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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9510124
|
Yun Soo Myung
|
Jin Young Kim(Dongseo U.), H.W. Lee, Y.S. Myung(Inje U.)
|
Hawking temperature from scattering off the charged 2D black hole
|
12 pages 3 figures, RevTeX, to obtain figures contact author
(ysmyung@physics.inje.ac.kr)
|
Mod.Phys.Lett. A10 (1995) 2853
|
10.1142/S0217732395002994
|
INJE-TP-95-4
|
hep-th
| null |
The charged 2D black hole is visualized as presenting an potential barrier
$V^{OUT}(r^*)$ to on-coming tachyon wave. Since this takes the complicated
form, an approximate form $V^{APP}(r^*)$ is used for scattering analysis. We
calculate the reflection and transmission coefficients for scattering of
tachyon off the charged 2D black hole. The Hawking temperature is also derived
from the reflection coefficient by Bogoliubov transformation. In the limit of
$Q \to 0$, we recover the Hawking temperature of the 2D dilaton black hole.
|
[
{
"created": "Wed, 18 Oct 1995 08:08:26 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kim",
"Jin Young",
"",
"Dongseo U."
],
[
"Lee",
"H. W.",
"",
"Inje U."
],
[
"Myung",
"Y. S.",
"",
"Inje U."
]
] |
The charged 2D black hole is visualized as presenting an potential barrier $V^{OUT}(r^*)$ to on-coming tachyon wave. Since this takes the complicated form, an approximate form $V^{APP}(r^*)$ is used for scattering analysis. We calculate the reflection and transmission coefficients for scattering of tachyon off the charged 2D black hole. The Hawking temperature is also derived from the reflection coefficient by Bogoliubov transformation. In the limit of $Q \to 0$, we recover the Hawking temperature of the 2D dilaton black hole.
|
2309.12021
|
Jun-Bao Wu
|
Hao Ouyang, Jun-Bao Wu
|
More Fermionic Supersymmetric Wilson loops in Four Dimensions
|
v1, 18 pages, 4 figures; v2, minor changes, 18 pages, 4 figures; v3,
minor changes, 18 pages, 4 figures
|
Phys. Lett. B 853 (2024) 138649
|
10.1016/j.physletb.2024.138649
|
USTC-ICTS/PCFT-23-27, CJQS-2024-008
|
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We construct supersymmetric fermionic Wilson loops along general curves in
four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general
planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
theory. These loops are generalizations of the Zarembo loops and are
cohomologically equivalent to them. In $\mathcal{N}=4$ super Yang-Mills theory,
we compute their expectation values and verify the cohomological equivalence
relation up to the order $g^4$ in perturbation theory.
|
[
{
"created": "Thu, 21 Sep 2023 12:39:21 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 2024 02:32:00 GMT",
"version": "v2"
},
{
"created": "Tue, 30 Apr 2024 12:45:52 GMT",
"version": "v3"
}
] |
2024-05-01
|
[
[
"Ouyang",
"Hao",
""
],
[
"Wu",
"Jun-Bao",
""
]
] |
We construct supersymmetric fermionic Wilson loops along general curves in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory. These loops are generalizations of the Zarembo loops and are cohomologically equivalent to them. In $\mathcal{N}=4$ super Yang-Mills theory, we compute their expectation values and verify the cohomological equivalence relation up to the order $g^4$ in perturbation theory.
|
1508.00421
|
Dario Consoli
|
Massimo Bianchi and Dario Consoli
|
Simplifying one-loop amplitudes in superstring theory
|
38 pages plus appendices
|
JHEP 1601 (2016) 043
|
10.1007/JHEP01(2016)043
|
ROM2F/2015/10
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in
the RNS formalism, around vacuum configurations with open unoriented strings,
preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward
identities, in that they vanish for non MHV configurations (++++) and (-+++).
In the MHV case (--++) we drastically simplify their expressions. We then study
factorisation and the limiting IR and UV behaviour and find some unexpected
results. In particular no massless poles are exposed at generic values of the
modular parameter. Relying on the supersymmetric properties of our bosonic
amplitudes, we extend them to manifestly supersymmetric super-amplitudes and
compare our results with those obtained in the D=4 hybrid formalism, pointing
out difficulties in reconciling the two approaches for contributions from N=1,2
sectors.
|
[
{
"created": "Mon, 3 Aug 2015 14:06:57 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Mar 2016 18:15:17 GMT",
"version": "v2"
}
] |
2016-03-16
|
[
[
"Bianchi",
"Massimo",
""
],
[
"Consoli",
"Dario",
""
]
] |
We show that 4-point vector boson one-loop amplitudes, computed in ref.[1] in the RNS formalism, around vacuum configurations with open unoriented strings, preserving at least N=1 SUSY in D=4, satisfy the correct supersymmetry Ward identities, in that they vanish for non MHV configurations (++++) and (-+++). In the MHV case (--++) we drastically simplify their expressions. We then study factorisation and the limiting IR and UV behaviour and find some unexpected results. In particular no massless poles are exposed at generic values of the modular parameter. Relying on the supersymmetric properties of our bosonic amplitudes, we extend them to manifestly supersymmetric super-amplitudes and compare our results with those obtained in the D=4 hybrid formalism, pointing out difficulties in reconciling the two approaches for contributions from N=1,2 sectors.
|
1301.4191
|
Daniel Litim
|
K. Falls, D. F. Litim, K. Nikolakopoulos and C. Rahmede
|
A bootstrap strategy for asymptotic safety
|
4 pages, 1 figure, explanations and reference added
| null | null |
DO-TH 13/02; KA-TP-01-2013
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A search strategy for asymptotic safety is put forward and tested for a
simplified version of gravity in four dimensions using the renormalization
group. Taking the action to be a high-order polynomial of the Ricci scalar, a
self-consistent ultraviolet fixed point is found where curvature invariants
become increasingly irrelevant with increasing mass dimension. Intriguingly,
universal scaling exponents take near-Gaussian values despite the presence of
residual interactions. Asymptotic safety of metric gravity would seem in reach
if this pattern carries over to the full theory.
|
[
{
"created": "Thu, 17 Jan 2013 19:13:49 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Apr 2016 14:32:05 GMT",
"version": "v2"
}
] |
2016-04-08
|
[
[
"Falls",
"K.",
""
],
[
"Litim",
"D. F.",
""
],
[
"Nikolakopoulos",
"K.",
""
],
[
"Rahmede",
"C.",
""
]
] |
A search strategy for asymptotic safety is put forward and tested for a simplified version of gravity in four dimensions using the renormalization group. Taking the action to be a high-order polynomial of the Ricci scalar, a self-consistent ultraviolet fixed point is found where curvature invariants become increasingly irrelevant with increasing mass dimension. Intriguingly, universal scaling exponents take near-Gaussian values despite the presence of residual interactions. Asymptotic safety of metric gravity would seem in reach if this pattern carries over to the full theory.
|
1409.0276
|
Yoshiharu Kawamura
|
Yoshiharu Kawamura
|
Release of physical modes from unphysical fields
|
12 pages, typos corrected
|
Int. J. Mod. Phys. A 30, (2015) 1550056
|
10.1142/S0217751X15500566
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a basic idea and a toy model that physical modes originate from
unobservable fields. The model is defined on a higher-dimensional space-time
and has fermionic symmetries that make fields unphysical, and observable modes
can appear through a dimensional reduction.
|
[
{
"created": "Mon, 1 Sep 2014 01:22:50 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Oct 2014 23:47:56 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Oct 2014 03:48:22 GMT",
"version": "v3"
},
{
"created": "Tue, 17 Feb 2015 06:42:43 GMT",
"version": "v4"
},
{
"created": "Wed, 30 Sep 2015 04:35:29 GMT",
"version": "v5"
}
] |
2015-10-01
|
[
[
"Kawamura",
"Yoshiharu",
""
]
] |
We present a basic idea and a toy model that physical modes originate from unobservable fields. The model is defined on a higher-dimensional space-time and has fermionic symmetries that make fields unphysical, and observable modes can appear through a dimensional reduction.
|
hep-th/0606164
|
Eugen-Mihaita Cioroianu
|
E. M. Cioroianu, S. C. Sararu
|
PT-symmetry breaking hamiltonian interactions in BF models
|
22 pages
|
Int.J.Mod.Phys.A21:2573-2599,2006
|
10.1142/S0217751X06029089
| null |
hep-th
| null |
The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq
4$ spacetime dimensions that can be added to an abelian BF model involving a
set of scalar fields, two sorts of one-forms, and a system of two-forms are
obtained by means of the hamiltonian deformation procedure based on local BRST
cohomology. This paper enhances one of our previous works, where only
PT-invariant deformations were considered. The associated coupled theory is an
interacting, topological BF model exhibiting an open gauge algebra and on-shell
reducibility relations.
|
[
{
"created": "Sat, 17 Jun 2006 10:49:45 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Cioroianu",
"E. M.",
""
],
[
"Sararu",
"S. C.",
""
]
] |
The PT-symmetry breaking, consistent hamiltonian interactions in all $n\geq 4$ spacetime dimensions that can be added to an abelian BF model involving a set of scalar fields, two sorts of one-forms, and a system of two-forms are obtained by means of the hamiltonian deformation procedure based on local BRST cohomology. This paper enhances one of our previous works, where only PT-invariant deformations were considered. The associated coupled theory is an interacting, topological BF model exhibiting an open gauge algebra and on-shell reducibility relations.
|
1611.02622
|
Gabriel Weber
|
A. Melikyan and G. Weber
|
On the quantization of continuous non-ultralocal integrable systems
|
33 pages, extended version of arXiv:1505.01516
|
Nuclear Physics B (2016), vol 913C, pp. 716-746
|
10.1016/j.nuclphysb.2016.10.009
| null |
hep-th nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the quantization of non-ultralocal integrable models directly in
the continuous case, using the example of the Alday-Arutyunov-Frolov model. We
show that by treating fields as distributions and regularizing the operator
product, it is possible to avoid all the singularities, and allow to obtain
results consistent with perturbative calculations. We illustrate these results
by considering the reduction to the massive free fermion model and extracting
the quantum Hamiltonian as well as other conserved charges directly from the
regularized trace identities. Moreover, we show that our regularization
recovers Maillet's prescription in the classical limit.
|
[
{
"created": "Tue, 8 Nov 2016 17:33:50 GMT",
"version": "v1"
}
] |
2016-11-09
|
[
[
"Melikyan",
"A.",
""
],
[
"Weber",
"G.",
""
]
] |
We discuss the quantization of non-ultralocal integrable models directly in the continuous case, using the example of the Alday-Arutyunov-Frolov model. We show that by treating fields as distributions and regularizing the operator product, it is possible to avoid all the singularities, and allow to obtain results consistent with perturbative calculations. We illustrate these results by considering the reduction to the massive free fermion model and extracting the quantum Hamiltonian as well as other conserved charges directly from the regularized trace identities. Moreover, we show that our regularization recovers Maillet's prescription in the classical limit.
|
2405.20422
|
Elizabeth Winstanley
|
Jacob C. Thompson and Elizabeth Winstanley
|
Quantum-corrected anti-de Sitter space-time
|
18 pages, 11 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the back-reaction of a quantum scalar field on anti-de Sitter (AdS)
space-time. The renormalized expectation value of the stress-energy tensor
operator for a massless, conformally-coupled quantum scalar field on global AdS
space-time in four space-time dimensions acts as a source term on the
right-hand-side of the Einstein equations for the quantum-corrected metric. We
solve the quantum-corrected Einstein equations numerically and find deviations
from pure AdS which increase as the temperature of the quantum scalar field
state increases. We interpret these quantum-corrected metrics as
asymptotically-AdS solitons, and study the mass of these solitons as a function
of the temperature of the quantum scalar field.
|
[
{
"created": "Thu, 30 May 2024 18:56:25 GMT",
"version": "v1"
}
] |
2024-06-03
|
[
[
"Thompson",
"Jacob C.",
""
],
[
"Winstanley",
"Elizabeth",
""
]
] |
We study the back-reaction of a quantum scalar field on anti-de Sitter (AdS) space-time. The renormalized expectation value of the stress-energy tensor operator for a massless, conformally-coupled quantum scalar field on global AdS space-time in four space-time dimensions acts as a source term on the right-hand-side of the Einstein equations for the quantum-corrected metric. We solve the quantum-corrected Einstein equations numerically and find deviations from pure AdS which increase as the temperature of the quantum scalar field state increases. We interpret these quantum-corrected metrics as asymptotically-AdS solitons, and study the mass of these solitons as a function of the temperature of the quantum scalar field.
|
2211.16959
|
Matsuo Sato
|
Matsuo Sato, Kunihito Uzawa
|
Path-integrals of perturbative superstrings on curved backgrounds from
string geometry theory
|
27 pages, 1 figure. arXiv admin note: substantial text overlap with
arXiv:2203.16304
| null |
10.1103/PhysRevD.107.066023
| null |
hep-th gr-qc hep-ph math.DG math.SG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
String geometry theory is one of the candidates of the non-perturbative
formulation of string theory. In this paper, from the string geometry theory,
we derive path-integrals of perturbative superstrings on all the string
backgrounds, $G_{\mu\nu}(x)$ and $B_{\mu\nu}(x)$, by considering fluctuations
around the string background configurations, which are parametrized by the
string backgrounds.
|
[
{
"created": "Wed, 30 Nov 2022 13:05:22 GMT",
"version": "v1"
}
] |
2023-04-05
|
[
[
"Sato",
"Matsuo",
""
],
[
"Uzawa",
"Kunihito",
""
]
] |
String geometry theory is one of the candidates of the non-perturbative formulation of string theory. In this paper, from the string geometry theory, we derive path-integrals of perturbative superstrings on all the string backgrounds, $G_{\mu\nu}(x)$ and $B_{\mu\nu}(x)$, by considering fluctuations around the string background configurations, which are parametrized by the string backgrounds.
|
0812.4140
|
Sotirios Bonanos
|
Sotirios Bonanos, Joaquim Gomis
|
Infinite Sequence of Poincare Group Extensions: Structure and Dynamics
|
19 pages, v3: significant improvement in the physical interpretation;
several new references added. Final version, to appear in J. Phys. A.: Math.
Theor
|
J.Phys.A43:015201,2010
|
10.1088/1751-8113/43/1/015201
|
hep-th.sbonano.14106
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the structure and dynamics of the infinite sequence of extensions of
the Poincar{\'e} algebra whose method of construction was described in a
previous paper [1]. We give explicitly the Maurer-Cartan (MC) 1-forms of the
extended Lie algebras up to level three. Using these forms and introducing a
corresponding set of new dynamical couplings, we construct an invariant
Lagrangian, which describes the dynamics of a distribution of charged particles
in an external electromagnetic field. At each extension, the distribution is
approximated by a set of moments about the world line of its center of mass and
the field by its Taylor series expansion about the same line. The equations of
motion after the second extensions contain back-reaction terms of the moments
on the world line.
|
[
{
"created": "Mon, 22 Dec 2008 09:46:04 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 10:50:08 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Nov 2009 08:30:17 GMT",
"version": "v3"
}
] |
2009-12-15
|
[
[
"Bonanos",
"Sotirios",
""
],
[
"Gomis",
"Joaquim",
""
]
] |
We study the structure and dynamics of the infinite sequence of extensions of the Poincar{\'e} algebra whose method of construction was described in a previous paper [1]. We give explicitly the Maurer-Cartan (MC) 1-forms of the extended Lie algebras up to level three. Using these forms and introducing a corresponding set of new dynamical couplings, we construct an invariant Lagrangian, which describes the dynamics of a distribution of charged particles in an external electromagnetic field. At each extension, the distribution is approximated by a set of moments about the world line of its center of mass and the field by its Taylor series expansion about the same line. The equations of motion after the second extensions contain back-reaction terms of the moments on the world line.
|
hep-th/9410216
|
Kumar S. Gupta
|
K.S.Gupta and A.Stern
|
4D Edge Currents from 5D Chern-Simons Theory
|
23 Pages, ISU-NP-94-12, UAHEP949
|
Nucl.Phys. B442 (1995) 157-178
|
10.1016/S0550-3213(95)00075-5
| null |
hep-th
| null |
A class of two dimensional conformal field theories is known to correspond to
three dimensional Chern-Simons theory. Here we claim that there is an analogous
class of four dimensional field theories corresponding to five dimensional
Chern-Simons theory. The four dimensional theories give a coupling between a
scalar field and an external divergenceless vector field and they may have some
application in magnetohydrodynamics. Like in conformal theories they possess a
diffeomorphism symmetry, which for us is along the direction of the vector
field, and their generators are analogous to Virasoro generators. Our analysis
of the abelian Chern-Simons system uses elementary canonical methods for the
quantization of field theories defined on manifolds with boundaries. Edge
states appear for these systems and they yield a four dimensional current
algebra. We examine the quantization of these algebras in several special cases
and claim that a renormalization of the $5D$ Chern-Simons coupling is necessary
for removing divergences.
|
[
{
"created": "Fri, 28 Oct 1994 01:29:48 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Gupta",
"K. S.",
""
],
[
"Stern",
"A.",
""
]
] |
A class of two dimensional conformal field theories is known to correspond to three dimensional Chern-Simons theory. Here we claim that there is an analogous class of four dimensional field theories corresponding to five dimensional Chern-Simons theory. The four dimensional theories give a coupling between a scalar field and an external divergenceless vector field and they may have some application in magnetohydrodynamics. Like in conformal theories they possess a diffeomorphism symmetry, which for us is along the direction of the vector field, and their generators are analogous to Virasoro generators. Our analysis of the abelian Chern-Simons system uses elementary canonical methods for the quantization of field theories defined on manifolds with boundaries. Edge states appear for these systems and they yield a four dimensional current algebra. We examine the quantization of these algebras in several special cases and claim that a renormalization of the $5D$ Chern-Simons coupling is necessary for removing divergences.
|
2108.01117
|
Gabriel Cuomo
|
Gabriel Cuomo, Zohar Komargodski, Avia Raviv-Moshe
|
Renormalization Group Flows on Line Defects
|
5 pages, 1 figure v2 added ref.s v3 minor corrections v4 matches
published version
|
Phys. Rev. Lett. 128, 021603 (2022)
|
10.1103/PhysRevLett.128.021603
| null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider line defects in d-dimensional Conformal Field Theories (CFTs).
The ambient CFT places nontrivial constraints on Renormalization Group (RG)
flows on such line defects. We show that the flow on line defects is
consequently irreversible and furthermore a canonical decreasing entropy
function exists. This construction generalizes the g theorem to line defects in
arbitrary dimensions. We demonstrate our results in a flow between Wilson loops
in 4 dimensions.
|
[
{
"created": "Mon, 2 Aug 2021 18:25:25 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Aug 2021 10:34:05 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Oct 2021 03:25:12 GMT",
"version": "v3"
},
{
"created": "Tue, 11 Jan 2022 15:59:38 GMT",
"version": "v4"
}
] |
2022-01-12
|
[
[
"Cuomo",
"Gabriel",
""
],
[
"Komargodski",
"Zohar",
""
],
[
"Raviv-Moshe",
"Avia",
""
]
] |
We consider line defects in d-dimensional Conformal Field Theories (CFTs). The ambient CFT places nontrivial constraints on Renormalization Group (RG) flows on such line defects. We show that the flow on line defects is consequently irreversible and furthermore a canonical decreasing entropy function exists. This construction generalizes the g theorem to line defects in arbitrary dimensions. We demonstrate our results in a flow between Wilson loops in 4 dimensions.
|
1706.05142
|
Antonio Sciarappa
|
Antonio Sciarappa
|
Exact relativistic Toda chain eigenfunctions from Separation of
Variables and gauge theory
|
85 pages, 6 tables, 21 figures
| null |
10.1007/JHEP10(2017)116
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide a proposal, motivated by Separation of Variables and gauge theory
arguments, for constructing exact solutions to the quantum Baxter equation
associated to the $N$-particle relativistic Toda chain and test our proposal
against numerical results. Quantum Mechanical non-perturbative corrections,
essential in order to obtain a sensible solution, are taken into account in our
gauge theory approach by considering codimension two defects on curved
backgrounds (squashed $S^5$ and degenerate limits) rather than flat space; this
setting also naturally incorporates exact quantization conditions and energy
spectrum of the relativistic Toda chain as well as its modular dual structure.
|
[
{
"created": "Fri, 16 Jun 2017 04:38:01 GMT",
"version": "v1"
}
] |
2017-11-22
|
[
[
"Sciarappa",
"Antonio",
""
]
] |
We provide a proposal, motivated by Separation of Variables and gauge theory arguments, for constructing exact solutions to the quantum Baxter equation associated to the $N$-particle relativistic Toda chain and test our proposal against numerical results. Quantum Mechanical non-perturbative corrections, essential in order to obtain a sensible solution, are taken into account in our gauge theory approach by considering codimension two defects on curved backgrounds (squashed $S^5$ and degenerate limits) rather than flat space; this setting also naturally incorporates exact quantization conditions and energy spectrum of the relativistic Toda chain as well as its modular dual structure.
|
1905.07380
|
Michelangelo Preti
|
Michelangelo Preti
|
The Game of Triangles
|
7 pages, 1 figure. Based on arXiv:1811.04935. Contribution for
proceedings of ACAT 2019 (Saas-Fee, Switzerland, March 10-15 2019)
| null |
10.1088/1742-6596/1525/1/012015
|
NORDITA 2019-047
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present STR (Star-Triangle Relations), a Mathematica package designed to
solve Feynman integrals by means of the method of uniqueness in any Euclidean
spacetime dimension. We provide a set of tools to draw Feynman diagrams and
interact with them only by the use of the mouse. Throughout the use of a
graphic interface, the package should be easily accessible to users with little
or no previous experience on diagrams computation.
|
[
{
"created": "Fri, 17 May 2019 17:24:07 GMT",
"version": "v1"
}
] |
2020-08-26
|
[
[
"Preti",
"Michelangelo",
""
]
] |
We present STR (Star-Triangle Relations), a Mathematica package designed to solve Feynman integrals by means of the method of uniqueness in any Euclidean spacetime dimension. We provide a set of tools to draw Feynman diagrams and interact with them only by the use of the mouse. Throughout the use of a graphic interface, the package should be easily accessible to users with little or no previous experience on diagrams computation.
