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422
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414
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float64 2.99
340
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float64 2.91
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1.68k
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float64 2.92
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621
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float64 2.96
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float64 2.95
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|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2407.07044
|
Danai Roumelioti
|
Danai Roumelioti, Stelios Stefas, George Zoupanos
|
Fuzzy Gravity: Four-Dimensional Gravity on a Covariant Noncommutative
Space and Unification with Internal Interactions
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present work we present an extended description of the covariant
noncommutative space, which accommodates the Fuzzy Gravity model constructed
previously. It is based on the historical lesson that the use of larger
algebras containing all generators of the isometry of the continuous one helped
in formulating a fuzzy covariant noncommutative space. Specifically a further
enlargement of the isometry group leads us, in addition to the construction of
the covariant noncommutative space, also to the suggestion of the group that
should be gauged on such a space in order to construct a Fuzzy Gravity theory.
As a result, we obtain two Fuzzy Gravity models, one in de Sitter and one in
anti-de Sitter space, depending on the extension of the isometry group, and we
discuss their spontaneous symmetry breaking leading to fuzzy versions of the
noncommutative $SO(1,3)$ gravity. In addition we discuss for the first time how
to introduce fermions in the fuzzy gravity and even more importantly how to
unify the constructed noncommutative-fuzzy gravity with internal interactions
based on $SO(10)$ or $SU(5)$ as grand unified theories.
|
[
{
"created": "Tue, 9 Jul 2024 17:05:41 GMT",
"version": "v1"
}
] |
2024-07-10
|
[
[
"Roumelioti",
"Danai",
""
],
[
"Stefas",
"Stelios",
""
],
[
"Zoupanos",
"George",
""
]
] |
In the present work we present an extended description of the covariant noncommutative space, which accommodates the Fuzzy Gravity model constructed previously. It is based on the historical lesson that the use of larger algebras containing all generators of the isometry of the continuous one helped in formulating a fuzzy covariant noncommutative space. Specifically a further enlargement of the isometry group leads us, in addition to the construction of the covariant noncommutative space, also to the suggestion of the group that should be gauged on such a space in order to construct a Fuzzy Gravity theory. As a result, we obtain two Fuzzy Gravity models, one in de Sitter and one in anti-de Sitter space, depending on the extension of the isometry group, and we discuss their spontaneous symmetry breaking leading to fuzzy versions of the noncommutative $SO(1,3)$ gravity. In addition we discuss for the first time how to introduce fermions in the fuzzy gravity and even more importantly how to unify the constructed noncommutative-fuzzy gravity with internal interactions based on $SO(10)$ or $SU(5)$ as grand unified theories.
| 10.427073
| 10.774691
| 10.593135
| 10.052274
| 10.36414
| 10.384531
| 10.105454
| 10.234698
| 10.138743
| 10.497112
| 10.084748
| 9.82943
| 10.130526
| 10.009131
| 10.193132
| 10.120569
| 10.326432
| 9.835508
| 10.052777
| 10.354179
| 10.064818
|
hep-th/9605109
|
Burkhard Kleihaus
|
Burkhard Kleihaus (1), Jutta Kunz (1) and Abha Sood (1) ((1)
Department of Physics, Universitaet Oldenburg, Germany)
|
Sequences of Einstein-Yang-Mills-Dilaton Black Holes
|
71 pages, Latex2e, 29 ps-figures included
|
Phys.Rev. D54 (1996) 5070-5092
|
10.1103/PhysRevD.54.5070
| null |
hep-th gr-qc hep-ph
| null |
Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static
spherically symmetric black hole solutions. The solutions depend on the dilaton
coupling constant $\gamma$ and on the horizon. The SU(2) solutions are labelled
by the number of nodes $n$ of the single gauge field function, whereas the
SO(3) solutions are labelled by the nodes $(n_1,n_2)$ of both gauge field
functions. The SO(3) solutions form sequences characterized by the node
structure $(j,j+n)$, where $j$ is fixed. The sequences of magnetically neutral
solutions tend to magnetically charged limiting solutions. For finite $j$ the
SO(3) sequences tend to magnetically charged Einstein-Yang-Mills-dilaton
solutions with $j$ nodes and charge $P=\sqrt{3}$. For $j=0$ and $j \rightarrow
\infty$ the SO(3) sequences tend to Einstein-Maxwell-dilaton solutions with
magnetic charges $P=\sqrt{3}$ and $P=2$, respectively. The latter also
represent the scaled limiting solutions of the SU(2) sequence. The convergence
of the global properties of the black hole solutions, such as mass, dilaton
charge and Hawking temperature, is exponential. The degree of convergence of
the matter and metric functions of the black hole solutions is related to the
relative location of the horizon to the nodes of the corresponding regular
solutions.
|
[
{
"created": "Wed, 15 May 1996 17:23:43 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Kleihaus",
"Burkhard",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Sood",
"Abha",
""
]
] |
Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static spherically symmetric black hole solutions. The solutions depend on the dilaton coupling constant $\gamma$ and on the horizon. The SU(2) solutions are labelled by the number of nodes $n$ of the single gauge field function, whereas the SO(3) solutions are labelled by the nodes $(n_1,n_2)$ of both gauge field functions. The SO(3) solutions form sequences characterized by the node structure $(j,j+n)$, where $j$ is fixed. The sequences of magnetically neutral solutions tend to magnetically charged limiting solutions. For finite $j$ the SO(3) sequences tend to magnetically charged Einstein-Yang-Mills-dilaton solutions with $j$ nodes and charge $P=\sqrt{3}$. For $j=0$ and $j \rightarrow \infty$ the SO(3) sequences tend to Einstein-Maxwell-dilaton solutions with magnetic charges $P=\sqrt{3}$ and $P=2$, respectively. The latter also represent the scaled limiting solutions of the SU(2) sequence. The convergence of the global properties of the black hole solutions, such as mass, dilaton charge and Hawking temperature, is exponential. The degree of convergence of the matter and metric functions of the black hole solutions is related to the relative location of the horizon to the nodes of the corresponding regular solutions.
| 6.0136
| 5.857489
| 5.778262
| 5.663297
| 5.882023
| 6.077361
| 5.716822
| 5.534398
| 5.769094
| 6.270155
| 5.700068
| 5.68654
| 5.704791
| 5.610517
| 5.648358
| 5.524579
| 5.576519
| 5.410817
| 5.627294
| 5.774142
| 5.608994
|
hep-th/0502203
|
Roman Buniy
|
Roman V. Buniy, Stephen D.H. Hsu
|
Instabilities and the null energy condition
|
5 pages, 1 figure, revtex, presentation improved, minor changes
|
Phys.Lett. B632 (2006) 543-546
|
10.1016/j.physletb.2005.10.075
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We show that violation of the null energy condition implies instability in a
broad class of models, including classical gauge theories with scalar and
fermionic matter as well as any perfect fluid. When applied to the dark energy,
our results imply that $w = p / \rho$ is unlikely to be less than -1.
|
[
{
"created": "Tue, 22 Feb 2005 21:04:23 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Mar 2005 00:11:10 GMT",
"version": "v2"
},
{
"created": "Wed, 8 Jun 2005 21:48:29 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Buniy",
"Roman V.",
""
],
[
"Hsu",
"Stephen D. H.",
""
]
] |
We show that violation of the null energy condition implies instability in a broad class of models, including classical gauge theories with scalar and fermionic matter as well as any perfect fluid. When applied to the dark energy, our results imply that $w = p / \rho$ is unlikely to be less than -1.
| 9.348067
| 7.134106
| 8.891199
| 8.518258
| 7.402758
| 7.568959
| 6.848466
| 7.406429
| 7.117612
| 10.016422
| 7.498896
| 8.364615
| 9.18248
| 8.560661
| 8.319225
| 8.650118
| 8.608801
| 8.358013
| 8.754334
| 9.100445
| 8.561082
|
2403.12127
|
Yiwen Pan
|
Yiwen Pan, Peihe Yang
|
Modularity of Schur index, modular differential equations, and
high-temperature asymptotics
|
44 pages; v2, typo corrected, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we analytically explore the modularity of the flavored Schur
index of 4d $\mathcal{N} = 2$ SCFTs. We focus on the $A_1$ theories of
class-$\mathcal{S}$ and $\mathcal{N} = 4$ theories with $SU(N)$ gauge group. We
work out the modular orbit of the flavored index and defect index, compute the
dimension of the space spanned by the orbit, and provide complete basis for
computing modular transformation matrices. The dimension obtained from the
flavored analysis predicts the minimal order of the unflavored modular
differential equation satisfied by the unflavored Schur index. With the help of
modularity, we also study analytically the high-temperature asymptotics of the
Schur index. In the high-temperature limit $\tau \to +i0$, we identified the
(defect) Schur index of the genus-zero $A_1$ theories of class-$\mathcal{S}$
with the $S^3$-partition function of the $SU(2) \times U(1)^n$ star-shape
quiver (with Wilson line insertion). In the identification, we observe an
interesting relation between the linear-independence of defect indices and the
convergence of the Wilson line partition functions.
|
[
{
"created": "Mon, 18 Mar 2024 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 14 Apr 2024 01:40:14 GMT",
"version": "v2"
}
] |
2024-04-16
|
[
[
"Pan",
"Yiwen",
""
],
[
"Yang",
"Peihe",
""
]
] |
In this paper we analytically explore the modularity of the flavored Schur index of 4d $\mathcal{N} = 2$ SCFTs. We focus on the $A_1$ theories of class-$\mathcal{S}$ and $\mathcal{N} = 4$ theories with $SU(N)$ gauge group. We work out the modular orbit of the flavored index and defect index, compute the dimension of the space spanned by the orbit, and provide complete basis for computing modular transformation matrices. The dimension obtained from the flavored analysis predicts the minimal order of the unflavored modular differential equation satisfied by the unflavored Schur index. With the help of modularity, we also study analytically the high-temperature asymptotics of the Schur index. In the high-temperature limit $\tau \to +i0$, we identified the (defect) Schur index of the genus-zero $A_1$ theories of class-$\mathcal{S}$ with the $S^3$-partition function of the $SU(2) \times U(1)^n$ star-shape quiver (with Wilson line insertion). In the identification, we observe an interesting relation between the linear-independence of defect indices and the convergence of the Wilson line partition functions.
| 8.039896
| 7.949379
| 9.319656
| 7.591763
| 8.200101
| 7.519586
| 8.235505
| 7.93437
| 7.309072
| 9.764951
| 7.621177
| 7.505367
| 7.935236
| 7.43258
| 7.540002
| 7.447943
| 7.475996
| 7.324819
| 7.369832
| 8.177566
| 7.485486
|
1908.03502
|
Mohsen Alishahiha
|
Amin Akhavan and Mohsen Alishahiha
|
An Infalling Observer and Behind the Horizon Cutoff
|
11 pages, one figure, refs added. Published version
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using Papadodimas and Raju construction of operators describing the interior
of a black hole, we present a general relation between partition functions of
operators describing inside and outside the black hole horizon. In particular
for an eternal black hole the partition function of the interior modes may be
given in terms those partition functions associated with the modes of left and
right exteriors. By making use of this relation we observe that setting a
finite UV cutoff will enforce us to have a cutoff behind the horizon whose
value is fixed by the UV cutoff. The resultant cutoff is in agreement with what
obtained in the context of holographic complexity.
|
[
{
"created": "Thu, 8 Aug 2019 12:07:22 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2020 16:34:43 GMT",
"version": "v2"
}
] |
2020-01-24
|
[
[
"Akhavan",
"Amin",
""
],
[
"Alishahiha",
"Mohsen",
""
]
] |
Using Papadodimas and Raju construction of operators describing the interior of a black hole, we present a general relation between partition functions of operators describing inside and outside the black hole horizon. In particular for an eternal black hole the partition function of the interior modes may be given in terms those partition functions associated with the modes of left and right exteriors. By making use of this relation we observe that setting a finite UV cutoff will enforce us to have a cutoff behind the horizon whose value is fixed by the UV cutoff. The resultant cutoff is in agreement with what obtained in the context of holographic complexity.
| 15.161994
| 12.656637
| 14.854983
| 12.689739
| 12.322081
| 12.624114
| 12.363047
| 13.321405
| 12.150656
| 17.193031
| 13.068537
| 12.772028
| 13.390087
| 13.009608
| 13.175469
| 12.431934
| 12.356823
| 12.42657
| 12.785439
| 13.913147
| 12.66991
|
0806.3250
|
Juan Antonio Nieto
|
J. A. Nieto, E. A. Leon
|
Issues of duality in Abelian Gauge Theory and in Linearized Gravity
|
18 pages, Latex, minor changes, references added
|
Rev. Mex. Fis. 55 (2009) 262-269
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We start by describing two of the main proposals for duality in Abelian gauge
theories, namely $F$(ield strength)-duality approach and the $S$% -duality
formalism. We then discuss how $F$-duality and $S$-duality can be applied to
the case of linearized gravity. By emphasizing the similarities and differences
between these two type of dualities we explore the possibility of combining
them in just one duality formalism.
|
[
{
"created": "Thu, 19 Jun 2008 17:38:30 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 2008 15:29:02 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2009 16:48:49 GMT",
"version": "v3"
}
] |
2014-05-27
|
[
[
"Nieto",
"J. A.",
""
],
[
"Leon",
"E. A.",
""
]
] |
We start by describing two of the main proposals for duality in Abelian gauge theories, namely $F$(ield strength)-duality approach and the $S$% -duality formalism. We then discuss how $F$-duality and $S$-duality can be applied to the case of linearized gravity. By emphasizing the similarities and differences between these two type of dualities we explore the possibility of combining them in just one duality formalism.
| 10.263989
| 9.826736
| 9.757692
| 9.128316
| 9.476139
| 9.286318
| 10.58956
| 9.899511
| 9.282247
| 10.89535
| 9.139321
| 9.447824
| 10.026184
| 9.587566
| 10.281139
| 9.3236
| 9.244258
| 9.184946
| 10.054564
| 10.547824
| 9.940699
|
1904.07217
|
Ramon Miravitllas
|
Ramon Miravitllas Mas
|
Resurgence, a problem of missing exponential corrections in asymptotic
expansions
| null | null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that perturbative expansions of path integrals are
divergent. These expansions are to be understood as asymptotic expansions,
which encode the limiting behaviour of the path integral for positive small
coupling. Conventionally, the method of Borel summation assigns a finite answer
to the divergent expansion. Still, the Borel sum might not encode the full
information of a function, because it misses exponentially small corrections.
In the present work, we consider a slight variation of the conventional Borel
summation, in which a generalised Borel transform (an inverse Laplace
transform) is followed by a directional Laplace transform. These new tools will
allow us to give perhaps better answers to typical problems in Borel summation:
missing exponential corrections and ambiguities in the Borel summation. In
addition, we will define resurgence as a connection between the discontinuity
of a function and the coefficients of its asymptotic expansion. From this
definition, we will be able to reduce resurgence to the problem of missing
exponential corrections in asymptotic expansions and understand, within a
unified framework, different approaches to resurgence found in the literature.
|
[
{
"created": "Mon, 15 Apr 2019 17:49:47 GMT",
"version": "v1"
}
] |
2019-04-16
|
[
[
"Mas",
"Ramon Miravitllas",
""
]
] |
It is well known that perturbative expansions of path integrals are divergent. These expansions are to be understood as asymptotic expansions, which encode the limiting behaviour of the path integral for positive small coupling. Conventionally, the method of Borel summation assigns a finite answer to the divergent expansion. Still, the Borel sum might not encode the full information of a function, because it misses exponentially small corrections. In the present work, we consider a slight variation of the conventional Borel summation, in which a generalised Borel transform (an inverse Laplace transform) is followed by a directional Laplace transform. These new tools will allow us to give perhaps better answers to typical problems in Borel summation: missing exponential corrections and ambiguities in the Borel summation. In addition, we will define resurgence as a connection between the discontinuity of a function and the coefficients of its asymptotic expansion. From this definition, we will be able to reduce resurgence to the problem of missing exponential corrections in asymptotic expansions and understand, within a unified framework, different approaches to resurgence found in the literature.
| 8.308163
| 9.161612
| 8.635204
| 8.092661
| 8.839718
| 8.424232
| 8.57955
| 8.352605
| 8.09672
| 8.690912
| 8.06351
| 7.946683
| 8.112895
| 7.864163
| 7.913604
| 7.98667
| 8.198318
| 7.870661
| 7.764536
| 8.16222
| 7.621543
|
1001.4810
|
Jean-Pierre Gazeau
|
Jean-Pierre Gazeau, Petr Siegl and Ahmed Youssef
|
Krein Spaces in de Sitter Quantum Theories
| null |
SIGMA 6 (2010), 011, 23 pages
|
10.3842/SIGMA.2010.011
| null |
hep-th gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by-nc-sa/3.0/
|
Experimental evidences and theoretical motivations lead to consider the
curved space-time relativity based on the de Sitter group $SO_0(1,4)$ or
$Sp(2,2)$ as an appealing substitute to the flat space-time Poincare
relativity. Quantum elementary systems are then associated to unitary
irreducible representations of that simple Lie group. At the lowest limit of
the discrete series lies a remarkable family of scalar representations
involving Krein structures and related undecomposable representation cohomology
which deserves to be thoroughly studied in view of quantization of the
corresponding carrier fields. The purpose of this note is to present the
mathematical material needed to examine the problem and to indicate possible
extensions of an exemplary case, namely the so-called de Sitterian massless
minimally coupled field, i.e. a scalar field in de Sitter space-time which does
not couple to the Ricci curvature.
|
[
{
"created": "Wed, 27 Jan 2010 18:34:53 GMT",
"version": "v1"
}
] |
2010-01-28
|
[
[
"Gazeau",
"Jean-Pierre",
""
],
[
"Siegl",
"Petr",
""
],
[
"Youssef",
"Ahmed",
""
]
] |
Experimental evidences and theoretical motivations lead to consider the curved space-time relativity based on the de Sitter group $SO_0(1,4)$ or $Sp(2,2)$ as an appealing substitute to the flat space-time Poincare relativity. Quantum elementary systems are then associated to unitary irreducible representations of that simple Lie group. At the lowest limit of the discrete series lies a remarkable family of scalar representations involving Krein structures and related undecomposable representation cohomology which deserves to be thoroughly studied in view of quantization of the corresponding carrier fields. The purpose of this note is to present the mathematical material needed to examine the problem and to indicate possible extensions of an exemplary case, namely the so-called de Sitterian massless minimally coupled field, i.e. a scalar field in de Sitter space-time which does not couple to the Ricci curvature.
| 13.318569
| 15.593152
| 12.878269
| 12.91608
| 14.444333
| 13.950126
| 15.019566
| 12.994819
| 13.84239
| 14.684162
| 13.524636
| 13.204602
| 12.871215
| 12.662584
| 12.402054
| 12.725039
| 12.92732
| 12.884131
| 13.259502
| 13.322187
| 12.734404
|
2110.03386
|
Otari Sakhelashvili
|
Otari Sakhelashvili
|
On dual formulation of Axion solution to strong-CP problem
| null | null |
10.1103/PhysRevD.105.085020
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
An exact duality between axion with arbitrary potential and antisymmetric
form-field has been derived some time ago. Using this duality, the axion
solution to strong-CP problem has been formulated as a gauge invariant theory
of forms. In this description, the QCD axion is represented by a Kalb-Ramond
field which is eaten-up by the Chern-Simons $3$-form of QCD, thereby making it
massive. This ensures the CP-invariance of the vacuum. Although viewed as an
effective low energy theory, this formulation accomplishes the same goal as
ordinary Peccei-Quinn mechanism, due to its gauge invariance, it is protected
against unwanted UV-corrections. In the previous work it has been shown that
dual formulation is insensitive to UV-physics in the sense that the corrections
to CP-conserving vacuum from arbitrary massive sources are strictly zero. By
going carefully through duality transformations and source-resolution, we
reproduce this curious result and give some further consistency checks. We
apply similar analysis to other approaches to naturalness problems based on
form fields and axions, such as cosmological relaxation of the standard model
Higgs boson mass via the attractor mechanism.
|
[
{
"created": "Thu, 7 Oct 2021 12:25:56 GMT",
"version": "v1"
}
] |
2022-04-29
|
[
[
"Sakhelashvili",
"Otari",
""
]
] |
An exact duality between axion with arbitrary potential and antisymmetric form-field has been derived some time ago. Using this duality, the axion solution to strong-CP problem has been formulated as a gauge invariant theory of forms. In this description, the QCD axion is represented by a Kalb-Ramond field which is eaten-up by the Chern-Simons $3$-form of QCD, thereby making it massive. This ensures the CP-invariance of the vacuum. Although viewed as an effective low energy theory, this formulation accomplishes the same goal as ordinary Peccei-Quinn mechanism, due to its gauge invariance, it is protected against unwanted UV-corrections. In the previous work it has been shown that dual formulation is insensitive to UV-physics in the sense that the corrections to CP-conserving vacuum from arbitrary massive sources are strictly zero. By going carefully through duality transformations and source-resolution, we reproduce this curious result and give some further consistency checks. We apply similar analysis to other approaches to naturalness problems based on form fields and axions, such as cosmological relaxation of the standard model Higgs boson mass via the attractor mechanism.
| 13.065562
| 12.958663
| 12.836309
| 11.182361
| 13.275619
| 12.913673
| 12.746103
| 12.237383
| 11.785013
| 14.114501
| 12.119039
| 12.18358
| 12.049447
| 11.926081
| 12.581924
| 12.251074
| 12.303205
| 12.177345
| 11.852682
| 12.337113
| 12.275195
|
1911.09934
|
Yuichi Enoki
|
Yuichi Enoki, Taizan Watari
|
Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual
Vacua
|
v2: 75 pages. typo and grammatical corrections, as well as minor
corrections
| null |
10.1007/JHEP06(2020)021
|
IPMU19-0168
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We focus on 4D $\mathcal{N}=2$ string vacua described both by perturbative
Heterotic theory and by Type IIA theory; a Calabi--Yau three-fold $X_{\rm IIA}$
in the Type IIA language is further assumed to have a regular K3-fibration. It
is well-known that one can assign a modular form $\Phi$ to such a vacuum by
counting perturbative BPS states in Heterotic theory or collecting
Noether--Lefschetz numbers associated with the K3-fibration of
$X_{\mathrm{IIA}}$. In this article, we expand the observations and ideas
(using gauge threshold correction) in the literature and formulate a modular
form $\Psi$ with full generality for the class of vacua above, which can be
used along with $\Phi$ for the purpose of classification of those vacua.
Topological invariants of $X_{\mathrm{IIA}}$ can be extracted from $\Phi$ and
$\Psi$, and even a pair of diffeomorphic Calabi--Yau's with different
K\"{a}hler cones may be distinguished by introducing the notion of "the set of
$\Psi$'s for Higgs cascades/for curve classes". We illustrated these ideas by
simple examples.
|
[
{
"created": "Fri, 22 Nov 2019 09:09:28 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Dec 2019 12:55:36 GMT",
"version": "v2"
}
] |
2020-06-24
|
[
[
"Enoki",
"Yuichi",
""
],
[
"Watari",
"Taizan",
""
]
] |
We focus on 4D $\mathcal{N}=2$ string vacua described both by perturbative Heterotic theory and by Type IIA theory; a Calabi--Yau three-fold $X_{\rm IIA}$ in the Type IIA language is further assumed to have a regular K3-fibration. It is well-known that one can assign a modular form $\Phi$ to such a vacuum by counting perturbative BPS states in Heterotic theory or collecting Noether--Lefschetz numbers associated with the K3-fibration of $X_{\mathrm{IIA}}$. In this article, we expand the observations and ideas (using gauge threshold correction) in the literature and formulate a modular form $\Psi$ with full generality for the class of vacua above, which can be used along with $\Phi$ for the purpose of classification of those vacua. Topological invariants of $X_{\mathrm{IIA}}$ can be extracted from $\Phi$ and $\Psi$, and even a pair of diffeomorphic Calabi--Yau's with different K\"{a}hler cones may be distinguished by introducing the notion of "the set of $\Psi$'s for Higgs cascades/for curve classes". We illustrated these ideas by simple examples.
| 9.109722
| 9.276178
| 10.416179
| 8.911787
| 9.603385
| 9.65656
| 8.685407
| 8.924055
| 8.888855
| 10.699797
| 9.188856
| 8.575521
| 9.450209
| 8.38885
| 8.789927
| 8.629461
| 8.592719
| 8.802285
| 8.436598
| 8.938416
| 8.570613
|
1506.04293
|
Edward Witten
|
Edward Witten
|
More On Gauge Theory And Geometric Langlands
|
79 pp, minor corrections in v. 2, more detailed description of
electric eigenbrane in v. 3
| null | null | null |
hep-th math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The geometric Langlands correspondence was described some years ago in terms
of $S$-duality of $\N=4$ super Yang-Mills theory. Some additional matters
relevant to this story are described here. The main goal is to explain directly
why an $A$-brane of a certain simple kind can be an eigenbrane for the action
of 't Hooft operators. To set the stage, we review some facts about Higgs
bundles and the Hitchin fibration. We consider only the simplest examples, in
which many technical questions can be avoided.
|
[
{
"created": "Sat, 13 Jun 2015 16:41:19 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Nov 2016 17:55:19 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Jul 2017 15:29:59 GMT",
"version": "v3"
}
] |
2017-07-31
|
[
[
"Witten",
"Edward",
""
]
] |
The geometric Langlands correspondence was described some years ago in terms of $S$-duality of $\N=4$ super Yang-Mills theory. Some additional matters relevant to this story are described here. The main goal is to explain directly why an $A$-brane of a certain simple kind can be an eigenbrane for the action of 't Hooft operators. To set the stage, we review some facts about Higgs bundles and the Hitchin fibration. We consider only the simplest examples, in which many technical questions can be avoided.
| 11.124518
| 8.949293
| 12.332765
| 9.612954
| 9.855409
| 9.735206
| 9.909095
| 9.951988
| 9.596062
| 11.874773
| 9.51786
| 9.437167
| 10.397703
| 10.001206
| 9.607187
| 9.582527
| 9.465377
| 9.682858
| 9.737823
| 10.357011
| 9.592532
|
hep-th/0212233
|
Gottfried Curio
|
Gottfried Curio
|
Superpotential of the M-theory conifold and type IIA string theory
|
34 pages, latex; reference added, discussion added (sect. 4), minor
changes
|
Int.J.Mod.Phys.A19:521-556,2004
|
10.1142/S0217751X04017720
|
HU-EP-02/59
|
hep-th
| null |
The membrane instanton superpotential for $M$-theory on the $G_2$ holonomy
manifold given by the cone on ${\bf S^3}\x {\bf S^3}$ is given by the
dilogarithm and has Heisenberg monodromy group in the quantum moduli space. We
compare this to a Heisenberg group action on the type IIA hypermultiplet moduli
space for the universal hypermultiplet, to metric corrections from membrane
instantons related to a twisted dilogarithm for the deformed conifold and to a
flat bundle related to a conifold period, the Heisenberg group and the
dilogarithm appearing in five-dimensional Seiberg/Witten theory.
