GMT",
"version": "v1"
},
{
"created": "Sat, 15 Sep 2012 12:35:56 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Dec 2012 04:06:05 GMT",
"version": "v3"
}
] |
2015-06-11
|
[
[
"Fujisawa",
"Ippei",
"",
"Hokkaido University"
],
[
"Nakayama",
"Ryuichi",
"",
"Hokkaido University"
]
] |
A second-order formalism for the theory of 3D spin-3 gravity is considered. Such a formalism is obtained by solving the torsion-free condition for the spin connection \omega^a_{\mu}, and substituting the result into the action integral. In the first-order formalism of the spin-3 gravity defined in terms of SL(3,R) X SL(3,R) Chern-Simons (CS) theory, however, the generalized torsion-free condition cannot be easily solved for the spin connection, because the vielbein e^a_{\mu} itself is not invertible. To circumvent this problem, extra vielbein-like fields e^a_{\mu\nu} are introduced as a functional of e^a_{\mu}. New set of affine-like connections \Gamma_{\mu M}^N are defined in terms of the metric-like fields, and a generalization of the Riemann curvature tensor is also presented. In terms of this generalized Riemann tensor the action integral in the second-order formalism is expressed. The transformation rules of the metric and the spin-3 gauge field under the generalized diffeomorphims are obtained explicitly. As in Einstein gravity, the new affine-like connections are related to the spin connection by a certain gauge transformation, and a gravitational CS term expressed in terms of the new connections is also presented.
|
hep-th/9707193
|
Kostya Zyablyuk
|
Konstantin Zyablyuk
|
N=2, D=6 supergravity with E_7 gauge matter
|
7 pages, latex
| null | null |
UM-TH-97-16
|
hep-th hep-ph
| null |
The lagrangian of N=2, D=6 supergravity coupled to E_7 X SU(2) vector- and
hyper-multiplets is derived. For this purpose the coset manifold E_8/E_7 X
SU(2), parametrized by the scalars of the hypermultiplet, is constructed. A
difference from the case of Sp(n)-matter is pointed out. This model can be
considered as an intermediate step in the compactification of D=10 supergravity
coupled to E_8 X E_8 matter to four-dimensional model of E_6 unification.
|
[
{
"created": "Wed, 23 Jul 1997 04:32:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Zyablyuk",
"Konstantin",
""
]
] |
The lagrangian of N=2, D=6 supergravity coupled to E_7 X SU(2) vector- and hyper-multiplets is derived. For this purpose the coset manifold E_8/E_7 X SU(2), parametrized by the scalars of the hypermultiplet, is constructed. A difference from the case of Sp(n)-matter is pointed out. This model can be considered as an intermediate step in the compactification of D=10 supergravity coupled to E_8 X E_8 matter to four-dimensional model of E_6 unification.
|
2311.03337
|
David Tennyson
|
Katrin Becker, Alex Kehagias, Ergin Sezgin, David Tennyson, and Avraam
Violaris
|
New anomaly free supergravities in six dimensions
|
42 pp + 33 pp apendix, 3 figures, 2 tables
| null | null |
MI-HET-819
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An extended search for anomaly free matter coupled $N=(1,0)$ supergravity in
six dimension is carried out by two different methods which we refer to as the
graphical and rank methods. In the graphical method the anomaly free models are
built from single gauge group models, called nodes, which can only have
gravitational anomalies. We search for anomaly free theories with gauge groups
$G_1\times...\times G_n$ with $n=1,2,...$ (any number of factors) and
$G_1\times...\times G_n \times U(1)_R$ where $n=1,2,3$ and $U(1)_R$ is the
$R$-symmetry group. While we primarily consider models with the tensor
multiplet number $n_T=1$, we also provide some results for $n_T\ne 1$ with an
unconstrained number of charged hypermultiplets. We find a large number of
ungauged anomaly free theories. However, in the case of $R$-symmetry gauged
models with $n_T=1$, in addition to the three known anomaly free theories with
$G_1\times G_2 \times U(1)_R$ type symmetry, we find only six new remarkably
anomaly free models with symmetry groups of the form $G_1\times G_2\times G_3
\times U(1)_R$. In the case of $n_T=1$ and ungauged models, excluding low rank
group factors and considering only low lying representations, we find all
anomaly free theories. Remarkably, the number of group factors does not exceed
four in this class. The proof of completeness in this case relies on a bound
which we establish for a parameter characterizing the difference between the
number of non-singlet hypermultiplets and the dimension of the gauge group.
|
[
{
"created": "Mon, 6 Nov 2023 18:36:48 GMT",
"version": "v1"
}
] |
2023-11-07
|
[
[
"Becker",
"Katrin",
""
],
[
"Kehagias",
"Alex",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Tennyson",
"David",
""
],
[
"Violaris",
"Avraam",
""
]
] |
An extended search for anomaly free matter coupled $N=(1,0)$ supergravity in six dimension is carried out by two different methods which we refer to as the graphical and rank methods. In the graphical method the anomaly free models are built from single gauge group models, called nodes, which can only have gravitational anomalies. We search for anomaly free theories with gauge groups $G_1\times...\times G_n$ with $n=1,2,...$ (any number of factors) and $G_1\times...\times G_n \times U(1)_R$ where $n=1,2,3$ and $U(1)_R$ is the $R$-symmetry group. While we primarily consider models with the tensor multiplet number $n_T=1$, we also provide some results for $n_T\ne 1$ with an unconstrained number of charged hypermultiplets. We find a large number of ungauged anomaly free theories. However, in the case of $R$-symmetry gauged models with $n_T=1$, in addition to the three known anomaly free theories with $G_1\times G_2 \times U(1)_R$ type symmetry, we find only six new remarkably anomaly free models with symmetry groups of the form $G_1\times G_2\times G_3 \times U(1)_R$. In the case of $n_T=1$ and ungauged models, excluding low rank group factors and considering only low lying representations, we find all anomaly free theories. Remarkably, the number of group factors does not exceed four in this class. The proof of completeness in this case relies on a bound which we establish for a parameter characterizing the difference between the number of non-singlet hypermultiplets and the dimension of the gauge group.
|
hep-th/9705120
| null |
I. Chepelev and A.A. Tseytlin
|
Interactions of type IIB D-branes from D-instanton matrix model
|
17 pages, latex. misprints corrected, to appear in NPB
|
Nucl.Phys.B511:629-646,1998
|
10.1016/S0550-3213(97)00658-5
|
ITEP-TH-19/97, Imperial/TP/96-97/47
|
hep-th
| null |
We compute long-distance interaction potentials between certain 1/2 and 1/4
supersymmetric D-brane configurations of type IIB theory, demonstrating
detailed agreement between classical supergravity and one-loop instanton matrix
model results. This confirms the interpretation of D-branes as described by
classical matrix model backgrounds as being `populated' by large number of
D-instantons, i.e. as corresponding to non-marginal bound states of branes of
lower dimensions. In the process, we establish precise relation between matrix
model expressions and non-abelian F^4 terms in the super Yang-Mills effective
action.
|
[
{
"created": "Thu, 15 May 1997 23:11:06 GMT",
"version": "v1"
},
{
"created": "Thu, 22 May 1997 19:12:26 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jun 1997 15:58:59 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Oct 1997 11:24:35 GMT",
"version": "v4"
}
] |
2009-09-17
|
[
[
"Chepelev",
"I.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We compute long-distance interaction potentials between certain 1/2 and 1/4 supersymmetric D-brane configurations of type IIB theory, demonstrating detailed agreement between classical supergravity and one-loop instanton matrix model results. This confirms the interpretation of D-branes as described by classical matrix model backgrounds as being `populated' by large number of D-instantons, i.e. as corresponding to non-marginal bound states of branes of lower dimensions. In the process, we establish precise relation between matrix model expressions and non-abelian F^4 terms in the super Yang-Mills effective action.
|
hep-th/0606168
|
Takahashi Hidenori
|
Hidenori Takahashi and Masanori Yamanaka
|
Hofstadter Butterfly Diagram in Noncommutative Space
|
4 pages, 2 figures
| null | null | null |
hep-th cond-mat.other
| null |
We study an energy spectrum of electron moving under the constant magnetic
field in two dimensional noncommutative space. It take place with the gauge
invariant way. The Hofstadter butterfly diagram of the noncommutative space is
calculated in terms of the lattice model which is derived by the Bopp's shift
for space and by the Peierls substitution for external magnetic field. We also
find the fractal structure in new diagram. Although the global features of the
new diagram are similar to the diagram of the commutative space, the detail
structure is different from it.
|
[
{
"created": "Sun, 18 Jun 2006 11:21:11 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Jun 2006 09:37:20 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Takahashi",
"Hidenori",
""
],
[
"Yamanaka",
"Masanori",
""
]
] |
We study an energy spectrum of electron moving under the constant magnetic field in two dimensional noncommutative space. It take place with the gauge invariant way. The Hofstadter butterfly diagram of the noncommutative space is calculated in terms of the lattice model which is derived by the Bopp's shift for space and by the Peierls substitution for external magnetic field. We also find the fractal structure in new diagram. Although the global features of the new diagram are similar to the diagram of the commutative space, the detail structure is different from it.
|
hep-th/9907066
|
Paul Matthew Saffin
|
P. M. Saffin
|
Tiling with almost-BPS states
|
replaced with verrsion accepted for PRL,4 pages, 7 figures, latex
|
Phys.Rev.Lett.83:4249-4252,1999
|
10.1103/PhysRevLett.83.4249
|
DAMTP-1999-88
|
hep-th
| null |
In the light of recent studies of BPS triple junctions in the Wess-Zumino
model we describe techniques to construct infinite lattices using similar
junctions. It is shown that whilst these states are only approximately locally
BPS they are nevertheless stable to small perturbations, giving a metastable
tiling of the plane.
|
[
{
"created": "Fri, 9 Jul 1999 16:05:05 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Oct 1999 08:09:33 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Saffin",
"P. M.",
""
]
] |
In the light of recent studies of BPS triple junctions in the Wess-Zumino model we describe techniques to construct infinite lattices using similar junctions. It is shown that whilst these states are only approximately locally BPS they are nevertheless stable to small perturbations, giving a metastable tiling of the plane.
|
hep-th/0604073
|
Alice Rogers
|
Alice Rogers
|
Equivariant BRST quantization and reducible symmetries
|
23 pages LaTeX. Some refrences added and some clarification made to
text
|
J.Phys.A40:4649-4664,2007
|
10.1088/1751-8113/40/17/016
| null |
hep-th
| null |
Working from first principles, quantization of a class of Hamiltonian systems
with reducible symmetry is carried out by constructing first the appropriate
reduced phase space and then the BRST cohomology. The constraints of this
system correspond to a first class set for a group G and a second class set for
a subgroup H. The BRST operator constructed is equivariant with respect to H.
Using algebraic techniques analogous to those of equivariant de Rham theory,
the BRST operator is shown to correspond to that obtained by BV quantization of
a class of systems with reducible symmetry. The 'ghosts for ghosts' correspond
to the even degree two generators in the Cartan model of equivariant
cohomology. As an example of the methods developed, a topological model is
described whose BRST quantization relates to the equivariant cohomology of a
manifold under a circle action.
|
[
{
"created": "Mon, 10 Apr 2006 16:33:56 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Apr 2007 13:31:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Rogers",
"Alice",
""
]
] |
Working from first principles, quantization of a class of Hamiltonian systems with reducible symmetry is carried out by constructing first the appropriate reduced phase space and then the BRST cohomology. The constraints of this system correspond to a first class set for a group G and a second class set for a subgroup H. The BRST operator constructed is equivariant with respect to H. Using algebraic techniques analogous to those of equivariant de Rham theory, the BRST operator is shown to correspond to that obtained by BV quantization of a class of systems with reducible symmetry. The 'ghosts for ghosts' correspond to the even degree two generators in the Cartan model of equivariant cohomology. As an example of the methods developed, a topological model is described whose BRST quantization relates to the equivariant cohomology of a manifold under a circle action.
|
1609.09834
|
Riccardo Borsato
|
Riccardo Borsato and Linus Wulff
|
Integrable deformations of T-dual $\sigma$ models
|
5 pages. References added. Projector reinstated in eq. (3). Claims on
DTD with degenerate cocycle corrected
|
Phys. Rev. Lett. 117, 251602 (2016)
|
10.1103/PhysRevLett.117.251602
|
Imperial-TP-RB-2016-06
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a method to deform (generically non-abelian) T duals of
two-dimensional $\sigma$ models, which preserves classical integrability. The
deformed models are identified by a linear operator $\omega$ on the dualised
subalgebra, which satisfies the 2-cocycle condition. We prove that the
so-called homogeneous Yang-Baxter deformations are equivalent, via a field
redefinition, to our deformed models when $\omega$ is invertible. We explain
the details for deformations of T duals of Principal Chiral Models, and present
the corresponding generalisation to the case of supercoset models.
|
[
{
"created": "Fri, 30 Sep 2016 17:49:59 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2017 15:02:11 GMT",
"version": "v2"
}
] |
2017-08-24
|
[
[
"Borsato",
"Riccardo",
""
],
[
"Wulff",
"Linus",
""
]
] |
We present a method to deform (generically non-abelian) T duals of two-dimensional $\sigma$ models, which preserves classical integrability. The deformed models are identified by a linear operator $\omega$ on the dualised subalgebra, which satisfies the 2-cocycle condition. We prove that the so-called homogeneous Yang-Baxter deformations are equivalent, via a field redefinition, to our deformed models when $\omega$ is invertible. We explain the details for deformations of T duals of Principal Chiral Models, and present the corresponding generalisation to the case of supercoset models.
|
2110.03696
|
Alessandro Mininno
|
Sebasti\'an Franco, Alessandro Mininno, \'Angel M. Uranga, Xingyang Yu
|
2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
|
v2: added references + typos corrected v1: 49 pages + 1 appendix
| null |
10.1007/JHEP03(2022)150
|
IFT-UAM/CSIC-21-105, ZMP-HH/21-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We initiate the geometric engineering of 2d $\mathcal{N}=(0,1)$ gauge
theories on D1-branes probing singularities. To do so, we introduce a new class
of backgrounds obtained as quotients of Calabi-Yau 4-folds by a combination of
an anti-holomorphic involution leading to a Spin(7) cone and worldsheet parity.