|
hep-th/9707211
|
Beatriz Gato-Rivera
|
Beatriz Gato-Rivera
|
The Even and the Odd Spectral Flows on the N=2 Superconformal Algebras
|
15 pages, Latex. Minor improvements in the last paragraph of the
conclusions. Numbering of references has changed
|
Nucl.Phys. B512 (1998) 431-444
|
10.1016/S0550-3213(97)00689-5
|
NIKHEF 97-033, IMAFF-FM-97/03
|
hep-th
| null |
There are two different spectral flows on the N=2 superconformal algebras
(four in the case of the Topological algebra). The usual spectral flow, first
considered by Schwimmer and Seiberg, is an even transformation, whereas the
spectral flow previously considered by the author and Rosado is an odd
transformation. We show that the even spectral flow is generated by the odd
spectral flow, and therefore only the latter is fundamental. We also analyze
thoroughly the four ``topological'' spectral flows, writing two of them here
for the first time. Whereas the even and the odd spectral flows have
quasi-mirrored properties acting on the Antiperiodic or the Periodic algebras,
the topological even and odd spectral flows have drastically different
properties acting on the Topological algebra. The other two topological
spectral flows have mixed even and odd properties. We show that the even and
the even-odd topological spectral flows are generated by the odd and the
odd-even topological spectral flows, and therefore only the latter are
fundamental.
|
[
{
"created": "Thu, 24 Jul 1997 20:03:48 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Jul 1997 14:55:59 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gato-Rivera",
"Beatriz",
""
]
] |
There are two different spectral flows on the N=2 superconformal algebras (four in the case of the Topological algebra). The usual spectral flow, first considered by Schwimmer and Seiberg, is an even transformation, whereas the spectral flow previously considered by the author and Rosado is an odd transformation. We show that the even spectral flow is generated by the odd spectral flow, and therefore only the latter is fundamental. We also analyze thoroughly the four ``topological'' spectral flows, writing two of them here for the first time. Whereas the even and the odd spectral flows have quasi-mirrored properties acting on the Antiperiodic or the Periodic algebras, the topological even and odd spectral flows have drastically different properties acting on the Topological algebra. The other two topological spectral flows have mixed even and odd properties. We show that the even and the even-odd topological spectral flows are generated by the odd and the odd-even topological spectral flows, and therefore only the latter are fundamental.
|
1801.08833
|
Usman Kayani
|
U. Kayani
|
Symmetry enhancement of extremal horizons in D=5 supergravity
|
29 pages, latex
| null |
10.1088/1361-6382/aac30c
|
KCL-MTH-18-05
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the near-horizon geometry of supersymmetric extremal black holes
in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector
multiplets. By analyzing the global properties of the Killing spinors, we prove
that the near-horizon geometries undergo a supersymmetry enhancement. This
follows from a set of generalized Lichnerowicz-type theorems we establish,
together with an index theory argument. As a consequence, these solutions
always admit a $\mathfrak{sl}(2,\mathbb{R})$ symmetry group.
|
[
{
"created": "Fri, 26 Jan 2018 14:47:37 GMT",
"version": "v1"
},
{
"created": "Wed, 9 May 2018 00:19:34 GMT",
"version": "v2"
}
] |
2018-05-10
|
[
[
"Kayani",
"U.",
""
]
] |
We consider the near-horizon geometry of supersymmetric extremal black holes in un-gauaged and gauged 5-dimensional supergravity, coupled to abelian vector multiplets. By analyzing the global properties of the Killing spinors, we prove that the near-horizon geometries undergo a supersymmetry enhancement. This follows from a set of generalized Lichnerowicz-type theorems we establish, together with an index theory argument. As a consequence, these solutions always admit a $\mathfrak{sl}(2,\mathbb{R})$ symmetry group.
|
2112.10827
|
Jeremy Mann
|
Ilija Buric, Sylvain Lacroix, Jeremy A. Mann, Lorenzo Quintavalle and
Volker Schomerus
|
Gaudin Models and Multipoint Conformal Blocks III: Comb channel
coordinates and OPE factorisation
|
41 pages, 7 figures
| null |
10.1007/JHEP06(2022)144
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We continue the exploration of multipoint scalar comb channel blocks for
conformal field theories in 3D and 4D. The central goal here is to construct
novel comb channel cross ratios that are well adapted to perform projections
onto all intermediate primary fields. More concretely, our new set of cross
ratios includes three for each intermediate mixed symmetry tensor exchange.
These variables are designed such that the associated power series expansion
coincides with the sum over descendants. The leading term of this expansion is
argued to factorise into a product of lower point blocks. We establish this
remarkable factorisation property by studying the limiting behaviour of the
Gaudin Hamiltonians that are used to characterise multipoint conformal blocks.
For six points we can map the eigenvalue equations for the limiting Gaudin
differential operators to Casimir equations of spinning four-point blocks.
|
[
{
"created": "Mon, 20 Dec 2021 19:43:29 GMT",
"version": "v1"
}
] |
2022-07-13
|
[
[
"Buric",
"Ilija",
""
],
[
"Lacroix",
"Sylvain",
""
],
[
"Mann",
"Jeremy A.",
""
],
[
"Quintavalle",
"Lorenzo",
""
],
[
"Schomerus",
"Volker",
""
]
] |
We continue the exploration of multipoint scalar comb channel blocks for conformal field theories in 3D and 4D. The central goal here is to construct novel comb channel cross ratios that are well adapted to perform projections onto all intermediate primary fields. More concretely, our new set of cross ratios includes three for each intermediate mixed symmetry tensor exchange. These variables are designed such that the associated power series expansion coincides with the sum over descendants. The leading term of this expansion is argued to factorise into a product of lower point blocks. We establish this remarkable factorisation property by studying the limiting behaviour of the Gaudin Hamiltonians that are used to characterise multipoint conformal blocks. For six points we can map the eigenvalue equations for the limiting Gaudin differential operators to Casimir equations of spinning four-point blocks.
|
hep-th/0001200
|
Jaume Gomis
|
Jaume Gomis (Caltech)
|
D-branes on Orbifolds with Discrete Torsion And Topological Obstruction
|
16 pages, harvmac, clarification regarding relation with torsion in
homology
|
JHEP 0005 (2000) 006
|
10.1088/1126-6708/2000/05/006
| null |
hep-th
| null |
We find the orbifold analog of the topological relation recently found by
Freed and Witten which restricts the allowed D-brane configurations of Type II
vacua with a topologically non-trivial flat $B$-field. The result relies in
Douglas proposal -- which we derive from worldsheet consistency conditions --
of embedding projective representations on open string Chan-Paton factors when
considering orbifolds with discrete torsion. The orbifold action on open
strings gives a natural definition of the algebraic K-theory group -- using
twisted cross products -- responsible for measuring Ramond-Ramond charges in
orbifolds with discrete torsion. We show that the correspondence between
fractional branes and Ramond-Ramond fields follows in an interesting fashion
from the way that discrete torsion is implemented on open and closed strings.
|
[
{
"created": "Fri, 28 Jan 2000 17:21:22 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Mar 2000 23:30:27 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Gomis",
"Jaume",
"",
"Caltech"
]
] |
We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat $B$-field. The result relies in Douglas proposal -- which we derive from worldsheet consistency conditions -- of embedding projective representations on open string Chan-Paton factors when considering orbifolds with discrete torsion. The orbifold action on open strings gives a natural definition of the algebraic K-theory group -- using twisted cross products -- responsible for measuring Ramond-Ramond charges in orbifolds with discrete torsion. We show that the correspondence between fractional branes and Ramond-Ramond fields follows in an interesting fashion from the way that discrete torsion is implemented on open and closed strings.
|
hep-th/9511159
|
Valerie Nowak
|
Jnanadeva Maharana
|
M Theory and P-Branes
|
12 pages, no figures, revtex
|
Phys.Lett.B372:53-58,1996
|
10.1016/0370-2693(96)00064-0
|
IASSNS-HEP 95-98
|
hep-th
| null |
Ten dimensional type IIA and IIB theories with p-branes are compactified to
8-dimensions. It is shown that resulting branes can be classified according to
the representations of $\bf {SL(3,Z) \times SL(2,Z)}$. These p-branes can also
be obtained by compactification of M theory on three torus and various
wrappings of membrane and five brane of the eleven dimensional theory. It is
argued that there is evidence for bound states of the branes in eight
dimensions as is the case in the interpretation of $\bf {SL(2,Z)}$ family of
string solutions obtained by Schwarz.
|
[
{
"created": "Wed, 22 Nov 1995 19:19:07 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Nov 1995 20:40:48 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Maharana",
"Jnanadeva",
""
]
] |
Ten dimensional type IIA and IIB theories with p-branes are compactified to 8-dimensions. It is shown that resulting branes can be classified according to the representations of $\bf {SL(3,Z) \times SL(2,Z)}$. These p-branes can also be obtained by compactification of M theory on three torus and various wrappings of membrane and five brane of the eleven dimensional theory. It is argued that there is evidence for bound states of the branes in eight dimensions as is the case in the interpretation of $\bf {SL(2,Z)}$ family of string solutions obtained by Schwarz.
|
1309.7413
|
Abhishek Pathak
|
Chi-Ming Chang, Abhishek Pathak, Andrew Strominger
|
Non-Minimal Higher-Spin DS4/CFT3
| null | null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We conjecture that the level k U(N) Chern-Simons theory coupled to free
anticommuting scalar matter in the fundamental is dual to non-minmal
higher-spin Vasiliev gravity in dS4 with parity-violating phase \theta0 = \pi
N/2k and Neumann boundary conditions for the scalar. Related conjectures are
made for fundamental commuting spinor matter and critical theories. This
generalizes a recent conjecture relating the minimal Type A Vasiliev theory in
dS4 to the Sp(N) model with fundamental real anti-commuting scalars.
|
[
{
"created": "Sat, 28 Sep 2013 03:00:51 GMT",
"version": "v1"
}
] |
2013-10-01
|
[
[
"Chang",
"Chi-Ming",
""
],
[
"Pathak",
"Abhishek",
""
],
[
"Strominger",
"Andrew",
""
]
] |
We conjecture that the level k U(N) Chern-Simons theory coupled to free anticommuting scalar matter in the fundamental is dual to non-minmal higher-spin Vasiliev gravity in dS4 with parity-violating phase \theta0 = \pi N/2k and Neumann boundary conditions for the scalar. Related conjectures are made for fundamental commuting spinor matter and critical theories. This generalizes a recent conjecture relating the minimal Type A Vasiliev theory in dS4 to the Sp(N) model with fundamental real anti-commuting scalars.
|
0712.0324
|
Nathan Berkovits
|
Nathan Berkovits (IFT-UNESP, Sao Paulo)
|
Explaining the Pure Spinor Formalism for the Superstring
|
Added two footnotes and references to Baulieu et al
|
JHEP0801:065,2008
|
10.1088/1126-6708/2008/01/065
|
IFT-P.019/2007
|
hep-th
| null |
After adding a pair of non-minimal fields and performing a similarity
transformation, the BRST operator in the pure spinor formalism is expressed as
a conventional-looking BRST operator involving the Virasoro constraint and
(b,c) ghosts, together with 12 fermionic constraints. This BRST operator can be
obtained by gauge-fixing the Green-Schwarz superstring where the 8 first-class
and 8 second-class Green-Schwarz constraints are combined into 12 first-class
constraints. Alternatively, the pure spinor BRST operator can be obtained from
the RNS formalism by twisting the ten spin-half RNS fermions into five spin-one
and five spin-zero fermions, and using the SO(10)/U(5) pure spinor variables to
parameterize the different ways of twisting. GSO(-) vertex operators in the
pure spinor formalism are constructed using spin fields and picture-changing
operators in a manner analogous to Ramond vertex operators in the RNS
formalism.
|
[
{
"created": "Mon, 3 Dec 2007 19:03:32 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2007 21:57:54 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Berkovits",
"Nathan",
"",
"IFT-UNESP, Sao Paulo"
]
] |
After adding a pair of non-minimal fields and performing a similarity transformation, the BRST operator in the pure spinor formalism is expressed as a conventional-looking BRST operator involving the Virasoro constraint and (b,c) ghosts, together with 12 fermionic constraints. This BRST operator can be obtained by gauge-fixing the Green-Schwarz superstring where the 8 first-class and 8 second-class Green-Schwarz constraints are combined into 12 first-class constraints. Alternatively, the pure spinor BRST operator can be obtained from the RNS formalism by twisting the ten spin-half RNS fermions into five spin-one and five spin-zero fermions, and using the SO(10)/U(5) pure spinor variables to parameterize the different ways of twisting. GSO(-) vertex operators in the pure spinor formalism are constructed using spin fields and picture-changing operators in a manner analogous to Ramond vertex operators in the RNS formalism.
|
hep-th/0602124
|
Feng-Li Lin
|
Feng-Li Lin and Wen-Yu Wen
|
Supersymmteric Null-like Holographic Cosmologies
|
26 pages;v2 references added
|
JHEP0605:013,2006
|
10.1088/1126-6708/2006/05/013
| null |
hep-th astro-ph gr-qc hep-ph
| null |
We construct a new class of 1/4-BPS time dependent domain-wall solutions with
null-like metric and dilaton in type II supergravities, which admit a null-like
big bang singularity. Based on the domain-wall/QFT correspondence, these
solutions are dual to 1/4-supersymmetric quantum field theories living on a
boundary cosmological background with time dependent coupling constant and UV
cutoff. In particular we evaluate the holographic $c$ function for the
2-dimensional dual field theory living on the corresponding null-like
cosmology. We find that this $c$ function runs in accordance with the
$c$-theorem as the boundary universe evolves, this means that the number of
degrees of freedom is divergent at big bang and suggests the possible
resolution of big bang singularity.
|
[
{
"created": "Mon, 13 Feb 2006 07:13:01 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Mar 2006 10:56:35 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Lin",
"Feng-Li",
""
],
[
"Wen",
"Wen-Yu",
""
]
] |
We construct a new class of 1/4-BPS time dependent domain-wall solutions with null-like metric and dilaton in type II supergravities, which admit a null-like big bang singularity. Based on the domain-wall/QFT correspondence, these solutions are dual to 1/4-supersymmetric quantum field theories living on a boundary cosmological background with time dependent coupling constant and UV cutoff. In particular we evaluate the holographic $c$ function for the 2-dimensional dual field theory living on the corresponding null-like cosmology. We find that this $c$ function runs in accordance with the $c$-theorem as the boundary universe evolves, this means that the number of degrees of freedom is divergent at big bang and suggests the possible resolution of big bang singularity.
|
2107.00182
|
Masoumeh Tavakoli
|
Niloofar Abbasvandi, Masoumeh Tavakoli and Robert B. Mann
|
Thermodynamics of Dyonic NUT Charged Black Holes with Entropy as Noether
Charge
|
23 pages, 25 figures
| null |
10.1007/JHEP08(2021)152
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the thermodynamic behaviour of Lorentzian Dyonic Taub-NUT
Black Hole spacetimes. We consider two possibilities in their description: one
in which their entropy is interpreted to be one quarter of the horizon area
(the horizon entropy), and another in which the Misner string also contributes
to the entropy (the Noether charge entropy). We find that there can be as many
as three extremal black holes (or as few as zero) depending on the choice of
parameters, and that the dependence of the free energy on temperature -- and
the resultant phase behaviour -- depends very much on which of these situations
holds. Some of the phase behaviour we observe holds regardless of which
interpretation of the entropy holds. However another class of phase transition
structures occurs only if the Noether charge interpretation of the entropy is
adopted.
|
[
{
"created": "Thu, 1 Jul 2021 02:23:24 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Jul 2021 05:24:14 GMT",
"version": "v2"
}
] |
2021-09-15
|
[
[
"Abbasvandi",
"Niloofar",
""
],
[
"Tavakoli",
"Masoumeh",
""
],
[
"Mann",
"Robert B.",
""
]
] |
We investigate the thermodynamic behaviour of Lorentzian Dyonic Taub-NUT Black Hole spacetimes. We consider two possibilities in their description: one in which their entropy is interpreted to be one quarter of the horizon area (the horizon entropy), and another in which the Misner string also contributes to the entropy (the Noether charge entropy). We find that there can be as many as three extremal black holes (or as few as zero) depending on the choice of parameters, and that the dependence of the free energy on temperature -- and the resultant phase behaviour -- depends very much on which of these situations holds. Some of the phase behaviour we observe holds regardless of which interpretation of the entropy holds. However another class of phase transition structures occurs only if the Noether charge interpretation of the entropy is adopted.
|
2206.13340
|
Masahito Yamazaki
|
Dmitry Galakhov, Wei Li, Masahito Yamazaki
|
Gauge/Bethe correspondence from quiver BPS algebras
|
109 pages, 4 figures
| null |
10.1007/JHEP11(2022)119
| null |
hep-th math-ph math.MP math.QA math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Gauge/Bethe correspondence for two-dimensional
$\mathcal{N}=(2,2)$ supersymmetric quiver gauge theories associated with toric
Calabi-Yau three-folds, whose BPS algebras have recently been identified as the
quiver Yangians. We start with the crystal representations of the quiver
Yangian, which are placed at each site of the spin chain. We then construct
integrable models by combining the single-site crystals into crystal chains by
a coproduct of the algebra, which we determine by a combination of
representation-theoretical and gauge-theoretical arguments. For non-chiral
quivers, we find that the Bethe ansatz equations for the crystal chain coincide
with the vacuum equation of the quiver gauge theory, thus confirming the
corresponding Gauge/Bethe correspondence. For more general chiral quivers,
however, we find obstructions to the $R$-matrices satisfying the Yang-Baxter
equations and the unitarity conditions, and hence to their corresponding
Gauge/Bethe correspondence. We also discuss trigonometric (quantum toroidal)
versions of the quiver BPS algebras, which correspond to three-dimensional
$\mathcal{N}=2$ gauge theories and arrive at similar conclusions. Our findings
demonstrate that there are important subtleties in the Gauge/Bethe
correspondence, often overlooked in the literature.
|
[
{
"created": "Mon, 27 Jun 2022 14:42:27 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Galakhov",
"Dmitry",
""
],
[
"Li",
"Wei",
""
],
[
"Yamazaki",
"Masahito",
""
]
] |
We study the Gauge/Bethe correspondence for two-dimensional $\mathcal{N}=(2,2)$ supersymmetric quiver gauge theories associated with toric Calabi-Yau three-folds, whose BPS algebras have recently been identified as the quiver Yangians. We start with the crystal representations of the quiver Yangian, which are placed at each site of the spin chain. We then construct integrable models by combining the single-site crystals into crystal chains by a coproduct of the algebra, which we determine by a combination of representation-theoretical and gauge-theoretical arguments. For non-chiral quivers, we find that the Bethe ansatz equations for the crystal chain coincide with the vacuum equation of the quiver gauge theory, thus confirming the corresponding Gauge/Bethe correspondence. For more general chiral quivers, however, we find obstructions to the $R$-matrices satisfying the Yang-Baxter equations and the unitarity conditions, and hence to their corresponding Gauge/Bethe correspondence. We also discuss trigonometric (quantum toroidal) versions of the quiver BPS algebras, which correspond to three-dimensional $\mathcal{N}=2$ gauge theories and arrive at similar conclusions. Our findings demonstrate that there are important subtleties in the Gauge/Bethe correspondence, often overlooked in the literature.
|
0911.0019
|
Paul McGuirk
|
Paul McGuirk, Gary Shiu, Yoske Sumitomo
|
Holographic gauge mediation via strongly coupled messengers
|
42 pages, 3 figures, references added, typos and minor errors
correceted
|
Phys.Rev.D81:026005,2010
|
10.1103/PhysRevD.81.026005
|
MAD-TH-09-09
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a relative of semi-direct gauge mediation where the hidden sector
exists at large 't Hooft coupling. Such scenarios can be difficult to describe
using perturbative field theory methods but may fall into the class of
holographic gauge mediation scenarios, meaning that they are amenable to the
techniques of gauge/gravity duality. We use a recently found gravity solution
to examine one such case where the hidden sector is a cascading gauge theory
resulting in a confinement scale not much smaller than the messenger mass. In
the original construction of holographic gauge mediation, as in other examples
of semi-direct gauge mediation at strong coupling, the primary contributions to
visible sector soft terms come from weakly coupled messenger mesons. In
contrast to these examples, we describe the dual of a gauge theory where there
are significant contributions from scales where the strongly coupled messenger
quarks are the effective degrees of freedom. In this regime, the visible sector
gaugino mass can be calculated entirely from holography.
|
[
{
"created": "Mon, 2 Nov 2009 20:34:47 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2009 15:49:02 GMT",
"version": "v2"
},
{
"created": "Wed, 3 Feb 2010 18:25:52 GMT",
"version": "v3"
}
] |
2010-03-11
|
[
[
"McGuirk",
"Paul",
""
],
[
"Shiu",
"Gary",
""
],
[
"Sumitomo",
"Yoske",
""
]
] |
We consider a relative of semi-direct gauge mediation where the hidden sector exists at large 't Hooft coupling. Such scenarios can be difficult to describe using perturbative field theory methods but may fall into the class of holographic gauge mediation scenarios, meaning that they are amenable to the techniques of gauge/gravity duality. We use a recently found gravity solution to examine one such case where the hidden sector is a cascading gauge theory resulting in a confinement scale not much smaller than the messenger mass. In the original construction of holographic gauge mediation, as in other examples of semi-direct gauge mediation at strong coupling, the primary contributions to visible sector soft terms come from weakly coupled messenger mesons. In contrast to these examples, we describe the dual of a gauge theory where there are significant contributions from scales where the strongly coupled messenger quarks are the effective degrees of freedom. In this regime, the visible sector gaugino mass can be calculated entirely from holography.
|
hep-th/9809118
|
Manvelyan Ruben
|
R. Manvelyan, A. Melikyan, R.Mkrtchyan, H.J.W. Mueller--Kirsten
|
Light-Cone Formulation of Super D2-Brane
|
Version accepted for publication in Phys.Lett.B, Latex, 12 pages
|
Phys.Lett. B444 (1998) 86-91
|
10.1016/S0370-2693(98)01350-1
| null |
hep-th
| null |
The light-cone Hamiltonian approach is applied to the super D2-brane, and the
equivalent area--preserving and U(1) gauge-invariant effective Lagrangian,
which is quadratic in the U(1) gauge field, is derived. The latter is
recognised to be that of the three-dimensional U(1) gauge theory, interacting
with matter supermultiplets, in a special external induced supergravity metric
and the gravitino field, depending on matter fields. The duality between this
theory and 11d supermembrane theory is demonstrated in the light-cone gauge.
