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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0011092
|
Awad Adel
|
Adel M. Awad, Clifford V. Johnson
|
Scale Invariance and the AdS/CFT Correspondence
|
3 pages. LaTeX, IJMP style. Contribution to proceedings of DPF 2000,
held at Ohio State U
|
Int.J.Mod.Phys. A16S1C (2001) 1008-1010
|
10.1142/S0217751X01008734
| null |
hep-th
| null |
Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS)
rotating (Kerr) black holes in five and seven dimensions provide us with
examples of non-trivial field theories which are scale, but not conformally
invariant. This is demonstrated by our computation of the actions and the
stress-energy tensors of the four and six dimensional field theories residing
on the boundary of these Kerr-AdS black holes spacetimes.
|
[
{
"created": "Sat, 11 Nov 2000 23:10:05 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Awad",
"Adel M.",
""
],
[
"Johnson",
"Clifford V.",
""
]
] |
Using the AdS/CFT correspondence, we show that the Anti-de Sitter (AdS) rotating (Kerr) black holes in five and seven dimensions provide us with examples of non-trivial field theories which are scale, but not conformally invariant. This is demonstrated by our computation of the actions and the stress-energy tensors of the four and six dimensional field theories residing on the boundary of these Kerr-AdS black holes spacetimes.
|
hep-th/0201073
|
Solange Odile Saliu
|
C. Bizdadea, E. M. Cioroianu, M. T. Miauta, I. Negru, S. O. Saliu
|
Lagrangian cohomological couplings among vector fields and matter fields
|
18 pages, LaTeX 2.e
|
Annalen Phys. 10 (2001) 921-934
|
10.1002/1521-3889(200111)10:11/12<921::AID-ANDP921>3.0.CO;2-I
| null |
hep-th
| null |
Consistent couplings between a set of vector fields and a system of matter
fields are analysed in the framework of Lagrangian BRST cohomology.
|
[
{
"created": "Fri, 11 Jan 2002 13:10:26 GMT",
"version": "v1"
}
] |
2017-09-27
|
[
[
"Bizdadea",
"C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Miauta",
"M. T.",
""
],
[
"Negru",
"I.",
""
],
[
"Saliu",
"S. O.",
""
]
] |
Consistent couplings between a set of vector fields and a system of matter fields are analysed in the framework of Lagrangian BRST cohomology.
|
hep-th/9404078
|
Konstantinos Anagnostopoulos
|
Moustafa Awada and David Zoller
|
Phase Transition and Absence Of Ghosts in Rigid QED
|
9 pages, 1 figure, phyzzx, to appear in Phys. Lett. B235 (1994),
CINCI3-DEC-98
|
Phys.Lett. B325 (1994) 119-123
|
10.1016/0370-2693(94)90080-9
| null |
hep-th hep-lat
| null |
Ordinary QED formulated in the Feynman's space-time picture is equivalent to
a one dimensional field theory. In the large N limit there is no phase
transition in such a theory. In this letter, we show a phase transition does
exist in a generalization of QED characterized by the addition of the curvature
of the world line (rigidity) to the Feynman's space-time action. The large
distance scale of the disordered phase essentially coincides with ordinary QED,
while the ordered phase is strongly coupled. Although rigid QED exhibits the
typical pathologies of higher derivative theories at the classical level, we
show that both phases of the quantum theory are free of ghosts and tachyons.
Quantum fluctuations prevent taking the naive classical limit and inherting the
problems of the classical theory.
|
[
{
"created": "Wed, 13 Apr 1994 22:08:03 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Awada",
"Moustafa",
""
],
[
"Zoller",
"David",
""
]
] |
Ordinary QED formulated in the Feynman's space-time picture is equivalent to a one dimensional field theory. In the large N limit there is no phase transition in such a theory. In this letter, we show a phase transition does exist in a generalization of QED characterized by the addition of the curvature of the world line (rigidity) to the Feynman's space-time action. The large distance scale of the disordered phase essentially coincides with ordinary QED, while the ordered phase is strongly coupled. Although rigid QED exhibits the typical pathologies of higher derivative theories at the classical level, we show that both phases of the quantum theory are free of ghosts and tachyons. Quantum fluctuations prevent taking the naive classical limit and inherting the problems of the classical theory.
|
1807.05938
|
Christian Schubert
|
Idrish Huet, Michel Rausch de Traubenberg, Christian Schubert
|
Multiloop Euler-Heisenberg Lagrangians, Schwinger pair creation, and the
QED N - photon amplitudes
|
10 pages, 8 figures, Talk given by Christian Schubert at Loops and
Legs 2018 (St. Goar, April 29 - May 4, 2018)
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An update is given on our long-term effort to perform a three-loop check on
the Affleck-Alvarez-Manton/Lebedev-Ritus exponentiation conjecture for the
imaginary part of the Euler-Heisenberg Lagrangian, using 1+1 dimensional QED as
a toy model. After reviewing the history and significance of the conjecture, we
present trigonometric integral representations for the single electron loop
contributions to the three-loop Lagrangian, and develop a symmetry-based method
for the calculation of their weak-field expansion coefficients.
|
[
{
"created": "Mon, 16 Jul 2018 15:57:51 GMT",
"version": "v1"
}
] |
2018-07-17
|
[
[
"Huet",
"Idrish",
""
],
[
"de Traubenberg",
"Michel Rausch",
""
],
[
"Schubert",
"Christian",
""
]
] |
An update is given on our long-term effort to perform a three-loop check on the Affleck-Alvarez-Manton/Lebedev-Ritus exponentiation conjecture for the imaginary part of the Euler-Heisenberg Lagrangian, using 1+1 dimensional QED as a toy model. After reviewing the history and significance of the conjecture, we present trigonometric integral representations for the single electron loop contributions to the three-loop Lagrangian, and develop a symmetry-based method for the calculation of their weak-field expansion coefficients.
|
hep-th/0503211
|
Bernard de Wit
|
Bernard de Wit
|
Introduction to black hole entropy and supersymmetry
|
22 pages (LaTex). Based on lectures presented at the III Summer
School in Modern Mathematical Physics, Zlatibor, 20 -- 31 August, 2004. To be
published in the proceedings
| null | null |
YITP-05-12; ITP-UU-05/12; SPIN-05/10
|
hep-th
| null |
In these lectures we introduce some of the principles and techniques that are
relevant for the determination of the entropy of extremal black holes by either
string theory or supergravity. We consider such black holes with N=2 and N=4
supersymmetry, explaining how agreement is obtained for both the terms that are
leading and those that are subleading in the limit of large charges. We discuss
the relevance of these results in the context of the more recent developments.
|
[
{
"created": "Sun, 27 Mar 2005 11:19:40 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"de Wit",
"Bernard",
""
]
] |
In these lectures we introduce some of the principles and techniques that are relevant for the determination of the entropy of extremal black holes by either string theory or supergravity. We consider such black holes with N=2 and N=4 supersymmetry, explaining how agreement is obtained for both the terms that are leading and those that are subleading in the limit of large charges. We discuss the relevance of these results in the context of the more recent developments.
|
1401.6610
|
Yeuk-Kwan Edna Cheung
|
Peizhi Du, Gang Chen and Yeuk-Kwan E. Cheung
|
Permutation Relations of Yangian Invariants, Unitarity Cuts, and
Scattering Amplitudes
|
references added; 61 pages & 26 figures; final version on JHEP
|
JHEP 1409 (2014) 115
|
10.1007/JHEP09(2014)115
|
NITS-PHY-2014003
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We find a permutation relation among Yangian Invariants -- two Yangian
Invariants with adjacent external lines exchanged are related by a simple
kinematic factor. This relation is shown to be equivalent to U(1) decoupling
and Bern-Carrasco-Johansson (BCJ) relation at the level of maximal helicity
violating (MHV) amplitudes. Together with the newly found permutation relation
and using unitarity cuts to remove ambiguity in the definition of loop momenta
of cut amplitudes due to the nonplanar legs, we propose a systematic way of
reconstructing the the integrands of nonplanar MHV amplitudes up to a rational
function which vanishes under all possible unitarity cuts. This method when
applied to planar diagrams reproduces results from the single cut method. As
explicit examples the construction of one-loop double-trace MHV amplitudes of
4- and 5-point interactions are presented using on-shell diagrams. The
kinematic factors and the resultant planar diagrams are carefully dealt with
using the unitarity cut condition. The first next-to-MHV amplitudes are
addressed using generalized unitarity cuts. Their leading singularities can be
identified as residues of the Grassmanian integral. This example also serve to
demonstrate the power of the newly found relation of Yangian Invariants.
|
[
{
"created": "Sun, 26 Jan 2014 05:07:28 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2014 03:58:08 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Jan 2016 04:55:31 GMT",
"version": "v3"
}
] |
2016-01-18
|
[
[
"Du",
"Peizhi",
""
],
[
"Chen",
"Gang",
""
],
[
"Cheung",
"Yeuk-Kwan E.",
""
]
] |
We find a permutation relation among Yangian Invariants -- two Yangian Invariants with adjacent external lines exchanged are related by a simple kinematic factor. This relation is shown to be equivalent to U(1) decoupling and Bern-Carrasco-Johansson (BCJ) relation at the level of maximal helicity violating (MHV) amplitudes. Together with the newly found permutation relation and using unitarity cuts to remove ambiguity in the definition of loop momenta of cut amplitudes due to the nonplanar legs, we propose a systematic way of reconstructing the the integrands of nonplanar MHV amplitudes up to a rational function which vanishes under all possible unitarity cuts. This method when applied to planar diagrams reproduces results from the single cut method. As explicit examples the construction of one-loop double-trace MHV amplitudes of 4- and 5-point interactions are presented using on-shell diagrams. The kinematic factors and the resultant planar diagrams are carefully dealt with using the unitarity cut condition. The first next-to-MHV amplitudes are addressed using generalized unitarity cuts. Their leading singularities can be identified as residues of the Grassmanian integral. This example also serve to demonstrate the power of the newly found relation of Yangian Invariants.
|
2212.14506
|
Syo Kamata
|
Syo Kamata
|
Resurgence for the non-conformal Bjorken flow with Fermi-Dirac and
Bose-Einstein statistics
|
47 pages, 4 figures, 2 tables
| null | null | null |
hep-th math-ph math.MP nucl-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider resurgence for the nonconformal Bjorken flow with Fermi-Dirac and
Bose-Einstein statistics on the extended relaxation-time approximation. We
firstly consider full formal transseries expanded around the equilibrium and
then construct the resurgent relation by looking to the structure of Borel
transformed ODEs. We form a conjecture of the resurgent relation based on the
considerations that Stokes constants constituting of the resurgent relation
originate only from singularities of dissipative variables on the Borel plane
and that the other variables such as temperature and chemical potential become
Borel nonsummable through nonlinear terms with the dissipative variables. We
numerically check the conjecture for fundamental variables by explicitly
evaluating values of the dominant Stokes constant depending on initial
conditions and a particle mass. We also make comments on some issues related to
transseries structure and resurgence such as the case of broken $U(1)$
symmetry, the massless case, generalized relaxation-time, and attractor
solution.
|
[
{
"created": "Fri, 30 Dec 2022 01:23:20 GMT",
"version": "v1"
}
] |
2023-01-02
|
[
[
"Kamata",
"Syo",
""
]
] |
We consider resurgence for the nonconformal Bjorken flow with Fermi-Dirac and Bose-Einstein statistics on the extended relaxation-time approximation. We firstly consider full formal transseries expanded around the equilibrium and then construct the resurgent relation by looking to the structure of Borel transformed ODEs. We form a conjecture of the resurgent relation based on the considerations that Stokes constants constituting of the resurgent relation originate only from singularities of dissipative variables on the Borel plane and that the other variables such as temperature and chemical potential become Borel nonsummable through nonlinear terms with the dissipative variables. We numerically check the conjecture for fundamental variables by explicitly evaluating values of the dominant Stokes constant depending on initial conditions and a particle mass. We also make comments on some issues related to transseries structure and resurgence such as the case of broken $U(1)$ symmetry, the massless case, generalized relaxation-time, and attractor solution.
|
0906.3711
|
Nelson Nunes
|
Jose J. Blanco-Pillado (Tufts U.), Duncan Buck, Edmund J. Copeland (U.