We refer to such constructions as Spin(7) orientifolds. Spin(7) orientifolds
explicitly realize the perspective on 2d $\mathcal{N}=(0,1)$ theories as real
slices of $\mathcal{N}=(0,2)$ ones. Remarkably, this projection is
geometrically realized as Joyce's construction of Spin(7) manifolds via
quotients of Calabi-Yau 4-folds by anti-holomorphic involutions. We illustrate
this construction in numerous examples with both orbifold and non-orbifold
parent singularities, discuss the role of the choice of vector structure in the
orientifold quotient, and study partial resolutions.
|
[
{
"created": "Thu, 7 Oct 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Oct 2021 20:44:38 GMT",
"version": "v2"
}
] |
2022-04-13
|
[
[
"Franco",
"Sebastián",
""
],
[
"Mininno",
"Alessandro",
""
],
[
"Uranga",
"Ángel M.",
""
],
[
"Yu",
"Xingyang",
""
]
] |
We initiate the geometric engineering of 2d $\mathcal{N}=(0,1)$ gauge theories on D1-branes probing singularities. To do so, we introduce a new class of backgrounds obtained as quotients of Calabi-Yau 4-folds by a combination of an anti-holomorphic involution leading to a Spin(7) cone and worldsheet parity. We refer to such constructions as Spin(7) orientifolds. Spin(7) orientifolds explicitly realize the perspective on 2d $\mathcal{N}=(0,1)$ theories as real slices of $\mathcal{N}=(0,2)$ ones. Remarkably, this projection is geometrically realized as Joyce's construction of Spin(7) manifolds via quotients of Calabi-Yau 4-folds by anti-holomorphic involutions. We illustrate this construction in numerous examples with both orbifold and non-orbifold parent singularities, discuss the role of the choice of vector structure in the orientifold quotient, and study partial resolutions.
|
1902.10516
|
Kazuo Fujikawa
|
Shinichi Deguchi and Kazuo Fujikawa
|
No anomalous canonical commutators induced by Berry's phase
|
29 pages and 3 figures. Substantially expanded and a detailed account
of the absence of no anomalous cononical commutators induced by Berry's phase
is given. The title has also been changed accordingly. This version is to be
published in Ann. of Phys
| null |
10.1016/j.aop.2020.168160
|
RIKEN-iTHEMS-Report-19
|
hep-th cond-mat.mes-hall hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The monopole-like singularity of Berry's adiabatic phase in momentum space
and associated anomalous Poisson brackets have been recently discussed in
various fields. With the help of the results of an exactly solvable version of
Berry's model, we show that Berry's phase does not lead to the deformation of
the principle of quantum mechanics in the sense of anomalous canonical
commutators. If one should assume Berry's phase of genuine Dirac monopole-type,
which is assumed to hold not only in the adiabatic limit but also in the
non-adiabatic limit, the deformation of the principle of quantum mechanics
could take place. But Berry's phase of the genuine Dirac monopole-type is not
supported by the exactly solvable version of Berry's model nor by a generic
model of Berry's phase. Besides, the monopole-like Berry's phase in momentum
space has a magnetic charge $e_{M}=2\pi\hbar$, for which the possible anomalous
term in the canonical commutator $[x_{k},x_{l}]=i\hbar\Omega_{kl}$ would become
of the order $O(\hbar^{2})$.
|
[
{
"created": "Wed, 27 Feb 2019 13:28:44 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2020 08:26:55 GMT",
"version": "v2"
}
] |
2020-04-22
|
[
[
"Deguchi",
"Shinichi",
""
],
[
"Fujikawa",
"Kazuo",
""
]
] |
The monopole-like singularity of Berry's adiabatic phase in momentum space and associated anomalous Poisson brackets have been recently discussed in various fields. With the help of the results of an exactly solvable version of Berry's model, we show that Berry's phase does not lead to the deformation of the principle of quantum mechanics in the sense of anomalous canonical commutators. If one should assume Berry's phase of genuine Dirac monopole-type, which is assumed to hold not only in the adiabatic limit but also in the non-adiabatic limit, the deformation of the principle of quantum mechanics could take place. But Berry's phase of the genuine Dirac monopole-type is not supported by the exactly solvable version of Berry's model nor by a generic model of Berry's phase. Besides, the monopole-like Berry's phase in momentum space has a magnetic charge $e_{M}=2\pi\hbar$, for which the possible anomalous term in the canonical commutator $[x_{k},x_{l}]=i\hbar\Omega_{kl}$ would become of the order $O(\hbar^{2})$.
|
1103.3298
|
Henrik Johansson
|
John Joseph M. Carrasco, Henrik Johansson
|
Generic multiloop methods and application to N=4 super-Yang-Mills
|
42 pages, 18 figures, invited review for a special issue of Journal
of Physics A devoted to "Scattering Amplitudes in Gauge Theories", v2 minor
corrections, v3 added references
| null |
10.1088/1751-8113/44/45/454004
|
SU-ITP-11/07; Saclay-IPhT-T11/029
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review some recent additions to the tool-chest of techniques for finding
compact integrand representations of multiloop gauge-theory amplitudes -
including non-planar contributions - applicable for N=4 super-Yang-Mills in
four and higher dimensions, as well as for theories with less supersymmetry. We
discuss a general organization of amplitudes in terms of purely cubic graphs,
review the method of maximal cuts, as well as some special D-dimensional
recursive cuts, and conclude by describing the efficient organization of
amplitudes resulting from the conjectured duality between color and kinematic
structures on constituent graphs.
|
[
{
"created": "Wed, 16 Mar 2011 21:08:08 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 23:18:34 GMT",
"version": "v2"
},
{
"created": "Mon, 16 Jan 2012 14:34:27 GMT",
"version": "v3"
}
] |
2015-05-27
|
[
[
"Carrasco",
"John Joseph M.",
""
],
[
"Johansson",
"Henrik",
""
]
] |
We review some recent additions to the tool-chest of techniques for finding compact integrand representations of multiloop gauge-theory amplitudes - including non-planar contributions - applicable for N=4 super-Yang-Mills in four and higher dimensions, as well as for theories with less supersymmetry. We discuss a general organization of amplitudes in terms of purely cubic graphs, review the method of maximal cuts, as well as some special D-dimensional recursive cuts, and conclude by describing the efficient organization of amplitudes resulting from the conjectured duality between color and kinematic structures on constituent graphs.
|
hep-th/0601077
|
J. R. S. Nascimento
|
J. R. Nascimento, A. Yu. Petrov and R. F. Ribeiro
|
Noncommutative fields in three dimensions and mass generation
|
Comments 5 pages, epl, version accepted for publication in
Europhysics Letters
|
Europhys.Lett.77:51001,2007
|
10.1209/0295-5075/77/51001
| null |
hep-th
| null |
We apply the noncommutative fields method for gauge theory in three
dimensions where the Chern-Simons term is generated in the three-dimensional
electrodynamics. Under the same procedure, the Chern-Simons term is shown to be
cancelled in the Maxwell-Chern-Simons theory for the appropriate value of the
noncommutativity parameter. Hence the mutual interchange between
Maxwell-Chern-Simons theory and pure Maxwell theory turns out to be generated
within this method.
|
[
{
"created": "Thu, 12 Jan 2006 18:04:48 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2006 18:43:31 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Jan 2007 18:51:52 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Ribeiro",
"R. F.",
""
]
] |
We apply the noncommutative fields method for gauge theory in three dimensions where the Chern-Simons term is generated in the three-dimensional electrodynamics. Under the same procedure, the Chern-Simons term is shown to be cancelled in the Maxwell-Chern-Simons theory for the appropriate value of the noncommutativity parameter. Hence the mutual interchange between Maxwell-Chern-Simons theory and pure Maxwell theory turns out to be generated within this method.
|
0911.0400
|
Silviu Pufu
|
Christopher P. Herzog, Igor R. Klebanov, Silviu S. Pufu, and Tiberiu
Tesileanu
|
Emergent Quantum Near-Criticality from Baryonic Black Branes
|
29 pages, 4 figures; v2 discussion of entropy revised, minor changes;
v3 note added, minor improvements, version published in JHEP
|
JHEP 1003:093,2010
|
10.1007/JHEP03(2010)093
|
PUPT-2318
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find new black 3-brane solutions describing the "conifold gauge theory" at
nonzero temperature and baryonic chemical potential. Of particular interest is
the low-temperature limit where we find a new kind of weakly curved
near-horizon geometry; it is a warped product AdS_2 x R^3 x T^{1,1} with warp
factors that are powers of the logarithm of the AdS radius. Thus, our solution
encodes a new type of emergent quantum near-criticality. We carry out some
stability checks for our solutions. We also set up a consistent ansatz for
baryonic black 2-branes of M-theory that are asymptotic to AdS_4 x Q^{1,1,1}.
|
[
{
"created": "Mon, 2 Nov 2009 20:12:18 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Nov 2009 02:34:05 GMT",
"version": "v2"
},
{
"created": "Mon, 5 Apr 2010 21:09:21 GMT",
"version": "v3"
}
] |
2010-05-07
|
[
[
"Herzog",
"Christopher P.",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Pufu",
"Silviu S.",
""
],
[
"Tesileanu",
"Tiberiu",
""
]
] |
We find new black 3-brane solutions describing the "conifold gauge theory" at nonzero temperature and baryonic chemical potential. Of particular interest is the low-temperature limit where we find a new kind of weakly curved near-horizon geometry; it is a warped product AdS_2 x R^3 x T^{1,1} with warp factors that are powers of the logarithm of the AdS radius. Thus, our solution encodes a new type of emergent quantum near-criticality. We carry out some stability checks for our solutions. We also set up a consistent ansatz for baryonic black 2-branes of M-theory that are asymptotic to AdS_4 x Q^{1,1,1}.
|
hep-th/0410159
|
Carlos Leiva
|
Carlos Leiva
|
Extended Non Linear Conformal Symmetry and DSR Velocities on the
Physical Surface
|
totally renewed
|
Int.J.Mod.Phys. A21 (2006) 2863-2876
|
10.1142/S0217751X06031053
| null |
hep-th gr-qc
| null |
The relation between Conformal generators and Magueijo Smolin Deformed
Special Relativity term, added to Lorentz boosts, is achieved. The same is
performed for Fock Lorentz transformations. Through a dimensional reduction
procedure, it is demonstrated that a massless relativistic particle living in a
$d$ dimensional space, is isomorphic to one living in a $d+2$ space with pure
Lorentz invariance and to a particle living in a $AdS_{d+1}$ space. To
accomplish these identifications, the Conformal Group is extended and a
nonlinear algebra arises. Finally, because the relation between momenta and
velocities is known, the problem of position space dynamics is solved.
|
[
{
"created": "Thu, 14 Oct 2004 19:11:18 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Oct 2004 14:14:43 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Dec 2004 18:52:47 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Leiva",
"Carlos",
""
]
] |
The relation between Conformal generators and Magueijo Smolin Deformed Special Relativity term, added to Lorentz boosts, is achieved. The same is performed for Fock Lorentz transformations. Through a dimensional reduction procedure, it is demonstrated that a massless relativistic particle living in a $d$ dimensional space, is isomorphic to one living in a $d+2$ space with pure Lorentz invariance and to a particle living in a $AdS_{d+1}$ space. To accomplish these identifications, the Conformal Group is extended and a nonlinear algebra arises. Finally, because the relation between momenta and velocities is known, the problem of position space dynamics is solved.
|
0810.1503
|
Bogdan Georgiev Dimitrov
|
Bogdan G. Dimitrov (BLThP, JINR, Dubna, Russia)
|
Algebraic Geometry Approach in Theories with Extra Dimensions II. Tensor
Length Scale, Compactification and Rescaling
|
21 pages; this is a part of the former hep-th/0511136, but with a new
"Discussion" part and also Appendices A and B; also minor corrections and
changes in the text and in the enumeration of the formulaes; subm. to Gen.
Rel. Grav
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this second part of the paper, dedicated to theories with extra
dimensions, a new physical notion about the "tensor length scale" is
introduced, based on the gravitational theories with covariant and
contravariant metric tensor components. Then the notion of "compactification"
in low energy type I string theory is supplemented by the operation of
"rescaling" of the contravariant metric components. For both the cases of
"rescaling + compactification" and "compactification + rescaling", quasilinear
differential equations in partial derivatives have been obtained and the
corresponding solutions have been found for the scale (length) function and for
the case of a flat 4D Minkowski space, embedded into a 5D space with an
exponential warp factor. A differential equation has been obtained and
investigated also from the equality of the "rescaled" scalar curvature with the
usual one.
|
[
{
"created": "Wed, 8 Oct 2008 18:48:21 GMT",
"version": "v1"
}
] |
2008-10-09
|
[
[
"Dimitrov",
"Bogdan G.",
"",
"BLThP, JINR, Dubna, Russia"
]
] |
In this second part of the paper, dedicated to theories with extra dimensions, a new physical notion about the "tensor length scale" is introduced, based on the gravitational theories with covariant and contravariant metric tensor components. Then the notion of "compactification" in low energy type I string theory is supplemented by the operation of "rescaling" of the contravariant metric components. For both the cases of "rescaling + compactification" and "compactification + rescaling", quasilinear differential equations in partial derivatives have been obtained and the corresponding solutions have been found for the scale (length) function and for the case of a flat 4D Minkowski space, embedded into a 5D space with an exponential warp factor. A differential equation has been obtained and investigated also from the equality of the "rescaled" scalar curvature with the usual one.
|
0709.3916
|
Shailesh Kulkarni
|
Rabin Banerjee and Shailesh Kulkarni
|
Hawking Radiation, Effective Actions and Covariant Boundary Conditions
|
Minor changes, conforms to published version
|
Phys.Lett.B659:827-831,2008
|
10.1016/j.physletb.2007.11.068
| null |
hep-th gr-qc
| null |
From appropriate expressions for effective actions, the Hawking radiation
from charged black holes is derived, using only covariant boundary conditions
at the event horizon. The connection of our approach with the Unruh vacuum and
the recent analysis \cite{Robwilczek,Isowilczek,shailesh} of Hawking radiation
using anomalies is established.
|
[
{
"created": "Tue, 25 Sep 2007 10:48:27 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2007 15:05:10 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Jan 2008 11:19:49 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Banerjee",
"Rabin",
""
],
[
"Kulkarni",
"Shailesh",
""
]
] |
From appropriate expressions for effective actions, the Hawking radiation from charged black holes is derived, using only covariant boundary conditions at the event horizon. The connection of our approach with the Unruh vacuum and the recent analysis \cite{Robwilczek,Isowilczek,shailesh} of Hawking radiation using anomalies is established.
|
0905.3627
|
Kirill Krasnov
|
Laurent Freidel, Kirill Krasnov, Etera R. Livine
|
Holomorphic Factorization for a Quantum Tetrahedron
|
45 pages; published version
|
Commun.Math.Phys.297:45-93,2010
|
10.1007/s00220-010-1036-5
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a holomorphic description of the Hilbert space H(j_1,..,j_n) of
SU(2)-invariant tensors (intertwiners) and establish a holomorphically
factorized formula for the decomposition of identity in H(j_1,..,j_n).
Interestingly, the integration kernel that appears in the decomposition formula
turns out to be the n-point function of bulk/boundary dualities of string
theory. Our results provide a new interpretation for this quantity as being, in
the limit of large conformal dimensions, the exponential of the Kahler
potential of the symplectic manifold whose quantization gives H(j_1,..,j_n).
For the case n=4, the symplectic manifold in question has the interpretation of
the space of "shapes" of a geometric tetrahedron with fixed face areas, and our
results provide a description for the quantum tetrahedron in terms of
holomorphic coherent states. We describe how the holomorphic intertwiners are
related to the usual real ones by computing their overlap. The semi-classical
analysis of these overlap coefficients in the case of large spins allows us to
obtain an explicit relation between the real and holomorphic description of the
space of shapes of the tetrahedron. Our results are of direct relevance for the
subjects of loop quantum gravity and spin foams, but also add an interesting
new twist to the story of the bulk/boundary correspondence.
|
[
{
"created": "Fri, 22 May 2009 12:18:10 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Mar 2010 14:09:01 GMT",
"version": "v2"
}
] |
2015-03-13
|
[
[
"Freidel",
"Laurent",
""
],
[
"Krasnov",
"Kirill",
""
],
[
"Livine",
"Etera R.",
""
]
] |
We provide a holomorphic description of the Hilbert space H(j_1,..,j_n) of SU(2)-invariant tensors (intertwiners) and establish a holomorphically factorized formula for the decomposition of identity in H(j_1,..,j_n). Interestingly, the integration kernel that appears in the decomposition formula turns out to be the n-point function of bulk/boundary dualities of string theory. Our results provide a new interpretation for this quantity as being, in the limit of large conformal dimensions, the exponential of the Kahler potential of the symplectic manifold whose quantization gives H(j_1,..,j_n). For the case n=4, the symplectic manifold in question has the interpretation of the space of "shapes" of a geometric tetrahedron with fixed face areas, and our results provide a description for the quantum tetrahedron in terms of holomorphic coherent states. We describe how the holomorphic intertwiners are related to the usual real ones by computing their overlap. The semi-classical analysis of these overlap coefficients in the case of large spins allows us to obtain an explicit relation between the real and holomorphic description of the space of shapes of the tetrahedron. Our results are of direct relevance for the subjects of loop quantum gravity and spin foams, but also add an interesting new twist to the story of the bulk/boundary correspondence.
|
1905.06800
|
Sugumi Kanno
|
Sugumi Kanno
|
Nonclassical primordial gravitational waves from the initial entangled
state
|
22 pages, 6 figures
|
Phys. Rev. D 100, 123536 (2019)
|
10.1103/PhysRevD.100.123536
|
OU-HET-1017
|
hep-th gr-qc hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The nonclassicality of primordial gravitational waves (PGWs) is characterized
in terms of sub-Poissonian graviton statistics. The sub-Poissonian statistics
are realized when quantum states are squeezed coherent states. In the presence
of matter fields, the Universe experiences the squeezed coherent state during
inflation. The condition to realize the sub-Poissonian graviton statistics is
translated into the frequency range of gravitational waves. If the initial
state is the Bunch-Davies vacuum, there is another necessary condition between
phases of squeezing and coherent parameters. Here, we extend the initial state
to entangled states. We consider $\alpha$-vacua as the initial entangled state
that are more general de Sitter invariant vacua than the Bunch-Davies vacuum.