|
[
{
"created": "Thu, 19 Dec 2002 17:45:41 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2003 12:25:46 GMT",
"version": "v2"
},
{
"created": "Tue, 28 Jan 2003 08:55:13 GMT",
"version": "v3"
}
] |
2010-12-03
|
[
[
"Curio",
"Gottfried",
""
]
] |
The membrane instanton superpotential for $M$-theory on the $G_2$ holonomy manifold given by the cone on ${\bf S^3}\x {\bf S^3}$ is given by the dilogarithm and has Heisenberg monodromy group in the quantum moduli space. We compare this to a Heisenberg group action on the type IIA hypermultiplet moduli space for the universal hypermultiplet, to metric corrections from membrane instantons related to a twisted dilogarithm for the deformed conifold and to a flat bundle related to a conifold period, the Heisenberg group and the dilogarithm appearing in five-dimensional Seiberg/Witten theory.
| 11.559514
| 10.217052
| 12.841917
| 10.378231
| 10.839146
| 10.217576
| 10.551499
| 9.940464
| 9.995673
| 14.704054
| 10.718461
| 10.156634
| 11.363918
| 10.078491
| 10.456248
| 10.041462
| 10.026359
| 10.43343
| 9.818055
| 10.845929
| 10.635995
|
2201.13366
|
Hank Chen
|
Hank Chen, Florian Girelli
|
(2-)Drinfel'd Double and (2-)BF Theory
|
40 pages; 0 figures (v2: adjusted \tilde t = t^*, fixed some minor
errors and typos)
|
Phys. Rev. D 106, 105017 (2022)
|
10.1103/PhysRevD.106.105017
| null |
hep-th cond-mat.str-el gr-qc math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The gauge symmetry and shift/translational symmetry of a 3D BF action, which
are associated to a pair of dual Lie algebras, can be combined to form the
Drinfel'd double. This combined symmetry is the gauge symmetry of the
Chern-Simons action which is equivalent to the BF action, up to some boundary
term. We show that something similar happens in 4D when considering a 2-BF
action (aka BFCG action), whose symmetries are specified in terms of a pair of
dual strict Lie 2-algebras (ie. crossed-modules). Combining these symmetries
gives rise to a 2-Drinfel'd double which becomes the gauge symmetry structure
of a 4D BF theory, up to a boundary term. Concretely, we show how using 2-gauge
transformations based on dual crossed-modules, the notion of 2-Drinfel'd double
defined in Ref. arXiv:1109.1344 appears. We also discuss how, similarly to the
Lie algebra case, the symmetric contribution of the $r$-matrix of the
2-Drinfel'd double can be interpreted as a quadratic 2-Casimir, which allows to
recover the notion of duality.
|
[
{
"created": "Mon, 31 Jan 2022 17:26:36 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2022 21:55:09 GMT",
"version": "v2"
}
] |
2022-11-22
|
[
[
"Chen",
"Hank",
""
],
[
"Girelli",
"Florian",
""
]
] |
The gauge symmetry and shift/translational symmetry of a 3D BF action, which are associated to a pair of dual Lie algebras, can be combined to form the Drinfel'd double. This combined symmetry is the gauge symmetry of the Chern-Simons action which is equivalent to the BF action, up to some boundary term. We show that something similar happens in 4D when considering a 2-BF action (aka BFCG action), whose symmetries are specified in terms of a pair of dual strict Lie 2-algebras (ie. crossed-modules). Combining these symmetries gives rise to a 2-Drinfel'd double which becomes the gauge symmetry structure of a 4D BF theory, up to a boundary term. Concretely, we show how using 2-gauge transformations based on dual crossed-modules, the notion of 2-Drinfel'd double defined in Ref. arXiv:1109.1344 appears. We also discuss how, similarly to the Lie algebra case, the symmetric contribution of the $r$-matrix of the 2-Drinfel'd double can be interpreted as a quadratic 2-Casimir, which allows to recover the notion of duality.
| 6.903725
| 7.670819
| 7.546363
| 6.567994
| 7.442522
| 7.614845
| 7.635565
| 7.360799
| 6.990498
| 8.082618
| 6.893505
| 6.59913
| 6.520166
| 6.625228
| 6.588244
| 6.606508
| 6.730489
| 6.546188
| 6.701261
| 6.780027
| 6.51461
|
0901.3412
|
Sunandan Gangopadhyay
|
Joseph Ben Geloun, Sunandan Gangopadhyay, Frederik G Scholtz
|
Harmonic oscillator in a background magnetic field in noncommutative
quantum phase-space
|
7 pages Latex
|
Europhys.Lett.86:51001,2009
|
10.1209/0295-5075/86/51001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve explicitly the two-dimensional harmonic oscillator and the harmonic
oscillator in a background magnetic field in noncommutative phase-space without
making use of any type of representation. A key observation that we make is
that for a specific choice of the noncommutative parameters, the time reversal
symmetry of the systems get restored since the energy spectrum becomes
degenerate. This is in contrast to the noncommutative configuration space where
the time reversal symmetry of the harmonic oscillator is always broken.
|
[
{
"created": "Thu, 22 Jan 2009 14:25:28 GMT",
"version": "v1"
}
] |
2009-08-03
|
[
[
"Geloun",
"Joseph Ben",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Scholtz",
"Frederik G",
""
]
] |
We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type of representation. A key observation that we make is that for a specific choice of the noncommutative parameters, the time reversal symmetry of the systems get restored since the energy spectrum becomes degenerate. This is in contrast to the noncommutative configuration space where the time reversal symmetry of the harmonic oscillator is always broken.
| 7.936517
| 7.60728
| 7.639596
| 7.308703
| 8.192037
| 8.220063
| 8.274817
| 7.519042
| 7.409222
| 8.480028
| 7.17872
| 7.603581
| 7.918161
| 7.497592
| 7.515077
| 7.559074
| 7.54912
| 7.84452
| 7.477473
| 7.707989
| 7.666544
|
hep-th/0507278
|
Antonios Papazoglou
|
Eleftherios Papantonopoulos (Athens, Tech. U.) and Antonios Papazoglou
(ITP, Lausanne)
|
Cosmological Evolution of a Purely Conical Codimension-2 Brane World
|
20 pages, 4 figures, typo corrected
|
JHEP 0509 (2005) 012
|
10.1088/1126-6708/2005/09/012
| null |
hep-th gr-qc
| null |
We study the cosmological evolution of isotropic matter on an infinitely thin
conical codimension-two brane-world. Our analysis is based on the boundary
dynamics of a six-dimensional model in the presence of an induced gravity term
on the brane and a Gauss-Bonnet term in the bulk. With the assumption that the
bulk contains only a cosmological constant Lambda_B, we find that the isotropic
evolution of the brane-universe imposes a tuned relation between the energy
density and the brane equation of state. The evolution of the system has fixed
points (attractors), which correspond to a final state of radiation for
Lambda_B=0 and to de Sitter state for Lambda_B>0. Furthermore, considering
anisotropic matter on the brane, the tuning of the parameters is lifted, and
new regions of the parametric space are available for the cosmological
evolution of the brane-universe. The analysis of the dynamics of the system
shows that, the isotropic fixed points remain attractors of the system, and for
values of Lambda_B which give acceptable cosmological evolution of the equation
of state, the line of isotropic tuning is a very weak attractor. The initial
conditions, in this case, need to be fine tuned to have an evolution with
acceptably small anisotropy.
|
[
{
"created": "Thu, 28 Jul 2005 13:05:49 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Sep 2005 14:21:27 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Papantonopoulos",
"Eleftherios",
"",
"Athens, Tech. U."
],
[
"Papazoglou",
"Antonios",
"",
"ITP, Lausanne"
]
] |
We study the cosmological evolution of isotropic matter on an infinitely thin conical codimension-two brane-world. Our analysis is based on the boundary dynamics of a six-dimensional model in the presence of an induced gravity term on the brane and a Gauss-Bonnet term in the bulk. With the assumption that the bulk contains only a cosmological constant Lambda_B, we find that the isotropic evolution of the brane-universe imposes a tuned relation between the energy density and the brane equation of state. The evolution of the system has fixed points (attractors), which correspond to a final state of radiation for Lambda_B=0 and to de Sitter state for Lambda_B>0. Furthermore, considering anisotropic matter on the brane, the tuning of the parameters is lifted, and new regions of the parametric space are available for the cosmological evolution of the brane-universe. The analysis of the dynamics of the system shows that, the isotropic fixed points remain attractors of the system, and for values of Lambda_B which give acceptable cosmological evolution of the equation of state, the line of isotropic tuning is a very weak attractor. The initial conditions, in this case, need to be fine tuned to have an evolution with acceptably small anisotropy.
| 8.002647
| 8.390761
| 7.847675
| 7.70514
| 8.281897
| 7.952043
| 7.932078
| 7.656737
| 7.71431
| 8.853793
| 7.967121
| 7.853559
| 7.961133
| 7.878436
| 8.061025
| 7.847215
| 7.788276
| 8.119705
| 7.777363
| 7.828924
| 7.894651
|
2205.02535
|
Qingjun Jin
|
Qingjun Jin and Yi Li
|
Five-loop anomalous dimensions of $\phi^Q$ operators in a scalar theory
with $O(N)$ symmetry
|
17 pages, 9 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We compute the complete $Q$-dependence of anomalous dimensions of traceless
symmetric tensor operator $\phi^Q$ in $O(N)$ scalar theory to five-loop. The
renormalization factors are extracted from $\phi^Q\rightarrow Q\phi$ form
factors, and the integrand of form factors are constructed with the help of
unitarity cut method. The anomalous dimensions match the known results in
\cite{Badel:2019oxl, Antipin:2020abu}, where the leading and subleading terms
in the large $Q$ limit were obtained using a semiclassical method.
|
[
{
"created": "Thu, 5 May 2022 09:45:31 GMT",
"version": "v1"
},
{
"created": "Mon, 16 May 2022 02:55:47 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Aug 2022 08:29:53 GMT",
"version": "v3"
}
] |
2022-08-30
|
[
[
"Jin",
"Qingjun",
""
],
[
"Li",
"Yi",
""
]
] |
We compute the complete $Q$-dependence of anomalous dimensions of traceless symmetric tensor operator $\phi^Q$ in $O(N)$ scalar theory to five-loop. The renormalization factors are extracted from $\phi^Q\rightarrow Q\phi$ form factors, and the integrand of form factors are constructed with the help of unitarity cut method. The anomalous dimensions match the known results in \cite{Badel:2019oxl, Antipin:2020abu}, where the leading and subleading terms in the large $Q$ limit were obtained using a semiclassical method.
| 9.312762
| 9.907528
| 13.665597
| 10.952201
| 11.502358
| 12.150265
| 11.341686
| 11.623519
| 10.533095
| 13.779275
| 9.588347
| 9.038171
| 9.987486
| 8.801521
| 9.278293
| 8.874419
| 9.542682
| 9.246178
| 9.031661
| 10.213321
| 8.939298
|
1812.07946
|
Sander Mooij
|
Sander Mooij, Mikhail Shaposhnikov and Thibault Voumard
|
Hidden and explicit quantum scale invariance
|
Minor changes, updated references, matches published version
|
Phys. Rev. D 99, 085013 (2019)
|
10.1103/PhysRevD.99.085013
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There exist renormalisation schemes that explicitly preserve the scale
invariance of a theory at the quantum level. Imposing a scale invariant
renormalisation breaks renormalisability and induces new non-trivial operators
in the theory. In this work, we study the effects of such scale invariant
renormalisation procedures. On the one hand, an explicitly quantum scale
invariant theory can emerge from the scale invariant renormalisation of a scale
invariant Lagrangian. On the other hand, we show how a quantum scale invariant
theory can equally emerge from a Lagrangian visibly breaking scale invariance
renormalised with scale dependent renormalisation (such as the traditional
MS-bar scheme). In this last case, scale invariance is hidden in the theory, in
the sense that it only appears explicitly after renormalisation.
|
[
{
"created": "Wed, 19 Dec 2018 13:56:53 GMT",
"version": "v1"
},
{
"created": "Fri, 3 May 2019 08:59:11 GMT",
"version": "v2"
}
] |
2019-05-08
|
[
[
"Mooij",
"Sander",
""
],
[
"Shaposhnikov",
"Mikhail",
""
],
[
"Voumard",
"Thibault",
""
]
] |
There exist renormalisation schemes that explicitly preserve the scale invariance of a theory at the quantum level. Imposing a scale invariant renormalisation breaks renormalisability and induces new non-trivial operators in the theory. In this work, we study the effects of such scale invariant renormalisation procedures. On the one hand, an explicitly quantum scale invariant theory can emerge from the scale invariant renormalisation of a scale invariant Lagrangian. On the other hand, we show how a quantum scale invariant theory can equally emerge from a Lagrangian visibly breaking scale invariance renormalised with scale dependent renormalisation (such as the traditional MS-bar scheme). In this last case, scale invariance is hidden in the theory, in the sense that it only appears explicitly after renormalisation.
| 7.259855
| 7.717248
| 7.165645
| 7.064706
| 7.315919
| 6.942104
| 7.460163
| 7.022668
| 7.262357
| 7.486592
| 7.149049
| 7.280735
| 7.084929
| 6.915647
| 6.979379
| 6.837046
| 6.689699
| 7.055086
| 6.854107
| 7.169589
| 7.004598
|
2312.13210
|
Marco Scalisi
|
Dieter Lust, Joaquin Masias, Benjamin Muntz, Marco Scalisi
|
Starobinsky Inflation in the Swampland
|
38 pages, 2 figures, 2 appendices; v2: minor corrections, refs and
note added
| null | null |
LMU-ASC 38/23, MPP-2023-281
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We argue that the Starobinsky model of inflation, realised via an $R^2$ term
in the Lagrangian, can originate from quantum effects due to a tower of light
species. By means of two separate arguments, we show how this implies that the
scale of the $R^2$ term must be of order of the species scale $\Lambda_s$,
namely the energy at which gravity becomes strongly coupled. We discuss the
implications and challenges of this scenario for inflation, inflationary
reheating, and string theory embeddings. In this context, we collect strong
evidence to conclude that Starobinsky inflation lies in the Swampland.
|
[
{
"created": "Wed, 20 Dec 2023 17:27:11 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Feb 2024 14:00:27 GMT",
"version": "v2"
}
] |
2024-02-19
|
[
[
"Lust",
"Dieter",
""
],
[
"Masias",
"Joaquin",
""
],
[
"Muntz",
"Benjamin",
""
],
[
"Scalisi",
"Marco",
""
]
] |
We argue that the Starobinsky model of inflation, realised via an $R^2$ term in the Lagrangian, can originate from quantum effects due to a tower of light species. By means of two separate arguments, we show how this implies that the scale of the $R^2$ term must be of order of the species scale $\Lambda_s$, namely the energy at which gravity becomes strongly coupled. We discuss the implications and challenges of this scenario for inflation, inflationary reheating, and string theory embeddings. In this context, we collect strong evidence to conclude that Starobinsky inflation lies in the Swampland.
| 8.939358
| 7.839096
| 8.555927
| 7.706091
| 7.877692
| 7.595314
| 7.656244
| 7.88715
| 7.218265
| 8.837824
| 7.580043
| 8.162823
| 8.87867
| 8.234947
| 8.08565
| 8.30548
| 8.238831
| 8.005712
| 8.492844
| 8.353822
| 8.125046
|
0811.0814
|
Neil Barnaby
|
Neil Barnaby
|
Nonlocal Inflation
|
6 pages, no figures. Conference proceedings for Theory Canada 4.
Accepted for publication in the Canadian Journal of Physics
|
Can.J.Phys.87:189-194,2009
|
10.1139/P08-089
| null |
hep-th astro-ph gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the possibility of realizing inflation in nonlocal field theories
containing infinitely many derivatives. Such constructions arise naturally in
string field theory and also in a number of toy models, such as the p-adic
string. After reviewing the complications (ghosts and instabilities) that arise
when working with high derivative theories we discuss the initial value problem
and perturbative stability of theories with infinitely many derivatives. Next,
we examine the inflationary dynamics and phenomenology of such theories.
Nonlocal inflation can proceed even when the potential is naively too steep and
generically predicts large nongaussianity in the Cosmic Microwave Background.
|
[
{
"created": "Wed, 5 Nov 2008 21:00:02 GMT",
"version": "v1"
}
] |
2010-11-02
|
[
[
"Barnaby",
"Neil",
""
]
] |
We consider the possibility of realizing inflation in nonlocal field theories containing infinitely many derivatives. Such constructions arise naturally in string field theory and also in a number of toy models, such as the p-adic string. After reviewing the complications (ghosts and instabilities) that arise when working with high derivative theories we discuss the initial value problem and perturbative stability of theories with infinitely many derivatives. Next, we examine the inflationary dynamics and phenomenology of such theories. Nonlocal inflation can proceed even when the potential is naively too steep and generically predicts large nongaussianity in the Cosmic Microwave Background.
| 9.359249
| 8.393905
| 9.932834
| 8.96314
| 9.274151
| 8.795614
| 9.054014
| 9.433042
| 8.623563
| 10.641243
| 9.021916
| 9.024666
| 9.310027
| 9.062654
| 9.107596
| 9.549006
| 9.230311
| 9.403265
| 9.029605
| 9.585976
| 8.889025
|
1911.09193
|
Nicol\'as Grandi
|
Laura Cruciani, Nicolas Grandi
|
Holographic metals at finite doping
|
12 pages, 5 figures
| null | null | null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct the electron star solution to the model that was recently
proposed by Kiritsis and Li in order to describe a holographic superconductor
at finite doping. We do so by finding a map between the doped model and the
standard undoped one. In this way, we are able to describe the holographic
metallic phase at finite doping. In particular, we study the gauge field
fluctuations and find the dependence of the electric conductivity on the doping
parameter.
|
[
{
"created": "Wed, 20 Nov 2019 22:09:50 GMT",
"version": "v1"
}
] |
2019-11-22
|
[
[
"Cruciani",
"Laura",
""
],
[
"Grandi",
"Nicolas",
""
]
] |
We construct the electron star solution to the model that was recently proposed by Kiritsis and Li in order to describe a holographic superconductor at finite doping. We do so by finding a map between the doped model and the standard undoped one. In this way, we are able to describe the holographic metallic phase at finite doping. In particular, we study the gauge field fluctuations and find the dependence of the electric conductivity on the doping parameter.
| 9.699312
| 7.334239
| 9.146914
| 7.947288
| 7.879358
| 7.444614
| 7.429587
| 7.248541
| 7.518662
| 9.300808
| 7.630336
| 8.33532
| 9.872023
| 8.998381
| 8.548626
| 8.549162
| 8.136974
| 8.333966
| 8.50457
| 9.752622
| 7.974208
|
2102.07190
|
Harold Blas
|
H. Blas, M. Cerna Magui\~na and L.F. dos Santos
|
Modified non-linear Schr\"odinger models, ${\cal C}{\cal P}_s{\cal T}_d$
symmetry, dark solitons and infinite towers of anomalous charges
|
12pages, 10 figures. NODYCON2021 conference
| null | null | null |
hep-th math-ph math.MP nlin.SI
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
Some modified (defocusing) non-linear Schr\"odinger models (MNLS) possess
infinite towers of anomalous conservation laws with asymptotically conserved
charges. The so-called anomalies of the quasi-conservation laws vanish upon
space-time integration for a special ${\cal C}{\cal P}_s{\cal T}_d$ symmetric
field configurations. We verify numerically the degree of modifications of the
charges around the dark-soliton interaction regions by computing numerically
some representative anomalies related to lowest order quasi-conservation laws
of the non-integrable cubic-quintic NLS model as a modified (defocusing) NLS
model. This modification depends on the parameter $\epsilon$, such that the
standard NLS is recovered for $\epsilon=0$. Here we present the numerical
simulations for small values of $|\epsilon|$, and show that the collision of
two dark solitons are elastic. The NLS-type equations are quite ubiquitous in
several areas of non-linear science.
|
[
{
"created": "Sun, 14 Feb 2021 16:26:12 GMT",
"version": "v1"
}
] |
2021-02-16
|
[
[
"Blas",
"H.",
""
],
[
"Maguiña",
"M. Cerna",
""
],
[
"Santos",
"L. F. dos",
""
]
] |
Some modified (defocusing) non-linear Schr\"odinger models (MNLS) possess infinite towers of anomalous conservation laws with asymptotically conserved charges. The so-called anomalies of the quasi-conservation laws vanish upon space-time integration for a special ${\cal C}{\cal P}_s{\cal T}_d$ symmetric field configurations. We verify numerically the degree of modifications of the charges around the dark-soliton interaction regions by computing numerically some representative anomalies related to lowest order quasi-conservation laws of the non-integrable cubic-quintic NLS model as a modified (defocusing) NLS model. This modification depends on the parameter $\epsilon$, such that the standard NLS is recovered for $\epsilon=0$. Here we present the numerical simulations for small values of $|\epsilon|$, and show that the collision of two dark solitons are elastic. The NLS-type equations are quite ubiquitous in several areas of non-linear science.
| 13.749486
| 13.8588
| 15.97911
| 13.330564
| 13.247273
| 14.528877
| 13.614011
| 12.989274
| 13.302299
| 18.253902
| 13.214848
| 12.835012
| 14.030154
| 13.069082
| 12.708928
| 12.9923
| 12.646668
| 12.749411
| 12.83735
| 14.440056
| 12.790552
|
0708.0759
|
Thomas Konstandin
|
Andres Hernandez, Thomas Konstandin, Michael G. Schmidt
|
Effective Action in a General Chiral Model: Next to Leading Order
Derivative Expansion in the Worldline Method
|
33 pages, minor changes, published version
|
Nucl.Phys.B793:425-450,2008
|
10.1016/j.nuclphysb.2007.10.005
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a formalism to determine the imaginary part of a general chiral
model in the derivative expansion. Our formalism is based on the worldline path
integral for the covariant current that can be given in an explicit chiral and
gauge covariant form. The effective action is then obtained by integrating the
covariant current, taking account of the anomaly.
|
[
{
"created": "Mon, 6 Aug 2007 13:12:15 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Oct 2008 10:26:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Hernandez",
"Andres",
""
],
[
"Konstandin",
"Thomas",
""
],
[
"Schmidt",
"Michael G.",
""
]
] |
We present a formalism to determine the imaginary part of a general chiral model in the derivative expansion. Our formalism is based on the worldline path integral for the covariant current that can be given in an explicit chiral and gauge covariant form. The effective action is then obtained by integrating the covariant current, taking account of the anomaly.
| 11.82975
| 11.769123
| 12.485873
| 10.958414
| 10.630713
| 11.277092
| 11.244847
| 11.006777
| 10.598154
| 12.763927
| 10.810289
| 11.757341
| 10.941422
| 10.768689
| 10.705867
| 10.474819
| 10.925282
| 11.240346
| 11.04135
| 11.447656
| 11.022376
|
1910.12869
|
Andrea Manenti
|
Andrea Manenti
|
Differential operators for superconformal correlation functions
|
Fixed typos in Table 2 and Figure 2
|
J. High Energ. Phys. 2020, 145 (2020)
|
10.1007/JHEP04(2020)145
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a systematic method to expand in components four dimensional
superconformal multiplets. The results cover all possible $\mathcal{N} = 1$
multiplets and some cases of interest for $\mathcal{N} = 2$. As an application
of the formalism we prove that certain $\mathcal{N} = 2$ spinning chiral
operators (also known as "exotic" chiral primaries) do not admit a consistent
three-point function with the stress tensor and therefore cannot be present in
any local SCFT. This extends a previous proof in the literature which only
applies to certain classes of theories. To each superdescendant we associate a
superconformally covariant differential operator, which can then be applied to
any correlator in superspace. In the case of three-point functions, we
introduce a convenient representation of the differential operators that
considerably simplifies their action. As a consequence it is possible to
efficiently obtain the linear relations between the OPE coefficients of the
operators in the same superconformal multiplet and in turn streamline the
computation of superconformal blocks. We also introduce a Mathematica package
to work with four dimensional superspace.
|
[
{
"created": "Mon, 28 Oct 2019 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Nov 2019 18:11:57 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Apr 2020 14:34:27 GMT",
"version": "v3"
},
{
"created": "Fri, 31 Jul 2020 17:45:14 GMT",
"version": "v4"
}
] |
2020-08-03
|
[
[
"Manenti",
"Andrea",
""
]
] |
We present a systematic method to expand in components four dimensional superconformal multiplets. The results cover all possible $\mathcal{N} = 1$ multiplets and some cases of interest for $\mathcal{N} = 2$. As an application of the formalism we prove that certain $\mathcal{N} = 2$ spinning chiral operators (also known as "exotic" chiral primaries) do not admit a consistent three-point function with the stress tensor and therefore cannot be present in any local SCFT. This extends a previous proof in the literature which only applies to certain classes of theories. To each superdescendant we associate a superconformally covariant differential operator, which can then be applied to any correlator in superspace. In the case of three-point functions, we introduce a convenient representation of the differential operators that considerably simplifies their action. As a consequence it is possible to efficiently obtain the linear relations between the OPE coefficients of the operators in the same superconformal multiplet and in turn streamline the computation of superconformal blocks. We also introduce a Mathematica package to work with four dimensional superspace.
| 7.166461
| 7.214098
| 7.872731
| 7.043169
| 7.507119
| 6.774519
| 7.136009
| 6.892629
| 6.93016
| 8.126801
| 6.859095
| 6.834409
| 7.555583
| 7.07091
| 6.924654
| 6.977441
| 7.128706
| 7.033826
| 7.097641
| 7.377229
| 6.96564
|
2102.06190
|
Julius Grimminger
|
Antoine Bourget, Julius F. Grimminger, Amihay Hanany, Marcus Sperling
and Zhenghao Zhong
|
Branes, Quivers, and the Affine Grassmannian
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
Brane systems provide a large class of gauge theories that arise in string
theory. This paper demonstrates how such brane systems fit with a somewhat
exotic geometric object, called the affine Grassmannian. This gives a strong
motivation to study physical aspects of the affine Grassmannian. Explicit
quivers are presented throughout the paper, and a quiver addition algorithm to
generate the affine Grassmannian is introduced. An important outcome of this
study is a set of quivers for new elementary slices.
|
[
{
"created": "Thu, 11 Feb 2021 18:53:37 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Apr 2021 16:25:54 GMT",
"version": "v2"
}
] |
2021-04-07
|
[
[
"Bourget",
"Antoine",
""
],
[
"Grimminger",
"Julius F.",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
],
[
"Zhong",
"Zhenghao",
""
]
] |
Brane systems provide a large class of gauge theories that arise in string theory. This paper demonstrates how such brane systems fit with a somewhat exotic geometric object, called the affine Grassmannian. This gives a strong motivation to study physical aspects of the affine Grassmannian. Explicit quivers are presented throughout the paper, and a quiver addition algorithm to generate the affine Grassmannian is introduced. An important outcome of this study is a set of quivers for new elementary slices.
| 20.661039
| 16.753254
| 21.699301
| 17.647099
| 18.088667
| 18.12229
| 18.894337
| 17.083773
| 17.531902
| 24.058035
| 17.722782
| 17.734306
| 19.112907
| 17.542732
| 17.692764
| 16.922277
| 17.693487
| 17.11661
| 17.390186
| 19.141207
| 17.54517
|
1307.6158
|
Bojan Nikoli\'c
|
Ljubica Davidovic, Bojan Nikolic, Branislav Sazdovic
|
Canonical approach to the closed string noncommutativity
|
We add the Sec. 4. where we compared our results with previous ones.
