id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2202.11613 | Paulo Jos\'e Ferreira Porf\'irio da Silva | Adri\`a Delhom, T. Mariz, J. R. Nascimento, Gonzalo J. Olmo, A. Yu.
Petrov, P. J. Porfirio | Spontaneous Lorentz symmetry breaking and one-loop effective action in
the metric-affine bumblebee gravity | 27 pages, 1 figure, version accepted for publication to JCAP | JCAP07 (2022) 018 | 10.1088/1475-7516/2022/07/018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The metric-affine bumblebee model in the presence of fermionic matter
minimally coupled to the connection is studied. We show that the model admits
an Einstein frame representation in which the matter sector is described by a
non-minimal Dirac action without any analogy in the literature. Such
non-minimal terms involve unconventional couplings between the bumblebee and
the fermion field. We then rewrite the quadratic fermion action in the Einstein
frame in the basis of 16 Dirac matrices in order to identify the coefficients
for Lorentz/CPT violation in all orders of the non-minimal coupling $\xi$. The
exact result for the fermionic determinant in the Einstein frame, including all
orders in $\xi$, is also provided. We demonstrate that the axial contributions
are at least of second order in the perturbative expansion of $\xi$.
Furthermore, we compute the one-loop effective potential within the weak field
approximation.
| [
{
"created": "Wed, 23 Feb 2022 16:49:52 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Feb 2022 17:48:18 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jun 2022 22:41:36 GMT",
"version": "v3"
}
] | 2022-07-13 | [
[
"Delhom",
"Adrià",
""
],
[
"Mariz",
"T.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Petrov",
"A. Yu.",
""
],
[
"Porfirio",
"P. J.",
""
]
] | The metric-affine bumblebee model in the presence of fermionic matter minimally coupled to the connection is studied. We show that the model admits an Einstein frame representation in which the matter sector is described by a non-minimal Dirac action without any analogy in the literature. Such non-minimal terms involve unconventional couplings between the bumblebee and the fermion field. We then rewrite the quadratic fermion action in the Einstein frame in the basis of 16 Dirac matrices in order to identify the coefficients for Lorentz/CPT violation in all orders of the non-minimal coupling $\xi$. The exact result for the fermionic determinant in the Einstein frame, including all orders in $\xi$, is also provided. We demonstrate that the axial contributions are at least of second order in the perturbative expansion of $\xi$. Furthermore, we compute the one-loop effective potential within the weak field approximation. |
hep-th/0312310 | Alan Kostelecky | Alan Kostelecky | Gravity, Lorentz Violation, and the Standard Model | 21 pages REVTeX, references added, accepted in Physical Review D | Phys.Rev.D69:105009,2004 | 10.1103/PhysRevD.69.105009 | IUHET 461, December 2003 | hep-th astro-ph gr-qc hep-ph | null | The role of the gravitational sector in the Lorentz- and CPT-violating
Standard-Model Extension (SME) is studied. A framework is developed for
addressing this topic in the context of Riemann-Cartan spacetimes, which
include as limiting cases the usual Riemann and Minkowski geometries. The
methodology is first illustrated in the context of the QED extension in a
Riemann-Cartan background. The full SME in this background is then considered,
and the leading-order terms in the SME action involving operators of mass
dimension three and four are constructed. The incorporation of arbitrary
Lorentz and CPT violation into general relativity and other theories of gravity
based on Riemann-Cartan geometries is discussed. The dominant terms in the
effective low-energy action for the gravitational sector are provided, thereby
completing the formulation of the leading-order terms in the SME with gravity.
Explicit Lorentz symmetry breaking is found to be incompatible with generic
Riemann-Cartan geometries, but spontaneous Lorentz breaking evades this
difficulty.
| [
{
"created": "Tue, 30 Dec 2003 16:55:34 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Mar 2004 19:59:08 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Kostelecky",
"Alan",
""
]
] | The role of the gravitational sector in the Lorentz- and CPT-violating Standard-Model Extension (SME) is studied. A framework is developed for addressing this topic in the context of Riemann-Cartan spacetimes, which include as limiting cases the usual Riemann and Minkowski geometries. The methodology is first illustrated in the context of the QED extension in a Riemann-Cartan background. The full SME in this background is then considered, and the leading-order terms in the SME action involving operators of mass dimension three and four are constructed. The incorporation of arbitrary Lorentz and CPT violation into general relativity and other theories of gravity based on Riemann-Cartan geometries is discussed. The dominant terms in the effective low-energy action for the gravitational sector are provided, thereby completing the formulation of the leading-order terms in the SME with gravity. Explicit Lorentz symmetry breaking is found to be incompatible with generic Riemann-Cartan geometries, but spontaneous Lorentz breaking evades this difficulty. |
1012.2120 | Jan Gutowski | J. B. Gutowski and W. A. Sabra | Towards Cosmological Black Rings | 20 pages, latex. Minor typos corrected | null | 10.1007/JHEP05(2011)020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify all pseudo-supersymmetric near horizon geometries of extremal
black holes in five dimensional de-Sitter supergravity coupled to vector
multiplets. We find that there are three types of solution. The first type
corresponds to the near-horizon geometry of extremal de Sitter BMPV black
holes, and the spatial cross-section of the horizon is topologically S^3. The
other two solutions cannot be embedded into the minimal de-Sitter supergravity
theory, and correspond to near-horizon geometries for which the spatial
cross-sections of the horizon are T^3 or S^1 * S^2.
| [
{
"created": "Thu, 9 Dec 2010 21:02:33 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Dec 2010 09:12:45 GMT",
"version": "v2"
},
{
"created": "Fri, 13 May 2011 13:22:56 GMT",
"version": "v3"
}
] | 2015-05-20 | [
[
"Gutowski",
"J. B.",
""
],
[
"Sabra",
"W. A.",
""
]
] | We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. The first type corresponds to the near-horizon geometry of extremal de Sitter BMPV black holes, and the spatial cross-section of the horizon is topologically S^3. The other two solutions cannot be embedded into the minimal de-Sitter supergravity theory, and correspond to near-horizon geometries for which the spatial cross-sections of the horizon are T^3 or S^1 * S^2. |
1607.04642 | Kento Osuga | Kento Osuga and Don N. Page | Qubit Transport Model for Unitary Black Hole Evaporation without
Firewalls | 12 pages, LaTeX, version to be published in PRD | Phys. Rev. D 97, 066023 (2018) | 10.1103/PhysRevD.97.066023 | Alberta Thy 25-16 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give an explicit toy qubit transport model for transferring information
from the gravitational field of a black hole to the Hawking radiation by a
continuous unitary transformation of the outgoing radiation and the black hole
gravitational field. The model has no firewalls or other drama at the event
horizon, and it avoids a counterargument that has been raised for subsystem
transfer models as resolutions of the firewall paradox. Furthermore, it fits
the set of six physical constraints that Giddings has proposed for models of
black hole evaporation. It does utilize nonlocal qubits for the gravitational
field but assumes that the radiation interacts locally with these nonlocal
qubits, so in some sense the nonlocality is confined to the gravitational
sector. Although the qubit model is too crude to be quantitively correct for
the detailed spectrum of Hawking radiation, it fits qualitatively with what is
expected.
| [
{
"created": "Fri, 15 Jul 2016 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2016 23:17:03 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Jul 2016 13:13:41 GMT",
"version": "v3"
},
{
"created": "Sat, 23 Sep 2017 01:57:10 GMT",
"version": "v4"
},
{
"c... | 2018-04-04 | [
[
"Osuga",
"Kento",
""
],
[
"Page",
"Don N.",
""
]
] | We give an explicit toy qubit transport model for transferring information from the gravitational field of a black hole to the Hawking radiation by a continuous unitary transformation of the outgoing radiation and the black hole gravitational field. The model has no firewalls or other drama at the event horizon, and it avoids a counterargument that has been raised for subsystem transfer models as resolutions of the firewall paradox. Furthermore, it fits the set of six physical constraints that Giddings has proposed for models of black hole evaporation. It does utilize nonlocal qubits for the gravitational field but assumes that the radiation interacts locally with these nonlocal qubits, so in some sense the nonlocality is confined to the gravitational sector. Although the qubit model is too crude to be quantitively correct for the detailed spectrum of Hawking radiation, it fits qualitatively with what is expected. |
hep-th/0404208 | Kluson Josef | J. Kluson | A Toy Model of Closed String Tachyon Effective Action | 17 pages | Int.J.Mod.Phys. A20 (2005) 1481-1494 | 10.1142/S0217751X05020653 | null | hep-th | null | In this paper we propose the toy model of the closed string tachyon effective
action that has marginal tachyon profile as its exact solution in case of
constant or linear dilaton background. Then we will apply this model for
description of two dimensional bosonic string theory. We will find that the
background configuration with the spatial dependent linear dilaton, flat
spacetime metric and marginal tachyon profile is the exact solution of our
model even if we take into account backreaction of tachyon on dilaton and
metric.
| [
{
"created": "Tue, 27 Apr 2004 11:57:24 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Kluson",
"J.",
""
]
] | In this paper we propose the toy model of the closed string tachyon effective action that has marginal tachyon profile as its exact solution in case of constant or linear dilaton background. Then we will apply this model for description of two dimensional bosonic string theory. We will find that the background configuration with the spatial dependent linear dilaton, flat spacetime metric and marginal tachyon profile is the exact solution of our model even if we take into account backreaction of tachyon on dilaton and metric. |
2204.05621 | Yun Zhi Du | Yang Zhang, Yu-bo Ma, Yun-Zhi Du, Huai-Fan Li, Li-Chun Zhang | Phase transition and entropic force in Reissner-Nordstr\"om-de Sitter
spacetime | null | Adv.High Energy Phys. 2022 (2022) 7376502 | 10.1155/2022/7376502 | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In this paper, thermodynamic properties of the Reissner-Nordstr\"om-de Sitter
(RN-dS) black hole have been studied on the basis of the correlation between
the black hole and cosmological horizons. It is found that the RN-dS black hole
experiences a phase transition, when its state parameters satisfy certain
conditions. From the analysis of the interaction between two horizons in RN-dS
spacetime, we get the numerical solution of the interaction between two
horizons. It makes us to realize the force between the black hole and
cosmological horizons, which can be regarded as a candidate to explain our
accelerating expansion universe. That provides a new window to explore the
physical mechanism of the cosmic accelerating expansion.
| [
{
"created": "Tue, 12 Apr 2022 08:28:58 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Sep 2022 02:20:08 GMT",
"version": "v2"
}
] | 2023-02-01 | [
[
"Zhang",
"Yang",
""
],
[
"Ma",
"Yu-bo",
""
],
[
"Du",
"Yun-Zhi",
""
],
[
"Li",
"Huai-Fan",
""
],
[
"Zhang",
"Li-Chun",
""
]
] | In this paper, thermodynamic properties of the Reissner-Nordstr\"om-de Sitter (RN-dS) black hole have been studied on the basis of the correlation between the black hole and cosmological horizons. It is found that the RN-dS black hole experiences a phase transition, when its state parameters satisfy certain conditions. From the analysis of the interaction between two horizons in RN-dS spacetime, we get the numerical solution of the interaction between two horizons. It makes us to realize the force between the black hole and cosmological horizons, which can be regarded as a candidate to explain our accelerating expansion universe. That provides a new window to explore the physical mechanism of the cosmic accelerating expansion. |
hep-th/0507193 | Emil Nissimov | E.I. Guendelman and A. Kaganovich (Ben-Gurion University of the Negev,
Beer-Sheva, Israel), E. Nissimov and S. Pacheva (Institute for Nuclear
Research and Nuclear Energy, Sofia, Bulgaria) | Weyl-Conformally-Invariant Lightlike p-Brane Theories: New Aspects in
Black Hole Physics and Kaluza-Klein Dynamics | 28 pages, published version | Phys.Rev.D72:086011,2005 | 10.1103/PhysRevD.72.086011 | null | hep-th gr-qc | null | We introduce and study in some detail the properties of a novel class of
Weyl-conformally invariant p-brane theories which describe intrinsically
lightlike branes for any odd world-volume dimension. Their dynamics
significantly differs from that of the ordinary (conformally non-invariant)
Nambu-Goto p-branes. We present explicit solutions of the Weyl-invariant
lightlike brane- (WILL-brane) equations of motion in various gravitational
models of physical relevance exhibiting various new phenomena. In D=4 the
WILL-membrane serves as a material and charged source for gravity and
electromagnetism in the coupled Einstein-Maxwell-WILL-membrane system; it
automatically positions itself on (``straddles'') the common event horizon of
the corresponding matching black hole solutions, thus providing an explicit
dynamical realization of the membrane paradigm in black hole physics. In
product spaces of interest in Kaluza-Klein theories the WILL-brane wraps
non-trivially around the compact (internal)dimensions and still describes
massless mode dynamics in the non-compact (space-time) dimensions. Due to
nontrivial variable size of the internal compact dimensions we find new types
of physically interesting solutions describing massless brane modes trapped on
bounded planar circular orbits with non-trivial angular momentum, and with
linear dependence between energy and angular momentum.
| [
{
"created": "Wed, 20 Jul 2005 11:08:17 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Jul 2005 16:17:21 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Jul 2005 07:51:14 GMT",
"version": "v3"
},
{
"created": "Tue, 8 Nov 2005 11:40:47 GMT",
"version": "v4"
}
] | 2011-07-19 | [
[
"Guendelman",
"E. I.",
"",
"Ben-Gurion University of the Negev,\n Beer-Sheva, Israel"
],
[
"Kaganovich",
"A.",
"",
"Ben-Gurion University of the Negev,\n Beer-Sheva, Israel"
],
[
"Nissimov",
"E.",
"",
"Institute for Nuclear\n Research and Nuclear Energy, ... | We introduce and study in some detail the properties of a novel class of Weyl-conformally invariant p-brane theories which describe intrinsically lightlike branes for any odd world-volume dimension. Their dynamics significantly differs from that of the ordinary (conformally non-invariant) Nambu-Goto p-branes. We present explicit solutions of the Weyl-invariant lightlike brane- (WILL-brane) equations of motion in various gravitational models of physical relevance exhibiting various new phenomena. In D=4 the WILL-membrane serves as a material and charged source for gravity and electromagnetism in the coupled Einstein-Maxwell-WILL-membrane system; it automatically positions itself on (``straddles'') the common event horizon of the corresponding matching black hole solutions, thus providing an explicit dynamical realization of the membrane paradigm in black hole physics. In product spaces of interest in Kaluza-Klein theories the WILL-brane wraps non-trivially around the compact (internal)dimensions and still describes massless mode dynamics in the non-compact (space-time) dimensions. Due to nontrivial variable size of the internal compact dimensions we find new types of physically interesting solutions describing massless brane modes trapped on bounded planar circular orbits with non-trivial angular momentum, and with linear dependence between energy and angular momentum. |
1808.01894 | Mir Faizal | Mir Faizal, S. E. Korenblit, A. V. Sinitskaya, Sudhaker Upadhyay | Corrections to Scattering Processes due to Minimal Measurable Length | 10 pages, Accepted in Phys. Lett. B | Phys. Lett. B 794, 1 (2019) | 10.1016/j.physletb.2019.05.007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we will analyze the short distance corrections to low energy
scattering. They are produced because of an intrinsic extended structure of the
background geometry of spacetime. It will be observed that the deformation
produced by a minimal measurable length can have low energy consequences, if
this extended structure occurs at a scale much larger than the Planck scale. We
explicitly calculate short distance corrections to the Green function of the
deformed Lippmann-Schwinger equation, and to the conserved currents for these
processes. We then use them to analyze the pre-asymptotic corrections to the
differential scattering flux at finite macroscopically small distances.
| [
{
"created": "Wed, 1 Aug 2018 08:42:18 GMT",
"version": "v1"
},
{
"created": "Wed, 8 May 2019 09:08:01 GMT",
"version": "v2"
}
] | 2019-07-02 | [
[
"Faizal",
"Mir",
""
],
[
"Korenblit",
"S. E.",
""
],
[
"Sinitskaya",
"A. V.",
""
],
[
"Upadhyay",
"Sudhaker",
""
]
] | In this paper, we will analyze the short distance corrections to low energy scattering. They are produced because of an intrinsic extended structure of the background geometry of spacetime. It will be observed that the deformation produced by a minimal measurable length can have low energy consequences, if this extended structure occurs at a scale much larger than the Planck scale. We explicitly calculate short distance corrections to the Green function of the deformed Lippmann-Schwinger equation, and to the conserved currents for these processes. We then use them to analyze the pre-asymptotic corrections to the differential scattering flux at finite macroscopically small distances. |
2008.07722 | John R. Hiller | S.S. Chabysheva and J.R. Hiller | Casimir force on a light front | 20 pages, 2 figures; submitted to Progress in Particle and Nuclear
Physics | null | 10.1016/j.ppnp.2020.103836 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Depending on the point of view, the Casimir force arises from variation in
the energy of the quantum vacuum as boundary conditions are altered or as an
interaction between atoms in the materials that form these boundary conditions.
Standard analyses of such configurations are usually done in terms of ordinary,
equal-time (Minkowski) coordinates. However, physics is independent of the
coordinate choice, and an analysis based on light-front coordinates, where
$x^+\equiv t+z/c$ plays the role of time, is equally valid. After a brief
historical introduction, we illustrate and compare equal-time and light-front
calculations of the Casimir force.
| [
{
"created": "Tue, 18 Aug 2020 03:30:04 GMT",
"version": "v1"
}
] | 2021-02-03 | [
[
"Chabysheva",
"S. S.",
""
],
[
"Hiller",
"J. R.",
""
]
] | Depending on the point of view, the Casimir force arises from variation in the energy of the quantum vacuum as boundary conditions are altered or as an interaction between atoms in the materials that form these boundary conditions. Standard analyses of such configurations are usually done in terms of ordinary, equal-time (Minkowski) coordinates. However, physics is independent of the coordinate choice, and an analysis based on light-front coordinates, where $x^+\equiv t+z/c$ plays the role of time, is equally valid. After a brief historical introduction, we illustrate and compare equal-time and light-front calculations of the Casimir force. |
1601.06443 | Patrick Concha | P.K. Concha, R. Durka, N. Merino, E.K. Rodr\'iguez | New family of Maxwell like algebras | v2, 12 pages, version accepted for publication in Physics Letters B | null | 10.1016/j.physletb.2016.06.016 | UAI-PHY-16/01 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce an alternative way of closing Maxwell like algebras. We show,
through a suitable change of basis, that resulting algebras are given by the
direct sums of the AdS and the Maxwell algebras already known in the
literature. Casting the result into the $S$-expansion method framework ensures
the straightaway construction of the gravity theories based on a found
enlargement.
| [
{
"created": "Sun, 24 Jan 2016 22:51:08 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Jun 2016 15:29:55 GMT",
"version": "v2"
}
] | 2016-06-23 | [
[
"Concha",
"P. K.",
""
],
[
"Durka",
"R.",
""
],
[
"Merino",
"N.",
""
],
[
"Rodríguez",
"E. K.",
""
]
] | We introduce an alternative way of closing Maxwell like algebras. We show, through a suitable change of basis, that resulting algebras are given by the direct sums of the AdS and the Maxwell algebras already known in the literature. Casting the result into the $S$-expansion method framework ensures the straightaway construction of the gravity theories based on a found enlargement. |
hep-th/0703134 | Volker Braun | Volker Braun, Maximilian Kreuzer, Burt A. Ovrut, Emanuel Scheidegger | Worldsheet Instantons, Torsion Curves, and Non-Perturbative
Superpotentials | 14 pages, LaTeX | Phys.Lett.B649:334-341,2007 | 10.1016/j.physletb.2007.03.066 | UPR 1179-T, DISTA-2007, TUW-07-05 | hep-th | null | As a first step towards computing instanton-generated superpotentials in
heterotic standard model vacua, we determine the Gromov-Witten invariants for a
Calabi-Yau threefold with fundamental group pi_1(X)=Z_3 x Z_3. We find that the
curves fall into homology classes in H_2(X,Z)=Z^3+(Z_3+Z_3). The unexpected
appearance of the finite torsion subgroup in the homology group complicates our
analysis. However, we succeed in computing the complete genus-0 prepotential.