We find that, unlike the Bunch-Davies vacuum, PGWs generated in the initial
entangled state become sub-Poissonian without requiring the condition between
the phases.
|
[
{
"created": "Thu, 16 May 2019 14:47:02 GMT",
"version": "v1"
}
] |
2019-12-25
|
[
[
"Kanno",
"Sugumi",
""
]
] |
The nonclassicality of primordial gravitational waves (PGWs) is characterized in terms of sub-Poissonian graviton statistics. The sub-Poissonian statistics are realized when quantum states are squeezed coherent states. In the presence of matter fields, the Universe experiences the squeezed coherent state during inflation. The condition to realize the sub-Poissonian graviton statistics is translated into the frequency range of gravitational waves. If the initial state is the Bunch-Davies vacuum, there is another necessary condition between phases of squeezing and coherent parameters. Here, we extend the initial state to entangled states. We consider $\alpha$-vacua as the initial entangled state that are more general de Sitter invariant vacua than the Bunch-Davies vacuum. We find that, unlike the Bunch-Davies vacuum, PGWs generated in the initial entangled state become sub-Poissonian without requiring the condition between the phases.
|
0807.0466
|
Mithat Unsal
|
Mithat Unsal
|
Quantum phase transitions and new scales in QCD-like theories
|
4 pages, 1 figure
| null |
10.1103/PhysRevLett.102.182002
| null |
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is commonly believed that in confining vector-like gauge theories the
center and chiral symmetry realizations are parametrically entangled, and if
phase transitions occur, they must take place around the strong scale
$\Lambda^{-1}$ of the gauge theory. We demonstrate that (non-thermal)
vector-like theories formulated on ${\mathbb R}^{3} \times S^1$ where $S^1$ is
a spatial circle exhibit new dynamical scales and new phenomena. There are
chiral phase transitions taking place at $\Lambda^{-1}/N_c$ in the absence of
any change in center symmetry. $\Lambda^{-1}/N_c$, invisible in (planar)
perturbation theory, is also the scale where abelian versus non-abelian
confinement regimes meet. Large $N_c$ volume independence (a working
Eguchi-Kawai reduction) provides new insights and independently confirms the
existence of these scales. We show that certain phases and scales are outside
the reach of holographic (supergravity) modeling of QCD.
|
[
{
"created": "Thu, 3 Jul 2008 07:17:16 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Unsal",
"Mithat",
""
]
] |
It is commonly believed that in confining vector-like gauge theories the center and chiral symmetry realizations are parametrically entangled, and if phase transitions occur, they must take place around the strong scale $\Lambda^{-1}$ of the gauge theory. We demonstrate that (non-thermal) vector-like theories formulated on ${\mathbb R}^{3} \times S^1$ where $S^1$ is a spatial circle exhibit new dynamical scales and new phenomena. There are chiral phase transitions taking place at $\Lambda^{-1}/N_c$ in the absence of any change in center symmetry. $\Lambda^{-1}/N_c$, invisible in (planar) perturbation theory, is also the scale where abelian versus non-abelian confinement regimes meet. Large $N_c$ volume independence (a working Eguchi-Kawai reduction) provides new insights and independently confirms the existence of these scales. We show that certain phases and scales are outside the reach of holographic (supergravity) modeling of QCD.
|
1011.2207
|
Olaf Lechtenfeld
|
Olaf Lechtenfeld, Konrad Schwerdtfeger, Johannes Th\"urigen
|
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
| null |
SIGMA 7:023,2011
|
10.3842/SIGMA.2011.023
| null |
hep-th math-ph math.MP nlin.SI
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
We review the relation of N=4 superconformal multi-particle models on the
real line to the WDVV equation and an associated linear equation for two
prepotentials, F and U. The superspace treatment gives another variant of the
integrability problem, which we also reformulate as a search for closed flat
Yang-Mills connections. Three- and four-particle solutions are presented. The
covector ansatz turns the WDVV equation into an algebraic condition, for which
we give a formulation in terms of partial isometries. Three ideas for
classifying WDVV solutions are developed: ortho-polytopes, hypergraphs, and
matroids. Various examples and counterexamples are displayed.
|
[
{
"created": "Tue, 9 Nov 2010 21:00:33 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Mar 2011 07:47:22 GMT",
"version": "v2"
}
] |
2011-05-13
|
[
[
"Lechtenfeld",
"Olaf",
""
],
[
"Schwerdtfeger",
"Konrad",
""
],
[
"Thürigen",
"Johannes",
""
]
] |
We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of the integrability problem, which we also reformulate as a search for closed flat Yang-Mills connections. Three- and four-particle solutions are presented. The covector ansatz turns the WDVV equation into an algebraic condition, for which we give a formulation in terms of partial isometries. Three ideas for classifying WDVV solutions are developed: ortho-polytopes, hypergraphs, and matroids. Various examples and counterexamples are displayed.
|
hep-th/0005033
| null |
Dan N. Vollick
|
Spherically Symmetric Solutions and Dark Matter on the Brane
|
5 pages, LATEX
|
Gen.Rel.Grav.34:471-476,2002
|
10.1023/A:1015584523028
| null |
hep-th
| null |
It has recently been suggested that our universe is a three-brane embedded in
a higher dimensional spacetime. In this paper I examine static, spherically
symmetric solutions that satisfy the effective Einstein field equations on a
brane embedded in a five dimensional spacetime. The field equations involve a
term depending on the five dimensional Weyl tensor, so that the solutions will
not be Schwarzschild in general. This Weyl term is traceless so that any
solution of $^{(4)}R=0$ is a possible four dimensional spacetime. Different
solutions correspond to different five dimensional spacetimes and to different
induced energy-momentum tensors on the brane. One interesting possibility is
that the Weyl term could be responsible for the observed dark matter in the
universe.
|
[
{
"created": "Wed, 3 May 2000 21:22:01 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Vollick",
"Dan N.",
""
]
] |
It has recently been suggested that our universe is a three-brane embedded in a higher dimensional spacetime. In this paper I examine static, spherically symmetric solutions that satisfy the effective Einstein field equations on a brane embedded in a five dimensional spacetime. The field equations involve a term depending on the five dimensional Weyl tensor, so that the solutions will not be Schwarzschild in general. This Weyl term is traceless so that any solution of $^{(4)}R=0$ is a possible four dimensional spacetime. Different solutions correspond to different five dimensional spacetimes and to different induced energy-momentum tensors on the brane. One interesting possibility is that the Weyl term could be responsible for the observed dark matter in the universe.
|
hep-th/0302222
|
Robert Brandenberger
|
R. Brandenberger, G. Geshnizjani and S. Watson (Brown Univ.)
|
On the Initial Conditions for Brane Inflation
|
11 pages, 2 figures
|
Phys.Rev. D67 (2003) 123510
|
10.1103/PhysRevD.67.123510
|
BROWN-HET-1347
|
hep-th astro-ph gr-qc hep-ph
| null |
String theory gives rise to various mechanisms to generate primordial
inflation, of which ``brane inflation'' is one of the most widely considered.
In this scenario, inflation takes place while two branes are approaching each
other, and the modulus field representing the separation between the branes
plays the role of the inflaton field. We study the phase space of initial
conditions which can lead to a sufficiently long period of cosmological
inflation, and find that taking into account the possibility of nonvanishing
initial momentum can significantly change the degree of fine tuning of the
required initial conditions.
|
[
{
"created": "Thu, 27 Feb 2003 21:38:48 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Mar 2003 18:58:42 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Brandenberger",
"R.",
"",
"Brown Univ."
],
[
"Geshnizjani",
"G.",
"",
"Brown Univ."
],
[
"Watson",
"S.",
"",
"Brown Univ."
]
] |
String theory gives rise to various mechanisms to generate primordial inflation, of which ``brane inflation'' is one of the most widely considered. In this scenario, inflation takes place while two branes are approaching each other, and the modulus field representing the separation between the branes plays the role of the inflaton field. We study the phase space of initial conditions which can lead to a sufficiently long period of cosmological inflation, and find that taking into account the possibility of nonvanishing initial momentum can significantly change the degree of fine tuning of the required initial conditions.
|
1308.2724
|
Dionisio Bazeia
|
A. Alonso-Izquierdo, D. Bazeia, L. Losano, J. Mateos Guilarte
|
New models for two real scalar fields and their kinklike solutions
|
8 pages, 6 figures; To appear in Adv. High Energy Phys
|
Advances in High Energy Physics 2013, 183295 (2013)
|
10.1155/2013/183295
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study the presence of kinks in models described by two real
scalar fields in bi-dimensional space-time. We generate new two-field models,
constructed from distinct but important one-field models, and we solve them
with techniques that we introduce in the current work. We illustrate the
results with several examples of current interest to high energy physics.
|
[
{
"created": "Tue, 13 Aug 2013 00:26:50 GMT",
"version": "v1"
}
] |
2013-09-10
|
[
[
"Alonso-Izquierdo",
"A.",
""
],
[
"Bazeia",
"D.",
""
],
[
"Losano",
"L.",
""
],
[
"Guilarte",
"J. Mateos",
""
]
] |
In this work we study the presence of kinks in models described by two real scalar fields in bi-dimensional space-time. We generate new two-field models, constructed from distinct but important one-field models, and we solve them with techniques that we introduce in the current work. We illustrate the results with several examples of current interest to high energy physics.
|
2311.10254
|
Yu Nakayama
|
Yu Nakayama
|
Central Extension of Scaling Poincar\'e Algebra
|
In memory of Roman Jackiw, 9 pages, v2: reference added
| null | null |
YITP-23-146
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the possibility of a central extension of the Poincar\'e algebra
and the scaling Poincar\'e algebra. In more than two space-time dimensions, all
the central extensions are trivial and can be removed. In two space-time
dimensions, both the Poincar\'e algebra and the scaling Poincar\'e algebra have
distinct non-trivial central extensions that cannot be removed. In higher
dimensions, the central charges between dilatation and global $U(1)$ symmetry
may not be removed. Based on these central extensions, we give some examples of
projective representations of the (scaling) Poincar\'e symmetry in two
dimensions.
|
[
{
"created": "Fri, 17 Nov 2023 00:51:14 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Dec 2023 01:58:25 GMT",
"version": "v2"
}
] |
2023-12-12
|
[
[
"Nakayama",
"Yu",
""
]
] |
We discuss the possibility of a central extension of the Poincar\'e algebra and the scaling Poincar\'e algebra. In more than two space-time dimensions, all the central extensions are trivial and can be removed. In two space-time dimensions, both the Poincar\'e algebra and the scaling Poincar\'e algebra have distinct non-trivial central extensions that cannot be removed. In higher dimensions, the central charges between dilatation and global $U(1)$ symmetry may not be removed. Based on these central extensions, we give some examples of projective representations of the (scaling) Poincar\'e symmetry in two dimensions.
|
1911.00419
|
Athanasios Chatzistavrakidis
|
Athanasios Chatzistavrakidis, Georgios Karagiannis
|
Relation between standard and exotic duals of differential forms
|
5 pages, two-column format; typo (unnecessary minus sign) corrected
in equation (II.1); matches published version
|
Phys. Rev. D 100, 121902 (2019)
|
10.1103/PhysRevD.100.121902
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Exotic duality suggests a link between gauge theories for differential
p-forms and tensor fields of mixed symmetry [D-2,p] in D spacetime dimensions.
On the other hand, standard Hodge duality relates p-form to (D-p-2)-form gauge
potentials by exchanging their field equations and Bianchi identities.
Following the methodology and the recent proposal of Henneaux, Lekeu and
Leonard that the double dual of the free graviton is algebraically related to
the original graviton and does not provide a new, independent description of
the gravitational field, we examine the status of exotic duality for p-forms.
We find that the exotic dual is algebraically related to the standard dual of a
differential form and therefore they provide equivalent descriptions as free
fields. Introducing sources then leads to currents being proportional. This
relation is extended in a straightforward way for higher exotic duals of the
mixed symmetry type [D-2,...,D-2,p].
|
[
{
"created": "Fri, 1 Nov 2019 15:18:47 GMT",
"version": "v1"
},
{
"created": "Wed, 29 Jan 2020 13:00:28 GMT",
"version": "v2"
},
{
"created": "Tue, 19 May 2020 08:27:32 GMT",
"version": "v3"
}
] |
2020-05-20
|
[
[
"Chatzistavrakidis",
"Athanasios",
""
],
[
"Karagiannis",
"Georgios",
""
]
] |
Exotic duality suggests a link between gauge theories for differential p-forms and tensor fields of mixed symmetry [D-2,p] in D spacetime dimensions. On the other hand, standard Hodge duality relates p-form to (D-p-2)-form gauge potentials by exchanging their field equations and Bianchi identities. Following the methodology and the recent proposal of Henneaux, Lekeu and Leonard that the double dual of the free graviton is algebraically related to the original graviton and does not provide a new, independent description of the gravitational field, we examine the status of exotic duality for p-forms. We find that the exotic dual is algebraically related to the standard dual of a differential form and therefore they provide equivalent descriptions as free fields. Introducing sources then leads to currents being proportional. This relation is extended in a straightforward way for higher exotic duals of the mixed symmetry type [D-2,...,D-2,p].
|
0802.0410
|
Danny Martinez-Pedrera
|
Iman Benmachiche, Jan Louis and Danny Martinez-Pedrera
|
The effective action of the heterotic string compactified on manifolds
with SU(3) structure
|
35 pages
|
Class.Quant.Grav.25:135006,2008
|
10.1088/0264-9381/25/13/135006
|
ZMP-HH/08-2
|
hep-th
| null |
We derive the N=1 effective action of the heterotic string compactified on
manifolds with SU(3) structure in the presence of background fluxes. We use a
Kaluza-Klein reduction and compute the moduli dependence of the Kaehler
potential, the gauge kinetic function and the superpotential entirely from
fermionic terms of the reduced action.
|
[
{
"created": "Mon, 4 Feb 2008 13:29:04 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Feb 2008 20:15:51 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Mar 2008 13:51:41 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Benmachiche",
"Iman",
""
],
[
"Louis",
"Jan",
""
],
[
"Martinez-Pedrera",
"Danny",
""
]
] |
We derive the N=1 effective action of the heterotic string compactified on manifolds with SU(3) structure in the presence of background fluxes. We use a Kaluza-Klein reduction and compute the moduli dependence of the Kaehler potential, the gauge kinetic function and the superpotential entirely from fermionic terms of the reduced action.
|
hep-th/0401159
|
Andreas Bredthauer
|
Andreas Bredthauer, Ulf Lindstrom, Jonas Persson, Linus Wulff
|
Type IIB tensionless superstrings in a pp-wave background
|
1+17 pages, LaTeX, minor corrections, added new references
|
JHEP 0402 (2004) 051
|
10.1088/1126-6708/2004/02/051
|
UUITP-01/04, USITP-04-01, HIP-2004-02/TH
|
hep-th
| null |
We solve the tensionless string in a constant plane wave background and
obtain a hugely degenerate spectrum. This is the case for a large class of
plane wave backgrounds. We show that the solution can also be derived as a
consistent limit of the quantized tensile theory of IIB strings in a pp-wave.