We also improved Abstract, Introduction and Conclusion as described above. In
addition, we corrected all typos and grammatical errors we noticed
|
Eur. Phys. J. C Vol. 74, Issue 1, 2014
|
10.1140/epjc/s10052-014-2734-5
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the closed string moving in the weakly curved background and its
totally T-dualized background. Using T-duality transformation laws, we find the
structure of the Poisson brackets in the T-dual space corresponding to the
fundamental Poisson brackets in the original theory. From this structure we
obtain that the commutative original theory is equivalent to the
non-commutative T-dual theory, whose Poisson brackets are proportional to the
background fluxes times winding and momenta numbers. The non-commutative theory
of the present article is more nongeometrical then T-folds and in the case of
three space-time dimensions corresponds to the nongeometric space-time with
$R$-flux.
|
[
{
"created": "Tue, 23 Jul 2013 17:06:02 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Nov 2013 19:02:17 GMT",
"version": "v2"
}
] |
2014-02-04
|
[
[
"Davidovic",
"Ljubica",
""
],
[
"Nikolic",
"Bojan",
""
],
[
"Sazdovic",
"Branislav",
""
]
] |
We consider the closed string moving in the weakly curved background and its totally T-dualized background. Using T-duality transformation laws, we find the structure of the Poisson brackets in the T-dual space corresponding to the fundamental Poisson brackets in the original theory. From this structure we obtain that the commutative original theory is equivalent to the non-commutative T-dual theory, whose Poisson brackets are proportional to the background fluxes times winding and momenta numbers. The non-commutative theory of the present article is more nongeometrical then T-folds and in the case of three space-time dimensions corresponds to the nongeometric space-time with $R$-flux.
| 11.157161
| 11.85872
| 13.41731
| 10.75491
| 12.792467
| 12.673439
| 12.024688
| 11.707539
| 11.178446
| 13.8564
| 11.2484
| 10.994204
| 11.553092
| 10.805079
| 10.39726
| 11.13123
| 11.063245
| 10.756187
| 10.599929
| 11.284776
| 10.8119
|
hep-th/0005193
|
Yuri Shtanov
|
Yu. V. Shtanov (Bogolyubov Institute, Kiev)
|
On Brane-World Cosmology
|
10 pages, revtex, an important note added: all the results presented
in this paper were previously obtained in hep-ph/0003173, of which the author
was not aware
| null | null | null |
hep-th gr-qc hep-ph
| null |
In the study of three-brane cosmological models, an unusual law of
cosmological expansion on the brane has been reported. According to this law,
the energy density of matter on the brane quadratically enters the right-hand
side of the new equations for the brane world, in contrast with the standard
cosmology, where it enters the similar equations linearly. However, this result
is obtained in the absence of curvature-dependent terms in the action for the
brane. In this paper, we derive the field equations for a brane world embedded
into a five-dimensional spacetime in the case where such terms are present. We
also discuss some cosmological solutions of the resulting equations.
|
[
{
"created": "Mon, 22 May 2000 22:19:54 GMT",
"version": "v1"
},
{
"created": "Tue, 23 May 2000 20:41:45 GMT",
"version": "v2"
},
{
"created": "Wed, 24 May 2000 20:33:45 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Shtanov",
"Yu. V.",
"",
"Bogolyubov Institute, Kiev"
]
] |
In the study of three-brane cosmological models, an unusual law of cosmological expansion on the brane has been reported. According to this law, the energy density of matter on the brane quadratically enters the right-hand side of the new equations for the brane world, in contrast with the standard cosmology, where it enters the similar equations linearly. However, this result is obtained in the absence of curvature-dependent terms in the action for the brane. In this paper, we derive the field equations for a brane world embedded into a five-dimensional spacetime in the case where such terms are present. We also discuss some cosmological solutions of the resulting equations.
| 7.350181
| 7.430181
| 7.095006
| 7.019487
| 6.662478
| 7.227643
| 6.828696
| 6.6983
| 7.049848
| 7.439806
| 6.797091
| 7.149105
| 6.992179
| 6.905429
| 6.995805
| 6.976013
| 6.872668
| 6.781442
| 6.944686
| 6.882333
| 6.846443
|
hep-th/9609201
|
Mikhail Volkov
|
Mikhail S.Volkov
|
Negative modes around Einstein-Yang-Mills sphalerons and black holes
|
19 pp, LaTeX, epsf, 2 postscript figures, Published in "Geometry and
Integrable Models", Eds. P.N. Pyatov \& S.N.Solodukhin, World Scientific
1996, pp. 55-77
| null | null | null |
hep-th
| null |
The dynamics of small perturbations around sphaleron and black hole solutions
in the Einstein-Yang-Mills theory for the gauge group $SU(2)$ is investigated.
The perturbations can be split into the two independent sectors in accordance
with their parity; each sector contains negative modes. The even-parity
negative modes are shown to correspond to the negative second variations of the
height of the potential energy barrier near the sphaleron. For the odd-parity
sector, the existence of precisely $n$ (the number of nodes of the sphaleron
solution gauge field function) negative modes is rigorously proven. The same
results hold for the Einstein-Yang-Mills black holes as well.
|
[
{
"created": "Wed, 25 Sep 1996 14:39:03 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Volkov",
"Mikhail S.",
""
]
] |
The dynamics of small perturbations around sphaleron and black hole solutions in the Einstein-Yang-Mills theory for the gauge group $SU(2)$ is investigated. The perturbations can be split into the two independent sectors in accordance with their parity; each sector contains negative modes. The even-parity negative modes are shown to correspond to the negative second variations of the height of the potential energy barrier near the sphaleron. For the odd-parity sector, the existence of precisely $n$ (the number of nodes of the sphaleron solution gauge field function) negative modes is rigorously proven. The same results hold for the Einstein-Yang-Mills black holes as well.
| 8.315463
| 7.013114
| 7.199285
| 6.961189
| 7.328839
| 6.805545
| 7.894973
| 6.966447
| 7.069157
| 7.878783
| 7.405901
| 7.14525
| 7.189213
| 7.345273
| 7.246763
| 7.361667
| 7.409527
| 7.629421
| 7.28774
| 7.368766
| 7.294348
|
hep-th/0001192
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov and Sergio Zerbini
|
Quantum (in)stability of dilatonic AdS backgrounds and holographic
renormalization group with gravity
|
LaTeX file, 19 pages, misprints corrected
|
Phys.Rev.D62:064006,2000
|
10.1103/PhysRevD.62.064006
|
NDA-FP-71
|
hep-th
| null |
Stability of dilatonic AdS spaces due to quantum effects of dilaton coupled
conformal matter is considered. When such spaces do not exist on classical
level, their dynamical generation occurs. Explicit examples corresponding to
quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black
Hole (BH) are presented. Motivated by holographic RG, in the similar approach
the complete d5 effective action is discussed. The intermediate region where it
is the sum of two parts: bulk (classical gravity) and boundary quantum action
is investigated. The effective equations solution representing d5 AdS Universe
with warp scale factor is found. Four-dimensional de Sitter or AdS world is
generated on the boundary of such Universe as a result of quantum effects.
|
[
{
"created": "Fri, 28 Jan 2000 02:30:36 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2000 11:59:20 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Feb 2000 09:20:11 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Zerbini",
"Sergio",
""
]
] |
Stability of dilatonic AdS spaces due to quantum effects of dilaton coupled conformal matter is considered. When such spaces do not exist on classical level, their dynamical generation occurs. Explicit examples corresponding to quantum creation of d4 dilatonic AdS Universe and of d2 dilatonic AdS Black Hole (BH) are presented. Motivated by holographic RG, in the similar approach the complete d5 effective action is discussed. The intermediate region where it is the sum of two parts: bulk (classical gravity) and boundary quantum action is investigated. The effective equations solution representing d5 AdS Universe with warp scale factor is found. Four-dimensional de Sitter or AdS world is generated on the boundary of such Universe as a result of quantum effects.
| 17.966005
| 16.690138
| 18.502262
| 15.88351
| 17.72657
| 15.12976
| 17.050793
| 14.980873
| 15.973445
| 20.229918
| 16.347334
| 15.0782
| 16.7994
| 15.740008
| 16.648058
| 15.681351
| 15.215967
| 16.378855
| 16.145815
| 16.718039
| 16.100147
|
hep-th/9810036
|
P. Menotti
|
P. Menotti (Department of Physics, University of Pisa, Italy)
|
Regge-Liouville action from group theory
|
4 pages LaTeX, to appear in the proceedings of ``Path Integrals from
peV to TeV'', Florence-Italy, August 25-29, 1998
| null | null |
IFUP-TH 48/98
|
hep-th gr-qc hep-lat
| null |
We work out the constraints imposed by SL(2C) invariance for sphere topology
and modular invariance for torus topology, on the discretized form of Liouville
action in Polyakov's non local covariant form. These are sufficient to
completely fix the discretized action except for the overall normalization
constant and a term which in the continuum limit goes over to a topological
invariant. The treatment can be extended to the supersymmetric case.
|
[
{
"created": "Tue, 6 Oct 1998 08:31:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Menotti",
"P.",
"",
"Department of Physics, University of Pisa, Italy"
]
] |
We work out the constraints imposed by SL(2C) invariance for sphere topology and modular invariance for torus topology, on the discretized form of Liouville action in Polyakov's non local covariant form. These are sufficient to completely fix the discretized action except for the overall normalization constant and a term which in the continuum limit goes over to a topological invariant. The treatment can be extended to the supersymmetric case.
| 13.843305
| 12.313659
| 11.820198
| 10.4067
| 11.429947
| 11.691462
| 10.969385
| 11.472074
| 10.928339
| 13.107518
| 10.991758
| 10.636806
| 11.483841
| 10.255387
| 10.958615
| 10.791517
| 11.244187
| 10.402946
| 10.640221
| 11.447606
| 11.091562
|
1106.3494
|
Agostino Patella
|
Agostino Patella
|
GMOR-like relation in IR-conformal gauge theories
|
28 pages, 1 PDF figure
|
Phys.Rev. D84 (2011) 125033
|
10.1103/PhysRevD.84.125033
|
CERN-PH-TH/2011-144
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A generalization of the GMOR relation to the case of infrared-conformal gauge
theories is discussed. The starting point is the chiral Ward identity
connecting the isovector pseudoscalar susceptibility to the chiral condensate,
in a mass-deformed theory. A renormalization-group analysis shows that the
pseudoscalar susceptibility is not saturated by the lightest state, but a
contribution from the continuum part of the spectrum survives in the chiral
limit. The computation also shows how infrared-conformal gauge theories behave
differently, depending on whether the anomalous dimension of the chiral
condensate be smaller or larger than 1.
|
[
{
"created": "Fri, 17 Jun 2011 14:21:26 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2012 19:03:21 GMT",
"version": "v2"
}
] |
2012-03-29
|
[
[
"Patella",
"Agostino",
""
]
] |
A generalization of the GMOR relation to the case of infrared-conformal gauge theories is discussed. The starting point is the chiral Ward identity connecting the isovector pseudoscalar susceptibility to the chiral condensate, in a mass-deformed theory. A renormalization-group analysis shows that the pseudoscalar susceptibility is not saturated by the lightest state, but a contribution from the continuum part of the spectrum survives in the chiral limit. The computation also shows how infrared-conformal gauge theories behave differently, depending on whether the anomalous dimension of the chiral condensate be smaller or larger than 1.
| 7.2972
| 7.354933
| 6.88159
| 6.64814
| 7.239251
| 8.417822
| 7.81515
| 7.574634
| 6.469843
| 7.085149
| 7.942444
| 6.439672
| 6.328561
| 6.352157
| 6.353682
| 6.519301
| 6.427578
| 6.219669
| 6.238842
| 6.248538
| 6.79755
|
hep-th/0511115
|
Roman Buniy
|
Roman V. Buniy, Arjun Berera and Thomas W. Kephart
|
Asymmetric inflation: exact solutions
|
42 pages, 24 figures, 3 tables
|
Phys.Rev. D73 (2006) 063529
|
10.1103/PhysRevD.73.063529
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We provide exact solutions to the Einstein equations when the Universe
contains vacuum energy plus a uniform arrangements of magnetic fields, strings,
or domain walls. Such a universe has planar symmetry, i. e., it is homogeneous
but, not isotropic. Further exact solutions are obtained when dust is included
and approximate solutions are found for $w\not=0$ matter. These cosmologies
also have planar symmetry. These results may eventually be used to explain some
features in the WMAP data. The magnetic field case is the easiest to motivate
and has the highest possibility of yielding reliable constraints on
observational cosmology.
|
[
{
"created": "Wed, 9 Nov 2005 21:05:13 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Buniy",
"Roman V.",
""
],
[
"Berera",
"Arjun",
""
],
[
"Kephart",
"Thomas W.",
""
]
] |
We provide exact solutions to the Einstein equations when the Universe contains vacuum energy plus a uniform arrangements of magnetic fields, strings, or domain walls. Such a universe has planar symmetry, i. e., it is homogeneous but, not isotropic. Further exact solutions are obtained when dust is included and approximate solutions are found for $w\not=0$ matter. These cosmologies also have planar symmetry. These results may eventually be used to explain some features in the WMAP data. The magnetic field case is the easiest to motivate and has the highest possibility of yielding reliable constraints on observational cosmology.
| 17.634947
| 19.730202
| 16.226072
| 17.210279
| 19.13595
| 17.848808
| 19.182581
| 15.94882
| 18.080862
| 18.503025
| 17.760012
| 18.716619
| 16.613304
| 16.183798
| 16.984962
| 17.106438
| 17.704281
| 17.10236
| 17.189161
| 16.887064
| 16.685549
|
1802.10441
|
Ricardo Schiappa
|
In\^es Aniceto, G\"ok\c{c}e Ba\c{s}ar, Ricardo Schiappa
|
A Primer on Resurgent Transseries and Their Asymptotics
|
192 pages, 76 plots in 41 figures, jheppub-nosort.sty; v2: small
changes, corrections & typos, added refs
| null |
10.1016/j.physrep.2019.02.003
|
NSF-ITP-17-153
|
hep-th hep-lat hep-ph math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The computation of observables in general interacting theories, be them
quantum mechanical, field, gauge or string theories, is a non-trivial problem
which in many cases can only be addressed by resorting to perturbative methods.
In most physically interesting problems these perturbative expansions result in
asymptotic series with zero radius of convergence. These asymptotic series then
require the use of resurgence and transseries in order for the associated
observables to become nonperturbatively well-defined. Resurgence encodes the
complete large-order asymptotic behaviour of the coefficients from a
perturbative expansion, generically in terms of (multi) instanton sectors and
for each problem in terms of its Stokes constants. Some observables arise from
linear problems, and have a finite number of instanton sectors and associated
Stokes constants; some other observables arise from nonlinear problems, and
have an infinite number of instanton sectors and Stokes constants. By means of
two very explicit examples, and with emphasis on a pedagogical style of
presentation, this work aims at serving as a primer on the aforementioned
resurgent, large-order asymptotics of general perturbative expansions. This
includes discussions of transseries, Stokes phenomena, generalized
steepest-descent methods, Borel transforms, nonlinear resonance, and alien
calculus. Furthermore, resurgent properties of transseries---usually described
mathematically via alien calculus---are recast in equivalent physical
languages: either a "statistical mechanical" language, as motions in chains and
lattices; or a "conformal field theoretical" language, with underlying
Virasoro-like algebraic structures.
|
[
{
"created": "Wed, 28 Feb 2018 14:47:51 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jan 2019 10:14:40 GMT",
"version": "v2"
}
] |
2021-01-13
|
[
[
"Aniceto",
"Inês",
""
],
[
"Başar",
"Gökçe",
""
],
[
"Schiappa",
"Ricardo",
""
]
] |
The computation of observables in general interacting theories, be them quantum mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can only be addressed by resorting to perturbative methods. In most physically interesting problems these perturbative expansions result in asymptotic series with zero radius of convergence. These asymptotic series then require the use of resurgence and transseries in order for the associated observables to become nonperturbatively well-defined. Resurgence encodes the complete large-order asymptotic behaviour of the coefficients from a perturbative expansion, generically in terms of (multi) instanton sectors and for each problem in terms of its Stokes constants. Some observables arise from linear problems, and have a finite number of instanton sectors and associated Stokes constants; some other observables arise from nonlinear problems, and have an infinite number of instanton sectors and Stokes constants. By means of two very explicit examples, and with emphasis on a pedagogical style of presentation, this work aims at serving as a primer on the aforementioned resurgent, large-order asymptotics of general perturbative expansions. This includes discussions of transseries, Stokes phenomena, generalized steepest-descent methods, Borel transforms, nonlinear resonance, and alien calculus. Furthermore, resurgent properties of transseries---usually described mathematically via alien calculus---are recast in equivalent physical languages: either a "statistical mechanical" language, as motions in chains and lattices; or a "conformal field theoretical" language, with underlying Virasoro-like algebraic structures.
| 9.139093
| 9.298577
| 10.210443
| 9.331952
| 10.38183
| 10.25795
| 9.85242
| 9.660398
| 9.202441
| 10.761628
| 9.333877
| 8.92423
| 9.055506
| 9.097588
| 9.275928
| 8.901597
| 9.39785
| 9.096557
| 8.982202
| 9.660406
| 9.15536
|
hep-th/0302168
|
David Dudal
|
D. Dudal, H. Verschelde, V. E. R. Lemes, M. S. Sarandy, S. P. Sorella,
M. Picariello
|
Gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge
|
17 pages
|
Annals Phys. 308 (2003) 62-77
|
10.1016/S0003-4916(03)00131-3
| null |
hep-th
| null |
The effective potential for an on-shell BRST invariant gluon-ghost condensate
of mass dimension 2 in the Curci-Ferrari gauge in SU(N) Yang-Mills is analysed
by combining the local composite operator technique with the algebraic
renormalization. We pay attention to the gauge parameter independence of the
vacuum energy obtained in the considered framework and discuss the Landau gauge
as an interesting special case.
|
[
{
"created": "Thu, 20 Feb 2003 14:00:56 GMT",
"version": "v1"
}
] |
2007-06-22
|
[
[
"Dudal",
"D.",
""
],
[
"Verschelde",
"H.",
""
],
[
"Lemes",
"V. E. R.",
""
],
[
"Sarandy",
"M. S.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Picariello",
"M.",
""
]
] |
The effective potential for an on-shell BRST invariant gluon-ghost condensate of mass dimension 2 in the Curci-Ferrari gauge in SU(N) Yang-Mills is analysed by combining the local composite operator technique with the algebraic renormalization. We pay attention to the gauge parameter independence of the vacuum energy obtained in the considered framework and discuss the Landau gauge as an interesting special case.
| 9.868445
| 6.805438
| 10.65155
| 7.93619
| 7.665652
| 7.819847
| 8.116985
| 7.787941
| 7.643697
| 11.66486
| 8.431931
| 8.91326
| 9.328613
| 9.413729
| 8.907225
| 9.02562
| 9.149533
| 9.054912
| 9.312403
| 9.3816
| 9.233397
|
1412.5281
|
Hiroshi Kunitomo
|
Hiroshi Kunitomo
|
Symmetries and Feynman Rules for Ramond Sector in Open Superstring Field
Theory
|
30 pages, 13 figures; v2 a small explanation is added; v3 minor
corrections
| null |
10.1093/ptep/ptv027
|
YITP-14-106
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We examine the symmetries of the action suppelemented by the constraint in
the WZW-type open superstring field theory. It is found that this pseudo-action
has additional symmetries provided we impose the constraint after the
transformation. Respecting these additional symmetries, we propose a
prescription for the new Feynman rules for the Ramond sector. It is shown that
the new rules reproduce the well-known on-shell four- and five-point amplitudes
with external fermions.
|
[
{
"created": "Wed, 17 Dec 2014 08:19:44 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Feb 2015 03:01:04 GMT",
"version": "v2"
},
{
"created": "Wed, 25 Feb 2015 09:42:57 GMT",
"version": "v3"
}
] |
2016-06-21
|
[
[
"Kunitomo",
"Hiroshi",
""
]
] |
We examine the symmetries of the action suppelemented by the constraint in the WZW-type open superstring field theory. It is found that this pseudo-action has additional symmetries provided we impose the constraint after the transformation. Respecting these additional symmetries, we propose a prescription for the new Feynman rules for the Ramond sector. It is shown that the new rules reproduce the well-known on-shell four- and five-point amplitudes with external fermions.
| 11.648974
| 9.674251
| 11.448818
| 9.269283
| 10.725731
| 10.178998
| 9.825331
| 10.223885
| 10.044081
| 12.018681
| 10.488579
| 10.469563
| 11.146191
| 10.218784
| 10.465322
| 10.223562
| 10.85812
| 10.219736
| 10.269698
| 11.128083
| 10.661918
|
2010.02061
|
Konstantinos Koutrolikos
|
I. L. Buchbinder, S. James Gates Jr., K. Koutrolikos
|
Hierarchy of Supersymmetric Higher Spin Connections
| null |
Phys. Rev. D 102, 125018 (2020)
|
10.1103/PhysRevD.102.125018
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We focus on the geometrical reformulation of free higher spin supermultiplets
in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de
Wit-Freedman like hierarchy of superconnections with simple gauge
transformations. The requirement for sensible free equations of motion imposes
constraints on the gauge parameter superfields. Unlike the nonsupersymmetric
case, we find several different constraints that can decouple the higher
superconnections. By lifting these constraints nongeometrically via
compensators we recover all known descriptions of arbitrary integer and
half-integer gauge supermultiplets. In the constrained formulation we find a
new description of half-integer supermultiplets, generalizing the new-minimal
and virial formulations of linearized supergravity to higher spins. However
this description can be formulated using compensators. The various descriptions
can be labeled as geometrical or nongeometrical if the equations of motion can
be expressed purely in terms of superconnections or not.
|
[
{
"created": "Mon, 5 Oct 2020 14:50:55 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 2020 17:33:31 GMT",
"version": "v2"
}
] |
2021-01-04
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Gates",
"S. James",
"Jr."
],
[
"Koutrolikos",
"K.",
""
]
] |
We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The requirement for sensible free equations of motion imposes constraints on the gauge parameter superfields. Unlike the nonsupersymmetric case, we find several different constraints that can decouple the higher superconnections. By lifting these constraints nongeometrically via compensators we recover all known descriptions of arbitrary integer and half-integer gauge supermultiplets. In the constrained formulation we find a new description of half-integer supermultiplets, generalizing the new-minimal and virial formulations of linearized supergravity to higher spins. However this description can be formulated using compensators. The various descriptions can be labeled as geometrical or nongeometrical if the equations of motion can be expressed purely in terms of superconnections or not.
| 14.03412
| 12.649536
| 15.357993
| 12.289843
| 13.894365
| 12.387465
| 14.073762
| 12.876048
| 11.829003
| 17.964241
| 11.808539
| 13.227082
| 13.110024
| 13.084992
| 13.192742
| 12.732168
| 12.893937
| 12.977062
| 12.977755
| 13.626516
| 12.764083
|
1107.3023
|
Yu-Xiao Liu
|
Shao-Wen Wei, Yu-Xiao Liu
|
Equatorial and quasi-equatorial gravitational lensing by Kerr black hole
pierced by a cosmic string
|
29 pages, 9 figures
|
Phys. Rev. D85 (2012) 064044
|
10.1103/PhysRevD.85.064044
|
USTC-ICTS-11-09
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the present paper, we study numerically the equatorial lensing and
quasiequatorial lensing by Kerr black hole pierced by a cosmic string in the
strong deflection limit. We calculate the strong deflection limit coefficients
and the deflection angle, which are found to depend closely on the cosmic
string parameter $\beta$ and dimensionless spin $a_{*}$. The magnification and
positions of relativistic images are also computed in the strong deflection
limit and a two-dimensional lens equation is derived. The most important and
outstanding effect is that the caustics drift away from the optical axis and
shift in the clockwise direction with respect to the Kerr black hole. For fixed
$a_{*}$ of the black hole, the caustics drift farther away from the optical
axis for a large value of $\beta$. And for fixed $\beta$, they drift farther
for high $a_{*}$. We also obtain the intersections of the critical curves with
the equatorial plane, which decrease with $a_{*}$ and $\beta$. In particular,
we obtain a quantity $\bar{\mu}_{k+1}/\bar{\mu}_{k}$, which is independent of
the black hole spin and mass. Thus, through measuring it, one is allowed to
determine the value of $\beta$ from astronomical observations.
|
[
{
"created": "Fri, 15 Jul 2011 09:40:46 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Feb 2012 16:04:55 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Apr 2012 01:54:39 GMT",
"version": "v3"
}
] |
2012-04-06
|
[
[
"Wei",
"Shao-Wen",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] |
In the present paper, we study numerically the equatorial lensing and quasiequatorial lensing by Kerr black hole pierced by a cosmic string in the strong deflection limit. We calculate the strong deflection limit coefficients and the deflection angle, which are found to depend closely on the cosmic string parameter $\beta$ and dimensionless spin $a_{*}$. The magnification and positions of relativistic images are also computed in the strong deflection limit and a two-dimensional lens equation is derived. The most important and outstanding effect is that the caustics drift away from the optical axis and shift in the clockwise direction with respect to the Kerr black hole. For fixed $a_{*}$ of the black hole, the caustics drift farther away from the optical axis for a large value of $\beta$. And for fixed $\beta$, they drift farther for high $a_{*}$. We also obtain the intersections of the critical curves with the equatorial plane, which decrease with $a_{*}$ and $\beta$. In particular, we obtain a quantity $\bar{\mu}_{k+1}/\bar{\mu}_{k}$, which is independent of the black hole spin and mass. Thus, through measuring it, one is allowed to determine the value of $\beta$ from astronomical observations.
| 6.144831
| 7.227664
| 5.493187
| 5.579811
| 6.210398
| 6.014891
| 7.5404
| 5.867561
| 6.604963
| 6.111105
| 6.646267
| 6.194741
| 5.726063
| 5.858509
| 5.77655
| 5.829726
| 6.283014
| 5.856588
| 6.155271
| 5.83812
| 6.14025
|
1202.1227
|
Giampiero Esposito Dr.
|
Giampiero Esposito, Guglielmo Fucci, Alexander Yu. Kamenshchik, Klaus
Kirsten
|
Spectral methods in quantum field theory and quantum cosmology
|
40 pages, Latex, submitted to the Stuart Dowker special issue of J.