Expanding it as a power series, the number of instantons in any integral
homology class can be read off. This is the first explicit calculation of the
Gromov-Witten invariants of homology classes with torsion. We find that some
curve classes contain only a single instanton. This ensures that the
contribution to the superpotential from each such instanton cannot cancel.
| [
{
"created": "Wed, 14 Mar 2007 18:29:09 GMT",
"version": "v1"
}
] | 2009-12-07 | [
[
"Braun",
"Volker",
""
],
[
"Kreuzer",
"Maximilian",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Scheidegger",
"Emanuel",
""
]
] | As a first step towards computing instanton-generated superpotentials in heterotic standard model vacua, we determine the Gromov-Witten invariants for a Calabi-Yau threefold with fundamental group pi_1(X)=Z_3 x Z_3. We find that the curves fall into homology classes in H_2(X,Z)=Z^3+(Z_3+Z_3). The unexpected appearance of the finite torsion subgroup in the homology group complicates our analysis. However, we succeed in computing the complete genus-0 prepotential. Expanding it as a power series, the number of instantons in any integral homology class can be read off. This is the first explicit calculation of the Gromov-Witten invariants of homology classes with torsion. We find that some curve classes contain only a single instanton. This ensures that the contribution to the superpotential from each such instanton cannot cancel. |
1911.11188 | Sunny Guha | Sunny Guha and Kallol Sen | Relating diagrammatic expansion with conformal correlator expansion | 34 pages, 3 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note we study the possible connection between functions appearing in
diagrammatic expansion and the conformal correlator expansion. To study the
connection we propose a generating function which can be expanded to construct
a basis. This basis can be utilized to expand, I) the four point function of
scalars near the Wilson-Fisher fixed point in $d=4-\epsilon$ as in
\cite{Alday:2017zzv} and II) integrals for loop diagrams for massless $\phi^4$
theory in position space in four dimensions. This suggests that a linear
combination of one expansion can be recast in terms of a linear combination of
the other. As a by-product, we also derive the Mellin space representation for
the twist-2 higher spin conformal blocks. We also discuss the higher derivative
contact terms in the present scenario.
| [
{
"created": "Mon, 25 Nov 2019 19:42:12 GMT",
"version": "v1"
}
] | 2019-11-27 | [
[
"Guha",
"Sunny",
""
],
[
"Sen",
"Kallol",
""
]
] | In this note we study the possible connection between functions appearing in diagrammatic expansion and the conformal correlator expansion. To study the connection we propose a generating function which can be expanded to construct a basis. This basis can be utilized to expand, I) the four point function of scalars near the Wilson-Fisher fixed point in $d=4-\epsilon$ as in \cite{Alday:2017zzv} and II) integrals for loop diagrams for massless $\phi^4$ theory in position space in four dimensions. This suggests that a linear combination of one expansion can be recast in terms of a linear combination of the other. As a by-product, we also derive the Mellin space representation for the twist-2 higher spin conformal blocks. We also discuss the higher derivative contact terms in the present scenario. |
1406.7828 | Johannes Henn | Andrey Grozin, Johannes M. Henn, Gregory P. Korchemsky, Peter Marquard | The $n_{f}$ terms of the three-loop cusp anomalous dimension in QCD | 8 pages, 2 figures; v2: typo in eq. (4.4) fixed, 'three-loop' added
to title | null | null | IPhT-T14-093;DESY 14-113;LPN14-080;SFB/CPP-14-33 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this talk we present the result for the $n_f$ dependent piece of the
three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by
the same simple functions appearing in analogous anomalous dimensions in
${\mathcal N}=4$ SYM at one and two loops. We also compute all required master
integrals using a recently proposed refinement of the differential equation
method. The analytic results are expressed in terms of harmonic polylogarithms
of uniform weight.
| [
{
"created": "Mon, 30 Jun 2014 17:42:19 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Aug 2014 08:48:28 GMT",
"version": "v2"
}
] | 2014-08-21 | [
[
"Grozin",
"Andrey",
""
],
[
"Henn",
"Johannes M.",
""
],
[
"Korchemsky",
"Gregory P.",
""
],
[
"Marquard",
"Peter",
""
]
] | In this talk we present the result for the $n_f$ dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in ${\mathcal N}=4$ SYM at one and two loops. We also compute all required master integrals using a recently proposed refinement of the differential equation method. The analytic results are expressed in terms of harmonic polylogarithms of uniform weight. |
hep-th/0106258 | Tim Morris | Stefano Arnone, Yuri A. Kubyshin, Tim R. Morris and John F. Tighe | Gauge invariant regularisation via SU(N|N) | Latex, 43 pages, extended to explain ERG context, preregularisation
and why it is unecessary in less than 4 dimensions or at infinite N, and
explain issues in early attempts at gauge invariant Pauli Villars
regularisation | Int.J.Mod.Phys. A17 (2002) 2283-2330 | 10.1142/S0217751X02009722 | SHEP 01-15 | hep-th cond-mat hep-lat hep-ph | null | We construct a gauge invariant regularisation scheme for pure SU(N)
Yang-Mills theory in fixed dimension four or less (for N = infinity in all
dimensions), with a physical cutoff scale Lambda, by using covariant higher
derivatives and spontaneously broken SU(N|N) supergauge invariance. Providing
their powers are within certain ranges, the covariant higher derivatives cure
the superficial divergence of all but a set of one-loop graphs. The finiteness
of these latter graphs is ensured by properties of the supergroup and gauge
invariance. In the limit Lambda tends to infinity, all the regulator fields
decouple and unitarity is recovered in the renormalized pure SU(N) Yang-Mills
theory. By demonstrating these properties, we prove that the regularisation
works to all orders in perturbation theory.
| [
{
"created": "Wed, 27 Jun 2001 16:35:41 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Nov 2001 19:12:44 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Arnone",
"Stefano",
""
],
[
"Kubyshin",
"Yuri A.",
""
],
[
"Morris",
"Tim R.",
""
],
[
"Tighe",
"John F.",
""
]
] | We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and spontaneously broken SU(N|N) supergauge invariance. Providing their powers are within certain ranges, the covariant higher derivatives cure the superficial divergence of all but a set of one-loop graphs. The finiteness of these latter graphs is ensured by properties of the supergroup and gauge invariance. In the limit Lambda tends to infinity, all the regulator fields decouple and unitarity is recovered in the renormalized pure SU(N) Yang-Mills theory. By demonstrating these properties, we prove that the regularisation works to all orders in perturbation theory. |
2305.07701 | Damian van de Heisteeg | Damian van de Heisteeg, Cumrun Vafa, Max Wiesner, David H. Wu | Bounds on Field Range for Slowly Varying Positive Potentials | v2: 15 pages, 4 figures, references updated | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the context of quantum gravitational systems, we place bounds on regions
in field space with slowly varying positive potentials. Using the fact that
$V<\Lambda_s^2$, where $\Lambda_s(\phi)$ is the species scale, and the emergent
string conjecture, we show this places a bound on the maximum diameter of such
regions in field space: $\Delta \phi \leq a \log(1/V) +b$ in Planck units,
where $a\leq \sqrt{(d-1)(d-2)}$, and $b$ is an $\mathcal{O}(1)$ number and
expected to be negative. The coefficient of the logarithmic term has previously
been derived using TCC, providing further confirmation. For type II string flux
compactifications on Calabi--Yau threefolds, using the recent results on the
moduli dependence of the species scale, we can check the above relation and
determine the constant $b$, which we verify is $\mathcal{O}(1)$ and negative in
all the examples we studied.
| [
{
"created": "Fri, 12 May 2023 18:00:10 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jun 2023 15:14:20 GMT",
"version": "v2"
}
] | 2023-06-13 | [
[
"van de Heisteeg",
"Damian",
""
],
[
"Vafa",
"Cumrun",
""
],
[
"Wiesner",
"Max",
""
],
[
"Wu",
"David H.",
""
]
] | In the context of quantum gravitational systems, we place bounds on regions in field space with slowly varying positive potentials. Using the fact that $V<\Lambda_s^2$, where $\Lambda_s(\phi)$ is the species scale, and the emergent string conjecture, we show this places a bound on the maximum diameter of such regions in field space: $\Delta \phi \leq a \log(1/V) +b$ in Planck units, where $a\leq \sqrt{(d-1)(d-2)}$, and $b$ is an $\mathcal{O}(1)$ number and expected to be negative. The coefficient of the logarithmic term has previously been derived using TCC, providing further confirmation. For type II string flux compactifications on Calabi--Yau threefolds, using the recent results on the moduli dependence of the species scale, we can check the above relation and determine the constant $b$, which we verify is $\mathcal{O}(1)$ and negative in all the examples we studied. |
hep-th/9707262 | Bernard de Wit | J. De Jaegher, B. de Wit, B. Kleijn and S. Vandoren | Special geometry in hypermultiplets | Latex 36 pp. A few minor corrections | Nucl.Phys. B514 (1998) 553-582 | 10.1016/S0550-3213(97)00752-9 | KUL-TF-97/14, THU-97/09, SWAT-97/150 | hep-th | null | We give a detailed analysis of pairs of vector and hypermultiplet theories
with N=2 supersymmetry in four spacetime dimensions that are related by the
(classical) mirror map. The symplectic reparametrizations of the special
K\"ahler space associated with the vector multiplets induce corresponding
transformations on the hypermultiplets. We construct the Sp(1)$\times$Sp($n$)
one-forms in terms of which the hypermultiplet couplings are encoded and
exhibit their behaviour under symplectic reparametrizations. Both vector and
hypermultiplet theories allow vectorial central charges in the supersymmetry
algebra associated with integrals over the K\"ahler and hyper-K\"ahler forms,
respectively. We show how these charges and the holomorphic BPS mass are
related by the mirror map.
| [
{
"created": "Thu, 31 Jul 1997 19:33:02 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 1998 21:26:31 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"De Jaegher",
"J.",
""
],
[
"de Wit",
"B.",
""
],
[
"Kleijn",
"B.",
""
],
[
"Vandoren",
"S.",
""
]
] | We give a detailed analysis of pairs of vector and hypermultiplet theories with N=2 supersymmetry in four spacetime dimensions that are related by the (classical) mirror map. The symplectic reparametrizations of the special K\"ahler space associated with the vector multiplets induce corresponding transformations on the hypermultiplets. We construct the Sp(1)$\times$Sp($n$) one-forms in terms of which the hypermultiplet couplings are encoded and exhibit their behaviour under symplectic reparametrizations. Both vector and hypermultiplet theories allow vectorial central charges in the supersymmetry algebra associated with integrals over the K\"ahler and hyper-K\"ahler forms, respectively. We show how these charges and the holomorphic BPS mass are related by the mirror map. |
hep-th/9912187 | Jing Wang | Mirjam Cvetic and Jing Wang | Vacuum Domain Walls in D-dimensions: Local and Global Space-Time
Structure | 20 pages, 16 figures | Phys.Rev.D61:124020,2000 | 10.1103/PhysRevD.61.124020 | null | hep-th gr-qc hep-ph | null | We study local and global gravitational effects of (D-2)-brane configurations
(domain-walls) in the vacuum of D-dimensional space-time. We focus on
infinitely thin vacuum domain walls with arbitrary cosmological constants on
either side of the wall. In the comoving frame of the wall we derive a general
metric Ansatz, consistent with the homogeneity and isotropy of the space-time
intrinsic to the wall, and employ Israel's matching conditions at the wall. The
space-time, intrinsic to the wall, is that of (D-1)-dimensional
Freedman-Lemaitre-Robertson-Walker universe (with k=-1,0,1) which has a (local)
description as either anti-deSitter, Minkowski or deSitter space-time. For each
of these geometries, we provide a systematic classification of the local and
global space-time structure transverse to the walls, for those with both
positive and negative tension; they fall into different classes according to
the values of their energy density relative to that of the extreme
(superysmmetric) configurations. We find that in any dimension D, both local
and global space-time structure for each class of domain-walls is universal. We
also comment on the phenomenological implications of these walls in the special
case of D=5.
| [
{
"created": "Tue, 21 Dec 1999 20:49:05 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Cvetic",
"Mirjam",
""
],
[
"Wang",
"Jing",
""
]
] | We study local and global gravitational effects of (D-2)-brane configurations (domain-walls) in the vacuum of D-dimensional space-time. We focus on infinitely thin vacuum domain walls with arbitrary cosmological constants on either side of the wall. In the comoving frame of the wall we derive a general metric Ansatz, consistent with the homogeneity and isotropy of the space-time intrinsic to the wall, and employ Israel's matching conditions at the wall. The space-time, intrinsic to the wall, is that of (D-1)-dimensional Freedman-Lemaitre-Robertson-Walker universe (with k=-1,0,1) which has a (local) description as either anti-deSitter, Minkowski or deSitter space-time. For each of these geometries, we provide a systematic classification of the local and global space-time structure transverse to the walls, for those with both positive and negative tension; they fall into different classes according to the values of their energy density relative to that of the extreme (superysmmetric) configurations. We find that in any dimension D, both local and global space-time structure for each class of domain-walls is universal. We also comment on the phenomenological implications of these walls in the special case of D=5. |
1607.02448 | Greger Torgrimsson | Greger Torgrimsson, Johannes Oertel, Ralf Sch\"utzhold | Doubly assisted Sauter-Schwinger effect | 5 pages. Version 2: reference and figures added | Phys. Rev. D 94, 065035 (2016) | 10.1103/PhysRevD.94.065035 | null | hep-th hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study electron-positron pair creation by a strong and slowly varying
electric field, assisted by a weaker and more rapidly changing field (e.g., in
the keV regime) plus an additional high-energy (say MeV) photon. It turns out
that this combination can yield a pair creation probability which is
exponentially larger than in the case where one (or more) of the three
ingredients is missing. Apart from a deeper understanding of these
non-perturbative phenomena, this double enhancement may pave the way for an
experimental verification of this fundamental prediction.
| [
{
"created": "Fri, 8 Jul 2016 16:53:24 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Oct 2016 15:57:48 GMT",
"version": "v2"
}
] | 2016-10-21 | [
[
"Torgrimsson",
"Greger",
""
],
[
"Oertel",
"Johannes",
""
],
[
"Schützhold",
"Ralf",
""
]
] | We study electron-positron pair creation by a strong and slowly varying electric field, assisted by a weaker and more rapidly changing field (e.g., in the keV regime) plus an additional high-energy (say MeV) photon. It turns out that this combination can yield a pair creation probability which is exponentially larger than in the case where one (or more) of the three ingredients is missing. Apart from a deeper understanding of these non-perturbative phenomena, this double enhancement may pave the way for an experimental verification of this fundamental prediction. |
hep-th/0012060 | Alan Kostelecky | Alan Kostelecky and Ralf Lehnert | Stability, Causality, and Lorentz and CPT Violation | 20 pages, accepted for publication in Physical Review D | Phys.Rev.D63:065008,2001 | 10.1103/PhysRevD.63.065008 | IUHET 427, October 2000 | hep-th hep-ph | null | Stability and causality are investigated for quantum field theories
incorporating Lorentz and CPT violation. Explicit calculations in the quadratic
sector of a general renormalizable lagrangian for a massive fermion reveal that
no difficulty arises for low energies if the parameters controlling the
breaking are small, but for high energies either energy positivity or
microcausality is violated in some observer frame. However, this can be avoided
if the lagrangian is the sub-Planck limit of a nonlocal theory with spontaneous
Lorentz and CPT violation. Our analysis supports the stability and causality of
the Lorentz- and CPT-violating standard-model extension that would emerge at
low energies from spontaneous breaking in a realistic string theory.
| [
{
"created": "Thu, 7 Dec 2000 18:12:59 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Kostelecky",
"Alan",
""
],
[
"Lehnert",
"Ralf",
""
]
] | Stability and causality are investigated for quantum field theories incorporating Lorentz and CPT violation. Explicit calculations in the quadratic sector of a general renormalizable lagrangian for a massive fermion reveal that no difficulty arises for low energies if the parameters controlling the breaking are small, but for high energies either energy positivity or microcausality is violated in some observer frame. However, this can be avoided if the lagrangian is the sub-Planck limit of a nonlocal theory with spontaneous Lorentz and CPT violation. Our analysis supports the stability and causality of the Lorentz- and CPT-violating standard-model extension that would emerge at low energies from spontaneous breaking in a realistic string theory. |
2312.16396 | Anton Pribytok | Dmitri Bykov, Anton Pribytok | Supersymmetric deformation of the $ \mathbb{CP}^{1} $ model and its
conformal limits | 40 pages, 11 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We prove that the supersymmetric deformed $ \mathbb{CP}^{1} $ sigma model
(the generalization of the Fateev-Onofri-Zamolodchikov model) admits an
equivalent description as a generalized Gross-Neveu model. This formalism is
useful for the study of renormalization properties and particularly for
calculation of the one- and two-loop $ \beta $-function. We show that in the UV
the superdeformed model flows to the super-Thirring CFT, for which we also
develop a superspace approach. It is then demonstrated that the super-Thirring
model is equivalent to a sigma model with the cylinder $ \mathbb{R} \times
S^{1} $ target space by an explicit computation of the correlation functions on
both sides. Apart from that, we observe that the original model has another
interesting conformal limit, given by the supercigar model, which as well could
be described in the Gross-Neveu approach.
| [
{
"created": "Wed, 27 Dec 2023 03:56:08 GMT",
"version": "v1"
}
] | 2023-12-29 | [
[
"Bykov",
"Dmitri",
""
],
[
"Pribytok",
"Anton",
""
]
] | We prove that the supersymmetric deformed $ \mathbb{CP}^{1} $ sigma model (the generalization of the Fateev-Onofri-Zamolodchikov model) admits an equivalent description as a generalized Gross-Neveu model. This formalism is useful for the study of renormalization properties and particularly for calculation of the one- and two-loop $ \beta $-function. We show that in the UV the superdeformed model flows to the super-Thirring CFT, for which we also develop a superspace approach. It is then demonstrated that the super-Thirring model is equivalent to a sigma model with the cylinder $ \mathbb{R} \times S^{1} $ target space by an explicit computation of the correlation functions on both sides. Apart from that, we observe that the original model has another interesting conformal limit, given by the supercigar model, which as well could be described in the Gross-Neveu approach. |
hep-th/9906071 | Bert Schroer | Bert Schroer (CBPF, Rio de Janeiro) | Modular Theory and Eyvind Wichmann's Contributions to modern Particle
Physics Theory | A rogue address which entered chapter 2 has since been omitted. 21
pages, tcilatex, to be published in a special Festschrift volume, dedicated
to Prof. E. Wichmann on the occasion of his seventieth birthday | null | null | null | hep-th gr-qc math-ph math.MP | null | Some of the consequences of Eyvind Wichmann's contributions to modular theory
and the QFT phase-space structure are presented. In order to show the power of
those ideas in contemporary problems, I selected the issue of algebraic
holography as well as a new nonperturbative constructive approach (based on the
modular structur of wedge-localized algebras and modular inclusions) and show
that these ideas are recent consequences of the pathbreaking work which
Wichmann together with his collaborator Bisognano initiated in the mid
70$^{ies}.
| [
{
"created": "Wed, 9 Jun 1999 16:36:07 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jun 1999 20:43:00 GMT",
"version": "v2"
},
{
"created": "Wed, 16 Jun 1999 16:38:14 GMT",
"version": "v3"
}
] | 2007-05-23 | [
[
"Schroer",
"Bert",
"",
"CBPF, Rio de Janeiro"
]
] | Some of the consequences of Eyvind Wichmann's contributions to modular theory and the QFT phase-space structure are presented. In order to show the power of those ideas in contemporary problems, I selected the issue of algebraic holography as well as a new nonperturbative constructive approach (based on the modular structur of wedge-localized algebras and modular inclusions) and show that these ideas are recent consequences of the pathbreaking work which Wichmann together with his collaborator Bisognano initiated in the mid 70$^{ies}. |
hep-th/0305221 | Yuri Aisaka | Yuri Aisaka and Yoichi Kazama | Operator Mapping between RNS and Extended Pure Spinor Formalisms for
Superstring | 31 pages, no figure; a new subsection 5.2 on the proper Hilbert space
and cohomology added, together with other minor corrections; published
version | JHEP 0308 (2003) 047 | 10.1088/1126-6708/2003/08/047 | UT-Komaba 03-9 | hep-th | null | An explicit operator mapping in the form of a similarity transformation is
constructed between the RNS formalism and an extension of the pure spinor
formalism (to be called EPS formalism) recently proposed by the present
authors. Due to the enlarged field space of the EPS formalism, where the pure
spinor constraints are removed, the mapping is completely well-defined in
contrast to the one given previously by Berkovits in the original pure spinor
(PS) formalism. This map provides a direct demonstration of the equivalence of
the cohomologies of the RNS and the EPS formalisms and is expected to be useful
for better understanding of various properties of the PS and EPS formalisms.
Furthermore, the method of construction, which makes systematic use of the
nilpotency of the BRST charges, should find a variety of applications.
| [
{
"created": "Mon, 26 May 2003 08:38:38 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Aug 2003 10:25:31 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Aisaka",
"Yuri",
""
],
[
"Kazama",
"Yoichi",
""
]
] | An explicit operator mapping in the form of a similarity transformation is constructed between the RNS formalism and an extension of the pure spinor formalism (to be called EPS formalism) recently proposed by the present authors. Due to the enlarged field space of the EPS formalism, where the pure spinor constraints are removed, the mapping is completely well-defined in contrast to the one given previously by Berkovits in the original pure spinor (PS) formalism. This map provides a direct demonstration of the equivalence of the cohomologies of the RNS and the EPS formalisms and is expected to be useful for better understanding of various properties of the PS and EPS formalisms. Furthermore, the method of construction, which makes systematic use of the nilpotency of the BRST charges, should find a variety of applications. |
1810.11808 | Yusuke Nishida | Takuya Furusawa and Yusuke Nishida | Boson-fermion duality in four dimensions | 7 pages, 1 figure; published version | Phys. Rev. D 99, 101701 (2019) | 10.1103/PhysRevD.99.101701 | null | hep-th cond-mat.stat-mech cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Dualities provide deep insight into physics by relating two seemingly
distinct theories. Here we propose and elaborate on a novel duality between
bosonic and fermionic theories in four spacetime dimensions. Starting with a
Euclidean lattice action consisting of bosonic and fermionic degrees of freedom
and integrating out one of them alternatively, we derive a UV duality between a
Wilson fermion with self-interactions and an XY model coupled to a compact U(1)
gauge field. We find a continuous phase transition between topological and
trivial insulators on the fermion side corresponding to Higgs and confinement
phases on the boson side. The continuum limit of each lattice theory then leads
to an IR duality between a free Dirac fermion and a scalar QED with the vacuum
angle $\pi$. The resulting bosonic theory proves to incorporate a scalar boson
and dyons as low-energy degrees of freedom and it is their three-body composite
that realizes the Dirac fermion of the fermionic theory.
| [
{
"created": "Sun, 28 Oct 2018 13:12:47 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2019 16:40:10 GMT",
"version": "v2"
}
] | 2019-05-15 | [
[
"Furusawa",
"Takuya",
""
],
[
"Nishida",
"Yusuke",
""
]
] | Dualities provide deep insight into physics by relating two seemingly distinct theories. Here we propose and elaborate on a novel duality between bosonic and fermionic theories in four spacetime dimensions. Starting with a Euclidean lattice action consisting of bosonic and fermionic degrees of freedom and integrating out one of them alternatively, we derive a UV duality between a Wilson fermion with self-interactions and an XY model coupled to a compact U(1) gauge field. We find a continuous phase transition between topological and trivial insulators on the fermion side corresponding to Higgs and confinement phases on the boson side. The continuum limit of each lattice theory then leads to an IR duality between a free Dirac fermion and a scalar QED with the vacuum angle $\pi$. The resulting bosonic theory proves to incorporate a scalar boson and dyons as low-energy degrees of freedom and it is their three-body composite that realizes the Dirac fermion of the fermionic theory. |
1907.00054 | Rubens R. S. Oliveira | R. R. S. Oliveira | Topological and noninertial effects in an Aharonov-Bohm ring | 15 pages, no figure. arXiv admin note: text overlap with
arXiv:1906.07369 | null | 10.1007/s10714-019-2606-2 | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we study the influence of topological and noninertial effects
on a Dirac particle confined in an Aharonov-Bohm (AB) ring. Next, we explicitly
determine the Dirac spinor and the energy spectrum for the relativistic bound
states. We observe that this spectrum depends on the quantum number $n$,
magnetic flux $\Phi$ of the ring, angular velocity $\omega$ associated to the
noninertial effects of a rotating frame, and on the deficit angle $\eta$
associated to the topological effects of a cosmic string. We verified that this
spectrum is a periodic function and grows in values as a function of $n$,
$\Phi$, $\omega$, and $\eta$. In the nonrelativistic limit, we obtain the
equation of motion for the particle, where now the topological effects are
generated by a conic space. However, unlike relativistic case, the spectrum of
this equation depends linearly on the velocity $\omega$ and decreases in values
as a function of $\omega$. Comparing our results with other works, we note that
our problem generalizes some particular cases of the literature. For instance,
in the absence of the topological and noninertial effects ($\eta=1$ and
$\omega=0$) we recover the usual spectrum of a particle confined in an AB ring
($\Phi\neq{0}$) or in an 1D quantum ring ($\Phi=0$).
| [
{
"created": "Fri, 28 Jun 2019 19:45:18 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Sep 2019 22:01:49 GMT",
"version": "v2"
}
] | 2019-10-02 | [
[
"Oliveira",
"R. R. S.",
""
]
] | In this paper, we study the influence of topological and noninertial effects on a Dirac particle confined in an Aharonov-Bohm (AB) ring. Next, we explicitly determine the Dirac spinor and the energy spectrum for the relativistic bound states. We observe that this spectrum depends on the quantum number $n$, magnetic flux $\Phi$ of the ring, angular velocity $\omega$ associated to the noninertial effects of a rotating frame, and on the deficit angle $\eta$ associated to the topological effects of a cosmic string. We verified that this spectrum is a periodic function and grows in values as a function of $n$, $\Phi$, $\omega$, and $\eta$. In the nonrelativistic limit, we obtain the equation of motion for the particle, where now the topological effects are generated by a conic space. However, unlike relativistic case, the spectrum of this equation depends linearly on the velocity $\omega$ and decreases in values as a function of $\omega$. Comparing our results with other works, we note that our problem generalizes some particular cases of the literature. For instance, in the absence of the topological and noninertial effects ($\eta=1$ and $\omega=0$) we recover the usual spectrum of a particle confined in an AB ring ($\Phi\neq{0}$) or in an 1D quantum ring ($\Phi=0$). |
hep-th/0311067 | Dan Solomon | Dan Solomon | A problem with the Schwinger term in Dirac field theory | 21 pages | null | null | null | hep-th quant-ph | null | In order for Dirac theory to be gauge invariant it can be shown that the
Schwinger term must be zero. However, it can also be shown that for the vacuum
state to be the lowest energy state the Schwinger term must be nonzero.