Nottingham), Marta Gomez-Reino (CERN), Nelson J. Nunes (U. Heidelberg)
|
Kahler Moduli Inflation Revisited
|
27 pages, 9 figures
|
JHEP 1001:081,2010
|
10.1007/JHEP01(2010)081
|
CERN-PH-TH/2009-088, HD-THEP-09-12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a detailed numerical analysis of inflationary solutions in Kahler
moduli of type IIB flux compactifications. We show that there are inflationary
solutions even when all the fields play an important role in the overall shape
of the scalar potential. Moreover, there exists a direction of attraction for
the inflationary trajectories that correspond to the constant volume direction.
This basin of attraction enables the system to have an island of stability in
the set of initial conditions. We provide explicit examples of these
trajectories, compute the corresponding tilt of the density perturbations power
spectrum and show that they provide a robust prediction of n_s approximately
0.96 for 60 e-folds of inflation.
|
[
{
"created": "Fri, 19 Jun 2009 16:52:01 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Blanco-Pillado",
"Jose J.",
"",
"Tufts U."
],
[
"Buck",
"Duncan",
"",
"U.\n Nottingham"
],
[
"Copeland",
"Edmund J.",
"",
"U.\n Nottingham"
],
[
"Gomez-Reino",
"Marta",
"",
"CERN"
],
[
"Nunes",
"Nelson J.",
"",
"U. Heidelberg"
]
] |
We perform a detailed numerical analysis of inflationary solutions in Kahler moduli of type IIB flux compactifications. We show that there are inflationary solutions even when all the fields play an important role in the overall shape of the scalar potential. Moreover, there exists a direction of attraction for the inflationary trajectories that correspond to the constant volume direction. This basin of attraction enables the system to have an island of stability in the set of initial conditions. We provide explicit examples of these trajectories, compute the corresponding tilt of the density perturbations power spectrum and show that they provide a robust prediction of n_s approximately 0.96 for 60 e-folds of inflation.
|
1907.02524
|
Imran Parvez Khan
|
Imran Parvez Khan
|
Black Hole Partition Function and Airy Equation
|
3 pages
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have used the Topological String Theory partition function in the scaling
limit, to relate the Black Hole partition function and Topological String
Theory partition function.
|
[
{
"created": "Wed, 3 Jul 2019 06:43:31 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jun 2021 07:12:33 GMT",
"version": "v2"
}
] |
2021-06-07
|
[
[
"Khan",
"Imran Parvez",
""
]
] |
We have used the Topological String Theory partition function in the scaling limit, to relate the Black Hole partition function and Topological String Theory partition function.
|
1608.02978
|
Matthew Mahowald
|
Matthew Mahowald
|
Open Gromov-Witten Invariants from the Augmentation Polynomial
|
18 pages, 2 figures
| null | null | null |
hep-th math.AG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A conjecture of Aganagic and Vafa relates the open Gromov-Witten theory of
$X=\mathcal{O}_{\mathbb{P}^{1}}(-1,-1)$ to the augmentation polynomial of
Legendrian contact homology. We describe how to use this conjecture to compute
genus zero, one boundary component open Gromov-Witten invariants for Lagrangian
submanifolds $L_{K}\subset X$ obtained from the conormal bundles of knots
$K\subset S^{3}$. This computation is then performed for two non-toric examples
(the figure-eight and three-twist knots). For $(r,s)$ torus knots, the open
Gromov-Witten invariants can also be computed using Atiyah-Bott localization.
Using this result for the unknot and the $(3,2)$ torus knot, we show that the
augmentation polynomial can be derived from these open Gromov-Witten
invariants.
|
[
{
"created": "Tue, 9 Aug 2016 20:23:21 GMT",
"version": "v1"
}
] |
2016-08-11
|
[
[
"Mahowald",
"Matthew",
""
]
] |
A conjecture of Aganagic and Vafa relates the open Gromov-Witten theory of $X=\mathcal{O}_{\mathbb{P}^{1}}(-1,-1)$ to the augmentation polynomial of Legendrian contact homology. We describe how to use this conjecture to compute genus zero, one boundary component open Gromov-Witten invariants for Lagrangian submanifolds $L_{K}\subset X$ obtained from the conormal bundles of knots $K\subset S^{3}$. This computation is then performed for two non-toric examples (the figure-eight and three-twist knots). For $(r,s)$ torus knots, the open Gromov-Witten invariants can also be computed using Atiyah-Bott localization. Using this result for the unknot and the $(3,2)$ torus knot, we show that the augmentation polynomial can be derived from these open Gromov-Witten invariants.
|
hep-th/9401149
|
Folkert Mueller-Hoissen
|
A. Dimakis and F. M"uller-Hoissen
|
Differential calculus and gauge theory on finite sets
|
24 pages, LaTeX, GOET-TP 33/93, to appear in J. Phys. A: Math. Gen
|
J.Phys. A27 (1994) 3159-3178
|
10.1088/0305-4470/27/9/028
| null |
hep-th
| null |
We develop differential calculus and gauge theory on a finite set G. An
elegant formulation is obtained when G is supplied with a group structure and
in particular for a cyclic group. Connes' two-point model (which is an
essential ingredient of his reformulation of the standard model of elementary
particle physics) is recovered in our approach. Reductions of the universal
differential calculus to `lower-dimensional' differential calculi are
considered. The `complete reduction' leads to a differential calculus on a
periodic lattice which is related to q-calculus.
|
[
{
"created": "Fri, 28 Jan 1994 15:47:25 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Dimakis",
"A.",
""
],
[
"M\"uller-Hoissen",
"F.",
""
]
] |
We develop differential calculus and gauge theory on a finite set G. An elegant formulation is obtained when G is supplied with a group structure and in particular for a cyclic group. Connes' two-point model (which is an essential ingredient of his reformulation of the standard model of elementary particle physics) is recovered in our approach. Reductions of the universal differential calculus to `lower-dimensional' differential calculi are considered. The `complete reduction' leads to a differential calculus on a periodic lattice which is related to q-calculus.
|
hep-th/0110165
|
Yao-Zhong Zhang
|
Xiang-Mao Ding, Mark. D. Gould and Yao-Zhong Zhang
|
Twisted Parafermions
|
RevTex 5 pages; Cosmetic changes, to appear in Phys.Lett.B
|
Phys.Lett. B530 (2002) 197-201
|
10.1016/S0370-2693(02)01319-9
| null |
hep-th cond-mat math-ph math.MP nlin.SI
| null |
A new type of nonlocal currents (quasi-particles), which we call twisted
parafermions, and its corresponding twisted $Z$-algebra are found. The system
consists of one spin-1 bosonic field and six nonlocal fields of fractional
spins. Jacobi-type identities for the twisted parafermions are derived, and a
new conformal field theory is constructed from these currents. As an
application, a parafermionic representation of the twisted affine current
algebra $A^{(2)}_2$ is given.
|
[
{
"created": "Thu, 18 Oct 2001 07:18:36 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Oct 2001 05:29:12 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Feb 2002 03:09:00 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Ding",
"Xiang-Mao",
""
],
[
"Gould",
"Mark. D.",
""
],
[
"Zhang",
"Yao-Zhong",
""
]
] |
A new type of nonlocal currents (quasi-particles), which we call twisted parafermions, and its corresponding twisted $Z$-algebra are found. The system consists of one spin-1 bosonic field and six nonlocal fields of fractional spins. Jacobi-type identities for the twisted parafermions are derived, and a new conformal field theory is constructed from these currents. As an application, a parafermionic representation of the twisted affine current algebra $A^{(2)}_2$ is given.
|
hep-th/9802197
|
Stefan Foerste
|
Stefan Forste
|
A note on inflationary string cosmology
|
11 pages, Latex, v2: Ref. 1 corrected, v3: two references added,
version to appear in Physics Letters B
|
Phys.Lett. B428 (1998) 44-50
|
10.1016/S0370-2693(98)00400-6
|
LMU-HEP-98-5
|
hep-th gr-qc
| null |
Cosmological solutions are obtained by continuation of black D-brane
solutions into the region between the horizons. It is investigated whether one
can find exponential expansion when probing the cosmology with D-branes. A
unique configuration exhibiting exponential expansion is discussed.
|
[
{
"created": "Fri, 27 Feb 1998 18:49:29 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 1998 13:19:03 GMT",
"version": "v2"
},
{
"created": "Mon, 6 Apr 1998 09:38:38 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Forste",
"Stefan",
""
]
] |
Cosmological solutions are obtained by continuation of black D-brane solutions into the region between the horizons. It is investigated whether one can find exponential expansion when probing the cosmology with D-branes. A unique configuration exhibiting exponential expansion is discussed.
|
hep-th/0307232
|
Satoshi Nagaoka
|
Satoshi Nagaoka
|
Fluctuation Analysis of the Non-abelian Born-Infeld Action in Background
Intersecting D-branes
|
16 pages, PTP style. reference added, minor corrections
|
Prog.Theor.Phys. 110 (2004) 1219-1234
|
10.1143/PTP.110.1219
|
UT-Komaba/03-13
|
hep-th
| null |
{We carry out a fluctuation analysis of the non-abelian Born-Infeld action up
to order F^6 in the presence of a background intersecting D-branes system. We
compare the mass spectrum which is obtained in our analysis to the spectrum
derived from the worldsheet analysis. The mass spectra completely agree with
each other. This result provides a strong support for the claim that the action
we analyze here, which was proposed in hep-th/0208044 by Koerber and Sevrin, is
the correct low energy effective action of string theory.