Phys. A
| null |
10.1088/1751-8113/45/37/374004
|
DSF preprint 2012/2
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review the application of the spectral zeta-function to the 1- loop
properties of quantum field theories on manifolds with boundary, with emphasis
on Euclidean quantum gravity and quantum cosmology. As was shown in the
literature some time ago, the only boundary conditions that are completely
invariant under infinitesimal diffeomorphisms on metric perturbations suffer
from a drawback, i.e. lack of strong ellipticity of the resulting
boundary-value problem. Nevertheless, at least on the Euclidean 4-ball
background, it remains possible to evaluate the zeta(0) value, which describes
in this case a universe which, in the limit of small 3-geometry, has vanishing
probability of approaching the cosmological singularity. An assessment of this
result is here performed, discussing its physical and mathematical
implications.
|
[
{
"created": "Mon, 6 Feb 2012 18:01:04 GMT",
"version": "v1"
}
] |
2015-06-04
|
[
[
"Esposito",
"Giampiero",
""
],
[
"Fucci",
"Guglielmo",
""
],
[
"Kamenshchik",
"Alexander Yu.",
""
],
[
"Kirsten",
"Klaus",
""
]
] |
We review the application of the spectral zeta-function to the 1- loop properties of quantum field theories on manifolds with boundary, with emphasis on Euclidean quantum gravity and quantum cosmology. As was shown in the literature some time ago, the only boundary conditions that are completely invariant under infinitesimal diffeomorphisms on metric perturbations suffer from a drawback, i.e. lack of strong ellipticity of the resulting boundary-value problem. Nevertheless, at least on the Euclidean 4-ball background, it remains possible to evaluate the zeta(0) value, which describes in this case a universe which, in the limit of small 3-geometry, has vanishing probability of approaching the cosmological singularity. An assessment of this result is here performed, discussing its physical and mathematical implications.
| 12.899376
| 10.523655
| 11.623296
| 10.249819
| 10.642192
| 11.019909
| 12.210337
| 9.999423
| 10.398954
| 13.4988
| 10.563169
| 11.546654
| 12.045316
| 11.605968
| 11.70097
| 11.258792
| 11.395543
| 11.59396
| 11.409876
| 11.864842
| 11.435568
|
hep-th/0002245
|
Glenn Barnich
|
Glenn Barnich, Friedemann Brandt and Marc Henneaux
|
Local BRST cohomology in gauge theories
|
150 pages Latex file, minimal corrections, final version
|
Phys.Rept.338:439-569,2000
|
10.1016/S0370-1573(00)00049-1
|
ITP-UH-03/00, ULB-TH-00/05
|
hep-th hep-ph
| null |
The general solution of the anomaly consistency condition (Wess-Zumino
equation) has been found recently for Yang-Mills gauge theory. The general form
of the counterterms arising in the renormalization of gauge invariant operators
(Kluberg-Stern and Zuber conjecture) and in gauge theories of the Yang-Mills
type with non power counting renormalizable couplings has also been worked out
in any number of spacetime dimensions. This Physics Report is devoted to
reviewing in a self-contained manner these results and their proofs. This
involves computing cohomology groups of the differential introduced by Becchi,
Rouet, Stora and Tyutin, with the sources of the BRST variations of the fields
("antifields") included in the problem. Applications of this computation to
other physical questions (classical deformations of the action, conservation
laws) are also considered. The general algebraic techniques developed in the
Report can be applied to other gauge theories, for which relevant references
are given.
|
[
{
"created": "Tue, 29 Feb 2000 01:46:50 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2000 15:04:13 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Nov 2000 18:56:02 GMT",
"version": "v3"
}
] |
2010-11-15
|
[
[
"Barnich",
"Glenn",
""
],
[
"Brandt",
"Friedemann",
""
],
[
"Henneaux",
"Marc",
""
]
] |
The general solution of the anomaly consistency condition (Wess-Zumino equation) has been found recently for Yang-Mills gauge theory. The general form of the counterterms arising in the renormalization of gauge invariant operators (Kluberg-Stern and Zuber conjecture) and in gauge theories of the Yang-Mills type with non power counting renormalizable couplings has also been worked out in any number of spacetime dimensions. This Physics Report is devoted to reviewing in a self-contained manner these results and their proofs. This involves computing cohomology groups of the differential introduced by Becchi, Rouet, Stora and Tyutin, with the sources of the BRST variations of the fields ("antifields") included in the problem. Applications of this computation to other physical questions (classical deformations of the action, conservation laws) are also considered. The general algebraic techniques developed in the Report can be applied to other gauge theories, for which relevant references are given.
| 9.006796
| 10.366139
| 10.461897
| 10.025654
| 10.42392
| 9.971271
| 10.515759
| 10.143219
| 9.623819
| 12.564285
| 9.345171
| 9.436254
| 9.555635
| 9.183233
| 9.292455
| 9.074172
| 9.009728
| 9.24966
| 9.220287
| 9.566041
| 9.259176
|
2002.12084
|
Ugo Moschella
|
Henri Epstein and Ugo Moschella
|
QFT and topology in two dimensions: $SL(2,{\Bbb R})$-symmetry and the de
Sitter universe
|
43 pages, 1 figure
| null |
10.1007/s00023-021-01030-7
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study bosonic Quantum Field Theory on the double covering
$\widetilde{dS}_{2}$ of the 2-dimensional de Sitter universe, identified to a
coset space of the group $SL(2,{\Bbb R})$. The latter acts effectively on
$\widetilde{dS}_{2}$ and can be interpreted as it relativity group. The
manifold is locally identical to the standard the Sitter spacetime ${dS}_2$; it
is globally hyperbolic, geodesically complete and an inertial observer sees
exactly the same bifurcate Killing horizons as in the standard one-sheeted
case. The different global Lorentzian structure causes however drastic
differences between the two models. We classify all the $SL(2,{\Bbb
R})$-inveriant two-point functions and show that: 1) there is no
Hawking-Gibbons temperature; 2) there is no covariant field theory solving the
Klein-Gordon equation with mass less than $1/2R$ , i.e. the complementary
fields go away.
|
[
{
"created": "Thu, 27 Feb 2020 13:32:19 GMT",
"version": "v1"
}
] |
2021-09-01
|
[
[
"Epstein",
"Henri",
""
],
[
"Moschella",
"Ugo",
""
]
] |
We study bosonic Quantum Field Theory on the double covering $\widetilde{dS}_{2}$ of the 2-dimensional de Sitter universe, identified to a coset space of the group $SL(2,{\Bbb R})$. The latter acts effectively on $\widetilde{dS}_{2}$ and can be interpreted as it relativity group. The manifold is locally identical to the standard the Sitter spacetime ${dS}_2$; it is globally hyperbolic, geodesically complete and an inertial observer sees exactly the same bifurcate Killing horizons as in the standard one-sheeted case. The different global Lorentzian structure causes however drastic differences between the two models. We classify all the $SL(2,{\Bbb R})$-inveriant two-point functions and show that: 1) there is no Hawking-Gibbons temperature; 2) there is no covariant field theory solving the Klein-Gordon equation with mass less than $1/2R$ , i.e. the complementary fields go away.
| 9.017239
| 9.416672
| 9.356971
| 9.713713
| 10.460417
| 9.240779
| 9.324549
| 9.796436
| 9.321139
| 10.554538
| 9.357835
| 8.882314
| 9.26123
| 9.068715
| 9.023704
| 8.8225
| 9.082848
| 9.002582
| 8.984507
| 9.347376
| 9.017368
|
0707.3755
|
Klaus Kirsten
|
Klaus Kirsten and Paul Loya
|
Computation of determinants using contour integrals
|
15 pages, to appear in American Journal of Physics
|
Am.J.Phys.76:60-64,2008
|
10.1119/1.2794348
| null |
hep-th
| null |
It is shown how the pre-exponential factor of the Feynman propagator for a
large class of potentials can be computed using contour integrals. This is of
direct relevance in the context of tunnelling processes in quantum theories.
The prerequisites for this analysis are accessible to advanced undergraduate
students and involve only introductory courses in ordinary differential
equations and complex variables.
|
[
{
"created": "Wed, 25 Jul 2007 14:34:18 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Kirsten",
"Klaus",
""
],
[
"Loya",
"Paul",
""
]
] |
It is shown how the pre-exponential factor of the Feynman propagator for a large class of potentials can be computed using contour integrals. This is of direct relevance in the context of tunnelling processes in quantum theories. The prerequisites for this analysis are accessible to advanced undergraduate students and involve only introductory courses in ordinary differential equations and complex variables.
| 11.499846
| 11.629379
| 9.641754
| 10.035834
| 10.723512
| 11.829747
| 10.232527
| 11.271068
| 11.272219
| 10.09916
| 11.049232
| 11.087779
| 10.492375
| 10.509491
| 11.030115
| 11.493768
| 10.975797
| 10.73724
| 10.352669
| 10.350639
| 10.63876
|
hep-th/9702109
|
David Kastor
|
Fay Dowker, David Kastor and Jennie Traschen
|
U-Duality, D-Branes and Black Hole Emission Rates: Agreements and
Disagreements
|
30 pages, harvmac; Clarification is added on the size of disagreement
claimed; Remarks are added on treating the limit in which two charges are
small
|
Phys. Rev. D 58, 124025 (1998)
|
10.1103/PhysRevD.58.124025
|
UMHEP-437, Imperial/TP/96-97/24
|
hep-th
| null |
An expression for the spacetime absorption coefficient of a scalar field in a
five dimensional, near extremal black hole background is derived, which has the
same form as that presented by Maldacena and Strominger, but is valid over a
larger, U-duality invariant region of parameter space and in general disagrees
with the corresponding D-brane result. We develop an argument, based on D-brane
thermodynamics, which specifies the range of parameters over which agreement
should be expected. For neutral emission, the spacetime and D-brane results
agree over this range. However, for charged emission, we find disagreement in
the `Fat Black Hole' regime, in which charge is quantized in smaller units on
the brane, than in the bulk of spacetime. We indicate a possible problem with
the D-brane model in this regime. We also use the Born approximation to study
the high frequency limit of the absorption coefficient and find that it
approaches unity, for large black hole backgrounds, at frequencies still below
the string scale, again in disagreement with D-brane results.
|
[
{
"created": "Thu, 13 Feb 1997 21:42:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Mar 1997 02:53:26 GMT",
"version": "v2"
}
] |
2016-08-25
|
[
[
"Dowker",
"Fay",
""
],
[
"Kastor",
"David",
""
],
[
"Traschen",
"Jennie",
""
]
] |
An expression for the spacetime absorption coefficient of a scalar field in a five dimensional, near extremal black hole background is derived, which has the same form as that presented by Maldacena and Strominger, but is valid over a larger, U-duality invariant region of parameter space and in general disagrees with the corresponding D-brane result. We develop an argument, based on D-brane thermodynamics, which specifies the range of parameters over which agreement should be expected. For neutral emission, the spacetime and D-brane results agree over this range. However, for charged emission, we find disagreement in the `Fat Black Hole' regime, in which charge is quantized in smaller units on the brane, than in the bulk of spacetime. We indicate a possible problem with the D-brane model in this regime. We also use the Born approximation to study the high frequency limit of the absorption coefficient and find that it approaches unity, for large black hole backgrounds, at frequencies still below the string scale, again in disagreement with D-brane results.
| 8.997701
| 8.623055
| 9.79398
| 8.848309
| 9.221601
| 9.216114
| 8.748958
| 9.179936
| 8.665207
| 9.703824
| 8.558637
| 8.264693
| 8.762445
| 8.448194
| 8.740169
| 8.622913
| 8.664542
| 8.262721
| 8.686665
| 9.248919
| 8.66155
|
1903.05476
|
Jie Jiang
|
Jie Jiang, Xiao-Wei Li
|
Modified "complexity equals action" conjecture
|
arXiv admin note: text overlap with arXiv:1811.07347
|
Phys. Rev. D 100, 066026 (2019)
|
10.1103/PhysRevD.100.066026
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we first use the "complexity equals action" conjecture to
discuss the complexity growth rate in both perturbation Einsteinian cubic
gravity and non-perturbation Einstein-Weyl gravity. We find that the CA
complexity rate in these cases is divergent. To avoid this divergence, we
modify the original conjecture, where we assume that the complexity of the
boundary state equals the boundary actions contributed by the null segments as
well as the joints of the Wheeler-DeWitt patch. Then, the late time growth rate
of this modified holographic complexity is given by entropy $S$ times
temperature $T$, which is quite in agreement with the circuit analysis.
Finally, to test its rationality, we also investigate the switchback effect by
evaluating it in a Vaidya geometry and analyze the results in circuit models.
|
[
{
"created": "Tue, 12 Mar 2019 17:01:46 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Jiang",
"Jie",
""
],
[
"Li",
"Xiao-Wei",
""
]
] |
In this paper, we first use the "complexity equals action" conjecture to discuss the complexity growth rate in both perturbation Einsteinian cubic gravity and non-perturbation Einstein-Weyl gravity. We find that the CA complexity rate in these cases is divergent. To avoid this divergence, we modify the original conjecture, where we assume that the complexity of the boundary state equals the boundary actions contributed by the null segments as well as the joints of the Wheeler-DeWitt patch. Then, the late time growth rate of this modified holographic complexity is given by entropy $S$ times temperature $T$, which is quite in agreement with the circuit analysis. Finally, to test its rationality, we also investigate the switchback effect by evaluating it in a Vaidya geometry and analyze the results in circuit models.
| 16.183069
| 10.270475
| 13.928504
| 11.312509
| 12.419808
| 10.345392
| 10.733805
| 10.459354
| 10.700437
| 15.645011
| 11.153631
| 11.734518
| 12.247519
| 11.315272
| 11.344316
| 11.572414
| 11.667987
| 11.715499
| 11.854113
| 12.934577
| 11.481174
|
hep-th/9505046
|
Keith Dienes
|
Keith R. Dienes and Alon E. Faraggi (IAS, Princeton)
|
Gauge Coupling Unification in Realistic Free-Fermionic String Models
|
81 pages, standard LaTeX, 7 figures (Encapsulated PostScript),
expanded published version
|
Nucl.Phys. B457 (1995) 409-483
|
10.1016/0550-3213(95)00497-1
|
IASSNS-HEP-94/113 (May 1995)
|
hep-th hep-ph
| null |
We discuss the unification of gauge couplings within the framework of a wide
class of realistic free-fermionic string models which have appeared in the
literature, including the flipped SU(5), SO(6)xSO(4), and various
SU(3)xSU(2)xU(1) models. If the matter spectrum below the string scale is that
of the Minimal Supersymmetric Standard Model (MSSM), then string unification is
in disagreement with experiment. We therefore examine several effects that may
modify the minimal string predictions. First, we develop a systematic procedure
for evaluating the one-loop heavy string threshold corrections in
free-fermionic string models, and we explicitly evaluate these corrections for
each of the realistic models. We find that these string threshold corrections
are small, and we provide general arguments explaining why such threshold
corrections are suppressed in string theory. Thus heavy thresholds cannot
resolve the disagreement with experiment. We also study the effect of
non-standard hypercharge normalizations, light SUSY thresholds, and
intermediate-scale gauge structure, and similarly conclude that these effects
cannot resolve the disagreement with low-energy data. Finally, we examine the
effects of additional color triplets and electroweak doublets beyond the MSSM.
Although not required in ordinary grand unification scenarios, such states
generically appear within the context of certain realistic free-fermionic
string models. We show that if these states exist at the appropriate
thresholds, then the gauge couplings will indeed unify at the string scale.
Thus, within these string models, string unification can be in agreement with
low-energy data.
|
[
{
"created": "Tue, 9 May 1995 06:12:36 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 1995 19:43:53 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Dienes",
"Keith R.",
"",
"IAS, Princeton"
],
[
"Faraggi",
"Alon E.",
"",
"IAS, Princeton"
]
] |
We discuss the unification of gauge couplings within the framework of a wide class of realistic free-fermionic string models which have appeared in the literature, including the flipped SU(5), SO(6)xSO(4), and various SU(3)xSU(2)xU(1) models. If the matter spectrum below the string scale is that of the Minimal Supersymmetric Standard Model (MSSM), then string unification is in disagreement with experiment. We therefore examine several effects that may modify the minimal string predictions. First, we develop a systematic procedure for evaluating the one-loop heavy string threshold corrections in free-fermionic string models, and we explicitly evaluate these corrections for each of the realistic models. We find that these string threshold corrections are small, and we provide general arguments explaining why such threshold corrections are suppressed in string theory. Thus heavy thresholds cannot resolve the disagreement with experiment. We also study the effect of non-standard hypercharge normalizations, light SUSY thresholds, and intermediate-scale gauge structure, and similarly conclude that these effects cannot resolve the disagreement with low-energy data. Finally, we examine the effects of additional color triplets and electroweak doublets beyond the MSSM. Although not required in ordinary grand unification scenarios, such states generically appear within the context of certain realistic free-fermionic string models. We show that if these states exist at the appropriate thresholds, then the gauge couplings will indeed unify at the string scale. Thus, within these string models, string unification can be in agreement with low-energy data.
| 5.787828
| 6.164424
| 5.926792
| 5.888816
| 6.063678
| 6.34585
| 6.279794
| 6.08716
| 5.709276
| 6.304062
| 6.026455
| 5.868481
| 5.761435
| 5.732821
| 5.715757
| 5.862181
| 5.783345
| 5.780786
| 5.648619
| 5.87119
| 5.901673
|
1011.1324
|
Jeong-Hyuck Park
|
Imtak Jeon, Kanghoon Lee and Jeong-Hyuck Park
|
Differential geometry with a projection: Application to double field
theory
|
1+22 pages, No figure; a previous result on 4-index tensor removed,
presentation improved
|
JHEP 1104:014,2011
|
10.1007/JHEP04(2011)014
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In recent development of double field theory, as for the description of the
massless sector of closed strings, the spacetime dimension is formally doubled,
i.e. from D to D+D, and the T-duality is realized manifestly as a global O(D,D)
rotation. In this paper, we conceive a differential geometry characterized by a
O(D,D) symmetric projection, as the underlying mathematical structure of double
field theory. We introduce a differential operator compatible with the
projection, which, contracted with the projection, can be covariantized and may
replace the ordinary derivatives in the generalized Lie derivative that
generates the gauge symmetry of double field theory. We construct various gauge
covariant tensors which include a scalar and a tensor carrying two O(D,D)
vector indices.
|
[
{
"created": "Fri, 5 Nov 2010 05:57:52 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2011 00:39:47 GMT",
"version": "v2"
}
] |
2011-04-08
|
[
[
"Jeon",
"Imtak",
""
],
[
"Lee",
"Kanghoon",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] |
In recent development of double field theory, as for the description of the massless sector of closed strings, the spacetime dimension is formally doubled, i.e. from D to D+D, and the T-duality is realized manifestly as a global O(D,D) rotation. In this paper, we conceive a differential geometry characterized by a O(D,D) symmetric projection, as the underlying mathematical structure of double field theory. We introduce a differential operator compatible with the projection, which, contracted with the projection, can be covariantized and may replace the ordinary derivatives in the generalized Lie derivative that generates the gauge symmetry of double field theory. We construct various gauge covariant tensors which include a scalar and a tensor carrying two O(D,D) vector indices.
| 10.553716
| 9.463705
| 11.480074
| 9.401666
| 9.738502
| 9.950275
| 10.225393
| 9.478473
| 9.820607
| 11.980475
| 9.774002
| 9.164516
| 10.272505
| 9.537002
| 9.544452
| 9.46509
| 9.600915
| 9.177788
| 9.913404
| 10.426043
| 9.572165
|
0807.4578
|
Archil Kobakhidze
|
Archil Kobakhidze
|
Domain walls and gauge field localization in strongly-coupled pure
Yang-Mills theories
|
9 pages, 3 figures, v2: minor corrections, references added; to be
published in IJTP
|
Int.J.Theor.Phys.50:1335-1341,2011
|
10.1007/s10773-010-0640-7
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a mechanism of gauge field localization on a domain wall within
the framework of strongly coupled pure Yang-Mills theory.
|
[
{
"created": "Tue, 29 Jul 2008 05:49:25 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Dec 2010 06:11:49 GMT",
"version": "v2"
}
] |
2011-04-04
|
[
[
"Kobakhidze",
"Archil",
""
]
] |
We present a mechanism of gauge field localization on a domain wall within the framework of strongly coupled pure Yang-Mills theory.
| 15.665144
| 8.613852
| 10.762026
| 10.925098
| 9.708225
| 9.974436
| 9.469505
| 10.377309
| 9.420116
| 10.428697
| 9.467424
| 11.547314
| 12.107697
| 11.236295
| 11.473967
| 11.523533
| 10.536097
| 11.798876
| 11.205112
| 12.035487
| 10.449788
|
2001.01832
|
Masud Chaichian
|
M. Chaichian, M. N. Mnatsakanova, Yu. S. Vernov
|
Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory.
II
|
20 pages. arXiv admin note: substantial text overlap with
arXiv:hep-th/0612112, arXiv:hep-th/0611097
|
Nucl. Phys. B 950, 114846 (2020)
|
10.1016/j.nuclphysb.2019.114846
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical results of the axiomatic quantum field theory, namely the
irreducibility of the set of field operators, Reeh and Schlieder's theorems and
generalized Haag's theorem, are proven in $SO(1,1)$ invariant quantum field
theory, of which an important example is noncommutative quantum field theory.
New consequences of generalized Haag's theorem are obtained in $SO(1,3)$
invariant theories. It has been proven that the equality of four-point Wightman
functions in two theories leads to the equality of elastic scattering
amplitudes and thus the total cross-sections in these theories.
|
[
{
"created": "Sat, 14 Dec 2019 13:45:35 GMT",
"version": "v1"
}
] |
2020-01-08
|
[
[
"Chaichian",
"M.",
""
],
[
"Mnatsakanova",
"M. N.",
""
],
[
"Vernov",
"Yu. S.",
""
]
] |
Classical results of the axiomatic quantum field theory, namely the irreducibility of the set of field operators, Reeh and Schlieder's theorems and generalized Haag's theorem, are proven in $SO(1,1)$ invariant quantum field theory, of which an important example is noncommutative quantum field theory. New consequences of generalized Haag's theorem are obtained in $SO(1,3)$ invariant theories. It has been proven that the equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and thus the total cross-sections in these theories.
| 7.676902
| 7.736701
| 7.035025
| 7.335506
| 8.135924
| 7.313364
| 8.232221
| 7.408299
| 7.823806
| 8.003364
| 7.248439
| 7.186282
| 7.707912
| 7.243041
| 7.444235
| 7.162039
| 7.260582
| 6.977948
| 7.27446
| 7.543796
| 7.200566
|
hep-th/9612241
|
Carlos Castro
|
Carlos Castro
|
On the Integrability Aspects of the Self Dual Membrane
|
46 pages, tex file. Extended updated version of hep-th/9605029 and
hep-th/9612160
| null | null | null |
hep-th
| null |
The exact quantum integrability aspects of a sector of the membrane is
investigated. It is found that spherical membranes moving in flat target
spacetime backgrounds admit a class of integrable solutions linked to SU(infty)
SDYM equations (dimensionally reduced to one temporal dimension). After a
suitable ansatz, the SDYM equations can be recast in the form of the continuous
Toda molecule equations whose symmetry algebra is the dimensional reduction of
the W (infty} plus {\bar W}(infty} algebra. The latter algebra is explicitly
constructed. Highest weight representations are built directly from the
infinite number of defining relations among the highest weight states of
W(\infty) algebras and the quantum states of the Toda molecule. Discrete states
are also constructed. The full (dimensionaly reduced) quantum SU(infty) YM
theory remains to be explored.
|
[
{
"created": "Fri, 27 Dec 1996 06:12:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Castro",
"Carlos",
""
]
] |
The exact quantum integrability aspects of a sector of the membrane is investigated. It is found that spherical membranes moving in flat target spacetime backgrounds admit a class of integrable solutions linked to SU(infty) SDYM equations (dimensionally reduced to one temporal dimension). After a suitable ansatz, the SDYM equations can be recast in the form of the continuous Toda molecule equations whose symmetry algebra is the dimensional reduction of the W (infty} plus {\bar W}(infty} algebra. The latter algebra is explicitly constructed. Highest weight representations are built directly from the infinite number of defining relations among the highest weight states of W(\infty) algebras and the quantum states of the Toda molecule. Discrete states are also constructed. The full (dimensionaly reduced) quantum SU(infty) YM theory remains to be explored.
| 18.335657
| 16.4077
| 18.862371
| 16.4056
| 18.904945
| 17.439283
| 18.062883
| 19.019003
| 16.423832
| 20.588116
| 17.018833
| 17.461563
| 18.919033
| 17.542021
| 17.447687
| 17.316814
| 17.346777
| 16.987768
| 17.073259
| 18.469599
| 17.365696
|
hep-th/9202064
| null |
F. A. Schaposnik
|
Anomalies and Deconfinement
|
23 pages
| null | null | null |
hep-th
| null |
I discuss how instanton effects can be wiped-out due to the existence of
anomalies. I first consider Compact Quantum Electrodynamics in 3 dimensions
where confinement of electric charge is destroyed when fermions are added so
that a Chern-Simons term is generated as a one-loop effect. I also show that a
similar phenomenon occurs in the two-dimensional abelian chiral Higgs model. In
both cases anomalies (parity anomaly, gauge anomaly) are responsible of the
deconfinement mechanism.
|
[
{
"created": "Wed, 19 Feb 1992 09:12:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Schaposnik",
"F. A.",
""
]
] |
I discuss how instanton effects can be wiped-out due to the existence of anomalies. I first consider Compact Quantum Electrodynamics in 3 dimensions where confinement of electric charge is destroyed when fermions are added so that a Chern-Simons term is generated as a one-loop effect. I also show that a similar phenomenon occurs in the two-dimensional abelian chiral Higgs model. In both cases anomalies (parity anomaly, gauge anomaly) are responsible of the deconfinement mechanism.
| 12.253042
| 9.973797
| 10.918336
| 10.661622
| 9.660783
| 11.424126
| 11.586384
| 10.77752
| 10.961678
| 11.647704
| 10.43634
| 10.214974
| 11.75055
| 10.732631
| 10.516418
| 9.988924
| 10.206001
| 10.443629
| 10.879699
| 12.101348
| 10.490575
|
2311.02751
|
Wei Li
|
Dmitry Galakhov and Wei Li
|
Charging solid partitions
|
33 pages, 7 figures; v2: references updated, typos fixed, JHEP
version
| null |
10.1007/JHEP01(2024)043
| null |
hep-th math-ph math.CO math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Solid partitions are the 4D generalization of the plane partitions in 3D and
Young diagrams in 2D, and they can be visualized as stacking of 4D unit-size
boxes in the positive corner of a 4D room. Physically, solid partitions arise
naturally as 4D molten crystals that count equivariant D-brane BPS states on
the simplest toric Calabi-Yau fourfold, $\mathbb{C}^4$, generalizing the 3D
statement that plane partitions count equivariant D-brane BPS states on
$\mathbb{C}^3$. In the construction of BPS algebras for toric Calabi-Yau
threefolds, the so-called charge function on the 3D molten crystal is an
important ingredient -- it is the generating function for the eigenvalues of an
infinite tower of Cartan elements of the algebra. In this paper, we derive the
charge function for solid partitions. Compared to the 3D case, the new feature
is the appearance of contributions from certain 4-box and 5-box clusters, which
will make the construction of the corresponding BPS algebra much more
complicated than in the 3D.
|
[
{
"created": "Sun, 5 Nov 2023 20:12:40 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Apr 2024 21:39:55 GMT",
"version": "v2"
}
] |
2024-04-11
|
[
[
"Galakhov",
"Dmitry",
""
],
[
"Li",
"Wei",
""
]
] |
Solid partitions are the 4D generalization of the plane partitions in 3D and Young diagrams in 2D, and they can be visualized as stacking of 4D unit-size boxes in the positive corner of a 4D room. Physically, solid partitions arise naturally as 4D molten crystals that count equivariant D-brane BPS states on the simplest toric Calabi-Yau fourfold, $\mathbb{C}^4$, generalizing the 3D statement that plane partitions count equivariant D-brane BPS states on $\mathbb{C}^3$. In the construction of BPS algebras for toric Calabi-Yau threefolds, the so-called charge function on the 3D molten crystal is an important ingredient -- it is the generating function for the eigenvalues of an infinite tower of Cartan elements of the algebra. In this paper, we derive the charge function for solid partitions. Compared to the 3D case, the new feature is the appearance of contributions from certain 4-box and 5-box clusters, which will make the construction of the corresponding BPS algebra much more complicated than in the 3D.
| 7.2899
| 7.170209
| 7.375282
| 6.363579
| 7.216223
| 6.520245
| 7.321378
| 6.483282
| 6.260163
| 7.60765
| 6.658662
| 6.725367
| 6.793221
| 6.578121
| 6.802395
| 6.423597
| 6.507877
| 6.592959
| 6.485069
| 6.860136
| 6.664124
|
1208.1494
|
Aristomenis Donos
|
Aristomenis Donos and Jerome P. Gauntlett
|
Supersymmetric quantum criticality supported by baryonic charges
|
30 pages, 4 figures, very minor changes, version published in JHEP
| null |
10.1007/JHEP10(2012)120
|
Imperial/TP/2012/JG/04
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of the $AdS_4\times Q^{111}$ solution of D=11 supergravity we
construct supersymmetric zero temperature black brane solutions that
interpolate between $AdS_4$ in the UV and $AdS_2\times \mathbb{R}^2$ in the IR.