Therefore there is an inconsistency in Dirac theory involving the evaluation of
the Schwinger term. This inconsistency is discussed along with a possible way
to resolve it.
| [
{
"created": "Fri, 7 Nov 2003 18:21:54 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Solomon",
"Dan",
""
]
] | In order for Dirac theory to be gauge invariant it can be shown that the Schwinger term must be zero. However, it can also be shown that for the vacuum state to be the lowest energy state the Schwinger term must be nonzero. Therefore there is an inconsistency in Dirac theory involving the evaluation of the Schwinger term. This inconsistency is discussed along with a possible way to resolve it. |
hep-th/9801083 | Matthias Blau | Chaouki Boulahouache, George Thompson | One Loop Effects in Various Dimensions and D-Branes | 18 pages, LaTeX | Int.J.Mod.Phys. A13 (1998) 5409-5424 | 10.1142/S0217751X98002456 | null | hep-th | null | We calculate some one loop corrections to the effective action of theories in
$d$ dimensions that arise on the dimensional reduction of a Weyl fermion in $D$
dimensions. The terms that we are interested in are of a topological nature.
Special attention is given to the effective actions of the super Yang Mills
theories that arise on dimensional reduction of the N=1 theory in six
dimensions or on the dimensional reduction of the N=1 theory in ten dimensions.
In the latter case we suggest an interpretation of the quantum effect as a
coupling of the gauge field on the brane to a relative background gauge field.
| [
{
"created": "Tue, 13 Jan 1998 15:55:22 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Boulahouache",
"Chaouki",
""
],
[
"Thompson",
"George",
""
]
] | We calculate some one loop corrections to the effective action of theories in $d$ dimensions that arise on the dimensional reduction of a Weyl fermion in $D$ dimensions. The terms that we are interested in are of a topological nature. Special attention is given to the effective actions of the super Yang Mills theories that arise on dimensional reduction of the N=1 theory in six dimensions or on the dimensional reduction of the N=1 theory in ten dimensions. In the latter case we suggest an interpretation of the quantum effect as a coupling of the gauge field on the brane to a relative background gauge field. |
hep-th/9511209 | null | R. Guida, N. Magnoli | All order I.R. finite expansion for short distance behavior of massless
theories perturbed by a relevant operator | 27 pages | Nucl.Phys. B471 (1996) 361-388 | 10.1016/0550-3213(96)00175-7 | GEF-Th12/1995 | hep-th | null | We consider here renormalizable theories without relevant couplings and
present an I.R. consistent technique to study corrections to short distance
behavior (Wilson O.P.E. coefficients) due to a relevant perturbation. Our
method is the result of a complete reformulation of recent works on the field,
and is characterized by a more orthodox treatment of U.V. divergences that
allows for simpler formulae and consequently an explicit all order
(regularization invariant) I.R. finitess proof. Underlying hypotheses are
discussed in detail and found to be satisfied in conformal theories that
constitute a natural field of application of this approach.
| [
{
"created": "Wed, 29 Nov 1995 11:55:47 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Guida",
"R.",
""
],
[
"Magnoli",
"N.",
""
]
] | We consider here renormalizable theories without relevant couplings and present an I.R. consistent technique to study corrections to short distance behavior (Wilson O.P.E. coefficients) due to a relevant perturbation. Our method is the result of a complete reformulation of recent works on the field, and is characterized by a more orthodox treatment of U.V. divergences that allows for simpler formulae and consequently an explicit all order (regularization invariant) I.R. finitess proof. Underlying hypotheses are discussed in detail and found to be satisfied in conformal theories that constitute a natural field of application of this approach. |
hep-th/9712210 | Carlos Naon | M.V.Manias, C.M.Naon and M.L.Trobo | Non-local Thirring model at finite-temperature | 23 pages, latex, no figures | Nucl.Phys. B525 (1998) 721-737 | 10.1016/S0550-3213(98)00394-0 | La Plata 97-25 | hep-th | null | We extend a recently proposed non-local and non-covariant version of the
Thirring model to the finite-temperature case. We obtain a completely bosonized
expression for the partition function, describing the thermodynamics of the
collective modes which are the underlying excitations of this system. From this
result we derive closed formulae for the free-energy, specific-heat, two-point
correlation functions and momentum distribution, as functionals of
electron-electron coupling potentials.
| [
{
"created": "Mon, 22 Dec 1997 20:10:11 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Manias",
"M. V.",
""
],
[
"Naon",
"C. M.",
""
],
[
"Trobo",
"M. L.",
""
]
] | We extend a recently proposed non-local and non-covariant version of the Thirring model to the finite-temperature case. We obtain a completely bosonized expression for the partition function, describing the thermodynamics of the collective modes which are the underlying excitations of this system. From this result we derive closed formulae for the free-energy, specific-heat, two-point correlation functions and momentum distribution, as functionals of electron-electron coupling potentials. |
hep-th/0311197 | Tsutomu Kobayashi | Tsutomu Kobayashi, Takahiro Tanaka | Bulk inflaton shadows of vacuum gravity | 22 pages, 4 figures, revtex; v2: references added | Phys.Rev. D69 (2004) 064037 | 10.1103/PhysRevD.69.064037 | KUNS-1881 | hep-th gr-qc | null | We introduce a $(5+m)$-dimensional vacuum description of five-dimensional
bulk inflaton models with exponential potentials that makes analysis of
cosmological perturbations simple and transparent. We show that various
solutions, including the power-law inflation model recently discovered by
Koyama and Takahashi, are generated from known $(5+m)$-dimensional vacuum
solutions of pure gravity. We derive master equations for all types of
perturbations, and each of them becomes a second order differential equation
for one master variable supplemented by simple boundary conditions on the
brane. One exception is the case for massive modes of scalar perturbations. In
this case, there are two independent degrees of freedom, and in general it is
difficult to disentangle them into two separate sectors.
| [
{
"created": "Fri, 21 Nov 2003 11:56:14 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2003 14:46:57 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Kobayashi",
"Tsutomu",
""
],
[
"Tanaka",
"Takahiro",
""
]
] | We introduce a $(5+m)$-dimensional vacuum description of five-dimensional bulk inflaton models with exponential potentials that makes analysis of cosmological perturbations simple and transparent. We show that various solutions, including the power-law inflation model recently discovered by Koyama and Takahashi, are generated from known $(5+m)$-dimensional vacuum solutions of pure gravity. We derive master equations for all types of perturbations, and each of them becomes a second order differential equation for one master variable supplemented by simple boundary conditions on the brane. One exception is the case for massive modes of scalar perturbations. In this case, there are two independent degrees of freedom, and in general it is difficult to disentangle them into two separate sectors. |
hep-th/9808031 | A. Kovner | Alex Kovner and Baruch Rosenstein | Strings and string breaking in 2+1 dimensional nonabelian theories | 37 pages, Latex | JHEP 9809:003,1998 | 10.1088/1126-6708/1998/09/003 | OUTP-98 59P | hep-th hep-lat | null | We consider properties of confining strings in 2+1 dimensional SU(2)
nonabelian gauge theory with the Higgs field in adjoint representation. The
analysis is carried out in the context of effective dual Lagrangian which
describes the dynamics of t'Hooft's $Z_{N}$ vorices. We point out that the same
Lagrangian should be interpreted as an effective Lagrangian for the lightest
glueballs. It is shown how the string tension for a fundamental string arises
in this description. We discuss the properties of the adjoint string and
explain how its breaking occurs when the distance between the charges exceeds a
critical value. The interaction between the fundamental strings is studied. It
is shown that they repel each other in the weak coupling regime. We argue that
in the confining regime (pure Yang-Mills theory, or a theory with a heavy Higgs
field) the strings actually attract each other and the crossover between the
two regimes corresponds to the crossover between the dual superconductors of
first and second kind.
| [
{
"created": "Thu, 6 Aug 1998 14:25:47 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Kovner",
"Alex",
""
],
[
"Rosenstein",
"Baruch",
""
]
] | We consider properties of confining strings in 2+1 dimensional SU(2) nonabelian gauge theory with the Higgs field in adjoint representation. The analysis is carried out in the context of effective dual Lagrangian which describes the dynamics of t'Hooft's $Z_{N}$ vorices. We point out that the same Lagrangian should be interpreted as an effective Lagrangian for the lightest glueballs. It is shown how the string tension for a fundamental string arises in this description. We discuss the properties of the adjoint string and explain how its breaking occurs when the distance between the charges exceeds a critical value. The interaction between the fundamental strings is studied. It is shown that they repel each other in the weak coupling regime. We argue that in the confining regime (pure Yang-Mills theory, or a theory with a heavy Higgs field) the strings actually attract each other and the crossover between the two regimes corresponds to the crossover between the dual superconductors of first and second kind. |
0709.4446 | Lotte Hollands | Robbert Dijkgraaf, Lotte Hollands, Piotr Sulkowski and Cumrun Vafa | Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions | 67 pages, 6 figures | JHEP 0802:106,2008 | 10.1088/1126-6708/2008/02/106 | null | hep-th | null | We show that various holomorphic quantities in supersymmetric gauge theories
can be conveniently computed by configurations of D4-branes and D6-branes.
These D-branes intersect along a Riemann surface that is described by a
holomorphic curve in a complex surface. The resulting I-brane carries
two-dimensional chiral fermions on its world-volume. This system can be mapped
directly to the topological string on a large class of non-compact Calabi-Yau
manifolds. Inclusion of the string coupling constant corresponds to turning on
a constant B-field on the complex surface, which makes this space
non-commutative. Including all string loop corrections the free fermion theory
is elegantly formulated in terms of holonomic D-modules that replace the
classical holomorphic curve in the quantum case.
| [
{
"created": "Thu, 27 Sep 2007 16:24:16 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Sep 2007 20:41:13 GMT",
"version": "v2"
}
] | 2011-07-19 | [
[
"Dijkgraaf",
"Robbert",
""
],
[
"Hollands",
"Lotte",
""
],
[
"Sulkowski",
"Piotr",
""
],
[
"Vafa",
"Cumrun",
""
]
] | We show that various holomorphic quantities in supersymmetric gauge theories can be conveniently computed by configurations of D4-branes and D6-branes. These D-branes intersect along a Riemann surface that is described by a holomorphic curve in a complex surface. The resulting I-brane carries two-dimensional chiral fermions on its world-volume. This system can be mapped directly to the topological string on a large class of non-compact Calabi-Yau manifolds. Inclusion of the string coupling constant corresponds to turning on a constant B-field on the complex surface, which makes this space non-commutative. Including all string loop corrections the free fermion theory is elegantly formulated in terms of holonomic D-modules that replace the classical holomorphic curve in the quantum case. |
2405.16920 | Daniele Bielli | Ignatios Antoniadis, Daniele Bielli, Auttakit Chatrabhuti, Hiroshi
Isono | Thin-wall vacuum decay in the presence of a compact dimension | 26 pages, 2 figures | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the problem of false vacuum decay in arbitrary dimensions, in the
presence of gravity, and compute the transition probability within the
thin-wall approximation, generalising the results of Coleman and de Luccia. In
the particular case of one compact dimension, we present explicit formulae for
the Euclidean Bounce configuration that drives the transition from a de Sitter
to Minkowski or from a Minkowski to anti-de Sitter vacua.
| [
{
"created": "Mon, 27 May 2024 08:12:35 GMT",
"version": "v1"
}
] | 2024-05-28 | [
[
"Antoniadis",
"Ignatios",
""
],
[
"Bielli",
"Daniele",
""
],
[
"Chatrabhuti",
"Auttakit",
""
],
[
"Isono",
"Hiroshi",
""
]
] | We study the problem of false vacuum decay in arbitrary dimensions, in the presence of gravity, and compute the transition probability within the thin-wall approximation, generalising the results of Coleman and de Luccia. In the particular case of one compact dimension, we present explicit formulae for the Euclidean Bounce configuration that drives the transition from a de Sitter to Minkowski or from a Minkowski to anti-de Sitter vacua. |
2011.01587 | Alessandro Pini | Thomas Bourton, Alessandro Pini, Elli Pomoni | The Coulomb and Higgs Branches of $\mathcal{N}=1$ Theories of Class
$\mathcal{S}_k$ | 58 pages | null | 10.1007/JHEP02(2021)137 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Even though for generic $\mathcal{N}=1$ theories it is not possible to
separate distinct branches of supersymmetric vacua, in this paper we study a
special class of $\mathcal{N}=1$ SCFTs, these of Class $\mathcal{S}_k$ for
which it is possible to define Coulomb and Higgs branches precisely as for the
$\mathcal{N}=2$ theories of Class $\mathcal{S}$ from which they descend. We
study the BPS operators that parameterise these branches of vacua using the
different limits of the superconformal index as well as the Coulomb and Higgs
branch Hilbert Series. Finally, with the tools we have developed, we provide a
check that six dimensional $(1,1)$ Little String theory can be deconstructed
from a toroidal quiver in class $\mathcal{S}_k$
| [
{
"created": "Tue, 3 Nov 2020 09:38:09 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jan 2021 08:27:27 GMT",
"version": "v2"
}
] | 2021-03-17 | [
[
"Bourton",
"Thomas",
""
],
[
"Pini",
"Alessandro",
""
],
[
"Pomoni",
"Elli",
""
]
] | Even though for generic $\mathcal{N}=1$ theories it is not possible to separate distinct branches of supersymmetric vacua, in this paper we study a special class of $\mathcal{N}=1$ SCFTs, these of Class $\mathcal{S}_k$ for which it is possible to define Coulomb and Higgs branches precisely as for the $\mathcal{N}=2$ theories of Class $\mathcal{S}$ from which they descend. We study the BPS operators that parameterise these branches of vacua using the different limits of the superconformal index as well as the Coulomb and Higgs branch Hilbert Series. Finally, with the tools we have developed, we provide a check that six dimensional $(1,1)$ Little String theory can be deconstructed from a toroidal quiver in class $\mathcal{S}_k$ |
2003.07451 | Gerald V. Dunne | Ovidiu Costin and Gerald V. Dunne | Physical Resurgent Extrapolation | 11 pages, 8 figures | Physics Letters B 808, 2020, 135627 | 10.1016/j.physletb.2020.135627 | null | hep-th cond-mat.other math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Expansions of physical functions are controlled by their singularities, which
have special structure because they themselves are physical, corresponding to
instantons, caustics or saddle configurations. Resurgent asymptotics formalizes
this idea mathematically, and leads to significantly more powerful
extrapolation methods to extract physical information from a finite number of
terms of an expansion, including precise decoding of non-perturbative effects.
| [
{
"created": "Mon, 16 Mar 2020 21:51:02 GMT",
"version": "v1"
}
] | 2021-08-04 | [
[
"Costin",
"Ovidiu",
""
],
[
"Dunne",
"Gerald V.",
""
]
] | Expansions of physical functions are controlled by their singularities, which have special structure because they themselves are physical, corresponding to instantons, caustics or saddle configurations. Resurgent asymptotics formalizes this idea mathematically, and leads to significantly more powerful extrapolation methods to extract physical information from a finite number of terms of an expansion, including precise decoding of non-perturbative effects. |
1401.2807 | Mohammad Reza Mohammadi Mozaffar | Mohsen Alishahiha, Amin Faraji Astaneh, M. Reza Mohammadi Mozaffar | Thermalization in backgrounds with hyperscaling violating factor | 21 pages, v2: refs added, few comments added, typos corrected, v3: an
Appendix added, to appear in PRD | null | 10.1103/PhysRevD.90.046004 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytic solution of a Vaidya-charged black hole with a
hyperscaling violating factor in an Einstein-Maxwell-dilaton model, where the
scalar potential plays a key role in the existence of the solution. By making
use of this result, we study the process of thermalization after a global
quench in a theory which its gravitational description is provided by the
resultant solution in the case of zero charge. In particular, we probe the
system by entanglement entropy and show that it exhibits certain scaling
behaviors during the process.
| [
{
"created": "Mon, 13 Jan 2014 12:19:19 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jan 2014 09:18:44 GMT",
"version": "v2"
},
{
"created": "Tue, 12 Aug 2014 09:35:47 GMT",
"version": "v3"
}
] | 2015-06-18 | [
[
"Alishahiha",
"Mohsen",
""
],
[
"Astaneh",
"Amin Faraji",
""
],
[
"Mozaffar",
"M. Reza Mohammadi",
""
]
] | We present an analytic solution of a Vaidya-charged black hole with a hyperscaling violating factor in an Einstein-Maxwell-dilaton model, where the scalar potential plays a key role in the existence of the solution. By making use of this result, we study the process of thermalization after a global quench in a theory which its gravitational description is provided by the resultant solution in the case of zero charge. In particular, we probe the system by entanglement entropy and show that it exhibits certain scaling behaviors during the process. |
hep-th/0503022 | Romeo Brunetti | Romeo Brunetti, Klaus Fredenhagen, Stefan Hollands | A remark on alpha vacua for quantum field theories on de Sitter space | null | JHEP0505:063,2005 | 10.1088/1126-6708/2005/05/063 | null | hep-th | null | It is shown that the so-called $\alpha$-vacua which have been proposed as
candidates for states of free quantum fields on de Sitter space have infinitely
strong fluctuations for typical observables as averaged renormalized energy
momentum tensor.
| [
{
"created": "Wed, 2 Mar 2005 17:51:27 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Brunetti",
"Romeo",
""
],
[
"Fredenhagen",
"Klaus",
""
],
[
"Hollands",
"Stefan",
""
]
] | It is shown that the so-called $\alpha$-vacua which have been proposed as candidates for states of free quantum fields on de Sitter space have infinitely strong fluctuations for typical observables as averaged renormalized energy momentum tensor. |
hep-th/0609008 | Selym Villalba Selym | S. Villalba-Ch\'avez and H. P\'erez-Rojas | Has the Photon an Anomalous Magnetic Moment? | 4 pages, 2 figures | null | null | null | hep-th | null | Due to its interaction with the virtual electron-positron field in vacuum,
the photon exhibits a nonzero anomalous magnetic moment whenever it has a
nonzero transverse momentum component to an external constant magnetic field.
At low and high frequencies this anomalous magnetic moment behaves as
paramagnetic, and at energies near the first threshold of pair creation it has
a maximum value greater than twice the electron anomalous magnetic moment.
These results might be interesting in an astrophysical and cosmological
context.
| [
{
"created": "Fri, 1 Sep 2006 14:26:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Villalba-Chávez",
"S.",
""
],
[
"Pérez-Rojas",
"H.",
""
]
] | Due to its interaction with the virtual electron-positron field in vacuum, the photon exhibits a nonzero anomalous magnetic moment whenever it has a nonzero transverse momentum component to an external constant magnetic field. At low and high frequencies this anomalous magnetic moment behaves as paramagnetic, and at energies near the first threshold of pair creation it has a maximum value greater than twice the electron anomalous magnetic moment. These results might be interesting in an astrophysical and cosmological context. |
hep-th/9508069 | Ni Guang-Jiong | Guang-jiong Ni and Su-qing Chen (Fudan University, Shanghai, China and
ICTP, Trieste, Italy) | Relation between space-time inversion and particle-antiparticle symmetry
and the microscopic essence of special relativity | 29 pages, Latex, 1 figure | null | null | null | hep-th | null | After analyzing the implication of investigations on the C, P and T
transformations since 1956, we propose that there is a basic symmetry in
particle physics. The combined space-time inversion is equivalent to
particle-antiparticle transformation, denoted by ${\cal PT=C}$. It is shown
that the relativistic quantum mechanics and quantum field theory do contain
this invariance explicitly or implicitly. In particular, (a) the appearance of
negative energy or negative probability density in single particle theory --
corresponding to the fact of existence of antiparticle, (b) spin- statistics
connection, (c) CPT theorem, (d) the Feynman propagator are linked together via
this symmetry. Furthermore, we try to derive the main results of special
relativity, especially, (e) the mass-energy relation, (f) the Lorentz
transformation by this one ``relativistic'' postulate and some
``nonrelativistic'' knowledge.
| [
{
"created": "Tue, 15 Aug 1995 18:24:51 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ni",
"Guang-jiong",
"",
"Fudan University, Shanghai, China and\n ICTP, Trieste, Italy"
],
[
"Chen",
"Su-qing",
"",
"Fudan University, Shanghai, China and\n ICTP, Trieste, Italy"
]
] | After analyzing the implication of investigations on the C, P and T transformations since 1956, we propose that there is a basic symmetry in particle physics. The combined space-time inversion is equivalent to particle-antiparticle transformation, denoted by ${\cal PT=C}$. It is shown that the relativistic quantum mechanics and quantum field theory do contain this invariance explicitly or implicitly. In particular, (a) the appearance of negative energy or negative probability density in single particle theory -- corresponding to the fact of existence of antiparticle, (b) spin- statistics connection, (c) CPT theorem, (d) the Feynman propagator are linked together via this symmetry. Furthermore, we try to derive the main results of special relativity, especially, (e) the mass-energy relation, (f) the Lorentz transformation by this one ``relativistic'' postulate and some ``nonrelativistic'' knowledge. |
2110.05592 | Mona M. Kamal Dr. | M. I. Wanas and Mona M. Kamal | Motion of Charged Spinning Particles in a Unified Field | 11 pages; Accepted for publication in Advances in High Energy
Physics, October 2021 | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | Using a geometry wider than Riemannian one, the parameterized absolute
parallelism (PAP-) geometry, we derived a new curve containing two parameters.