|
[
{
"created": "Wed, 16 Sep 1998 14:38:47 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Sep 1998 09:50:34 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Oct 1998 18:27:23 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Manvelyan",
"R.",
""
],
[
"Melikyan",
"A.",
""
],
[
"Mkrtchyan",
"R.",
""
],
[
"Mueller--Kirsten",
"H. J. W.",
""
]
] |
The light-cone Hamiltonian approach is applied to the super D2-brane, and the equivalent area--preserving and U(1) gauge-invariant effective Lagrangian, which is quadratic in the U(1) gauge field, is derived. The latter is recognised to be that of the three-dimensional U(1) gauge theory, interacting with matter supermultiplets, in a special external induced supergravity metric and the gravitino field, depending on matter fields. The duality between this theory and 11d supermembrane theory is demonstrated in the light-cone gauge.
|
1009.4074
|
Antonio Padilla
|
Antonio Padilla
|
The good, the bad and the ugly .... of Horava gravity
|
7 pages
|
J.Phys.Conf.Ser.259:012033,2010
|
10.1088/1742-6596/259/1/012033
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I review the good, the bad and the ugly of the non-projectable versions of
Horava gravity. I explain how this non-relativistic theory was constructed and
why it was touted with such excitement as a quantum theory of gravity. I then
review some of the issues facing the theory, explaining how strong coupling
occurs and why this is such a problem for both phenomenology and the question
of renormalisability. Finally I comment on possible violations of Equivalence
Principle, and explain why these could be an issue for Blas et al's "healthy
extension". This paper was presented as a talk at PASCOS 2010 in Valencia.
|
[
{
"created": "Tue, 21 Sep 2010 12:22:39 GMT",
"version": "v1"
}
] |
2011-01-04
|
[
[
"Padilla",
"Antonio",
""
]
] |
I review the good, the bad and the ugly of the non-projectable versions of Horava gravity. I explain how this non-relativistic theory was constructed and why it was touted with such excitement as a quantum theory of gravity. I then review some of the issues facing the theory, explaining how strong coupling occurs and why this is such a problem for both phenomenology and the question of renormalisability. Finally I comment on possible violations of Equivalence Principle, and explain why these could be an issue for Blas et al's "healthy extension". This paper was presented as a talk at PASCOS 2010 in Valencia.
|
hep-th/9607078
|
Toshiya Kawai
|
Toshiya Kawai
|
String Duality and Modular Forms
|
17 pages, LaTeX 2.09
|
Phys.Lett. B397 (1997) 51-62
|
10.1016/S0370-2693(97)00146-9
|
INS-Rep-1150
|
hep-th
| null |
Tests of duality between heterotic strings on $K3\times T^2$ (restricted on
certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau
threefolds are attempted in the weak coupling regime on the heterotic side by
identifying pertinent modular forms related to the computations of string
threshold corrections. Concretely we discuss in parallel the three cases
associated with Calabi-Yau manifolds $(A):X(6,2,2,1,1)_{2}^{-252}$,
$(B):X(12,8,2,1,1)_{3}^{-480}$ and $(C):X(10,3,3,2,2)_{4}^{-132}$ on the type
IIA side.
|
[
{
"created": "Wed, 10 Jul 1996 05:18:08 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Aug 1996 04:17:34 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Feb 1997 11:05:39 GMT",
"version": "v3"
}
] |
2016-09-06
|
[
[
"Kawai",
"Toshiya",
""
]
] |
Tests of duality between heterotic strings on $K3\times T^2$ (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted in the weak coupling regime on the heterotic side by identifying pertinent modular forms related to the computations of string threshold corrections. Concretely we discuss in parallel the three cases associated with Calabi-Yau manifolds $(A):X(6,2,2,1,1)_{2}^{-252}$, $(B):X(12,8,2,1,1)_{3}^{-480}$ and $(C):X(10,3,3,2,2)_{4}^{-132}$ on the type IIA side.
|
1109.2585
|
Hai Lin
|
Yusuke Kimura, Hai Lin
|
Young diagrams, Brauer algebras, and bubbling geometries
|
40 pages, 2 figures; journal version
|
JHEP 1201:121,2012
|
10.1007/JHEP01(2012)121
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the 1/4 BPS geometries corresponding to the 1/4 BPS operators of the
dual gauge theory side, in ${\cal N}=4$ SYM. By analyzing asymptotic structure
and flux integration of the geometries, we present a mapping between droplet
configurations arising from the geometries and Young diagrams of the Brauer
algebra. In particular, the integer $k$ classifying the operators in the Brauer
basis is mapped to the mixing between the two angular directions.
|
[
{
"created": "Mon, 12 Sep 2011 19:55:54 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Dec 2011 20:48:01 GMT",
"version": "v2"
}
] |
2024-02-29
|
[
[
"Kimura",
"Yusuke",
""
],
[
"Lin",
"Hai",
""
]
] |
We study the 1/4 BPS geometries corresponding to the 1/4 BPS operators of the dual gauge theory side, in ${\cal N}=4$ SYM. By analyzing asymptotic structure and flux integration of the geometries, we present a mapping between droplet configurations arising from the geometries and Young diagrams of the Brauer algebra. In particular, the integer $k$ classifying the operators in the Brauer basis is mapped to the mixing between the two angular directions.
|
hep-th/0212181
|
Alberto Zaffaroni
|
L. Girardello, M. Porrati and A. Zaffaroni
|
3-D Interacting CFTs and Generalized Higgs Phenomenon in Higher Spin
Theories on AdS
|
8 pages, latex; v2 references added
|
Phys.Lett. B561 (2003) 289-293
|
10.1016/S0370-2693(03)00492-1
| null |
hep-th
| null |
We study a duality, recently conjectured by Klebanov and Polyakov, between
higher-spin theories on AdS_4 and O(N) vector models in 3-d. These theories are
free in the UV and interacting in the IR. At the UV fixed point, the O(N) model
has an infinite number of higher-spin conserved currents. In the IR, these
currents are no longer conserved for spin s>2. In this paper, we show that the
dual interpretation of this fact is that all fields of spin s>2 in AdS_4 become
massive by a Higgs mechanism, that leaves the spin-2 field massless. We
identify the Higgs field and show how it relates to the RG flow connecting the
two CFTs, which is induced by a double trace deformation.
|
[
{
"created": "Mon, 16 Dec 2002 16:51:17 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Feb 2003 11:47:12 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Girardello",
"L.",
""
],
[
"Porrati",
"M.",
""
],
[
"Zaffaroni",
"A.",
""
]
] |
We study a duality, recently conjectured by Klebanov and Polyakov, between higher-spin theories on AdS_4 and O(N) vector models in 3-d. These theories are free in the UV and interacting in the IR. At the UV fixed point, the O(N) model has an infinite number of higher-spin conserved currents. In the IR, these currents are no longer conserved for spin s>2. In this paper, we show that the dual interpretation of this fact is that all fields of spin s>2 in AdS_4 become massive by a Higgs mechanism, that leaves the spin-2 field massless. We identify the Higgs field and show how it relates to the RG flow connecting the two CFTs, which is induced by a double trace deformation.
|
hep-th/9407181
|
Coussaert Olivier
|
O. Coussaert and M. Henneaux
|
Self-dual solutions of 2+1 Einstein gravity with a negative cosmological
constant
|
15 pages in LaTeX, ULB-TH14/94
| null | null | null |
hep-th
| null |
All the causally regular geometries obtained from (2+1)-anti-de Sitter space
by identifications by isometries of the form $P \rightarrow (\exp \pi\xi) P$,
where $\xi$ is a self-dual Killing vector of $so(2,2)$, are explicitely
constructed. Their remarkable properties (Killing vectors, Killing spinors) are
listed. These solutions of Einstein gravity with negative cosmological constant
are also invariant under the string duality transformation applied to the
angular translational symmetry $\phi \rightarrow \phi+a$ The analysis is made
particularly convenient through the construction of {\em global} coordinates
adapted to the identifications.}
|
[
{
"created": "Wed, 27 Jul 1994 11:40:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Coussaert",
"O.",
""
],
[
"Henneaux",
"M.",
""
]
] |
All the causally regular geometries obtained from (2+1)-anti-de Sitter space by identifications by isometries of the form $P \rightarrow (\exp \pi\xi) P$, where $\xi$ is a self-dual Killing vector of $so(2,2)$, are explicitely constructed. Their remarkable properties (Killing vectors, Killing spinors) are listed. These solutions of Einstein gravity with negative cosmological constant are also invariant under the string duality transformation applied to the angular translational symmetry $\phi \rightarrow \phi+a$ The analysis is made particularly convenient through the construction of {\em global} coordinates adapted to the identifications.}
|
hep-th/9506182
|
Dan Kabat
|
D. Kabat, S. H. Shenker, and M. J. Strassler
|
Black Hole Entropy in the O(N) Model
|
21 pages, uses harvmac and epsf. one additional reference
|
Phys.Rev.D52:7027-7036,1995
|
10.1103/PhysRevD.52.7027
|
RU-95-34
|
hep-th gr-qc
| null |
We consider corrections to the entropy of a black hole from an $O(N)$
invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of
the partition function on a cone. The entropy arises from diagrams which are
analogous to those introduced by Susskind and Uglum to explain black hole
entropy in string theory. The interpretation of the \sm entropy depends on
scale. At short distances, it has a state counting interpretation, as the
entropy of entanglement of the $N$ fields $\pa$. In the infrared, the effective
theory has a single composite field $\s \sim \pa \pa$, and the state counting
interpretation of the entropy is lost.
|
[
{
"created": "Tue, 27 Jun 1995 23:21:38 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 1995 18:39:38 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Kabat",
"D.",
""
],
[
"Shenker",
"S. H.",
""
],
[
"Strassler",
"M. J.",
""
]
] |
We consider corrections to the entropy of a black hole from an $O(N)$ invariant linear $\s$-model. We obtain the entropy from a $1/N$ expansion of the partition function on a cone. The entropy arises from diagrams which are analogous to those introduced by Susskind and Uglum to explain black hole entropy in string theory. The interpretation of the \sm entropy depends on scale. At short distances, it has a state counting interpretation, as the entropy of entanglement of the $N$ fields $\pa$. In the infrared, the effective theory has a single composite field $\s \sim \pa \pa$, and the state counting interpretation of the entropy is lost.
|
hep-th/9209068
| null |
Supriya Kar, Alok Kumar and Gautam Sengupta
|
Hidden Isometry in a Chiral Gauged WZW Model
|
11 pages, IP/BBSR/92-67, IISC/CTS/92-8
| null | null | null |
hep-th
| null |
It is shown that the asymmetric chiral gauging of the WZW models give rise to
consistent string backgrounds. The target space structure of the ${[{SL(2,\Re)/
{SO(1,1)}}]}_L \bigotimes {[{SL(2,\Re)/U(1)}]}_R$ model is analyzed and the
presence of a hidden isometry in this background is demonstrated. A nonlinear
coordinate transformation is obtained which transforms the asymmetric model to
the symmetric one, analyzed recently by two of the present authors.
|
[
{
"created": "Fri, 18 Sep 1992 15:14:24 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kar",
"Supriya",
""
],
[
"Kumar",
"Alok",
""
],
[
"Sengupta",
"Gautam",
""
]
] |
It is shown that the asymmetric chiral gauging of the WZW models give rise to consistent string backgrounds. The target space structure of the ${[{SL(2,\Re)/ {SO(1,1)}}]}_L \bigotimes {[{SL(2,\Re)/U(1)}]}_R$ model is analyzed and the presence of a hidden isometry in this background is demonstrated. A nonlinear coordinate transformation is obtained which transforms the asymmetric model to the symmetric one, analyzed recently by two of the present authors.
|
1808.01295
|
Arun Madhav Thalapillil
|
Mrunal Korwar and Arun M. Thalapillil
|
Finite temperature Schwinger pair production in coexistent electric and
magnetic fields
|
12 pages, 2 figures. Matches published version
|
Phys. Rev. D 98, 076016 (2018)
|
10.1103/PhysRevD.98.076016
| null |
hep-th astro-ph.HE hep-ex hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute Schwinger pair production rates at finite temperature, in the
presence of homogeneous, concurrent electric and magnetic fields. Expressions
are obtained using the semiclassical worldline instanton formalism, to leading
order, for spin-$0$ and spin-$\frac{1}{2}$ particles. The derived results are
valid for weak coupling and fields. We thereby extend previous seminal results
in the literature, to coexistent electric and magnetic fields, and fermions.
|
[
{
"created": "Fri, 3 Aug 2018 18:11:50 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Aug 2018 13:22:34 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Mar 2019 06:33:01 GMT",
"version": "v3"
}
] |
2019-04-01
|
[
[
"Korwar",
"Mrunal",
""
],
[
"Thalapillil",
"Arun M.",
""
]
] |
We compute Schwinger pair production rates at finite temperature, in the presence of homogeneous, concurrent electric and magnetic fields. Expressions are obtained using the semiclassical worldline instanton formalism, to leading order, for spin-$0$ and spin-$\frac{1}{2}$ particles. The derived results are valid for weak coupling and fields. We thereby extend previous seminal results in the literature, to coexistent electric and magnetic fields, and fermions.
|
hep-th/0006034
|
Kilian Koepsell
|
K. Koepsell, H. Nicolai, H. Samtleben
|
An exceptional geometry for d=11 supergravity?
|
16 pages, LaTeX2e
|
Class.Quant.Grav.17:3689-3702,2000
|
10.1088/0264-9381/17/18/308
|
AEI-2000-009
|
hep-th
| null |
We analyze the algebraic constraints of the generalized vielbein in SO(1,2) x
SO(16) invariant d=11 supergravity, and show that the bosonic degrees of
freedom of d=11 supergravity, which become the physical ones upon reduction to
d=3, can be assembled into an E_8-valued vielbein already in eleven dimensions.
A crucial role in the construction is played by the maximal nilpotent commuting
subalgebra of E_8, of dimension 36, suggesting a partial unification of general
coordinate and tensor gauge transformations.
|
[
{
"created": "Mon, 5 Jun 2000 15:55:48 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Koepsell",
"K.",
""
],
[
"Nicolai",
"H.",
""
],
[
"Samtleben",
"H.",
""
]
] |
We analyze the algebraic constraints of the generalized vielbein in SO(1,2) x SO(16) invariant d=11 supergravity, and show that the bosonic degrees of freedom of d=11 supergravity, which become the physical ones upon reduction to d=3, can be assembled into an E_8-valued vielbein already in eleven dimensions. A crucial role in the construction is played by the maximal nilpotent commuting subalgebra of E_8, of dimension 36, suggesting a partial unification of general coordinate and tensor gauge transformations.
|
0807.0368
|
Seiji Terashima
|
Seiji Terashima and Futoshi Yagi
|
Orbifolding the Membrane Action
|
32 pages, 3 figures; v2: major corrections on the analyses of the
moduli spaces; v3: explanations added, references added, minor corrections
|
JHEP 0812:041,2008
|
10.1088/1126-6708/2008/12/041
|
YITP-08-55
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a simple class of orbifolds of the N=6 Chern-Simons Matter theory
proposed by Aharony, Bergman, Jafferis and Maldacena. They are considered as a
world volume theory of membranes probing C^4/ (Z_k x Z_n) and include a new
membrane theory with N=4 supersymmetries. We find that the moduli spaces of
them are consistent with the fact that they probe C^4/ (Z_k x Z_n).
|
[
{
"created": "Wed, 2 Jul 2008 16:42:31 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2008 14:04:55 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Dec 2008 15:57:58 GMT",
"version": "v3"
}
] |
2011-03-02
|
[
[
"Terashima",
"Seiji",
""
],
[
"Yagi",
"Futoshi",
""
]
] |
We study a simple class of orbifolds of the N=6 Chern-Simons Matter theory proposed by Aharony, Bergman, Jafferis and Maldacena. They are considered as a world volume theory of membranes probing C^4/ (Z_k x Z_n) and include a new membrane theory with N=4 supersymmetries. We find that the moduli spaces of them are consistent with the fact that they probe C^4/ (Z_k x Z_n).
|
2011.08693
|
Liam McAllister
|
Viraf M. Mehta, Mehmet Demirtas, Cody Long, David J. E. Marsh, Liam
McAllister, Matthew J. Stott
|
Superradiance Exclusions in the Landscape of Type IIB String Theory
|
6 pages, 3 figures. v2: expanded dataset; minor corrections and
clarifications
| null | null |
KCL-PH-TH/2020-77
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We obtain constraints from black hole superradiance in an ensemble of
compactifications of type IIB string theory. The constraints require knowing
only the axion masses and self-interactions, and are insensitive to the
cosmological model. We study more than $2 \cdot 10^5$ Calabi-Yau manifolds with
Hodge numbers $1\leq h^{1,1}\leq 491$ and compute the axion spectrum at two
reference points in moduli space for each geometry. Our computation of the
classical theory is explicit, while for the instanton-generated axion potential
we use a conservative model. The measured properties of astrophysical black
holes exclude parts of our dataset. At the point in moduli space corresponding
to the tip of the stretched K\"{a}hler cone, we exclude $\approx 50\%$ of
manifolds in our sample at 95% C.L., while further inside the K\"{a}hler cone,
at an extremal point for realising the Standard Model, we exclude a maximum of
$\approx 7\%$ of manifolds at $h^{1,1}=11$, falling to nearly zero by
$h^{1,1}=100$.
|
[
{
"created": "Tue, 17 Nov 2020 15:23:54 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Apr 2021 21:32:14 GMT",
"version": "v2"
}
] |
2021-04-27
|
[
[
"Mehta",
"Viraf M.",
""
],
[
"Demirtas",
"Mehmet",
""
],
[
"Long",
"Cody",
""
],
[
"Marsh",
"David J. E.",
""
],
[
"McAllister",
"Liam",
""
],
[
"Stott",
"Matthew J.",
""
]
] |
We obtain constraints from black hole superradiance in an ensemble of compactifications of type IIB string theory. The constraints require knowing only the axion masses and self-interactions, and are insensitive to the cosmological model. We study more than $2 \cdot 10^5$ Calabi-Yau manifolds with Hodge numbers $1\leq h^{1,1}\leq 491$ and compute the axion spectrum at two reference points in moduli space for each geometry. Our computation of the classical theory is explicit, while for the instanton-generated axion potential we use a conservative model. The measured properties of astrophysical black holes exclude parts of our dataset. At the point in moduli space corresponding to the tip of the stretched K\"{a}hler cone, we exclude $\approx 50\%$ of manifolds in our sample at 95% C.L., while further inside the K\"{a}hler cone, at an extremal point for realising the Standard Model, we exclude a maximum of $\approx 7\%$ of manifolds at $h^{1,1}=11$, falling to nearly zero by $h^{1,1}=100$.
|
hep-th/9609154
|
Adam
|
C. Adam
|
Decay widths in the massive Schwinger model
|
8 pages, Latex file, no figures
|
Phys.Lett. B391 (1997) 395-401
|
10.1016/S0370-2693(96)01496-7
|
FSUJ TPI 12/96
|
hep-th
| null |
By a closer inspection of the massive Schwinger model within mass
perturbation theory we find that, in addition to the $n$-boson bound states, a
further type of hybrid bound states has to be included into the model. Further
we explicitly compute the decay widths of the three-boson bound state and of
the lightest hybrid bound state.
|
[
{
"created": "Wed, 18 Sep 1996 08:19:18 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Adam",
"C.",
""
]
] |
By a closer inspection of the massive Schwinger model within mass perturbation theory we find that, in addition to the $n$-boson bound states, a further type of hybrid bound states has to be included into the model. Further we explicitly compute the decay widths of the three-boson bound state and of the lightest hybrid bound state.
|
1805.04413
|
Konstantinos Koutrolikos
|
I. L. Buchbinder, S. James Gates Jr., Konstantinos Koutrolikos
|
Conserved higher spin supercurrents for arbitrary spin massless
supermultiplets and higher spin superfield cubic interactions
| null | null |
10.1007/JHEP08(2018)055
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an explicit superspace construction of higher spin conserved
supercurrents built out of $4D,\mathcal{N}=1$ massless supermultiplets of
arbitrary spin. These supercurrents are gauge invariant and generate a large
class of cubic interactions between a massless supermultiplet with superspin
$Y_1=s_1+1/2$ and two massless supermultiplets of arbitrary superspin $Y_2$.
These interactions are possible only for $s_1\geq 2Y_2$. At the equality, the
supercurrent acquires its simplest form and defines the supersymmetric, higher
spin extension of the linearized Bel-Robinson tensor.
|
[
{
"created": "Fri, 11 May 2018 14:15:21 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Aug 2018 16:15:44 GMT",
"version": "v2"
}
] |
2018-08-29
|
[
[
"Buchbinder",
"I. L.",
""
],
[
"Gates",
"S. James",
"Jr."