The dual N=2 SCFT has a $U(1)^2$ baryonic symmetry and the solutions carry
electric charge with respect to one of the U(1) factors and magnetic charge
with respect to the other. The solutions describe stable zero temperature
ground states of the deformed SCFT which have finite entropy density. We also
construct analogous supersymmetric solutions that flow to $AdS_2\times S^2$ and
to $AdS_2\times H^2/\Gamma$ in the IR which, in addition, carry magnetic
R-symmetry charge similar to other known wrapped brane solutions.
|
[
{
"created": "Tue, 7 Aug 2012 19:18:43 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Oct 2012 10:00:58 GMT",
"version": "v2"
}
] |
2015-06-11
|
[
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
]
] |
In the context of the $AdS_4\times Q^{111}$ solution of D=11 supergravity we construct supersymmetric zero temperature black brane solutions that interpolate between $AdS_4$ in the UV and $AdS_2\times \mathbb{R}^2$ in the IR. The dual N=2 SCFT has a $U(1)^2$ baryonic symmetry and the solutions carry electric charge with respect to one of the U(1) factors and magnetic charge with respect to the other. The solutions describe stable zero temperature ground states of the deformed SCFT which have finite entropy density. We also construct analogous supersymmetric solutions that flow to $AdS_2\times S^2$ and to $AdS_2\times H^2/\Gamma$ in the IR which, in addition, carry magnetic R-symmetry charge similar to other known wrapped brane solutions.
| 5.327479
| 4.472691
| 5.520835
| 4.563595
| 4.628386
| 4.724089
| 4.503476
| 4.44464
| 4.454779
| 6.146395
| 4.415596
| 4.612953
| 5.283896
| 4.670743
| 4.772433
| 4.675797
| 4.760981
| 4.811758
| 4.905529
| 5.331637
| 4.740845
|
0806.4862
|
Reza Moazzemi
|
Reza Moazzemi, Abdollah Mohammadi, Siamak S. Gousheh
|
A Renormalized perturbation theory for problems with nontrivial boundary
conditions or backgrounds in two space-time dimensions
|
7 pages, 2 figures, revtex4, submmited to Eur. Phys. J. C
|
Eur.Phys.J.C56:585-590,2008
|
10.1140/epjc/s10052-008-0680-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss the effects of nontrivial boundary conditions or
backgrounds, including non-perturbative ones, on the renormalization program
for systems in two dimensions. Here we present an alternative renormalization
procedure such that these non-perturbative conditions can be taken into account
in a self-contained and, we believe, self-consistent manner. These conditions
have profound effects on the properties of the system, in particular all of its
$n$-point functions. To be concrete, we investigate these effects in the
$\lambda \phi^4$ model in two dimensions and show that the mass counterterms
turn out to be proportional to the Green's functions which have nontrivial
position dependence in these cases. We then compute the difference between the
mass counterterms in the presence and absence of these conditions. We find that
in the case of nontrivial boundary conditions this difference is minimum
between the boundaries and infinite on them. The minimum approaches zero when
the boundaries go to infinity. In the case of nontrivial backgrounds, we
consider the kink background and show that the difference is again small and
localized around the kink.
|
[
{
"created": "Mon, 30 Jun 2008 11:38:35 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jul 2008 12:20:41 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Moazzemi",
"Reza",
""
],
[
"Mohammadi",
"Abdollah",
""
],
[
"Gousheh",
"Siamak S.",
""
]
] |
In this paper we discuss the effects of nontrivial boundary conditions or backgrounds, including non-perturbative ones, on the renormalization program for systems in two dimensions. Here we present an alternative renormalization procedure such that these non-perturbative conditions can be taken into account in a self-contained and, we believe, self-consistent manner. These conditions have profound effects on the properties of the system, in particular all of its $n$-point functions. To be concrete, we investigate these effects in the $\lambda \phi^4$ model in two dimensions and show that the mass counterterms turn out to be proportional to the Green's functions which have nontrivial position dependence in these cases. We then compute the difference between the mass counterterms in the presence and absence of these conditions. We find that in the case of nontrivial boundary conditions this difference is minimum between the boundaries and infinite on them. The minimum approaches zero when the boundaries go to infinity. In the case of nontrivial backgrounds, we consider the kink background and show that the difference is again small and localized around the kink.
| 8.619896
| 8.708578
| 8.313621
| 8.036832
| 8.038457
| 8.382379
| 8.46644
| 8.024809
| 7.901946
| 8.778621
| 8.188437
| 8.174825
| 8.056984
| 8.121662
| 8.227696
| 8.256101
| 8.153102
| 8.089806
| 8.116447
| 8.413116
| 8.062041
|
2006.08644
|
Tanay Kibe
|
Tanay Kibe, Ayan Mukhopadhyay, Alexander Soloviev and Hareram Swain
|
$SL(2,R)$ lattices as information processors
|
23 pages, 13 figures; conclusions expanded with summary, more
comments and references added
|
Phys. Rev. D 102, 086008 (2020)
|
10.1103/PhysRevD.102.086008
| null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Black holes past their Page times should act as efficient scramblers and
information mirrors. The information of the infalling bits are rapidly encoded
by the old black hole in the Hawking quanta, but it should take time that is
exponential in the Page time entropy to decode the interior. Motivated by the
features of fragmentation instability of near-extremal black holes, we
construct a simple phenomenological model of the black hole as a lattice of
interacting nearly $AdS_2$ throats with gravitational hair charges propagating
over the lattice. We study the microstate solutions and their response to
shocks. The energy of the shocks are almost wholly absorbed by the total ADM
mass of the $AdS_2$ throats, but the information of their locations and
time-ordering come out in the hair oscillations, which decouple from the final
microstate to which the full system quickly relaxes. We discuss the
Hayden-Preskill protocol of decoding infalling information. We also construct
generalizations of our model involving a lattice of $AdS_2$ throats networked
via wormholes and their analogues in the form of tensor networks of SYK
spin-states.
|
[
{
"created": "Mon, 15 Jun 2020 18:00:11 GMT",
"version": "v1"
},
{
"created": "Sun, 27 Sep 2020 05:53:57 GMT",
"version": "v2"
}
] |
2020-10-14
|
[
[
"Kibe",
"Tanay",
""
],
[
"Mukhopadhyay",
"Ayan",
""
],
[
"Soloviev",
"Alexander",
""
],
[
"Swain",
"Hareram",
""
]
] |
Black holes past their Page times should act as efficient scramblers and information mirrors. The information of the infalling bits are rapidly encoded by the old black hole in the Hawking quanta, but it should take time that is exponential in the Page time entropy to decode the interior. Motivated by the features of fragmentation instability of near-extremal black holes, we construct a simple phenomenological model of the black hole as a lattice of interacting nearly $AdS_2$ throats with gravitational hair charges propagating over the lattice. We study the microstate solutions and their response to shocks. The energy of the shocks are almost wholly absorbed by the total ADM mass of the $AdS_2$ throats, but the information of their locations and time-ordering come out in the hair oscillations, which decouple from the final microstate to which the full system quickly relaxes. We discuss the Hayden-Preskill protocol of decoding infalling information. We also construct generalizations of our model involving a lattice of $AdS_2$ throats networked via wormholes and their analogues in the form of tensor networks of SYK spin-states.
| 17.867615
| 18.031292
| 18.606607
| 15.749937
| 17.657383
| 17.434328
| 16.562378
| 16.319971
| 16.043303
| 19.025757
| 16.23875
| 16.468311
| 17.289404
| 16.229412
| 16.164923
| 17.063868
| 15.883066
| 16.21422
| 16.005411
| 16.627316
| 15.844867
|
hep-th/0502055
|
Mizuno Shuntaro
|
Makoto Tanabe and Shuntaro Mizuno
|
BPS pp-wave brane cosmological solutions in string theory
|
10 pages
|
JHEP0505:016,2005
|
10.1088/1126-6708/2005/05/016
|
WU-AP/213/05
|
hep-th astro-ph gr-qc hep-ph
| null |
We construct time dependent BPS pp-wave brane solutions in the context of
M-theory and type II supergravity. It is found that N-brane solutions we
considered satisfy the crossing rule as S-brane solutions but 1/8 supersymmetry
remains. By applying them to the cosmological setting, inflationary solutions
are obtained. During this inflation, the size of the extradimensions becomes
smaller than our four-dimensional spacetime dynamically. We also discuss the
mechanism for terminating this inflation and recovering the hot big-bang
universe.
|
[
{
"created": "Fri, 4 Feb 2005 13:52:56 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Tanabe",
"Makoto",
""
],
[
"Mizuno",
"Shuntaro",
""
]
] |
We construct time dependent BPS pp-wave brane solutions in the context of M-theory and type II supergravity. It is found that N-brane solutions we considered satisfy the crossing rule as S-brane solutions but 1/8 supersymmetry remains. By applying them to the cosmological setting, inflationary solutions are obtained. During this inflation, the size of the extradimensions becomes smaller than our four-dimensional spacetime dynamically. We also discuss the mechanism for terminating this inflation and recovering the hot big-bang universe.
| 16.866804
| 14.469081
| 15.850322
| 14.144365
| 15.992609
| 15.018201
| 15.150254
| 14.27141
| 14.408844
| 19.81897
| 13.953476
| 15.146275
| 16.048107
| 15.830367
| 15.312682
| 15.351981
| 15.633374
| 15.305455
| 15.23492
| 16.178957
| 14.646756
|
1301.7194
|
Samrat Bhowmick
|
Souvik Banerjee, Samrat Bhowmick, Sudipta Mukherji
|
Anisotropic branes
|
13 pages, 4 figures
| null |
10.1016/j.physletb.2013.08.041
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a class of anisotropic brane configurations which shows BKL
oscillations near their cosmological singularities. Near horizon limits of
these solutions represent Kasner space embedded in AdS background. Dynamical
probe branes in these geometries inherit anisotropies from the background.
Amusingly, for a probe M5 brane, we find that there exists a parameter region
where three of its world-volume directions expand while the rest contract.
|
[
{
"created": "Wed, 30 Jan 2013 10:55:36 GMT",
"version": "v1"
}
] |
2015-06-12
|
[
[
"Banerjee",
"Souvik",
""
],
[
"Bhowmick",
"Samrat",
""
],
[
"Mukherji",
"Sudipta",
""
]
] |
We present a class of anisotropic brane configurations which shows BKL oscillations near their cosmological singularities. Near horizon limits of these solutions represent Kasner space embedded in AdS background. Dynamical probe branes in these geometries inherit anisotropies from the background. Amusingly, for a probe M5 brane, we find that there exists a parameter region where three of its world-volume directions expand while the rest contract.
| 14.135175
| 12.670925
| 14.335125
| 10.947408
| 12.353838
| 10.925588
| 12.129052
| 12.398113
| 10.641971
| 14.453765
| 12.955471
| 12.197841
| 14.186724
| 12.531978
| 12.749972
| 12.632644
| 12.437256
| 13.103436
| 11.879506
| 14.102718
| 11.882329
|
hep-th/9411087
|
Klaus
|
K. Bresser
|
All bicovariant differential calculi on Glq(3,C) and SLq(3,C)
|
24 pages, LaTeX
|
J.Phys. A28 (1995) 2545-2562
|
10.1088/0305-4470/28/9/015
|
GOET-TP 87/94
|
hep-th math.QA q-alg
| null |
All bicovariant first order differential calculi on the quantum group
GLq(3,C) are determined. There are two distinct one-parameter families of
calculi. In terms of a suitable basis of 1-forms the commutation relations can
be expressed with the help of the R-matrix of GLq(3,C). Some calculi induce
bicovariant differential calculi on SLq(3,C) and on real forms of GLq(3,C). For
generic deformation parameter q there are six calculi on SLq(3,C), on SUq(3)
there are only two. The classical limit q-->1 of bicovariant calculi on
SLq(3,C) is not the ordinary calculus on SL(3,C). One obtains a deformation of
it which involves the Cartan-Killing metric.
|
[
{
"created": "Sat, 12 Nov 1994 19:09:32 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bresser",
"K.",
""
]
] |
All bicovariant first order differential calculi on the quantum group GLq(3,C) are determined. There are two distinct one-parameter families of calculi. In terms of a suitable basis of 1-forms the commutation relations can be expressed with the help of the R-matrix of GLq(3,C). Some calculi induce bicovariant differential calculi on SLq(3,C) and on real forms of GLq(3,C). For generic deformation parameter q there are six calculi on SLq(3,C), on SUq(3) there are only two. The classical limit q-->1 of bicovariant calculi on SLq(3,C) is not the ordinary calculus on SL(3,C). One obtains a deformation of it which involves the Cartan-Killing metric.
| 5.14139
| 5.332918
| 5.725593
| 5.298913
| 5.197629
| 5.296097
| 5.19324
| 5.189662
| 5.152706
| 6.818337
| 4.968097
| 5.182314
| 5.187684
| 4.974704
| 5.068322
| 4.896427
| 5.070831
| 5.130908
| 4.854844
| 5.07899
| 4.961237
|
1812.09257
|
Davide Gaiotto
|
Kevin Costello and Davide Gaiotto
|
Twisted Holography
|
Updated reference
| null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive and test a novel holographic duality in the B-model topological
string theory. The duality relates the B-model on certain Calabi-Yau
three-folds to two-dimensional chiral algebras defined as gauged
$\beta\gamma\,$ systems. The duality conjecturally captures a topological
sector of more familiar $\mathrm{AdS}_5 / \mathrm{CFT}_4$ holographic
dualities.
|
[
{
"created": "Fri, 21 Dec 2018 16:53:19 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Dec 2018 22:10:17 GMT",
"version": "v2"
},
{
"created": "Mon, 11 Feb 2019 17:09:05 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Jan 2021 14:53:26 GMT",
"version": "v4"
}
] |
2021-01-11
|
[
[
"Costello",
"Kevin",
""
],
[
"Gaiotto",
"Davide",
""
]
] |
We derive and test a novel holographic duality in the B-model topological string theory. The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral algebras defined as gauged $\beta\gamma\,$ systems. The duality conjecturally captures a topological sector of more familiar $\mathrm{AdS}_5 / \mathrm{CFT}_4$ holographic dualities.
| 8.103968
| 7.149449
| 9.103734
| 6.648571
| 7.620137
| 7.443851
| 7.428
| 7.273255
| 7.00809
| 8.696478
| 7.540779
| 7.087106
| 8.092912
| 7.003482
| 7.524967
| 6.980814
| 7.263053
| 7.291514
| 7.323421
| 7.747168
| 7.408637
|
hep-th/0607076
|
Valentina Giangreco M. Puletti Mrs
|
Valentina Giangreco M. Puletti
|
Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
|
18 pages, no figure, corrected typos and added acknowledgements
|
JHEP0610:057,2006
|
10.1088/1126-6708/2006/10/057
|
UUITP-11/06
|
hep-th
| null |
The tree-level operator product expansion coefficients of the matter currents
are calculated in the pure spinor formalism for type IIB superstring in the
AdS(5)*S(5) background.
|
[
{
"created": "Wed, 12 Jul 2006 10:48:14 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Jul 2006 07:47:26 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Puletti",
"Valentina Giangreco M.",
""
]
] |
The tree-level operator product expansion coefficients of the matter currents are calculated in the pure spinor formalism for type IIB superstring in the AdS(5)*S(5) background.
| 9.715828
| 5.308938
| 8.768727
| 5.719845
| 5.349867
| 5.764001
| 6.028214
| 5.755411
| 5.53342
| 8.076522
| 5.624761
| 6.192467
| 9.074689
| 7.067208
| 6.133968
| 6.517101
| 6.308993
| 6.307
| 6.627143
| 7.935379
| 6.501965
|
2101.03642
|
Mario Neves Junior
|
M. J. Neves, Jorge B. de Oliveira, L. P. R. Ospedal, J. A.
Helay\"el-Neto
|
Dispersion Relations in Non-Linear Electrodynamics and the Kinematics of
the Compton Effect in a Magnetic Background
|
13 pages, 9 figures, accepted version in Physical Review D
|
Phys. Rev. D 104, 015006 (2021)
|
10.1103/PhysRevD.104.015006
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Non-linear electrodynamic models are re-assessed in this paper to pursue an
investigation of the kinematics of the Compton effect in a magnetic background.
Before considering specific models, we start off by presenting a general
non-linear Lagrangian built up in terms of the most general Lorentz- and
gauge-invariant combinations of the electric and magnetic fields. The extended
Maxwell-like equations and the energy-momentum tensor conservation are
presented and discussed in their generality. We next expand the fields around a
uniform and time-independent electric and magnetic backgrounds up to second
order in the propagating wave, and compute dispersion relations which account
for the effect of the external fields. We obtain thereby the refraction index
and the group velocity for the propagating radiation in different situations.
In particular, we focus on the kinematics of the Compton effect in presence of
external magnetic fields. This yields constraints that relate the derivatives
of the general Lagrangian with respect to the field invariants and the magnetic
background under consideration. We carry out our inspection by focusing on some
specific non-linear electrodynamic effective models: Hoffmann-Infeld,
Euler-Heisenberg, generalized Born-Infeld and Logarithmic.
|
[
{
"created": "Sun, 10 Jan 2021 23:57:32 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Jan 2021 16:17:31 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Jun 2021 20:48:52 GMT",
"version": "v3"
}
] |
2021-07-14
|
[
[
"Neves",
"M. J.",
""
],
[
"de Oliveira",
"Jorge B.",
""
],
[
"Ospedal",
"L. P. R.",
""
],
[
"Helayël-Neto",
"J. A.",
""
]
] |
Non-linear electrodynamic models are re-assessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we start off by presenting a general non-linear Lagrangian built up in terms of the most general Lorentz- and gauge-invariant combinations of the electric and magnetic fields. The extended Maxwell-like equations and the energy-momentum tensor conservation are presented and discussed in their generality. We next expand the fields around a uniform and time-independent electric and magnetic backgrounds up to second order in the propagating wave, and compute dispersion relations which account for the effect of the external fields. We obtain thereby the refraction index and the group velocity for the propagating radiation in different situations. In particular, we focus on the kinematics of the Compton effect in presence of external magnetic fields. This yields constraints that relate the derivatives of the general Lagrangian with respect to the field invariants and the magnetic background under consideration. We carry out our inspection by focusing on some specific non-linear electrodynamic effective models: Hoffmann-Infeld, Euler-Heisenberg, generalized Born-Infeld and Logarithmic.
| 11.067717
| 10.602819
| 10.617375
| 10.086787
| 11.28278
| 10.706745
| 11.02848
| 9.877487
| 10.380956
| 11.332293
| 10.387094
| 10.466271
| 10.35893
| 10.269256
| 10.295288
| 10.4706
| 10.504628
| 10.381495
| 10.375554
| 10.586056
| 10.299314
|
1207.6666
|
Zvi Bern
|
Z. Bern, J. J. M. Carrasco, H. Johansson and R. Roiban
|
The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory
|
5 pages, 4 figures, RevTex. Ancillary file included. v2 minor
corrections, corrected references and overall phase in eq. (5), matching
journal version
|
Phys. Rev. Lett. 109, 241602 (2012)
|
10.1103/PhysRevLett.109.241602
|
UCLA/12/TEP/105; SU-ITP-12/22; Saclay--IPhT--T12/056
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using the method of maximal cuts, we construct the complete D-dimensional
integrand of the five-loop four-point amplitude of N = 4 super-Yang-Mills
theory, including nonplanar contributions. In the critical dimension where this
amplitude becomes ultraviolet divergent, we present a compact explicit
expression for the nonvanishing ultraviolet divergence in terms of three vacuum
integrals. This construction provides a crucial step towards obtaining the
corresponding amplitude of N = 8 supergravity useful for resolving the general
ultraviolet behavior of supergravity theories.
|
[
{
"created": "Fri, 27 Jul 2012 23:19:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2012 08:14:28 GMT",
"version": "v2"
}
] |
2015-03-20
|
[
[
"Bern",
"Z.",
""
],
[
"Carrasco",
"J. J. M.",
""
],
[
"Johansson",
"H.",
""
],
[
"Roiban",
"R.",
""
]
] |
Using the method of maximal cuts, we construct the complete D-dimensional integrand of the five-loop four-point amplitude of N = 4 super-Yang-Mills theory, including nonplanar contributions. In the critical dimension where this amplitude becomes ultraviolet divergent, we present a compact explicit expression for the nonvanishing ultraviolet divergence in terms of three vacuum integrals. This construction provides a crucial step towards obtaining the corresponding amplitude of N = 8 supergravity useful for resolving the general ultraviolet behavior of supergravity theories.
| 9.300528
| 7.074081
| 9.227228
| 7.61218
| 8.344305
| 8.041378
| 7.251042
| 7.636692
| 7.224575
| 9.704662
| 7.424284
| 7.851714
| 8.301517
| 7.716411
| 7.583308
| 7.833842
| 7.73226
| 7.455493
| 7.213189
| 8.379288
| 7.501547
|
2203.16532
|
Yuho Sakatani
|
Yuho Sakatani, Shozo Uehara
|
Gauged sigma models and exceptional dressing cosets
|
36 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Poisson-Lie (PL) T-duality is a generalized T-duality based on the Lie
algebra of the Drinfel'd double. In particular, when we consider the PL
T-duality of a coset space, the dual space is found to be a generalized coset
space, which is called the dressing coset. In this paper, we investigate an
extension of the dressing cosets to the U-duality setup. We propose the gauged
actions for various branes in M-theory and type IIB theory, where the
generalized metric is constructed by using the Exceptional Drinfel'd Algebra
(EDA) and the gauge algebra is a certain isotropic subalgebra of the EDA. By
eliminating the gauge fields, the gauged action reduces to the standard brane
action on a certain reduced background, which we call the exceptional dressing
coset. We also propose an alternative definition of the exceptional dressing
cosets based on Sfetsos's approach and reproduce a known example of non-Abelian
T-duality in the U-duality-covariant formulation.
|
[
{
"created": "Wed, 30 Mar 2022 17:59:57 GMT",
"version": "v1"
}
] |
2022-03-31
|
[
[
"Sakatani",
"Yuho",
""
],
[
"Uehara",
"Shozo",
""
]
] |
The Poisson-Lie (PL) T-duality is a generalized T-duality based on the Lie algebra of the Drinfel'd double. In particular, when we consider the PL T-duality of a coset space, the dual space is found to be a generalized coset space, which is called the dressing coset. In this paper, we investigate an extension of the dressing cosets to the U-duality setup. We propose the gauged actions for various branes in M-theory and type IIB theory, where the generalized metric is constructed by using the Exceptional Drinfel'd Algebra (EDA) and the gauge algebra is a certain isotropic subalgebra of the EDA. By eliminating the gauge fields, the gauged action reduces to the standard brane action on a certain reduced background, which we call the exceptional dressing coset. We also propose an alternative definition of the exceptional dressing cosets based on Sfetsos's approach and reproduce a known example of non-Abelian T-duality in the U-duality-covariant formulation.
| 6.510578
| 6.277903
| 7.306078
| 5.928279
| 6.35712
| 6.484121
| 6.153856
| 6.760914
| 6.016286
| 7.969267
| 6.220254
| 6.311733
| 6.625898
| 6.04328
| 6.378475
| 6.197107
| 6.327532
| 6.360428
| 6.127059
| 6.665817
| 6.227561
|
1702.03938
|
Congkao Wen
|
Ferdinando Gliozzi, Andrea L. Guerrieri, Anastasios C. Petkou, Congkao
Wen
|
The analytic structure of conformal blocks and the generalized
Wilson-Fisher fixed points
|
38 pages, no figures; v2: 40 pages, typos corrected, references
added; v3: matches published JHEP version, one reference added
|
JHEP 1704 (2017) 056
|
10.1007/JHEP04(2017)056
|
CALT-TH-2017-009
|
hep-th cond-mat.stat-mech hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe in detail the method used in our previous work arXiv:1611.10344
to study the Wilson-Fisher critical points nearby generalized free CFTs,
exploiting the analytic structure of conformal blocks as functions of the
conformal dimension of the exchanged operator. Our method is equivalent to the
mechanism of conformal multiplet recombination set up by null states. We
compute, to the first non-trivial order in the $\epsilon$-expansion, the
anomalous dimensions and the OPE coefficients of infinite classes of scalar
local operators using just CFT data. We study single-scalar and
$O(N)$-invariant theories, as well as theories with multiple deformations. When
available we agree with older results, but we also produce a wealth of new
ones. Unitarity and crossing symmetry are not used in our approach and we are
able to apply our method to non-unitary theories as well. Some implications of
our results for the study of the non-unitary theories containing partially
conserved higher-spin currents are briefly mentioned.
|
[
{
"created": "Mon, 13 Feb 2017 19:00:07 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Feb 2017 17:36:30 GMT",
"version": "v2"
},
{
"created": "Tue, 2 May 2017 04:47:02 GMT",
"version": "v3"
}
] |
2017-05-24
|
[
[
"Gliozzi",
"Ferdinando",
""
],
[
"Guerrieri",
"Andrea L.",
""
],
[
"Petkou",
"Anastasios C.",
""
],
[
"Wen",
"Congkao",
""
]
] |
We describe in detail the method used in our previous work arXiv:1611.10344 to study the Wilson-Fisher critical points nearby generalized free CFTs, exploiting the analytic structure of conformal blocks as functions of the conformal dimension of the exchanged operator. Our method is equivalent to the mechanism of conformal multiplet recombination set up by null states. We compute, to the first non-trivial order in the $\epsilon$-expansion, the anomalous dimensions and the OPE coefficients of infinite classes of scalar local operators using just CFT data. We study single-scalar and $O(N)$-invariant theories, as well as theories with multiple deformations. When available we agree with older results, but we also produce a wealth of new ones. Unitarity and crossing symmetry are not used in our approach and we are able to apply our method to non-unitary theories as well. Some implications of our results for the study of the non-unitary theories containing partially conserved higher-spin currents are briefly mentioned.
| 8.138605
| 8.736393
| 9.937788
| 8.431572
| 8.071218
| 8.520312
| 7.993024
| 8.463969
| 8.32009
| 11.13995
| 8.211362
| 7.697958
| 8.645584
| 8.057505
| 7.862741
| 7.794042
| 7.984347
| 7.804702
| 7.893322
| 8.503485
| 7.920631
|
1105.0244
|
Ben Freivogel
|
Ben Freivogel
|
Making predictions in the multiverse
|
20 pages, 3 figures; invited review for Classical and Quantum
Gravity; v2: references improved
| null |
10.1088/0264-9381/28/20/204007
| null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I describe reasons to think we are living in an eternally inflating
multiverse where the observable "constants" of nature vary from place to place.