This is in contrast to the situation for several other backgrounds.
|
[
{
"created": "Thu, 22 Jan 2004 16:46:46 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Feb 2004 08:19:29 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bredthauer",
"Andreas",
""
],
[
"Lindstrom",
"Ulf",
""
],
[
"Persson",
"Jonas",
""
],
[
"Wulff",
"Linus",
""
]
] |
We solve the tensionless string in a constant plane wave background and obtain a hugely degenerate spectrum. This is the case for a large class of plane wave backgrounds. We show that the solution can also be derived as a consistent limit of the quantized tensile theory of IIB strings in a pp-wave. This is in contrast to the situation for several other backgrounds.
|
1504.05164
|
Viacheslav Emelyanov
|
Slava Emelyanov
|
Observing quantum gravity in asymptotically AdS space
|
typos fixed; to be published in Physical Review D
|
Phys. Rev. D 92, 124062 (2015)
|
10.1103/PhysRevD.92.124062
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A question is studied whether an observer can discover quantum gravity being
in the semi-classical regime. It is shown that it is indeed possible to probe a
certain quantum gravity effect by employing an appropriately designed detector.
The effect is related to the possibility of having topologically inequivalent
geometries at once in the path integral approach.
A CFT state which is expected to describe the eternal AdS black hole in the
large N limit is discussed. It is argued under certain assumptions that the
black hole boundary should be merely a patch of the entire AdS boundary. This
leads then to a conclusion that that CFT state is the ordinary CFT vacuum
restricted to that patch. If existent, the bulk CFT operators can behave as the
ordinary semi- classical quantum field theory in the large N limit in the weak
sense.
|
[
{
"created": "Mon, 20 Apr 2015 19:21:35 GMT",
"version": "v1"
},
{
"created": "Thu, 28 May 2015 16:28:46 GMT",
"version": "v2"
},
{
"created": "Thu, 10 Dec 2015 19:10:52 GMT",
"version": "v3"
}
] |
2016-01-06
|
[
[
"Emelyanov",
"Slava",
""
]
] |
A question is studied whether an observer can discover quantum gravity being in the semi-classical regime. It is shown that it is indeed possible to probe a certain quantum gravity effect by employing an appropriately designed detector. The effect is related to the possibility of having topologically inequivalent geometries at once in the path integral approach. A CFT state which is expected to describe the eternal AdS black hole in the large N limit is discussed. It is argued under certain assumptions that the black hole boundary should be merely a patch of the entire AdS boundary. This leads then to a conclusion that that CFT state is the ordinary CFT vacuum restricted to that patch. If existent, the bulk CFT operators can behave as the ordinary semi- classical quantum field theory in the large N limit in the weak sense.
|
hep-th/9706021
|
Max Welling
|
M. Welling
|
Explicit solutions for Point Particles and Black Holes in spaces of
constant curvature in 2+1-D Gravity
|
17 pages Latex, 4 eps figures
|
Nucl.Phys. B515 (1998) 436-452
|
10.1016/S0550-3213(98)00008-X
|
THU-97/13
|
hep-th
| null |
In this paper we consider space-times containing matter expanding or
contracting according to a time-dependent scale factor. Cosmologies with
vanishing, positive or negative cosmological constant are considered. In the
case of vanishing or negative cosmological constant open and closed spatial
surfaces are solutions while in the case of positive cosmological constant only
closed surfaces exist. The gravitational field is solved explicitly in the case
of 1 or 2 particles, 1 black-hole, and 1 black-hole vacuum state.
|
[
{
"created": "Tue, 3 Jun 1997 14:44:00 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Welling",
"M.",
""
]
] |
In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmological constant are considered. In the case of vanishing or negative cosmological constant open and closed spatial surfaces are solutions while in the case of positive cosmological constant only closed surfaces exist. The gravitational field is solved explicitly in the case of 1 or 2 particles, 1 black-hole, and 1 black-hole vacuum state.
|
hep-th/0608159
|
Eva Silverstein
|
Michael Dine, Jonathan L. Feng, Eva Silverstein
|
Retrofitting O'Raifeartaigh Models with Dynamical Scales
|
15 pages, harvmac big
|
Phys.Rev.D74:095012,2006
|
10.1103/PhysRevD.74.095012
|
SU-ITP-06/22,SLAC-PUB-12059,UCI-TR-2006-14
|
hep-th hep-ph
| null |
We provide a method for obtaining simple models of supersymmetry breaking,
with all small mass scales generated dynamically, and illustrate it with
explicit examples. We start from models of perturbative supersymmetry breaking,
such as O'Raifeartaigh and Fayet models, that would respect an $R$ symmetry if
their small input parameters transformed as the superpotential does. By
coupling the system to a pure supersymmetric Yang-Mills theory (or a more
general supersymmetric gauge theory with dynamically small vacuum expectation
values), these parameters are replaced by powers of its dynamical scale in a
way that is naturally enforced by the symmetry. We show that supersymmetry
breaking in these models may be straightforwardly mediated to the
supersymmetric Standard Model, obtain complete models of direct gauge
mediation, and comment on related model building strategies that arise in this
simple framework.
|
[
{
"created": "Wed, 23 Aug 2006 17:36:05 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Sep 2006 23:07:57 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Dine",
"Michael",
""
],
[
"Feng",
"Jonathan L.",
""
],
[
"Silverstein",
"Eva",
""
]
] |
We provide a method for obtaining simple models of supersymmetry breaking, with all small mass scales generated dynamically, and illustrate it with explicit examples. We start from models of perturbative supersymmetry breaking, such as O'Raifeartaigh and Fayet models, that would respect an $R$ symmetry if their small input parameters transformed as the superpotential does. By coupling the system to a pure supersymmetric Yang-Mills theory (or a more general supersymmetric gauge theory with dynamically small vacuum expectation values), these parameters are replaced by powers of its dynamical scale in a way that is naturally enforced by the symmetry. We show that supersymmetry breaking in these models may be straightforwardly mediated to the supersymmetric Standard Model, obtain complete models of direct gauge mediation, and comment on related model building strategies that arise in this simple framework.
|
hep-th/9412197
|
Stuart Samuel
|
O. Lechtenfeld and S. Samuel
|
The Solution of the d-Dimensional Twisted Group Lattices
|
21 pages in Latex, replaced version is journal version
|
Int.J.Mod.Phys. A11 (1996) 3227-3246
|
10.1142/S0217751X96001541
|
MPI-PhT/94-88 CCNY-HEP-94/14 ITP-UH-21/94
|
hep-th
| null |
The general d-dimensional twisted group lattice is solved. The irreducible
representations of the corresponding group are constructed by an explicit
procedure. It is proven that they are complete. All matrix representation
solutions to the quantum hyperplane equations are obtained.
|
[
{
"created": "Thu, 22 Dec 1994 12:59:39 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Aug 1996 13:46:35 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Lechtenfeld",
"O.",
""
],
[
"Samuel",
"S.",
""
]
] |
The general d-dimensional twisted group lattice is solved. The irreducible representations of the corresponding group are constructed by an explicit procedure. It is proven that they are complete. All matrix representation solutions to the quantum hyperplane equations are obtained.
|
hep-th/0101136
|
Brett McInnes
|
Brett McInnes
|
Topologically Induced Instability in String Theory
|
24 pages, clarifications suggested by referee, plus brief discussion
of applications to topological black holes; JHEP version
|
JHEP 0103:031,2001
|
10.1088/1126-6708/2001/03/031
|
NUS Maths Report 795
|
hep-th
| null |
Using the generalised AdS/CFT correspondence, we show that there are certain
ten-dimensional differentiable manifolds such that string theory on such a
manifold is unstable [to the emission of "large branes"] no matter what the
metric may be. The instability is thus due to the [differential] topology of
the manifold, not to any particular choice of its geometry. We propose a
precise criterion for this "topology selection mechanism", and prove it in many
cases. The techniques employed may be useful in more general cases.
|
[
{
"created": "Sat, 20 Jan 2001 04:26:26 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Mar 2001 09:11:26 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"McInnes",
"Brett",
""
]
] |
Using the generalised AdS/CFT correspondence, we show that there are certain ten-dimensional differentiable manifolds such that string theory on such a manifold is unstable [to the emission of "large branes"] no matter what the metric may be. The instability is thus due to the [differential] topology of the manifold, not to any particular choice of its geometry. We propose a precise criterion for this "topology selection mechanism", and prove it in many cases. The techniques employed may be useful in more general cases.
|
1310.4196
|
Charles Strickland-Constable
|
Charles Strickland-Constable
|
Subsectors, Dynkin Diagrams and New Generalised Geometries
|
42 pages, v2: minor improvements and changes, published version
| null |
10.1007/JHEP08(2017)144
|
ZMP-HH/13-19
|
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine how generalised geometries can be associated with a labelled
Dynkin diagram built around a gravity line. We present a series of new
generalised geometries based on the groups
$\mathit{Spin}(d,d)\times\mathbb{R}^+$ for which the generalised tangent space
transforms in a spinor representation of the group. In low dimensions these all
appear in subsectors of maximal supergravity theories. The case $d=8$ provides
a geometry for eight-dimensional backgrounds of M theory with only seven-form
flux, which have not been included in any previous geometric construction. This
geometry is also one of a series of "half-exceptional" geometries, which
"geometrise" a six-form gauge field. In the appendix, we consider examples of
other algebras appearing in gravitational theories and give a method to derive
the Dynkin labels for the "section condition" in general. We argue that
generalised geometry can describe restrictions and subsectors of many
gravitational theories.
|
[
{
"created": "Tue, 15 Oct 2013 20:43:50 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Nov 2017 09:52:19 GMT",
"version": "v2"
}
] |
2017-11-15
|
[
[
"Strickland-Constable",
"Charles",
""
]
] |
We examine how generalised geometries can be associated with a labelled Dynkin diagram built around a gravity line. We present a series of new generalised geometries based on the groups $\mathit{Spin}(d,d)\times\mathbb{R}^+$ for which the generalised tangent space transforms in a spinor representation of the group. In low dimensions these all appear in subsectors of maximal supergravity theories. The case $d=8$ provides a geometry for eight-dimensional backgrounds of M theory with only seven-form flux, which have not been included in any previous geometric construction. This geometry is also one of a series of "half-exceptional" geometries, which "geometrise" a six-form gauge field. In the appendix, we consider examples of other algebras appearing in gravitational theories and give a method to derive the Dynkin labels for the "section condition" in general. We argue that generalised geometry can describe restrictions and subsectors of many gravitational theories.
|
0806.2388
|
Itzhak Fouxon
|
Itzhak Fouxon
|
Radiation entropy bound from the second law of thermodynamics
|
3 pages, submitted version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It has been suggested heuristically by Unruh and Wald, and independently by
Page, that among systems with given energy and volume, thermal radiation has
the largest entropy. The suggestion leads to the corresponding universal bound
on entropy of physical systems. Using a gedanken experiment we show that the
bound follows from the second law of thermodynamics if the CPT symmetry is
assumed and a certain general condition on matter holds. The experiment
suggests that a wide class of Lorentz invariant local quantum field theories
obeys a bound on the density of states.
|
[
{
"created": "Sat, 14 Jun 2008 17:10:56 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2008 07:11:42 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Fouxon",
"Itzhak",
""
]
] |
It has been suggested heuristically by Unruh and Wald, and independently by Page, that among systems with given energy and volume, thermal radiation has the largest entropy. The suggestion leads to the corresponding universal bound on entropy of physical systems. Using a gedanken experiment we show that the bound follows from the second law of thermodynamics if the CPT symmetry is assumed and a certain general condition on matter holds. The experiment suggests that a wide class of Lorentz invariant local quantum field theories obeys a bound on the density of states.
|
hep-th/9912061
|
Armen Nersessian
|
A.Nersessian, R.Manvelyan, H.J.W.Mueller-Kirsten
|
Particle with torsion on 3d null-curves
|
4 pages, Talk given by A.N. at 3rd Meeting on Constrained Systems and
Quantum Gravity (September 13-17, 1999, Villasimius, Italy)
|
Nucl.Phys.Proc.Suppl. 88 (2000) 381-384
|
10.1016/S0920-5632(00)00807-0
| null |
hep-th
| null |
We consider a (2+1)-dimensional mechanical system with the Lagrangian linear
in the torsion of a light-like curve. We give Hamiltonian formulation of this
system and show that its mass and spin spectra are defined by one-dimensional
nonrelativistic mechanics with a cubic potential. Consequently, this system
possesses the properties typical of resonance-like particles.
|
[
{
"created": "Wed, 8 Dec 1999 11:44:34 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Nersessian",
"A.",
""
],
[
"Manvelyan",
"R.",
""
],
[
"Mueller-Kirsten",
"H. J. W.",
""
]
] |
We consider a (2+1)-dimensional mechanical system with the Lagrangian linear in the torsion of a light-like curve. We give Hamiltonian formulation of this system and show that its mass and spin spectra are defined by one-dimensional nonrelativistic mechanics with a cubic potential. Consequently, this system possesses the properties typical of resonance-like particles.
|
1804.05179
|
Shogo Aoyama
|
Shogo Aoyama
|
N=(4,0) Super-Liouville Theory on the Coadjoint Orbit and PSU(1,1|2)
|
14 pages, v2: eq. (3.19) and typos corrected, matches published
version
|
Phys. Lett. B785(2018)59-64
|
10.1016/j.physletb.2018.07.062
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An N=(4,0) supersymmetric Liouville theory is formulated by the coadjoint
orbit method. It is discovered that the action has symmetry under PSU(1,1|2).
|
[
{
"created": "Sat, 14 Apr 2018 07:02:18 GMT",
"version": "v1"
},
{
"created": "Sun, 23 Dec 2018 08:01:02 GMT",
"version": "v2"
}
] |
2018-12-27
|
[
[
"Aoyama",
"Shogo",
""
]
] |
An N=(4,0) supersymmetric Liouville theory is formulated by the coadjoint orbit method. It is discovered that the action has symmetry under PSU(1,1|2).
|
2203.05078
|
Gregory Moore
|
Ibrahima Bah, Daniel Freed, Gregory W. Moore, Nikita Nekrasov, Shlomo
S. Razamat, Sakura Sch\"afer-Nameki
|
Snowmass Whitepaper: Physical Mathematics 2021
|
9 pp
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
This is a Snowmass whitepaper on physical mathematics. It briefly summarizes
and highlights some of the key questions drawn from a much more extensive
essay, by the same authors, entitled, "A Panorama Of Physical Mathematics
2021."
|
[
{
"created": "Wed, 9 Mar 2022 22:52:27 GMT",
"version": "v1"
}
] |
2022-03-11
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Freed",
"Daniel",
""
],
[
"Moore",
"Gregory W.",
""
],
[
"Nekrasov",
"Nikita",
""
],
[
"Razamat",
"Shlomo S.",
""
],
[
"Schäfer-Nameki",
"Sakura",
""
]
] |
This is a Snowmass whitepaper on physical mathematics. It briefly summarizes and highlights some of the key questions drawn from a much more extensive essay, by the same authors, entitled, "A Panorama Of Physical Mathematics 2021."
|
1606.01022
|
Antoine Bourget
|
Antoine Bourget and Jan Troost
|
The Arithmetic of Supersymmetric Vacua
|
22 pages, 1 figure
| null |
10.1007/JHEP07(2016)036
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide explicit formulas for the number of vacua of four-dimensional pure
N=1 super Yang-Mills theories on a circle, with any simple gauge algebra and
any choice of center and spectrum of line operators. These form a key
ingredient in the semi-classical calculation of the number of massive vacua of
N=1* gauge theories with gauge algebra su(n) compactified on a circle. Using
arithmetic, we express that number in an SL(2,Z) duality invariant manner. We
confirm our tally of massive vacua of the N=1* theories by a count of
inequivalent extrema of the exact superpotential. Furthermore, we compute a
formula for a refined index that distinguishes massive vacua according to their
unbroken discrete gauge group.
|
[
{
"created": "Fri, 3 Jun 2016 09:54:41 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jul 2016 16:08:49 GMT",
"version": "v2"
}
] |
2016-08-03
|
[
[
"Bourget",
"Antoine",
""
],
[
"Troost",
"Jan",
""
]
] |
We provide explicit formulas for the number of vacua of four-dimensional pure N=1 super Yang-Mills theories on a circle, with any simple gauge algebra and any choice of center and spectrum of line operators. These form a key ingredient in the semi-classical calculation of the number of massive vacua of N=1* gauge theories with gauge algebra su(n) compactified on a circle. Using arithmetic, we express that number in an SL(2,Z) duality invariant manner. We confirm our tally of massive vacua of the N=1* theories by a count of inequivalent extrema of the exact superpotential. Furthermore, we compute a formula for a refined index that distinguishes massive vacua according to their unbroken discrete gauge group.
|
1504.02459
|
Jennifer Ashcroft
|
Jennifer Ashcroft, Mareike Haberichter, Steffen Krusch
|
Baby Skyrme models without a potential term
|
28 pages, 8 figures; updated to match published version in Phys. Rev.