],
[
"Koutrolikos",
"Konstantinos",
""
]
] |
We give an explicit superspace construction of higher spin conserved supercurrents built out of $4D,\mathcal{N}=1$ massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic interactions between a massless supermultiplet with superspin $Y_1=s_1+1/2$ and two massless supermultiplets of arbitrary superspin $Y_2$. These interactions are possible only for $s_1\geq 2Y_2$. At the equality, the supercurrent acquires its simplest form and defines the supersymmetric, higher spin extension of the linearized Bel-Robinson tensor.
|
hep-th/9606022
|
I. A. Strachan
|
D.B. Fairlie (Durham University) and I.A.B. Strachan (Hull University)
|
The algebraic and Hamiltonian structure of the dispersionless Benney and
Toda hierarchies
|
29 pages, LaTeX
|
Inverse Problems 12 (1996) 885
|
10.1088/0266-5611/12/6/006
|
DTP 96/13
|
hep-th nlin.SI solv-int
| null |
The algebraic and Hamiltonian structures of the multicomponent dispersionless
Benney and Toda hierarchies are studied. This is achieved by using a modified
set of variables for which there is a symmetry between the basic fields. This
symmetry enables formulae normally given implicitly in terms of residues, such
as conserved charges and fluxes, to be calculated explicitly. As a corollary of
these results the equivalence of the Benney and Toda hierarchies is
established. It is further shown that such quantities may be expressed in terms
of generalized hypergeometric functions, the simplest example involving
Legendre polynomials. These results are then extended to systems derived from a
rational Lax function and a logarithmic function. Various reductions are also
studied.
|
[
{
"created": "Wed, 5 Jun 1996 12:28:52 GMT",
"version": "v1"
}
] |
2020-12-16
|
[
[
"Fairlie",
"D. B.",
"",
"Durham University"
],
[
"Strachan",
"I. A. B.",
"",
"Hull University"
]
] |
The algebraic and Hamiltonian structures of the multicomponent dispersionless Benney and Toda hierarchies are studied. This is achieved by using a modified set of variables for which there is a symmetry between the basic fields. This symmetry enables formulae normally given implicitly in terms of residues, such as conserved charges and fluxes, to be calculated explicitly. As a corollary of these results the equivalence of the Benney and Toda hierarchies is established. It is further shown that such quantities may be expressed in terms of generalized hypergeometric functions, the simplest example involving Legendre polynomials. These results are then extended to systems derived from a rational Lax function and a logarithmic function. Various reductions are also studied.
|
hep-th/0312289
|
Gregory Gabadadze
|
G.Gabadadze and M. Shifman
|
Softly Massive Gravity
|
33 LaTex pages
|
Phys.Rev. D69 (2004) 124032
|
10.1103/PhysRevD.69.124032
|
NYU-TH-03/12/23; CERN-TH/2003-158; FTPI-MINN-03/19; UMN-TH-2208/03
|
hep-th
| null |
Large-distance modification of gravity may be the mechanism for solving the
cosmological constant problem. A simple model of the large-distance
modification -- four-dimensional (4D) gravity with the hard mass term-- is
problematic from the theoretical standpoint. Here we discuss a different model,
the brane-induced gravity, that effectively introduces a soft graviton mass. We
study the issues of unitarity, analyticity and causality in this model in more
than five dimensions. We show that a consistent prescription for the poles of
the Green's function can be specified so that 4D unitarity is preserved.
However, in certain instances 4D analyticity cannot be maintained when theory
becomes higher dimensional. As a result, one has to sacrifice 4D causality at
distances of the order of the present-day Hubble scale. This is a welcome
feature for solving the cosmological constant problem, as was recently argued
in the literature. We also show that, unlike the 4D massive gravity, the model
has no strong-coupling problem at intermediate scales.
|
[
{
"created": "Wed, 24 Dec 2003 23:36:22 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Gabadadze",
"G.",
""
],
[
"Shifman",
"M.",
""
]
] |
Large-distance modification of gravity may be the mechanism for solving the cosmological constant problem. A simple model of the large-distance modification -- four-dimensional (4D) gravity with the hard mass term-- is problematic from the theoretical standpoint. Here we discuss a different model, the brane-induced gravity, that effectively introduces a soft graviton mass. We study the issues of unitarity, analyticity and causality in this model in more than five dimensions. We show that a consistent prescription for the poles of the Green's function can be specified so that 4D unitarity is preserved. However, in certain instances 4D analyticity cannot be maintained when theory becomes higher dimensional. As a result, one has to sacrifice 4D causality at distances of the order of the present-day Hubble scale. This is a welcome feature for solving the cosmological constant problem, as was recently argued in the literature. We also show that, unlike the 4D massive gravity, the model has no strong-coupling problem at intermediate scales.
|
hep-th/0701143
|
Saharian
|
E. R. Bezerra de Mello, A. A. Saharian
|
Polarization of the fermionic vacuum by a global monopole with finite
core
|
22 pages, 4 figures
|
Phys.Rev.D75:065019,2007
|
10.1103/PhysRevD.75.065019
| null |
hep-th
| null |
We study the vacuum polarization effects associated with a massive fermionic
field in a spacetime produced by a global monopole considering a nontrivial
inner structure for it. In the general case of the spherically symmetric static
core with finite support we evaluate the vacuum expectation values of the
energy-momentum tensor and the fermionic condensate in the region outside the
core. These quantities are presented as the sum of point-like global monopole
and core-induced contributions. The asymptotic behavior of the core-induced
vacuum densities are investigated at large distances from the core, near the
core and for small values of the solid angle corresponding to strong
gravitational fields. As an application of general results the flower-pot model
for the monopole's core is considered and the expectation values inside the
core are evaluated.
|
[
{
"created": "Mon, 15 Jan 2007 17:41:57 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
]
] |
We study the vacuum polarization effects associated with a massive fermionic field in a spacetime produced by a global monopole considering a nontrivial inner structure for it. In the general case of the spherically symmetric static core with finite support we evaluate the vacuum expectation values of the energy-momentum tensor and the fermionic condensate in the region outside the core. These quantities are presented as the sum of point-like global monopole and core-induced contributions. The asymptotic behavior of the core-induced vacuum densities are investigated at large distances from the core, near the core and for small values of the solid angle corresponding to strong gravitational fields. As an application of general results the flower-pot model for the monopole's core is considered and the expectation values inside the core are evaluated.
|
2307.08601
|
Theodoros Papanikolaou
|
Spyros Basilakos, Dimitri V. Nanopoulos, Theodoros Papanikolaou,
Emmanuel N. Saridakis, Charalampos Tzerefos
|
Gravitational wave signatures of no-scale Supergravity in NANOGrav and
beyond
|
Accepted in Physics Letters B
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this Letter, we derive for the first time a characteristic three-peaked GW
signal within the framework of no-scale Supergravity, being the low-energy
limit of Superstring theory. We concentrate on the primordial gravitational
wave (GW) spectrum induced due to second-order gravitational interactions by
inflationary curvature perturbations as well as by isocurvature energy density
perturbations of primordial black holes (PBHs) both amplified due to the
presence of an early matter-dominated era (eMD) era before Big Bang
Nucleosythesis (BBN). In particular, we work with inflection-point inflationary
potentials naturally-realised within Wess-Zumino type no-scale Supergravity and
giving rise to the formation of microscopic PBHs triggering an eMD era and
evaporating before BBN. Remarkably, we obtain an abundant production of
gravitational waves at the frequency ranges of $\mathrm{nHz}$, $\mathrm{Hz}$
and $\mathrm{kHz}$ and in strong agreement with Pulsar Time Array (PTA) GW
data. Interestingly enough, a simultaneous detection of all three
$\mathrm{nHz}$, $\mathrm{Hz}$ and $\mathrm{kHz}$ GW peaks can constitute a
potential observational signature for no-scale Supergravity.
|
[
{
"created": "Mon, 17 Jul 2023 16:10:43 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Aug 2023 21:12:57 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Sep 2023 10:02:59 GMT",
"version": "v3"
},
{
"created": "Mon, 2 Oct 2023 12:49:18 GMT",
"version": "v4"
},
{
"created": "Tue, 6 Feb 2024 20:09:15 GMT",
"version": "v5"
}
] |
2024-02-08
|
[
[
"Basilakos",
"Spyros",
""
],
[
"Nanopoulos",
"Dimitri V.",
""
],
[
"Papanikolaou",
"Theodoros",
""
],
[
"Saridakis",
"Emmanuel N.",
""
],
[
"Tzerefos",
"Charalampos",
""
]
] |
In this Letter, we derive for the first time a characteristic three-peaked GW signal within the framework of no-scale Supergravity, being the low-energy limit of Superstring theory. We concentrate on the primordial gravitational wave (GW) spectrum induced due to second-order gravitational interactions by inflationary curvature perturbations as well as by isocurvature energy density perturbations of primordial black holes (PBHs) both amplified due to the presence of an early matter-dominated era (eMD) era before Big Bang Nucleosythesis (BBN). In particular, we work with inflection-point inflationary potentials naturally-realised within Wess-Zumino type no-scale Supergravity and giving rise to the formation of microscopic PBHs triggering an eMD era and evaporating before BBN. Remarkably, we obtain an abundant production of gravitational waves at the frequency ranges of $\mathrm{nHz}$, $\mathrm{Hz}$ and $\mathrm{kHz}$ and in strong agreement with Pulsar Time Array (PTA) GW data. Interestingly enough, a simultaneous detection of all three $\mathrm{nHz}$, $\mathrm{Hz}$ and $\mathrm{kHz}$ GW peaks can constitute a potential observational signature for no-scale Supergravity.
|
1101.4202
|
Jerzy Lukierski
|
Jerzy Lukierski (Inst. for Theor. Phys., Wroclaw University)
|
Galilean Conformal and Superconformal Symmetries
|
16 pages, LateX; talk presented at XIV International Conference
"Symmetry Methods in Physics", Tsakhkadzor, Armenia, August 16-22, 2010
|
Physics of Atomic Nuclei 75, p.1256-1263 (2012)
|
10.1134/S1063778812100134
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Firstly we discuss briefly three different algebras named as nonrelativistic
(NR) conformal: Schroedinger, Galilean conformal and infinite algebra of local
NR conformal isometries. Further we shall consider in some detail Galilean
conformal algebra (GCA) obtained in the limit c equal to infinity from
relativistic conformal algebra O(d+1,2) (d - number of space dimensions). Two
different contraction limits providing GCA and some recently considered
realizations will be briefly discussed. Finally by considering NR contraction
of D=4 superconformal algebra the Galilei conformal superalgebra (GCSA) is
obtained, in the formulation using complex Weyl supercharges.
|
[
{
"created": "Fri, 21 Jan 2011 18:40:29 GMT",
"version": "v1"
}
] |
2015-05-27
|
[
[
"Lukierski",
"Jerzy",
"",
"Inst. for Theor. Phys., Wroclaw University"
]
] |
Firstly we discuss briefly three different algebras named as nonrelativistic (NR) conformal: Schroedinger, Galilean conformal and infinite algebra of local NR conformal isometries. Further we shall consider in some detail Galilean conformal algebra (GCA) obtained in the limit c equal to infinity from relativistic conformal algebra O(d+1,2) (d - number of space dimensions). Two different contraction limits providing GCA and some recently considered realizations will be briefly discussed. Finally by considering NR contraction of D=4 superconformal algebra the Galilei conformal superalgebra (GCSA) is obtained, in the formulation using complex Weyl supercharges.
|
hep-th/9809190
|
E. Ivanov
|
S. Bellucci, E. Ivanov, S. Krivonos
|
Partial breaking N=4 to N=2: hypermultiplet as a Goldstone superfield
|
17 pages, LaTeX, Talk given by E. Ivanov at the XI Int. Conference
"Problems of Quantum Field Theory" (July 13-17, Dubna, Russia) and 32nd Int.
Symposium Ahrenshoop on the Theory of Elementary Particles (September 1-5,
Buckow, Germany), some misprints removed, a reference added, ref. [25]
corrected
|
Fortsch.Phys.48:19-24,2000
|
10.1002/(SICI)1521-3978(20001)48:1/3<19::AID-PROP19>3.0.CO;2-U
| null |
hep-th
| null |
We describe the partial breaking of $N=1 D=10$ supersymmetry down to $(1,0)
d=6$ supersymmetry within the non-linear realization approach. The basic
Goldstone superfield associated with this breaking is shown to be the $(1,0)
d=6$ hypermultiplet superfield $q^{ia}$ subjected to a non-linear
generalization of the standard hypermultiplet superfield constraint. The
dynamical equations implied by this constraint are identified as the manifestly
worldvolume supersymmetric equations of the Type I super 5-brane in D=10. We
give arguments in favour of existence of an appropriate brane extension of
off-shell hypermultiplet actions in harmonic superspace. Some related problems,
in particular, the issue of utilizing other $(1,0) d=6$ supermultiplets as
Goldstone ones, are shortly discussed.
|
[
{
"created": "Sun, 27 Sep 1998 11:14:33 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 1998 11:20:17 GMT",
"version": "v2"
}
] |
2017-04-26
|
[
[
"Bellucci",
"S.",
""
],
[
"Ivanov",
"E.",
""
],
[
"Krivonos",
"S.",
""
]
] |
We describe the partial breaking of $N=1 D=10$ supersymmetry down to $(1,0) d=6$ supersymmetry within the non-linear realization approach. The basic Goldstone superfield associated with this breaking is shown to be the $(1,0) d=6$ hypermultiplet superfield $q^{ia}$ subjected to a non-linear generalization of the standard hypermultiplet superfield constraint. The dynamical equations implied by this constraint are identified as the manifestly worldvolume supersymmetric equations of the Type I super 5-brane in D=10. We give arguments in favour of existence of an appropriate brane extension of off-shell hypermultiplet actions in harmonic superspace. Some related problems, in particular, the issue of utilizing other $(1,0) d=6$ supermultiplets as Goldstone ones, are shortly discussed.
|
hep-th/0111153
|
Barton Zwiebach
|
Leonardo Rastelli, Ashoke Sen and Barton Zwiebach
|
A Note on a Proposal for the Tachyon State in Vacuum String Field Theory
|
16 pages, LaTeX
|
JHEP 0202:034,2002
|
10.1088/1126-6708/2002/02/034
|
CTP-MIT-3210, CGPG-01/11-2,PUPT-2012
|
hep-th
| null |
We discuss the proposal of Hata and Kawano for the tachyon fluctuation around
a solution of vacuum string field theory representing a D25 brane. We give a
conformal field theory construction of their state -- a local insertion of a
tachyon vertex operator on the sliver surface state, and explain why the
on-shell momentum condition emerges correctly. We also show that a naive
computation of the D25-brane tension using data for the three point coupling of
this state gives an answer that is $(\pi^2/3)(16/27\ln 2)^3 \simeq 2.0558$
times the expected answer. We demonstrate that this problem arises because the
HK state does not satisfy the equations of motion in a strong sense required
for the computation of D-brane tension from the on-shell 3-tachyon coupling.
|
[
{
"created": "Fri, 16 Nov 2001 18:05:30 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Rastelli",
"Leonardo",
""
],
[
"Sen",
"Ashoke",
""
],
[
"Zwiebach",
"Barton",
""
]
] |
We discuss the proposal of Hata and Kawano for the tachyon fluctuation around a solution of vacuum string field theory representing a D25 brane. We give a conformal field theory construction of their state -- a local insertion of a tachyon vertex operator on the sliver surface state, and explain why the on-shell momentum condition emerges correctly. We also show that a naive computation of the D25-brane tension using data for the three point coupling of this state gives an answer that is $(\pi^2/3)(16/27\ln 2)^3 \simeq 2.0558$ times the expected answer. We demonstrate that this problem arises because the HK state does not satisfy the equations of motion in a strong sense required for the computation of D-brane tension from the on-shell 3-tachyon coupling.
|
0704.2389
|
Georgios Papathanasiou
|
Georgios Papathanasiou and Marcus Spradlin
|
Semiclassical Quantization of the Giant Magnon
|
20 pages, JHEP3 style; v2: minor typos fixed and references added
|
JHEP 0706:032,2007
|
10.1088/1126-6708/2007/06/032
|
BROWN-HET-1479
|
hep-th
| null |
Solitons in field theory provide a window into regimes not directly
accessible by the fundamental perturbative degrees of freedom. Motivated by
interest in the worldsheet S-matrix of string theory in AdS_5 x S^5 in the
limit of infinite worldsheet volume we consider the semiclassical quantization
of a particular soliton of this theory: the Hofman-Maldacena `giant magnon'
spinning string. We obtain explicit formulas for the complete spectrum of
bosonic and fermionic fluctuations around the giant magnon. As an application
of these results we confirm that the one-loop correction to the classical
energy vanishes as expected.
|
[
{
"created": "Wed, 18 Apr 2007 18:35:23 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Jun 2007 23:40:15 GMT",
"version": "v2"
}
] |
2009-11-13
|
[
[
"Papathanasiou",
"Georgios",
""
],
[
"Spradlin",
"Marcus",
""
]
] |
Solitons in field theory provide a window into regimes not directly accessible by the fundamental perturbative degrees of freedom. Motivated by interest in the worldsheet S-matrix of string theory in AdS_5 x S^5 in the limit of infinite worldsheet volume we consider the semiclassical quantization of a particular soliton of this theory: the Hofman-Maldacena `giant magnon' spinning string. We obtain explicit formulas for the complete spectrum of bosonic and fermionic fluctuations around the giant magnon. As an application of these results we confirm that the one-loop correction to the classical energy vanishes as expected.
|
0811.0150
|
Kazuharu Bamba
|
Kazuharu Bamba and Shin'ichi Nojiri
|
Cosmology in non-minimal Yang-Mills/Maxwell theory
|
10 pages, no figure, Contribution to the anniversary volume "The
Problems of Modern Cosmology" on the occasion of the 50th birthday of Prof.
S. D. Odintsov, published by Tomsk State Pedagogical University, Tomsk,
references added
| null | null | null |
hep-th astro-ph gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review cosmology in non-minimal Yang-Mills/Maxwell theory, in which the
Yang-Mills/electromagnetic field couples to a function of the scalar curvature.
We show that power-law inflation can be realized due to the non-minimal
gravitational coupling of the Yang-Mills field which may be caused by quantum
corrections. Moreover, we study non-minimal vector model in the framework of
modified gravity and demonstrate that both inflation and the late-time
accelerated expansion of the universe can be realized. We also discuss the
cosmological reconstruction of the Yang-Mills theory. Furthermore, we
investigate late-time cosmology in non-minimal Maxwell-Einstein theory. We
explore the forms of the non-minimal gravitational coupling which generate the
finite-time future singularities and the general conditions for this coupling
in order that the finite-time future singularities cannot appear.
|
[
{
"created": "Sun, 2 Nov 2008 10:12:09 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Nov 2008 03:39:01 GMT",
"version": "v2"
}
] |
2008-11-09
|
[
[
"Bamba",
"Kazuharu",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] |
We review cosmology in non-minimal Yang-Mills/Maxwell theory, in which the Yang-Mills/electromagnetic field couples to a function of the scalar curvature. We show that power-law inflation can be realized due to the non-minimal gravitational coupling of the Yang-Mills field which may be caused by quantum corrections. Moreover, we study non-minimal vector model in the framework of modified gravity and demonstrate that both inflation and the late-time accelerated expansion of the universe can be realized. We also discuss the cosmological reconstruction of the Yang-Mills theory. Furthermore, we investigate late-time cosmology in non-minimal Maxwell-Einstein theory. We explore the forms of the non-minimal gravitational coupling which generate the finite-time future singularities and the general conditions for this coupling in order that the finite-time future singularities cannot appear.
|
2207.06749
|
Cristobal Laporte
|
Cristobal Laporte, Nora Locht, Antonio D. Pereira and Frank Saueressig
|
Evidence for a novel shift-symmetric universality class from the
functional renormalization group
|
10 pages, 3 figures
| null |
10.1016/j.physletb.2022.137666
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Wetterich's equation provides a powerful tool for investigating the existence
and universal properties of renormalization group fixed points exhibiting
quantum scale invariance. Motivated by recent works on asymptotically safe
scalar-tensor theories, we develop a novel approximation scheme which projects
the functional renormalization group equation onto functions of the kinetic
term. Applying this projection to scalars and gauge fields, our analysis
identifies a new universality class with a very special spectrum of stability
coefficients. The implications of our findings in the context of asymptotically
safe gravity-matter systems are discussed.
|
[
{
"created": "Thu, 14 Jul 2022 09:00:27 GMT",
"version": "v1"
}
] |
2023-01-11
|
[
[
"Laporte",
"Cristobal",
""
],
[
"Locht",
"Nora",
""
],
[
"Pereira",
"Antonio D.",
""
],
[
"Saueressig",
"Frank",
""
]
] |
Wetterich's equation provides a powerful tool for investigating the existence and universal properties of renormalization group fixed points exhibiting quantum scale invariance. Motivated by recent works on asymptotically safe scalar-tensor theories, we develop a novel approximation scheme which projects the functional renormalization group equation onto functions of the kinetic term. Applying this projection to scalars and gauge fields, our analysis identifies a new universality class with a very special spectrum of stability coefficients. The implications of our findings in the context of asymptotically safe gravity-matter systems are discussed.
|
2103.13654
|
Takuya Yoda
|
Toshiaki Fujimori, Masazumi Honda, Syo Kamata, Tatsuhiro Misumi,
Norisuke Sakai and Takuya Yoda
|
Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$
SQED
|
23+16 pages, 14 figures
|
Prog. Theor. Exp. Phys. (2021) 103B04
|
10.1093/ptep/ptab086
|
YITP-21-13, KUNS-2859
|
hep-th cond-mat.str-el math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We study a resurgence structure of a quantum field theory with a phase
transition to uncover relations between resurgence and phase transitions. In
particular, we focus on three-dimensional $\mathcal{N}=4$ supersymmetric
quantum electrodynamics (SQED) with multiple hypermultiplets, where a
second-order quantum phase transition has been recently proposed in the
large-flavor limit. We provide interpretations of the phase transition from the
viewpoints of Lefschetz thimbles and resurgence. For this purpose, we study the
Lefschetz thimble structure and properties of the large-flavor expansion for
the partition function obtained by the supersymmetric localization. We show
that the second-order phase transition is understood as a phenomenon where a
Stokes and anti-Stokes phenomenon occurs simultaneously. The order of the phase
transition is determined by how saddles collide at the critical point. In
addition, the phase transition accompanies an infinite number of Stokes
phenomena due to the supersymmetry. These features are appropriately mapped to
the Borel plane structures as the resurgence theory expects. Given the lessons
from the SQED, we provide a more general discussion on the relationship between
the resurgence and phase transitions. In particular, we show how the
information on the phase transition is decoded from the Borel resummation
technique.
|
[
{
"created": "Thu, 25 Mar 2021 08:02:56 GMT",
"version": "v1"
}
] |
2021-11-11
|
[
[
"Fujimori",
"Toshiaki",
""
],
[
"Honda",
"Masazumi",
""
],
[
"Kamata",
"Syo",
""
],
[
"Misumi",
"Tatsuhiro",
""
],
[
"Sakai",
"Norisuke",
""
],
[
"Yoda",
"Takuya",
""
]
] |
We study a resurgence structure of a quantum field theory with a phase transition to uncover relations between resurgence and phase transitions. In particular, we focus on three-dimensional $\mathcal{N}=4$ supersymmetric quantum electrodynamics (SQED) with multiple hypermultiplets, where a second-order quantum phase transition has been recently proposed in the large-flavor limit. We provide interpretations of the phase transition from the viewpoints of Lefschetz thimbles and resurgence. For this purpose, we study the Lefschetz thimble structure and properties of the large-flavor expansion for the partition function obtained by the supersymmetric localization. We show that the second-order phase transition is understood as a phenomenon where a Stokes and anti-Stokes phenomenon occurs simultaneously. The order of the phase transition is determined by how saddles collide at the critical point. In addition, the phase transition accompanies an infinite number of Stokes phenomena due to the supersymmetry. These features are appropriately mapped to the Borel plane structures as the resurgence theory expects. Given the lessons from the SQED, we provide a more general discussion on the relationship between the resurgence and phase transitions. In particular, we show how the information on the phase transition is decoded from the Borel resummation technique.