The major obstacle to making predictions in this context is that we must
regulate the infinities of eternal inflation. I review a number of proposed
regulators, or measures. Recent work has ruled out a number of measures by
showing that they conflict with observation, and focused attention on a few
proposals. Further, several different measures have been shown to be
equivalent. I describe some of the many nontrivial tests these measures will
face as we learn more from theory, experiment, and observation.
|
[
{
"created": "Mon, 2 May 2011 05:32:22 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Sep 2011 06:09:01 GMT",
"version": "v2"
}
] |
2015-05-28
|
[
[
"Freivogel",
"Ben",
""
]
] |
I describe reasons to think we are living in an eternally inflating multiverse where the observable "constants" of nature vary from place to place. The major obstacle to making predictions in this context is that we must regulate the infinities of eternal inflation. I review a number of proposed regulators, or measures. Recent work has ruled out a number of measures by showing that they conflict with observation, and focused attention on a few proposals. Further, several different measures have been shown to be equivalent. I describe some of the many nontrivial tests these measures will face as we learn more from theory, experiment, and observation.
| 12.03316
| 9.900513
| 10.540697
| 9.196064
| 10.216699
| 9.864512
| 9.360041
| 9.643221
| 10.078506
| 11.372291
| 9.869327
| 9.613628
| 9.93676
| 9.659945
| 9.908174
| 9.791202
| 9.564792
| 9.854971
| 9.710649
| 10.324203
| 9.853928
|
1812.11282
|
Inori Ueba
|
Yukihiro Fujimoto, Kouhei Hasegawa, Kenji Nishiwaki, Makoto Sakamoto,
Kentaro Tatsumi, Inori Ueba
|
Extended supersymmetry with central charges in higher dimensional Dirac
action
|
15 pages
|
Phys. Rev. D 99, 065002 (2019)
|
10.1103/PhysRevD.99.065002
| null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new realization of extended quantum-mechanical supersymmetry (QM SUSY) with
central extension is investigated. We first show that two different sets of
$d+2$ ($d+1$) supercharges for $d=$ even (odd), each of which satisfies an
$\mathcal{N}=d+2$ ($d+1$) extended QM SUSY algebra without central extension,
are hidden in the four-dimensional (4D) mass spectrum of the
$(4+d)$-dimensional Dirac action. We then find that the whole set of the
supercharges forms an $\mathcal{N}=2d+4$ ($2d+2$) extended QM SUSY algebra with
central charges for $d=$ even (odd). The representation of the supersymmetry
algebra is shown to be $1/2$-Bogomol'nyi--Prasad--Sommerfield states that
correspond to a short representation for the supersymmetry algebra with central
extension. We explicitly examine the 4D mass spectrum of the models with the
hyperrectangle and the torus extra dimensions, and discuss their supersymmetric
structures.
|
[
{
"created": "Sat, 29 Dec 2018 04:17:49 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Feb 2019 03:12:48 GMT",
"version": "v2"
}
] |
2019-03-27
|
[
[
"Fujimoto",
"Yukihiro",
""
],
[
"Hasegawa",
"Kouhei",
""
],
[
"Nishiwaki",
"Kenji",
""
],
[
"Sakamoto",
"Makoto",
""
],
[
"Tatsumi",
"Kentaro",
""
],
[
"Ueba",
"Inori",
""
]
] |
A new realization of extended quantum-mechanical supersymmetry (QM SUSY) with central extension is investigated. We first show that two different sets of $d+2$ ($d+1$) supercharges for $d=$ even (odd), each of which satisfies an $\mathcal{N}=d+2$ ($d+1$) extended QM SUSY algebra without central extension, are hidden in the four-dimensional (4D) mass spectrum of the $(4+d)$-dimensional Dirac action. We then find that the whole set of the supercharges forms an $\mathcal{N}=2d+4$ ($2d+2$) extended QM SUSY algebra with central charges for $d=$ even (odd). The representation of the supersymmetry algebra is shown to be $1/2$-Bogomol'nyi--Prasad--Sommerfield states that correspond to a short representation for the supersymmetry algebra with central extension. We explicitly examine the 4D mass spectrum of the models with the hyperrectangle and the torus extra dimensions, and discuss their supersymmetric structures.
| 5.665627
| 5.626817
| 6.00916
| 5.83752
| 5.594218
| 5.479304
| 5.839771
| 5.655726
| 5.680165
| 6.68288
| 5.626422
| 5.434275
| 5.433192
| 5.35609
| 5.348794
| 5.504116
| 5.455856
| 5.456432
| 5.304447
| 5.558849
| 5.395698
|
hep-th/0408189
|
Amir Masoud Ghezelbash
|
A.M. Ghezelbash, R.B. Mann
|
Atiyah-Hitchin M-Branes
|
18 pages, 5 figures, one paragraph added in the conclusions, typos
corrected
|
JHEP0410:012,2004
|
10.1088/1126-6708/2004/10/012
| null |
hep-th gr-qc
| null |
We present new M2 and M5 brane solutions in M-theory based on transverse
Atiyah-Hitchin space and other self-dual geometries. One novel feature of these
solutions is that they have bolt-like fixed points yet still preserve 1/4 of
the supersymmetry. All the solutions can be reduced down to ten dimensional
intersecting brane configurations.
|
[
{
"created": "Wed, 25 Aug 2004 19:35:16 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 2004 17:54:47 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Ghezelbash",
"A. M.",
""
],
[
"Mann",
"R. B.",
""
]
] |
We present new M2 and M5 brane solutions in M-theory based on transverse Atiyah-Hitchin space and other self-dual geometries. One novel feature of these solutions is that they have bolt-like fixed points yet still preserve 1/4 of the supersymmetry. All the solutions can be reduced down to ten dimensional intersecting brane configurations.
| 10.939144
| 7.389259
| 12.216735
| 8.486192
| 8.411325
| 7.284154
| 8.387619
| 7.812549
| 7.911187
| 13.730732
| 8.588447
| 8.445428
| 10.717731
| 8.346533
| 8.659716
| 8.759341
| 8.491345
| 8.848362
| 8.82051
| 11.168054
| 8.871067
|
hep-th/9412053
|
Michael Flohr
|
Michael Flohr
|
On a New Universal Class of Phase Transitions and Quantum Hall Effect
|
35 pages LaTeX plus 3 HUGE PostScript figures
| null | null | null |
hep-th cond-mat
| null |
We study the possible phase transitions between (2+1)-dimensional abelian
Chern-Simons theories. We show that they may be described by non-unitary
rational conformal field theories with c_eff = 1. As an example we choose the
fractional quantum Hall effect and derive all its main features from the
discrete fractal structure of the moduli space of these non-unitary transition
conforma lfield theories and some large scale principles. Rationality of these
theories is intimately related to the modular group yielding sever conditions
on the possible phase transitions. This gives a natural explanation for both,
the values and the widths, of the observed fractional Hall plateaux.
|
[
{
"created": "Tue, 6 Dec 1994 19:49:56 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Dec 1994 13:48:35 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Flohr",
"Michael",
""
]
] |
We study the possible phase transitions between (2+1)-dimensional abelian Chern-Simons theories. We show that they may be described by non-unitary rational conformal field theories with c_eff = 1. As an example we choose the fractional quantum Hall effect and derive all its main features from the discrete fractal structure of the moduli space of these non-unitary transition conforma lfield theories and some large scale principles. Rationality of these theories is intimately related to the modular group yielding sever conditions on the possible phase transitions. This gives a natural explanation for both, the values and the widths, of the observed fractional Hall plateaux.
| 15.062659
| 16.098904
| 16.631292
| 16.594091
| 15.976503
| 16.708101
| 15.36134
| 15.900393
| 15.328275
| 18.475153
| 14.541102
| 15.182125
| 15.303101
| 14.474001
| 15.404133
| 15.044409
| 15.603723
| 15.051459
| 15.030925
| 15.612318
| 14.831751
|
hep-th/0202168
|
Jan Louis
|
Jan Louis and Andrei Micu
|
Type II Theories Compactified on Calabi-Yau Threefolds in the Presence
of Background Fluxes
|
36 pages, Latex, version to appear in Nucl. Phys. B
|
Nucl.Phys.B635:395-431,2002
|
10.1016/S0550-3213(02)00338-3
| null |
hep-th
| null |
Compactifications of type II theories on Calabi-Yau threefolds including
electric and magnetic background fluxes are discussed. We derive the bosonic
part of the four-dimensional low energy effective action and show that it is a
non-canonical N=2 supergravity which includes a massive two-form. The
symplectic invariance of the theory is maintained as long as the flux
parameters transform as a symplectic vector and a massive two-form which
couples to both electric and magnetic field strengths is present. The mirror
symmetry between type IIA and type IIB compactified on mirror manifolds is
shown to hold for R-R fluxes at the level of the effective action. We also
compactify type IIA in the presence of NS three-form flux but the mirror
symmetry in this case remains unclear.
|
[
{
"created": "Mon, 25 Feb 2002 14:08:19 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2002 18:36:31 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Apr 2002 16:08:07 GMT",
"version": "v3"
}
] |
2010-11-19
|
[
[
"Louis",
"Jan",
""
],
[
"Micu",
"Andrei",
""
]
] |
Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. We derive the bosonic part of the four-dimensional low energy effective action and show that it is a non-canonical N=2 supergravity which includes a massive two-form. The symplectic invariance of the theory is maintained as long as the flux parameters transform as a symplectic vector and a massive two-form which couples to both electric and magnetic field strengths is present. The mirror symmetry between type IIA and type IIB compactified on mirror manifolds is shown to hold for R-R fluxes at the level of the effective action. We also compactify type IIA in the presence of NS three-form flux but the mirror symmetry in this case remains unclear.
| 7.477614
| 6.445656
| 7.668045
| 6.412922
| 6.766501
| 6.894087
| 7.066015
| 6.529237
| 6.873541
| 8.561145
| 6.826952
| 6.672908
| 7.209436
| 6.557747
| 6.457949
| 6.46928
| 6.593952
| 6.725721
| 6.60939
| 7.189231
| 6.76745
|
1909.12348
|
Christopher Hull
|
N. Chaemjumrus and C.M. Hull
|
The Doubled Geometry of Nilmanifold Reductions
|
38 pages
| null |
10.1007/JHEP12(2019)157
|
Imperial-TP-2019-CH-07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A class of special holonomy spaces arise as nilmanifolds fibred over a line
interval and are dual to intersecting brane solutions of string theory. Further
dualities relate these to T-folds, exotic branes, essentially doubled spaces
and spaces with R-flux. We develop the doubled geometry of these spaces, with
the various duals arising as different slices of the doubled space.
|
[
{
"created": "Thu, 26 Sep 2019 19:24:01 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Dec 2019 17:37:32 GMT",
"version": "v2"
}
] |
2020-01-29
|
[
[
"Chaemjumrus",
"N.",
""
],
[
"Hull",
"C. M.",
""
]
] |
A class of special holonomy spaces arise as nilmanifolds fibred over a line interval and are dual to intersecting brane solutions of string theory. Further dualities relate these to T-folds, exotic branes, essentially doubled spaces and spaces with R-flux. We develop the doubled geometry of these spaces, with the various duals arising as different slices of the doubled space.
| 15.803467
| 12.017428
| 17.417809
| 12.295452
| 12.423027
| 12.501038
| 11.184464
| 11.77611
| 11.392197
| 19.14422
| 12.491533
| 12.156895
| 14.239241
| 12.648912
| 12.456649
| 12.344781
| 12.90647
| 12.566664
| 11.889839
| 13.916604
| 12.100217
|
2310.07624
|
Shi Cheng
|
Shi Cheng
|
Surgery and Matter for 3d Theories
|
34 pages, many figures
| null | null | null |
hep-th math.GT
|
http://creativecommons.org/licenses/by/4.0/
|
We try to give a geometric construction for 3d $\mathcal{N}=2$ gauge theories
using three-manifolds and Dehn surgeries. We follow the story that wrapping
M5-branes on plumbing three-manifolds leads to 3d theories with mixed
Chern-Simons levels. This construction can be decorated by adding non-compact
Lagrangian submanifolds in the cotangent bundles of three-manifolds. The
M5-branes wrapping on these submanifolds through M-theory/IIB string duality
lead to flavor D5-branes that engineer chiral multiplets. In this note, we only
consider unknotted matter circles, which are intersections between these
non-compact M5-branes and plumbing manifolds. Then various dualities of 3d
theories can be interpreted as Kirby moves and equivalent surgeries. We also
find the dictionary between geometric structures of three-manifolds and
physical aspects of gauge theories.
|
[
{
"created": "Wed, 11 Oct 2023 16:07:30 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Aug 2024 14:21:09 GMT",
"version": "v2"
}
] |
2024-08-09
|
[
[
"Cheng",
"Shi",
""
]
] |
We try to give a geometric construction for 3d $\mathcal{N}=2$ gauge theories using three-manifolds and Dehn surgeries. We follow the story that wrapping M5-branes on plumbing three-manifolds leads to 3d theories with mixed Chern-Simons levels. This construction can be decorated by adding non-compact Lagrangian submanifolds in the cotangent bundles of three-manifolds. The M5-branes wrapping on these submanifolds through M-theory/IIB string duality lead to flavor D5-branes that engineer chiral multiplets. In this note, we only consider unknotted matter circles, which are intersections between these non-compact M5-branes and plumbing manifolds. Then various dualities of 3d theories can be interpreted as Kirby moves and equivalent surgeries. We also find the dictionary between geometric structures of three-manifolds and physical aspects of gauge theories.
| 9.795918
| 9.784452
| 10.651924
| 8.912867
| 10.005454
| 10.217006
| 10.187804
| 9.628458
| 8.897781
| 10.982168
| 8.688447
| 9.234818
| 9.757836
| 8.99875
| 9.303264
| 9.218727
| 9.411622
| 9.04266
| 9.132733
| 9.577974
| 9.017751
|
1405.4935
|
Mokhtar Hassaine
|
Moises Bravo-Gaete and Mokhtar Hassaine
|
Thermodynamics of a BTZ black hole solution with an Horndeski source
|
7 pages
|
Phys. Rev. D 90, 024008, 2014
|
10.1103/PhysRevD.90.024008
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In three dimensions, we consider a particular truncation of the Horndeski
action that reduces to the Einstein-Hilbert Lagrangian with a cosmological
constant $\Lambda$ and a scalar field whose dynamics is governed by its usual
kinetic term together with a nonminimal kinetic coupling. Requiring the radial
component of the conserved current to vanish, the solution turns out to be the
BTZ black hole geometry with a radial scalar field well-defined at the horizon.
This means in particular that the stress tensor associated to the matter source
behaves on-shell as an effective cosmological constant term. We construct an
Euclidean action whose field equations are consistent with the original ones
and such that the constraint on the radial component of the conserved current
also appears as a field equation. With the help of this Euclidean action, we
derive the mass and the entropy of the solution, and found that they are
proportional to the thermodynamical quantities of the BTZ solution by an
overall factor that depends on the cosmological constant. The reality condition
and the positivity of the mass impose the cosmological constant to be bounded
from above as $\Lambda\leq-\frac{1}{l^2}$ where the limiting case
$\Lambda=-\frac{1}{l^2}$ reduces to the BTZ solution with a vanishing scalar
field. Exploiting a scaling symmetry of the reduced action, we also obtain the
usual three-dimensional Smarr formula. In the last section, we extend all these
results in higher dimensions where the metric turns out to be the
Schwarzschild-AdS spacetime with planar horizon.
|
[
{
"created": "Tue, 20 May 2014 02:48:38 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Bravo-Gaete",
"Moises",
""
],
[
"Hassaine",
"Mokhtar",
""
]
] |
In three dimensions, we consider a particular truncation of the Horndeski action that reduces to the Einstein-Hilbert Lagrangian with a cosmological constant $\Lambda$ and a scalar field whose dynamics is governed by its usual kinetic term together with a nonminimal kinetic coupling. Requiring the radial component of the conserved current to vanish, the solution turns out to be the BTZ black hole geometry with a radial scalar field well-defined at the horizon. This means in particular that the stress tensor associated to the matter source behaves on-shell as an effective cosmological constant term. We construct an Euclidean action whose field equations are consistent with the original ones and such that the constraint on the radial component of the conserved current also appears as a field equation. With the help of this Euclidean action, we derive the mass and the entropy of the solution, and found that they are proportional to the thermodynamical quantities of the BTZ solution by an overall factor that depends on the cosmological constant. The reality condition and the positivity of the mass impose the cosmological constant to be bounded from above as $\Lambda\leq-\frac{1}{l^2}$ where the limiting case $\Lambda=-\frac{1}{l^2}$ reduces to the BTZ solution with a vanishing scalar field. Exploiting a scaling symmetry of the reduced action, we also obtain the usual three-dimensional Smarr formula. In the last section, we extend all these results in higher dimensions where the metric turns out to be the Schwarzschild-AdS spacetime with planar horizon.
| 6.928833
| 6.708589
| 6.477391
| 6.43143
| 6.525051
| 6.664571
| 6.627752
| 6.324626
| 6.504528
| 6.910137
| 6.532273
| 6.553197
| 6.634153
| 6.461547
| 6.445656
| 6.421831
| 6.492118
| 6.558081
| 6.504904
| 6.438145
| 6.495314
|
hep-th/9311026
|
Bern
|
Z. Bern, L. Dixon, D.A. Kosower
|
New QCD Results from String Theory
|
talk presented by Z.B. at Strings 1993, May 24-29, Berkeley CA, 16
pages
| null | null |
Saclay/SPhT--T93/116, SLAC-PUB-6388, UCLA/93/TEP/40
|
hep-th hep-ph
| null |
We discuss new results in QCD obtained with string-based methods. These
methods were originally derived from superstring theory and are significantly
more efficient than conventional Feynman rules. This technology was a key
ingredient in the first calculation of the one-loop five-gluon amplitude. We
also present a conjecture for a particular one-loop helicity amplitude with an
arbitrary number of external gluons.
|
[
{
"created": "Thu, 4 Nov 1993 03:54:32 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bern",
"Z.",
""
],
[
"Dixon",
"L.",
""
],
[
"Kosower",
"D. A.",
""
]
] |
We discuss new results in QCD obtained with string-based methods. These methods were originally derived from superstring theory and are significantly more efficient than conventional Feynman rules. This technology was a key ingredient in the first calculation of the one-loop five-gluon amplitude. We also present a conjecture for a particular one-loop helicity amplitude with an arbitrary number of external gluons.
| 10.769249
| 10.321071
| 9.658968
| 8.873146
| 10.582248
| 10.280499
| 9.184481
| 10.505951
| 9.399772
| 10.141071
| 10.391693
| 9.646343
| 10.172615
| 9.717616
| 9.899626
| 9.950271
| 9.652307
| 9.844061
| 9.772001
| 9.949196
| 9.720436
|
hep-th/9509110
|
Ninoslav Bralic
|
N. Bralic, C.D. Fosco, F.A. Schaposnik
|
On the Quantization of the Abelian Chern-Simons Coefficient at Finite
Temperature
|
11 pages, LaTeX, no figures, no special macros. Some discussion and
references added. A minor error corrected. Final version to appear in Phys.
Lett. B
|
Phys.Lett. B383 (1996) 199-204
|
10.1016/0370-2693(96)00737-X
| null |
hep-th
| null |
We show that when the Abelian \CS\ theory coupled to matter fields is
quantized in a vacuum with non vanishing magnetic flux (or electric charge),
the requirement of gauge invariance at finite temperature leads to the
quantization of the \CS\ coefficient and its quantum corrections, in a manner
similar to the non-Abelian case.
|
[
{
"created": "Thu, 21 Sep 1995 01:26:25 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 1996 19:46:22 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Bralic",
"N.",
""
],
[
"Fosco",
"C. D.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We show that when the Abelian \CS\ theory coupled to matter fields is quantized in a vacuum with non vanishing magnetic flux (or electric charge), the requirement of gauge invariance at finite temperature leads to the quantization of the \CS\ coefficient and its quantum corrections, in a manner similar to the non-Abelian case.
| 12.492454
| 10.901442
| 12.939972
| 9.394753
| 9.064524
| 9.797174
| 8.934208
| 10.906849
| 10.081149
| 12.128561
| 9.86527
| 9.566593
| 11.300138
| 9.605332
| 9.849451
| 9.590489
| 9.314727
| 9.578023
| 9.754293
| 10.639379
| 9.511044
|
0704.0784
|
Massimo Bianchi
|
Massimo Bianchi, Francesco Fucito and Jose F. Morales
|
D-brane Instantons on the T^6/Z_3 orientifold
|
31 pages, no figures
|
JHEP0707:038,2007
|
10.1088/1126-6708/2007/07/038
| null |
hep-th
| null |
We give a detailed microscopic derivation of gauge and stringy instanton
generated superpotentials for gauge theories living on D3-branes at
Z_3-orientifold singularities. Gauge instantons are generated by D(-1)-branes
and lead to Affleck, Dine and Seiberg (ADS) like superpotentials in the
effective N=1 gauge theories with three generations of bifundamental and
anti/symmetric matter. Stringy instanton effects are generated by Euclidean
ED3-branes wrapping four-cycles on T^6/\Z_3. They give rise to Majorana masses
in one case and non-renormalizable superpotentials for the other cases. Finally
we determine the conditions under which ADS like superpotentials are generated
in N=1 gauge theories with adjoints, fundamentals, symmetric and antisymmetric
chiral matter.
|
[
{
"created": "Thu, 5 Apr 2007 19:33:30 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2007 10:19:46 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bianchi",
"Massimo",
""
],
[
"Fucito",
"Francesco",
""
],
[
"Morales",
"Jose F.",
""
]
] |
We give a detailed microscopic derivation of gauge and stringy instanton generated superpotentials for gauge theories living on D3-branes at Z_3-orientifold singularities. Gauge instantons are generated by D(-1)-branes and lead to Affleck, Dine and Seiberg (ADS) like superpotentials in the effective N=1 gauge theories with three generations of bifundamental and anti/symmetric matter. Stringy instanton effects are generated by Euclidean ED3-branes wrapping four-cycles on T^6/\Z_3. They give rise to Majorana masses in one case and non-renormalizable superpotentials for the other cases. Finally we determine the conditions under which ADS like superpotentials are generated in N=1 gauge theories with adjoints, fundamentals, symmetric and antisymmetric chiral matter.
| 7.434882
| 7.587143
| 8.796948
| 7.005849
| 8.111191
| 7.995391
| 7.490922
| 7.134656
| 6.842597
| 8.33806
| 7.247571
| 7.176245
| 7.594066
| 7.002137
| 7.180145
| 7.060578
| 7.090189
| 7.181377
| 6.976986
| 7.357867
| 7.137074
|
hep-th/0104175
|
S. Mignemi
|
S. Mignemi
|
Black holes and conformal mechanics
|
5 pages, plain TeX
|
Mod.Phys.Lett. A16 (2001) 1997-2002
|
10.1142/S0217732301005370
| null |
hep-th
| null |
We show how the motion of a charged particle near the horizon of an extreme
Reissner-Nordstrom black hole can lead to different forms of conformal
mechanics, depending on the choice of the time coordinate.
|
[
{
"created": "Fri, 20 Apr 2001 11:13:09 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Mignemi",
"S.",
""
]
] |
We show how the motion of a charged particle near the horizon of an extreme Reissner-Nordstrom black hole can lead to different forms of conformal mechanics, depending on the choice of the time coordinate.