D
|
Phys. Rev. D 91, 105032 (2015)
|
10.1103/PhysRevD.91.105032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a one-parameter family of static baby Skyrme models that do not
require a potential term to admit topological solitons. This is a novel
property as the standard baby Skyrme model must contain a potential term in
order to have stable soliton solutions, though the Skyrme model does not
require this. Our new models satisfy an energy bound that is linear in terms of
the topological charge and can be saturated in an extreme limit. They also
satisfy a virial theorem that is shared by the Skyrme model. We calculate the
solitons of our new models numerically and observe that their form depends
significantly on the choice of parameter. In one extreme, we find compactons
while at the other there is a scale invariant model in which solitons can be
obtained exactly as solutions to a Bogomolny equation. We provide an initial
investigation into these solitons and compare them with the baby Skyrmions of
other models.
|
[
{
"created": "Thu, 9 Apr 2015 19:53:13 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2015 17:25:02 GMT",
"version": "v2"
}
] |
2015-06-01
|
[
[
"Ashcroft",
"Jennifer",
""
],
[
"Haberichter",
"Mareike",
""
],
[
"Krusch",
"Steffen",
""
]
] |
We develop a one-parameter family of static baby Skyrme models that do not require a potential term to admit topological solitons. This is a novel property as the standard baby Skyrme model must contain a potential term in order to have stable soliton solutions, though the Skyrme model does not require this. Our new models satisfy an energy bound that is linear in terms of the topological charge and can be saturated in an extreme limit. They also satisfy a virial theorem that is shared by the Skyrme model. We calculate the solitons of our new models numerically and observe that their form depends significantly on the choice of parameter. In one extreme, we find compactons while at the other there is a scale invariant model in which solitons can be obtained exactly as solutions to a Bogomolny equation. We provide an initial investigation into these solitons and compare them with the baby Skyrmions of other models.
|
1512.01729
|
Benjamin Lovelady
|
Benjamin C. Lovelady and James T. Wheeler
|
Dynamical spacetime symmetry
|
Added section to discuss full space as cotangent bundle
|
Phys. Rev. D 93, 085002 (2016)
|
10.1103/PhysRevD.93.085002
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to the Coleman-Mandula theorem, any gauge theory of gravity
combined with an internal symmetry based on a Lie group must take the form of a
direct product in order to be consistent with basic assumptions of quantum
field theory. However, we show that an alternative gauging of a simple group
can lead dynamically to a spacetime with compact internal symmetry. The
biconformal gauging of the conformal symmetry of n-dim Euclidean space doubles
the dimension to give a symplectic manifold. Examining one of the Lagrangian
submanifolds in the flat case, we find that in addition to the expected SO(n)
connection and curvature, the solder form necessarily becomes Lorentzian.
General coordinate invariance gives rise to an SO(n-1,1) connection on the
spacetime. The principal fiber bundle character of the original SO(n)
guarantees that the two symmetries enter as a direct product, in agreement with
the Coleman-Mandula theorem.
|
[
{
"created": "Sun, 6 Dec 2015 03:02:58 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Apr 2016 22:53:48 GMT",
"version": "v2"
}
] |
2016-04-06
|
[
[
"Lovelady",
"Benjamin C.",
""
],
[
"Wheeler",
"James T.",
""
]
] |
According to the Coleman-Mandula theorem, any gauge theory of gravity combined with an internal symmetry based on a Lie group must take the form of a direct product in order to be consistent with basic assumptions of quantum field theory. However, we show that an alternative gauging of a simple group can lead dynamically to a spacetime with compact internal symmetry. The biconformal gauging of the conformal symmetry of n-dim Euclidean space doubles the dimension to give a symplectic manifold. Examining one of the Lagrangian submanifolds in the flat case, we find that in addition to the expected SO(n) connection and curvature, the solder form necessarily becomes Lorentzian. General coordinate invariance gives rise to an SO(n-1,1) connection on the spacetime. The principal fiber bundle character of the original SO(n) guarantees that the two symmetries enter as a direct product, in agreement with the Coleman-Mandula theorem.
|
hep-th/0003161
|
Yoichi Kazama
|
Y. Kazama and T. Muramatsu
|
On the Supersymmetry and Gauge Structure of Matrix Theory
|
29 pages, 1 figure
|
Nucl.Phys. B584 (2000) 171-196
|
10.1016/S0550-3213(00)00367-9
|
UT-Komaba 00-05
|
hep-th
| null |
Supersymmetric Ward identity for the low energy effective action in the
standard background gauge is derived for {\it arbitrary} trajectories of
supergravitons in Matrix Theory. In our formalism, the quantum-corrected
supersymmetry transformation laws of the supergravitons are directly identified
in closed form, which exhibit an intricate interplay between supersymmetry and
gauge (BRST) symmetry. As an application, we explicitly compute the
transformation laws for the source-probe configuration at 1-loop and confirm
that supersymmetry fixes the form of the action completely, including the
normalization, to the lowest order in the derivative expansion.
|
[
{
"created": "Sat, 18 Mar 2000 06:10:33 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kazama",
"Y.",
""
],
[
"Muramatsu",
"T.",
""
]
] |
Supersymmetric Ward identity for the low energy effective action in the standard background gauge is derived for {\it arbitrary} trajectories of supergravitons in Matrix Theory. In our formalism, the quantum-corrected supersymmetry transformation laws of the supergravitons are directly identified in closed form, which exhibit an intricate interplay between supersymmetry and gauge (BRST) symmetry. As an application, we explicitly compute the transformation laws for the source-probe configuration at 1-loop and confirm that supersymmetry fixes the form of the action completely, including the normalization, to the lowest order in the derivative expansion.
|
1106.5418
|
Bartomeu Fiol
|
Bartomeu Fiol, Blai Garolera
|
Energy loss by radiation to all orders in 1/N
|
4 pages
| null |
10.1103/PhysRevLett.107.151601
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use the AdS/CFT correspondence to compute the energy radiated by an
infinitely massive half-BPS particle charged under N=4 SU(N) SYM, transforming
in the symmetric or antisymmetric representation of the gauge group, and moving
in the vacuum, to all orders in 1/N and for large 't Hooft coupling. For the
antisymmetric case we consider D5-branes reaching the boundary of AdS_5 at
arbitrary timelike trajectories, while for the symmetric case, we consider a
D3-brane in AdS_5 that reaches the boundary at a hyperbola. This D3-brane
solution is the analytic continuation of the one previously used to compute the
expectation value of a circular Wilson loop. We compare our results to the one
obtained for the fundamental representation by Mikhailov, obtained by
considering a string in AdS_5.
|
[
{
"created": "Mon, 27 Jun 2011 15:19:24 GMT",
"version": "v1"
}
] |
2013-05-29
|
[
[
"Fiol",
"Bartomeu",
""
],
[
"Garolera",
"Blai",
""
]
] |
We use the AdS/CFT correspondence to compute the energy radiated by an infinitely massive half-BPS particle charged under N=4 SU(N) SYM, transforming in the symmetric or antisymmetric representation of the gauge group, and moving in the vacuum, to all orders in 1/N and for large 't Hooft coupling. For the antisymmetric case we consider D5-branes reaching the boundary of AdS_5 at arbitrary timelike trajectories, while for the symmetric case, we consider a D3-brane in AdS_5 that reaches the boundary at a hyperbola. This D3-brane solution is the analytic continuation of the one previously used to compute the expectation value of a circular Wilson loop. We compare our results to the one obtained for the fundamental representation by Mikhailov, obtained by considering a string in AdS_5.
|
hep-th/0606162
|
Choon-Lin Ho
|
Hing-Tong Cho and Choon-Lin Ho (Tamkang Univ.)
|
(Quasi)-exactly solvable quasinormal modes
|
5 pages, 1 figure. Replaced with version to appear in J. Phys. A
|
J.Phys. A40 (2007) 1325-1332
|
10.1088/1751-8113/40/6/009
| null |
hep-th astro-ph gr-qc math-ph math.MP quant-ph
| null |
We consider quasinormal modes with complex energies from the point of view of
the theory of quasi-exactly solvable (QES) models. We demonstrate that it is
possible to find new potentials which admit exactly solvable or QES quasinormal
modes by suitable complexification of parameters defining the QES potentials.
Particularly, we obtain one QES and four exactly solvable potentials out of the
five one-dimensional QES systems based on the $sl(2)$ algebra.
|
[
{
"created": "Sat, 17 Jun 2006 07:23:32 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Aug 2006 07:25:30 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Jan 2007 09:21:03 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Cho",
"Hing-Tong",
"",
"Tamkang Univ."
],
[
"Ho",
"Choon-Lin",
"",
"Tamkang Univ."
]
] |
We consider quasinormal modes with complex energies from the point of view of the theory of quasi-exactly solvable (QES) models. We demonstrate that it is possible to find new potentials which admit exactly solvable or QES quasinormal modes by suitable complexification of parameters defining the QES potentials. Particularly, we obtain one QES and four exactly solvable potentials out of the five one-dimensional QES systems based on the $sl(2)$ algebra.
|
hep-th/9704113
|
Gary Shiu
|
Zurab Kakushadze, Gary Shiu and S.-H. Henry Tye
|
Couplings in Asymmetric Orbifolds and Grand Unified String Models
|
54 pages, Revtex 3.0 (to appear in Nucl. Phys. B)
|
Nucl.Phys. B501 (1997) 547-597
|
10.1016/S0550-3213(97)00364-7
|
CLNS 97/1464, HUTP-97/A004, NUB 3153
|
hep-th hep-ph
| null |
Using the bosonic supercurrent (or covariant lattice) formalism, we review
how to compute scattering amplitudes in asymmetric orbifold string models. This
method is particularly useful for calculating scattering of multiple
asymmetrically twisted string states, where the twisted states are rewritten as
ordinary momentum states. We show how to reconstruct some of the 3-family grand
unified string models in this formalism, and identify the quantum numbers of
the massless states in their spectra. The discrete symmetries of these models
are rather intricate. The superpotentials for the 3-family E_6 model and a
closely related SO(10) model are discussed in some detail. The forms of the
superpotentials of the two 3-family SU(6) models (with asymptotically-free
hidden sectors SU(3) and SU(2) \otimes SU(2)) are also presented.
|
[
{
"created": "Tue, 15 Apr 1997 00:17:30 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 1997 19:58:56 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Aug 1997 15:35:59 GMT",
"version": "v3"
}
] |
2009-10-30
|
[
[
"Kakushadze",
"Zurab",
""
],
[
"Shiu",
"Gary",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
Using the bosonic supercurrent (or covariant lattice) formalism, we review how to compute scattering amplitudes in asymmetric orbifold string models. This method is particularly useful for calculating scattering of multiple asymmetrically twisted string states, where the twisted states are rewritten as ordinary momentum states. We show how to reconstruct some of the 3-family grand unified string models in this formalism, and identify the quantum numbers of the massless states in their spectra. The discrete symmetries of these models are rather intricate. The superpotentials for the 3-family E_6 model and a closely related SO(10) model are discussed in some detail. The forms of the superpotentials of the two 3-family SU(6) models (with asymptotically-free hidden sectors SU(3) and SU(2) \otimes SU(2)) are also presented.
|
2006.10762
|
Grant Remmen
|
Ning Bao, Aidan Chatwin-Davies, Grant N. Remmen
|
Warping Wormholes with Dust: a Metric Construction of the Python's Lunch
|
32 pages, 8 figures
|
JHEP 2009:102,2020
|
10.1007/JHEP09(2020)102
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show how wormholes in three spacetime dimensions can be customizably
warped using pressureless matter. In particular, we exhibit a large new class
of solutions in (2+1)-dimensional general relativity with energy-momentum
tensor describing a negative cosmological constant and positive-energy dust.
From this class of solutions, we construct wormhole geometries and study their
geometric and holographic properties, including Ryu-Takayanagi surfaces,
entanglement wedge cross sections, mutual information, and outer entropy.
Finally, we construct a Python's Lunch geometry: a wormhole in asymptotically
anti-de Sitter space with a local maximum in size near its middle.
|
[
{
"created": "Thu, 18 Jun 2020 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 2020 14:45:55 GMT",
"version": "v2"
}
] |
2020-09-18
|
[
[
"Bao",
"Ning",
""
],
[
"Chatwin-Davies",
"Aidan",
""
],
[
"Remmen",
"Grant N.",
""
]
] |
We show how wormholes in three spacetime dimensions can be customizably warped using pressureless matter. In particular, we exhibit a large new class of solutions in (2+1)-dimensional general relativity with energy-momentum tensor describing a negative cosmological constant and positive-energy dust. From this class of solutions, we construct wormhole geometries and study their geometric and holographic properties, including Ryu-Takayanagi surfaces, entanglement wedge cross sections, mutual information, and outer entropy. Finally, we construct a Python's Lunch geometry: a wormhole in asymptotically anti-de Sitter space with a local maximum in size near its middle.
|
hep-th/0312201
|
Giovanni Feverati
|
Giovanni Feverati
|
Exact (d)->(+)&(-) boundary flow in the tricritical Ising model
|
14 pages, 2 figures
|
J.Stat.Mech.0403:P03001,2004
|
10.1088/1742-5468/2004/03/P001
|
SISSA 109/2003/FM
|
hep-th
| null |
The integrable perturbation of the degenerate boundary condition (d) by the
$\phi_{1,3}$ boundary field generates a renormalization group flow down to the
superposition of Cardy boundary states (+)&(-). Exact Thermodynamic Bethe
Ansatz (TBA) equations for all the excited states are derived here extending
the results of a previous paper to this case. As an intermediate step, the
non-Cardy boundary conformal sector (+)&(-) is also described as the scaling
limit of an A_4 lattice model with appropriate integrable boundary conditions
and produces the first example of superposition of finitized Virasoro
characters.
|
[
{
"created": "Wed, 17 Dec 2003 10:11:52 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Feb 2004 16:38:26 GMT",
"version": "v2"
}
] |
2011-02-16
|
[
[
"Feverati",
"Giovanni",
""
]
] |
The integrable perturbation of the degenerate boundary condition (d) by the $\phi_{1,3}$ boundary field generates a renormalization group flow down to the superposition of Cardy boundary states (+)&(-). Exact Thermodynamic Bethe Ansatz (TBA) equations for all the excited states are derived here extending the results of a previous paper to this case. As an intermediate step, the non-Cardy boundary conformal sector (+)&(-) is also described as the scaling limit of an A_4 lattice model with appropriate integrable boundary conditions and produces the first example of superposition of finitized Virasoro characters.
|
hep-th/0503139
|
C. P. Martin
|
C.P. Martin (U. Complutense de Madrid), C. Tamarit (U. Complutense de
Madrid)
|
The U(1)A anomaly in noncommutative SU(N) theories
|
50 pages, 5 figures in eps files. Some comments and references added
|
Phys.Rev. D72 (2005) 085008
|
10.1103/PhysRevD.72.085008
|
FTI/UCM 70-2005
|
hep-th
| null |
We work out the one-loop $U(1)_A$ anomaly for noncommutative SU(N) gauge
theories up to second order in the noncommutative parameter $\theta^{\mu\nu}$.