|
1605.03948
|
Alexandre Filippov
|
A.T. Filippov
|
A fresh view of cosmological models describing very early Universe:
general solution of the dynamical equations
|
10 pages; added 2 pages (Sec. 5); significantly edited: Sec.4 (p.7),
Abstract, Sec.1; corrected misprints
| null |
10.1134/S1547477117020091
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The dynamics of any spherical cosmology with a scalar field (`scalaron')
coupling to gravity is described by the nonlinear second-order differential
equations for two metric functions and the scalaron depending on the `time'
parameter. The equations depend on the scalaron potential and on the arbitrary
gauge function that describes time parameterizations. This dynamical system can
be integrated for flat, isotropic models with very special potentials. But,
somewhat unexpectedly, replacing the `time' variable by one of the metric
functions allows us to completely integrate the general spherical theory in any
gauge and with apparently arbitrary potentials. The main restrictions on the
potential arise from positivity of the derived analytic expressions for the
solutions, which are essentially the squared canonical momenta. An interesting
consequence is emerging of classically forbidden regions for these analytic
solutions. It is also shown that in this rather general model the inflationary
solutions can be identified, explicitly derived, and compared to the standard
approximate expressions. This approach can be applied to intrinsically
anisotropic models with a massive vector field (`vecton') as well as to some
non-inflationary models.
|
[
{
"created": "Thu, 12 May 2016 19:30:09 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2016 17:12:51 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"Filippov",
"A. T.",
""
]
] |
The dynamics of any spherical cosmology with a scalar field (`scalaron') coupling to gravity is described by the nonlinear second-order differential equations for two metric functions and the scalaron depending on the `time' parameter. The equations depend on the scalaron potential and on the arbitrary gauge function that describes time parameterizations. This dynamical system can be integrated for flat, isotropic models with very special potentials. But, somewhat unexpectedly, replacing the `time' variable by one of the metric functions allows us to completely integrate the general spherical theory in any gauge and with apparently arbitrary potentials. The main restrictions on the potential arise from positivity of the derived analytic expressions for the solutions, which are essentially the squared canonical momenta. An interesting consequence is emerging of classically forbidden regions for these analytic solutions. It is also shown that in this rather general model the inflationary solutions can be identified, explicitly derived, and compared to the standard approximate expressions. This approach can be applied to intrinsically anisotropic models with a massive vector field (`vecton') as well as to some non-inflationary models.
|
2205.06098
|
Stratos Pateloudis
|
Stratos Pateloudis, Georg Bergner, Norbert Bodendorfer, Masanori
Hanada, Enrico Rinaldi and Andreas Sch\"afer
|
Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN
matrix model
|
36 pages 14 figures. Published version. Data are available upon
request to Stratos Pateloudis
|
JHEP 08 (2022) 178
|
10.1007/JHEP08(2022)178
| null |
hep-th hep-lat
|
http://creativecommons.org/licenses/by/4.0/
|
We test a conjecture by Maldacena and Milekhin for the ungauged version of
the Berenstein-Maldacena-Nastase (BMN) matrix model by lattice Monte Carlo
simulation. The numerical results reproduce the perturbative and gravity
results in the limit of large and small flux parameter, respectively, and are
consistent with the conjecture.
|
[
{
"created": "Thu, 12 May 2022 14:08:07 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Aug 2022 17:58:19 GMT",
"version": "v2"
}
] |
2022-08-29
|
[
[
"Pateloudis",
"Stratos",
""
],
[
"Bergner",
"Georg",
""
],
[
"Bodendorfer",
"Norbert",
""
],
[
"Hanada",
"Masanori",
""
],
[
"Rinaldi",
"Enrico",
""
],
[
"Schäfer",
"Andreas",
""
]
] |
We test a conjecture by Maldacena and Milekhin for the ungauged version of the Berenstein-Maldacena-Nastase (BMN) matrix model by lattice Monte Carlo simulation. The numerical results reproduce the perturbative and gravity results in the limit of large and small flux parameter, respectively, and are consistent with the conjecture.
|
1704.08613
|
Dong-han Yeom
|
Pisin Chen, Dong-han Yeom
|
Entropy evolution of moving mirrors and the information loss problem
|
16 pages, 5 figures
|
Phys. Rev. D 96, 025016 (2017)
|
10.1103/PhysRevD.96.025016
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the entanglement entropy and the information flow of
two-dimensional moving mirrors. Here we point out that various mirror
trajectories can help to mimic different candidate resolutions to the
information loss paradox following the semi-classical quantum field theory: (i)
a suddenly stopping mirror corresponds to the assertion that all information is
attached to the last burst, (ii) a slowly stopping mirror corresponds to the
assertion that thermal Hawking radiation carries information, and (iii) a long
propagating mirror corresponds to the remnant scenario. Based on such analogy,
we find that the last burst of a black hole cannot contain enough information,
while slowly emitting radiation can restore unitarity. For all cases, there is
an apparent inconsistency between the picture based on quantum entanglements
and that based on the semi-classical quantum field theory. Based on the quantum
entanglement theory, a stopping mirror will generate a firewall-like violent
emission which is in conflict with notions based on the semi-classical quantum
field theory.
|
[
{
"created": "Thu, 27 Apr 2017 15:01:35 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Jul 2017 05:38:12 GMT",
"version": "v2"
}
] |
2017-07-25
|
[
[
"Chen",
"Pisin",
""
],
[
"Yeom",
"Dong-han",
""
]
] |
We investigate the entanglement entropy and the information flow of two-dimensional moving mirrors. Here we point out that various mirror trajectories can help to mimic different candidate resolutions to the information loss paradox following the semi-classical quantum field theory: (i) a suddenly stopping mirror corresponds to the assertion that all information is attached to the last burst, (ii) a slowly stopping mirror corresponds to the assertion that thermal Hawking radiation carries information, and (iii) a long propagating mirror corresponds to the remnant scenario. Based on such analogy, we find that the last burst of a black hole cannot contain enough information, while slowly emitting radiation can restore unitarity. For all cases, there is an apparent inconsistency between the picture based on quantum entanglements and that based on the semi-classical quantum field theory. Based on the quantum entanglement theory, a stopping mirror will generate a firewall-like violent emission which is in conflict with notions based on the semi-classical quantum field theory.
|
hep-th/9709215
|
Sabbir A. Rahman
|
Sabbir Rahman
|
The path towards manifest background independence
|
9 pages, phyzzx
| null | null |
MIT-CTP-2649
|
hep-th
| null |
The set of string vertices is extended to include moduli spaces with genus
and numbers of ordinary and special punctures ranging over all integral values
$g,n,\bar n\geq0$. It is argued that both the string background and the B-V
delta operator should be associated with the vertex $\B^0_{0,1}$ corresponding
to the once-punctured sphere. This leads naturally to the proposal that the
manifestly background independent formulation of quantum closed string field
theory is given by the sum $\B$ of the completed set of string vertices
satisfying the classical master equation $\{\B,\B\}=0$.
|
[
{
"created": "Tue, 30 Sep 1997 13:49:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Rahman",
"Sabbir",
""
]
] |
The set of string vertices is extended to include moduli spaces with genus and numbers of ordinary and special punctures ranging over all integral values $g,n,\bar n\geq0$. It is argued that both the string background and the B-V delta operator should be associated with the vertex $\B^0_{0,1}$ corresponding to the once-punctured sphere. This leads naturally to the proposal that the manifestly background independent formulation of quantum closed string field theory is given by the sum $\B$ of the completed set of string vertices satisfying the classical master equation $\{\B,\B\}=0$.
|
2102.05029
|
Yoni BenTov
|
Yoni BenTov
|
Schwinger-Keldysh path integral for the quantum harmonic oscillator
|
112 pages, 1 figure
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I review the generating function for quantum-statistical mechanics, known as
the Feynman-Vernon influence functional, the decoherence functional, or the
Schwinger-Keldysh path integral. I describe a probability-conserving
$i\varepsilon$ prescription from a path-integral implementation of Lindblad
evolution. I also explain how to generalize the formalism to accommodate
out-of-time-ordered correlators (OTOCs), leading to a Larkin-Ovchinnikov path
integral. My goal is to provide step-by-step calculations of path integrals
associated to the harmonic oscillator.
|
[
{
"created": "Tue, 9 Feb 2021 18:47:32 GMT",
"version": "v1"
}
] |
2021-02-10
|
[
[
"BenTov",
"Yoni",
""
]
] |
I review the generating function for quantum-statistical mechanics, known as the Feynman-Vernon influence functional, the decoherence functional, or the Schwinger-Keldysh path integral. I describe a probability-conserving $i\varepsilon$ prescription from a path-integral implementation of Lindblad evolution. I also explain how to generalize the formalism to accommodate out-of-time-ordered correlators (OTOCs), leading to a Larkin-Ovchinnikov path integral. My goal is to provide step-by-step calculations of path integrals associated to the harmonic oscillator.
|
2104.10194
|
Amin Akhavan
|
Amin Akhavan
|
The minimum energy state
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We define the minimum energy state while the expectation value of the field,
evolves in time. We obtain the relation between the n-point functions in such a
state, and the external field for all the moments. We obtain an equation of
motion and the renormalization counterterms for the external field in the first
order of interaction.
|
[
{
"created": "Tue, 20 Apr 2021 18:25:27 GMT",
"version": "v1"
}
] |
2021-04-22
|
[
[
"Akhavan",
"Amin",
""
]
] |
We define the minimum energy state while the expectation value of the field, evolves in time. We obtain the relation between the n-point functions in such a state, and the external field for all the moments. We obtain an equation of motion and the renormalization counterterms for the external field in the first order of interaction.
|
1810.11364
|
Bhabani Prasad Mandal Prof.
|
Vipul Kumar Pandey, Bhabani Prasad Mandal
|
Conformal to Harmonic Gauge for Bosonic Strings
|
8 Pages. arXiv admin note: substantial text overlap with
arXiv:1805.05527
| null |
10.1209/0295-5075/125/21001
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Polyakov theory of Bosonic strings in conformal gauge which are
used to study conformal anomaly. However it exhibits ghost number anomaly. We
show how this anomaly can be avoided by connecting this theory to that of in
background covariant harmonic gauge which is known to be free from conformal
and ghost number current anomaly, by using suitably constructed finite field
dependent BRST transformation.
|
[
{
"created": "Thu, 11 Oct 2018 14:36:11 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Dec 2018 15:31:44 GMT",
"version": "v2"
}
] |
2019-05-22
|
[
[
"Pandey",
"Vipul Kumar",
""
],
[
"Mandal",
"Bhabani Prasad",
""
]
] |
We consider Polyakov theory of Bosonic strings in conformal gauge which are used to study conformal anomaly. However it exhibits ghost number anomaly. We show how this anomaly can be avoided by connecting this theory to that of in background covariant harmonic gauge which is known to be free from conformal and ghost number current anomaly, by using suitably constructed finite field dependent BRST transformation.
|
1010.5354
|
Nikolaos Mavromatos
|
Nick E. Mavromatos
|
String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray
Astronomy
|
76 pages Latex, 16 figures, uses special macros. Invited Review, to
appear in Int. Journal of Modern Physics A (World Sci.)
|
Int.J.Mod.Phys.A25:5409-5485,2010
|
10.1142/S0217751X10050792
|
CERN-PH-TH/2010-250, KCL-PH-TH/2010-29
|
hep-th astro-ph.HE gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the first part of the review, I discuss ways of obtaining
Lorentz-Invariance-Violating (LIV) space-time foam in the modern context of
string theory, involving brane world scenarios. The foamy structures are
provided by lower-dimensional background brane defects in a D3-brane Universe,
whose density is a free parameter to be constrained phenomenologically. Such
constraining can be provided by high energy gamma-ray photon tests, including
ultra-high energy/infrared photon-photon scattering. In the second part, I
analyze the currently available data from MAGIC and FERMI Telescopes on delayed
cosmic photon arrivals in this context. It is understood of course that
conventional Astrophysics source effects, which currently are far from being
understood, might be the dominant reason for the observed delayed arrivals. I
also discuss how the stringent constraints from studies of
synchrotron-radiation from distant Nebulae, absence of cosmic birefringence and
non observation of ultra-high-energy cosmic photons can be accommodated within
the aforementioned stringy space-time foam model. I argue that, at least within
the currently available sets of astrophysical data, the stringy foam model can
avoid all theses constraints in a natural range of the string coupling and mass
scale. The key features are: (i) transparency of the foam to electrons and
charged probes in general, (ii) absence of birefringence effects and (iii) a
breakdown of the local effective lagrangian formalism. However, in order to
accommodate, in this theoretical framework, the data of the FERMI satellite on
the delayed arrival of photons from the short intense Gamma Ray Burst GRB
090510, in a way consistent with the findings of the MAGIC telescope, a non
uniform density of brane foam defects must be invoked.
|
[
{
"created": "Tue, 26 Oct 2010 10:21:01 GMT",
"version": "v1"
}
] |
2011-01-28
|
[
[
"Mavromatos",
"Nick E.",
""
]
] |
In the first part of the review, I discuss ways of obtaining Lorentz-Invariance-Violating (LIV) space-time foam in the modern context of string theory, involving brane world scenarios. The foamy structures are provided by lower-dimensional background brane defects in a D3-brane Universe, whose density is a free parameter to be constrained phenomenologically. Such constraining can be provided by high energy gamma-ray photon tests, including ultra-high energy/infrared photon-photon scattering. In the second part, I analyze the currently available data from MAGIC and FERMI Telescopes on delayed cosmic photon arrivals in this context. It is understood of course that conventional Astrophysics source effects, which currently are far from being understood, might be the dominant reason for the observed delayed arrivals. I also discuss how the stringent constraints from studies of synchrotron-radiation from distant Nebulae, absence of cosmic birefringence and non observation of ultra-high-energy cosmic photons can be accommodated within the aforementioned stringy space-time foam model. I argue that, at least within the currently available sets of astrophysical data, the stringy foam model can avoid all theses constraints in a natural range of the string coupling and mass scale. The key features are: (i) transparency of the foam to electrons and charged probes in general, (ii) absence of birefringence effects and (iii) a breakdown of the local effective lagrangian formalism. However, in order to accommodate, in this theoretical framework, the data of the FERMI satellite on the delayed arrival of photons from the short intense Gamma Ray Burst GRB 090510, in a way consistent with the findings of the MAGIC telescope, a non uniform density of brane foam defects must be invoked.
|
2103.09930
|
Kuo-Wei Huang
|
Kuo-Wei Huang
|
$d>2$ Stress-Tensor OPE near a Line
|
15 pages
|
Phys. Rev. D 103, 121702 (2021)
|
10.1103/PhysRevD.103.L121702
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the $TT$ OPE in $d>2$ CFTs whose bulk dual is Einstein gravity.
Directly from the $TT$ OPE, we obtain, in a certain null-like limit, an
algebraic structure consistent with the Jacobi identity: $[{\cal L}_m, {\cal
L}_n]= (m-n) {\cal L}_{m+n}+ C m (m^2-1) \delta_{m+n,0}$. The dimensionless
constant $C$ is proportional to the central charge $C_T$. Transverse integrals
in the definition of ${\cal L}_m$ play a crucial role. We comment on the
corresponding limiting procedure and point out a curiosity related to the
central term. A connection between the $d>2$ near-lightcone stress-tensor
conformal block and the $d=2$ $\cal W$-algebra is observed. This note is
motivated by the search for a field-theoretic derivation of $d>2$ correlators
in strong coupling critical phenomena.
|
[
{
"created": "Wed, 17 Mar 2021 21:55:49 GMT",
"version": "v1"
}
] |
2021-06-16
|
[
[
"Huang",
"Kuo-Wei",
""
]
] |
We study the $TT$ OPE in $d>2$ CFTs whose bulk dual is Einstein gravity. Directly from the $TT$ OPE, we obtain, in a certain null-like limit, an algebraic structure consistent with the Jacobi identity: $[{\cal L}_m, {\cal L}_n]= (m-n) {\cal L}_{m+n}+ C m (m^2-1) \delta_{m+n,0}$. The dimensionless constant $C$ is proportional to the central charge $C_T$. Transverse integrals in the definition of ${\cal L}_m$ play a crucial role. We comment on the corresponding limiting procedure and point out a curiosity related to the central term. A connection between the $d>2$ near-lightcone stress-tensor conformal block and the $d=2$ $\cal W$-algebra is observed. This note is motivated by the search for a field-theoretic derivation of $d>2$ correlators in strong coupling critical phenomena.
|
hep-th/9511123
| null |
Rulin Xiu
|
Dynamical Determination of Dilaton and Moduli Vacuum Expectation Values
|
7 pages, revtex
| null | null |
HUTP-95/A044
|
hep-th
| null |
We determine the dilaton and moduli vacuum expectation values using the
one-loop effective potential and topological constraints. A new ingredient of
this analysis is that we use a dilaton K\"ahler potential that includes
renormalization effects to all loops. We find that the dilaton vacuum
expectation value is related to certain topological properties of the compact
spacetime. We demonstrate that values of the dilaton vacuum expectation value
that are consistent with the weak scale measurements can be dynamically
obtained in this fashion.
|
[
{
"created": "Thu, 16 Nov 1995 21:41:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Xiu",
"Rulin",
""
]
] |
We determine the dilaton and moduli vacuum expectation values using the one-loop effective potential and topological constraints. A new ingredient of this analysis is that we use a dilaton K\"ahler potential that includes renormalization effects to all loops. We find that the dilaton vacuum expectation value is related to certain topological properties of the compact spacetime. We demonstrate that values of the dilaton vacuum expectation value that are consistent with the weak scale measurements can be dynamically obtained in this fashion.
|
1911.10555
|
Volodymyr Gorkavenko
|
Yurii A. Sitenko and Volodymyr M. Gorkavenko
|
Polarization of the vacuum of quantized spinor field by a topological
defect in two-dimensional space
|
18 pages. arXiv admin note: substantial text overlap with
arXiv:1908.02058
|
Ukr. J. Phys. 2019, Vol.64 (11), 1069-1077
|
10.15407/ujpe64.11.1069
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-dimensional space with a topological defect is a transverse section of
three-dimensional space with the Abrikosov-Nielsen-Olesen vortex, i.e. a
gauge-flux-carrying tube which is impenetrable for quantum matter. Charged
spinor matter field is quantized in this section with the most general
mathematically admissible boundary condition at the edge of the defect. We show
that a current and a magnetic field are induced in the vacuum. The dependence
of the results on boundary conditions is studied, and we find that the
requirement of finiteness of the total induced vacuum magnetic flux removes an
ambiguity in the choice of boundary conditions. The differences between cases
of massive and massless spinor matter are discussed.
|
[
{
"created": "Sun, 24 Nov 2019 15:46:32 GMT",
"version": "v1"
}
] |
2020-01-16
|
[
[
"Sitenko",
"Yurii A.",
""
],
[
"Gorkavenko",
"Volodymyr M.",
""
]
] |
Two-dimensional space with a topological defect is a transverse section of three-dimensional space with the Abrikosov-Nielsen-Olesen vortex, i.e. a gauge-flux-carrying tube which is impenetrable for quantum matter. Charged spinor matter field is quantized in this section with the most general mathematically admissible boundary condition at the edge of the defect. We show that a current and a magnetic field are induced in the vacuum. The dependence of the results on boundary conditions is studied, and we find that the requirement of finiteness of the total induced vacuum magnetic flux removes an ambiguity in the choice of boundary conditions. The differences between cases of massive and massless spinor matter are discussed.
|
hep-th/9505022
| null |
R.Tateo
|
New functional dilogarithm identities and sine-Gordon Y-systems
|
13 pages , latex
|
Phys.Lett. B355 (1995) 157-164
|
10.1016/0370-2693(95)00751-6
|
DTP/95/16
|
hep-th
| null |
The sine-Gordon Y-systems and those of the minimal $M_{p,q}+\phi_{13}$ models
are determined in a compact form and a correspondence between the rational
numbers and a new infinite family of multi-parameter functional equations for
the Rogers dilogarithm is pointed out. The relation between the TBA-duality and
the massless RG fluxes in the minimal models recently conjectured is briefly
discussed.
|
[
{
"created": "Wed, 3 May 1995 14:11:30 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Tateo",
"R.",
""
]
] |
The sine-Gordon Y-systems and those of the minimal $M_{p,q}+\phi_{13}$ models are determined in a compact form and a correspondence between the rational numbers and a new infinite family of multi-parameter functional equations for the Rogers dilogarithm is pointed out. The relation between the TBA-duality and the massless RG fluxes in the minimal models recently conjectured is briefly discussed.
|
hep-th/0505043
|
Francisco A. Brito
|
F.A. Brito
|
Tachyon condensation on brane sphalerons
|
To appear in JHEP, 13 pages, 2 eps figures, minor changes and
references added
|
JHEP 0508 (2005) 036
|
10.1088/1126-6708/2005/08/036
| null |
hep-th
| null |
We consider a sphaleron solution in field theory that provides a toy model
for unstable D-branes of string theory. We investigate the tachyon condensation
on a Dp-brane. The localized modes, including a tachyon, arise in the spectrum
of a sphaleron solution of a \phi^4 field theory on M^{p+1}\times S^1. We use
these modes to find a multiscalar tachyon potential living on the sphaleron
world-volume. A complete cancelation between brane tension and the minimum of
the tachyon potential is found as the size of the circle becomes small.
|
[
{
"created": "Thu, 5 May 2005 08:41:49 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Jul 2005 16:59:28 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Brito",
"F. A.",
""
]
] |
We consider a sphaleron solution in field theory that provides a toy model for unstable D-branes of string theory. We investigate the tachyon condensation on a Dp-brane. The localized modes, including a tachyon, arise in the spectrum of a sphaleron solution of a \phi^4 field theory on M^{p+1}\times S^1. We use these modes to find a multiscalar tachyon potential living on the sphaleron world-volume. A complete cancelation between brane tension and the minimum of the tachyon potential is found as the size of the circle becomes small.