|
[
{
"created": "Wed, 23 Jul 2003 19:57:53 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jul 2003 09:36:38 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Aug 2003 07:09:26 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Dec 2003 06:20:26 GMT",
"version": "v4"
}
] |
2009-11-10
|
[
[
"Nagaoka",
"Satoshi",
""
]
] |
{We carry out a fluctuation analysis of the non-abelian Born-Infeld action up to order F^6 in the presence of a background intersecting D-branes system. We compare the mass spectrum which is obtained in our analysis to the spectrum derived from the worldsheet analysis. The mass spectra completely agree with each other. This result provides a strong support for the claim that the action we analyze here, which was proposed in hep-th/0208044 by Koerber and Sevrin, is the correct low energy effective action of string theory.
|
1603.03990
|
Peter M. Lavrov
|
Igor A. Batalin and Peter M. Lavrov
|
Quantum localization of Classical Mechanics
|
11 pages, v2: Section 2 extended, a reference added, v3: typos
corrected, v4: minor corrections, published version
|
Mod. Phys. Lett. A, Vol. 31, No. 22 (2016) 1650128
|
10.1142/S0217732316501285
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum localization of classical mechanics within the BRST-BFV and BV (or
field-antifield) quantization methods are studied. It is shown that a special
choice of gauge fixing functions (or BRST-BFV charge) together with the unitary
limit leads to Hamiltonian localization in the path integral of the BRST-BFV
formalism. In turn, we find that a special choice of gauge fixing functions
being proportional to extremals of an initial non-degenerate classical action
together with a very special solution of the classical master equation result
in Lagrangian localization in the partition function of the BV formalism.
|
[
{
"created": "Sun, 13 Mar 2016 03:56:43 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Mar 2016 02:05:17 GMT",
"version": "v2"
},
{
"created": "Tue, 17 May 2016 02:47:57 GMT",
"version": "v3"
},
{
"created": "Fri, 8 Jul 2016 06:55:26 GMT",
"version": "v4"
}
] |
2016-07-11
|
[
[
"Batalin",
"Igor A.",
""
],
[
"Lavrov",
"Peter M.",
""
]
] |
Quantum localization of classical mechanics within the BRST-BFV and BV (or field-antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit leads to Hamiltonian localization in the path integral of the BRST-BFV formalism. In turn, we find that a special choice of gauge fixing functions being proportional to extremals of an initial non-degenerate classical action together with a very special solution of the classical master equation result in Lagrangian localization in the partition function of the BV formalism.
|
hep-th/9811106
|
Sergei Frolov
|
G.Arutyunov and S.Frolov
|
Quadratic action for type IIB supergravity on $AdS_5\times S^5$
|
Latex, 16p, a misprint in eq.(5.14) is corrected
|
JHEP 9908 (1999) 024
|
10.1088/1126-6708/1999/08/024
|
UAHEP988
|
hep-th
| null |
The quadratic action for physical fields of type IIB supergravity model on
$AdS_5\times S^5$ is derived starting from the recently found covariant action.
All boundary terms that have to be added to the action to be used in the
AdS/CFT correspondence are determined.
|
[
{
"created": "Thu, 12 Nov 1998 23:51:05 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Jan 1999 01:50:45 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Jul 1999 09:58:06 GMT",
"version": "v3"
}
] |
2009-10-31
|
[
[
"Arutyunov",
"G.",
""
],
[
"Frolov",
"S.",
""
]
] |
The quadratic action for physical fields of type IIB supergravity model on $AdS_5\times S^5$ is derived starting from the recently found covariant action. All boundary terms that have to be added to the action to be used in the AdS/CFT correspondence are determined.
|
hep-th/0412083
|
Ian Vernon
|
Ian R. Vernon, David Jennings
|
Graviton Emission into Non-Z_2 Symmetric Brane World Spacetimes
|
24 pages, 12 figures; notation clarified and one reference added
|
JCAP 0507 (2005) 011
|
10.1088/1475-7516/2005/07/011
|
DCPT-04/41
|
hep-th gr-qc hep-ph
| null |
The equations for the evolution of a homogeneous brane world that emits
gravitons at early times, and into a non-Z_2 symmetric bulk, are derived using
an AdS-Vaidya spacetime approximation. The behaviour of the black hole mass
parameters either side of the brane is analysed, and it is found that in
general graviton emission leads to a decrease in the non-Z_2 symmetry. However,
the behaviour of the dark radiation term in the Friedmann equation is more
complex: it is shown that this term can increase or decrease due to the non-Z_2
symmetry, and can become negative in some cases, leading to H=0 and the brane
universe collapsing. Constraints on the initial (nonzero) sizes of the mass
parameters are therefore derived.
|
[
{
"created": "Wed, 8 Dec 2004 20:05:05 GMT",
"version": "v1"
},
{
"created": "Wed, 25 May 2005 18:11:40 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Vernon",
"Ian R.",
""
],
[
"Jennings",
"David",
""
]
] |
The equations for the evolution of a homogeneous brane world that emits gravitons at early times, and into a non-Z_2 symmetric bulk, are derived using an AdS-Vaidya spacetime approximation. The behaviour of the black hole mass parameters either side of the brane is analysed, and it is found that in general graviton emission leads to a decrease in the non-Z_2 symmetry. However, the behaviour of the dark radiation term in the Friedmann equation is more complex: it is shown that this term can increase or decrease due to the non-Z_2 symmetry, and can become negative in some cases, leading to H=0 and the brane universe collapsing. Constraints on the initial (nonzero) sizes of the mass parameters are therefore derived.
|
1011.6357
|
Ishwaree Neupane
|
Ishwaree P. Neupane
|
De Sitter brane-world, localization of gravity, and the cosmological
constant
|
10 pages, 5 figures
|
Phys.Rev.D83:086004,2011
|
10.1103/PhysRevD.83.086004
|
UOC-TP 014/10
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional
de Sitter spacetime (dS5) give rise to a finite 4D Planck mass similar to that
in Randall-Sundrum (RS) brane-world models in AdS5 spacetime. Yet there arise a
few important differences as compared to the results with a flat 3-brane or 4D
Minkowski spacetime. For example, the mass reduction formula (MRF)
$M_{Pl}^2=M_{5}^3 \ell_{AdS}$ as well as the relationship $M_{Pl}^2=
M_{Pl(4+n)}^{n+2} L^{n}$ (with $L$ being the average size or the radius of the
$n$ extra dimensions) expected in models of product-space (or Kaluza-Klein)
compactifications get modified in cosmological backgrounds. In an expanding
universe, a physically relevant MRF encodes information upon the
four-dimensional Hubble expansion parameter, in addition to the length and mass
parameters $L$, $M_{Pl}$ and $M_{Pl (4+n)}$. If a bulk cosmological constant is
present in the solution, then the reduction formula is further modified. With
these new insights, we show that the localization of a massless 4D graviton as
well as the mass hierarchy between $M_{Pl}$ and $M_{Pl (4+n)}$ can be explained
in cosmological brane-world models. A notable advantage of having a 5D de
Sitter bulk is that in this case the zero-mass wavefunction is normalizable,
which is not necessarily the case if the bulk spacetime is anti de Sitter. In
spacetime dimensions $D\ge 7$, however, the bulk cosmological constant
$\Lambda_b$ can take either sign ($\Lambda_b <0$, $=0$, or $>0$). The D=6 case
is rather inconclusive, in which case $\Lambda_b$ may be introduced together
with 2-form gauge field (or flux).
|
[
{
"created": "Mon, 29 Nov 2010 20:23:07 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2011 06:34:15 GMT",
"version": "v2"
}
] |
2011-04-22
|
[
[
"Neupane",
"Ishwaree P.",
""
]
] |
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional de Sitter spacetime (dS5) give rise to a finite 4D Planck mass similar to that in Randall-Sundrum (RS) brane-world models in AdS5 spacetime. Yet there arise a few important differences as compared to the results with a flat 3-brane or 4D Minkowski spacetime. For example, the mass reduction formula (MRF) $M_{Pl}^2=M_{5}^3 \ell_{AdS}$ as well as the relationship $M_{Pl}^2= M_{Pl(4+n)}^{n+2} L^{n}$ (with $L$ being the average size or the radius of the $n$ extra dimensions) expected in models of product-space (or Kaluza-Klein) compactifications get modified in cosmological backgrounds. In an expanding universe, a physically relevant MRF encodes information upon the four-dimensional Hubble expansion parameter, in addition to the length and mass parameters $L$, $M_{Pl}$ and $M_{Pl (4+n)}$. If a bulk cosmological constant is present in the solution, then the reduction formula is further modified. With these new insights, we show that the localization of a massless 4D graviton as well as the mass hierarchy between $M_{Pl}$ and $M_{Pl (4+n)}$ can be explained in cosmological brane-world models. A notable advantage of having a 5D de Sitter bulk is that in this case the zero-mass wavefunction is normalizable, which is not necessarily the case if the bulk spacetime is anti de Sitter. In spacetime dimensions $D\ge 7$, however, the bulk cosmological constant $\Lambda_b$ can take either sign ($\Lambda_b <0$, $=0$, or $>0$). The D=6 case is rather inconclusive, in which case $\Lambda_b$ may be introduced together with 2-form gauge field (or flux).
|
2303.12103
|
Tom Rudelius
|
Tom Rudelius
|
Revisiting the Refined Distance Conjecture
|
v2: 19 pages, 3 figures, matches publication version
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
The Distance Conjecture of Ooguri and Vafa holds that any infinite-distance
limit in the moduli space of a quantum gravity theory must be accompanied by a
tower of exponentially light particles, which places tight constraints on the
low-energy effective field theories in these limits. One attempt to extend
these constraints to the interior of moduli space is the refined Distance
Conjecture, which holds that the towers of light particles predicted by the
Distance Conjecture must appear any time a modulus makes a super-Planckian
excursion in moduli space. In this note, however, we point out that a tower
which satisfies the Distance Conjecture in an infinite-distance limit of moduli
space may be parametrically heavier than the Planck scale for an arbitrarily
long geodesic distance. This means that the refined Distance Conjecture, in its
most naive form, does not place meaningful constraints on low-energy effective
field theory. This motivates alternative refinements of the Distance
Conjecture, which place an absolute upper bound on the tower mass scale in the
interior of moduli space. We explore two possibilities, providing evidence for
them and briefly discussing their implications.