In the context of the geometrization philosophy, this new curve can be used as
a trajectory of charged spinning test particle in any unified field theory
constructed in the PAP-space. We show that imposing certain conditions on the
two parameters, the new curve can be reduced to a geodesic curve giving the
motion of a scalar test particle or/and a modified geodesic giving the motion
of neutral spinning test particle in gravitational field. The new method used
for derivation, the Bazanki method, shows a new feature in the new curve
equation. This feature is that the equation contains the electromagnetic
potential term together with the Lorentz term. We show the importance of this
feature in physical applications.
| [
{
"created": "Mon, 11 Oct 2021 20:08:55 GMT",
"version": "v1"
}
] | 2021-10-13 | [
[
"Wanas",
"M. I.",
""
],
[
"Kamal",
"Mona M.",
""
]
] | Using a geometry wider than Riemannian one, the parameterized absolute parallelism (PAP-) geometry, we derived a new curve containing two parameters. In the context of the geometrization philosophy, this new curve can be used as a trajectory of charged spinning test particle in any unified field theory constructed in the PAP-space. We show that imposing certain conditions on the two parameters, the new curve can be reduced to a geodesic curve giving the motion of a scalar test particle or/and a modified geodesic giving the motion of neutral spinning test particle in gravitational field. The new method used for derivation, the Bazanki method, shows a new feature in the new curve equation. This feature is that the equation contains the electromagnetic potential term together with the Lorentz term. We show the importance of this feature in physical applications. |
hep-th/0007130 | John Schwarz | John H. Schwarz | Recent Progress in Superstring Theory | 13 pages; Talk presented at the Conference Quantization, Gauge
Theory, and Strings dedicated to the memory of Professor Efim Fradkin and at
the Ninth Marcel Grossmann Meeting (MG9) | null | null | null | hep-th | null | Superstring theory has continued to develop at a rapid clip in the past few
years. Following a quick review of some of the major discoveries prior to 1998,
this talk focuses on a few of the more recent developments. The topics I have
chosen to present are 1) the use of K-theory to classify conserved charges
carried by D-branes; 2) tachyon condensation on unstable D-brane systems; and
3) an introduction to noncommutative field theories and their solitons.
| [
{
"created": "Mon, 17 Jul 2000 18:18:56 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2000 22:12:59 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Schwarz",
"John H.",
""
]
] | Superstring theory has continued to develop at a rapid clip in the past few years. Following a quick review of some of the major discoveries prior to 1998, this talk focuses on a few of the more recent developments. The topics I have chosen to present are 1) the use of K-theory to classify conserved charges carried by D-branes; 2) tachyon condensation on unstable D-brane systems; and 3) an introduction to noncommutative field theories and their solitons. |
hep-th/0509010 | R Loll | R. Loll, J. Ambjorn, J. Jurkiewicz | The Universe from Scratch | 31 pages, 5 figures; review paper commissioned by Contemporary
Physics and aimed at a wider physics audience; minor beautifications,
coincides with journal version | Contemp.Phys. 47 (2006) 103-117 | 10.1080/00107510600603344 | SPIN-05/28, ITP-UU-05/34 | hep-th gr-qc hep-lat | null | A fascinating and deep question about nature is what one would see if one
could probe space and time at smaller and smaller distances. Already the
19th-century founders of modern geometry contemplated the possibility that a
piece of empty space that looks completely smooth and structureless to the
naked eye might have an intricate microstructure at a much smaller scale. Our
vastly increased understanding of the physical world acquired during the 20th
century has made this a certainty. The laws of quantum theory tell us that
looking at spacetime at ever smaller scales requires ever larger energies, and,
according to Einstein's theory of general relativity, this will alter spacetime
itself: it will acquire structure in the form of "curvature". What we still
lack is a definitive Theory of Quantum Gravity to give us a detailed and
quantitative description of the highly curved and quantum-fluctuating geometry
of spacetime at this so-called Planck scale. - This article outlines a
particular approach to constructing such a theory, that of Causal Dynamical
Triangulations, and its achievements so far in deriving from first principles
why spacetime is what it is, from the tiniest realms of the quantum to the
large-scale structure of the universe.
| [
{
"created": "Thu, 1 Sep 2005 15:01:41 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Sep 2005 07:54:16 GMT",
"version": "v2"
},
{
"created": "Sat, 14 Oct 2006 12:51:46 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Loll",
"R.",
""
],
[
"Ambjorn",
"J.",
""
],
[
"Jurkiewicz",
"J.",
""
]
] | A fascinating and deep question about nature is what one would see if one could probe space and time at smaller and smaller distances. Already the 19th-century founders of modern geometry contemplated the possibility that a piece of empty space that looks completely smooth and structureless to the naked eye might have an intricate microstructure at a much smaller scale. Our vastly increased understanding of the physical world acquired during the 20th century has made this a certainty. The laws of quantum theory tell us that looking at spacetime at ever smaller scales requires ever larger energies, and, according to Einstein's theory of general relativity, this will alter spacetime itself: it will acquire structure in the form of "curvature". What we still lack is a definitive Theory of Quantum Gravity to give us a detailed and quantitative description of the highly curved and quantum-fluctuating geometry of spacetime at this so-called Planck scale. - This article outlines a particular approach to constructing such a theory, that of Causal Dynamical Triangulations, and its achievements so far in deriving from first principles why spacetime is what it is, from the tiniest realms of the quantum to the large-scale structure of the universe. |
hep-th/9703189 | null | Ivan K. Kostov, Matthias Staudacher and Thomas Wynter | Complex Matrix Models and Statistics of Branched Coverings of 2D
Surfaces | 21 pages, 2 figures, TeX, harvmac.tex, epsf.tex, TeX "big" | Commun.Math.Phys.191:283-298,1998 | 10.1007/s002200050269 | SPhT-97/022, CERN-TH/97-53 | hep-th | null | We present a complex matrix gauge model defined on an arbitrary
two-dimensional orientable lattice. We rewrite the model's partition function
in terms of a sum over representations of the group U(N). The model solves the
general combinatorial problem of counting branched covers of orientable Riemann
surfaces with any given, fixed branch point structure. We then define an
appropriate continuum limit allowing the branch points to freely float over the
surface. The simplest such limit reproduces two-dimensional chiral U(N)
Yang-Mills theory and its string description due to Gross and Taylor.
| [
{
"created": "Wed, 26 Mar 1997 15:25:47 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Kostov",
"Ivan K.",
""
],
[
"Staudacher",
"Matthias",
""
],
[
"Wynter",
"Thomas",
""
]
] | We present a complex matrix gauge model defined on an arbitrary two-dimensional orientable lattice. We rewrite the model's partition function in terms of a sum over representations of the group U(N). The model solves the general combinatorial problem of counting branched covers of orientable Riemann surfaces with any given, fixed branch point structure. We then define an appropriate continuum limit allowing the branch points to freely float over the surface. The simplest such limit reproduces two-dimensional chiral U(N) Yang-Mills theory and its string description due to Gross and Taylor. |
1212.1586 | Charles Strickland-Constable | Andr\'e Coimbra, Charles Strickland-Constable, Daniel Waldram | Supergravity as Generalised Geometry II: $E_{d(d)} \times \mathbb{R}^+$
and M theory | 46 pages | null | null | Imperial/TP/12/DW/01 | hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reformulate eleven-dimensional supergravity, including fermions, in terms
of generalised geometry, for spacetimes that are warped products of Minkowski
space with a $d$-dimensional manifold $M$ with $d\leq7$. The reformation has a
$E_{d(d)} \times \mathbb{R}^+$ structure group and is has a local $\tilde{H}_d$
symmetry, where $\tilde{H}_d$ is the double cover of the maximally compact
subgroup of $E_{d(d)}$. The bosonic degrees for freedom unify into a
generalised metric, and, defining the generalised analogue $D$ of the
Levi-Civita connection, one finds that the corresponding equations of motion
are the vanishing of the generalised Ricci tensor. To leading order, we show
that the fermionic equations of motion, action and supersymmetry variations can
all be written in terms of $D$. Although we will not give the detailed
decompositions, this reformulation is equally applicable to type IIA or IIB
supergravity restricted to a $(d-1)$-dimensional manifold. For completeness we
give explicit expressions in terms of $\tilde{H}_4=\mathit{Spin}(5)$ and
$\tilde{H}_7=\mathit{SU}(8)$ representations for $d=4$ and $d=7$.
| [
{
"created": "Fri, 7 Dec 2012 11:32:45 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Dec 2013 10:39:14 GMT",
"version": "v2"
}
] | 2013-12-17 | [
[
"Coimbra",
"André",
""
],
[
"Strickland-Constable",
"Charles",
""
],
[
"Waldram",
"Daniel",
""
]
] | We reformulate eleven-dimensional supergravity, including fermions, in terms of generalised geometry, for spacetimes that are warped products of Minkowski space with a $d$-dimensional manifold $M$ with $d\leq7$. The reformation has a $E_{d(d)} \times \mathbb{R}^+$ structure group and is has a local $\tilde{H}_d$ symmetry, where $\tilde{H}_d$ is the double cover of the maximally compact subgroup of $E_{d(d)}$. The bosonic degrees for freedom unify into a generalised metric, and, defining the generalised analogue $D$ of the Levi-Civita connection, one finds that the corresponding equations of motion are the vanishing of the generalised Ricci tensor. To leading order, we show that the fermionic equations of motion, action and supersymmetry variations can all be written in terms of $D$. Although we will not give the detailed decompositions, this reformulation is equally applicable to type IIA or IIB supergravity restricted to a $(d-1)$-dimensional manifold. For completeness we give explicit expressions in terms of $\tilde{H}_4=\mathit{Spin}(5)$ and $\tilde{H}_7=\mathit{SU}(8)$ representations for $d=4$ and $d=7$. |
hep-th/0105173 | Takao Koikawa | Takao Koikawa | On the vacuum in the Moyal quantization | 13 pages | Prog.Theor.Phys. 106 (2001) 1027-1035 | 10.1143/PTP.106.1027 | null | hep-th | null | We study the features of the vacuum of the harmonic oscillator in the Moyal
quantization. The vacuums with and without using the normal ordering look
different. The vacuum without the normal ordering is shown to be expressed
using the Weyl ordering. The Weyl ordered vacuum is then compared with the
normal ordered vacuum, and the implication of the difference between them is
discussed.
| [
{
"created": "Fri, 18 May 2001 02:35:38 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Koikawa",
"Takao",
""
]
] | We study the features of the vacuum of the harmonic oscillator in the Moyal quantization. The vacuums with and without using the normal ordering look different. The vacuum without the normal ordering is shown to be expressed using the Weyl ordering. The Weyl ordered vacuum is then compared with the normal ordered vacuum, and the implication of the difference between them is discussed. |
1605.08225 | Meng-Sen Ma | Huai-Fan Li, Meng-Sen Ma, Ya-Qin Ma | Thermodynamic properties of black holes in de Sitter space | 12 pages, 5 figures, accepted by Mod. Phys. Lett. A. arXiv admin
note: text overlap with arXiv:1606.06070 | null | 10.1142/S0217732317500171 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamic properties of Schwarzschild-de Sitter (SdS) black
hole and Reissner-Nordstr\"{o}m-de Sitter (RNdS) black hole in the view of
global and effective thermodynamic quantities. Making use of the effective
first law of thermodynamics, we can derive the effective thermodynamic
quantities of de Sitter black holes. It is found that these effective
thermodynamic quantities also satisfy Smarr-like formula. Especially, the
effective temperatures are nonzero in the Nariai limit, which is consistent
with the idea of Bousso and Hawking. By calculating heat capacity and Gibbs
free energy, we find SdS black hole is always thermodynamically stable and RNdS
black hole may undergoes phase transition at some points.
| [
{
"created": "Thu, 26 May 2016 11:00:37 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Nov 2016 03:05:42 GMT",
"version": "v2"
}
] | 2017-01-25 | [
[
"Li",
"Huai-Fan",
""
],
[
"Ma",
"Meng-Sen",
""
],
[
"Ma",
"Ya-Qin",
""
]
] | We study the thermodynamic properties of Schwarzschild-de Sitter (SdS) black hole and Reissner-Nordstr\"{o}m-de Sitter (RNdS) black hole in the view of global and effective thermodynamic quantities. Making use of the effective first law of thermodynamics, we can derive the effective thermodynamic quantities of de Sitter black holes. It is found that these effective thermodynamic quantities also satisfy Smarr-like formula. Especially, the effective temperatures are nonzero in the Nariai limit, which is consistent with the idea of Bousso and Hawking. By calculating heat capacity and Gibbs free energy, we find SdS black hole is always thermodynamically stable and RNdS black hole may undergoes phase transition at some points. |
1107.0332 | Rodrigo Ferreira Sobreiro | R. F. Sobreiro and V. J. Vasquez Otoya | The role of gauge symmetry in spintronics | One reference corrected. 8 pages, no figures. Final version to appear
in Annals of Physics | Annals Phys. 326 (2011) 3067-3074 | 10.1016/j.aop.2011.08.003 | null | hep-th cond-mat.mes-hall | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we employ a field theoretical approach to explain the nature of
the non-conserved spin current in spintronics. In particular, we consider the
usual U(1) gauge theory for the electromagnetism at classical level in order to
obtain the broken continuity equation involving the spin current and
spin-transfer torque. Inspired in the recent work of A. Vernes, B. L. Gyorffy
and P. Weinberger where they obtain such equation in terms of relativistic
quantum mechanics, we formalize their result in terms of the well known
currents of field theory such as the Bargmann-Wigner current and the chiral
current. Thus, an interpretation of spintronics is provided in terms of Noether
currents (conserved or not) and symmetries of the electromagnetism. In fact,
the main result of the present work is that the non-conservation of the spin
current is associated to the gauge invariance of physical observables where the
breaking term is proportional to the chiral current. Moreover, we generalize
their result by including the electromagnetic field as a dynamical field
instead of an external one.
| [
{
"created": "Fri, 1 Jul 2011 20:38:51 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Aug 2011 20:03:35 GMT",
"version": "v2"
}
] | 2017-09-14 | [
[
"Sobreiro",
"R. F.",
""
],
[
"Otoya",
"V. J. Vasquez",
""
]
] | In this work we employ a field theoretical approach to explain the nature of the non-conserved spin current in spintronics. In particular, we consider the usual U(1) gauge theory for the electromagnetism at classical level in order to obtain the broken continuity equation involving the spin current and spin-transfer torque. Inspired in the recent work of A. Vernes, B. L. Gyorffy and P. Weinberger where they obtain such equation in terms of relativistic quantum mechanics, we formalize their result in terms of the well known currents of field theory such as the Bargmann-Wigner current and the chiral current. Thus, an interpretation of spintronics is provided in terms of Noether currents (conserved or not) and symmetries of the electromagnetism. In fact, the main result of the present work is that the non-conservation of the spin current is associated to the gauge invariance of physical observables where the breaking term is proportional to the chiral current. Moreover, we generalize their result by including the electromagnetic field as a dynamical field instead of an external one. |
hep-th/0002128 | Justin Vazquez-Poritz | M. Cvetic, H. Lu and J.F. Vazquez-Poritz | Absorption by Extremal D3-branes | Latex, 9 figures and 17 pages | JHEP 0102:012,2001 | 10.1088/1126-6708/2001/02/012 | null | hep-th | null | The absorption in the extremal D3-brane background is studied for a class of
massless fields whose linear perturbations leave the ten-dimensional background
metric unperturbed, as well as the minimally-coupled massive scalar. We find
that various fields have the same absorption probability as that of the
dilaton-axion system, which is given exactly via the Mathieu equation. We
analyze the features of the absorption cross-sections in terms of effective
Schr\"odinger potentials, conjecture a general form of the dual effective
potentials, and provide explicit numerical results for the whole energy range.
As expected, all partial-wave absorption probabilities tend to zero (one) at
low (large) energies, and exhibit an oscillatory pattern as a function of
energy. The equivalence of absorption probabilities for various modes has
implications for the correlation functions on the field, including subleading
contributions on the field-theory side. In particular, certain half-integer and
integer spin fields have identical absorption probabilities, thus providing
evidence that the corresponding operator pairs on the field theory side belong
to the same supermultiplets.
| [
{
"created": "Tue, 15 Feb 2000 23:25:13 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Cvetic",
"M.",
""
],
[
"Lu",
"H.",
""
],
[
"Vazquez-Poritz",
"J. F.",
""
]
] | The absorption in the extremal D3-brane background is studied for a class of massless fields whose linear perturbations leave the ten-dimensional background metric unperturbed, as well as the minimally-coupled massive scalar. We find that various fields have the same absorption probability as that of the dilaton-axion system, which is given exactly via the Mathieu equation. We analyze the features of the absorption cross-sections in terms of effective Schr\"odinger potentials, conjecture a general form of the dual effective potentials, and provide explicit numerical results for the whole energy range. As expected, all partial-wave absorption probabilities tend to zero (one) at low (large) energies, and exhibit an oscillatory pattern as a function of energy. The equivalence of absorption probabilities for various modes has implications for the correlation functions on the field, including subleading contributions on the field-theory side. In particular, certain half-integer and integer spin fields have identical absorption probabilities, thus providing evidence that the corresponding operator pairs on the field theory side belong to the same supermultiplets. |
2308.10933 | Pietro Benetti Genolini | Pietro Benetti Genolini, Jerome P. Gauntlett, James Sparks | Localizing Wrapped M5-branes and Gravitational Blocks | 6 pages; v2: corrected typos, minor improvements | null | 10.1103/PhysRevD.108.L101903 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $d=2$, $\mathcal{N}=(0,2)$ SCFTs that can arise from M5-branes
wrapping four-dimensional, complex, toric manifolds and orbifolds. We use
equivariant localization to compute the off-shell central charge of the dual
supergravity solutions, obtaining a result which can be written as a sum of
gravitational blocks and precisely agrees with a field theory computation using
anomaly polynomials and $c$-extremization.
| [
{
"created": "Mon, 21 Aug 2023 18:00:01 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Nov 2023 11:20:40 GMT",
"version": "v2"
}
] | 2023-11-10 | [
[
"Genolini",
"Pietro Benetti",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Sparks",
"James",
""
]
] | We consider $d=2$, $\mathcal{N}=(0,2)$ SCFTs that can arise from M5-branes wrapping four-dimensional, complex, toric manifolds and orbifolds. We use equivariant localization to compute the off-shell central charge of the dual supergravity solutions, obtaining a result which can be written as a sum of gravitational blocks and precisely agrees with a field theory computation using anomaly polynomials and $c$-extremization. |
2306.16555 | Youran Sun | Babak Haghighat, Youran Sun | Topological Defect Lines in bosonized Parafermionic CFTs | the version accepted by ATMP | null | null | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Topological defect lines (TDLs) are extended line operators which act on the
Hilbert space of two-dimensional CFTs and satisfy non-trivial fusion algebras
when forming junctions. Among the most interesting fusion algebras are the
so-called Tambara-Yamagami (TY) fusion categories which are realized in
(bosonized) Parafermionic CFTs. The corresponding TY[$\mathbb{Z}_k$]-categories
have been explicitly realized for the cases $k=2$, $k=3$, and $k=4$ together
with the action of the defect lines on the Hilbert space of the corresponding
CFTs. For each of the cases, different methods have been used in the previous
literature. In the current paper, we present a unified framework for finding
the TDLs in bosonized Parafermionic CFTs. Our approach relies on combining
several previously used methods and the definition of an extended $S$ matrix.