We set $\theta^{0i}=0$ and conclude that there is no breaking of the classical
$U(1)_A$ symmetry of the theory coming from the contributions that are either
linear or quadratic in $\theta^{\mu\nu}$. Of course, the ordinary anomalous
contributions will be still with us. We also show that the one-loop
conservation of the nonsinglet currents holds at least up to second order in
$\theta^{\mu\nu}$. We adapt our results to noncommutative gauge theories with
SO(N) and U(1) gauge groups.
|
[
{
"created": "Thu, 17 Mar 2005 20:08:56 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2005 18:39:14 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Martin",
"C. P.",
"",
"U. Complutense de Madrid"
],
[
"Tamarit",
"C.",
"",
"U. Complutense de\n Madrid"
]
] |
We work out the one-loop $U(1)_A$ anomaly for noncommutative SU(N) gauge theories up to second order in the noncommutative parameter $\theta^{\mu\nu}$. We set $\theta^{0i}=0$ and conclude that there is no breaking of the classical $U(1)_A$ symmetry of the theory coming from the contributions that are either linear or quadratic in $\theta^{\mu\nu}$. Of course, the ordinary anomalous contributions will be still with us. We also show that the one-loop conservation of the nonsinglet currents holds at least up to second order in $\theta^{\mu\nu}$. We adapt our results to noncommutative gauge theories with SO(N) and U(1) gauge groups.
|
1008.1672
|
Delsate T\'erence
|
T\'erence Delsate
|
New features of black strings and branes in higher dimensional gravity
due to a cosmological constant
|
Ph.D. Thesis
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is essentially organized in two parts: braneworlds and higher
dimensional black objects with a cosmological constant. We present solitonic
braneworld models where the brane are inflating and with the presence of a
cosmological constant, by analyzing four particular models. These models,
although slightly different exhibit common features which are pointed out. We
also consider $1+1$ dimensional toy models for coupling fermionic matter fields
to braneworld. In particular, we focus on a kink or kink/anti-kink solution of
the Sine-Gordon model, which can be seen as modeling a brane in the dimensions
transverse to our four dimensional spacetime. We also analyze the stability of
three particular models admitting kink or anti-kink like solutions and show
that the stability equations are Poschl-Teller equations. In the second part
after quickly reviewing available analytically known solutions, we present the
numerical construction of the higher dimensional charged rotating black hole
with a cosmological constant. Then, we present the black string solution and
review the stability problem of the latter before investigating the existence
of a de Sitter black string, which turns out not to be regular. Finally, we
present the AdS counterpart of the black string solution and study its
stability. Then, we construct numerically non uniform black strings, first in a
perturbative approach, then in the full non linear regime. Our result suggest
the existence of a thermodynamically stable phase of non uniform black string
and point to the presence of a phase of AdS localized black hole. Moreover, we
argue that the phase transition from uniform to non uniform black strings can
be of order larger than one in any number of dimensions, which is not the case
without a cosmological constant.
|
[
{
"created": "Tue, 10 Aug 2010 09:38:28 GMT",
"version": "v1"
}
] |
2010-08-11
|
[
[
"Delsate",
"Térence",
""
]
] |
This thesis is essentially organized in two parts: braneworlds and higher dimensional black objects with a cosmological constant. We present solitonic braneworld models where the brane are inflating and with the presence of a cosmological constant, by analyzing four particular models. These models, although slightly different exhibit common features which are pointed out. We also consider $1+1$ dimensional toy models for coupling fermionic matter fields to braneworld. In particular, we focus on a kink or kink/anti-kink solution of the Sine-Gordon model, which can be seen as modeling a brane in the dimensions transverse to our four dimensional spacetime. We also analyze the stability of three particular models admitting kink or anti-kink like solutions and show that the stability equations are Poschl-Teller equations. In the second part after quickly reviewing available analytically known solutions, we present the numerical construction of the higher dimensional charged rotating black hole with a cosmological constant. Then, we present the black string solution and review the stability problem of the latter before investigating the existence of a de Sitter black string, which turns out not to be regular. Finally, we present the AdS counterpart of the black string solution and study its stability. Then, we construct numerically non uniform black strings, first in a perturbative approach, then in the full non linear regime. Our result suggest the existence of a thermodynamically stable phase of non uniform black string and point to the presence of a phase of AdS localized black hole. Moreover, we argue that the phase transition from uniform to non uniform black strings can be of order larger than one in any number of dimensions, which is not the case without a cosmological constant.
|
hep-th/9511016
| null |
Rulin Xiu (Lyman Lab of Physics, Harvard Univ. Cambridge, MA)
|
One-loop Correction and the Dilaton Runaway Problem
|
19 pages
|
Phys. Rev. D 55, 5075 (1997)
|
10.1103/PhysRevD.55.5075
|
HUTP-95/A040
|
hep-th
| null |
We examine the one-loop vacuum structure of an effective theory of gaugino
condensation coupled to the dilaton for string models in which the gauge
coupling constant does not receive string threshold corrections. The new
ingredients in our treatment are that we take into account the one-loop
correction to the dilaton K\"ahler potential and we use a formulation which
includes a chiral field $H$ corresponding to the gaugino bilinear. We find
through explicit calculation that supersymmetry in the Yang-Mills sector is
broken by gaugino condensation.
The dilaton and $H$ field have masses on the order of the gaugino
condensation scale independently of the dilaton VEV. Although the calculation
performed here is at best a model of the full gaugino condensation dynamics,
the result shows that the one-loop correction to the dilaton K\"ahler potential
as well as the detailed dynamics at the gaugino condensation scale may play an
important role in solving the dilaton runaway problem.
|
[
{
"created": "Thu, 2 Nov 1995 16:05:31 GMT",
"version": "v1"
}
] |
2016-08-24
|
[
[
"Xiu",
"Rulin",
"",
"Lyman Lab of Physics, Harvard Univ. Cambridge, MA"
]
] |
We examine the one-loop vacuum structure of an effective theory of gaugino condensation coupled to the dilaton for string models in which the gauge coupling constant does not receive string threshold corrections. The new ingredients in our treatment are that we take into account the one-loop correction to the dilaton K\"ahler potential and we use a formulation which includes a chiral field $H$ corresponding to the gaugino bilinear. We find through explicit calculation that supersymmetry in the Yang-Mills sector is broken by gaugino condensation. The dilaton and $H$ field have masses on the order of the gaugino condensation scale independently of the dilaton VEV. Although the calculation performed here is at best a model of the full gaugino condensation dynamics, the result shows that the one-loop correction to the dilaton K\"ahler potential as well as the detailed dynamics at the gaugino condensation scale may play an important role in solving the dilaton runaway problem.
|
hep-th/9907008
|
Anatoli Konechny
|
A. Konechny, A. Schwarz
|
1/4-BPS states on noncommutative tori
|
15 pages, Latex; v.2 typos corrected
|
JHEP 9909 (1999) 030
|
10.1088/1126-6708/1999/09/030
| null |
hep-th
| null |
We give an explicit expression for classical 1/4-BPS fields in supersymmetric
Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS
states. In particular we calculate the degeneracy of 1/4-BPS energy levels.
|
[
{
"created": "Fri, 2 Jul 1999 03:19:48 GMT",
"version": "v1"
},
{
"created": "Fri, 6 Aug 1999 12:42:58 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Konechny",
"A.",
""
],
[
"Schwarz",
"A.",
""
]
] |
We give an explicit expression for classical 1/4-BPS fields in supersymmetric Yang-Mills theory on noncommutative tori. We use it to study quantum 1/4-BPS states. In particular we calculate the degeneracy of 1/4-BPS energy levels.
|
hep-th/0110175
|
Norman Cruz Marin
|
Norman Cruz and Samuel Lepe
|
Closed universes can satisfy the holographic principle in three
dimensions
|
14 pages, latex, no figures.Accepted in Phys.Lett.B
|
Phys.Lett. B521 (2001) 343-349
|
10.1016/S0370-2693(01)01234-5
| null |
hep-th
| null |
We examine in details Friedmann-Robertson-Walker models in 2+1 dimensions in
order to investigate the cosmic holographic principle suggested by Fischler and
Susskind. Our results are rigorously derived differing from the previous one
found by Wang and Abdalla. We discuss the erroneous assumptions done in this
work. The matter content of the models is composed of a perfect fluid, with a
$\gamma$-law equation of state. We found that closed universes satisfy the
holographic principle only for exotic matter with a negative pressure. We also
analyze the case of a collapsing flat universe.
|
[
{
"created": "Thu, 18 Oct 2001 21:22:06 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Cruz",
"Norman",
""
],
[
"Lepe",
"Samuel",
""
]
] |
We examine in details Friedmann-Robertson-Walker models in 2+1 dimensions in order to investigate the cosmic holographic principle suggested by Fischler and Susskind. Our results are rigorously derived differing from the previous one found by Wang and Abdalla. We discuss the erroneous assumptions done in this work. The matter content of the models is composed of a perfect fluid, with a $\gamma$-law equation of state. We found that closed universes satisfy the holographic principle only for exotic matter with a negative pressure. We also analyze the case of a collapsing flat universe.
|
2009.07034
|
Job Furtado Neto
|
J. Furtado, A. C. A. Ramos, J. F. Assun\c{c}\~ao
|
Effects of Lorentz violation in the Bose-Einstein condensation
|
6 pages. 2 figures. Version accepted by EPL. Minor typo corrections.
arXiv admin note: text overlap with arXiv:2009.02301
| null |
10.1209/0295-5075/132/31001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study the corrections emergent from a Lorentz-violating
CPT-odd extension of the complex scalar sector to the Bose-Einstein
condensation and to the thermodynamics parameters. We initially discussed some
features of the model to only then compute the corrections to the Bose-Einstein
condensation. The calculations were done by computing the generating
functional, from which we extract the thermodynamics parameters. We also
obtained a Lorentz-violating correction for the critical temperature $T_c$ that
sets the Bose-Einstein Condensation.
|
[
{
"created": "Sat, 12 Sep 2020 23:17:28 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2020 13:35:12 GMT",
"version": "v2"
}
] |
2021-02-03
|
[
[
"Furtado",
"J.",
""
],
[
"Ramos",
"A. C. A.",
""
],
[
"Assunção",
"J. F.",
""
]
] |
In this paper we study the corrections emergent from a Lorentz-violating CPT-odd extension of the complex scalar sector to the Bose-Einstein condensation and to the thermodynamics parameters. We initially discussed some features of the model to only then compute the corrections to the Bose-Einstein condensation. The calculations were done by computing the generating functional, from which we extract the thermodynamics parameters. We also obtained a Lorentz-violating correction for the critical temperature $T_c$ that sets the Bose-Einstein Condensation.
|
hep-th/9909037
|
Dr. Burkhard Kleihaus
|
B. Kleihaus (1) and Jutta Kunz (2) ((1) NUI Maynooth, Ireland, (2)
University Oldenburg, Germany)
|
A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
|
11 pages, including 4 eps figures, LaTex format using RevTex
|
Phys.Rev. D61 (2000) 025003
|
10.1103/PhysRevD.61.025003
| null |
hep-th
| null |
As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2)
Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not
satisfy the first order Bogomol'nyi equations. We construct numerically such a
non-Bogomol'nyi solution, corresponding to a monopole-antimonopole pair, and
extend the construction to finite Higgs potential.
|
[
{
"created": "Tue, 7 Sep 1999 14:31:08 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Kleihaus",
"B.",
""
],
[
"Kunz",
"Jutta",
""
]
] |
As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a non-Bogomol'nyi solution, corresponding to a monopole-antimonopole pair, and extend the construction to finite Higgs potential.
|
hep-th/0703152
|
Ioannis Papadimitriou
|
Ioannis Papadimitriou
|
Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of
the Deformed CFT
|
41 pages, 1 figure; v2 typos corrected, references added; v3 few more
typos corrected and minor comments added. Version to appear in JHEP
|
JHEP 0705:075,2007
|
10.1088/1126-6708/2007/05/075
| null |
hep-th
| null |
We present a general and systematic treatment of multi-trace deformations in
the AdS/CFT correspondence in the large N limit, pointing out and clarifying
subtleties relating to the formulation of the boundary value problem on a
conformal boundary. We then apply this method to study multi-trace deformations
in the presence of a scalar VEV, which requires the coupling to gravity to be
taken into account. We show that supergravity solutions subject to `mixed'
boundary conditions are in one-to-one correspondence with critical points of
the holographic effective action of the dual theory in the presence of a
multi-trace deformation, and we find a number of new exact analytic solutions
involving a minimally or conformally coupled scalar field satisfying `mixed'
boundary conditions. These include the generalization to any dimension of the
instanton solution recently found in hep-th/0611315. Finally, we provide a
systematic method for computing the holographic effective action in the
presence of a multi-trace deformation in a derivative expansion away from the
conformal vacuum using Hamilton-Jacobi theory. Requiring that this effective
action exists and is bounded from below reproduces recent results on the
stability of the AdS vacuum in the presence of `mixed' boundary conditions.
|
[
{
"created": "Fri, 16 Mar 2007 04:36:49 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Apr 2007 08:52:52 GMT",
"version": "v2"
},
{
"created": "Mon, 21 May 2007 13:55:18 GMT",
"version": "v3"
}
] |
2010-10-27
|
[
[
"Papadimitriou",
"Ioannis",
""
]
] |
We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal boundary. We then apply this method to study multi-trace deformations in the presence of a scalar VEV, which requires the coupling to gravity to be taken into account. We show that supergravity solutions subject to `mixed' boundary conditions are in one-to-one correspondence with critical points of the holographic effective action of the dual theory in the presence of a multi-trace deformation, and we find a number of new exact analytic solutions involving a minimally or conformally coupled scalar field satisfying `mixed' boundary conditions. These include the generalization to any dimension of the instanton solution recently found in hep-th/0611315. Finally, we provide a systematic method for computing the holographic effective action in the presence of a multi-trace deformation in a derivative expansion away from the conformal vacuum using Hamilton-Jacobi theory. Requiring that this effective action exists and is bounded from below reproduces recent results on the stability of the AdS vacuum in the presence of `mixed' boundary conditions.
|
hep-th/0604093
|
Yoshiaki Susaki
|
Hajime Aoki (Saga Univ.), Jun Nishimura (KEK, SOKENDAI), Yoshiaki
Susaki (Univ. of Tsukuba, KEK)
|
Probability distribution of the index in gauge theory on 2d
non-commutative geometry
|
16 pages,10 figures, version appeared in JHEP
|
JHEP 0710:024,2007
|
10.1088/1126-6708/2007/10/024
|
SAGA-HE-223, KEK-TH-1085, UTHEP-514
|
hep-th hep-lat
| null |
We investigate the effects of non-commutative geometry on the topological
aspects of gauge theory using a non-perturbative formulation based on the
twisted reduced model. The configuration space is decomposed into topological
sectors labeled by the index nu of the overlap Dirac operator satisfying the
Ginsparg-Wilson relation. We study the probability distribution of nu by Monte
Carlo simulation of the U(1) gauge theory on 2d non-commutative space with
periodic boundary conditions. In general the distribution is asymmetric under
nu -> -nu, reflecting the parity violation due to non-commutative geometry. In
the continuum and infinite-volume limits, however, the distribution turns out
to be dominated by the topologically trivial sector. This conclusion is
consistent with the instanton calculus in the continuum theory. However, it is
in striking contrast to the known results in the commutative case obtained from
lattice simulation, where the distribution is Gaussian in a finite volume, but
the width diverges in the infinite-volume limit. We also calculate the average
action in each topological sector, and provide deeper understanding of the
observed phenomenon.
|
[
{
"created": "Thu, 13 Apr 2006 08:21:05 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Oct 2007 08:04:59 GMT",
"version": "v2"
}
] |
2011-07-19
|
[
[
"Aoki",
"Hajime",
"",
"Saga Univ."