|
0803.3984
|
Hironobu Kihara
|
Hironobu Kihara
|
Grand Partition Functions of Little Matrix Models with ABCD
|
16 pages, 6 figures, references and comments are added
| null | null |
KIAS-P08027
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Itoyama-Tokura type USp matrix model is discussed. Non-Abelian Berry's phases
in a T-dualized model of IT model were reconsidered. These phases describe the
higher dimensional monopoles; Yang monopole and nine-dimensional monopole. They
are described by the connections of the BPST instanton on S^4 and the
Tchrakian-GKS instanton on S^8, respectively. As a preparation to understand
their effect in original zero-dimensional model, we consider partition function
of simplified matrix models. We compute partition functions of SU, SO and USp
reduced matrix models. Groups SO and USp appear in low energy effective
theories of string against orientifold background. In this evaluation we chose
different poles from that of Moore-Nekrasov-Shatashvili and our previous
result. The position of poles explain branes' and the orientifold's
configurations. There is a brane which is sitting on the orientifold in the
SO(2N) model, while in USp(2N) and SO(2N+1) model there are no branes on the
orientifold. The grand partition functions of these models are considered. They
follow to linear second order ordinary differential equations and their
singularities are q=0,\infty. Their solutions can be analytically continued to
whole q plane. We show the expectation values of the number N of A and C cases
as examples. There is an ambiguity coming from the problem on sign. Grand
partition functions with minus sign give effective actions which have cusp
singularities.
|
[
{
"created": "Thu, 27 Mar 2008 17:11:27 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Mar 2008 14:20:24 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Apr 2008 04:42:09 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Apr 2008 10:52:05 GMT",
"version": "v4"
},
{
"created": "Sat, 3 May 2008 09:47:12 GMT",
"version": "v5"
},
{
"created": "Tue, 11 Jan 2011 02:55:38 GMT",
"version": "v6"
}
] |
2011-01-12
|
[
[
"Kihara",
"Hironobu",
""
]
] |
Itoyama-Tokura type USp matrix model is discussed. Non-Abelian Berry's phases in a T-dualized model of IT model were reconsidered. These phases describe the higher dimensional monopoles; Yang monopole and nine-dimensional monopole. They are described by the connections of the BPST instanton on S^4 and the Tchrakian-GKS instanton on S^8, respectively. As a preparation to understand their effect in original zero-dimensional model, we consider partition function of simplified matrix models. We compute partition functions of SU, SO and USp reduced matrix models. Groups SO and USp appear in low energy effective theories of string against orientifold background. In this evaluation we chose different poles from that of Moore-Nekrasov-Shatashvili and our previous result. The position of poles explain branes' and the orientifold's configurations. There is a brane which is sitting on the orientifold in the SO(2N) model, while in USp(2N) and SO(2N+1) model there are no branes on the orientifold. The grand partition functions of these models are considered. They follow to linear second order ordinary differential equations and their singularities are q=0,\infty. Their solutions can be analytically continued to whole q plane. We show the expectation values of the number N of A and C cases as examples. There is an ambiguity coming from the problem on sign. Grand partition functions with minus sign give effective actions which have cusp singularities.
|
1504.03617
|
Olindo Corradini
|
Fiorenzo Bastianelli, Roberto Bonezzi, Olindo Corradini, Emanuele
Latini and Khaled Hassan Ould-Lahoucine
|
A worldline approach to colored particles
|
11 pages, to appear in the Proceedings of the Victor Villanueva
Memorial Workshop
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relativistic particle actions are a useful tool to describe quantum field
theory effective actions using a string-inspired first-quantized approach. Here
we describe how to employ suitable particle actions in the computation of the
scalar contribution to the one-loop gluon effective action. We use the
well-known method of introducing auxiliary variables that create the color
degrees of freedom. In a path integral they implement automatically the path
ordering needed to ensure gauge invariance. It is known that the color degrees
of freedom introduced this way form a reducible representation of the gauge
group. We describe a method of projecting onto the fundamental representation
(or any other chosen irrep, if desired) of the gauge group. Previously, we have
discussed the case of anticommuting auxiliary variables. Choosing them to be in
the fundamental representation allows to obtain, without any extra effort, also
the situation in which the color is given by any antisymmetric tensor product
of the fundamental. Here, we describe the novel case of bosonic auxiliary
variables. They can be used equivalently for creating the color charges in the
fundamental representation. In addition one gets, as a byproduct, the cases
where the particle can have the color sitting in any symmetric tensor product
of the fundamental. This is obtained by tuning to a different value a Chern
Simons coupling, present in the model, which controls how the projection is
achieved.
|
[
{
"created": "Tue, 14 Apr 2015 16:38:35 GMT",
"version": "v1"
}
] |
2015-04-15
|
[
[
"Bastianelli",
"Fiorenzo",
""
],
[
"Bonezzi",
"Roberto",
""
],
[
"Corradini",
"Olindo",
""
],
[
"Latini",
"Emanuele",
""
],
[
"Ould-Lahoucine",
"Khaled Hassan",
""
]
] |
Relativistic particle actions are a useful tool to describe quantum field theory effective actions using a string-inspired first-quantized approach. Here we describe how to employ suitable particle actions in the computation of the scalar contribution to the one-loop gluon effective action. We use the well-known method of introducing auxiliary variables that create the color degrees of freedom. In a path integral they implement automatically the path ordering needed to ensure gauge invariance. It is known that the color degrees of freedom introduced this way form a reducible representation of the gauge group. We describe a method of projecting onto the fundamental representation (or any other chosen irrep, if desired) of the gauge group. Previously, we have discussed the case of anticommuting auxiliary variables. Choosing them to be in the fundamental representation allows to obtain, without any extra effort, also the situation in which the color is given by any antisymmetric tensor product of the fundamental. Here, we describe the novel case of bosonic auxiliary variables. They can be used equivalently for creating the color charges in the fundamental representation. In addition one gets, as a byproduct, the cases where the particle can have the color sitting in any symmetric tensor product of the fundamental. This is obtained by tuning to a different value a Chern Simons coupling, present in the model, which controls how the projection is achieved.
|
hep-th/0505041
|
Volker Braun
|
Volker Braun, Yang-Hui He, Burt A. Ovrut, Tony Pantev
|
Vector Bundle Extensions, Sheaf Cohomology, and the Heterotic Standard
Model
|
62 pages, 2 figures, LaTeX. v2: references added
|
Adv.Theor.Math.Phys.10:4,2006
| null |
UPR-1118-T
|
hep-th
| null |
Stable, holomorphic vector bundles are constructed on an torus fibered,
non-simply connected Calabi-Yau threefold using the method of bundle
extensions. Since the manifold is multiply connected, we work with equivariant
bundles on the elliptically fibered covering space. The cohomology groups of
the vector bundle, which yield the low energy spectrum, are computed using the
Leray spectral sequence and fit the requirements of particle phenomenology. The
physical properties of these vacua were discussed previously. In this paper, we
systematically compute all relevant cohomology groups and explicitly prove the
existence of the necessary vector bundle extensions. All mathematical details
are explained in a pedagogical way, providing the technical framework for
constructing heterotic standard model vacua.
|
[
{
"created": "Wed, 4 May 2005 19:59:17 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2005 20:56:05 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Braun",
"Volker",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Pantev",
"Tony",
""
]
] |
Stable, holomorphic vector bundles are constructed on an torus fibered, non-simply connected Calabi-Yau threefold using the method of bundle extensions. Since the manifold is multiply connected, we work with equivariant bundles on the elliptically fibered covering space. The cohomology groups of the vector bundle, which yield the low energy spectrum, are computed using the Leray spectral sequence and fit the requirements of particle phenomenology. The physical properties of these vacua were discussed previously. In this paper, we systematically compute all relevant cohomology groups and explicitly prove the existence of the necessary vector bundle extensions. All mathematical details are explained in a pedagogical way, providing the technical framework for constructing heterotic standard model vacua.
|
2202.09720
|
Lisa Carbone
|
Lisa Carbone and Natalie M. Paquette
|
Imaginary reflections and discrete symmetries in the heterotic Monster
| null | null | null | null |
hep-th math.GR
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Let $\mathbb{M}$ be the Monster finite simple group. We give an
interpretation of certain discrete symmetries of a family of heterotic string
compactifications to $1 + 1$ dimensions in terms of discrete symmetries of the
Monster Lie algebra $\frak m$, and more generally Carnahan's family of
Monstrous Lie algebras $\frak m_g$, for $g\in\mathbb{M}$ of Fricke type. We
relate a Weyl group-type reflection $w_{\im}$, with respect to an imaginary
simple root, to a composition of T-duality, time reversal, and parity reversal
transformations in the compactified heterotic string. The transformation
$w_{\im}$ also has a natural permutation action on the BPS states of the
compactified heterotic string.
|
[
{
"created": "Sun, 20 Feb 2022 03:04:20 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Feb 2022 02:37:57 GMT",
"version": "v2"
},
{
"created": "Sun, 6 Mar 2022 21:20:54 GMT",
"version": "v3"
}
] |
2022-03-08
|
[
[
"Carbone",
"Lisa",
""
],
[
"Paquette",
"Natalie M.",
""
]
] |
Let $\mathbb{M}$ be the Monster finite simple group. We give an interpretation of certain discrete symmetries of a family of heterotic string compactifications to $1 + 1$ dimensions in terms of discrete symmetries of the Monster Lie algebra $\frak m$, and more generally Carnahan's family of Monstrous Lie algebras $\frak m_g$, for $g\in\mathbb{M}$ of Fricke type. We relate a Weyl group-type reflection $w_{\im}$, with respect to an imaginary simple root, to a composition of T-duality, time reversal, and parity reversal transformations in the compactified heterotic string. The transformation $w_{\im}$ also has a natural permutation action on the BPS states of the compactified heterotic string.
|
0704.0121
|
Changhyun Ahn
|
Changhyun Ahn
|
Meta-Stable Brane Configuration of Product Gauge Groups
|
27 pp; 7 figures; Pages 8, 17 and 18 improved and figure 7 corrected;
the abstract and introduction improved and to appear in CQG
|
Class.Quant.Grav.25:075001,2008
|
10.1088/0264-9381/25/7/075001
| null |
hep-th
| null |
Starting from the N=1 SU(N_c) x SU(N_c') gauge theory with fundamental and
bifundamental flavors, we apply the Seiberg dual to the first gauge group and
obtain the N=1 dual gauge theory with dual matters including the gauge
singlets. By analyzing the F-term equations of the superpotential, we describe
the intersecting type IIA brane configuration for the meta-stable
nonsupersymmetric vacua of this gauge theory. By introducing an orientifold
6-plane, we generalize to the case for N=1 SU(N_c) x SO(N_c') gauge theory with
fundamental and bifundamental flavors. Finally, the N=1 SU(N_c) x Sp(N_c')
gauge theory with matters is also described very briefly.
|
[
{
"created": "Mon, 2 Apr 2007 05:02:33 GMT",
"version": "v1"
},
{
"created": "Thu, 31 May 2007 13:00:29 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Feb 2008 15:37:24 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Ahn",
"Changhyun",
""
]
] |
Starting from the N=1 SU(N_c) x SU(N_c') gauge theory with fundamental and bifundamental flavors, we apply the Seiberg dual to the first gauge group and obtain the N=1 dual gauge theory with dual matters including the gauge singlets. By analyzing the F-term equations of the superpotential, we describe the intersecting type IIA brane configuration for the meta-stable nonsupersymmetric vacua of this gauge theory. By introducing an orientifold 6-plane, we generalize to the case for N=1 SU(N_c) x SO(N_c') gauge theory with fundamental and bifundamental flavors. Finally, the N=1 SU(N_c) x Sp(N_c') gauge theory with matters is also described very briefly.
|
1912.09939
|
Balthazar de Vaulchier
|
Alex Kehagias, Herv\'e Partouche, Balthazar de Vaulchier
|
Induced Einstein gravity from infinite towers of states
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider four-dimensional quadratic gravity coupled to infinite towers of
free massive scalar fields, Weyl fermions and vector bosons. We find that for
specific numbers of towers, finite cosmological and Newton constants are
induced in the 1-loop effective action. This is derived both in Adler's
approach and by using the heat kernel method, which yield identical results. If
the infinite number of massive states may be regarded as Kaluza--Klein modes
arising from fields in higher dimensions, there are no Kaluza--Klein states
associated with the four-dimensional graviton. Hence gravity is intrinsically
four-dimensional.
|
[
{
"created": "Fri, 20 Dec 2019 16:58:18 GMT",
"version": "v1"
}
] |
2019-12-24
|
[
[
"Kehagias",
"Alex",
""
],
[
"Partouche",
"Hervé",
""
],
[
"de Vaulchier",
"Balthazar",
""
]
] |
We consider four-dimensional quadratic gravity coupled to infinite towers of free massive scalar fields, Weyl fermions and vector bosons. We find that for specific numbers of towers, finite cosmological and Newton constants are induced in the 1-loop effective action. This is derived both in Adler's approach and by using the heat kernel method, which yield identical results. If the infinite number of massive states may be regarded as Kaluza--Klein modes arising from fields in higher dimensions, there are no Kaluza--Klein states associated with the four-dimensional graviton. Hence gravity is intrinsically four-dimensional.
|
hep-th/0107079
|
Jose M. F. Labastida
|
Jose M. F. Labastida
|
Math and Physics
|
latex, 20 pages, talk delivered at the special seminar in honor of F.
J. Yndurain
| null | null | null |
hep-th math-ph math.MP
| null |
I present a brief review on some of the recent developments in topological
quantum field theory. These include topological string theory, topological
Yang-Mills theory and Chern-Simons gauge theory. It is emphasized how the
application of different field and string theory methods has led to important
progress, opening entirely new points of view in the context of Gromov-Witten
invariants, Donaldson invariants, and quantum-group invariants for knots and
links.
|
[
{
"created": "Tue, 10 Jul 2001 13:24:51 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Labastida",
"Jose M. F.",
""
]
] |
I present a brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory. It is emphasized how the application of different field and string theory methods has led to important progress, opening entirely new points of view in the context of Gromov-Witten invariants, Donaldson invariants, and quantum-group invariants for knots and links.
|
1508.01866
|
Mehdi Dehghani
|
Salman Abarghouei Nejad, Mehdi Dehghani, Majid Monemzadeh
|
Lagrange multiplier and Wess-Zumino variable as large extra dimensions
in the torus universe
|
Major revision: text and contents corrected and recovered thanks to
unknown journal referee. Many refs added. Final version which will be
published in the journal
|
J. High Energ. Phys. (2018) 2018: 17
|
10.1007/JHEP01(2018)017
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the effect of the topology of universe by gauging the
non-relativistic particle model on the torus and 3-torus, using the symplectic
formalism of constrained systems and embedding those models on extended
phase-spaces. Also, we obtain the generators of the gauge transformations for
gauged models. Extracting the corresponding Poisson structure of the existed
constraints, we show the effect of the topology on the canonical structure of
the phase-spaces of those models and suggest some phenomenology to prove the
topology of the universe and probable non-commutative structure of the space.
In addition, we show that the number of large extra dimensions in the
Phase-spaces of the gauged embeded models are exactly two. Moreover, in the
classical form, we talk over MOND theory in order to study the origin of the
terms appeared in the gauged theory, which modify the Newton's second law.
|
[
{
"created": "Sat, 8 Aug 2015 07:53:33 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Dec 2017 18:22:33 GMT",
"version": "v2"
}
] |
2018-01-09
|
[
[
"Nejad",
"Salman Abarghouei",
""
],
[
"Dehghani",
"Mehdi",
""
],
[
"Monemzadeh",
"Majid",
""
]
] |
We study the effect of the topology of universe by gauging the non-relativistic particle model on the torus and 3-torus, using the symplectic formalism of constrained systems and embedding those models on extended phase-spaces. Also, we obtain the generators of the gauge transformations for gauged models. Extracting the corresponding Poisson structure of the existed constraints, we show the effect of the topology on the canonical structure of the phase-spaces of those models and suggest some phenomenology to prove the topology of the universe and probable non-commutative structure of the space. In addition, we show that the number of large extra dimensions in the Phase-spaces of the gauged embeded models are exactly two. Moreover, in the classical form, we talk over MOND theory in order to study the origin of the terms appeared in the gauged theory, which modify the Newton's second law.
|
1009.0617
|
Alberto Alonso Dr
|
Alberto Alonso-Izquierdo, Miguel Angel Gonzalez Leon, Juan Mateos
Guilarte, Marina de la Torre Mayado
|
On domain walls in a Ginzburg-Landau non-linear S^2-sigma model
|
26 pages, 18 figures
|
JHEP 1008:111,2010
|
10.1007/JHEP08(2010)111
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The domain wall solutions of a Ginzburg-Landau non-linear $S^2$-sigma hybrid
model are unveiled. There are three types of basic topological walls and two
types of degenerate families of composite - one topological, the other
non-topological- walls. The domain wall solutions are identified as the finite
action trajectories (in infinite time) of a related mechanical system that is
Hamilton-Jacobi separable in sphero-conical coordinates. The physical and
mathematical features of these domain walls are thoroughly discussed.
|
[
{
"created": "Fri, 3 Sep 2010 09:18:40 GMT",
"version": "v1"
}
] |
2011-03-28
|
[
[
"Alonso-Izquierdo",
"Alberto",
""
],
[
"Leon",
"Miguel Angel Gonzalez",
""
],
[
"Guilarte",
"Juan Mateos",
""
],
[
"Mayado",
"Marina de la Torre",
""
]
] |
The domain wall solutions of a Ginzburg-Landau non-linear $S^2$-sigma hybrid model are unveiled. There are three types of basic topological walls and two types of degenerate families of composite - one topological, the other non-topological- walls. The domain wall solutions are identified as the finite action trajectories (in infinite time) of a related mechanical system that is Hamilton-Jacobi separable in sphero-conical coordinates. The physical and mathematical features of these domain walls are thoroughly discussed.
|
0912.2361
|
Franco Ferrari
|
Franco Ferrari
|
On a possible approach to general field theories with nonpolynomial
interactions
|
15 pages, LaTeX + RevTeX 4, some misprints have been corrected, a new
proof has been added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work a class of massive scalar field theories with self-interactions
described by a general potential is studied. Under the sole condition that the
potential admits the Fourier representation, it is shown that such theories may
be mapped into a standard field theory, in which the interaction of the new
fields is a polynomial of fourth degree. With some restrictions, this mapping
allows the perturbative treatment of models that are otherwise intractable with
standard field theoretical methods.
A nonperturbative approach to these theories is attempted. The original
scalar field is integrated out exactly at the price of introducing auxiliary
vector fields. The latter are treated in a mean field theory approximation. The
singularities that arise after the elimination of the auxiliary fields are
cured using the dimensional regularization. The expression of the counterterms
to be subtracted is computed.
|
[
{
"created": "Fri, 11 Dec 2009 21:31:43 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2010 19:35:58 GMT",
"version": "v2"
},
{
"created": "Sat, 27 Mar 2010 13:02:41 GMT",
"version": "v3"
}
] |
2010-03-30
|
[
[
"Ferrari",
"Franco",
""
]
] |
In this work a class of massive scalar field theories with self-interactions described by a general potential is studied. Under the sole condition that the potential admits the Fourier representation, it is shown that such theories may be mapped into a standard field theory, in which the interaction of the new fields is a polynomial of fourth degree. With some restrictions, this mapping allows the perturbative treatment of models that are otherwise intractable with standard field theoretical methods. A nonperturbative approach to these theories is attempted. The original scalar field is integrated out exactly at the price of introducing auxiliary vector fields. The latter are treated in a mean field theory approximation. The singularities that arise after the elimination of the auxiliary fields are cured using the dimensional regularization. The expression of the counterterms to be subtracted is computed.
|
hep-th/0002092
|
Konstadinos Sfetsos
|
I. Bakas, A. Brandhuber and K. Sfetsos
|
Riemann surfaces and Schrodinger potentials of gauged supergravity
|
13 pages, latex; contribution to the proceedings of the TMR meeting
"Quantum Aspects of Gauge Theories, Supersymmetry and Unification" held in
Paris in September 1999
| null | null |
CERN-TH/2000-046, NEIP-00-003
|
hep-th
| null |
Supersymmetric domain-wall solutions of maximal gauged supergravity are
classified in 4, 5 and 7 dimensions in the presence of non-trivial scalar
fields taking values in the coset SL(N, R)/SO(N) for N=8, 6 and 5 respectively.
We use an algebro-geometric method based on the Christoffel-Schwarz
transformation, which allows for the characterization of the solutions in terms
of Riemann surfaces whose genus depends on the isometry group. The
uniformization of the curves can be carried out explicitly for models of low
genus and results into trigonometric and elliptic solutions for the scalar
fields and the conformal factor of the metric. The Schrodinger potentials for
the quantum fluctuations of the graviton and scalar fields are derived on these
backgrounds and enjoy all properties of supersymmetric quantum mechanics.