We apply the method to the cases $k=2$ to $k=5$ to extract corresponding TDL
fusion algebras.
| [
{
"created": "Wed, 28 Jun 2023 20:47:26 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Aug 2023 03:05:23 GMT",
"version": "v2"
},
{
"created": "Fri, 2 Aug 2024 04:09:01 GMT",
"version": "v3"
}
] | 2024-08-05 | [
[
"Haghighat",
"Babak",
""
],
[
"Sun",
"Youran",
""
]
] | Topological defect lines (TDLs) are extended line operators which act on the Hilbert space of two-dimensional CFTs and satisfy non-trivial fusion algebras when forming junctions. Among the most interesting fusion algebras are the so-called Tambara-Yamagami (TY) fusion categories which are realized in (bosonized) Parafermionic CFTs. The corresponding TY[$\mathbb{Z}_k$]-categories have been explicitly realized for the cases $k=2$, $k=3$, and $k=4$ together with the action of the defect lines on the Hilbert space of the corresponding CFTs. For each of the cases, different methods have been used in the previous literature. In the current paper, we present a unified framework for finding the TDLs in bosonized Parafermionic CFTs. Our approach relies on combining several previously used methods and the definition of an extended $S$ matrix. We apply the method to the cases $k=2$ to $k=5$ to extract corresponding TDL fusion algebras. |
1809.10647 | Antonio Gallerati | Antonio Gallerati and Mario Trigiante | Introductory Lectures on Extended Supergravities and Gaugings | 81 pages, 5 figures. arXiv admin note: substantial text overlap with
arXiv:1609.09745 | Based on the contribution to "Theoretical Frontiers in Black Holes
and Cosmology", Springer Proceedings in Physics, vol. 176 (2006). Springer,
Cham | 10.1007/978-3-319-31352-8_2 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In an ungauged supergravity theory, the presence of a \emph{scalar potential}
is allowed only for the minimal $\N=1$ case. In extended supergravities, a
non-trivial scalar potential can be introduced without explicitly breaking
supersymmetry only through the so-called \emph{gauging procedure}. The latter
consists in promoting a suitable global symmetry group to local symmetry to be
gauged by the vector fields of the theory. Gauged supergravities provide a
valuable approach to the study of superstring flux-compactifications and the
construction of phenomenologically viable, string-inspired models. The aim of
these lectures is to give a pedagogical introduction to the subject of gauged
supergravities, covering just selected issues and discussing some of their
applications.
| [
{
"created": "Thu, 27 Sep 2018 17:19:46 GMT",
"version": "v1"
},
{
"created": "Fri, 28 Sep 2018 12:27:58 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Oct 2018 20:49:47 GMT",
"version": "v3"
}
] | 2018-10-15 | [
[
"Gallerati",
"Antonio",
""
],
[
"Trigiante",
"Mario",
""
]
] | In an ungauged supergravity theory, the presence of a \emph{scalar potential} is allowed only for the minimal $\N=1$ case. In extended supergravities, a non-trivial scalar potential can be introduced without explicitly breaking supersymmetry only through the so-called \emph{gauging procedure}. The latter consists in promoting a suitable global symmetry group to local symmetry to be gauged by the vector fields of the theory. Gauged supergravities provide a valuable approach to the study of superstring flux-compactifications and the construction of phenomenologically viable, string-inspired models. The aim of these lectures is to give a pedagogical introduction to the subject of gauged supergravities, covering just selected issues and discussing some of their applications. |
2305.07533 | Aniello Quaranta | Antonio Capolupo, Gaetano Lambiase, Aniello Quaranta | Fermion mixing in curved spacetime | Presented at DICE 2022 conference | null | 10.1088/1742-6596/2533/1/012050 | null | hep-th gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We develop the quantum field theory of fermion mixing in curved spacetime and
discuss the role of unitarily inequivalent representations in the particle
interpretation of the theory. We derive general oscillation formulae and apply
them to specific spcetimes of interest, such as spatially flat FRW metrics and
the Schwarzschild spacetime. We exhibit the main deviations from the usual
quantum mechanical approach.
| [
{
"created": "Fri, 12 May 2023 14:50:55 GMT",
"version": "v1"
}
] | 2024-03-06 | [
[
"Capolupo",
"Antonio",
""
],
[
"Lambiase",
"Gaetano",
""
],
[
"Quaranta",
"Aniello",
""
]
] | We develop the quantum field theory of fermion mixing in curved spacetime and discuss the role of unitarily inequivalent representations in the particle interpretation of the theory. We derive general oscillation formulae and apply them to specific spcetimes of interest, such as spatially flat FRW metrics and the Schwarzschild spacetime. We exhibit the main deviations from the usual quantum mechanical approach. |
2305.17069 | Marcus Spradlin | Luke Lippstreu, Marcus Spradlin, Akshay Yelleshpur Srikant, Anastasia
Volovich | Landau Singularities of the 7-Point Ziggurat II | 22 pages, 10 figures; v2: minor changes | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We solve the Landau equations to find the singularities of nine three-loop
7-point graphs that arise as relaxations of the graph studied in
arXiv:2211.16425. Along the way we establish that $Y{-}\Delta$ equivalence
fails for certain branches of solutions to the Landau equations. We find two
graphs with singularities outside the heptagon symbol alphabet; in particular
they are not cluster variables of ${\rm Gr}(4,7)$. We compare maximal residues
of scalar graphs exhibiting these singularities to those in $\mathcal{N}=4$
super-Yang-Mills theory in order to probe their cancellation from its
amplitudes.
| [
{
"created": "Fri, 26 May 2023 16:25:13 GMT",
"version": "v1"
},
{
"created": "Sat, 29 Jun 2024 15:15:34 GMT",
"version": "v2"
}
] | 2024-07-02 | [
[
"Lippstreu",
"Luke",
""
],
[
"Spradlin",
"Marcus",
""
],
[
"Srikant",
"Akshay Yelleshpur",
""
],
[
"Volovich",
"Anastasia",
""
]
] | We solve the Landau equations to find the singularities of nine three-loop 7-point graphs that arise as relaxations of the graph studied in arXiv:2211.16425. Along the way we establish that $Y{-}\Delta$ equivalence fails for certain branches of solutions to the Landau equations. We find two graphs with singularities outside the heptagon symbol alphabet; in particular they are not cluster variables of ${\rm Gr}(4,7)$. We compare maximal residues of scalar graphs exhibiting these singularities to those in $\mathcal{N}=4$ super-Yang-Mills theory in order to probe their cancellation from its amplitudes. |
2407.02695 | Weizhen Jia | Weizhen Jia | Topics in Weyl Geometry and Quantum Anomalies | 178 pages, 3 figures; Ph.D. dissertation | null | null | null | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The first part of this thesis focuses on the Weyl-covariant nature of
holography. We generalize the Fefferman-Graham (FG) ambient construction for
conformal geometry to a corresponding construction for Weyl geometry. Through
the Weyl-ambient construction, we investigate Weyl-covariant quantities on the
Weyl manifold and define Weyl-obstruction tensors. We show that
Weyl-obstruction tensors appear as poles in the Fefferman-Graham expansion of
the ALAdS bulk metric for even boundary dimensions. Under holographic
renormalization in the Weyl-Fefferman-Graham gauge, we compute the Weyl anomaly
of the boundary theory in multiple dimensions and demonstrate that
Weyl-obstruction tensors can be used as the building blocks for the Weyl
anomaly of the dual quantum field theory (QFT). The holographic calculation
with a background Weyl geometry also suggests an underlying geometric
interpretation of the Weyl anomaly.
The second part of this thesis is devoted to understanding the geometric
nature of the BRST formalism and quantum anomalies. Using the language of Lie
algebroids, the BRST complex can be encoded in the exterior algebra of an
Atiyah Lie algebroid derived from the principal bundle of the gauge theory. We
showed that the cohomology of an Atiyah Lie algebroid in a trivialization gives
rise to the BRST cohomology. We then apply the Lie algebroid cohomology in
studying quantum anomalies and demonstrate the computation for chiral and
Lorentz-Weyl anomalies. In particular, we pay close attention to the fact that
the geometric intuition afforded by the Lie algebroid (which was absent in the
traditional BRST complex) provides hints of a deeper picture that
simultaneously geometrizes the consistent and covariant forms of the anomaly.
In the algebroid construction, the difference between the consistent and
covariant anomalies is simply a different choice of basis.
| [
{
"created": "Tue, 2 Jul 2024 22:25:17 GMT",
"version": "v1"
}
] | 2024-07-04 | [
[
"Jia",
"Weizhen",
""
]
] | The first part of this thesis focuses on the Weyl-covariant nature of holography. We generalize the Fefferman-Graham (FG) ambient construction for conformal geometry to a corresponding construction for Weyl geometry. Through the Weyl-ambient construction, we investigate Weyl-covariant quantities on the Weyl manifold and define Weyl-obstruction tensors. We show that Weyl-obstruction tensors appear as poles in the Fefferman-Graham expansion of the ALAdS bulk metric for even boundary dimensions. Under holographic renormalization in the Weyl-Fefferman-Graham gauge, we compute the Weyl anomaly of the boundary theory in multiple dimensions and demonstrate that Weyl-obstruction tensors can be used as the building blocks for the Weyl anomaly of the dual quantum field theory (QFT). The holographic calculation with a background Weyl geometry also suggests an underlying geometric interpretation of the Weyl anomaly. The second part of this thesis is devoted to understanding the geometric nature of the BRST formalism and quantum anomalies. Using the language of Lie algebroids, the BRST complex can be encoded in the exterior algebra of an Atiyah Lie algebroid derived from the principal bundle of the gauge theory. We showed that the cohomology of an Atiyah Lie algebroid in a trivialization gives rise to the BRST cohomology. We then apply the Lie algebroid cohomology in studying quantum anomalies and demonstrate the computation for chiral and Lorentz-Weyl anomalies. In particular, we pay close attention to the fact that the geometric intuition afforded by the Lie algebroid (which was absent in the traditional BRST complex) provides hints of a deeper picture that simultaneously geometrizes the consistent and covariant forms of the anomaly. In the algebroid construction, the difference between the consistent and covariant anomalies is simply a different choice of basis. |
1201.2649 | Dante Pereira M. Sc. | Guilherme de Berredo-Peixoto, Dante D. Pereira and Ilya L. Shapiro | Universality and ambiguity in fermionic effective actions | 13 pages, no figures | null | 10.1103/PhysRevD.85.064025 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss an ambiguity in the one-loop effective action of massive fields
which takes place in massive fermionic theories. The universality of
logarithmic UV divergences in different space-time dimensions leads to the
non-universality of the finite part of effective action, which can be called
the non-local multiplicative anomaly. The general criteria of existence of this
phenomena are formulated and applied to fermionic operators with different
external fields.
| [
{
"created": "Thu, 12 Jan 2012 19:07:42 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"de Berredo-Peixoto",
"Guilherme",
""
],
[
"Pereira",
"Dante D.",
""
],
[
"Shapiro",
"Ilya L.",
""
]
] | We discuss an ambiguity in the one-loop effective action of massive fields which takes place in massive fermionic theories. The universality of logarithmic UV divergences in different space-time dimensions leads to the non-universality of the finite part of effective action, which can be called the non-local multiplicative anomaly. The general criteria of existence of this phenomena are formulated and applied to fermionic operators with different external fields. |
hep-th/0205119 | Antoine Van Proeyen | Pietro Fre, Mario Trigiante and Antoine Van Proeyen | Stable de Sitter Vacua from N=2 Supergravity | 30 pages, 1 figure; v2: Added reference, and typos corrected. Version
to be published in CQG | Class.Quant.Grav. 19 (2002) 4167-4194 | 10.1088/0264-9381/19/15/319 | KUL-TF-02/03, ITF-2002/20, SPIN-2002/13 | hep-th | null | We find extrema of the potential of matter couplings to N=2 supergravity that
define de Sitter vacua and no tachyonic modes. There are three essential
ingredients in our construction: namely non-abelian non-compact gaugings, de
Roo-Wagemans rotation angles, and Fayet-Iliopoulos terms.
| [
{
"created": "Mon, 13 May 2002 17:30:23 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jul 2002 10:43:49 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Fre",
"Pietro",
""
],
[
"Trigiante",
"Mario",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] | We find extrema of the potential of matter couplings to N=2 supergravity that define de Sitter vacua and no tachyonic modes. There are three essential ingredients in our construction: namely non-abelian non-compact gaugings, de Roo-Wagemans rotation angles, and Fayet-Iliopoulos terms. |
1205.2512 | Pietro Longhi | Pietro Longhi | The BPS Spectrum Generator In 2d-4d Systems | 38 pages; v2: references added; v3: references added, added
introductory material in sections 1, 2.1, 2.2, 2.3 | JHEP11(2012)107 | 10.1007/JHEP11(2012)107 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We apply the techniques provided by the recent works Gaiotto, Moore and
Neitzke, to derive the most general spectrum generating functions for coupled
2d-4d $A_1$ theories of class ${\cal S}$, in presence of surface and line
defects. As an application of the result, some well-known BPS spectra are
reproduced. Our results apply to a large class of coupled 2d-4d systems, the
corresponding spectrum generating functions can be easily derived from our
general expressions.
| [
{
"created": "Fri, 11 May 2012 13:12:52 GMT",
"version": "v1"
},
{
"created": "Wed, 16 May 2012 01:25:05 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Oct 2012 16:41:03 GMT",
"version": "v3"
}
] | 2012-12-03 | [
[
"Longhi",
"Pietro",
""
]
] | We apply the techniques provided by the recent works Gaiotto, Moore and Neitzke, to derive the most general spectrum generating functions for coupled 2d-4d $A_1$ theories of class ${\cal S}$, in presence of surface and line defects. As an application of the result, some well-known BPS spectra are reproduced. Our results apply to a large class of coupled 2d-4d systems, the corresponding spectrum generating functions can be easily derived from our general expressions. |
1409.1369 | Ren\'e Meyer | Matthew Lippert, Rene Meyer, and Anastasios Taliotis | A holographic model for the fractional quantum Hall effect | 86 pages, 16 figures; v.2 references added, typos fixed, improved
discussion of ref. [39]; v.3 more references added and typos fixed, several
statements clarified, v.4 version accepted for publication in JHEP | JHEP 1501 (2015) 023 | 10.1007/JHEP01(2015)023 | IPMU14-0253 | hep-th cond-mat.mes-hall cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Experimental data for fractional quantum Hall systems can to a large extent
be explained by assuming the existence of a modular symmetry group commuting
with the renormalization group flow and hence mapping different phases of
two-dimensional electron gases into each other. Based on this insight, we
construct a phenomenological holographic model which captures many features of
the fractional quantum Hall effect. Using an SL(2,Z)-invariant
Einstein-Maxwell-axio-dilaton theory capturing the important modular
transformation properties of quantum Hall physics, we find dyonic diatonic
black hole solutions which are gapped and have a Hall conductivity equal to the
filling fraction, as expected for quantum Hall states. We also provide several
technical results on the general behavior of the gauge field fluctuations
around these dyonic dilatonic black hole solutions: We specify a sufficient
criterion for IR normalizability of the fluctuations, demonstrate the
preservation of the gap under the SL(2,Z) action, and prove that the
singularity of the fluctuation problem in the presence of a magnetic field is
an accessory singularity. We finish with a preliminary investigation of the
possible IR scaling solutions of our model and some speculations on how they
could be important for the observed universality of quantum Hall transitions.
| [
{
"created": "Thu, 4 Sep 2014 09:00:52 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Oct 2014 15:42:00 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Dec 2014 10:49:01 GMT",
"version": "v3"
},
{
"created": "Tue, 23 Dec 2014 03:12:01 GMT",
"version": "v4"
}
] | 2017-03-02 | [
[
"Lippert",
"Matthew",
""
],
[
"Meyer",
"Rene",
""
],
[
"Taliotis",
"Anastasios",
""
]
] | Experimental data for fractional quantum Hall systems can to a large extent be explained by assuming the existence of a modular symmetry group commuting with the renormalization group flow and hence mapping different phases of two-dimensional electron gases into each other. Based on this insight, we construct a phenomenological holographic model which captures many features of the fractional quantum Hall effect. Using an SL(2,Z)-invariant Einstein-Maxwell-axio-dilaton theory capturing the important modular transformation properties of quantum Hall physics, we find dyonic diatonic black hole solutions which are gapped and have a Hall conductivity equal to the filling fraction, as expected for quantum Hall states. We also provide several technical results on the general behavior of the gauge field fluctuations around these dyonic dilatonic black hole solutions: We specify a sufficient criterion for IR normalizability of the fluctuations, demonstrate the preservation of the gap under the SL(2,Z) action, and prove that the singularity of the fluctuation problem in the presence of a magnetic field is an accessory singularity. We finish with a preliminary investigation of the possible IR scaling solutions of our model and some speculations on how they could be important for the observed universality of quantum Hall transitions. |
1011.0243 | Jiang Qing-Quan | Qing-Quan Jiang, Xu Cai | Back reaction, emission spectrum and entropy spectroscopy | 16 pages, no figure, use JHEP3.cls. to be published in JHEP | JHEP 1011:066,2010 | 10.1007/JHEP11(2010)066 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, an interesting work, which reformulates the tunneling framework to
directly produce the Hawking emission spectrum and entropy spectroscopy in the
tunneling picture, has been received a broad attention. However, during the
emission process, most related observations have not incorporated the effects
of back reaction on the background spacetime, whose derivations are therefore
not the desiring results for the real physical process. With this point as a
central motivation, in this paper we suitably adapt the \emph{reformulated}
tunneling framework so that it can well accommodate the effects of back
reaction to produce the Hawking emission spectrum and entropy spectroscopy.
Consequently, we interestingly find that, when back reaction is considered, the
Parikh-Wilczek's outstanding observations that, an isolated radiating black
hole has an unitary-evolving emission spectrum that is \emph{not} precisely
thermal, but is related to the change of the Bekenstein-Hawking entropy, can
also be reproduced in the reformulated tunneling framework, meanwhile the
entropy spectrum has the same form as that without inclusion of back reaction,
which demonstrates the entropy quantum is \emph{independent} of the effects of
back reaction. As our final analysis, we concentrate on the issues of the black
hole information, but \emph{unfortunately} find that, even including the
effects of back reaction and higher-order quantum corrections, such tunneling
formalism can still not provide a mechanism for preserving the black hole
information.
| [
{
"created": "Mon, 1 Nov 2010 04:01:16 GMT",
"version": "v1"
}
] | 2011-03-28 | [
[
"Jiang",
"Qing-Quan",
""
],
[
"Cai",
"Xu",
""
]
] | Recently, an interesting work, which reformulates the tunneling framework to directly produce the Hawking emission spectrum and entropy spectroscopy in the tunneling picture, has been received a broad attention. However, during the emission process, most related observations have not incorporated the effects of back reaction on the background spacetime, whose derivations are therefore not the desiring results for the real physical process. With this point as a central motivation, in this paper we suitably adapt the \emph{reformulated} tunneling framework so that it can well accommodate the effects of back reaction to produce the Hawking emission spectrum and entropy spectroscopy. Consequently, we interestingly find that, when back reaction is considered, the Parikh-Wilczek's outstanding observations that, an isolated radiating black hole has an unitary-evolving emission spectrum that is \emph{not} precisely thermal, but is related to the change of the Bekenstein-Hawking entropy, can also be reproduced in the reformulated tunneling framework, meanwhile the entropy spectrum has the same form as that without inclusion of back reaction, which demonstrates the entropy quantum is \emph{independent} of the effects of back reaction. As our final analysis, we concentrate on the issues of the black hole information, but \emph{unfortunately} find that, even including the effects of back reaction and higher-order quantum corrections, such tunneling formalism can still not provide a mechanism for preserving the black hole information. |
2108.02202 | Matthew Yu | Diego Delmastro, Jaume Gomis, Matthew Yu | Infrared phases of 2d QCD | 82 pages, minor revisions in v2 | null | null | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/4.0/ | We derive the necessary and sufficient conditions for a 2d QCD theory of
massless gluons and left and right chiral quarks in arbitrary representations
of a gauge group G to develop a mass gap. These results are obtained from
spectral properties of the lightcone and temporal QCD Hamiltonians. The
conditions can be explicitly solved, and we provide the complete list of all 2d
QCD theories that have a quantum mechanical gap in the spectrum, while any
other theory not in the list is gapless. The list of gapped theories includes
QCD models with quarks in vector-like as well as chiral representations. The
gapped theories consist of several infinite families of classical gauge groups
with quarks in rank 1 and 2 representations, plus a finite number of isolated
cases. We also put forward and analyze the effective infrared description of
QCD - TQFTs for gapped theories and CFTs for gapless theories - and exhibit
several interesting features in the infrared, such as the existence of
non-trivial global 't Hooft anomalies and emergent supersymmetry. We identify
2d QCD theories that flow in the infrared to celebrated CFTs such as minimal
models, bosonic and supersymmetric, and Wess-Zumino-Witten and Kazama-Suzuki
models.
| [
{
"created": "Wed, 4 Aug 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Feb 2023 01:29:05 GMT",
"version": "v2"
}
] | 2023-02-13 | [
[
"Delmastro",
"Diego",
""
],
[
"Gomis",
"Jaume",
""
],
[
"Yu",
"Matthew",
""
]
] | We derive the necessary and sufficient conditions for a 2d QCD theory of massless gluons and left and right chiral quarks in arbitrary representations of a gauge group G to develop a mass gap. These results are obtained from spectral properties of the lightcone and temporal QCD Hamiltonians. The conditions can be explicitly solved, and we provide the complete list of all 2d QCD theories that have a quantum mechanical gap in the spectrum, while any other theory not in the list is gapless. The list of gapped theories includes QCD models with quarks in vector-like as well as chiral representations. The gapped theories consist of several infinite families of classical gauge groups with quarks in rank 1 and 2 representations, plus a finite number of isolated cases. We also put forward and analyze the effective infrared description of QCD - TQFTs for gapped theories and CFTs for gapless theories - and exhibit several interesting features in the infrared, such as the existence of non-trivial global 't Hooft anomalies and emergent supersymmetry. We identify 2d QCD theories that flow in the infrared to celebrated CFTs such as minimal models, bosonic and supersymmetric, and Wess-Zumino-Witten and Kazama-Suzuki models. |
hep-th/0203119 | Pei-Ming Ho | Robert Brandenberger, Pei-Ming Ho | Noncommutative Spacetime, Stringy Spacetime Uncertainty Principle, and
Density Fluctuations | 10 pages | Phys.Rev. D66 (2002) 023517; AAPPS Bull. 12N1 (2002) 10-20 | 10.1103/PhysRevD.66.023517 | null | hep-th astro-ph gr-qc hep-ph | null | We propose a variation of spacetime noncommutative field theory to realize
the stringy spacetime uncertainty relation without breaking any of the global
symmetries of the homogeneous isotropic universe. We study the spectrum of
metric perturbations in this model for a wide class of accelerating background
cosmologies. Spacetime noncommutativity leads to a coupling between the
fluctuation modes and the background cosmology which is nonlocal in time. For
each mode, there is a critical time at which the spacetime uncertainty relation
is saturated. This is the time when the mode is generated. These effects lead
to a spectrum of fluctuations whose spectral index is different from what is
obtained for commutative spacetime in the infrared region, but is unchanged in
the ultraviolet region. In the special case of an exponentially expanding
background, we find a scale-invariant spectrum. but with a different magnitude
than in the context of commutative spacetime if the Hubble constant is above
the string scale.