],
[
"Nishimura",
"Jun",
"",
"KEK, SOKENDAI"
],
[
"Susaki",
"Yoshiaki",
"",
"Univ. of Tsukuba, KEK"
]
] |
We investigate the effects of non-commutative geometry on the topological aspects of gauge theory using a non-perturbative formulation based on the twisted reduced model. The configuration space is decomposed into topological sectors labeled by the index nu of the overlap Dirac operator satisfying the Ginsparg-Wilson relation. We study the probability distribution of nu by Monte Carlo simulation of the U(1) gauge theory on 2d non-commutative space with periodic boundary conditions. In general the distribution is asymmetric under nu -> -nu, reflecting the parity violation due to non-commutative geometry. In the continuum and infinite-volume limits, however, the distribution turns out to be dominated by the topologically trivial sector. This conclusion is consistent with the instanton calculus in the continuum theory. However, it is in striking contrast to the known results in the commutative case obtained from lattice simulation, where the distribution is Gaussian in a finite volume, but the width diverges in the infinite-volume limit. We also calculate the average action in each topological sector, and provide deeper understanding of the observed phenomenon.
|
0706.4285
|
Christopher Gauthier
|
Ratindranath Akhoury and Christopher S. Gauthier
|
Decoupling of Heavy Kaluza-Klein Modes In Models With Five-Dimensional
Scalar Fields
|
9 pages, no figures; sign error on equations 20, 36, 37; Added
additional references
|
J.Phys.G36:015005,2009
|
10.1088/0954-3899/36/1/015005
| null |
hep-th
| null |
We investigate the decoupling of heavy Kaluza-Klein modes in $\phi^{4}$
theory and scalar QED with space-time topology $\mathbb{R}^{3,1} \times S^{1}$.
We calculate the effective action due to integrating out heavy KK modes. We
construct generalized RGE's for the couplings with respect to the
compactification scale $M$. With the solutions to the RGE's we find the
$M$-scale dependence of the effective theory due to higher dimensional quantum
effects. We find that the heavy modes decouple in $\phi^{4}$ theory, but do not
decouple in scalar QED. This is due to the zero mode of the 5-th component
$A_{5}$ of the 5-d gauge field. Because $A_{5}$ is a scalar under 4-d Lorentz
transformations, there is no gauge symmetry protecting it from getting mass and
$A_{5}^{4}$ interaction terms after loop corrections. In light of these
unpleasant features, we explore $S^{1}/\mathbb{Z}_{2}$ compactifications, which
eliminate $A_{5}$, allowing for the heavy modes to decouple at low energies. We
also explore the possibility of decoupling by including higher dimensional
operators. It is found that this is possible, but a high degree of fine tuning
is required.
|
[
{
"created": "Thu, 28 Jun 2007 17:58:39 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Oct 2007 02:29:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Akhoury",
"Ratindranath",
""
],
[
"Gauthier",
"Christopher S.",
""
]
] |
We investigate the decoupling of heavy Kaluza-Klein modes in $\phi^{4}$ theory and scalar QED with space-time topology $\mathbb{R}^{3,1} \times S^{1}$. We calculate the effective action due to integrating out heavy KK modes. We construct generalized RGE's for the couplings with respect to the compactification scale $M$. With the solutions to the RGE's we find the $M$-scale dependence of the effective theory due to higher dimensional quantum effects. We find that the heavy modes decouple in $\phi^{4}$ theory, but do not decouple in scalar QED. This is due to the zero mode of the 5-th component $A_{5}$ of the 5-d gauge field. Because $A_{5}$ is a scalar under 4-d Lorentz transformations, there is no gauge symmetry protecting it from getting mass and $A_{5}^{4}$ interaction terms after loop corrections. In light of these unpleasant features, we explore $S^{1}/\mathbb{Z}_{2}$ compactifications, which eliminate $A_{5}$, allowing for the heavy modes to decouple at low energies. We also explore the possibility of decoupling by including higher dimensional operators. It is found that this is possible, but a high degree of fine tuning is required.
|
hep-th/9911210
|
Plamen Bojilov
|
P. Bozhilov
|
Null Branes in String Theory Backgrounds
|
11 pages, LaTeX. Final version, to appear in Phys. Rev. D
|
Phys.Rev. D62 (2000) 105001
|
10.1103/PhysRevD.62.105001
| null |
hep-th gr-qc
| null |
We consider null bosonic p-branes moving in curved space-times and develop a
method for solving their equations of motion and constraints, which is suitable
for string theory backgrounds. As an application, we give an exact solution for
such background in ten dimensions.
|
[
{
"created": "Thu, 25 Nov 1999 18:31:03 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Dec 1999 13:21:39 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Jun 2000 13:42:06 GMT",
"version": "v3"
},
{
"created": "Tue, 1 Aug 2000 08:02:43 GMT",
"version": "v4"
}
] |
2009-10-31
|
[
[
"Bozhilov",
"P.",
""
]
] |
We consider null bosonic p-branes moving in curved space-times and develop a method for solving their equations of motion and constraints, which is suitable for string theory backgrounds. As an application, we give an exact solution for such background in ten dimensions.
|
hep-th/0308024
|
Tamiaki Yoneya
|
Masako Asano, Yasuhiro Sekino, and Tamiaki Yoneya
|
PP-Wave Holography for Dp-Brane Backgrounds
|
43 pages, corrected typos, version to be published in Nucl. Phys. B
|
Nucl.Phys. B678 (2004) 197-232
|
10.1016/j.nuclphysb.2003.11.005
|
UT-KOMABA/03-16, KEK-TH-905
|
hep-th
| null |
As an extension of the so-called BMN conjecture, we investigate the
plane-wave limit for possible holographic connection between bulk string
theories in non-conformal backgrounds of D$p$-branes and the corresponding
supersymmetric gauge theories for $p<5$. Our work is based on the tunneling
picture for dominant null trajectories of strings in the limit of large angular
momentum. The tunneling null trajectories start from the near-horizon boundary
and return to the boundary, and the resulting backgrounds are time-dependent
for general D$p$-branes except for $p=3$. We develop a general method for
extracting diagonalized two-point functions for boundary theories as Euclidean
(bulk) S-matrix in the time-dependent backgrounds. For the case of D0-brane,
two-point functions of supergravity modes are shown to agree with the results
derived previously by the perturbative analysis of supergravity. We then
discuss the implications of the holography for general cases of D$p$-branes
including the stringy excitations. All the cases ($p\ne 3, p<5$) exhibit
interesting infra-red behaviors, which are different from free-field theories,
suggesting the existence of quite nontrivial fixed-points in dual gauge
theories.
|
[
{
"created": "Mon, 4 Aug 2003 14:37:39 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Aug 2003 07:13:51 GMT",
"version": "v2"
},
{
"created": "Sat, 29 Nov 2003 01:39:04 GMT",
"version": "v3"
}
] |
2010-04-05
|
[
[
"Asano",
"Masako",
""
],
[
"Sekino",
"Yasuhiro",
""
],
[
"Yoneya",
"Tamiaki",
""
]
] |
As an extension of the so-called BMN conjecture, we investigate the plane-wave limit for possible holographic connection between bulk string theories in non-conformal backgrounds of D$p$-branes and the corresponding supersymmetric gauge theories for $p<5$. Our work is based on the tunneling picture for dominant null trajectories of strings in the limit of large angular momentum. The tunneling null trajectories start from the near-horizon boundary and return to the boundary, and the resulting backgrounds are time-dependent for general D$p$-branes except for $p=3$. We develop a general method for extracting diagonalized two-point functions for boundary theories as Euclidean (bulk) S-matrix in the time-dependent backgrounds. For the case of D0-brane, two-point functions of supergravity modes are shown to agree with the results derived previously by the perturbative analysis of supergravity. We then discuss the implications of the holography for general cases of D$p$-branes including the stringy excitations. All the cases ($p\ne 3, p<5$) exhibit interesting infra-red behaviors, which are different from free-field theories, suggesting the existence of quite nontrivial fixed-points in dual gauge theories.
|
1110.4386
|
Xi Yin
|
Simone Giombi, Shiraz Minwalla, Shiroman Prakash, Sandip P. Trivedi,
Spenta R. Wadia, Xi Yin
|
Chern-Simons Theory with Vector Fermion Matter
|
122 pages, 59 figures. v2: minor corrections, references added
| null |
10.1140/epjc/s10052-012-2112-0
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study three dimensional conformal field theories described by U(N)
Chern-Simons theory at level k coupled to massless fermions in the fundamental
representation. By solving a Schwinger-Dyson equation in lightcone gauge, we
compute the exact planar free energy of the theory at finite temperature on R^2
as a function of the 't Hooft coupling lambda=N/k. Employing a dimensional
reduction regularization scheme, we find that the free energy vanishes at
|lambda|=1; the conformal theory does not exist for |lambda|>1. We analyze the
operator spectrum via the anomalous conservation relation for higher spin
currents, and in particular show that the higher spin currents do not develop
anomalous dimensions at leading order in 1/N. We present an integral equation
whose solution in principle determines all correlators of these currents at
leading order in 1/N and present explicit perturbative results for all three
point functions up to two loops. We also discuss a lightcone Hamiltonian
formulation of this theory where a W-infinity algebra arises. The maximally
supersymmetric version of our theory is ABJ model with one gauge group taken to
be U(1), demonstrating that a pure higher spin gauge theory arises as a limit
of string theory.
|
[
{
"created": "Wed, 19 Oct 2011 20:15:42 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jun 2012 00:56:50 GMT",
"version": "v2"
}
] |
2015-05-30
|
[
[
"Giombi",
"Simone",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Prakash",
"Shiroman",
""
],
[
"Trivedi",
"Sandip P.",
""
],
[
"Wadia",
"Spenta R.",
""
],
[
"Yin",
"Xi",
""
]
] |
We study three dimensional conformal field theories described by U(N) Chern-Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger-Dyson equation in lightcone gauge, we compute the exact planar free energy of the theory at finite temperature on R^2 as a function of the 't Hooft coupling lambda=N/k. Employing a dimensional reduction regularization scheme, we find that the free energy vanishes at |lambda|=1; the conformal theory does not exist for |lambda|>1. We analyze the operator spectrum via the anomalous conservation relation for higher spin currents, and in particular show that the higher spin currents do not develop anomalous dimensions at leading order in 1/N. We present an integral equation whose solution in principle determines all correlators of these currents at leading order in 1/N and present explicit perturbative results for all three point functions up to two loops. We also discuss a lightcone Hamiltonian formulation of this theory where a W-infinity algebra arises. The maximally supersymmetric version of our theory is ABJ model with one gauge group taken to be U(1), demonstrating that a pure higher spin gauge theory arises as a limit of string theory.
|
hep-th/9501047
|
Dept of Theor. Phys.
|
I.L.Buchbinder, S.M.Kuzenko, A.Yu.Petrov and J.V.Yarevskaya
(Department of Theoretical Physics Tomsk State Pedagogical Institute, Russia)
|
Superfield effective potential
|
LaTeX, 11 pp
| null | null |
TSPI-TH2/94
|
hep-th
| null |
A superfield method of computing the effective potential in supersymmetric
field theories is suggested. Analysis of the structure of the effective
potential in the Wess-Zumino model is carried out. It is shown that the
superfield effective potential is defined by three objects: kahlerian effective
potential, chiral effective potential and auxiliary fields' effective
potential. One-loop kahlerian effective potential is calculated using the
superfield heat kernel technique. A corresponding superfield kernel is found in
explicit form. Procedure for computing higher loop corrections is developed.
First (two-loop) correction to chiral effective potential is found. Two-loop
kahlerian effective potential is calculated.
|
[
{
"created": "Fri, 13 Jan 1995 07:36:20 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Buchbinder",
"I. L.",
"",
"Department of Theoretical Physics Tomsk State Pedagogical Institute, Russia"
],
[
"Kuzenko",
"S. M.",
"",
"Department of Theoretical Physics Tomsk State Pedagogical Institute, Russia"
],
[
"Petrov",
"A. Yu.",
"",
"Department of Theoretical Physics Tomsk State Pedagogical Institute, Russia"
],
[
"Yarevskaya",
"J. V.",
"",
"Department of Theoretical Physics Tomsk State Pedagogical Institute, Russia"
]
] |
A superfield method of computing the effective potential in supersymmetric field theories is suggested. Analysis of the structure of the effective potential in the Wess-Zumino model is carried out. It is shown that the superfield effective potential is defined by three objects: kahlerian effective potential, chiral effective potential and auxiliary fields' effective potential. One-loop kahlerian effective potential is calculated using the superfield heat kernel technique. A corresponding superfield kernel is found in explicit form. Procedure for computing higher loop corrections is developed. First (two-loop) correction to chiral effective potential is found. Two-loop kahlerian effective potential is calculated.
|
hep-th/0307086
|
Louis Leblond
|
Nicholas T. Jones, Louis Leblond, and S.-H. Henry Tye
|
Adding a Brane to the Brane-Anti-Brane Action in BSFT
|
23 pages, 2 figures, minor revisions
|
JHEP 0310 (2003) 002
|
10.1088/1126-6708/2003/10/002
| null |
hep-th
| null |
We attempt to generalize the effective action for the D-brane-anti-D-brane
system obtained from boundary superstring field theory (BSFT) by adding an
extra D-brane to it to obtain a covariantized action for 2 D-branes and 1
anti-D-brane. We discuss the approximations made to obtain the effective action
in closed form. Among other properties, this effective action admits solitonic
solutions of codimension 2 (vortices) when one of the D-brane is far separated
from the brane-anti-brane pair.
|
[
{
"created": "Tue, 8 Jul 2003 21:37:48 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Aug 2003 18:13:36 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Jones",
"Nicholas T.",
""
],
[
"Leblond",
"Louis",
""
],
[
"Tye",
"S. -H. Henry",
""
]
] |
We attempt to generalize the effective action for the D-brane-anti-D-brane system obtained from boundary superstring field theory (BSFT) by adding an extra D-brane to it to obtain a covariantized action for 2 D-branes and 1 anti-D-brane. We discuss the approximations made to obtain the effective action in closed form. Among other properties, this effective action admits solitonic solutions of codimension 2 (vortices) when one of the D-brane is far separated from the brane-anti-brane pair.
|
1603.07103
|
Takashi Yanagisawa
|
Takashi Yanagisawa
|
Chiral sine-Gordon model
|
6 pages; dimension d=2-epsilon
|
EPL 113, 41001 (2016)
|
10.1209/0295-5075/113/41001
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the chiral sine-Gordon model using the renormalization group
method. The chiral sine-Gordon model is a model for $G$-valued fields and
describes a new class of phase transitions, where $G$ is a compact Lie group.
We show that the model is renormalizable by means of a perturbation expansion
and we derive beta functions of the renormalization group theory. The
coefficients of beta functions are represented by the Casimir invariants. The
model contains both asymptotically free and ultraviolet strong coupling
regions. The beta functions have a zero which is a bifurcation point that
divides the parameter space into two regions; they are the weak coupling region
and the strong coupling region. A large-$N$ model is also considered. This
model is reduced to the conventional sine-Gordon model that describes the
Kosterlitz-Thouless transition near the fixed point. In the strong-coupling
limit, the model is reduced to a $U(N)$ matrix model.
|
[
{
"created": "Wed, 23 Mar 2016 09:33:58 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2017 13:56:19 GMT",
"version": "v2"
}
] |
2017-02-22
|
[
[
"Yanagisawa",
"Takashi",
""
]
] |
We investigate the chiral sine-Gordon model using the renormalization group method. The chiral sine-Gordon model is a model for $G$-valued fields and describes a new class of phase transitions, where $G$ is a compact Lie group. We show that the model is renormalizable by means of a perturbation expansion and we derive beta functions of the renormalization group theory. The coefficients of beta functions are represented by the Casimir invariants. The model contains both asymptotically free and ultraviolet strong coupling regions. The beta functions have a zero which is a bifurcation point that divides the parameter space into two regions; they are the weak coupling region and the strong coupling region. A large-$N$ model is also considered. This model is reduced to the conventional sine-Gordon model that describes the Kosterlitz-Thouless transition near the fixed point. In the strong-coupling limit, the model is reduced to a $U(N)$ matrix model.
|
hep-th/0111001
|
Saurya Das
|
Saurya Das (U. Winnipeg), Parthasarathi Majumdar (I.M.Sc.), Rajat K.