|
[
{
"created": "Tue, 21 Mar 2023 18:00:14 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Apr 2024 13:21:10 GMT",
"version": "v2"
}
] |
2024-04-02
|
[
[
"Rudelius",
"Tom",
""
]
] |
The Distance Conjecture of Ooguri and Vafa holds that any infinite-distance limit in the moduli space of a quantum gravity theory must be accompanied by a tower of exponentially light particles, which places tight constraints on the low-energy effective field theories in these limits. One attempt to extend these constraints to the interior of moduli space is the refined Distance Conjecture, which holds that the towers of light particles predicted by the Distance Conjecture must appear any time a modulus makes a super-Planckian excursion in moduli space. In this note, however, we point out that a tower which satisfies the Distance Conjecture in an infinite-distance limit of moduli space may be parametrically heavier than the Planck scale for an arbitrarily long geodesic distance. This means that the refined Distance Conjecture, in its most naive form, does not place meaningful constraints on low-energy effective field theory. This motivates alternative refinements of the Distance Conjecture, which place an absolute upper bound on the tower mass scale in the interior of moduli space. We explore two possibilities, providing evidence for them and briefly discussing their implications.
|
hep-th/9812247
|
Lukyanov Sergei
|
V. Bazhanov, S. Lukyanov, A. Zamolodchikov
|
Spectral determinants for Schroedinger equation and Q-operators of
Conformal Field Theory
|
9 pages, harvmac.tex, typos corrected
|
J.Stat.Phys.102:567-576,2001
|
10.1023/A:1004838616921
|
RU-99-01
|
hep-th cond-mat math.QA
| null |
Relation between the vacuum eigenvalues of CFT Q-operators and spectral
determinants of one-dimensional Schroedinger operator with homogeneous
potential, recently conjectured by Dorey and Tateo for special value of
Virasoro vacuum parameter p, is proven to hold, with suitable modification of
the Schroedinger operator, for all values of p.
|
[
{
"created": "Thu, 31 Dec 1998 03:13:14 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jan 1999 20:19:33 GMT",
"version": "v2"
}
] |
2011-02-11
|
[
[
"Bazhanov",
"V.",
""
],
[
"Lukyanov",
"S.",
""
],
[
"Zamolodchikov",
"A.",
""
]
] |
Relation between the vacuum eigenvalues of CFT Q-operators and spectral determinants of one-dimensional Schroedinger operator with homogeneous potential, recently conjectured by Dorey and Tateo for special value of Virasoro vacuum parameter p, is proven to hold, with suitable modification of the Schroedinger operator, for all values of p.
|
hep-th/0407181
|
Gabriele Honecker
|
Gabriele Honecker
|
Chiral N=1 4d Orientifolds with D-branes at Angles
|
Invited brief review, 16 pages, 2 figures; references added
|
Mod.Phys.Lett. A19 (2004) 1863-1879
|
10.1142/S0217732304015087
|
FT-UAM 04-15, IFT-UAM/CSIC 04-40
|
hep-th
| null |
D6-branes intersecting at angles allow for phenomenologically appealing
constructions of four dimensional string theory vacua. While it is
straightforward to obtain non-supersymmetric realizations of the standard
model, supersymmetric and stable models with three generations and no exotic
chiral matter require more involved orbifold constructions. The T^6/(Z_4 x Z_2
x OmegaR) case is discussed in detail. Other orbifolds including fractional
D6-branes are treated briefly.
|
[
{
"created": "Wed, 21 Jul 2004 08:22:14 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Jul 2004 12:33:33 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Honecker",
"Gabriele",
""
]
] |
D6-branes intersecting at angles allow for phenomenologically appealing constructions of four dimensional string theory vacua. While it is straightforward to obtain non-supersymmetric realizations of the standard model, supersymmetric and stable models with three generations and no exotic chiral matter require more involved orbifold constructions. The T^6/(Z_4 x Z_2 x OmegaR) case is discussed in detail. Other orbifolds including fractional D6-branes are treated briefly.
|
1905.03775
|
Yusuke Kimura
|
Yusuke Kimura
|
Discrete gauge groups in certain F-theory models in six dimensions
|
19 pages, minor changes and minor typos corrected
|
JHEP 07(2019)027
|
10.1007/JHEP07(2019)027
|
KEK-TH-2130
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct six-dimensional (6D) F-theory models in which discrete
$\mathbb{Z}_5, \mathbb{Z}_4, \mathbb{Z}_3,$ and $\mathbb{Z}_2$ gauge symmetries
arise. We demonstrate that a special family of "Fano 3-folds" is a useful tool
for constructing the aforementioned models. The geometry of Fano 3-folds in the
constructions of models can be useful for understanding discrete gauge
symmetries in 6D F-theory compactifications. We argue that the constructions of
the aforementioned models are applicable to Calabi-Yau genus-one fibrations
over any base space, except models with a discrete $\mathbb{Z}_5$ gauge group.
We construct 6D F-theory models with a discrete $\mathbb{Z}_5$ gauge group over
the del Pezzo surfaces, as well as over $\mathbb{P}^1\times\mathbb{P}^1$ and
$\mathbb{P}^2$. We also discuss some applications to four-dimensional F-theory
models with discrete gauge symmetries.
|
[
{
"created": "Thu, 9 May 2019 17:58:13 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jun 2019 16:31:15 GMT",
"version": "v2"
}
] |
2019-07-08
|
[
[
"Kimura",
"Yusuke",
""
]
] |
We construct six-dimensional (6D) F-theory models in which discrete $\mathbb{Z}_5, \mathbb{Z}_4, \mathbb{Z}_3,$ and $\mathbb{Z}_2$ gauge symmetries arise. We demonstrate that a special family of "Fano 3-folds" is a useful tool for constructing the aforementioned models. The geometry of Fano 3-folds in the constructions of models can be useful for understanding discrete gauge symmetries in 6D F-theory compactifications. We argue that the constructions of the aforementioned models are applicable to Calabi-Yau genus-one fibrations over any base space, except models with a discrete $\mathbb{Z}_5$ gauge group. We construct 6D F-theory models with a discrete $\mathbb{Z}_5$ gauge group over the del Pezzo surfaces, as well as over $\mathbb{P}^1\times\mathbb{P}^1$ and $\mathbb{P}^2$. We also discuss some applications to four-dimensional F-theory models with discrete gauge symmetries.
|
1010.1773
|
Alexey Koshelev
|
Federico Galli, Alexey S. Koshelev
|
Multi-scalar field cosmology from SFT: an exactly solvable approximation
|
Extended version of the proceedings of the Bogolyubov-2009 conference
|
Theor.Math.Phys.164:1169-1175(2010); Teor.Mat.Fiz.164:401-409,2010
|
10.1007/s11232-010-0096-1
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the appearance of multiple scalar fields in SFT inspired
non-local models with a single scalar field at late times. In this regime all
the scalar fields are free. This system minimally coupled to gravity can be
analyzed approximately or numerically. The main result of this note is the
introduction of an exactly solvable model which obeys an exact solution in the
cosmological context for the Friedmann equations and that reproduces the
behavior expected from SFT in the asymptotic regime. Different applications of
such a potential to multi-field cosmological models are discussed.
|
[
{
"created": "Fri, 8 Oct 2010 19:57:15 GMT",
"version": "v1"
}
] |
2011-01-24
|
[
[
"Galli",
"Federico",
""
],
[
"Koshelev",
"Alexey S.",
""
]
] |
We consider the appearance of multiple scalar fields in SFT inspired non-local models with a single scalar field at late times. In this regime all the scalar fields are free. This system minimally coupled to gravity can be analyzed approximately or numerically. The main result of this note is the introduction of an exactly solvable model which obeys an exact solution in the cosmological context for the Friedmann equations and that reproduces the behavior expected from SFT in the asymptotic regime. Different applications of such a potential to multi-field cosmological models are discussed.
|
hep-th/9801104
|
Neil Lambert
|
N.D. Lambert and P.C. West
|
N=2 Superfields and the M-Fivebrane
|
14 pages phyzzx. Added paragraph on the existence of a
six-dimensional action. To appear in Phys. Lett. B
|
Phys.Lett. B424 (1998) 281-287
|
10.1016/S0370-2693(98)00243-3
|
KCL-TH-98-01
|
hep-th
| null |
In this paper we provide a manifestly N=2 supersymmetric formulation of the
M-fivebrane in the presence of threebrane solitons. The superspace form of
four-dimensional effective equations for the threebranes are readily obtained
and yield the complete Seiberg-Witten equations of motion for N=2
super-Yang-Mills. A particularly simple derivation is given by introducing an
N=2 superfield generalisation of the Seiberg-Witten differential.
|
[
{
"created": "Thu, 15 Jan 1998 15:21:53 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Feb 1998 16:42:42 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Lambert",
"N. D.",
""
],
[
"West",
"P. C.",
""
]
] |
In this paper we provide a manifestly N=2 supersymmetric formulation of the M-fivebrane in the presence of threebrane solitons. The superspace form of four-dimensional effective equations for the threebranes are readily obtained and yield the complete Seiberg-Witten equations of motion for N=2 super-Yang-Mills. A particularly simple derivation is given by introducing an N=2 superfield generalisation of the Seiberg-Witten differential.
|
hep-th/9307142
| null |
R. Loll, J.M. Mour\~ao and J.N. Tavares
|
Complexification of Gauge Theories
|
25pp., LaTeX, Syracuse SU-GP-93/6-2, Lisbon DF/IST 6.93
|
J.Geom.Phys. 18 (1996) 1-24
|
10.1016/0393-0440(94)00053-0
| null |
hep-th gr-qc
| null |
For the case of a first-class constrained system with an equivariant momentum
map, we study the conditions under which the double process of reducing to the
constraint surface and dividing out by the group of gauge transformations $G$
is equivalent to the single process of dividing out the initial phase space by
the complexification $G_C$ of $G$. For the particular case of a phase space
action that is the lift of a configuration space action, conditions are found
under which, in finite dimensions, the physical phase space of a gauge system
with first-class constraints is diffeomorphic to a manifold imbedded in the
physical configuration space of the complexified gauge system. Similar
conditions are shown to hold in the infinite-dimensional example of Yang-Mills
theories. As a physical application we discuss the adequateness of using
holomorphic Wilson loop variables as (generalized) global coordinates on the
physical phase space of Yang-Mills theory.
|
[
{
"created": "Thu, 22 Jul 1993 23:27:00 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Loll",
"R.",
""
],
[
"Mourão",
"J. M.",
""
],
[
"Tavares",
"J. N.",
""
]
] |
For the case of a first-class constrained system with an equivariant momentum map, we study the conditions under which the double process of reducing to the constraint surface and dividing out by the group of gauge transformations $G$ is equivalent to the single process of dividing out the initial phase space by the complexification $G_C$ of $G$. For the particular case of a phase space action that is the lift of a configuration space action, conditions are found under which, in finite dimensions, the physical phase space of a gauge system with first-class constraints is diffeomorphic to a manifold imbedded in the physical configuration space of the complexified gauge system. Similar conditions are shown to hold in the infinite-dimensional example of Yang-Mills theories. As a physical application we discuss the adequateness of using holomorphic Wilson loop variables as (generalized) global coordinates on the physical phase space of Yang-Mills theory.