| [
{
"created": "Wed, 13 Mar 2002 16:01:51 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Brandenberger",
"Robert",
""
],
[
"Ho",
"Pei-Ming",
""
]
] | We propose a variation of spacetime noncommutative field theory to realize the stringy spacetime uncertainty relation without breaking any of the global symmetries of the homogeneous isotropic universe. We study the spectrum of metric perturbations in this model for a wide class of accelerating background cosmologies. Spacetime noncommutativity leads to a coupling between the fluctuation modes and the background cosmology which is nonlocal in time. For each mode, there is a critical time at which the spacetime uncertainty relation is saturated. This is the time when the mode is generated. These effects lead to a spectrum of fluctuations whose spectral index is different from what is obtained for commutative spacetime in the infrared region, but is unchanged in the ultraviolet region. In the special case of an exponentially expanding background, we find a scale-invariant spectrum. but with a different magnitude than in the context of commutative spacetime if the Hubble constant is above the string scale. |
hep-th/0306041 | Washington Taylor | Erasmo Coletti, Ilya Sigalov, and Washington Taylor (MIT) | Abelian and nonabelian vector field effective actions from string field
theory | 49 pages, 1 eps figure | JHEP 0309 (2003) 050 | 10.1088/1126-6708/2003/09/050 | MIT-CTP-3383 | hep-th | null | The leading terms in the tree-level effective action for the massless fields
of the bosonic open string are calculated by integrating out all massive fields
in Witten's cubic string field theory. In both the abelian and nonabelian
theories, field redefinitions make it possible to express the effective action
in terms of the conventional field strength. The resulting actions reproduce
the leading terms in the abelian and nonabelian Born-Infeld theories, and
include (covariant) derivative corrections.
| [
{
"created": "Wed, 4 Jun 2003 15:14:12 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Coletti",
"Erasmo",
"",
"MIT"
],
[
"Sigalov",
"Ilya",
"",
"MIT"
],
[
"Taylor",
"Washington",
"",
"MIT"
]
] | The leading terms in the tree-level effective action for the massless fields of the bosonic open string are calculated by integrating out all massive fields in Witten's cubic string field theory. In both the abelian and nonabelian theories, field redefinitions make it possible to express the effective action in terms of the conventional field strength. The resulting actions reproduce the leading terms in the abelian and nonabelian Born-Infeld theories, and include (covariant) derivative corrections. |
1511.07061 | Joao Miguel Vieira Gomes | Joao Gomes | Exact holography and black hole entropy in N=8 and N=4 string theory | 49 pages; clarifications in the discussion of section 4.3, results
unchanged; other minor typos corrected | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the exact entropy of one-eighth and one-quarter BPS black holes in
N=8 and N=4 string theory respectively. This includes all the N=4 CHL models in
both K3 and T^4 compactifications. The main result is a measure for the finite
dimensional integral that one obtains after localization of supergravity on
AdS_2xS^2. This measure is determined entirely by an anomaly in supersymmetric
Chern-Simons theory on local AdS_3 and takes into account the contribution from
all the supergravity multiplets. In Chern-Simons theory on compact manifolds
this is the anomaly that computes a certain one-loop dependence on the volume
of the manifold. For one-eighth BPS black holes our results are a first
principles derivation of a measure proposed in arXiv:1111.1161, while in the
case of one-quarter BPS black holes our result computes exactly all the
perturbative or area corrections. Moreover, we argue that instantonic
contributions can be incorporated and give evidence by computing the measure
which matches precisely the microscopics. Along with this, we find an unitary
condition that truncates the answer to a finite sum of instantons in perfect
agreement with a microscopic formula. Our results solve a number of puzzles
related to localization in supergravity and constitute a larger number of
examples where holography can be shown to hold exactly.
| [
{
"created": "Sun, 22 Nov 2015 20:08:55 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2017 12:43:47 GMT",
"version": "v2"
}
] | 2017-05-16 | [
[
"Gomes",
"Joao",
""
]
] | We compute the exact entropy of one-eighth and one-quarter BPS black holes in N=8 and N=4 string theory respectively. This includes all the N=4 CHL models in both K3 and T^4 compactifications. The main result is a measure for the finite dimensional integral that one obtains after localization of supergravity on AdS_2xS^2. This measure is determined entirely by an anomaly in supersymmetric Chern-Simons theory on local AdS_3 and takes into account the contribution from all the supergravity multiplets. In Chern-Simons theory on compact manifolds this is the anomaly that computes a certain one-loop dependence on the volume of the manifold. For one-eighth BPS black holes our results are a first principles derivation of a measure proposed in arXiv:1111.1161, while in the case of one-quarter BPS black holes our result computes exactly all the perturbative or area corrections. Moreover, we argue that instantonic contributions can be incorporated and give evidence by computing the measure which matches precisely the microscopics. Along with this, we find an unitary condition that truncates the answer to a finite sum of instantons in perfect agreement with a microscopic formula. Our results solve a number of puzzles related to localization in supergravity and constitute a larger number of examples where holography can be shown to hold exactly. |
hep-th/0108218 | Oleg Lebedev | Oleg Lebedev (U. Sussex) | The CKM Phase in Heterotic Orbifold Models | 12 pages, 3 figures | Phys.Lett. B521 (2001) 71-78 | 10.1016/S0370-2693(01)01180-7 | SUSX-TH/01-036 | hep-th hep-ph | null | We consider properties of the CKM phase in the heterotic orbifold models. We
find that at the renormalizable level the CKM phase vanishes identically for
the prime orbifolds, whereas it can be non-zero for some non-prime orbifolds.
In particular, we study in detail the Z_6-I orbifold which allows for a
non-trivial CKM phase and analyze the modular properties of the corresponding
Jarlskog invariant. The CKM phase is shown to vanish if the moduli fields are
stabilized at Im T_i=\pm 1/2.
| [
{
"created": "Wed, 29 Aug 2001 16:04:52 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Lebedev",
"Oleg",
"",
"U. Sussex"
]
] | We consider properties of the CKM phase in the heterotic orbifold models. We find that at the renormalizable level the CKM phase vanishes identically for the prime orbifolds, whereas it can be non-zero for some non-prime orbifolds. In particular, we study in detail the Z_6-I orbifold which allows for a non-trivial CKM phase and analyze the modular properties of the corresponding Jarlskog invariant. The CKM phase is shown to vanish if the moduli fields are stabilized at Im T_i=\pm 1/2. |
hep-th/9506104 | Andreas Wisskirchen | Ralph Blumenhagen and Andreas Wisskirchen | Exactly Solvable (0,2) Supersymmetric String Vacua With GUT Gauge Groups | PlainTeX, 23 pages, no figures, final version to appear in Nucl.
Phys. B, some minor corrections, complete list of changes at the top of the
TeX file | Nucl.Phys. B454 (1995) 561-586 | 10.1016/0550-3213(95)00484-A | BONN-TH-95-11, IFP-507-UNC | hep-th | null | We present a construction of modular invariant partition functions for
heterotic (0,2) supersymmetric classical string vacua. This generalization of
Gepner's construction yields GUT gauge groups E_6, SO(10), SU(5) and SU(3) x
SU(2) x U(1)^r, respectively. By calculating the massless spectrum of some of
these models we find strong indications that they correspond to (0,2) string
vacua discussed recently in the context of CYM/LG phases.
| [
{
"created": "Fri, 16 Jun 1995 06:33:11 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Sep 1995 13:33:43 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Blumenhagen",
"Ralph",
""
],
[
"Wisskirchen",
"Andreas",
""
]
] | We present a construction of modular invariant partition functions for heterotic (0,2) supersymmetric classical string vacua. This generalization of Gepner's construction yields GUT gauge groups E_6, SO(10), SU(5) and SU(3) x SU(2) x U(1)^r, respectively. By calculating the massless spectrum of some of these models we find strong indications that they correspond to (0,2) string vacua discussed recently in the context of CYM/LG phases. |
hep-th/9512027 | Laurent Baulieu | Laurent Baulieu | B-V Quantization in 2-D Gravity and New Conformal Fields | 19 pages, latex, no figures | null | null | PAR--LPTHE 95/56 | hep-th | null | We investigate the properties of 2-D gravity in the Batalin and Vilkovisky
quantization scheme. We find a factorized structure which exhibits duality
properties analogous to those existing in the topological theories of forms.
New conformal field are introduced with their invariant action.
| [
{
"created": "Tue, 5 Dec 1995 18:35:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Baulieu",
"Laurent",
""
]
] | We investigate the properties of 2-D gravity in the Batalin and Vilkovisky quantization scheme. We find a factorized structure which exhibits duality properties analogous to those existing in the topological theories of forms. New conformal field are introduced with their invariant action. |
1309.3907 | Mareike Haberichter | Richard A. Battye and Mareike Haberichter | Isospinning baby Skyrmion solutions | 24 pages, 15 figures, Published version | Phys. Rev. D 88, 125016 (2013) | 10.1103/PhysRevD.88.125016 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We perform full two-dimensional (2D) numerical relaxations of isospinning
soliton solutions in the baby Skyrme model in which the global $O(3)$ symmetry
is broken by the 2D analogue of the pion mass term in the Skyrme model. In our
calculations we explicitely allow the isospinning solitons to deform and to
break the symmetries of the static configurations. We find that stable
isospinning baby Skyrme solutions can be constructed numerically for all
angular frequencies $\omega\le \text{min}(\mu,1)$, where $\mu$ is the mass
parameter of the model. Stable, rotationally-symmetric baby Skyrmion solutions
for higher angular velocities are simply an artefact of the hedgehog
approximation. Isospinning multisoliton solutions of topological charge $B$
turn out to be unstable to break up into their $B$ charge-1 constituents at
some critical breakup frequency value. Furthermore, we find that for $\mu$
sufficiently large the rotational symmetry of charge-2 baby Skyrmions becomes
broken at a critical angular frequency $\omega$.
| [
{
"created": "Mon, 16 Sep 2013 11:34:15 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Sep 2014 19:41:36 GMT",
"version": "v2"
}
] | 2014-09-04 | [
[
"Battye",
"Richard A.",
""
],
[
"Haberichter",
"Mareike",
""
]
] | We perform full two-dimensional (2D) numerical relaxations of isospinning soliton solutions in the baby Skyrme model in which the global $O(3)$ symmetry is broken by the 2D analogue of the pion mass term in the Skyrme model. In our calculations we explicitely allow the isospinning solitons to deform and to break the symmetries of the static configurations. We find that stable isospinning baby Skyrme solutions can be constructed numerically for all angular frequencies $\omega\le \text{min}(\mu,1)$, where $\mu$ is the mass parameter of the model. Stable, rotationally-symmetric baby Skyrmion solutions for higher angular velocities are simply an artefact of the hedgehog approximation. Isospinning multisoliton solutions of topological charge $B$ turn out to be unstable to break up into their $B$ charge-1 constituents at some critical breakup frequency value. Furthermore, we find that for $\mu$ sufficiently large the rotational symmetry of charge-2 baby Skyrmions becomes broken at a critical angular frequency $\omega$. |
2005.10854 | Shajid Haque | Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque, Bret Underwood | The Rise of Cosmological Complexity: Saturation of Growth and Chaos | 19 pages, 9 figures | Phys. Rev. Research 2, 033273 (2020) | 10.1103/PhysRevResearch.2.033273 | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the circuit complexity of scalar curvature perturbations on FLRW
cosmological backgrounds with fixed equation of state $w$ using the language of
squeezed vacuum states. Backgrounds that are accelerating and expanding, or
decelerating and contracting, exhibit features consistent with chaotic
behavior, including linearly growing complexity. Remarkably, we uncover a bound
on the growth of complexity for both expanding and contracting backgrounds
$\lambda \leq \sqrt{2} \ |H|$, similar to other bounds proposed independently
in the literature. The bound is saturated for expanding backgrounds with an
equation of state more negative than $w = -5/3$, and for contracting
backgrounds with an equation of state larger than $w = 1$. For expanding
backgrounds that preserve the null energy condition, de Sitter space has the
largest rate of growth of complexity (identified as the Lyapunov exponent), and
we find a scrambling time that is similar to other estimates up to order one
factors.
| [
{
"created": "Thu, 21 May 2020 18:37:28 GMT",
"version": "v1"
}
] | 2020-08-24 | [
[
"Bhattacharyya",
"Arpan",
""
],
[
"Das",
"Saurya",
""
],
[
"Haque",
"S. Shajidul",
""
],
[
"Underwood",
"Bret",
""
]
] | We compute the circuit complexity of scalar curvature perturbations on FLRW cosmological backgrounds with fixed equation of state $w$ using the language of squeezed vacuum states. Backgrounds that are accelerating and expanding, or decelerating and contracting, exhibit features consistent with chaotic behavior, including linearly growing complexity. Remarkably, we uncover a bound on the growth of complexity for both expanding and contracting backgrounds $\lambda \leq \sqrt{2} \ |H|$, similar to other bounds proposed independently in the literature. The bound is saturated for expanding backgrounds with an equation of state more negative than $w = -5/3$, and for contracting backgrounds with an equation of state larger than $w = 1$. For expanding backgrounds that preserve the null energy condition, de Sitter space has the largest rate of growth of complexity (identified as the Lyapunov exponent), and we find a scrambling time that is similar to other estimates up to order one factors. |
1109.1685 | Farid Khelili | Farid Khelili | Noncommutative Complex Scalar Field and Casimir Effect | Revtex style, 28 pages | Phys. Rev. D 85, 125013, 2012 | 10.1103/PhysRevD.85.125013 | null | hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | A noncommutative complex scalar field, satisfying the deformed canonical
commutation relations proposed by Carmona et al. [27]-[31], is constructed.
Using these noncommutative deformed canonical commutation relations, a model
describing the dynamics of the noncommutative complex scalar field is proposed.
The noncommutative field equations are solved, and the vacuum energy is
calculated to the second order in the parameter of noncommutativity. As an
application to this model, the Casimir effect, due to the zero point
fluctuations of the noncommutative complex scalar field, is considered. It
turns out that in spite of its smallness, the noncommutativity gives rise to a
repulsive force at the microscopic level, leading to a modifed Casimr potential
with a minimum at the point amin= racine(5/84){\pi}{\theta}.
| [
{
"created": "Thu, 8 Sep 2011 10:46:47 GMT",
"version": "v1"
},
{
"created": "Sun, 18 Dec 2011 08:44:57 GMT",
"version": "v2"
}
] | 2012-06-19 | [
[
"Khelili",
"Farid",
""
]
] | A noncommutative complex scalar field, satisfying the deformed canonical commutation relations proposed by Carmona et al. [27]-[31], is constructed. Using these noncommutative deformed canonical commutation relations, a model describing the dynamics of the noncommutative complex scalar field is proposed. The noncommutative field equations are solved, and the vacuum energy is calculated to the second order in the parameter of noncommutativity. As an application to this model, the Casimir effect, due to the zero point fluctuations of the noncommutative complex scalar field, is considered. It turns out that in spite of its smallness, the noncommutativity gives rise to a repulsive force at the microscopic level, leading to a modifed Casimr potential with a minimum at the point amin= racine(5/84){\pi}{\theta}. |
2312.10021 | Tobias Canavesi | Tobias Canavesi | Holographic neutron stars at finite temperature | null | null | null | null | hep-th cond-mat.supr-con | http://creativecommons.org/licenses/by/4.0/ | We use gauge gravity duality to describe the strange metal phase of High
$T_c$ superconductors.
| [
{
"created": "Wed, 13 Dec 2023 23:49:31 GMT",
"version": "v1"
}
] | 2023-12-18 | [
[
"Canavesi",
"Tobias",
""
]
] | We use gauge gravity duality to describe the strange metal phase of High $T_c$ superconductors. |
1310.0827 | Junya Yagi | Yuan Luo, Meng-Chwan Tan and Junya Yagi | N=2 supersymmetric gauge theories and quantum integrable systems | 24 pages. v2: references added; v3: minor changes, published version | JHEP 03 (2014) 090 | 10.1007/JHEP03(2014)090 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study N=2 supersymmetric gauge theories on the product of a two-sphere and
a cylinder. We show that the low-energy dynamics of a BPS sector of such a
theory is described by a quantum integrable system, with the Planck constant
set by the inverse of the radius of the sphere. If the sphere is replaced with
a hemisphere, then our system reduces to an integrable system of the type
studied by Nekrasov and Shatashvili. In this case we establish a correspondence
between the effective prepotential of the gauge theory and the Yang-Yang
function of the integrable system.
| [
{
"created": "Wed, 2 Oct 2013 20:00:25 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Oct 2013 04:27:13 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Apr 2014 22:16:35 GMT",
"version": "v3"
}
] | 2014-04-03 | [
[
"Luo",
"Yuan",
""
],
[
"Tan",
"Meng-Chwan",
""
],
[
"Yagi",
"Junya",
""
]
] | We study N=2 supersymmetric gauge theories on the product of a two-sphere and a cylinder. We show that the low-energy dynamics of a BPS sector of such a theory is described by a quantum integrable system, with the Planck constant set by the inverse of the radius of the sphere. If the sphere is replaced with a hemisphere, then our system reduces to an integrable system of the type studied by Nekrasov and Shatashvili. In this case we establish a correspondence between the effective prepotential of the gauge theory and the Yang-Yang function of the integrable system. |
hep-th/9308141 | Donald Marolf | Donald Marolf | Poisson Bracket on the Space of Histories | 25 pages REVTEX, CGPG-93/8-4 (minor changes made) | Annals Phys. 236 (1994) 374-391 | 10.1006/aphy.1994.1116 | null | hep-th gr-qc | null | We extend the Poisson bracket from a Lie bracket of phase space functions to
a Lie bracket of functions on the space of canonical histories and investigate
the resulting algebras. Typically, such extensions define corresponding Lie
algebras on the space of Lagrangian histories via pull back to a space of
partial solutions. These are the same spaces of histories studied with regard
to path integration and decoherence. Such spaces of histories are familiar from
path integration and some studies of decoherence. For gauge systems, we extend
both the canonical and reduced Poisson brackets to the full space of histories.
We then comment on the use of such algebras in time reparameterization
invariant systems and systems with a Gribov ambiguity, though our main goal is
to introduce concepts and techniques for use in a companion paper.
| [
{
"created": "Mon, 30 Aug 1993 18:14:41 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Feb 1994 22:06:40 GMT",
"version": "v2"
}
] | 2009-10-22 | [
[
"Marolf",
"Donald",
""
]
] | We extend the Poisson bracket from a Lie bracket of phase space functions to a Lie bracket of functions on the space of canonical histories and investigate the resulting algebras. Typically, such extensions define corresponding Lie algebras on the space of Lagrangian histories via pull back to a space of partial solutions. These are the same spaces of histories studied with regard to path integration and decoherence. Such spaces of histories are familiar from path integration and some studies of decoherence. For gauge systems, we extend both the canonical and reduced Poisson brackets to the full space of histories. We then comment on the use of such algebras in time reparameterization invariant systems and systems with a Gribov ambiguity, though our main goal is to introduce concepts and techniques for use in a companion paper. |
1207.0926 | Richard Szabo | Dionysios Mylonas, Peter Schupp and Richard J. Szabo | Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds | 52 pages; v2: references added | null | 10.1007/JHEP09(2012)012 | HWM-12-08 , EMPG-12-12 | hep-th math-ph math.MP math.QA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop quantization techniques for describing the nonassociative geometry
probed by closed strings in flat non-geometric R-flux backgrounds M. Starting
from a suitable Courant sigma-model on an open membrane with target space M,
regarded as a topological sector of closed string dynamics in R-space, we
derive a twisted Poisson sigma-model on the boundary of the membrane whose
target space is the cotangent bundle T^*M and whose quasi-Poisson structure
coincides with those previously proposed. We argue that from the membrane
perspective the path integral over multivalued closed string fields in Q-space
is equivalent to integrating over open strings in R-space. The corresponding
boundary correlation functions reproduce Kontsevich's deformation quantization
formula for the twisted Poisson manifolds. For constant R-flux, we derive
closed formulas for the corresponding nonassociative star product and its
associator, and compare them with previous proposals for a 3-product of fields
on R-space. We develop various versions of the Seiberg-Witten map which relate
our nonassociative star products to associative ones and add fluctuations to
the R-flux background. We show that the Kontsevich formula coincides with the
star product obtained by quantizing the dual of a Lie 2-algebra via convolution
in an integrating Lie 2-group associated to the T-dual doubled geometry, and
hence clarify the relation to the twisted convolution products for topological
nonassociative torus bundles. We further demonstrate how our approach leads to
a consistent quantization of Nambu-Poisson 3-brackets.
| [
{
"created": "Wed, 4 Jul 2012 08:48:31 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2012 07:33:47 GMT",
"version": "v2"
}
] | 2015-06-05 | [
[
"Mylonas",
"Dionysios",
""
],
[
"Schupp",
"Peter",
""
],
[
"Szabo",
"Richard J.",
""
]
] | We develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M. Starting from a suitable Courant sigma-model on an open membrane with target space M, regarded as a topological sector of closed string dynamics in R-space, we derive a twisted Poisson sigma-model on the boundary of the membrane whose target space is the cotangent bundle T^*M and whose quasi-Poisson structure coincides with those previously proposed. We argue that from the membrane perspective the path integral over multivalued closed string fields in Q-space is equivalent to integrating over open strings in R-space. The corresponding boundary correlation functions reproduce Kontsevich's deformation quantization formula for the twisted Poisson manifolds. For constant R-flux, we derive closed formulas for the corresponding nonassociative star product and its associator, and compare them with previous proposals for a 3-product of fields on R-space. We develop various versions of the Seiberg-Witten map which relate our nonassociative star products to associative ones and add fluctuations to the R-flux background. We show that the Kontsevich formula coincides with the star product obtained by quantizing the dual of a Lie 2-algebra via convolution in an integrating Lie 2-group associated to the T-dual doubled geometry, and hence clarify the relation to the twisted convolution products for topological nonassociative torus bundles. We further demonstrate how our approach leads to a consistent quantization of Nambu-Poisson 3-brackets. |
0904.1133 | Andres Collinucci | Andres Collinucci, Pablo Soler, Angel M. Uranga | Non-perturbative effects and wall-crossing from topological strings | 44 pages, 5 figures. Major revisions, new results added, previous
results unchanged, refs added | JHEP 0911:025,2009 | 10.1088/1126-6708/2009/11/025 | IFT-UAM/CSIC-09-21, CERN-PH-TH/2009-045 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We argue that the Gopakumar-Vafa interpretation of the topological string
partition function can be used to compute and resum certain non-perturbative
brane instanton effects of type II CY compactifications. In particular the
topological string A-model encodes the non-perturbative corrections to the
hypermultiplet moduli space metric from general D1/D(-1)-brane instantons in 4d
N=2 IIB models. We also discuss the reduction to 4d N=1 by fluxes and/or
orientifolds and/or D-branes, and the prospects to resum brane instanton
contributions to non-perturbative superpotentials. We argue that the connection
between non-perturbative effects and the topological string underlies the
continuity of non-perturbative effects across lines of BPS stability. We also
confirm this statement in mirror B-model matrix model examples, relating matrix
model instantons to non-perturbative D-brane instantons. The computation of
non-perturbative effects from the topological string requires a 3d circle
compactification and T-duality, relating effects from particles and instantons,
reminiscent of that involved in the physical derivation of the
Kontsevich-Soibelmann wall-crossing formula.