Special attention is given to a class of elliptic models whose quantum
fluctuations are commonly described by the generalized Lame potential
\mu(\mu+1)P(z) + \nu(\nu+1)P(z+\omega_1)+ \kappa(\kappa+1)P(z+\omega_2) +
\lambda(\lambda+1)P(z+\omega_1 +\omega_2) for the Weierstrass function P(z) of
the underlying Riemann surfaces with periods 2\omega_1 and 2\omega_2, for
different half-integer values of the coupling constants \mu, \nu, \kappa,
\lambda.
|
[
{
"created": "Fri, 11 Feb 2000 09:40:48 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bakas",
"I.",
""
],
[
"Brandhuber",
"A.",
""
],
[
"Sfetsos",
"K.",
""
]
] |
Supersymmetric domain-wall solutions of maximal gauged supergravity are classified in 4, 5 and 7 dimensions in the presence of non-trivial scalar fields taking values in the coset SL(N, R)/SO(N) for N=8, 6 and 5 respectively. We use an algebro-geometric method based on the Christoffel-Schwarz transformation, which allows for the characterization of the solutions in terms of Riemann surfaces whose genus depends on the isometry group. The uniformization of the curves can be carried out explicitly for models of low genus and results into trigonometric and elliptic solutions for the scalar fields and the conformal factor of the metric. The Schrodinger potentials for the quantum fluctuations of the graviton and scalar fields are derived on these backgrounds and enjoy all properties of supersymmetric quantum mechanics. Special attention is given to a class of elliptic models whose quantum fluctuations are commonly described by the generalized Lame potential \mu(\mu+1)P(z) + \nu(\nu+1)P(z+\omega_1)+ \kappa(\kappa+1)P(z+\omega_2) + \lambda(\lambda+1)P(z+\omega_1 +\omega_2) for the Weierstrass function P(z) of the underlying Riemann surfaces with periods 2\omega_1 and 2\omega_2, for different half-integer values of the coupling constants \mu, \nu, \kappa, \lambda.
|
hep-th/9307095
|
Alberto Vazquez Saa
|
Alberto Saa
|
A geometrical action for dilaton gravity
|
8 pages. Final version, major modifications
|
Class.Quant.Grav.12:L85-L88,1995
|
10.1088/0264-9381/12/8/004
| null |
hep-th
| null |
We study the gravitational interaction involving the dilaton and the
anti-symmetrical $B_{\mu\nu}$ fields that arises in the low-energy limit of
string theory. It is shown that such interaction can be derived from a
geometrical action principle, with the scalar of curvature of a non-Riemannian,
but {\em metric-compatible}, connection as the lagrangian, and with a
non-parallel volume-element. This action is contrasted with the recently
proposed geometrical action for the 4-dimensional axi-dilaton gravity.
|
[
{
"created": "Wed, 14 Jul 1993 12:05:00 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Sep 1993 08:44:22 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Mar 2000 08:48:32 GMT",
"version": "v3"
}
] |
2010-04-06
|
[
[
"Saa",
"Alberto",
""
]
] |
We study the gravitational interaction involving the dilaton and the anti-symmetrical $B_{\mu\nu}$ fields that arises in the low-energy limit of string theory. It is shown that such interaction can be derived from a geometrical action principle, with the scalar of curvature of a non-Riemannian, but {\em metric-compatible}, connection as the lagrangian, and with a non-parallel volume-element. This action is contrasted with the recently proposed geometrical action for the 4-dimensional axi-dilaton gravity.
|
1406.6014
|
Georgi Dvali
|
Gia Dvali and Cesar Gomez
|
Corpuscular Breaking of Supersymmetry
|
32 pages, Latex
| null | null | null |
hep-th hep-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Are topological solitons elementary or composites? We answer this question by
drawing up a corpuscular formalism in which solitons are coherent states of
quantum constituents. This naturally leads to a functional integral
representation, in which the classical saddle point is reached as the most
probable distribution of corpuscles in the $\hbar = 0$ limit and where quantum
corpuscular corrections correspond to excursions away from such a distribution
that occur only for finite $\hbar$. Several striking features come up.
Topological charge emerges as a collective flow of quantum numbers carried by
individual corpuscles. Moreover, the corpuscular corrections are not reducible
to any known form of quantum corrections, such as loop expansions in the
coupling constant $\hbar g^2$ or semiclassical $e^{-1/\hbar g^2}$ effects.
Corpuscular corrections are stronger and appear already at order $\sqrt{\hbar
g^2}$. In SUSY theories quantum corpuscular corrections generically break
supersymmetry. We show that a domain wall which perturbatively is a BPS state,
violates all supersymmetries when the corpuscular effects are taken into
account. The extension of the corpuscular structure to $D$-branes can lead to a
built-in supersymmetry breaking mechanism in string theory, insensitive to
technicalities such as moduli stabilization, with the SUSY breaking scale set
by the string coupling times the $D$-brane tension.
|
[
{
"created": "Mon, 23 Jun 2014 18:38:45 GMT",
"version": "v1"
}
] |
2014-06-25
|
[
[
"Dvali",
"Gia",
""
],
[
"Gomez",
"Cesar",
""
]
] |
Are topological solitons elementary or composites? We answer this question by drawing up a corpuscular formalism in which solitons are coherent states of quantum constituents. This naturally leads to a functional integral representation, in which the classical saddle point is reached as the most probable distribution of corpuscles in the $\hbar = 0$ limit and where quantum corpuscular corrections correspond to excursions away from such a distribution that occur only for finite $\hbar$. Several striking features come up. Topological charge emerges as a collective flow of quantum numbers carried by individual corpuscles. Moreover, the corpuscular corrections are not reducible to any known form of quantum corrections, such as loop expansions in the coupling constant $\hbar g^2$ or semiclassical $e^{-1/\hbar g^2}$ effects. Corpuscular corrections are stronger and appear already at order $\sqrt{\hbar g^2}$. In SUSY theories quantum corpuscular corrections generically break supersymmetry. We show that a domain wall which perturbatively is a BPS state, violates all supersymmetries when the corpuscular effects are taken into account. The extension of the corpuscular structure to $D$-branes can lead to a built-in supersymmetry breaking mechanism in string theory, insensitive to technicalities such as moduli stabilization, with the SUSY breaking scale set by the string coupling times the $D$-brane tension.
|
hep-th/0210270
|
Mark Laidlaw
|
M. Laidlaw
|
The Off-Shell Boundary State and Cross-Caps in the Genus Expansion of
String Theory
|
28 pages, 0 figures
| null | null | null |
hep-th
| null |
We use the boundary state formalism for the bosonic string to calculate the
emission amplitude for closed string states from particular D-branes. We show
that the amplitudes obtained are exactly the same as those obtained from the
world-sheet sigma model calculation, and that the construction enforces the
requirement for integrated vertex operators, even in the off-shell case. Using
the expressions obtained for the boundary state we propose higher order terms
in the string loop expansion for the background considered.
|
[
{
"created": "Mon, 28 Oct 2002 20:52:18 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Laidlaw",
"M.",
""
]
] |
We use the boundary state formalism for the bosonic string to calculate the emission amplitude for closed string states from particular D-branes. We show that the amplitudes obtained are exactly the same as those obtained from the world-sheet sigma model calculation, and that the construction enforces the requirement for integrated vertex operators, even in the off-shell case. Using the expressions obtained for the boundary state we propose higher order terms in the string loop expansion for the background considered.
|
hep-th/0406229
|
Alexander I. Nesterov
|
Alexander I. Nesterov, Lev V. Sabinin
|
Nonassociative geometry: Friedmann-Robertson-Walker spacetime
| null |
Int. J. Geom. Methods Mod. Phys. 03, 1481 (2006)
|
10.1142/S0219887806001806
| null |
hep-th gr-qc math-ph math.DG math.MP
| null |
In (Phys. Rev. D 62, 081501, 2000) we proposed a unified approach to
description of continuous and discrete spacetime based on nonassociative
geometry and described nonassociative smooth and discrete de Sitter models. In
our paper we give the description of nonassociative Friedmann-Robertson-Walker
spacetime.
|
[
{
"created": "Thu, 24 Jun 2004 18:10:51 GMT",
"version": "v1"
}
] |
2013-01-15
|
[
[
"Nesterov",
"Alexander I.",
""
],
[
"Sabinin",
"Lev V.",
""
]
] |
In (Phys. Rev. D 62, 081501, 2000) we proposed a unified approach to description of continuous and discrete spacetime based on nonassociative geometry and described nonassociative smooth and discrete de Sitter models. In our paper we give the description of nonassociative Friedmann-Robertson-Walker spacetime.
|
2309.13852
|
Yusuke Taki
|
Kenta Suzuki and Yusuke Taki
|
Dimensional Reduction of the $S^3$/WZW Duality
|
36 pages
| null | null |
RUP-23-16, YITP-23-114
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently proposed duality relates the critical level limit $\hat{k} \to -2$
of $SU(2)_{\hat{k}}$ WZW models to a classical three-dimensional Einstein
gravity on a sphere. In this paper, we propose a dimensional reduced version of
this duality. The gravity side is reduced to a Jackiw-Teitelboim (JT) gravity
on $S^2$ with a non-standard boundary term, or a BF theory with $SU(2)$ gauge
symmetry. At least in low temperature limit, these two-dimensional gravity
theories completely capture the original three-dimensional gravity effect. The
CFT side is reduced to a certain complex Liouville quantum mechanics (LQM) with
$SU(2)$ gauge symmetry. Our proposal gives an interesting example of a
holography without boundary. We also discuss a higher-spin generalization with
$SU(N)$ gauge symmetry.
|
[
{
"created": "Mon, 25 Sep 2023 03:44:36 GMT",
"version": "v1"
}
] |
2023-09-26
|
[
[
"Suzuki",
"Kenta",
""
],
[
"Taki",
"Yusuke",
""
]
] |
Recently proposed duality relates the critical level limit $\hat{k} \to -2$ of $SU(2)_{\hat{k}}$ WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this duality. The gravity side is reduced to a Jackiw-Teitelboim (JT) gravity on $S^2$ with a non-standard boundary term, or a BF theory with $SU(2)$ gauge symmetry. At least in low temperature limit, these two-dimensional gravity theories completely capture the original three-dimensional gravity effect. The CFT side is reduced to a certain complex Liouville quantum mechanics (LQM) with $SU(2)$ gauge symmetry. Our proposal gives an interesting example of a holography without boundary. We also discuss a higher-spin generalization with $SU(N)$ gauge symmetry.
|
hep-th/0508147
|
Shyamoli Chaudhuri
|
Shyamoli Chaudhuri
|
CHL Compactifications and Beyond
|
7pgs. Transcript of talk given at the 3rd Simons Workshop on
Mathematics & Physics, Jul 26 2005, SUNY-Stonybrook
| null | null | null |
hep-th hep-ph
| null |
This is the transcript of a talk given at the 3rd Simons Workshop in
Mathematics and Physics on July 26, 2005. We review the genesis of the CHL
(Chaudhuri-Hockney-Lykken) project, explaining both its phenomenological goals
and theoretical justification in light of the known vast proliferation of N=1
string vacua. We explain what a CHL compactification is, review some key
results such as the construction of moduli spaces with a small number of
massless scalar fields, the decompactification of such moduli spaces to one of
five consistent ten-dimensional superstring theories, and the appearance of
electric-magnetic duality in only the four-dimensional moduli spaces, a 1995
observation due to Chaudhuri & Polchinski.
|
[
{
"created": "Mon, 22 Aug 2005 19:56:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Chaudhuri",
"Shyamoli",
""
]
] |
This is the transcript of a talk given at the 3rd Simons Workshop in Mathematics and Physics on July 26, 2005. We review the genesis of the CHL (Chaudhuri-Hockney-Lykken) project, explaining both its phenomenological goals and theoretical justification in light of the known vast proliferation of N=1 string vacua. We explain what a CHL compactification is, review some key results such as the construction of moduli spaces with a small number of massless scalar fields, the decompactification of such moduli spaces to one of five consistent ten-dimensional superstring theories, and the appearance of electric-magnetic duality in only the four-dimensional moduli spaces, a 1995 observation due to Chaudhuri & Polchinski.
|
1108.3394
|
Anton Galajinsky
|
Anton Galajinsky and Armen Nersessian
|
Conformal mechanics inspired by extremal black holes in d=4
|
V2: presentation improved, new material and references added; the
version to appear in JHEP
|
JHEP 1111 (2011) 135
|
10.1007/JHEP11(2011)135
|
LMP-TPU-9/11
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A canonical transformation which relates the model of a massive relativistic
particle moving near the horizon of an extremal black hole in four dimensions
and the conventional conformal mechanics is constructed in two different ways.
The first approach makes use of the action-angle variables in the angular
sector. The second scheme relies upon integrability of the system in the sense
of Liouville.
|
[
{
"created": "Wed, 17 Aug 2011 05:07:15 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Nov 2011 08:27:18 GMT",
"version": "v2"
}
] |
2017-07-28
|
[
[
"Galajinsky",
"Anton",
""
],
[
"Nersessian",
"Armen",
""
]
] |
A canonical transformation which relates the model of a massive relativistic particle moving near the horizon of an extremal black hole in four dimensions and the conventional conformal mechanics is constructed in two different ways. The first approach makes use of the action-angle variables in the angular sector. The second scheme relies upon integrability of the system in the sense of Liouville.
|
hep-th/9207012
| null |
W. A. Sabra
|
Classical Hamiltonian Reduction and Superconformal Algebras
|
21 pages, revised version contains minor grammatical changes and an
update of refernces
|
Phys.Lett. B313 (1993) 68-74
|
10.1016/0370-2693(93)91192-P
|
BIR/PH/92-2
|
hep-th
| null |
The Polyakov's "soldering procedure" which shows how two-dimensional
diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed
using the free-field representation of SL(2,R) current algebra. Using this
formalism, the relation of Polyakov's method to that of the Hamiltonian
reduction becomes transparent. This discussion is then generalised to N=1
superdiffeomorphisms which can be obtained from N=1 super Osp(1,2) gauge
transformations. It is also demonstrated that the phase space of the Osp(2,2)
supercurrent algebra represented by free superfields is connected to the
classical phase space of N=2 superconformal algebra via Hamiltonian reduction.}
|
[
{
"created": "Fri, 3 Jul 1992 17:06:00 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jul 1992 18:50:00 GMT",
"version": "v2"
}
] |
2009-10-22
|
[
[
"Sabra",
"W. A.",
""
]
] |
The Polyakov's "soldering procedure" which shows how two-dimensional diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed using the free-field representation of SL(2,R) current algebra. Using this formalism, the relation of Polyakov's method to that of the Hamiltonian reduction becomes transparent. This discussion is then generalised to N=1 superdiffeomorphisms which can be obtained from N=1 super Osp(1,2) gauge transformations. It is also demonstrated that the phase space of the Osp(2,2) supercurrent algebra represented by free superfields is connected to the classical phase space of N=2 superconformal algebra via Hamiltonian reduction.}
|
2211.13240
|
Carlos Nunez
|
Mohammad Akhond, Andrea Legramandi, Carlos Nunez, Leonardo Santilli
and Lucas Schepers
|
Matrix Models and Holography: Mass Deformations of Long Quiver Theories
in 5d and 3d
|
46 pages plus appendices. Various figures. Some improvements and
references added. SciPost Physics version
|
SciPost Phys. 15, 086 (2023)
|
10.21468/SciPostPhys.15.3.086
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We enlarge the dictionary between matrix models for long linear quivers
preserving eight supercharges in $d=5$ and $d=3$ and type IIB supergravity
backgrounds with AdS$_{d+1}$ factors. We introduce mass deformations of the
field theory that break the quiver into a collection of interacting linear
quivers, which are decoupled at the end of the RG flow. We find and solve a
Laplace problem in supergravity which realises these deformations
holographically. The free energy and expectation values of antisymmetric Wilson
loops are calculated on both sides of the proposed duality, finding agreement.
Our matching procedure sheds light on the F-theorem in five dimensions.
|
[
{
"created": "Wed, 23 Nov 2022 19:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Dec 2022 12:40:54 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Apr 2023 12:38:53 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Sep 2023 11:35:38 GMT",
"version": "v4"
}
] |
2023-09-11
|
[
[
"Akhond",
"Mohammad",
""
],
[
"Legramandi",
"Andrea",
""
],
[
"Nunez",
"Carlos",
""
],
[
"Santilli",
"Leonardo",
""
],
[
"Schepers",
"Lucas",
""
]
] |
We enlarge the dictionary between matrix models for long linear quivers preserving eight supercharges in $d=5$ and $d=3$ and type IIB supergravity backgrounds with AdS$_{d+1}$ factors. We introduce mass deformations of the field theory that break the quiver into a collection of interacting linear quivers, which are decoupled at the end of the RG flow. We find and solve a Laplace problem in supergravity which realises these deformations holographically. The free energy and expectation values of antisymmetric Wilson loops are calculated on both sides of the proposed duality, finding agreement. Our matching procedure sheds light on the F-theorem in five dimensions.
|
hep-th/9902015
|
Herbert Neuberger
|
Herbert Neuberger (Rutgers)
|
Mathematical aspects of chiral gauge theories on the lattice
|
10 pages, latex, uses ip.sty
| null | null |
RU-99-8
|
hep-th hep-lat
| null |
For two decades it was believed that chiral symmetries cannot be realized in
lattice field theory but this has changed now. Highlights of these new
developments will be presented with emphasis on the mathematical structure of
the so called ``overlap''.
|
[
{
"created": "Mon, 1 Feb 1999 17:45:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Neuberger",
"Herbert",
"",
"Rutgers"
]
] |
For two decades it was believed that chiral symmetries cannot be realized in lattice field theory but this has changed now. Highlights of these new developments will be presented with emphasis on the mathematical structure of the so called ``overlap''.
|
1304.5685
|
Hongbo Cheng
|
Jingyun Man, Hongbo Cheng
|
The description of phase transition in a black hole with conformal
anomaly in the Ehrenfest's scheme
|
8 pages, 5 figures
|
International Journal of Theoretical Physics 54(2015)260
|
10.1007/s10773-014-2220-8
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make use of the Ehrenfest's equation to explore the phase transition of a
black hole with conformal anomaly. The first order phase transition is ruled
out because no discontinuity appears in entropy of the black holes. We find
that the phase transition of black holes belong to the second order subject to
the Ehrenfest's equations. Further we also show that the second order phase
transition will not happen for the black holes without conformal anomaly.
|
[
{
"created": "Sun, 21 Apr 2013 03:31:41 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2013 08:58:45 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Jul 2015 04:48:50 GMT",
"version": "v3"
}
] |
2015-07-02
|
[
[
"Man",
"Jingyun",
""
],
[
"Cheng",
"Hongbo",
""
]
] |
We make use of the Ehrenfest's equation to explore the phase transition of a black hole with conformal anomaly. The first order phase transition is ruled out because no discontinuity appears in entropy of the black holes. We find that the phase transition of black holes belong to the second order subject to the Ehrenfest's equations. Further we also show that the second order phase transition will not happen for the black holes without conformal anomaly.
|
hep-th/0002199
|
Gianguido Dall'Agata
|
A. Ceresole, G. Dall'Agata, R. D'Auria and S. Ferrara
|
Supergravity Predictions on Conformal Field Theories
|
8 pages, uses JHEP.cls, Contribution to the proceedings of the TMR
Conference on Quantum Aspects of Gauge Theories, Supersymmetry and
Unification, Paris, 1-7 September 1999
| null | null | null |
hep-th
| null |
We give an update on recent results about the matching between CFT operators
and KK states in the AdS/CFT correspondence, and add some new comments on the
realization of the baryonic symmetries from the supergravity point of view.
|
[
{
"created": "Wed, 23 Feb 2000 16:42:14 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Ceresole",
"A.",
""
],
[
"Dall'Agata",
"G.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Ferrara",
"S.",
""
]
] |
We give an update on recent results about the matching between CFT operators and KK states in the AdS/CFT correspondence, and add some new comments on the realization of the baryonic symmetries from the supergravity point of view.
|
hep-th/9708088
|
Jim Wheeler
|
James T. Wheeler
|
Why Quantum Mechanics is Complex
|
10 pages, Plain TeX, Honorable Mention 1996 GRG Essay
| null | null |
FTG-USU-176
|
hep-th
| null |
The zero-signature Killing metric of a new, real-valued, 8-dimensional
gauging of the conformal group accounts for the complex character of quantum
mechanics. The new gauge theory gives manifolds which generalize curved,
relativistic phase space. The difference in signature between the usual
momentum space metric and the Killing metric of the new geometry gives rise to
an imaginary proportionality constant connecting the momentumlike variables of
the two spaces. Path integral quantization becomes an average over dilation
factors, with the integral of the Weyl vector taking the role of the action.
Minimal U(1) electromagnetic coupling is predicted.
|
[
{
"created": "Fri, 15 Aug 1997 22:21:55 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Wheeler",
"James T.",
""
]
] |
The zero-signature Killing metric of a new, real-valued, 8-dimensional gauging of the conformal group accounts for the complex character of quantum mechanics. The new gauge theory gives manifolds which generalize curved, relativistic phase space. The difference in signature between the usual momentum space metric and the Killing metric of the new geometry gives rise to an imaginary proportionality constant connecting the momentumlike variables of the two spaces. Path integral quantization becomes an average over dilation factors, with the integral of the Weyl vector taking the role of the action. Minimal U(1) electromagnetic coupling is predicted.
|
hep-th/0310146
|
Luis Fernando Alday
|
L. F. Alday
|
Non-local charges on AdS_5 x S^5 and PP-waves
|
20 pages. JHEP. v2:references added
|
JHEP0312:033,2003
|
10.1088/1126-6708/2003/12/033
| null |
hep-th
| null |
We show the existence of an infinite set of non-local classically conserved
charges on the Green-Schwarz closed superstring in a pp-wave background. We
find that these charges agree with the Penrose limit of non-local classically
conserved charges recently found for the $AdS_5 \times S^5$ Green-Schwarz
superstring. The charges constructed in this paper could help to understand the
role played by these on the full $AdS_5 \times S^5$ background.
|
[
{
"created": "Wed, 15 Oct 2003 18:55:04 GMT",
"version": "v1"
},
{
"created": "Sat, 25 Oct 2003 15:25:46 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Alday",
"L. F.",
""
]
] |
We show the existence of an infinite set of non-local classically conserved charges on the Green-Schwarz closed superstring in a pp-wave background. We find that these charges agree with the Penrose limit of non-local classically conserved charges recently found for the $AdS_5 \times S^5$ Green-Schwarz superstring. The charges constructed in this paper could help to understand the role played by these on the full $AdS_5 \times S^5$ background.
|
1906.09478
|
Khadijeh Jafarzade
|
B. Eslam Panah and Kh. Jafarzade
|
Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating
Accelerating Black Holes
|
25 pages, 19 figures
|
Gen. Relativ. Gravit. 54, 19 (2022)
|
10.1007/s10714-022-02904-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study thermodynamic features of the charged rotating
accelerating black holes in anti-de Sitter spacetime. First, we consider these
black holes as the thermodynamic systems and analyze thermal
stability/instability through the use of heat capacity in the canonical
ensemble. We also investigate the effects of angular momentum, electric charge
and string tension on the thermodynamic quantities and stability of the system.
Considering the known relation between pressure and the cosmological constant,
we extract the critical quantities and discuss how the mentioned parameters
affect them. Then, we construct a heat engine by taking into account this black
hole as the working substance, and obtain the heat engine efficiency by
considering a rectangle heat cycle in the $P-V$ plane. We examine the effects
of black hole parameters on the efficiency and analyze their effective roles.