|
1010.2758
|
Michael Gutperle
|
Marco Chiodaroli, Michael Gutperle, Ling-Yan Hung and Darya Krym
|
String Junctions and Holographic Interfaces
|
54 pages, 6 figures, pdf-LaTeX, v2: minor changes
|
Phys.Rev.D83:026003,2011
|
10.1103/PhysRevD.83.026003
|
IGC-10/10-1, KUL-TF-10/07
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study half-BPS type IIB supergravity solutions with multiple
$AdS_3\times S^3\times M_4$ asymptotic regions, where $M_4$ is either $T^4$ or
$K_3$. These solutions were first constructed in [1] and have geometries given
by the warped product of $AdS_2 \times S^2 \times M_4 $ over $\Sigma$, where
$\Sigma$ is a Riemann surface. We show that the holographic boundary has the
structure of a star graph, i.e. $n$ half-lines joined at a point. The attractor
mechanism and the relation of the solutions to junctions of self-dual strings
in six-dimensional supergravity are discussed. The solutions of [1] are
constructed introducing two meromorphic and two harmonic functions defined on
$\Sigma$. We focus our analysis on solutions corresponding to junctions of
three different conformal field theories and show that the conditions for
having a solution charged only under Ramond-Ramond three-form fields reduce to
relations involving the positions of the poles and the residues of the relevant
harmonic and meromorphic functions. The degeneration limit in which some of the
poles collide is analyzed in detail. Finally, we calculate the holographic
boundary entropy for a junction of three CFTs and obtain a simple expression in
terms of poles and residues.
|
[
{
"created": "Wed, 13 Oct 2010 20:03:09 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Nov 2010 19:23:33 GMT",
"version": "v2"
}
] |
2011-02-25
|
[
[
"Chiodaroli",
"Marco",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Hung",
"Ling-Yan",
""
],
[
"Krym",
"Darya",
""
]
] |
In this paper we study half-BPS type IIB supergravity solutions with multiple $AdS_3\times S^3\times M_4$ asymptotic regions, where $M_4$ is either $T^4$ or $K_3$. These solutions were first constructed in [1] and have geometries given by the warped product of $AdS_2 \times S^2 \times M_4 $ over $\Sigma$, where $\Sigma$ is a Riemann surface. We show that the holographic boundary has the structure of a star graph, i.e. $n$ half-lines joined at a point. The attractor mechanism and the relation of the solutions to junctions of self-dual strings in six-dimensional supergravity are discussed. The solutions of [1] are constructed introducing two meromorphic and two harmonic functions defined on $\Sigma$. We focus our analysis on solutions corresponding to junctions of three different conformal field theories and show that the conditions for having a solution charged only under Ramond-Ramond three-form fields reduce to relations involving the positions of the poles and the residues of the relevant harmonic and meromorphic functions. The degeneration limit in which some of the poles collide is analyzed in detail. Finally, we calculate the holographic boundary entropy for a junction of three CFTs and obtain a simple expression in terms of poles and residues.
|
1705.06424
|
Vladimir A. Fateev
|
Vladimir A. Fateev
|
Integrable Deformations of Sine-Liouville Conformal Field Theory and
Duality
| null |
SIGMA 13 (2017), 080, 22 pages
|
10.3842/SIGMA.2017.080
| null |
hep-th
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We study integrable deformations of sine-Liouville conformal field theory.
Every integrable perturbation of this model is related to the series of quantum
integrals of motion (hierarchy). We construct the factorized scattering
matrices for different integrable perturbed conformal field theories. The
perturbation theory, Bethe ansatz technique, renormalization group and methods
of perturbed conformal field theory are applied to show that all integrable
deformations of sine-Liouville model possess non-trivial duality properties.
|
[
{
"created": "Thu, 18 May 2017 06:08:09 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Oct 2017 04:15:08 GMT",
"version": "v2"
}
] |
2017-10-16
|
[
[
"Fateev",
"Vladimir A.",
""
]
] |
We study integrable deformations of sine-Liouville conformal field theory. Every integrable perturbation of this model is related to the series of quantum integrals of motion (hierarchy). We construct the factorized scattering matrices for different integrable perturbed conformal field theories. The perturbation theory, Bethe ansatz technique, renormalization group and methods of perturbed conformal field theory are applied to show that all integrable deformations of sine-Liouville model possess non-trivial duality properties.
|
1110.6911
|
Grigory Bednik
|
Grigory Bednik
|
Fermionic zero modes in the vortex field in arbitrary dimensions and
index of Dirac operator with Majorana-like interaction
|
30 pages
| null |
10.1103/PhysRevD.85.065015
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we consider fermionic zero modes in the external scalar and
electromagnetic field forming the vortex on a sphere. We find the
correspondence between the equations for the fermions in different dimensions,
find their explicit expressions through the vortex fields in case of massless
fermions, asymptotics near the poles in case of massive fermions and check the
number of the solutions by proving index theorem for the fermions on a sphere.
As a part of deriving the index, we write a detailed calculation of the Green
function of the Heat equation.
|
[
{
"created": "Mon, 31 Oct 2011 19:28:13 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2011 17:46:55 GMT",
"version": "v2"
}
] |
2013-05-30
|
[
[
"Bednik",
"Grigory",
""
]
] |
In this work we consider fermionic zero modes in the external scalar and electromagnetic field forming the vortex on a sphere. We find the correspondence between the equations for the fermions in different dimensions, find their explicit expressions through the vortex fields in case of massless fermions, asymptotics near the poles in case of massive fermions and check the number of the solutions by proving index theorem for the fermions on a sphere. As a part of deriving the index, we write a detailed calculation of the Green function of the Heat equation.
|
hep-th/0010046
|
Hugo Compean
|
Hugo Garcia-Compean, Oscar Loaiza-Brito
|
Topics on Strings, Branes and Calabi-Yau Compactifications
|
49+1 pages, harvmac file, no figures
|
AIP Conf.Proc.562:86-127,2001
|
10.1063/1.1374859
|
CINVESTAV-FIS 33/00
|
hep-th
| null |
Basics of some topics on perturbative and non-perturbative string theory are
reviewed. After a mathematical survey of the Standard Model of particle physics
and GUTs, the bosonic string kinematics for the free case and with interaction
is described. The effective action of the bosonic string and the spectrum is
also discussed. Five perturbative superstring theories and their spectra is
briefly outlined. Calabi-Yau three-fold compactifications of heterotic strings
and their relation to some four-dimensional physics are given. T-duality in
closed and open strings are surveyed. D-brane definition is provided and some
of their properties and applications to brane boxes configurations, in
particular to the cube model are discussed. Finally, non-perturbative issues
like S-duality, M-theory, F-theory and basics of their non-perturbative
Calabi-Yau compactifications are considered.
|
[
{
"created": "Fri, 6 Oct 2000 16:10:34 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Garcia-Compean",
"Hugo",
""
],
[
"Loaiza-Brito",
"Oscar",
""
]
] |
Basics of some topics on perturbative and non-perturbative string theory are reviewed. After a mathematical survey of the Standard Model of particle physics and GUTs, the bosonic string kinematics for the free case and with interaction is described. The effective action of the bosonic string and the spectrum is also discussed. Five perturbative superstring theories and their spectra is briefly outlined. Calabi-Yau three-fold compactifications of heterotic strings and their relation to some four-dimensional physics are given. T-duality in closed and open strings are surveyed. D-brane definition is provided and some of their properties and applications to brane boxes configurations, in particular to the cube model are discussed. Finally, non-perturbative issues like S-duality, M-theory, F-theory and basics of their non-perturbative Calabi-Yau compactifications are considered.
|
1907.09570
|
Matteo Cardella Dr.
|
Matteo A. Cardella
|
Derivation of the two Schwarzians effective action for the
Sachdev-Ye-Kitaev spectral form factor
|
28 pages, 1 figure, v4: Refinements in the argument leading to the
effective action. References added
| null | null | null |
hep-th cond-mat.stat-mech cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Sachdev-Ye-Kitaev model spectral form factor exhibits absence of
information loss in the form of a ramp and a plateau, that are typical of
random matrix theory. In a large $N$ collective fields description, the ramp
was reproduced by Saad, Shenker and Stanford \cite{Saad:2018bqo}, by replica
symmetry breaking saddles for a connected component of the analytically
continued to real times thermal partition function two point function. We
derive a two sides Schwarzians effective action for fluctuations around the
ramp critical saddles, by adapting to the two replica system a method by Kitaev
and Suh \cite{Kitaev:2017awl} for studying non linear responses to the
conformal breaking kinetic operator in regular SYK. Our result confirms
\cite{Saad:2018bqo}, where the form of the action was obtained by assuming
locality.
|
[
{
"created": "Mon, 22 Jul 2019 20:52:56 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Aug 2019 17:13:11 GMT",
"version": "v2"
},
{
"created": "Thu, 21 Nov 2019 18:02:32 GMT",
"version": "v3"
},
{
"created": "Mon, 1 Mar 2021 15:02:34 GMT",
"version": "v4"
}
] |
2021-03-02
|
[
[
"Cardella",
"Matteo A.",
""
]
] |
The Sachdev-Ye-Kitaev model spectral form factor exhibits absence of information loss in the form of a ramp and a plateau, that are typical of random matrix theory. In a large $N$ collective fields description, the ramp was reproduced by Saad, Shenker and Stanford \cite{Saad:2018bqo}, by replica symmetry breaking saddles for a connected component of the analytically continued to real times thermal partition function two point function. We derive a two sides Schwarzians effective action for fluctuations around the ramp critical saddles, by adapting to the two replica system a method by Kitaev and Suh \cite{Kitaev:2017awl} for studying non linear responses to the conformal breaking kinetic operator in regular SYK. Our result confirms \cite{Saad:2018bqo}, where the form of the action was obtained by assuming locality.
|
hep-th/0508080
|
Ofer Aharony
|
Ofer Aharony, Yaron E. Antebi, Micha Berkooz
|
Open String Moduli in KKLT Compactifications
|
harvmac, 22 pages
|
Phys.Rev.D72:106009,2005
|
10.1103/PhysRevD.72.106009
|
WIS/20/05-AUG-DPP
|
hep-th
| null |
In the Kachru-Kallosh-Linde-Trivedi (KKLT) de-Sitter construction one
introduces an anti-D3-brane that breaks the supersymmetry and leads to a
positive cosmological constant. In this paper we investigate the open string
moduli associated with this anti-D3-brane, corresponding to its position on the
3-sphere at the tip of the deformed conifold. We show that in the KKLT
construction these moduli are very light, and we suggest a possible way to give
these moduli a large mass by putting orientifold planes in the KKLT "throat".
|
[
{
"created": "Thu, 11 Aug 2005 09:13:50 GMT",
"version": "v1"
}
] |
2009-09-29
|
[
[
"Aharony",
"Ofer",
""
],
[
"Antebi",
"Yaron E.",
""
],
[
"Berkooz",
"Micha",
""
]
] |
In the Kachru-Kallosh-Linde-Trivedi (KKLT) de-Sitter construction one introduces an anti-D3-brane that breaks the supersymmetry and leads to a positive cosmological constant. In this paper we investigate the open string moduli associated with this anti-D3-brane, corresponding to its position on the 3-sphere at the tip of the deformed conifold. We show that in the KKLT construction these moduli are very light, and we suggest a possible way to give these moduli a large mass by putting orientifold planes in the KKLT "throat".