| [
{
"created": "Tue, 7 Apr 2009 12:43:23 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Sep 2009 15:25:30 GMT",
"version": "v2"
}
] | 2009-11-13 | [
[
"Collinucci",
"Andres",
""
],
[
"Soler",
"Pablo",
""
],
[
"Uranga",
"Angel M.",
""
]
] | We argue that the Gopakumar-Vafa interpretation of the topological string partition function can be used to compute and resum certain non-perturbative brane instanton effects of type II CY compactifications. In particular the topological string A-model encodes the non-perturbative corrections to the hypermultiplet moduli space metric from general D1/D(-1)-brane instantons in 4d N=2 IIB models. We also discuss the reduction to 4d N=1 by fluxes and/or orientifolds and/or D-branes, and the prospects to resum brane instanton contributions to non-perturbative superpotentials. We argue that the connection between non-perturbative effects and the topological string underlies the continuity of non-perturbative effects across lines of BPS stability. We also confirm this statement in mirror B-model matrix model examples, relating matrix model instantons to non-perturbative D-brane instantons. The computation of non-perturbative effects from the topological string requires a 3d circle compactification and T-duality, relating effects from particles and instantons, reminiscent of that involved in the physical derivation of the Kontsevich-Soibelmann wall-crossing formula. |
1603.03212 | Yusuke Kimura | Yusuke Kimura | Gauge symmetries and matter fields in F-theory models without section-
compactifications on double cover and Fermat quartic K3 constructions times
K3 | 23 pages, some clarifications, references updated | Adv.Theor.Math.Phys. 21(2017), 2087-2114 | 10.4310/ATMP.2017.v21.n8.a5 | YITP-16-35 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate gauge theories and matter fields in F-theory compactifications
on genus-one fibered Calabi-Yau 4-folds without a global section. In this
study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a
genus-one fibered K3 surface that lacks a section times a K3 surface. We
consider i) double covers of $\mathbb{P}^1\times\mathbb{P}^1$ ramified along a
bidegree (4,4) curve, and ii) complete intersections of two bidegree (1,2)
hypersurfaces in $\mathbb{P}^1\times\mathbb{P}^3$ to construct genus-one
fibered K3 surfaces without a section. $E_7$ gauge group arises in some
F-theory compactifications on double covers times K3. We show that the tadpole
can be cancelled for an F-theory compactification on complete intersection K3
times K3, when complete intersection K3 is isomorphic to the Fermat quartic,
and the complex structure of the other K3 surface in the direct product is
appropriately chosen.
| [
{
"created": "Thu, 10 Mar 2016 10:36:35 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jul 2016 18:12:35 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Aug 2016 19:27:45 GMT",
"version": "v3"
},
{
"created": "Sun, 12 Feb 2017 18:13:07 GMT",
"version": "v4"
},
{
"c... | 2018-03-30 | [
[
"Kimura",
"Yusuke",
""
]
] | We investigate gauge theories and matter fields in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without a global section. In this study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a genus-one fibered K3 surface that lacks a section times a K3 surface. We consider i) double covers of $\mathbb{P}^1\times\mathbb{P}^1$ ramified along a bidegree (4,4) curve, and ii) complete intersections of two bidegree (1,2) hypersurfaces in $\mathbb{P}^1\times\mathbb{P}^3$ to construct genus-one fibered K3 surfaces without a section. $E_7$ gauge group arises in some F-theory compactifications on double covers times K3. We show that the tadpole can be cancelled for an F-theory compactification on complete intersection K3 times K3, when complete intersection K3 is isomorphic to the Fermat quartic, and the complex structure of the other K3 surface in the direct product is appropriately chosen. |
hep-th/9410108 | Alexander A. Voronov | Takashi Kimura (University of North Carolina) and Alexander A. Voronov
(University of Pennsylvania) | The Cohomology of Algebras over Moduli Spaces | 29 pages, including figures (A few inaccuracies corrected, the
reference list expanded) | null | null | null | hep-th math.QA | null | The purpose of this paper is to introduce the cohomology of various algebras
over an operad of moduli spaces including the cohomology of conformal field
theories (CFT's) and vertex operator algebras (VOA's). This cohomology theory
produces a number of invariants of CFT's and VOA's, one of which is the space
of their infinitesimal deformations.
| [
{
"created": "Sat, 15 Oct 1994 22:43:43 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 1994 19:56:51 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kimura",
"Takashi",
"",
"University of North Carolina"
],
[
"Voronov",
"Alexander A.",
"",
"University of Pennsylvania"
]
] | The purpose of this paper is to introduce the cohomology of various algebras over an operad of moduli spaces including the cohomology of conformal field theories (CFT's) and vertex operator algebras (VOA's). This cohomology theory produces a number of invariants of CFT's and VOA's, one of which is the space of their infinitesimal deformations. |
1206.6924 | Makoto Natsuume | Yoshinori Matsuo, Makoto Natsuume, Masahiro Ohta, Takashi Okamura | The Incompressible Rindler fluid versus the Schwarzschild-AdS fluid | 18 pages, PTEPHY; v2: added discussion | null | 10.1093/ptep/pts069 | KEK-TH-1554 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the proposal by Bredberg et al. (1006.1902), where the fluid is
defined by the Brown-York tensor on a timelike surface at r=r_c in black hole
backgrounds. We consider both Rindler space and the Schwarzschild-AdS (SAdS)
black hole. The former describes an incompressible fluid, whereas the latter
describes the vanishing bulk viscosity at arbitrary r_c, but these two results
do not contradict with each other. We also find an interesting "coincidence"
with the black hole membrane paradigm which gives a negative bulk viscosity. In
order to show these results, we rewrite the hydrodynamic stress tensor via
metric perturbations using the conservation equation. The resulting expressions
are suitable to compare with the Brown-York tensor.
| [
{
"created": "Fri, 29 Jun 2012 01:07:30 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2013 04:14:08 GMT",
"version": "v2"
}
] | 2016-06-21 | [
[
"Matsuo",
"Yoshinori",
""
],
[
"Natsuume",
"Makoto",
""
],
[
"Ohta",
"Masahiro",
""
],
[
"Okamura",
"Takashi",
""
]
] | We study the proposal by Bredberg et al. (1006.1902), where the fluid is defined by the Brown-York tensor on a timelike surface at r=r_c in black hole backgrounds. We consider both Rindler space and the Schwarzschild-AdS (SAdS) black hole. The former describes an incompressible fluid, whereas the latter describes the vanishing bulk viscosity at arbitrary r_c, but these two results do not contradict with each other. We also find an interesting "coincidence" with the black hole membrane paradigm which gives a negative bulk viscosity. In order to show these results, we rewrite the hydrodynamic stress tensor via metric perturbations using the conservation equation. The resulting expressions are suitable to compare with the Brown-York tensor. |
hep-th/9902018 | Arkady Vainshtein | Mikhail Shifman and Arkady Vainshtein | Instantons Versus Supersymmetry: Fifteen Years Later | Latex, 142 pages, 5 figures. Few references and comments are added,
few misprints in equations are corrected | null | null | TPI-MINN-99/08-T, UMN-TH-1743/99 | hep-th | null | An introduction to the instanton formalism in supersymmetric gauge theories
is given. We explain how the instanton calculations, in conjunction with
analyticity in chiral parameters and other general properties following from
supersymmetry, allow one to establish exact results in the weak and strong
coupling regimes. Some key applications are reviewed, the main emphasis is put
on the mechanisms of the dynamical breaking of supersymmetry.
| [
{
"created": "Tue, 2 Feb 1999 00:50:16 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jul 1999 14:43:19 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Shifman",
"Mikhail",
""
],
[
"Vainshtein",
"Arkady",
""
]
] | An introduction to the instanton formalism in supersymmetric gauge theories is given. We explain how the instanton calculations, in conjunction with analyticity in chiral parameters and other general properties following from supersymmetry, allow one to establish exact results in the weak and strong coupling regimes. Some key applications are reviewed, the main emphasis is put on the mechanisms of the dynamical breaking of supersymmetry. |
hep-th/0612126 | Norma Mankoc Borstnik | N.S. Mankoc Borstnik, H.B. Nielsen | Involution requirement on a boundary makes massless fermions
compactified on a finite flat disk mass protected | 16 pages, revised extended version | null | null | null | hep-th | null | The genuine Kaluza-Klein-like theories--with no fields in addition to
gravity--have difficulties with the existence of massless spinors after the
compactification of some space dimensions \cite{witten}. We proposed (Phys.
Lett. B 633 (2006)771) such a boundary condition for spinors in 1+5
compactified on a flat disk that ensures masslessness of spinors in d=1+3 as
well as their chiral coupling to the corresponding background gauge field
(which solves equations of motion for a free field linear in the Riemann
curvature). In this paper we study the same toy model: M^{(1+3)} x M^{(2)},
looking this time for an involution which transforms a space of solutions of
Weyl equations in d=1+5 from the outside of the flat disk in x^5 and x^6 into
its inside, allowing massless spinor of only one handedness--and accordingly
assures mass protection--and of one charge--1/2--and infinitely many massive
spinors of the same charge, chirally coupled to the corresponding background
gauge field. We reformulate the operator of momentum so that it is Hermitean on
the vector space of spinor states obeying the involution boundary condition.
| [
{
"created": "Wed, 13 Dec 2006 09:33:57 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jan 2007 13:27:02 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Borstnik",
"N. S. Mankoc",
""
],
[
"Nielsen",
"H. B.",
""
]
] | The genuine Kaluza-Klein-like theories--with no fields in addition to gravity--have difficulties with the existence of massless spinors after the compactification of some space dimensions \cite{witten}. We proposed (Phys. Lett. B 633 (2006)771) such a boundary condition for spinors in 1+5 compactified on a flat disk that ensures masslessness of spinors in d=1+3 as well as their chiral coupling to the corresponding background gauge field (which solves equations of motion for a free field linear in the Riemann curvature). In this paper we study the same toy model: M^{(1+3)} x M^{(2)}, looking this time for an involution which transforms a space of solutions of Weyl equations in d=1+5 from the outside of the flat disk in x^5 and x^6 into its inside, allowing massless spinor of only one handedness--and accordingly assures mass protection--and of one charge--1/2--and infinitely many massive spinors of the same charge, chirally coupled to the corresponding background gauge field. We reformulate the operator of momentum so that it is Hermitean on the vector space of spinor states obeying the involution boundary condition. |
hep-th/0104012 | Takanori Sugihara | Takanori Sugihara and Masa-aki Taniguchi | Manifestation of a nontrivial vacuum in discrete light cone quantization | 4 pages, 2 figures, to appear in Phys. Rev. Lett | Phys.Rev.Lett. 87 (2001) 271601 | 10.1103/PhysRevLett.87.271601 | null | hep-th | null | We study a (1+1)-dimensional $\lambda\phi^4$ model with a light-cone zero
mode and constant external source to describe spontaneous symmetry breaking. In
the broken phase, we find degenerate vacua and discuss their stability based on
effective-potential analysis. The vacuum triviality is spurious in the broken
phase because these states have lower energy than Fock vacuum. Our results are
based on the variational principle.
| [
{
"created": "Mon, 2 Apr 2001 15:39:04 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Nov 2001 05:35:34 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Sugihara",
"Takanori",
""
],
[
"Taniguchi",
"Masa-aki",
""
]
] | We study a (1+1)-dimensional $\lambda\phi^4$ model with a light-cone zero mode and constant external source to describe spontaneous symmetry breaking. In the broken phase, we find degenerate vacua and discuss their stability based on effective-potential analysis. The vacuum triviality is spurious in the broken phase because these states have lower energy than Fock vacuum. Our results are based on the variational principle. |
2102.02217 | Manuel Reichert | Alfio Bonanno, Tobias Denz, Jan M. Pawlowski, Manuel Reichert | Reconstructing the graviton | 22 pages, 8 figures, 2 tables | SciPost Phys. 12, 001 (2022) | 10.21468/SciPostPhys.12.1.001 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reconstruct the Lorentzian graviton propagator in asymptotically safe
quantum gravity from Euclidean data. The reconstruction is applied to both the
dynamical fluctuation graviton and the background graviton propagator. We prove
that the spectral function of the latter necessarily has negative parts similar
to, and for the same reasons, as the gluon spectral function. In turn, the
spectral function of the dynamical graviton is positive. We argue that the
latter enters cross sections and other observables in asymptotically safe
quantum gravity. Hence, its positivity may hint at the unitarity of
asymptotically safe quantum gravity.
| [
{
"created": "Wed, 3 Feb 2021 19:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Jul 2021 15:56:26 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Oct 2021 13:31:29 GMT",
"version": "v3"
}
] | 2022-01-05 | [
[
"Bonanno",
"Alfio",
""
],
[
"Denz",
"Tobias",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Reichert",
"Manuel",
""
]
] | We reconstruct the Lorentzian graviton propagator in asymptotically safe quantum gravity from Euclidean data. The reconstruction is applied to both the dynamical fluctuation graviton and the background graviton propagator. We prove that the spectral function of the latter necessarily has negative parts similar to, and for the same reasons, as the gluon spectral function. In turn, the spectral function of the dynamical graviton is positive. We argue that the latter enters cross sections and other observables in asymptotically safe quantum gravity. Hence, its positivity may hint at the unitarity of asymptotically safe quantum gravity. |
hep-th/9710010 | Shinichi Nojiri | Tomoko Kadoyoshi, Shin'ichi Nojiri, Sergei D. Odintsov, and Akio
Sugamoto | Vacuum polarization of supersymmetric D-brane in the constant
electromagnetic field | LaTeX file, Few mistakes are corrected, conclusion is completely
changed | Mod.Phys.Lett.A13:1531-1538,1998 | 10.1142/S0217732398001601 | null | hep-th | null | We study the vacuum polarization of supersymmetric toroidal D-brane placed in
the constant electromagnetic field. Explicit calculation of the one-loop
effective potential is performed for membrane with constant magnetic or
electric background. We find the one-loop potentials vanish as the effect of
supersymmetry,
| [
{
"created": "Thu, 2 Oct 1997 08:45:40 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Apr 1998 05:30:05 GMT",
"version": "v2"
}
] | 2009-09-17 | [
[
"Kadoyoshi",
"Tomoko",
""
],
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Sugamoto",
"Akio",
""
]
] | We study the vacuum polarization of supersymmetric toroidal D-brane placed in the constant electromagnetic field. Explicit calculation of the one-loop effective potential is performed for membrane with constant magnetic or electric background. We find the one-loop potentials vanish as the effect of supersymmetry, |
1712.00620 | Chengyong Zhang | Cheng-Yong Zhang, Peng-Cheng Li, Bin Chen | Greybody factors for Spherically Symmetric Einstein-Gauss-Bonnet-de
Sitter black hole | 22 pages, 7 figures, Section 5 added | Phys. Rev. D 97, 044013 (2018) | 10.1103/PhysRevD.97.044013 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the greybody factors of the scalar fields in spherically symmetric
Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions. We derive the
greybody factors analytically for both minimally and non-minimally coupled
scalar fields. Moreover, we discuss the dependence of the greybody factor on
various parameters including the angular momentum number, the non-minimally
coupling constant, the spacetime dimension, the cosmological constant and the
Gauss-Bonnet coefficient in detail. We find that the non-minimal coupling may
suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance
the radiation.
| [
{
"created": "Sat, 2 Dec 2017 15:14:38 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Dec 2017 14:15:36 GMT",
"version": "v2"
},
{
"created": "Sat, 5 May 2018 09:01:37 GMT",
"version": "v3"
}
] | 2018-05-08 | [
[
"Zhang",
"Cheng-Yong",
""
],
[
"Li",
"Peng-Cheng",
""
],
[
"Chen",
"Bin",
""
]
] | We study the greybody factors of the scalar fields in spherically symmetric Einstein-Gauss-Bonnet-de Sitter black holes in higher dimensions. We derive the greybody factors analytically for both minimally and non-minimally coupled scalar fields. Moreover, we discuss the dependence of the greybody factor on various parameters including the angular momentum number, the non-minimally coupling constant, the spacetime dimension, the cosmological constant and the Gauss-Bonnet coefficient in detail. We find that the non-minimal coupling may suppress the Hawking radiation, while the Gauss-Bonnet coupling could enhance the radiation. |
1607.06750 | Chen-Te Ma | Xing Huang and Chen-Te Ma | Analysis of the Entanglement with Centers | 49 pages, 1 figure, minor changes, references added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We begin from the quantization algebras and constraint for analyzing the
choice of centers in the first-order formulation without losing generality.
Then we calculate the entanglement entropy in the non-interacting $p$-form
theory in $2p+2$ dimensional Euclidean flat background with an $S^{2p}$
entangling surface. The universal term of the entanglement entropy in the
non-interacting $p$-form theory is determined in terms of the universal terms
of the non-interacting zero-form theory. We also prove the strong subadditivity
in the non-interacting theory with the non-trivial centers. Finally, we
calculate the mutual information with centers in two-dimensional conformal
field theory. The result shows that the mutual information is independent of
the choice of centers.
| [
{
"created": "Fri, 22 Jul 2016 17:12:07 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 2016 10:14:11 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Feb 2020 05:30:58 GMT",
"version": "v3"
}
] | 2020-02-20 | [
[
"Huang",
"Xing",
""
],
[
"Ma",
"Chen-Te",
""
]
] | We begin from the quantization algebras and constraint for analyzing the choice of centers in the first-order formulation without losing generality. Then we calculate the entanglement entropy in the non-interacting $p$-form theory in $2p+2$ dimensional Euclidean flat background with an $S^{2p}$ entangling surface. The universal term of the entanglement entropy in the non-interacting $p$-form theory is determined in terms of the universal terms of the non-interacting zero-form theory. We also prove the strong subadditivity in the non-interacting theory with the non-trivial centers. Finally, we calculate the mutual information with centers in two-dimensional conformal field theory. The result shows that the mutual information is independent of the choice of centers. |
1508.04135 | Vasilis Stylianou | Ibrahima Bah, Vasilis Stylianou | Gravity duals of N=(0,2) SCFTs from M5-branes | 22 pages + 15 pages in Appendix | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe the general BPS system that governs the gravity duals of N=(0,2)
two-dimensional superconformal field theories in the low-energy limit of
M5-branes on a four-manifold, M4. In order to preserve supersymmetry, we
restrict to cases where the four-manifold is embedded in a Calabi-Yau fourfold
that is a sum of two line bundles over M4. We further reduce the N=(0,2) system
to describe the gravity duals of SCFTs with N=(0,4) and N=(2,2) supersymmetry.
In the first case, the solutions fit in the larger class of AdS3xS2xCY3
solutions of M-theory dual to N=(0,4) SCFTs. In the case of the N=(2,2)
theories, the near-horizon limit of M4 is necessarily a product of two constant
curvature Riemann surfaces whose metrics are governed by a pair of Liouville
equations.
| [
{
"created": "Mon, 17 Aug 2015 20:03:14 GMT",
"version": "v1"
}
] | 2015-08-19 | [
[
"Bah",
"Ibrahima",
""
],
[
"Stylianou",
"Vasilis",
""
]
] | We describe the general BPS system that governs the gravity duals of N=(0,2) two-dimensional superconformal field theories in the low-energy limit of M5-branes on a four-manifold, M4. In order to preserve supersymmetry, we restrict to cases where the four-manifold is embedded in a Calabi-Yau fourfold that is a sum of two line bundles over M4. We further reduce the N=(0,2) system to describe the gravity duals of SCFTs with N=(0,4) and N=(2,2) supersymmetry. In the first case, the solutions fit in the larger class of AdS3xS2xCY3 solutions of M-theory dual to N=(0,4) SCFTs. In the case of the N=(2,2) theories, the near-horizon limit of M4 is necessarily a product of two constant curvature Riemann surfaces whose metrics are governed by a pair of Liouville equations. |
hep-th/9803243 | Eric Ragoucy | E. Ragoucy and P. Sorba | Yangian realisations from finite W algebras | 26 pages, Latex2e | Commun.Math.Phys. 203 (1999) 551-572 | 10.1007/s002200050034 | CERN-TH/98-104, LAPTH-672/98 | hep-th math.QA | null | We construct an algebra homomorphism between the Yangian Y(sl(n)) and the
finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be
applied to determine properties of the finite dimensional representations of
such W-algebras.
| [
{
"created": "Mon, 30 Mar 1998 13:20:12 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Ragoucy",
"E.",
""
],
[
"Sorba",
"P.",
""
]
] | We construct an algebra homomorphism between the Yangian Y(sl(n)) and the finite W-algebras W(sl(np),n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras. |
hep-th/0010033 | Larisa Jonke | Ivan Andric, Larisa Jonke | Duality and quasiparticles in the Calogero-Sutherland model: Some exact
results | RevTeX, 10 pages | Phys. Rev. A65 (2002) 034707 | 10.1103/PhysRevA.65.034707 | IRB-TH-10/00 | hep-th cond-mat quant-ph | null | The quantum-mechanical many-body system with the potential proportional to
the pairwise inverse-square distance possesses a strong-weak coupling duality.