| 8.232413
| 5.304038
| 7.30135
| 6.001364
| 6.246029
| 5.556663
| 6.000022
| 5.687003
| 5.958662
| 6.082175
| 6.243059
| 6.415242
| 7.28231
| 6.593554
| 6.739347
| 6.574357
| 6.454429
| 6.732329
| 6.456236
| 7.240258
| 6.335585
|
1504.02316
|
Edilberto Oliveira Silva
|
Luis B. Castro and Edilberto O. Silva
|
Quantum dynamics of a spin-1/2 charged particle in the presence of
magnetic field with scalar and vector couplings
|
arXiv admin note: text overlap with arXiv:1403.4113
|
Eur. Phys. J. C 75 (2015) 7, 321
|
10.1140/epjc/s10052-015-3545-z
| null |
hep-th
|
http://creativecommons.org/licenses/publicdomain/
|
The quantum dynamics of a spin-1/2 charged particle in the presence of
magnetic field is analyzed for the general case where scalar and vector
couplings are considered. The energy spectra are explicitly computed for
different physical situations, as well as their dependencies on the magnetic
field strength, spin projection parameter and vector and scalar coupling
constants.
|
[
{
"created": "Thu, 9 Apr 2015 14:04:56 GMT",
"version": "v1"
}
] |
2015-07-13
|
[
[
"Castro",
"Luis B.",
""
],
[
"Silva",
"Edilberto O.",
""
]
] |
The quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field is analyzed for the general case where scalar and vector couplings are considered. The energy spectra are explicitly computed for different physical situations, as well as their dependencies on the magnetic field strength, spin projection parameter and vector and scalar coupling constants.
| 10.466863
| 9.461858
| 9.205582
| 8.244907
| 9.421626
| 9.608715
| 9.892095
| 8.792693
| 8.660058
| 9.316187
| 8.75681
| 9.024377
| 9.57903
| 9.387087
| 9.54001
| 9.176978
| 9.473835
| 9.789383
| 9.32859
| 9.819617
| 9.261319
|
1702.04661
|
Paul S. Aspinwall
|
Paul S. Aspinwall, M. Ronen Plesser and Kangkang Wang
|
Mirror Symmetry and Discriminants
|
33 pages
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the locus, together with multiplicities, of "bad" conformal field
theories in the compactified moduli space of N=(2,2) superconformal field
theories in the context of the generalization of the Batyrev mirror
construction using the gauged linear sigma-model. We find this discriminant of
singular theories is described beautifully by the GKZ "A-determinant" but only
if we use a noncompact toric Calabi-Yau variety on the A-model side and
logarithmic coordinates on the B-model side. The two are related by "local"
mirror symmetry. The corresponding statement for the compact case requires
changing multiplicities in the GKZ determinant. We then describe a natural
structure for monodromies around components of this discriminant in terms of
spherical functors. This can be considered a categorification of the GKZ
A-determinant. Each component of the discriminant is naturally associated with
a category of massless D-branes.
|
[
{
"created": "Wed, 15 Feb 2017 16:01:54 GMT",
"version": "v1"
}
] |
2017-02-16
|
[
[
"Aspinwall",
"Paul S.",
""
],
[
"Plesser",
"M. Ronen",
""
],
[
"Wang",
"Kangkang",
""
]
] |
We analyze the locus, together with multiplicities, of "bad" conformal field theories in the compactified moduli space of N=(2,2) superconformal field theories in the context of the generalization of the Batyrev mirror construction using the gauged linear sigma-model. We find this discriminant of singular theories is described beautifully by the GKZ "A-determinant" but only if we use a noncompact toric Calabi-Yau variety on the A-model side and logarithmic coordinates on the B-model side. The two are related by "local" mirror symmetry. The corresponding statement for the compact case requires changing multiplicities in the GKZ determinant. We then describe a natural structure for monodromies around components of this discriminant in terms of spherical functors. This can be considered a categorification of the GKZ A-determinant. Each component of the discriminant is naturally associated with a category of massless D-branes.
| 10.253578
| 10.578794
| 12.634459
| 9.700126
| 10.681433
| 9.645543
| 9.72146
| 10.469704
| 9.991187
| 14.796943
| 9.774317
| 9.863645
| 10.945489
| 9.786674
| 9.606411
| 9.83098
| 10.096411
| 9.924013
| 9.953605
| 10.870079
| 9.491671
|
2402.01847
|
Federico Piazza
|
Francesco Nitti, Federico Piazza and Alexander Taskov
|
Relativity of the event: examples in JT gravity and linearized GR
|
40 pages, 10 Figures. Comments welcome. v2: improved discussion,
references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Observables in quantum gravity are famously defined asymptotically, at the
boundary of AdS or Minkowski spaces. However, by gauge fixing a coordinate
system or suitably dressing the field operators, an approximate, "quasi-local"
approach is also possible, that can give account of the measurements performed
by a set of observers living inside the spacetime. In particular, one can
attach spatial coordinates to the worldlines of these observers and use their
proper times as a time coordinate. Here we highlight that any such local
formulation has to face the relativity of the event, in that changing frame (=
set of observers) implies a reshuffling of the point-events and the way they
are identified. As a consequence, coordinate transformations between different
frames become probabilistic in quantum gravity. We give a concrete realization
of this mechanism in Jackiw-Teitelboim gravity, where a point in the bulk can
be defined operationally with geodesics anchored to the boundary. We describe
different ways to do so, each corresponding to a different frame, and compute
the variances of the transformations relating some of these frames. In
particular, we compute the variance of the location of the black hole horizon,
which appears smeared in most frames. We then suggest how to calculate this
effect in Einstein gravity, assuming knowledge of the wavefunction of the
metric. The idea is to expand the latter on a basis of semiclassical states.
Each element of this basis enjoys standard/deterministic coordinate
transformations and the result is thus obtained by superposition. As a
divertissement, we sabotage the familiar Lorentz boosts by adding to Minkoswki
spacetime a quantum superposition of gravitational waves and compute the
probabilistic transformation to a boosted frame in linearized gravity. Finally,
we attempt to translate the relativity of the event in the language of dressed
operators.
|
[
{
"created": "Fri, 2 Feb 2024 19:03:22 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Apr 2024 08:11:54 GMT",
"version": "v2"
}
] |
2024-05-01
|
[
[
"Nitti",
"Francesco",
""
],
[
"Piazza",
"Federico",
""
],
[
"Taskov",
"Alexander",
""
]
] |
Observables in quantum gravity are famously defined asymptotically, at the boundary of AdS or Minkowski spaces. However, by gauge fixing a coordinate system or suitably dressing the field operators, an approximate, "quasi-local" approach is also possible, that can give account of the measurements performed by a set of observers living inside the spacetime. In particular, one can attach spatial coordinates to the worldlines of these observers and use their proper times as a time coordinate. Here we highlight that any such local formulation has to face the relativity of the event, in that changing frame (= set of observers) implies a reshuffling of the point-events and the way they are identified. As a consequence, coordinate transformations between different frames become probabilistic in quantum gravity. We give a concrete realization of this mechanism in Jackiw-Teitelboim gravity, where a point in the bulk can be defined operationally with geodesics anchored to the boundary. We describe different ways to do so, each corresponding to a different frame, and compute the variances of the transformations relating some of these frames. In particular, we compute the variance of the location of the black hole horizon, which appears smeared in most frames. We then suggest how to calculate this effect in Einstein gravity, assuming knowledge of the wavefunction of the metric. The idea is to expand the latter on a basis of semiclassical states. Each element of this basis enjoys standard/deterministic coordinate transformations and the result is thus obtained by superposition. As a divertissement, we sabotage the familiar Lorentz boosts by adding to Minkoswki spacetime a quantum superposition of gravitational waves and compute the probabilistic transformation to a boosted frame in linearized gravity. Finally, we attempt to translate the relativity of the event in the language of dressed operators.
| 13.282277
| 12.956067
| 14.190475
| 13.107458
| 13.85536
| 13.227407
| 13.914447
| 12.229053
| 13.133065
| 15.740199
| 12.965511
| 12.917196
| 13.261706
| 12.851171
| 12.746772
| 12.776779
| 12.891426
| 12.984899
| 12.961836
| 13.153684
| 12.971389
|
1712.09549
|
Adolfo Guarino
|
Adolfo Guarino
|
Hypermultiplet gaugings and supersymmetric solutions from 11D and
massive IIA supergravity on H$^{(p,q)}$ spaces
|
10 pages, 3 tables. v2: Published version. v3: minor edits, added
clarifications
| null |
10.1140/epjc/s10052-018-5672-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Supersymmetric $\,\textrm{AdS}_{4}\,$, $\,\textrm{AdS}_{2} \times
\Sigma_{2}\,$ and asymptotically AdS$_{4}$ black hole solutions are studied in
the context of non-minimal $\,\mathcal{N}=2\,$ supergravity models involving
three vector multiplets (STU-model) and Abelian gaugings of the universal
hypermultiplet moduli space. Such models correspond to consistent subsectors of
the $\,\textrm{SO}(p,q)\,$ and $\,\textrm{ISO}(p,q)\,$ gauged maximal
supergravities that arise from the reduction of 11D and massive IIA
supergravity on $\,\textrm{H}^{(p,q)}\,$ spaces down to four dimensions. A
unified description of all the models is provided in terms of a square-root
prepotential and the gauging of a duality-hidden symmetry pair of the universal
hypermultiplet. Some aspects of M-theory and massive IIA holography are
mentioned in passing.
|
[
{
"created": "Wed, 27 Dec 2017 11:21:34 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2018 16:05:03 GMT",
"version": "v2"
},
{
"created": "Wed, 7 Aug 2019 15:43:55 GMT",
"version": "v3"
}
] |
2019-08-08
|
[
[
"Guarino",
"Adolfo",
""
]
] |
Supersymmetric $\,\textrm{AdS}_{4}\,$, $\,\textrm{AdS}_{2} \times \Sigma_{2}\,$ and asymptotically AdS$_{4}$ black hole solutions are studied in the context of non-minimal $\,\mathcal{N}=2\,$ supergravity models involving three vector multiplets (STU-model) and Abelian gaugings of the universal hypermultiplet moduli space. Such models correspond to consistent subsectors of the $\,\textrm{SO}(p,q)\,$ and $\,\textrm{ISO}(p,q)\,$ gauged maximal supergravities that arise from the reduction of 11D and massive IIA supergravity on $\,\textrm{H}^{(p,q)}\,$ spaces down to four dimensions. A unified description of all the models is provided in terms of a square-root prepotential and the gauging of a duality-hidden symmetry pair of the universal hypermultiplet. Some aspects of M-theory and massive IIA holography are mentioned in passing.
| 5.71574
| 4.775988
| 6.481454
| 5.153199
| 4.990304
| 5.010654
| 4.891077
| 4.776868
| 5.045547
| 8.059923
| 4.867643
| 5.039999
| 5.632432
| 5.14843
| 5.080779
| 5.12683
| 5.025608
| 5.119125
| 5.144228
| 5.649061
| 4.942204
|
1406.6694
|
Shuichi Yokoyama
|
Shuichi Yokoyama
|
More on BPS States in N=4 Supersymmetric Yang-Mills Theory on R x S3
|
37 pages, v2: typos corrected, comments and Acknowledgements added
| null |
10.1007/JHEP12(2014)163
|
TIFR/TH/14-19
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a systematic analysis on supersymmetric states in N=4
supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16
BPS equations and determine the precise configuration of the supersymmetric
states by solving all 1/16 BPS equations when they are valued in Cartan
subalgebra of a gauge group and the fermionic fields vanish. We also determine
the number of supersymmetries preserved by the supersymmetric states varying
the parameters of the BPS solutions. As a byproduct we present the complete set
of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional
reduction.
|
[
{
"created": "Wed, 25 Jun 2014 20:00:17 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2014 19:54:52 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Yokoyama",
"Shuichi",
""
]
] |
We perform a systematic analysis on supersymmetric states in N=4 supersymmetric Yang-Mills theory (SYM) on R x S^3. We find a new set of 1/16 BPS equations and determine the precise configuration of the supersymmetric states by solving all 1/16 BPS equations when they are valued in Cartan subalgebra of a gauge group and the fermionic fields vanish. We also determine the number of supersymmetries preserved by the supersymmetric states varying the parameters of the BPS solutions. As a byproduct we present the complete set of such supersymmetric states in N=8 SYM on R x S^2 by carrying out dimensional reduction.
| 7.264635
| 7.265106
| 7.118904
| 6.704692
| 6.851315
| 6.786852
| 6.795549
| 7.17964
| 6.487376
| 8.660095
| 6.82018
| 6.714962
| 7.105876
| 6.653867
| 6.807722
| 6.80655
| 6.680743
| 6.564446
| 6.81403
| 7.06205
| 6.857439
|
hep-th/9802111
|
Parthasarathi Majumdar
|
Parthasarathi Majumdar and Soumitra SenGupta
|
Gaugino mass in the Heterotic string with Scherk-Schwarz
compactification
|
4 pages Revtex, no figures
|
Phys.Lett. B445 (1998) 129-133
|
10.1016/S0370-2693(98)01494-4
|
SINP-98/05
|
hep-th
| null |
The generic observable sector gaugino mass in the weakly-coupled heterotic
string compactified to four dimensions by the Scherk-Schwarz scheme (together
with hidden sector gaugino condensation inducing the super-Higgs effect with a
vanishing cosmological constant) is shown to be non-zero at tree level, being
of the order of the gravitino mass, modulo reasonable assumptions regarding the
magnitude of the condensate and the Scherk-Schwarz mass parameters
|
[
{
"created": "Mon, 16 Feb 1998 11:52:18 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Majumdar",
"Parthasarathi",
""
],
[
"SenGupta",
"Soumitra",
""
]
] |
The generic observable sector gaugino mass in the weakly-coupled heterotic string compactified to four dimensions by the Scherk-Schwarz scheme (together with hidden sector gaugino condensation inducing the super-Higgs effect with a vanishing cosmological constant) is shown to be non-zero at tree level, being of the order of the gravitino mass, modulo reasonable assumptions regarding the magnitude of the condensate and the Scherk-Schwarz mass parameters
| 10.588262
| 9.930603
| 10.613478
| 9.473303
| 9.425529
| 9.069263
| 8.407428
| 8.969163
| 8.229597
| 11.716165
| 8.608334
| 9.415363
| 10.032722
| 9.524755
| 9.658494
| 9.200443
| 9.168668
| 9.368704
| 9.369102
| 9.934929
| 9.106483
|
hep-th/0603100
|
Dorothea Bahns
|
K. Pohlmeyer
|
The Algebra of Observables of the closed Bosonic String in
(1+3)-dimensional Minkowski-Space: updating the structural Analysis
| null |
Mod.Phys.Lett.A21:1783-1794,2006
|
10.1142/S0217732306021025
| null |
hep-th
| null |
The purpose of the present paper is the communication of some results and
observations which shed new light on the algebraic structure of the algebra of
string observables both in the classical and in the quantum theory.
|
[
{
"created": "Mon, 13 Mar 2006 19:05:15 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Pohlmeyer",
"K.",
""
]
] |
The purpose of the present paper is the communication of some results and observations which shed new light on the algebraic structure of the algebra of string observables both in the classical and in the quantum theory.
| 10.681768
| 9.902217
| 9.254325
| 9.244653
| 8.874627
| 9.476329
| 9.941753
| 9.27767
| 9.313144
| 9.046981
| 9.299265
| 9.436025
| 10.755949
| 9.81927
| 9.921309
| 10.141047
| 9.812144
| 9.771845
| 9.88442
| 10.971524
| 9.218707
|
hep-th/0408075
|
David Nolland
|
David Nolland
|
Topology, normalisability and the Schr\"odinger equation: Compact QED
(2+1)
|
7 pages
| null | null | null |
hep-th
| null |
For the special case of compact QED in (2+1) dimensions, we calculate the
non-Gaussian vacuum wave-functional to second order in the monopole fugacity
and obtain the effective photon mass. Our method presents some hope for
understanding the connection between variational and systematic approaches to
understanding the non-perturbative wave-functional.
|
[
{
"created": "Tue, 10 Aug 2004 12:29:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nolland",
"David",
""
]
] |
For the special case of compact QED in (2+1) dimensions, we calculate the non-Gaussian vacuum wave-functional to second order in the monopole fugacity and obtain the effective photon mass. Our method presents some hope for understanding the connection between variational and systematic approaches to understanding the non-perturbative wave-functional.
| 17.903845
| 16.503738
| 18.734186
| 13.673692
| 15.871468
| 15.270471
| 15.566026
| 14.571268
| 13.289351
| 15.944988
| 13.997806
| 15.053163
| 16.294416
| 14.611964
| 14.393811
| 15.052058
| 14.648541
| 15.399172
| 14.92561
| 15.827777
| 14.552024
|
hep-th/0108193
|
Ysmyung
|
Y. S. Myung (Inje Univ)
|
A gauge boson from the Kaluza-Klein approach of the Randall-Sundrum
brane world
|
7 pages, typo corrected and comments added
| null | null |
INJE-TP-01-08
|
hep-th
| null |
We clarify a mechanism to obtain a massless gauge boson from the Kaluza-Klein
approach of the Randall-Sundrum(RS) brane world. This corresponds exactly to
the same mechanism of achieving a localization of the gauge boson by adding
both the bulk and brane mass terms. Accordingly this work puts another example
for a localization-mechanism of the gauge boson on the brane.
|
[
{
"created": "Mon, 27 Aug 2001 10:14:14 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2001 06:15:34 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Myung",
"Y. S.",
"",
"Inje Univ"
]
] |
We clarify a mechanism to obtain a massless gauge boson from the Kaluza-Klein approach of the Randall-Sundrum(RS) brane world. This corresponds exactly to the same mechanism of achieving a localization of the gauge boson by adding both the bulk and brane mass terms. Accordingly this work puts another example for a localization-mechanism of the gauge boson on the brane.
| 12.699944
| 10.231783
| 11.464073
| 11.299597
| 11.668106
| 11.751226
| 11.369804
| 10.843958
| 10.728097
| 11.948194
| 10.350344
| 10.974345
| 11.724257
| 11.357178
| 11.0682
| 11.337228
| 11.064466
| 11.176825
| 11.433662
| 11.382612
| 10.901447
|
hep-th/9705168
| null |
V.E. Rochev
|
On solving Schwinger-Dyson equations for non-Abelian gauge theory
|
12 pages, Plain LaTeX, no figures, extended and revised version
published in Journal of Physics A
|
J.Phys.A31:409-416,1998
|
10.1088/0305-4470/31/1/034
| null |
hep-th
| null |
A method for solving Schwinger-Dyson equations for the Green function
generating functional of non-Abelian gauge theory is proposed. The method is
based on an approximation of Schwinger-Dyson equations by exactly soluble
equations. For the SU(2) model the first step equations of the iteration scheme
are solved which define a gauge field propagator. Apart from the usual
perturbative solution, a non-perturbative solution is found which corresponds
to the spontaneous symmetry breaking and obeys infrared finite behaviour of the
propagator.
|
[
{
"created": "Thu, 22 May 1997 15:03:04 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 1997 15:40:56 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Rochev",
"V. E.",
""
]
] |
A method for solving Schwinger-Dyson equations for the Green function generating functional of non-Abelian gauge theory is proposed. The method is based on an approximation of Schwinger-Dyson equations by exactly soluble equations. For the SU(2) model the first step equations of the iteration scheme are solved which define a gauge field propagator. Apart from the usual perturbative solution, a non-perturbative solution is found which corresponds to the spontaneous symmetry breaking and obeys infrared finite behaviour of the propagator.
| 7.90141
| 7.356851
| 7.98595
| 7.601079
| 8.491005
| 7.833181
| 7.976173
| 7.944277
| 6.971179
| 8.179961
| 7.605017
| 7.370166
| 7.432387
| 7.627897
| 7.377654
| 7.665354
| 7.479872
| 7.729259
| 7.429461
| 7.615951
| 7.515138
|
2310.16438
|
Yong-Liang Ma
|
Fan Lin and Yong-Liang Ma
|
Baryons as Vortexes on the $\eta^{\prime}$ Domain Wall
|
13 pages
|
J-Ref: JHEP 05 (2024) 270
| null | null |
hep-th hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that the recent construction of $N_f=1$ baryons on the $\eta^\prime$
domain wall can be understood as vortexes of the principal effective theory --
the Chern-Simons-Higgs theory -- on a 2+1-dimensional sheet. This theory has a
series of vertex solutions, and the vortex with unit topological charge
naturally spins $N_c/2$, which coincides with the spin of the one-flavor baryon
in QCD. Since the $N_c$ scaling of the vortexes is the same as that of baryons,
baryons can be regarded as vortexes. By virtue of the particle-vortex symmetry,
the dual Zhang-Hansson-Kivelson theory indicates that the quark carries
topological charge $1/N_c$ and obeys fractional statistics. The generalization
to arbitrary $N_f$ is also discussed.
|
[
{
"created": "Wed, 25 Oct 2023 08:04:11 GMT",
"version": "v1"
},
{
"created": "Tue, 28 May 2024 10:14:52 GMT",
"version": "v2"
}
] |
2024-05-29
|
[
[
"Lin",
"Fan",
""
],
[
"Ma",
"Yong-Liang",
""
]
] |
We show that the recent construction of $N_f=1$ baryons on the $\eta^\prime$ domain wall can be understood as vortexes of the principal effective theory -- the Chern-Simons-Higgs theory -- on a 2+1-dimensional sheet. This theory has a series of vertex solutions, and the vortex with unit topological charge naturally spins $N_c/2$, which coincides with the spin of the one-flavor baryon in QCD. Since the $N_c$ scaling of the vortexes is the same as that of baryons, baryons can be regarded as vortexes. By virtue of the particle-vortex symmetry, the dual Zhang-Hansson-Kivelson theory indicates that the quark carries topological charge $1/N_c$ and obeys fractional statistics. The generalization to arbitrary $N_f$ is also discussed.
| 11.201194
| 12.427364
| 11.09643
| 10.77865
| 11.324736
| 11.223425
| 11.38966
| 10.764887
| 10.321424
| 11.013436
| 10.369747
| 10.367876
| 11.497246
| 10.223673
| 10.384902
| 10.102537
| 10.274991
| 10.202919
| 10.600906
| 11.591368
| 9.90601
|
1809.04896
|
Yakov Shnir
|
Tomasz Romanczukiewicz and Yakov Shnir
|
Some Recent Developments on Kink Collisions and Related Topics
|
26 pages, 9 figures; invited chapter to "A dynamical perspective on
the {\phi}4 model: Past, present and future", Eds. P.G. Kevrekidis and J.
Cuevas-Maraver; Springer book class with svmult.cls included
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review recent works on modeling of dynamics of kinks in 1+1 dimensional
$\phi^4$ theory and other related models, like sine-Gordon model or $\phi^6$
theory. We discuss how the spectral structure of small perturbations can affect
the dynamics of non-perturbative states, such as kinks or oscillons. We
describe different mechanisms, which may lead to the occurrence of the resonant
structure in the kink-antikink collisions. We explain the origin of the
radiation pressure mechanism, in particular, the appearance of the negative
radiation pressure in the $\phi^4$ and $\phi^6$ models. We also show that the
process of production of the kink-antikink pairs, induced by radiation is
chaotic.
|
[
{
"created": "Thu, 13 Sep 2018 11:56:25 GMT",
"version": "v1"
}
] |
2018-09-14
|
[
[
"Romanczukiewicz",
"Tomasz",
""
],
[
"Shnir",
"Yakov",
""
]
] |
We review recent works on modeling of dynamics of kinks in 1+1 dimensional $\phi^4$ theory and other related models, like sine-Gordon model or $\phi^6$ theory. We discuss how the spectral structure of small perturbations can affect the dynamics of non-perturbative states, such as kinks or oscillons. We describe different mechanisms, which may lead to the occurrence of the resonant structure in the kink-antikink collisions. We explain the origin of the radiation pressure mechanism, in particular, the appearance of the negative radiation pressure in the $\phi^4$ and $\phi^6$ models. We also show that the process of production of the kink-antikink pairs, induced by radiation is chaotic.
| 6.965272
| 6.578264
| 7.132409
| 6.54441
| 6.774264
| 6.726248
| 6.819218
| 6.587613
| 6.286339
| 7.320145
| 6.352752
| 6.54372
| 6.694586
| 6.497151
| 6.72224
| 6.684449
| 6.633031
| 6.643133
| 6.496573
| 6.566064
| 6.665274
|
hep-th/9605147
|
Lawrence Horwitz
|
Oskar Pelc and L. P. Horwitz
|
Generalization of the Coleman-Mandula Theorem to Higher Dimension
|
42 pages, Latex
|
J.Math.Phys. 38 (1997) 139-172
|
10.1063/1.531846
|
IASSNS-96/31; TAUP 2175-94
|
hep-th
| null |
The Coleman-Mandula theorem, which states that space-time and internal
symmetries cannot be combined in any but a trivial way, is generalized to an
arbitrarily higher spacelike dimension. Prospects for further generalizations
of the theorem (space-like representations, larger time-like dimension,
infinite number of particle types) are also discussed. The original proof
relied heavily on the Dirac formalism, which was not well defined
mathematically at that time. The proof given here is based on the rigorous
version of the Dirac formalism, based on the theory of distributions. This work
serves also to demonstrate the suitability of this formalism for practical
applications.
|
[
{
"created": "Tue, 21 May 1996 16:26:17 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Pelc",
"Oskar",
""
],
[
"Horwitz",
"L. P.",
""
]
] |
The Coleman-Mandula theorem, which states that space-time and internal symmetries cannot be combined in any but a trivial way, is generalized to an arbitrarily higher spacelike dimension. Prospects for further generalizations of the theorem (space-like representations, larger time-like dimension, infinite number of particle types) are also discussed. The original proof relied heavily on the Dirac formalism, which was not well defined mathematically at that time. The proof given here is based on the rigorous version of the Dirac formalism, based on the theory of distributions. This work serves also to demonstrate the suitability of this formalism for practical applications.
| 9.452692
| 10.974494
| 9.784527
| 9.664474
| 9.874841
| 9.75511
| 11.054628
| 10.121953
| 8.922585
| 9.024581
| 9.957025
| 9.505147
| 9.125078
| 9.507575
| 9.281528
| 8.980512
| 9.720598
| 9.600393
| 9.599059
| 9.461652
| 9.149763
|
hep-th/9705023
|
Michael Gutperle
|
Michael Gutperle (DAMTP, University of Cambridge)
|
Contact terms, symmetries and D-instantons
|
18 pages, Latex
|
Nucl.Phys. B508 (1997) 133-146
|
10.1016/S0550-3213(97)00507-5
|
DAMTP-97-44
|
hep-th
| null |
The scattering of NS-NS antisymmetric tensor states in the presence of
D-instantons in type IIB superstring theory is studied. It is shown that in
order to preserve gauge invariance, spacetime supersymmetry and picture
changing symmetry the inclusion of boundary contact terms for closed string
antisymmetric tensor vertex operators is necessary.
|
[
{
"created": "Mon, 5 May 1997 15:13:05 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Gutperle",
"Michael",
"",
"DAMTP, University of Cambridge"
]
] |
The scattering of NS-NS antisymmetric tensor states in the presence of D-instantons in type IIB superstring theory is studied. It is shown that in order to preserve gauge invariance, spacetime supersymmetry and picture changing symmetry the inclusion of boundary contact terms for closed string antisymmetric tensor vertex operators is necessary.