|
1005.3035
|
Mark Van Raamsdonk
|
Mark Van Raamsdonk
|
Building up spacetime with quantum entanglement
|
Gravity Research Foundation essay, 7 pages, LaTeX, 5 figures
|
Gen.Rel.Grav.42:2323-2329,2010; Int.J.Mod.Phys.D19:2429-2435,2010
|
10.1007/s10714-010-1034-0 10.1142/S0218271810018529
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this essay, we argue that the emergence of classically connected
spacetimes is intimately related to the quantum entanglement of degrees of
freedom in a non-perturbative description of quantum gravity. Disentangling the
degrees of freedom associated with two regions of spacetime results in these
regions pulling apart and pinching off from each other in a way that can be
quantified by standard measures of entanglement.
|
[
{
"created": "Mon, 17 May 2010 20:17:32 GMT",
"version": "v1"
}
] |
2011-01-25
|
[
[
"Van Raamsdonk",
"Mark",
""
]
] |
In this essay, we argue that the emergence of classically connected spacetimes is intimately related to the quantum entanglement of degrees of freedom in a non-perturbative description of quantum gravity. Disentangling the degrees of freedom associated with two regions of spacetime results in these regions pulling apart and pinching off from each other in a way that can be quantified by standard measures of entanglement.
|
1305.4919
|
Michal P. Heller
|
Jorge Casalderrey-Solana, Michal P. Heller, David Mateos and Wilke van
der Schee
|
From full stopping to transparency in a holographic model of heavy ion
collisions
|
6 pages, 6 figures; v2: two references and a footnote [4] added,
matches published version
|
Phys. Rev. Lett. 111, 181601 (2013)
|
10.1103/PhysRevLett.111.181601
| null |
hep-th gr-qc hep-ph nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically simulate planar shock wave collisions in anti-de Sitter space
as a model for heavy ion collisions of large nuclei. We uncover a cross-over
between two different dynamical regimes as a function of the collision energy.
At low energies the shocks first stop and then explode in a manner
approximately described by hydrodynamics, in close similarity with the Landau
model. At high energies the receding fragments move outwards at the speed of
light, with a region of negative energy density and negative longitudinal
pressure trailing behind them. The rapidity distribution of the energy density
at late times around mid-rapidity is not approximately boost-invariant but
Gaussian, albeit with a width that increases with the collision energy.
|
[
{
"created": "Tue, 21 May 2013 19:05:54 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2013 02:07:32 GMT",
"version": "v2"
}
] |
2013-11-01
|
[
[
"Casalderrey-Solana",
"Jorge",
""
],
[
"Heller",
"Michal P.",
""
],
[
"Mateos",
"David",
""
],
[
"van der Schee",
"Wilke",
""
]
] |
We numerically simulate planar shock wave collisions in anti-de Sitter space as a model for heavy ion collisions of large nuclei. We uncover a cross-over between two different dynamical regimes as a function of the collision energy. At low energies the shocks first stop and then explode in a manner approximately described by hydrodynamics, in close similarity with the Landau model. At high energies the receding fragments move outwards at the speed of light, with a region of negative energy density and negative longitudinal pressure trailing behind them. The rapidity distribution of the energy density at late times around mid-rapidity is not approximately boost-invariant but Gaussian, albeit with a width that increases with the collision energy.
|
hep-th/0506091
|
Hyun Seok Yang
|
Bum-Hoon Lee, Jong-won Lee, Chanyong Park and Hyun Seok Yang
|
More on supersymmetric D-branes in type IIB plane wave background
|
22 pages, JHEP style
|
JHEP 0601:015,2006
|
10.1088/1126-6708/2006/01/015
|
HU-EP-05/25, SOGANG-HEP 314/05
|
hep-th
| null |
We extend the study on D-branes in the type IIB plane wave background to less
supersymmetric configurations. We show that many new supersymmetric D-branes
can be found by turning on electric as well as magnetic background fluxes, or
constantly boosting D-branes.
|
[
{
"created": "Mon, 13 Jun 2005 19:44:36 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Lee",
"Bum-Hoon",
""
],
[
"Lee",
"Jong-won",
""
],
[
"Park",
"Chanyong",
""
],
[
"Yang",
"Hyun Seok",
""
]
] |
We extend the study on D-branes in the type IIB plane wave background to less supersymmetric configurations. We show that many new supersymmetric D-branes can be found by turning on electric as well as magnetic background fluxes, or constantly boosting D-branes.
|
1203.3425
|
Hajar Ebrahim
|
Mohammad Ali-Akbari, Hajar Ebrahim
|
Meson Thermalization in Various Dimensions
|
26 pages, 2 figures
| null |
10.1007/JHEP04(2012)145
|
IPM/P-2012/010
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In gauge/gravity duality framework the thermalization of mesons in strongly
coupled (p+1)-dimensional gauge theories is studied for a general Dp-Dq system,
q>=p, using the flavour Dq-brane as a probe. Thermalization corresponds to the
horizon formation on the flavour Dq-brane. We calculate the thermalization
time-scale due to a time-dependent change in the baryon number chemical
potential, baryon injection in the field theory. We observe that for such a
general system it has a universal behaviour depending only on the t'Hooft
coupling constant and the two parameters which describe how we inject baryons
into the system. We show that this universal behaviour is independent of the
details of the theory whether it is conformal and/or supersymmetric.
|
[
{
"created": "Thu, 15 Mar 2012 17:51:32 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Apr 2012 16:51:56 GMT",
"version": "v2"
}
] |
2015-06-04
|
[
[
"Ali-Akbari",
"Mohammad",
""
],
[
"Ebrahim",
"Hajar",
""
]
] |
In gauge/gravity duality framework the thermalization of mesons in strongly coupled (p+1)-dimensional gauge theories is studied for a general Dp-Dq system, q>=p, using the flavour Dq-brane as a probe. Thermalization corresponds to the horizon formation on the flavour Dq-brane. We calculate the thermalization time-scale due to a time-dependent change in the baryon number chemical potential, baryon injection in the field theory. We observe that for such a general system it has a universal behaviour depending only on the t'Hooft coupling constant and the two parameters which describe how we inject baryons into the system. We show that this universal behaviour is independent of the details of the theory whether it is conformal and/or supersymmetric.
|
hep-th/9701013
|
Christoph Adam
|
C. Adam
|
Scattering processes in the massive Schwinger model
|
25 pages, RevTex, 14 ps-figures, needed macro: psbox.tex
|
Phys.Rev.D55:6299-6312,1997
|
10.1103/PhysRevD.55.6299
|
MIT-CTP-2602
|
hep-th
| null |
We derive the (matrix-valued) Feynman rules of the mass perturbation theory
and use it for the resummation of the $n$-point functions with the help of the
Dyson-Schwinger equations. We use these results for a short review of the
complete spectrum of the model and for a discussion of scattering processes. We
find that in scattering cross sections all the resonances and higher particle
production thresholds of the model are properly taken into account by our
resummed mass perturbation theory, without the need of further approximations.
|
[
{
"created": "Mon, 6 Jan 1997 17:12:57 GMT",
"version": "v1"
}
] |
2009-07-24
|
[
[
"Adam",
"C.",
""
]
] |
We derive the (matrix-valued) Feynman rules of the mass perturbation theory and use it for the resummation of the $n$-point functions with the help of the Dyson-Schwinger equations. We use these results for a short review of the complete spectrum of the model and for a discussion of scattering processes. We find that in scattering cross sections all the resonances and higher particle production thresholds of the model are properly taken into account by our resummed mass perturbation theory, without the need of further approximations.
|
1306.0622
|
Douglas Stanford
|
Stephen H. Shenker and Douglas Stanford
|
Black holes and the butterfly effect
|
29 pages, 4 figures. v2: references added/clarified, typos corrected.
v3: reference added, referencing clarified
| null |
10.1007/JHEP03(2014)067
|
SU-ITP-13/08
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We use holography to study sensitive dependence on initial conditions in
strongly coupled field theories. Specifically, we mildly perturb a thermofield
double state by adding a small number of quanta on one side. If these quanta
are released a scrambling time in the past, they destroy the local two-sided
correlations present in the unperturbed state. The corresponding bulk geometry
is a two-sided AdS black hole, and the key effect is the blueshift of the early
infalling quanta relative to the $t = 0$ slice, creating a shock wave. We
comment on string- and Planck-scale corrections to this setup, and discuss
points that may be relevant to the firewall controversy.
|
[
{
"created": "Mon, 3 Jun 2013 23:33:05 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Sep 2013 21:08:36 GMT",
"version": "v2"
},
{
"created": "Mon, 21 Apr 2014 15:46:36 GMT",
"version": "v3"
}
] |
2015-06-16
|
[
[
"Shenker",
"Stephen H.",
""
],
[
"Stanford",
"Douglas",
""
]
] |
We use holography to study sensitive dependence on initial conditions in strongly coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a small number of quanta on one side. If these quanta are released a scrambling time in the past, they destroy the local two-sided correlations present in the unperturbed state. The corresponding bulk geometry is a two-sided AdS black hole, and the key effect is the blueshift of the early infalling quanta relative to the $t = 0$ slice, creating a shock wave. We comment on string- and Planck-scale corrections to this setup, and discuss points that may be relevant to the firewall controversy.
|
1309.7904
|
Antonio Soares de Castro
|
L.B. Castro and A.S. de Castro
|
Missing solution in a Cornell potential
| null | null |
10.1016/j.aop.2013.09.008
| null |
hep-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Missing bound-state solutions for fermions in the background of a Cornell
potential consisting of a mixed scalar-vector-pseudoscalar coupling is
examined. Charge-conjugation operation, degeneracy and localization are
discussed.
|
[
{
"created": "Mon, 30 Sep 2013 16:08:47 GMT",
"version": "v1"
}
] |
2015-06-17
|
[
[
"Castro",
"L. B.",
""
],
[
"de Castro",
"A. S.",
""
]
] |
Missing bound-state solutions for fermions in the background of a Cornell potential consisting of a mixed scalar-vector-pseudoscalar coupling is examined. Charge-conjugation operation, degeneracy and localization are discussed.