Bhaduri (Mc Master U.)
|
General Logarithmic Corrections to Black Hole Entropy
|
12 Pages, Revtex. Minor changes, reference added. To appear in Class.
and Quant. Grav
|
Class.Quant.Grav.19:2355-2368,2002
|
10.1088/0264-9381/19/9/302
| null |
hep-th gr-qc
| null |
We compute leading order corrections to the entropy of any thermodynamic
system due to small statistical fluctuations around equilibrium. When applied
to black holes, these corrections are shown to be of the form $-k\ln(Area)$.
For BTZ black holes, $k=3/2$, as found earlier. We extend the result to anti-de
Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary
dimensions. Finally we examine the role of conformal field theory in black hole
entropy and its corrections.
|
[
{
"created": "Wed, 31 Oct 2001 21:18:17 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Nov 2001 17:21:36 GMT",
"version": "v2"
},
{
"created": "Sat, 23 Mar 2002 01:15:57 GMT",
"version": "v3"
}
] |
2014-11-18
|
[
[
"Das",
"Saurya",
"",
"U. Winnipeg"
],
[
"Majumdar",
"Parthasarathi",
"",
"I.M.Sc."
],
[
"Bhaduri",
"Rajat K.",
"",
"Mc Master U."
]
] |
We compute leading order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form $-k\ln(Area)$. For BTZ black holes, $k=3/2$, as found earlier. We extend the result to anti-de Sitter Schwarzschild and Reissner-Nordstrom black holes in arbitrary dimensions. Finally we examine the role of conformal field theory in black hole entropy and its corrections.
|
hep-th/0207075
|
Peter Horvathy
|
P. A. Horv\'athy
|
Non-commuting coordinates in vortex dynamics and in the Hall effect,
related to "exotic" Galilean symmetry
|
To appear in the proceedings of the International Workshop {\it
Nonlinear Physics: Theory and Experiment.}{\rm II}. Gallipoli, (Lecce,
Italy), to be published by World Scientific. LaTex, 7 pages, no figures
| null |
10.1142/9789812704467_0026
| null |
hep-th
| null |
Vortex dynamics in a thin superfluid ${}^4$He film as well as in a type II
superconductor is described by the classical counterpart of the model advocated
by Peierls, and used for deriving the ground states of the Fractional Quantum
Hall Effect. The model has non-commuting coordinates, and is obtained by
reduction from a particle associated with the ``exotic'' extension of the
planar Galilei group.
|
[
{
"created": "Tue, 9 Jul 2002 08:40:13 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Horváthy",
"P. A.",
""
]
] |
Vortex dynamics in a thin superfluid ${}^4$He film as well as in a type II superconductor is described by the classical counterpart of the model advocated by Peierls, and used for deriving the ground states of the Fractional Quantum Hall Effect. The model has non-commuting coordinates, and is obtained by reduction from a particle associated with the ``exotic'' extension of the planar Galilei group.
|
1507.08628
|
Umut Gursoy
|
Umut Gursoy, Matti Jarvinen, Giuseppe Policastro
|
Late time behavior of non-conformal plasmas
|
31 pages
| null |
10.1007/JHEP01(2016)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine analytically the dependence of the approach to thermal
equilibrium of strongly coupled plasmas on the breaking of scale invariance.
The theories we consider are the holographic duals to Einstein gravity coupled
to a scalar with an exponential potential. The coefficient in the exponent,
$X$, is the parameter that controls the deviation from the conformally
invariant case. For these models we obtain analytic solutions for the plasma
expansion in the late-time limit, under the assumption of boost-invariance, and
we determine the scaling behaviour of the energy density, pressure, and
temperature as a function of time. We find that the temperature decays as a
function of proper time as $T\sim \tau^{-s/4}$ with $s$ determined in terms of
the non-conformality parameter $X$ as $s=4(1-4X^2)/3$. This agrees with the
result of Janik and Peschanski, $s=4/3$, for the conformal plasmas and
generalizes it to non-conformal plasmas with $X\neq 0$. We also consider more
realistic potentials where the exponential is supplemented by power-law terms.
Even though in this case we cannot have exact solutions, we are able under
certain assumptions to determine the scaling of the energy, that receives
logarithmic corrections.
|
[
{
"created": "Thu, 30 Jul 2015 18:58:02 GMT",
"version": "v1"
}
] |
2016-02-17
|
[
[
"Gursoy",
"Umut",
""
],
[
"Jarvinen",
"Matti",
""
],
[
"Policastro",
"Giuseppe",
""
]
] |
We determine analytically the dependence of the approach to thermal equilibrium of strongly coupled plasmas on the breaking of scale invariance. The theories we consider are the holographic duals to Einstein gravity coupled to a scalar with an exponential potential. The coefficient in the exponent, $X$, is the parameter that controls the deviation from the conformally invariant case. For these models we obtain analytic solutions for the plasma expansion in the late-time limit, under the assumption of boost-invariance, and we determine the scaling behaviour of the energy density, pressure, and temperature as a function of time. We find that the temperature decays as a function of proper time as $T\sim \tau^{-s/4}$ with $s$ determined in terms of the non-conformality parameter $X$ as $s=4(1-4X^2)/3$. This agrees with the result of Janik and Peschanski, $s=4/3$, for the conformal plasmas and generalizes it to non-conformal plasmas with $X\neq 0$. We also consider more realistic potentials where the exponential is supplemented by power-law terms. Even though in this case we cannot have exact solutions, we are able under certain assumptions to determine the scaling of the energy, that receives logarithmic corrections.
|
2304.04383
|
Jin Chen
|
Jin Chen, Yongchao L\"u, and Xin Wang
|
D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier
Systems, and the 5d Descendants
|
36+6 pages, minor updates, added refs
| null |
10.1007/JHEP10(2023)045
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the quantization of the 6d Seiberg-Witten curve for D-type minimal
conformal matter theories compactified on a two-torus. The quantized 6d curve
turns out to be a difference equation established via introducing codimension
two and four surface defects. We show that, in the Nekrasov-Shatashvili limit,
the 6d partition function with insertions of codimension two and four defects
serve as the eigenfunction and eigenvalues of the difference equation,
respectively. We further identify the quantum curve of D-type minimal conformal
matters with an elliptic Garnier system recently studied in the integrability
community. At last, as a concrete consequence of our elliptic quantum curve, we
study its RG flows to obtain various quantum curves of 5d ${\rm Sp}(N)+N_f
\mathsf{F},N_f\leq 2N+5$ theories.
|
[
{
"created": "Mon, 10 Apr 2023 04:51:59 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Oct 2023 07:41:27 GMT",
"version": "v2"
}
] |
2023-10-10
|
[
[
"Chen",
"Jin",
""
],
[
"Lü",
"Yongchao",
""
],
[
"Wang",
"Xin",
""
]
] |
We study the quantization of the 6d Seiberg-Witten curve for D-type minimal conformal matter theories compactified on a two-torus. The quantized 6d curve turns out to be a difference equation established via introducing codimension two and four surface defects. We show that, in the Nekrasov-Shatashvili limit, the 6d partition function with insertions of codimension two and four defects serve as the eigenfunction and eigenvalues of the difference equation, respectively. We further identify the quantum curve of D-type minimal conformal matters with an elliptic Garnier system recently studied in the integrability community. At last, as a concrete consequence of our elliptic quantum curve, we study its RG flows to obtain various quantum curves of 5d ${\rm Sp}(N)+N_f \mathsf{F},N_f\leq 2N+5$ theories.
|
1508.00979
|
Y\=uki Nakaguchi
|
Shamik Banerjee, Yuki Nakaguchi, Tatsuma Nishioka
|
Renormalized Entanglement Entropy on Cylinder
|
28 pages, 6 figures, v2: a new section on an interesting discrepancy
added, some explanations clarified
|
JHEP 1603 (2016) 048
|
10.1007/JHEP03(2016)048
|
IPMU-15-0124, UT-15-28
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We develop a framework of calculating entanglement entropy for non-conformal
field theories with the use of the dilaton effective action. To illustrate it,
we locate a theory on a cylinder $\mathbb{R} \times \mathbb{S}^{2}$ and compute
entanglement entropy of a cap-like region perturbatively with respect to the
mass for a free massive scalar field. A renormalized entanglement entropy (REE)
is proposed to regularize the ultraviolet divergence on the cylinder. We find
that the REE decreases monotonically both in the small and large mass regions
as the mass increases. We confirm all of these behaviors by the numerical
calculations, which further shows the monotonic decrease of the REE in the
entire renormalization group flow.
|
[
{
"created": "Wed, 5 Aug 2015 06:04:33 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2016 12:00:07 GMT",
"version": "v2"
}
] |
2016-04-20
|
[
[
"Banerjee",
"Shamik",
""
],
[
"Nakaguchi",
"Yuki",
""
],
[
"Nishioka",
"Tatsuma",
""
]
] |
We develop a framework of calculating entanglement entropy for non-conformal field theories with the use of the dilaton effective action. To illustrate it, we locate a theory on a cylinder $\mathbb{R} \times \mathbb{S}^{2}$ and compute entanglement entropy of a cap-like region perturbatively with respect to the mass for a free massive scalar field. A renormalized entanglement entropy (REE) is proposed to regularize the ultraviolet divergence on the cylinder. We find that the REE decreases monotonically both in the small and large mass regions as the mass increases. We confirm all of these behaviors by the numerical calculations, which further shows the monotonic decrease of the REE in the entire renormalization group flow.
|
1710.02259
|
Sergei V. Ketov
|
Hiroshi Nakada and Sergei V. Ketov
|
Inflation from higher dimensions
|
24 pages, 3 figures, LateX
|
Phys. Rev. D 96, 123530 (2017)
|
10.1103/PhysRevD.96.123530
|
IPMU17-0130
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the scalar potential in four spacetime dimensions from an
eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence
of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and
the cosmological constant $\Lambda$, by using the flux compactification of four
extra dimensions on a 4-sphere with the warp factor. The scalar potential
depends upon two scalar fields: the scalaron and the 4-sphere volume modulus.
We demonstrate that it gives rise to a viable description of cosmological
inflation in the early Universe, with the scalaron playing the role of inflaton
and the volume modulus to be (almost) stabilized at its minimum. We also
speculate about a possibility of embedding our model in eight dimensions into a
modified eight-dimensional supergavity that, in its turn, arises from a
modified eleven-dimensional supergravity.
|
[
{
"created": "Fri, 6 Oct 2017 02:47:43 GMT",
"version": "v1"
}
] |
2018-01-03
|
[
[
"Nakada",
"Hiroshi",
""
],
[
"Ketov",
"Sergei V.",
""
]
] |
We derive the scalar potential in four spacetime dimensions from an eight-dimensional $(R+\gamma R^4-2\Lambda-F_4^2)$ gravity model in the presence of the 4-form $F_4$, with the (modified gravity) coupling constant $\gamma$ and the cosmological constant $\Lambda$, by using the flux compactification of four extra dimensions on a 4-sphere with the warp factor. The scalar potential depends upon two scalar fields: the scalaron and the 4-sphere volume modulus. We demonstrate that it gives rise to a viable description of cosmological inflation in the early Universe, with the scalaron playing the role of inflaton and the volume modulus to be (almost) stabilized at its minimum. We also speculate about a possibility of embedding our model in eight dimensions into a modified eight-dimensional supergavity that, in its turn, arises from a modified eleven-dimensional supergravity.
|
1010.5009
|
Sever Amit
|
Davide Gaiotto, Juan Maldacena, Amit Sever, Pedro Vieira
|
Bootstrapping Null Polygon Wilson Loops
|
29 pages, 10 figures, v2: references added
|
JHEP 1103:092,2011
|
10.1007/JHEP03(2011)092
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the two loop expressions for polygonal Wilson loops by starting
from the one loop expressions and applying an operator product expansion. We do
this for polygonal Wilson loops in R^{1,1} and find a result in agreement with
previous computations. We also discuss the spectrum of excitations around flux
tube that connects two null Wilson lines.
|
[
{
"created": "Sun, 24 Oct 2010 21:20:21 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Feb 2011 21:16:42 GMT",
"version": "v2"
}
] |
2015-03-17
|
[
[
"Gaiotto",
"Davide",
""
],
[
"Maldacena",
"Juan",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] |
We derive the two loop expressions for polygonal Wilson loops by starting from the one loop expressions and applying an operator product expansion. We do this for polygonal Wilson loops in R^{1,1} and find a result in agreement with previous computations. We also discuss the spectrum of excitations around flux tube that connects two null Wilson lines.
|
1401.1455
|
Mikhail Shifman
|
M. Shifman, A. Yung
|
Quantum Deformation of the Effective Theory on Non-Abelian string and
2D-4D correspondence
|
35 pages, 3 figures
| null |
10.1103/PhysRevD.89.065035
|
FTPI-MINN-13/44, UMN-TH-3318/13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore non-Abelian strings in the r=N-1 vacuum of N=2 supersymmetric QCD
with the gauge group U(N) and N_f flavors of quarks (N_f\geq N), where r is the
number of condensed quarks. N=2 supersymmetry is broken down to N=1 by a small
mass term for the adjoint matter. We discover that the low-energy
two-dimensional theory on the string world-sheet receives nonperturbative
corrections from the bulk, through the bulk gaugino condensate. This is in
contradistinction with the r=N vacuum situation, in which nonperturbative
effects on the world sheet are determined by internal dynamics of the
world-sheet theory. The 2D-4D correspondence (the coincidence of spectra of
two-dimensional kinks and four-dimensional monopoles) remains valid in the BPS
sector. Nonperturbative bulk effects deforming the weighted CP model on the
world sheet are found by virtue of the method of resolvents suggested by
Gaiotto, Gukov and Seiberg for surface defects. In the r=N vacuum the gaugino
condensate in the bulk vanishes, and there are no "outside" nonperturbative
corrections on the world sheet.
|
[
{
"created": "Tue, 7 Jan 2014 17:42:16 GMT",
"version": "v1"
}
] |
2015-06-18
|
[
[
"Shifman",
"M.",
""
],
[
"Yung",
"A.",
""
]
] |
We explore non-Abelian strings in the r=N-1 vacuum of N=2 supersymmetric QCD with the gauge group U(N) and N_f flavors of quarks (N_f\geq N), where r is the number of condensed quarks. N=2 supersymmetry is broken down to N=1 by a small mass term for the adjoint matter. We discover that the low-energy two-dimensional theory on the string world-sheet receives nonperturbative corrections from the bulk, through the bulk gaugino condensate. This is in contradistinction with the r=N vacuum situation, in which nonperturbative effects on the world sheet are determined by internal dynamics of the world-sheet theory. The 2D-4D correspondence (the coincidence of spectra of two-dimensional kinks and four-dimensional monopoles) remains valid in the BPS sector. Nonperturbative bulk effects deforming the weighted CP model on the world sheet are found by virtue of the method of resolvents suggested by Gaiotto, Gukov and Seiberg for surface defects. In the r=N vacuum the gaugino condensate in the bulk vanishes, and there are no "outside" nonperturbative corrections on the world sheet.
|
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