| 9.635588
| 7.708575
| 8.951421
| 7.566663
| 8.46562
| 8.360137
| 8.23601
| 7.787368
| 7.666119
| 9.451204
| 7.778535
| 8.262156
| 10.443828
| 8.32418
| 7.850086
| 8.098426
| 8.18018
| 8.872585
| 8.352106
| 9.670377
| 8.718573
|
hep-th/0209197
|
Yang Haitang
|
Haitang Yang
|
Stress Tensors in p-adic String Theory and Truncated OSFT
|
18 pages, 3 figures
|
JHEP 0211 (2002) 007
|
10.1088/1126-6708/2002/11/007
| null |
hep-th
| null |
We construct the stress tensors for the p-adic string model and for the pure
tachyonic sector of open string field theory by naive metric covariantization
of the action. Then we give the concrete energy density of a lump solution of
the p-adic model. In the cubic open bosonic string field theory, we also give
the energy density of a lump solution and pressure evolution of a rolling
tachyon solution.
|
[
{
"created": "Tue, 24 Sep 2002 02:03:21 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2002 16:20:43 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Oct 2002 23:32:34 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Yang",
"Haitang",
""
]
] |
We construct the stress tensors for the p-adic string model and for the pure tachyonic sector of open string field theory by naive metric covariantization of the action. Then we give the concrete energy density of a lump solution of the p-adic model. In the cubic open bosonic string field theory, we also give the energy density of a lump solution and pressure evolution of a rolling tachyon solution.
| 12.893239
| 12.781224
| 13.898472
| 12.679191
| 14.719957
| 14.178442
| 13.271227
| 12.834761
| 12.348574
| 14.966453
| 11.93504
| 12.235007
| 13.321234
| 12.186741
| 12.380065
| 12.396186
| 12.512013
| 12.571332
| 12.099508
| 12.254816
| 12.208325
|
2211.07927
|
Watse Sybesma
|
Watse Sybesma
|
A Zoo of Deformed Jackiw-Teitelboim Models near Large Dimensional Black
Holes
|
v2: Implemented changed of published version. v1: 12 pages, 1 figure,
1 table and one page of appendices
| null |
10.1007/JHEP01(2023)141
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider a charged Lifshitz black hole in the large transverse dimension
limit. In this setup, the dynamics near the black hole horizon are shown to be
effectively governed by a family of two-dimensional models of dilaton gravity
depending on the ratio of the dynamical parameter characterizing the black hole
and the dimension of spacetime. This family includes the
Callan-Giddings-Harvey-Strominger (CGHS) and Jackiw-Teitelboim (JT) models and
their charged equivalents. This family also contains classes of asymptotically
anti-de Sitter models beyond JT, characterized by a running Ricci scalar, with
the option of adding charge. Finally, we argue that specific non-minimally
coupled probe scalars in the parent Lifshitz model become minimally coupled
scalars in the two-dimensional theory, which is relevant for understanding
semi-classical corrections in such models.
|
[
{
"created": "Tue, 15 Nov 2022 06:23:36 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Feb 2023 21:50:55 GMT",
"version": "v2"
}
] |
2023-02-22
|
[
[
"Sybesma",
"Watse",
""
]
] |
We consider a charged Lifshitz black hole in the large transverse dimension limit. In this setup, the dynamics near the black hole horizon are shown to be effectively governed by a family of two-dimensional models of dilaton gravity depending on the ratio of the dynamical parameter characterizing the black hole and the dimension of spacetime. This family includes the Callan-Giddings-Harvey-Strominger (CGHS) and Jackiw-Teitelboim (JT) models and their charged equivalents. This family also contains classes of asymptotically anti-de Sitter models beyond JT, characterized by a running Ricci scalar, with the option of adding charge. Finally, we argue that specific non-minimally coupled probe scalars in the parent Lifshitz model become minimally coupled scalars in the two-dimensional theory, which is relevant for understanding semi-classical corrections in such models.
| 8.517501
| 8.567888
| 8.637844
| 8.425066
| 8.694127
| 8.407384
| 8.515067
| 7.955728
| 8.174577
| 8.863004
| 7.882443
| 8.09018
| 8.112246
| 8.300236
| 8.476033
| 8.642116
| 8.325535
| 8.318913
| 8.2224
| 8.261314
| 8.437362
|
hep-th/0610178
|
Florian Bauer
|
Florian Bauer
|
The Cosmological Constant and Discrete Space-Times
|
98 pages, PhD thesis
| null | null | null |
hep-th gr-qc hep-ph
| null |
In this thesis the cosmological constant is investigated from two points of
view. First, we study the influence of a time-dependent cosmological constant
on the late-time expansion of the universe. Thereby, we consider several
combinations of scaling laws motivated by renormalisation group running and
different choices for the interpretation of the renormalisation scale. Apart
from well known solutions like de Sitter final states we also observe the
appearance of future singularities. As the second topic we explore vacuum
energy in the context of discrete extra dimensions, and we calculate the
Casimir energy density as a contribution to the cosmological constant. The
results are applied in a deconstruction scenario, where we propose a method to
determine the zero-point energy of quantum fields in four dimensions. In a
related way we find a lower bound on the size of a discrete gravitational extra
dimension, and finally we discuss the graviton and fermion mass spectra in a
scenario, where the extra dimensions form a discrete curved disk.
|
[
{
"created": "Mon, 16 Oct 2006 16:02:22 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bauer",
"Florian",
""
]
] |
In this thesis the cosmological constant is investigated from two points of view. First, we study the influence of a time-dependent cosmological constant on the late-time expansion of the universe. Thereby, we consider several combinations of scaling laws motivated by renormalisation group running and different choices for the interpretation of the renormalisation scale. Apart from well known solutions like de Sitter final states we also observe the appearance of future singularities. As the second topic we explore vacuum energy in the context of discrete extra dimensions, and we calculate the Casimir energy density as a contribution to the cosmological constant. The results are applied in a deconstruction scenario, where we propose a method to determine the zero-point energy of quantum fields in four dimensions. In a related way we find a lower bound on the size of a discrete gravitational extra dimension, and finally we discuss the graviton and fermion mass spectra in a scenario, where the extra dimensions form a discrete curved disk.
| 11.297994
| 11.033918
| 10.933672
| 10.39405
| 12.641725
| 11.60762
| 11.39456
| 10.7071
| 10.68032
| 10.773218
| 10.740069
| 10.663214
| 10.570656
| 10.380374
| 10.397069
| 10.628952
| 10.721148
| 10.66967
| 10.686404
| 10.613749
| 10.506732
|
1011.6241
|
Emil Nissimov
|
Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov and Svetlana
Pacheva
|
Space-Time Compactification, Non-Singular Black Holes, Wormholes and
Braneworlds via Lightlike Branes
|
16 pages, to appear in "Sixth Summer School and Conference on Modern
Mathematical Physics", ed. B. Dragovic et.al., Belgrade Univ. Press (2011),
few typos in Appendix corrected
|
"Sixth Mathematical Physics Meeting'', pp. 217-234, B. Dragovic
and Z. Rakic (eds.), Belgrade Inst. Phys. Press (2011)
| null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a concise general scheme for constructing solutions of
Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time
interacting self-consistently with one or more (widely separated)
codimension-one electrically charged lightlike branes. The lightlike brane
dynamics is explicitly given by manifestly reparametrization invariant
world-volume actions. We present several explicit classes of solutions with
different physical interpretation as wormhole-like space-times with one, two or
more "throats", singularity-free black holes, brane worlds and space-times
undergoing a sequence of spontaneous compactification-decompactification
transitions.
|
[
{
"created": "Mon, 29 Nov 2010 14:29:40 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Dec 2010 14:52:14 GMT",
"version": "v2"
}
] |
2016-11-29
|
[
[
"Guendelman",
"Eduardo",
""
],
[
"Kaganovich",
"Alexander",
""
],
[
"Nissimov",
"Emil",
""
],
[
"Pacheva",
"Svetlana",
""
]
] |
We describe a concise general scheme for constructing solutions of Einstein-Maxwell-Kalb-Ramond gravity-matter system in bulk space-time interacting self-consistently with one or more (widely separated) codimension-one electrically charged lightlike branes. The lightlike brane dynamics is explicitly given by manifestly reparametrization invariant world-volume actions. We present several explicit classes of solutions with different physical interpretation as wormhole-like space-times with one, two or more "throats", singularity-free black holes, brane worlds and space-times undergoing a sequence of spontaneous compactification-decompactification transitions.
| 12.488493
| 12.081469
| 12.935502
| 11.924067
| 12.787932
| 11.976763
| 12.940278
| 11.248382
| 11.234586
| 14.243149
| 11.554513
| 11.707989
| 12.579062
| 11.650057
| 11.781917
| 11.879259
| 11.792306
| 11.193668
| 11.409653
| 12.311621
| 11.262619
|
1012.1300
|
Hisham Sati
|
Hisham Sati
|
M-theory, the signature theorem, and geometric invariants
|
17 pages
|
Phys.Rev.D83:126010,2011
|
10.1103/PhysRevD.83.126010
| null |
hep-th math.AT math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The equations of motion and the Bianchi identity of the C-field in M-theory
are encoded in terms of the signature operator. We then reformulate the
topological part of the action in M-theory using the signature, which leads to
connections to the geometry of the underlying manifold, including positive
scalar curvature. This results in a variation on the miraculous cancellation
formula of Alvarez-Gaum\'e and Witten in twelve dimensions and leads naturally
to the Kreck-Stolz s-invariant in eleven dimensions. Hence M-theory detects
diffeomorphism type of eleven-dimensional (and seven-dimensional) manifolds,
and in the restriction to parallelizable manifolds classifies topological
eleven-spheres. Furthermore, requiring the phase of the partition function to
be anomaly-free imposes restrictions on allowed values of the s-invariant.
Relating to string theory in ten dimensions amounts to viewing the bounding
theory as a disk bundle, for which we study the corresponding phase in this
formulation.
|
[
{
"created": "Mon, 6 Dec 2010 20:17:23 GMT",
"version": "v1"
}
] |
2011-07-08
|
[
[
"Sati",
"Hisham",
""
]
] |
The equations of motion and the Bianchi identity of the C-field in M-theory are encoded in terms of the signature operator. We then reformulate the topological part of the action in M-theory using the signature, which leads to connections to the geometry of the underlying manifold, including positive scalar curvature. This results in a variation on the miraculous cancellation formula of Alvarez-Gaum\'e and Witten in twelve dimensions and leads naturally to the Kreck-Stolz s-invariant in eleven dimensions. Hence M-theory detects diffeomorphism type of eleven-dimensional (and seven-dimensional) manifolds, and in the restriction to parallelizable manifolds classifies topological eleven-spheres. Furthermore, requiring the phase of the partition function to be anomaly-free imposes restrictions on allowed values of the s-invariant. Relating to string theory in ten dimensions amounts to viewing the bounding theory as a disk bundle, for which we study the corresponding phase in this formulation.
| 15.420463
| 16.63517
| 18.197355
| 15.799802
| 15.924374
| 17.564068
| 16.591734
| 16.892174
| 14.650409
| 19.980526
| 15.631597
| 14.83453
| 15.819089
| 15.108261
| 14.849024
| 14.636744
| 14.721522
| 15.059269
| 15.203315
| 16.071127
| 14.571936
|
1505.05861
|
Yifan Wang
|
Yifan Wang, Xi Yin
|
Supervertices and Non-renormalization Conditions in Maximal Supergravity
Theories
|
52 pages, 6 figures, reference added, section 3 expanded and section
5 restructured
| null | null |
MIT-CTP/4673
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct higher derivative supervertices in an effective theory of
maximal supergravity in various dimensions, in the super spinor helicity
formalism, and derive non-renormalization conditions on up to 14-derivative
order couplings from supersymmetry. These non-renormalization conditions
include Laplace type equations on the coefficients of $R^4$, $D^4R^4$, and
$D^6R^4$ couplings. We also find additional constraining equations, which are
consistent with previously known results in the effective action of toroidally
compactified type II string theory, and elucidate many features thereof.
|
[
{
"created": "Thu, 21 May 2015 19:53:06 GMT",
"version": "v1"
},
{
"created": "Fri, 29 May 2015 16:27:04 GMT",
"version": "v2"
}
] |
2015-06-01
|
[
[
"Wang",
"Yifan",
""
],
[
"Yin",
"Xi",
""
]
] |
We construct higher derivative supervertices in an effective theory of maximal supergravity in various dimensions, in the super spinor helicity formalism, and derive non-renormalization conditions on up to 14-derivative order couplings from supersymmetry. These non-renormalization conditions include Laplace type equations on the coefficients of $R^4$, $D^4R^4$, and $D^6R^4$ couplings. We also find additional constraining equations, which are consistent with previously known results in the effective action of toroidally compactified type II string theory, and elucidate many features thereof.
| 10.267226
| 8.329058
| 11.445454
| 8.630238
| 8.47063
| 8.893843
| 8.729752
| 8.115186
| 8.750676
| 10.874454
| 9.008979
| 9.134096
| 10.534462
| 9.096034
| 9.20707
| 9.000017
| 9.077848
| 8.902167
| 9.419944
| 10.443568
| 9.11181
|
1908.05221
|
Yvonne Geyer
|
Yvonne Geyer, Ricardo Monteiro, Ricardo Stark-Much\~ao
|
Two-Loop Scattering Amplitudes: Double-Forward Limit and
Colour-Kinematics Duality
|
32 pages plus appendices, 17 figures
| null |
10.1007/JHEP12(2019)049
|
QMUL-PH-19-18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose new formulae for the two-loop n-point D-dimensional integrands of
scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are
written as a double-forward limit of tree-level trivalent diagrams, and are
inferred from the formalism of the two-loop scattering equations. We discuss
the relationship between the formulae for non-supersymmetric theories and the
Neveu-Schwarz sector of the formulae for maximally supersymmetric theories,
which can be derived from ambitwistor strings. An important property of the
loop integrands is that they are expressed in a representation that includes
linear-type propagators. This representation exhibits a loop-level version of
the colour-kinematics duality, which follows directly from tree level via the
double-forward limit.
|
[
{
"created": "Wed, 14 Aug 2019 16:50:33 GMT",
"version": "v1"
}
] |
2020-01-29
|
[
[
"Geyer",
"Yvonne",
""
],
[
"Monteiro",
"Ricardo",
""
],
[
"Stark-Muchão",
"Ricardo",
""
]
] |
We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are inferred from the formalism of the two-loop scattering equations. We discuss the relationship between the formulae for non-supersymmetric theories and the Neveu-Schwarz sector of the formulae for maximally supersymmetric theories, which can be derived from ambitwistor strings. An important property of the loop integrands is that they are expressed in a representation that includes linear-type propagators. This representation exhibits a loop-level version of the colour-kinematics duality, which follows directly from tree level via the double-forward limit.
| 8.420981
| 8.457164
| 9.721305
| 8.036674
| 8.409469
| 7.899498
| 8.243723
| 7.582787
| 8.155973
| 10.152617
| 7.816391
| 8.104231
| 8.742756
| 7.834928
| 7.945683
| 7.835518
| 7.573825
| 7.91477
| 8.163735
| 8.584929
| 7.763006
|
0812.3614
|
G\'abor Zsolt T\'oth
|
Gabor Zsolt Toth
|
Proposal to improve the behaviour of self-energy contributions to the
S-matrix
|
24 pages, 1 figure; v2: revised version; v3: section 3 improved.
Accepted for publication in Central European Journal of Physics; v4: minor
text misprints corrected
|
Central Eur.J.Phys.8:527-541,2010
|
10.2478/s11534-009-0139-0
|
SISSA 84/2008/EP
|
hep-th hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A simple modification of the definition of the S-matrix is proposed. It is
expected that the divergences related to nonzero self-energies are considerably
milder with the modified definition than with the usual one. This conjecture is
verified in a few examples using perturbation theory. The proposed formula is
written in terms of the total Hamiltonian operator and a free Hamiltonian
operator and is therefore applicable in any case when these Hamiltonian
operators are known.
|
[
{
"created": "Thu, 18 Dec 2008 18:33:06 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Feb 2009 20:07:22 GMT",
"version": "v2"
},
{
"created": "Mon, 31 Aug 2009 17:12:39 GMT",
"version": "v3"
},
{
"created": "Sat, 10 Oct 2009 11:44:58 GMT",
"version": "v4"
}
] |
2011-04-07
|
[
[
"Toth",
"Gabor Zsolt",
""
]
] |
A simple modification of the definition of the S-matrix is proposed. It is expected that the divergences related to nonzero self-energies are considerably milder with the modified definition than with the usual one. This conjecture is verified in a few examples using perturbation theory. The proposed formula is written in terms of the total Hamiltonian operator and a free Hamiltonian operator and is therefore applicable in any case when these Hamiltonian operators are known.
| 9.945044
| 9.206664
| 8.931186
| 9.470709
| 9.445143
| 10.137605
| 9.955956
| 9.260523
| 9.227032
| 10.260327
| 8.609971
| 9.038816
| 8.441593
| 8.696849
| 8.738382
| 8.768454
| 8.874441
| 8.674218
| 8.631538
| 8.796124
| 8.714254
|
hep-th/0407023
|
Alexander Sevrin
|
Alexander Sevrin
|
Prospects from Strings and Branes
|
10 pages, 5 figures, contribution to the proceedings of XXXIXth
Rencontres de Moriond on Electroweak Interactions and Unified Theories,
references added
| null | null | null |
hep-th hep-ex hep-ph
| null |
A brief, non-technical and non-exhaustive review of D(irichlet)-branes and
(some) of their applications is given.
|
[
{
"created": "Sun, 4 Jul 2004 18:38:53 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 2004 11:56:04 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sevrin",
"Alexander",
""
]
] |
A brief, non-technical and non-exhaustive review of D(irichlet)-branes and (some) of their applications is given.
| 18.601452
| 7.160102
| 9.417707
| 6.932614
| 8.35408
| 7.831213
| 7.280668
| 7.113274
| 8.203197
| 10.539112
| 9.556396
| 7.305369
| 9.582319
| 7.632027
| 7.35273
| 7.442412
| 7.162686
| 7.426782
| 7.573967
| 9.649585
| 7.716781
|
hep-th/9407096
|
Toshio Nakatsu
|
Toshio Nakatsu
|
On the string equation at $c=1$
|
17pp,INS-Rep.1043, to appear in Mod.Phys.Lett.A, Some modifications
have been performed from the view of the double scaled field theory.And also
the relation with the classical (genus 0) results is described
|
Mod.Phys.Lett.A9:3313-3324,1994
|
10.1142/S0217732394003130
| null |
hep-th
| null |
The analogue of the string equation which specifies the partition function of
$c=1$ string with a compactification radius $\beta \in \mbox{$\bf{Z}$}_{\geq 1}
$ is described in the framework of the Toda lattice hierarchy.
|
[
{
"created": "Sat, 16 Jul 1994 04:25:10 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Oct 1994 20:14:55 GMT",
"version": "v2"
}
] |
2010-11-01
|
[
[
"Nakatsu",
"Toshio",
""
]
] |
The analogue of the string equation which specifies the partition function of $c=1$ string with a compactification radius $\beta \in \mbox{$\bf{Z}$}_{\geq 1} $ is described in the framework of the Toda lattice hierarchy.
| 11.258016
| 8.765807
| 12.110487
| 9.358914
| 10.055853
| 8.0869
| 9.476356
| 8.871619
| 8.62697
| 13.354176
| 8.766629
| 9.094817
| 12.06511
| 9.393028
| 9.633712
| 9.478631
| 9.34024
| 9.572769
| 9.181149
| 10.994576
| 9.588851
|
hep-th/0102101
|
Marcelo Gomes
|
H. O. Girotti, M. Gomes, V. O. Rivelles and A. J. da Silva
|
The Noncommutative Supersymmetric Nonlinear Sigma Model
|
15 pages, 7 figures, revtex, minor modifications in the text,
references added
|
Int.J.Mod.Phys. A17 (2002) 1503-1516
|
10.1142/S0217751X02009850
| null |
hep-th
| null |
We show that the noncommutativity of space-time destroys the
renormalizability of the 1/N expansion of the O(N) Gross-Neveu model. A similar
statement holds for the noncommutative nonlinear sigma model. However, we show
that, up to the subleading order in 1/N expansion, the noncommutative
supersymmetric O(N) nonlinear sigma model becomes renormalizable in D=3. We
also show that dynamical mass generation is restored and there is no
catastrophic UV/IR mixing. Unlike the commutative case, we find that the
Lagrange multiplier fields, which enforce the supersymmetric constraints, are
also renormalized. For D=2 the divergence of the four point function of the
basic scalar field, which in D=3 is absent, cannot be eliminated by means of a
counterterm having the structure of a Moyal product.
|
[
{
"created": "Fri, 16 Feb 2001 14:52:24 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Jun 2001 18:58:54 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Girotti",
"H. O.",
""
],
[
"Gomes",
"M.",
""
],
[
"Rivelles",
"V. O.",
""
],
[
"da Silva",
"A. J.",
""
]
] |
We show that the noncommutativity of space-time destroys the renormalizability of the 1/N expansion of the O(N) Gross-Neveu model. A similar statement holds for the noncommutative nonlinear sigma model. However, we show that, up to the subleading order in 1/N expansion, the noncommutative supersymmetric O(N) nonlinear sigma model becomes renormalizable in D=3. We also show that dynamical mass generation is restored and there is no catastrophic UV/IR mixing. Unlike the commutative case, we find that the Lagrange multiplier fields, which enforce the supersymmetric constraints, are also renormalized. For D=2 the divergence of the four point function of the basic scalar field, which in D=3 is absent, cannot be eliminated by means of a counterterm having the structure of a Moyal product.
| 6.57796
| 6.549373
| 7.005019
| 6.289245
| 6.94775
| 6.569089
| 6.604806
| 6.575483
| 6.494562
| 7.417953
| 6.324386
| 6.477424
| 6.652278
| 6.190988
| 6.331071
| 6.397596
| 6.262868
| 6.424493
| 6.355657
| 6.464025
| 6.281532
|
0801.2064
|
Joseph A. Minahan
|
J. A. Minahan, O. Ohlsson Sax
|
Finite size effects for giant magnons on physical strings
|
24 pages, 7 figures; v2 typos fixed
|
Nucl.Phys.B801:97-117,2008
|
10.1016/j.nuclphysb.2008.04.018
|
UUITP-20/07
|
hep-th
| null |
Using finite gap methods, we find the leading order finite size corrections
for an arbitrary number of giant magnons on physical strings, where the sum of
the momenta is a multiple of 2\pi. Our results are valid for the
Hofman-Maldacena fundamental giant magnons as well as their dyonic
generalizations. The energy corrections turn out to be surprisingly simple,
especially if all the magnons are fundamental, and at leading order are
independent of the magnon flavors. We also show how to use the Bethe ansatz to
find finite size corrections for dyonic giant magnons with large R-charges.
|
[
{
"created": "Mon, 14 Jan 2008 20:20:20 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Feb 2008 03:30:42 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Minahan",
"J. A.",
""
],
[
"Sax",
"O. Ohlsson",
""
]
] |
Using finite gap methods, we find the leading order finite size corrections for an arbitrary number of giant magnons on physical strings, where the sum of the momenta is a multiple of 2\pi. Our results are valid for the Hofman-Maldacena fundamental giant magnons as well as their dyonic generalizations. The energy corrections turn out to be surprisingly simple, especially if all the magnons are fundamental, and at leading order are independent of the magnon flavors. We also show how to use the Bethe ansatz to find finite size corrections for dyonic giant magnons with large R-charges.
| 7.778256
| 8.184829
| 8.691201
| 7.570152
| 7.842414
| 8.419837
| 7.85933
| 7.532969
| 7.42343
| 8.695325
| 7.686092
| 7.340177
| 7.781926
| 7.259373
| 7.868393
| 7.26781
| 7.438451
| 7.587002
| 7.367576
| 7.691784
| 7.400063
|
2002.11085
|
Nathan Moynihan
|
Nathan Moynihan and Jeff Murugan
|
On-Shell Electric-Magnetic Duality and the Dual Graviton
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using on-shell amplitude methods, we explore 4-dimensional Electric-Magnetic
duality and its double copy. We show explicitly that the on-shell scattering
amplitudes know about `dual' photons (and dual gravitons), that the off-shell
photon propagator double copies to the graviton propagator and that the
magnetic part of the propagator is essential for the double copy to hold. We
also show that there is an equivalent gravito-magnetic part of the graviton
propagator which is essential in giving rise to solutions with either angular
momentum or NUT charge. Furthermore, we comment on the so-called Weinberg
paradox, which states that scattering amplitudes involving the mixing of
electric and magnetic monopoles cannot be Lorentz invariant, and would seem to
preclude the existence of the 't Hooft-Polyakov (topological) monopole. We
trace this paradox to the magnetic part of the propagator, showing that it can
be eliminated if one restricts to proper orthochronous Lorentz transformations.
Finally, we compute the fully relativistic cross-section for arbitrary spin
dyons using the recently formulated on-shell duality transformation and show
that this is always fully Lorentz invariant.
|
[
{
"created": "Tue, 25 Feb 2020 18:31:27 GMT",
"version": "v1"
}
] |
2020-02-26
|
[
[
"Moynihan",
"Nathan",
""
],
[
"Murugan",
"Jeff",
""
]
] |
Using on-shell amplitude methods, we explore 4-dimensional Electric-Magnetic duality and its double copy. We show explicitly that the on-shell scattering amplitudes know about `dual' photons (and dual gravitons), that the off-shell photon propagator double copies to the graviton propagator and that the magnetic part of the propagator is essential for the double copy to hold. We also show that there is an equivalent gravito-magnetic part of the graviton propagator which is essential in giving rise to solutions with either angular momentum or NUT charge. Furthermore, we comment on the so-called Weinberg paradox, which states that scattering amplitudes involving the mixing of electric and magnetic monopoles cannot be Lorentz invariant, and would seem to preclude the existence of the 't Hooft-Polyakov (topological) monopole. We trace this paradox to the magnetic part of the propagator, showing that it can be eliminated if one restricts to proper orthochronous Lorentz transformations. Finally, we compute the fully relativistic cross-section for arbitrary spin dyons using the recently formulated on-shell duality transformation and show that this is always fully Lorentz invariant.
| 9.116453
| 8.667424
| 8.934875
| 8.668076
| 9.619786
| 9.323799
| 9.087514
| 8.994431
| 8.847914
| 10.379414
| 8.691072
| 8.949176
| 8.595645
| 8.572137
| 8.991741
| 8.940207
| 8.890388
| 8.873445
| 8.742219
| 8.855943
| 8.701838
|
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