|
hep-th/9506185
|
Filippo Colomo
|
Luca Lusanna
|
Aspects of Galilean and Relativistic Particle Mechanics with Dirac's
Constraints
|
Talk given at the Conference ``Theories of Fundamental Interactions",
Maynooth (Ireland), May 1995. (LaTeX file)
| null | null | null |
hep-th gr-qc
| null |
Relevant physical models are described by singular Lagrangians, so that their
Hamiltonian description is based on the Dirac theory of constraints. The
qualitative aspects of this theory are now understood, in particular the role
of the Shanmugadhasan canonical transformation in the determination of a
canonical basis of Dirac's observables allowing the elimination of gauge
degrees of freedom from the classical description of physical systems. This
programme was initiated by Dirac for the electromagnetic field with charged
fermions. Now Dirac's observables for Yang-Mills theory with fermions (whose
typical application is QCD) have been found in suitable function spaces where
the Gribov ambiguity is absent. Also the ones for the Abelian Higgs model are
known and those for the $SU(2) \times U(1)$ electroweak theory with fermions
are going to be found with the same method working for the Abelian case. The
main task along these lines will now be the search of Dirac's observables for
tetrad gravity in the case of asymptotically flat 3-manifolds. The philosophy
behind this approach is ``first reduce, then quantize": this requires a global
symplectic separation of the physical variables from the gauge ones so that the
role of differential geometry applied to smooth field configurations is
dominating, in contrast with the standard approach of ``first quantizing, then
reducing", where, in the case of gauge field theory, the reduction process
takes place on distributional field configurations, which dominate in quantum
measures. This global separation has been accomplished till now, at least at a
heuristic level, and one is going to have a classical (pseudoclassical for the
fermion) variables basis for the physical description of the $SU(3)\times
SU(2)\times U(1)$ standard model; instead, with tetrad gravity one expects to
|
[
{
"created": "Wed, 28 Jun 1995 10:46:35 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lusanna",
"Luca",
""
]
] |
Relevant physical models are described by singular Lagrangians, so that their Hamiltonian description is based on the Dirac theory of constraints. The qualitative aspects of this theory are now understood, in particular the role of the Shanmugadhasan canonical transformation in the determination of a canonical basis of Dirac's observables allowing the elimination of gauge degrees of freedom from the classical description of physical systems. This programme was initiated by Dirac for the electromagnetic field with charged fermions. Now Dirac's observables for Yang-Mills theory with fermions (whose typical application is QCD) have been found in suitable function spaces where the Gribov ambiguity is absent. Also the ones for the Abelian Higgs model are known and those for the $SU(2) \times U(1)$ electroweak theory with fermions are going to be found with the same method working for the Abelian case. The main task along these lines will now be the search of Dirac's observables for tetrad gravity in the case of asymptotically flat 3-manifolds. The philosophy behind this approach is ``first reduce, then quantize": this requires a global symplectic separation of the physical variables from the gauge ones so that the role of differential geometry applied to smooth field configurations is dominating, in contrast with the standard approach of ``first quantizing, then reducing", where, in the case of gauge field theory, the reduction process takes place on distributional field configurations, which dominate in quantum measures. This global separation has been accomplished till now, at least at a heuristic level, and one is going to have a classical (pseudoclassical for the fermion) variables basis for the physical description of the $SU(3)\times SU(2)\times U(1)$ standard model; instead, with tetrad gravity one expects to
|
1407.2017
|
Dr. Sudhaker Upadhyay
|
Sudhaker Upadhyay (IIT Kanpur), Manoj Kumar Dwivedi and Bhabani Prasad
Mandal (Banaras Hindu University)
|
Emergence of Lowenstein-Zimmermann mass terms for QED$_{3}$
|
7 pages, Revtex, no figure, version to appear in Int. J. Mod. Phys. A
|
Int. J. Mod. Phys. A 30, 1550178 (2015)
|
10.1142/S0217751X1550178X
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider a super-renormalizable theory of massless QED in
$(2+1)$ dimensions and discuss their BRST symmetry transformation. By extending
the BRST transformation we derive the Nielsen identities for the theory.
Further, we compute the generalized BRST (so-called FFBRST) transformation by
making the transformation parameter field-dependent. Remarkably, we observe
that the Lowenstein-Zimmerman mass terms, containing Lowenstein-Zimmerman
parameter which plays an important role in the BPHZL renormalization program,
along with the external sources coupled to the non-linear BRST variations
appear naturally in the theory through a FFBRST transformation.
|
[
{
"created": "Tue, 8 Jul 2014 09:58:40 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Sep 2015 09:05:24 GMT",
"version": "v2"
}
] |
2016-01-29
|
[
[
"Upadhyay",
"Sudhaker",
"",
"IIT Kanpur"
],
[
"Dwivedi",
"Manoj Kumar",
"",
"Banaras Hindu University"
],
[
"Mandal",
"Bhabani Prasad",
"",
"Banaras Hindu University"
]
] |
In this paper we consider a super-renormalizable theory of massless QED in $(2+1)$ dimensions and discuss their BRST symmetry transformation. By extending the BRST transformation we derive the Nielsen identities for the theory. Further, we compute the generalized BRST (so-called FFBRST) transformation by making the transformation parameter field-dependent. Remarkably, we observe that the Lowenstein-Zimmerman mass terms, containing Lowenstein-Zimmerman parameter which plays an important role in the BPHZL renormalization program, along with the external sources coupled to the non-linear BRST variations appear naturally in the theory through a FFBRST transformation.
|
1510.01698
|
Keita Kaniba Mady
|
Keita Kaniba Mady and Dicko Younouss Hameye
|
Generalized Thermodynamic Properties of Lifshitz black holes
|
13 pages, 2 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The generalized effective potential for motion in Lifshitz geometry (with
arbitrary value of both the dynamical exponent $z$ and $f(r)$) is presented.
Based on this effective potential energy, we shall show that bounded orbits are
forbidden for positive values of $z$ and allowed for negative values of $z$.
The stability of these bounded orbits are analysed in full detail. Besides, by
comparison, we quote a theorem which should be very helpful in searching
thermodynamical properties of these gravitational black holes. Based on this
theorem, generalized thermodynamic properties of Lifshitz black holes are
computed. Examples are given where the entropy still satisfies the area law.
The calculated mass, temperature and entropy satisfy both the first
thermodynamic principle of black holes and a Smarr formula.
|
[
{
"created": "Tue, 6 Oct 2015 18:51:21 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Nov 2015 10:02:52 GMT",
"version": "v2"
}
] |
2015-11-13
|
[
[
"Mady",
"Keita Kaniba",
""
],
[
"Hameye",
"Dicko Younouss",
""
]
] |
The generalized effective potential for motion in Lifshitz geometry (with arbitrary value of both the dynamical exponent $z$ and $f(r)$) is presented. Based on this effective potential energy, we shall show that bounded orbits are forbidden for positive values of $z$ and allowed for negative values of $z$. The stability of these bounded orbits are analysed in full detail. Besides, by comparison, we quote a theorem which should be very helpful in searching thermodynamical properties of these gravitational black holes. Based on this theorem, generalized thermodynamic properties of Lifshitz black holes are computed. Examples are given where the entropy still satisfies the area law. The calculated mass, temperature and entropy satisfy both the first thermodynamic principle of black holes and a Smarr formula.
|
1907.10605
|
Phongpichit Channuie
|
Phongpichit Channuie (Walailak U.)
|
Refined Swampland conjecture in deformed Starobinsky gravity
|
v3: 11 pages, discussion and references added, version accepted by
Int. J. Mod. Phys. D
|
Int. J. Mod. Phys. D 31 (2022) 2250074
|
10.1142/S0218271822500742
| null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
In order to validate or invalidate a large class of low energy effective
theories, the Swampland conjecture has attracted significant attention,
recently. It can be stated as inequalities on the potential of a scalar field
which is conjectured to satisfy certain constraints. In this work, we discuss
the theoretical viability of deformed Starobinky gravity in light of the
refined Swampland conjectures. We consider the deformation of the form
$f(R)\sim R^{2(1-\alpha)}$ with $\alpha$ being a constant. We then constrain
$\alpha$ using the spectral index of curvature perturbation $n_s$ and the
tensor-to-scalar ratio $r$. We demonstrate that the model under consideration
is in strong tension with the refined swampland conjecture. However, regarding
our analysis with proper choices of parameters $a,\,b=1- a$ and $q$, we
discover that the model can always satisfy this new refined swampland
conjecture. Therefore, the model might be in landscape since the further
refining de Sitter swampland conjecture is satisfied.
|
[
{
"created": "Thu, 25 Jul 2019 14:15:25 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Nov 2019 13:32:35 GMT",
"version": "v2"
},
{
"created": "Thu, 19 May 2022 13:33:55 GMT",
"version": "v3"
}
] |
2022-06-22
|
[
[
"Channuie",
"Phongpichit",
"",
"Walailak U."
]
] |
In order to validate or invalidate a large class of low energy effective theories, the Swampland conjecture has attracted significant attention, recently. It can be stated as inequalities on the potential of a scalar field which is conjectured to satisfy certain constraints. In this work, we discuss the theoretical viability of deformed Starobinky gravity in light of the refined Swampland conjectures. We consider the deformation of the form $f(R)\sim R^{2(1-\alpha)}$ with $\alpha$ being a constant. We then constrain $\alpha$ using the spectral index of curvature perturbation $n_s$ and the tensor-to-scalar ratio $r$. We demonstrate that the model under consideration is in strong tension with the refined swampland conjecture. However, regarding our analysis with proper choices of parameters $a,\,b=1- a$ and $q$, we discover that the model can always satisfy this new refined swampland conjecture. Therefore, the model might be in landscape since the further refining de Sitter swampland conjecture is satisfied.
|
hep-th/0608229
|
Shesansu Pal
|
D. Gepner and Shesansu Pal
|
Chiral symmetry breaking and restoration from holography
|
39 pp; Typos fixed, ref, added, and the configuration at zero
temperature is clarified
| null | null | null |
hep-th
| null |
We study intersection of $N_c$ color D4 branes with $N_f$ Dp-branes and
anti-Dp branes in the strong coupling limit in the probe approximation. The
resulting model has $U(N_f)\times U(N_f)$ global symmetry. We see an $n$
dimensional theory for $n$ overlapping directions between color and flavor
branes. At zero temperature we do see the breakdown of chiral symmetry, but
there arises a puzzle: we do not see any massless NG boson to the break down of
the chiral symmetry group for $n=2,3$ for a specific p. At finite temperature
we do see the restoration of chiral symmetry group and the associated phase
transitions are of first order. The chiral symmetry restoration is described by
a curve, which connects L, the asymptotic distance of separation between the
auarks, with the temperature, T. In general this quantity is very difficult to
compute but if we evaluate it numerically then the curve is described by an
equation $L T=c$, where c is a constant and is much smaller than one. It means
for $L/R_{\tau}$ above $2\pi c$ there occurs the deconfined phase along with
the chiral symmetryrestored phase.