Finally, by comparing the engine efficiency with Carnot efficiency, we
investigate conditions in order to have a consistent thermodynamic second law.
|
[
{
"created": "Sat, 22 Jun 2019 17:56:19 GMT",
"version": "v1"
},
{
"created": "Wed, 21 Aug 2019 12:49:18 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Jun 2021 10:33:06 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Feb 2022 12:46:43 GMT",
"version": "v4"
}
] |
2022-02-11
|
[
[
"Panah",
"B. Eslam",
""
],
[
"Jafarzade",
"Kh.",
""
]
] |
In this paper, we study thermodynamic features of the charged rotating accelerating black holes in anti-de Sitter spacetime. First, we consider these black holes as the thermodynamic systems and analyze thermal stability/instability through the use of heat capacity in the canonical ensemble. We also investigate the effects of angular momentum, electric charge and string tension on the thermodynamic quantities and stability of the system. Considering the known relation between pressure and the cosmological constant, we extract the critical quantities and discuss how the mentioned parameters affect them. Then, we construct a heat engine by taking into account this black hole as the working substance, and obtain the heat engine efficiency by considering a rectangle heat cycle in the $P-V$ plane. We examine the effects of black hole parameters on the efficiency and analyze their effective roles. Finally, by comparing the engine efficiency with Carnot efficiency, we investigate conditions in order to have a consistent thermodynamic second law.
|
2312.02536
|
Sergio Cecotti
|
Sergio Cecotti
|
Direct and Inverse Problems in Special Geometry
|
159 pages, 1 figure
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The inverse problem of special geometry (Seiberg-Witten geometry of 4d N=2
SCFT) asks for a recursive construction of all such geometries in rank $r$ by
assembling together known lower-rank ``strata''. This leads to a program to
understand/construct/classify all special geometries which looks surprising
effective. After reviewing some advanced topics in special geometry, in this
long note we define the inverse problem and introduce the basic tools of the
trade. The program is essentially completed in rank 2, and we pave the way to
proceed to higher ranks. A central role is played by various notions of
geometric rigidity: in addition to the obvious one (triviality of the conformal
manifold), Falting-Saito-Peters rigidity and Deligne-Simpson rigidity also
enter in the story.
|
[
{
"created": "Tue, 5 Dec 2023 06:51:41 GMT",
"version": "v1"
}
] |
2023-12-06
|
[
[
"Cecotti",
"Sergio",
""
]
] |
The inverse problem of special geometry (Seiberg-Witten geometry of 4d N=2 SCFT) asks for a recursive construction of all such geometries in rank $r$ by assembling together known lower-rank ``strata''. This leads to a program to understand/construct/classify all special geometries which looks surprising effective. After reviewing some advanced topics in special geometry, in this long note we define the inverse problem and introduce the basic tools of the trade. The program is essentially completed in rank 2, and we pave the way to proceed to higher ranks. A central role is played by various notions of geometric rigidity: in addition to the obvious one (triviality of the conformal manifold), Falting-Saito-Peters rigidity and Deligne-Simpson rigidity also enter in the story.
|
1705.06403
|
Gabriel Menezes
|
R. Acosta Diaz, G. Menezes, N. F. Svaiter, C. A. D. Zarro
|
Spontaneous symmetry breaking in replica field theory
|
Accepted for publication in Physical Review D
|
Phys. Rev. D 96, 065012 (2017)
|
10.1103/PhysRevD.96.065012
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we discuss a disordered $d$-dimensional Euclidean
$\lambda\varphi^{4}$ model. The dominant contribution to the average free
energy of this system is written as a series of the replica partition functions
of the model. In each replica partition function, using the saddle-point
equations and imposing the replica symmetric ansatz, we show the presence of a
spontaneous symmetry breaking mechanism in the disordered model. Moreover, the
leading replica partition function must be described by a large-$N$ Euclidean
replica field theory. We discuss finite temperature effects considering
periodic boundary condition in Euclidean time and also using the
Landau-Ginzburg approach. In the low temperature regime we prove the existence
of $N$ instantons in the model.
|
[
{
"created": "Thu, 18 May 2017 03:05:17 GMT",
"version": "v1"
},
{
"created": "Sun, 10 Sep 2017 17:19:30 GMT",
"version": "v2"
}
] |
2017-09-20
|
[
[
"Diaz",
"R. Acosta",
""
],
[
"Menezes",
"G.",
""
],
[
"Svaiter",
"N. F.",
""
],
[
"Zarro",
"C. A. D.",
""
]
] |
In this paper we discuss a disordered $d$-dimensional Euclidean $\lambda\varphi^{4}$ model. The dominant contribution to the average free energy of this system is written as a series of the replica partition functions of the model. In each replica partition function, using the saddle-point equations and imposing the replica symmetric ansatz, we show the presence of a spontaneous symmetry breaking mechanism in the disordered model. Moreover, the leading replica partition function must be described by a large-$N$ Euclidean replica field theory. We discuss finite temperature effects considering periodic boundary condition in Euclidean time and also using the Landau-Ginzburg approach. In the low temperature regime we prove the existence of $N$ instantons in the model.
|
1005.3952
|
Eric Bergshoeff
|
Eric A. Bergshoeff, Olaf Hohm, Jan Rosseel, Ergin Sezgin and Paul K.
Townsend
|
More on Massive 3D Supergravity
|
v1 : 53 pages, 1 figure; v2 : significantly shortened, 42 p., version
published in Class. Quant. Grav
|
Class.Quant.Grav.28:015002,2011
|
10.1088/0264-9381/28/1/015002
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Completing earlier work on three dimensional (3D) N=1 supergravity with
curvature-squared terms, we construct the general supergravity extension of
cosmological massive gravity theories. We expand about supersymmetric anti-de
Sitter vacua, finding the conditions for bulk unitarity and the critical points
in parameter space at which the spectrum changes. We discuss implications for
the dual conformal field theory.
|
[
{
"created": "Fri, 21 May 2010 13:27:59 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Dec 2010 17:03:24 GMT",
"version": "v2"
}
] |
2010-12-17
|
[
[
"Bergshoeff",
"Eric A.",
""
],
[
"Hohm",
"Olaf",
""
],
[
"Rosseel",
"Jan",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Townsend",
"Paul K.",
""
]
] |
Completing earlier work on three dimensional (3D) N=1 supergravity with curvature-squared terms, we construct the general supergravity extension of cosmological massive gravity theories. We expand about supersymmetric anti-de Sitter vacua, finding the conditions for bulk unitarity and the critical points in parameter space at which the spectrum changes. We discuss implications for the dual conformal field theory.
|
2012.15315
|
Igor Yu. Potemine
|
Igor Yu. Potemine
|
Hecke-Langlands Duality and Witten's Gravitational Moonshine
|
12 pages
| null |
10.4236/jhepgc.2021.72022
| null |
hep-th gr-qc math-ph math.MP math.NT
|
http://creativecommons.org/licenses/by/4.0/
|
We show that there is a dual description of conformal blocks of $d=2$
rational CFT in terms of Hecke eigenfields and eigensheaves. In particular,
partition functions, conformal characters and lattice theta functions may be
reconstructed from the action of Hecke operators. This method can be applied
to: 1) rings of integers of Galois number fields equipped with the trace (or
anti-trace) form; 2) root lattices of affine Kac-Moody algebras and WZW-models;
3) minimal models of Belavin-Polyakov-Zamolodchikov and related $d=2$
spin-chain/lattice models; 4) vertex algebras of Leech and Niemeier lattices
and others. We also use the original Witten's idea to construct the
3-dimensional quantum gravity as the AdS/CFT-dual of $c=24$ Monster vertex
algebra of Frenkel-Lepowsky-Meurman. Concerning the geometric Langlands
duality, we use results of Beilinson-Drinfeld, Frenkel-Ben-Zvi,
Gukov-Kapustin-Witten and many others (cf. references).
|
[
{
"created": "Wed, 30 Dec 2020 20:41:44 GMT",
"version": "v1"
}
] |
2021-06-24
|
[
[
"Potemine",
"Igor Yu.",
""
]
] |
We show that there is a dual description of conformal blocks of $d=2$ rational CFT in terms of Hecke eigenfields and eigensheaves. In particular, partition functions, conformal characters and lattice theta functions may be reconstructed from the action of Hecke operators. This method can be applied to: 1) rings of integers of Galois number fields equipped with the trace (or anti-trace) form; 2) root lattices of affine Kac-Moody algebras and WZW-models; 3) minimal models of Belavin-Polyakov-Zamolodchikov and related $d=2$ spin-chain/lattice models; 4) vertex algebras of Leech and Niemeier lattices and others. We also use the original Witten's idea to construct the 3-dimensional quantum gravity as the AdS/CFT-dual of $c=24$ Monster vertex algebra of Frenkel-Lepowsky-Meurman. Concerning the geometric Langlands duality, we use results of Beilinson-Drinfeld, Frenkel-Ben-Zvi, Gukov-Kapustin-Witten and many others (cf. references).
|
1507.07250
|
Daniel Baumann
|
Daniel Baumann, Hayden Lee, and Guilherme L. Pimentel
|
High-Scale Inflation and the Tensor Tilt
|
20 pages, 1 figure
| null |
10.1007/JHEP01(2016)101
| null |
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we explore a novel observational signature of gravitational
corrections during slow-roll inflation. We study the coupling of the inflaton
field to higher-curvature tensors in models with a minimal breaking of
conformal symmetry. In that case, the most general correction to the tensor
two-point function is captured by a coupling to the square of the Weyl tensor.
We show that these scenarios lead to a correction to the tilt of the tensor
power spectrum and hence a violation of the tensor consistency condition. We
arrive at the same conclusion through an analysis in conformal perturbation
theory.
|
[
{
"created": "Sun, 26 Jul 2015 20:43:39 GMT",
"version": "v1"
}
] |
2016-02-17
|
[
[
"Baumann",
"Daniel",
""
],
[
"Lee",
"Hayden",
""
],
[
"Pimentel",
"Guilherme L.",
""
]
] |
In this paper, we explore a novel observational signature of gravitational corrections during slow-roll inflation. We study the coupling of the inflaton field to higher-curvature tensors in models with a minimal breaking of conformal symmetry. In that case, the most general correction to the tensor two-point function is captured by a coupling to the square of the Weyl tensor. We show that these scenarios lead to a correction to the tilt of the tensor power spectrum and hence a violation of the tensor consistency condition. We arrive at the same conclusion through an analysis in conformal perturbation theory.
|
2210.06483
|
Pierre Heidmann
|
Ibrahima Bah and Pierre Heidmann
|
Non-BPS Bubbling Geometries in AdS$_3$
|
52 pages + Appendix, 16 figures; v2: minor changes and published
version
| null |
10.1007/JHEP02(2023)133
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct large classes of non-BPS smooth horizonless geometries that are
asymptotic to AdS$_3\times$S$^3\times$T$^4$ in type IIB supergravity. These
geometries are supported by electromagnetic flux corresponding to D1-D5
charges. We show that Einstein equations for systems with eight commuting
Killing vectors decompose into a set of Ernst equations, thereby admitting an
integrable structure. This feature, which can a priori be applied to other
AdS$_D\times\mathcal{C}$ settings in supergravity, allows us to use
solution-generating techniques associated with the Ernst formalism. We
explicitly derive solutions by applying the charged Weyl formalism that we have
previously developed. These are sourced internally by a chain of bolts that
correspond to regions where the orbits of the commuting Killing vectors
collapse smoothly. We show that these geometries can be interpreted as non-BPS
T$^4$ and S$^3$ deformations on global AdS$_3\times$S$^3\times$T$^4$ that are
located at the center of AdS$_3$. These non-BPS deformations can be made
arbitrarily small and should therefore correspond to non-supersymmetric
operators in the D1-D5 CFT. Finally, we also construct interesting bound states
of non-extremal BTZ black holes connected by regular bolts.
|
[
{
"created": "Wed, 12 Oct 2022 18:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Feb 2023 14:26:03 GMT",
"version": "v2"
}
] |
2023-03-22
|
[
[
"Bah",
"Ibrahima",
""
],
[
"Heidmann",
"Pierre",
""
]
] |
We construct large classes of non-BPS smooth horizonless geometries that are asymptotic to AdS$_3\times$S$^3\times$T$^4$ in type IIB supergravity. These geometries are supported by electromagnetic flux corresponding to D1-D5 charges. We show that Einstein equations for systems with eight commuting Killing vectors decompose into a set of Ernst equations, thereby admitting an integrable structure. This feature, which can a priori be applied to other AdS$_D\times\mathcal{C}$ settings in supergravity, allows us to use solution-generating techniques associated with the Ernst formalism. We explicitly derive solutions by applying the charged Weyl formalism that we have previously developed. These are sourced internally by a chain of bolts that correspond to regions where the orbits of the commuting Killing vectors collapse smoothly. We show that these geometries can be interpreted as non-BPS T$^4$ and S$^3$ deformations on global AdS$_3\times$S$^3\times$T$^4$ that are located at the center of AdS$_3$. These non-BPS deformations can be made arbitrarily small and should therefore correspond to non-supersymmetric operators in the D1-D5 CFT. Finally, we also construct interesting bound states of non-extremal BTZ black holes connected by regular bolts.
|
2210.10034
|
Stefano Giaccari
|
Stefano Giaccari and Roberto Volpato
|
A fresh view on string orbifolds
|
57 pages, 4 figures; v2: minor changes, references added; v3: revised
abstract and introduction, typos corrected, references added, version
accepted for publication
| null |
10.1007/JHEP01(2023)173
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In quantum field theory, an orbifold is a way to obtain a new theory from an
old one by gauging a finite global symmetry. This definition of orbifold does
not make sense for quantum gravity theories, that admit (conjecturally) no
global symmetries. In string theory, the orbifold procedure involves the
gauging of a global symmetry on the world-sheet theory describing the
fundamental string. Alternatively, it is a way to obtain a new string
background from an old one by quotienting some isometry. We propose a new
formulation of string orbifolds in terms of the group of gauge symmetries of a
given string model. In such a formulation, the `parent' and the `child'
theories correspond to different ways of breaking or gauging all potential
global symmetries of their common subsector. Through a couple of simple
examples, we describe how the higher group structure of the gauge group in the
parent theory plays a crucial role in determining the gauge group and the
twisted sector of the orbifold theory. We also discuss the dependence of this
orbifold procedure on the duality frame.
|
[
{
"created": "Tue, 18 Oct 2022 17:56:04 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Nov 2022 14:51:06 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Jan 2023 14:00:25 GMT",
"version": "v3"
}
] |
2023-02-15
|
[
[
"Giaccari",
"Stefano",
""
],
[
"Volpato",
"Roberto",
""
]
] |
In quantum field theory, an orbifold is a way to obtain a new theory from an old one by gauging a finite global symmetry. This definition of orbifold does not make sense for quantum gravity theories, that admit (conjecturally) no global symmetries. In string theory, the orbifold procedure involves the gauging of a global symmetry on the world-sheet theory describing the fundamental string. Alternatively, it is a way to obtain a new string background from an old one by quotienting some isometry. We propose a new formulation of string orbifolds in terms of the group of gauge symmetries of a given string model. In such a formulation, the `parent' and the `child' theories correspond to different ways of breaking or gauging all potential global symmetries of their common subsector. Through a couple of simple examples, we describe how the higher group structure of the gauge group in the parent theory plays a crucial role in determining the gauge group and the twisted sector of the orbifold theory. We also discuss the dependence of this orbifold procedure on the duality frame.
|
hep-th/9306105
|
John Gracey
|
J.A. Gracey
|
Gauged Nambu-Jona-Lasinio Model at O(1/N) with and without a
Chern-Simons Term
|
10 pages (latex), 2 figures (available from author on request),
LTH-311
|
Mod.Phys.Lett.A8:2205-2212,1993
|
10.1142/S0217732393001938
| null |
hep-th
| null |
We solve the gauged Nambu--Jona-Lasinio model at leading order in the large
$N$ expansion by computing the anomalous dimensions of all the fields of the
model and other gauge independent critical exponents by examining the scaling
behaviour of the Schwinger Dyson equation. We then restrict to the three
dimensional model and include a Chern Simons term to discover the
$\theta$-dependence of the same exponents where $\theta$ is the Chern Simons
coupling.
|
[
{
"created": "Mon, 21 Jun 1993 14:51:00 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Gracey",
"J. A.",
""
]
] |
We solve the gauged Nambu--Jona-Lasinio model at leading order in the large $N$ expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behaviour of the Schwinger Dyson equation. We then restrict to the three dimensional model and include a Chern Simons term to discover the $\theta$-dependence of the same exponents where $\theta$ is the Chern Simons coupling.
|
2010.03125
|
Oswaldo Monteiro Del Cima
|
O.M. Del Cima, D.H.T. Franco, L.S. Lima, E.S. Miranda
|
Quantum parity conservation in planar quantum electrodynamics
|
10 pages, 2 figures
|
Int. J. Theor. Phys. 60 (2021) 3063-3075
|
10.1007/s10773-021-04851-8
| null |
hep-th cond-mat.str-el hep-ph math-ph math.MP quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum parity conservation is verified at all orders in perturbation theory
for a massless parity-even $U(1)\times U(1)$ planar quantum electrodynamics
(QED$_3$) model. The presence of two massless fermions requires the
Lowenstein-Zimmermann (LZ) subtraction scheme, in the framework of the
Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method,
in order to subtract the infrared divergences induced by the ultraviolet
subtractions at 1- and 2-loops, however thanks to the superrenormalizability of
the model the ultraviolet divergences are bounded up to 2-loops. Finally, it is
proved that the BPHZL renormalization method preserves parity for the model
taken into consideration, contrary to what happens to the ordinary massless
parity-even $U(1)$ QED$_3$.
|
[
{
"created": "Wed, 7 Oct 2020 02:49:16 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Oct 2020 23:24:59 GMT",
"version": "v2"
}
] |
2021-09-30
|
[
[
"Del Cima",
"O. M.",
""
],
[
"Franco",
"D. H. T.",
""
],
[
"Lima",
"L. S.",
""
],
[
"Miranda",
"E. S.",
""
]
] |
Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even $U(1)\times U(1)$ planar quantum electrodynamics (QED$_3$) model. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme, in the framework of the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method, in order to subtract the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, however thanks to the superrenormalizability of the model the ultraviolet divergences are bounded up to 2-loops. Finally, it is proved that the BPHZL renormalization method preserves parity for the model taken into consideration, contrary to what happens to the ordinary massless parity-even $U(1)$ QED$_3$.
|
1703.02470
|
Alain Connes
|
Alain Connes
|
Geometry and the Quantum
|
To appear in a volume dedicated to the centenary of Hilbert's work on
the foundations of physics: "Foundations of Mathematics and Physics one
century after Hilbert". Editor: Joseph Kouneiher. Collection Mathematical
Physics, Springer 2017
| null | null | null |
hep-th gr-qc math.DG math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give a survey of our joint ongoing work with Ali Chamseddine, Slava
Mukhanov and Walter van Suijlekom. We show how a problem purely motivated by
"how geometry emerges from the quantum formalism" gives rise to a slightly
noncommutative structure and a spectral model of gravity coupled with matter
which fits with experimental knowledge. This text will appear as a contribution
to the volume: "Foundations of Mathematics and Physics one century after
Hilbert". Editor: Joseph Kouneiher. Collection Mathematical Physics, Springer
2017
|
[
{
"created": "Tue, 7 Mar 2017 16:56:41 GMT",
"version": "v1"
}
] |
2017-03-14
|
[
[
"Connes",
"Alain",
""
]
] |
We give a survey of our joint ongoing work with Ali Chamseddine, Slava Mukhanov and Walter van Suijlekom. We show how a problem purely motivated by "how geometry emerges from the quantum formalism" gives rise to a slightly noncommutative structure and a spectral model of gravity coupled with matter which fits with experimental knowledge. This text will appear as a contribution to the volume: "Foundations of Mathematics and Physics one century after Hilbert". Editor: Joseph Kouneiher. Collection Mathematical Physics, Springer 2017
|
1201.4170
|
Gabriele Travaglini
|
Andreas Brandhuber, Gabriele Travaglini, Gang Yang
|
Analytic two-loop form factors in N=4 SYM
|
34 pages, 6 figures. v2: typos fixed, references added. Relation to
hexagon remainder discussed in new section 4.6
| null |
10.1007/JHEP05(2012)082
|
QMUL-PH-12-01; WIS/03/12-JAN-DPPA
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive a compact expression for the three-point MHV form factors of
half-BPS operators in N=4 super Yang-Mills at two loops. The main tools of our
calculation are generalised unitarity applied at the form factor level, and the
compact expressions for supersymmetric tree-level form factors and amplitudes
entering the cuts. We confirm that infrared divergences exponentiate as
expected, and that collinear factorisation is entirely captured by an ABDK/BDS
ansatz. Next, we construct the two-loop remainder function obtained by
subtracting this ansatz from the full two-loop form factor and compute it
numerically. Using symbology, combined with various physical constraints and
symmetries, we find a unique solution for its symbol. With this input we
construct a remarkably compact analytic expression for the remainder function,
which contains only classical polylogarithms, and compare it to our numerical
results. Furthermore, we make the surprising observation that our remainder is
equal to the maximally transcendental piece of a closely related two-loop
amplitude in QCD.
|
[
{
"created": "Thu, 19 Jan 2012 20:59:58 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Mar 2012 12:58:58 GMT",
"version": "v2"
}
] |
2015-06-03
|
[
[
"Brandhuber",
"Andreas",
""
],
[
"Travaglini",
"Gabriele",
""
],
[
"Yang",
"Gang",
""
]
] |
We derive a compact expression for the three-point MHV form factors of half-BPS operators in N=4 super Yang-Mills at two loops. The main tools of our calculation are generalised unitarity applied at the form factor level, and the compact expressions for supersymmetric tree-level form factors and amplitudes entering the cuts. We confirm that infrared divergences exponentiate as expected, and that collinear factorisation is entirely captured by an ABDK/BDS ansatz. Next, we construct the two-loop remainder function obtained by subtracting this ansatz from the full two-loop form factor and compute it numerically. Using symbology, combined with various physical constraints and symmetries, we find a unique solution for its symbol. With this input we construct a remarkably compact analytic expression for the remainder function, which contains only classical polylogarithms, and compare it to our numerical results. Furthermore, we make the surprising observation that our remainder is equal to the maximally transcendental piece of a closely related two-loop amplitude in QCD.
|
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