Based on this duality, particle and/or quasiparticle states are described as
SU(1,1) coherent states. The constructed quasiparticle states are of
hierarchical nature.
| [
{
"created": "Thu, 5 Oct 2000 15:18:55 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Andric",
"Ivan",
""
],
[
"Jonke",
"Larisa",
""
]
] | The quantum-mechanical many-body system with the potential proportional to the pairwise inverse-square distance possesses a strong-weak coupling duality. Based on this duality, particle and/or quasiparticle states are described as SU(1,1) coherent states. The constructed quasiparticle states are of hierarchical nature. |
0712.2725 | Krzysztof Kowalski | K. Kowalski, J. Rembielinski and K.A. Smolinski | Lorentz covariant statistical mechanics and thermodynamics of the
relativistic ideal gas and preferred frame | 7 figures | Phys.Rev.D76:045018,2007 | 10.1103/PhysRevD.76.045018 | null | hep-th astro-ph cond-mat.stat-mech | null | The Lorentz covariant classical and quantum statistical mechanics and
thermodynamics of an ideal relativistic gas of bradyons (particles slower than
light), luxons (particles moving with the speed of light) and tachyons
(hypothetical particles faster than light) is discussed. The Lorentz covariant
formulation is based on the preferred frame approach which among others enables
consistent, free of paradoxes description of tachyons. The thermodynamic
functions within the covariant approach are obtained both in classical and
quantum case.
| [
{
"created": "Mon, 17 Dec 2007 14:33:45 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2007 08:42:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kowalski",
"K.",
""
],
[
"Rembielinski",
"J.",
""
],
[
"Smolinski",
"K. A.",
""
]
] | The Lorentz covariant classical and quantum statistical mechanics and thermodynamics of an ideal relativistic gas of bradyons (particles slower than light), luxons (particles moving with the speed of light) and tachyons (hypothetical particles faster than light) is discussed. The Lorentz covariant formulation is based on the preferred frame approach which among others enables consistent, free of paradoxes description of tachyons. The thermodynamic functions within the covariant approach are obtained both in classical and quantum case. |
0902.0738 | Enrique Moreno | M. Buck, E.F. Moreno, F.A. Schaposnik | Local and Semi-local Vortices in Yang-Mills-Chern-Simons model | 10 pages, 2 figures | J.Phys.A42:205401,2009 | 10.1088/1751-8113/42/20/205401 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study BPS vortex configurations in three dimensional U(N) Yang-Mills
theories with Chern-Simons interaction coupled to scalar fields carrying
flavor. We consider two kind of configurations: local vortices (when the number
of flavors $N_f=N$), and semi-local vortices (when $N_f>N$). In both cases we
carefully analyze the electric and magnetic properties and present explicit
numerical solutions.
| [
{
"created": "Wed, 4 Feb 2009 15:52:50 GMT",
"version": "v1"
}
] | 2010-05-27 | [
[
"Buck",
"M.",
""
],
[
"Moreno",
"E. F.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] | We study BPS vortex configurations in three dimensional U(N) Yang-Mills theories with Chern-Simons interaction coupled to scalar fields carrying flavor. We consider two kind of configurations: local vortices (when the number of flavors $N_f=N$), and semi-local vortices (when $N_f>N$). In both cases we carefully analyze the electric and magnetic properties and present explicit numerical solutions. |
2403.02380 | Carlos Nunez | Niall T. Macpherson, Paul Merrikin and Carlos Nunez | Marginally deformed AdS$_5$/CFT$_4$ and spindle-like orbifolds | 37 pages and various appendices. Comments and references added. Final
version published in JHEP | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study marginal deformations of ${\cal N}=2$, $d=4$ long linear quiver CFTs
using the holographic description. We find a two-parameter family of AdS$_5$
solutions that generically break all of supersymmetry, but preserve ${\cal
N}=1$ for a particular tuning of the parameters. We study the G-structure of
the ${\cal N}=2$ "parent" and the ${\cal N}=1$ backgrounds and carefully
discuss the quantisation of charges in all cases. For the ${\cal N}=1$ and
${\cal N}=0$ cases, a picture emerges with "branes" back-reacted on either a
spindle or its higher dimensional analogue. Comments on the marginally deformed
dual CFTs are given, together with the study of some observables.
| [
{
"created": "Mon, 4 Mar 2024 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Mar 2024 20:59:07 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Jul 2024 13:55:18 GMT",
"version": "v3"
}
] | 2024-07-12 | [
[
"Macpherson",
"Niall T.",
""
],
[
"Merrikin",
"Paul",
""
],
[
"Nunez",
"Carlos",
""
]
] | We study marginal deformations of ${\cal N}=2$, $d=4$ long linear quiver CFTs using the holographic description. We find a two-parameter family of AdS$_5$ solutions that generically break all of supersymmetry, but preserve ${\cal N}=1$ for a particular tuning of the parameters. We study the G-structure of the ${\cal N}=2$ "parent" and the ${\cal N}=1$ backgrounds and carefully discuss the quantisation of charges in all cases. For the ${\cal N}=1$ and ${\cal N}=0$ cases, a picture emerges with "branes" back-reacted on either a spindle or its higher dimensional analogue. Comments on the marginally deformed dual CFTs are given, together with the study of some observables. |
0911.1535 | Alexios P. Polychronakos | Dario Capasso, Alexios P. Polychronakos | General static spherically symmetric solutions in Horava gravity | References added | Phys.Rev. D81 (2010) 084009 | 10.1103/PhysRevD.81.084009 | CCNY-HEP 09/6 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive general static spherically symmetric solutions in the Horava theory
of gravity with nonzero shift field. These represent "hedgehog" versions of
black holes with radial "hair" arising from the shift field. For the case of
the standard de Witt kinetic term (lambda =1) there is an infinity of solutions
that exhibit a deformed version of reparametrization invariance away from the
general relativistic limit. Special solutions also arise in the anisotropic
conformal point lambda = 1/3.
| [
{
"created": "Mon, 9 Nov 2009 20:56:29 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Nov 2009 02:58:36 GMT",
"version": "v2"
},
{
"created": "Sun, 15 Nov 2009 16:47:50 GMT",
"version": "v3"
}
] | 2020-03-06 | [
[
"Capasso",
"Dario",
""
],
[
"Polychronakos",
"Alexios P.",
""
]
] | We derive general static spherically symmetric solutions in the Horava theory of gravity with nonzero shift field. These represent "hedgehog" versions of black holes with radial "hair" arising from the shift field. For the case of the standard de Witt kinetic term (lambda =1) there is an infinity of solutions that exhibit a deformed version of reparametrization invariance away from the general relativistic limit. Special solutions also arise in the anisotropic conformal point lambda = 1/3. |
hep-th/0412178 | Christoph L\"udeling | Christoph L\"udeling | From Super-Yang-Mills to QCD | 27 pages | null | null | DESY-04-248 | hep-th | null | This article contains lecture notes of M. Shifman from the Saalburg Summer
School 2004. The topic is supersymmetric Yang-Mills theory, in particular the
gluino condensate in pure SUSY gluodynamics.
| [
{
"created": "Thu, 16 Dec 2004 16:14:51 GMT",
"version": "v1"
}
] | 2016-08-16 | [
[
"Lüdeling",
"Christoph",
""
]
] | This article contains lecture notes of M. Shifman from the Saalburg Summer School 2004. The topic is supersymmetric Yang-Mills theory, in particular the gluino condensate in pure SUSY gluodynamics. |
hep-th/0002196 | Alfio Bonanno | A. Bonanno, M. Reuter | Renormalization group improved black hole spacetimes | 46 pages, 7 figures, RevTeX | Phys.Rev. D62 (2000) 043008 | 10.1103/PhysRevD.62.043008 | INFNCT 03/00, MZ-TH/00-04 | hep-th gr-qc | null | We study the quantum gravitational effects in spherically symmetric black
hole spacetimes. The effective quantum spacetime felt by a point-like test mass
is constructed by ``renormalization group improving'' the Schwarzschild metric.
The key ingredient is the running Newton constant which is obtained from the
exact evolution equation for the effective average action. The conformal
structure of the quantum spacetime depends on its ADM-mass M and it is similar
to that of the classical Reissner-Nordstrom black hole. For M larger than,
equal to, and smaller than a certain critical mass $M_{\rm cr}$ the spacetime
has two, one and no horizon(s), respectively. Its Hawking temperature, specific
heat capacity and entropy are computed as a function of M. It is argued that
the black hole evaporation stops when M approaches $M_{\rm cr}$ which is of the
order of the Planck mass. In this manner a ``cold'' soliton-like remnant with
the near-horizon geometry of $AdS_2\times S^2$ is formed. As a consequence of
the quantum effects, the classical singularity at r=0 is either removed
completely or it is at least much milder than classically; in the first case
the quantum spacetime has a smooth de Sitter core which would be in accord with
the cosmic censorship hypothesis even if $M<M_{\rm cr}$.
| [
{
"created": "Wed, 23 Feb 2000 11:40:36 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bonanno",
"A.",
""
],
[
"Reuter",
"M.",
""
]
] | We study the quantum gravitational effects in spherically symmetric black hole spacetimes. The effective quantum spacetime felt by a point-like test mass is constructed by ``renormalization group improving'' the Schwarzschild metric. The key ingredient is the running Newton constant which is obtained from the exact evolution equation for the effective average action. The conformal structure of the quantum spacetime depends on its ADM-mass M and it is similar to that of the classical Reissner-Nordstrom black hole. For M larger than, equal to, and smaller than a certain critical mass $M_{\rm cr}$ the spacetime has two, one and no horizon(s), respectively. Its Hawking temperature, specific heat capacity and entropy are computed as a function of M. It is argued that the black hole evaporation stops when M approaches $M_{\rm cr}$ which is of the order of the Planck mass. In this manner a ``cold'' soliton-like remnant with the near-horizon geometry of $AdS_2\times S^2$ is formed. As a consequence of the quantum effects, the classical singularity at r=0 is either removed completely or it is at least much milder than classically; in the first case the quantum spacetime has a smooth de Sitter core which would be in accord with the cosmic censorship hypothesis even if $M<M_{\rm cr}$. |
1108.0149 | Osvaldo Pablo Santillan | O. P. Santillan | Killing-Yano tensors and some applications | 36 pages, no figures | JOURNAL OF MATHEMATICAL PHYSICS 53 (2012) 043509 | 10.1063/1.3698087 | null | hep-th gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The role of Killing and Killing-Yano tensors for studying the geodesic motion
of the particle and the superparticle in a curved background is reviewed.
Additionally the Papadopoulos list [74] for Killing-Yano tensors in G
structures is reproduced by studying the torsion types these structures admit.
The Papadopoulos list deals with groups G appearing in the Berger
classification, and we enlarge the list by considering additional G structures
which are not of the Berger type. Possible applications of these results in the
study of supersymmetric particle actions and in the AdS/CFT correspondence are
outlined.
| [
{
"created": "Sun, 31 Jul 2011 07:05:37 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2011 03:20:33 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Santillan",
"O. P.",
""
]
] | The role of Killing and Killing-Yano tensors for studying the geodesic motion of the particle and the superparticle in a curved background is reviewed. Additionally the Papadopoulos list [74] for Killing-Yano tensors in G structures is reproduced by studying the torsion types these structures admit. The Papadopoulos list deals with groups G appearing in the Berger classification, and we enlarge the list by considering additional G structures which are not of the Berger type. Possible applications of these results in the study of supersymmetric particle actions and in the AdS/CFT correspondence are outlined. |
1712.01370 | Tadashi Okazaki | Tadashi Okazaki, Douglas J. Smith | Matrix supergroup Chern-Simons models for vortex-antivortex systems | 62 pages, 5 figures; v3: published version in JHEP | JHEP 1802 (2018) 119 | 10.1007/JHEP02(2018)119 | DCPT-17/39; NCTS-TH/1716 | hep-th cond-mat.mes-hall cond-mat.str-el math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal
symmetry. We propose that the model describes a system consisting of $N$
vortices and $M$ antivortices involving $SU(p|q)$ internal spin degrees of
freedom. We present both classical and quantum ground state solutions, and
demonstrate the relation to Calogero models. We present evidence that a large
$N$ limit describes $SU(p|q)$ WZW models. In particular, we derive
$\widehat{\mathfrak{su}}(p|q)$ Kac-Moody algebras. We also present some results
on the calculation of the partition function involving a supersymmetric
generalization of the Hall-Littlewood polynomials, indicating the mock modular
properties.
| [
{
"created": "Mon, 4 Dec 2017 21:23:50 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Dec 2017 11:46:41 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Feb 2018 15:21:13 GMT",
"version": "v3"
}
] | 2018-03-01 | [
[
"Okazaki",
"Tadashi",
""
],
[
"Smith",
"Douglas J.",
""
]
] | We study a $U(N|M)$ supermatrix Chern-Simons model with an $SU(p|q)$ internal symmetry. We propose that the model describes a system consisting of $N$ vortices and $M$ antivortices involving $SU(p|q)$ internal spin degrees of freedom. We present both classical and quantum ground state solutions, and demonstrate the relation to Calogero models. We present evidence that a large $N$ limit describes $SU(p|q)$ WZW models. In particular, we derive $\widehat{\mathfrak{su}}(p|q)$ Kac-Moody algebras. We also present some results on the calculation of the partition function involving a supersymmetric generalization of the Hall-Littlewood polynomials, indicating the mock modular properties. |
2302.07539 | Yongjun Ahn | Yunseok Seo, Youngjun Ahn, Keun-Young Kim, Sang-Jin Sin, Kyung Kiu Kim | Impurity-Driven Metal-Insulator Transitions in Holography | 22 pages, 21 figures | null | 10.1007/JHEP06(2023)112 | null | hep-th cond-mat.str-el | http://creativecommons.org/licenses/by/4.0/ | In this work, we study Metal-Insulator transition in a holographic model
containing an interaction between the order parameter and charge-carrier
density. It turns out that the impurity density of this model can drive the
phase transition whose ordered phase corresponds to the insulating phase. The
temperature behavior of DC conductivity distinguishes the insulating phase from
the metal phase. We confirm this behavior by a numerical method and an analytic
calculation. As a byproduct, we show the existence of a `quantum phase
transition' supported by the Breitenlohner-Freedman bound argument.
| [
{
"created": "Wed, 15 Feb 2023 09:17:58 GMT",
"version": "v1"
}
] | 2023-07-05 | [
[
"Seo",
"Yunseok",
""
],
[
"Ahn",
"Youngjun",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Sin",
"Sang-Jin",
""
],
[
"Kim",
"Kyung Kiu",
""
]
] | In this work, we study Metal-Insulator transition in a holographic model containing an interaction between the order parameter and charge-carrier density. It turns out that the impurity density of this model can drive the phase transition whose ordered phase corresponds to the insulating phase. The temperature behavior of DC conductivity distinguishes the insulating phase from the metal phase. We confirm this behavior by a numerical method and an analytic calculation. As a byproduct, we show the existence of a `quantum phase transition' supported by the Breitenlohner-Freedman bound argument. |
0708.3148 | Hiroyuki Abe | Hiroyuki Abe, Tatsuo Kobayashi, Yuji Omura | R-symmetry, supersymmetry breaking and metastable vacua in global and
local supersymmetric theories | 29 pages, 1 figure | JHEP 0711:044,2007 | 10.1088/1126-6708/2007/11/044 | YITP-07-47, KUNS-2088 | hep-th hep-ph | null | We study N=1 global and local supersymmetric theories with a continuous
global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking.
We introduce explicit R-symmetry breaking terms into such models, in particular
a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can
lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking
terms by the structure of newly appeared SUSY stationary points as a
consequence of the R-breaking effect, which could make the SUSY breaking vacuum
metastable. We show that the R-breaking terms are basically divided into two
categories. One of them does not generate a SUSY solution, or yields SUSY
solutions that disappear in the case of supergravity when we tune a parameter
so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also
show that the general argument by Nelson and Seiberg for a dynamical SUSY
breaking still holds with a local SUSY except for a certain nontrivial case,
and present concrete examples of the exception.
| [
{
"created": "Thu, 23 Aug 2007 09:15:58 GMT",
"version": "v1"
}
] | 2009-06-10 | [
[
"Abe",
"Hiroyuki",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Omura",
"Yuji",
""
]
] | We study N=1 global and local supersymmetric theories with a continuous global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking. We introduce explicit R-symmetry breaking terms into such models, in particular a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking terms by the structure of newly appeared SUSY stationary points as a consequence of the R-breaking effect, which could make the SUSY breaking vacuum metastable. We show that the R-breaking terms are basically divided into two categories. One of them does not generate a SUSY solution, or yields SUSY solutions that disappear in the case of supergravity when we tune a parameter so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also show that the general argument by Nelson and Seiberg for a dynamical SUSY breaking still holds with a local SUSY except for a certain nontrivial case, and present concrete examples of the exception. |
0908.2477 | Tao Wang | Tower Wang | Cosmic Steps in Modeling Dark Energy | 6 pages, 5 figures, structure improved, reference added, results
unchanged | null | 10.1103/PhysRevD.80.101302 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The past and recent data analyses gave some hints of steps in dark energy.
Considering the dark energy as a dynamical scalar field, we investigate several
models with various steps: a step in the scalar potential, a step in the
kinetic term, a step in the energy density and a step in the equation-of-state
parameter w. These toy models provide a workable mechanism to generate steps
and features of dark energy. Remarkably, a single real scalar can cross w=-1
dynamically with a step in the kinetic term.
| [
{
"created": "Tue, 18 Aug 2009 11:24:42 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Oct 2009 16:38:59 GMT",
"version": "v2"
}
] | 2013-05-29 | [
[
"Wang",
"Tower",
""
]
] | The past and recent data analyses gave some hints of steps in dark energy. Considering the dark energy as a dynamical scalar field, we investigate several models with various steps: a step in the scalar potential, a step in the kinetic term, a step in the energy density and a step in the equation-of-state parameter w. These toy models provide a workable mechanism to generate steps and features of dark energy. Remarkably, a single real scalar can cross w=-1 dynamically with a step in the kinetic term. |
1711.11525 | Noppadol Mekareeya | Simone Giacomelli and Noppadol Mekareeya | Mirror theories of 3d $\mathcal{N}=2$ SQCD | 52 pages, 1 figure and many diagrams. Typos corrected, several
comments as well as Appendix A added. Published version in JHEP | null | 10.1007/JHEP03(2018)126 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using a recently proposed duality for $U(N)$ supersymmetric QCD (SQCD) in
three dimensions with monopole superpotential, in this paper we derive the
mirror dual description of $\mathcal{N}=2$ SQCD with unitary gauge group,
generalizing the known mirror dual description of abelian gauge theories. We
match the chiral ring of the dual theories and their partition functions on the
squashed sphere. We also conjecture a generalization for SQCD with orthogonal
and symplectic gauge groups.
| [
{
"created": "Thu, 30 Nov 2017 17:29:31 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2018 08:44:13 GMT",
"version": "v2"
}
] | 2018-03-23 | [
[
"Giacomelli",
"Simone",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] | Using a recently proposed duality for $U(N)$ supersymmetric QCD (SQCD) in three dimensions with monopole superpotential, in this paper we derive the mirror dual description of $\mathcal{N}=2$ SQCD with unitary gauge group, generalizing the known mirror dual description of abelian gauge theories. We match the chiral ring of the dual theories and their partition functions on the squashed sphere. We also conjecture a generalization for SQCD with orthogonal and symplectic gauge groups. |
hep-th/0411251 | R. Cartas-Fuentevilla | R. Cartas-Fuentevilla | Wilson loops and topological phases in closed string theory | 7 pages | Int.J.Theor.Phys. 45 (2006) 1659-1666 | 10.1007/s10773-006-9088-1 | null | hep-th | null | Using covariant phase space formulations for the natural topological
invariants associated with the world-surface in closed string theory, we find
that certain Wilson loops defined on the world-surface and that preserve
topological invariance, correspond to wave functionals for the vacuum state
with zero energy. The differences and similarities with the 2-dimensional QED
proposed by Schwinger early are discussed.
| [
{
"created": "Sat, 27 Nov 2004 01:39:50 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Cartas-Fuentevilla",
"R.",
""
]
] | Using covariant phase space formulations for the natural topological invariants associated with the world-surface in closed string theory, we find that certain Wilson loops defined on the world-surface and that preserve topological invariance, correspond to wave functionals for the vacuum state with zero energy. The differences and similarities with the 2-dimensional QED proposed by Schwinger early are discussed. |
1902.04053 | Suvendu Giri | Johan Bl{\aa}b\"ack, Ulf Danielsson, Giuseppe Dibitetto and Suvendu
Giri | Constructing stable de Sitter in M-theory from higher curvature
corrections | v2: Published version, 24 pages | JHEP09(2019)042 | 10.1007/JHEP09(2019)042 | ROM2F/2019/02, UUITP-6/19 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider dimensional reductions of M-theory on
$\mathbb{T}^{7}/\mathbb{Z}_{2}^{3}$ with the inclusion of arbitrary metric flux
and spacetime filling KK monopoles. With these ingredients at hand, we are able
to construct a novel family of non-supersymmetric yet tachyon free Minkowski
extrema. These solutions are supported by pure geometry with no extra need for
gauge fluxes and possess a fully stable perturbative mass spectrum, up to a
single flat direction. Such a direction corresponds to the overall internal
volume, with respect to which the scalar potential exhibits a no-scale
behavior. We then provide a mechanism that lifts the flat direction to give it
a positive squared mass while turning Mkw$_{4}$ into dS$_{4}$. The construction
makes use of the combined effect of $G_{7}$ flux and higher curvature
corrections. Our solution is scale separated and the quantum corrections are
small. Finally we speculate on novel possibilities when it comes to scale
hierarchies within a given construction of this type, and possible issues with
the choice of quantum vacuum.
| [
{
"created": "Mon, 11 Feb 2019 18:55:03 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Sep 2019 14:06:46 GMT",
"version": "v2"
}
] | 2019-09-27 | [
[
"Blåbäck",
"Johan",
""
],
[
"Danielsson",
"Ulf",
""
],
[
"Dibitetto",
"Giuseppe",
""
],
[
"Giri",
"Suvendu",
""
]
] | We consider dimensional reductions of M-theory on $\mathbb{T}^{7}/\mathbb{Z}_{2}^{3}$ with the inclusion of arbitrary metric flux and spacetime filling KK monopoles. With these ingredients at hand, we are able to construct a novel family of non-supersymmetric yet tachyon free Minkowski extrema. These solutions are supported by pure geometry with no extra need for gauge fluxes and possess a fully stable perturbative mass spectrum, up to a single flat direction. Such a direction corresponds to the overall internal volume, with respect to which the scalar potential exhibits a no-scale behavior. We then provide a mechanism that lifts the flat direction to give it a positive squared mass while turning Mkw$_{4}$ into dS$_{4}$. The construction makes use of the combined effect of $G_{7}$ flux and higher curvature corrections. Our solution is scale separated and the quantum corrections are small. Finally we speculate on novel possibilities when it comes to scale hierarchies within a given construction of this type, and possible issues with the choice of quantum vacuum. |
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