|
[
{
"created": "Thu, 31 Aug 2006 16:51:11 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Sep 2006 15:14:16 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Gepner",
"D.",
""
],
[
"Pal",
"Shesansu",
""
]
] |
We study intersection of $N_c$ color D4 branes with $N_f$ Dp-branes and anti-Dp branes in the strong coupling limit in the probe approximation. The resulting model has $U(N_f)\times U(N_f)$ global symmetry. We see an $n$ dimensional theory for $n$ overlapping directions between color and flavor branes. At zero temperature we do see the breakdown of chiral symmetry, but there arises a puzzle: we do not see any massless NG boson to the break down of the chiral symmetry group for $n=2,3$ for a specific p. At finite temperature we do see the restoration of chiral symmetry group and the associated phase transitions are of first order. The chiral symmetry restoration is described by a curve, which connects L, the asymptotic distance of separation between the auarks, with the temperature, T. In general this quantity is very difficult to compute but if we evaluate it numerically then the curve is described by an equation $L T=c$, where c is a constant and is much smaller than one. It means for $L/R_{\tau}$ above $2\pi c$ there occurs the deconfined phase along with the chiral symmetryrestored phase.
|
0706.3677
|
Keith Copsey
|
Keith Copsey
|
Bubbles Unbound II: AdS and the Single Bubble
|
42 pages, 11 figures, v2: minor improvements, v3: added references,
enhanced soliton discussion, typos corrected, published version
|
JHEP 0710:095,2007
|
10.1088/1126-6708/2007/10/095
| null |
hep-th gr-qc
| null |
I present further analytic time symmetric initial data for five dimensions
describing ``bubbles of nothing'' which have no Kaluza-Klein circle
asymptotically. The new solutions consist of a large family of single bubbles
in both asymptotically flat and asymptotically AdS space. I also numerically
construct gravitational solitons in AdS where the usual boundary conditions are
modified geometrically but not topologically. Furthermore I point out there are
both regular AdS bubbles and topologically trivial metrics in asymptotically
global AdS dual to matter which violates all the usual energy conditions, both
classical and quantum. I inquire as to the existence of a dual gravitational
instability.
|
[
{
"created": "Mon, 25 Jun 2007 17:46:23 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2007 18:26:59 GMT",
"version": "v2"
},
{
"created": "Tue, 4 Dec 2007 19:34:42 GMT",
"version": "v3"
}
] |
2009-11-18
|
[
[
"Copsey",
"Keith",
""
]
] |
I present further analytic time symmetric initial data for five dimensions describing ``bubbles of nothing'' which have no Kaluza-Klein circle asymptotically. The new solutions consist of a large family of single bubbles in both asymptotically flat and asymptotically AdS space. I also numerically construct gravitational solitons in AdS where the usual boundary conditions are modified geometrically but not topologically. Furthermore I point out there are both regular AdS bubbles and topologically trivial metrics in asymptotically global AdS dual to matter which violates all the usual energy conditions, both classical and quantum. I inquire as to the existence of a dual gravitational instability.
|
1804.05605
|
Alberto Alonso-Izquierdo Dr
|
A. Alonso-Izquierdo
|
Kink dynamics in the MSTB Model
|
24 pages, 19 figures
|
Phys. Scr. 94 (2019) 085302
|
10.1088/1402-4896/ab1184
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper kink scattering processes are investigated in the
Montonen-Sarker-Trullinger-Bishop model. The MSTB model is in fact a
one-parametric family of relativistic scalar field theories living in a
one-time one-space Minkowski space-time which encompasses two coupled scalar
fields. Between the static solutions of the model two kinds of topological
kinks are distinguished in a precise range of the family parameter. In that
regime there exists one unstable kink exhibiting only one non-null component of
the scalar field. Another type of topological kink solutions, stable in this
case, includes two different kinks for which the two-components of the scalar
field are non-null. Both one-component and two-component topological kinks are
accompanied by their antikink partner. The decay of disintegration of the
unstable kink to one of the stable pair plus radiation is numerically computed.
The pair of stable two-component kinks living respectively on upper and lower
half-ellipses in field space belong to identical topological sectors in
configuration space and provides an ideal playground to address several
scattering events involving one kink and either its own antikinks or either the
antikink of the other stable kink of the pair. By means of a numerical
computation procedure we shall find and describe interesting physical
phenomena. Bion (kink-antikink oscillations) formation, kink reflection,
kink-antikink annihilation, kink transmutation and resonances are examples of
these type of events. The appearance of these special phenomena emerging in
kink-antikink scattering configurations depends critically on the initial
collision velocity and the chosen value of the coupling constant parametrizing
the family of MSTB models.
|
[
{
"created": "Mon, 16 Apr 2018 11:01:29 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2018 10:59:41 GMT",
"version": "v2"
}
] |
2019-06-25
|
[
[
"Alonso-Izquierdo",
"A.",
""
]
] |
In this paper kink scattering processes are investigated in the Montonen-Sarker-Trullinger-Bishop model. The MSTB model is in fact a one-parametric family of relativistic scalar field theories living in a one-time one-space Minkowski space-time which encompasses two coupled scalar fields. Between the static solutions of the model two kinds of topological kinks are distinguished in a precise range of the family parameter. In that regime there exists one unstable kink exhibiting only one non-null component of the scalar field. Another type of topological kink solutions, stable in this case, includes two different kinks for which the two-components of the scalar field are non-null. Both one-component and two-component topological kinks are accompanied by their antikink partner. The decay of disintegration of the unstable kink to one of the stable pair plus radiation is numerically computed. The pair of stable two-component kinks living respectively on upper and lower half-ellipses in field space belong to identical topological sectors in configuration space and provides an ideal playground to address several scattering events involving one kink and either its own antikinks or either the antikink of the other stable kink of the pair. By means of a numerical computation procedure we shall find and describe interesting physical phenomena. Bion (kink-antikink oscillations) formation, kink reflection, kink-antikink annihilation, kink transmutation and resonances are examples of these type of events. The appearance of these special phenomena emerging in kink-antikink scattering configurations depends critically on the initial collision velocity and the chosen value of the coupling constant parametrizing the family of MSTB models.
|
hep-th/0107185
|
Niclas Wyllard
|
Niclas Wyllard
|
Derivative corrections to the D-brane Born-Infeld action: non-geodesic
embeddings and the Seiberg-Witten map
|
20 pages, LaTeX. v2: relation between (2.11) and result in
hep-th/9903210 clarified. v3: minor changes; reference added
|
JHEP 0108 (2001) 027
|
10.1088/1126-6708/2001/08/027
| null |
hep-th
| null |
We dimensionally reduce the four-derivative corrections to the
parity-conserving part of the D9-brane effective action involving all orders of
the gauge field, to obtain corrections to the actions for the lower-dimensional
Dp-branes. These corrections involve the second fundamental form and correspond
to a non-geodesic embedding of the Dp-brane into (flat) ten-dimensional space.
In addition, we study the transformation of the corrections under the
Seiberg-Witten map relating the ordinary and non-commutative theories. A
speculative discussion about the higher-order terms in the derivative expansion
is also included.
|
[
{
"created": "Sun, 22 Jul 2001 22:13:16 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Aug 2001 15:58:11 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Aug 2001 18:06:46 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Wyllard",
"Niclas",
""
]
] |
We dimensionally reduce the four-derivative corrections to the parity-conserving part of the D9-brane effective action involving all orders of the gauge field, to obtain corrections to the actions for the lower-dimensional Dp-branes. These corrections involve the second fundamental form and correspond to a non-geodesic embedding of the Dp-brane into (flat) ten-dimensional space. In addition, we study the transformation of the corrections under the Seiberg-Witten map relating the ordinary and non-commutative theories. A speculative discussion about the higher-order terms in the derivative expansion is also included.
|
1901.02432
|
Piotr Tourkine
|
Piotr Tourkine
|
On integrands and loop momentum in string and field theory
|
27 pages, 8 figures. v2: few refs added
|
Phys. Rev. D 102, 026006 (2020)
|
10.1103/PhysRevD.102.026006
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The notion of a unique integrand does not a priori makes sense in field
theory: different Feynman diagrams have different loop momenta and there should
be no reason to compare them. In string theory, however, a global integrand is
natural and allows, for instance, to make explicit the separation between left
and right-moving degrees of freedom. However, the significance of this
integrand had not really been investigated so far. It is even more important in
view of the recently discovered loop monodromies that are related to the
duality between color and kinematics in gauge and gravity loop amplitudes. This
paper intends to start filling this gap, by presenting a careful definition of
the loop momentum in string theory, and describing precisely the resulting
global integrand obtained in the field theory limit. We will then apply this
technology to write down some monodromy relations at two and three loops, and
make contact with the color/kinematics duality.
|
[
{
"created": "Tue, 8 Jan 2019 18:20:15 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jan 2019 14:25:52 GMT",
"version": "v2"
}
] |
2020-07-15
|
[
[
"Tourkine",
"Piotr",
""
]
] |
The notion of a unique integrand does not a priori makes sense in field theory: different Feynman diagrams have different loop momenta and there should be no reason to compare them. In string theory, however, a global integrand is natural and allows, for instance, to make explicit the separation between left and right-moving degrees of freedom. However, the significance of this integrand had not really been investigated so far. It is even more important in view of the recently discovered loop monodromies that are related to the duality between color and kinematics in gauge and gravity loop amplitudes. This paper intends to start filling this gap, by presenting a careful definition of the loop momentum in string theory, and describing precisely the resulting global integrand obtained in the field theory limit. We will then apply this technology to write down some monodromy relations at two and three loops, and make contact with the color/kinematics duality.
|
2311.04113
|
Luca Ciambelli
|
Luca Ciambelli
|
Dynamics of Carrollian Scalar Fields
|
V2, Refs added and minor modifications
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Adopting an intrinsic Carrollian viewpoint, we show that the generic
Carrollian scalar field action is a combination of electric and magnetic
actions, found in the literature by taking the Carrollian limit of the
relativistic scalar field. This leads to non-trivial dynamics: even a single
particle with non-vanishing energy can move in Carrollian physics.
|
[
{
"created": "Tue, 7 Nov 2023 16:33:24 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2023 19:20:38 GMT",
"version": "v2"
}
] |
2023-11-21
|
[
[
"Ciambelli",
"Luca",
""
]
] |
Adopting an intrinsic Carrollian viewpoint, we show that the generic Carrollian scalar field action is a combination of electric and magnetic actions, found in the literature by taking the Carrollian limit of the relativistic scalar field. This leads to non-trivial dynamics: even a single particle with non-vanishing energy can move in Carrollian physics.
|
hep-th/9309033
|
Harry Braden
|
H. W. Braden and Takashi Suzuki
|
$R$-matrices for Elliptic Calogero-Moser Models
|
11 pages. Updated to agree with published version
|
Lett.Math.Phys.30:147-158,1994
|
10.1007/BF00939702
| null |
hep-th nlin.SI solv-int
| null |
The classical $R$-matrix structure for the $n$-particle Calogero-Moser models
with (type IV) elliptic potentials is investigated. We show there is no
momentum independent $R$-matrix (without spectral parameter) when $n\ge4$. The
assumption of momentum independence is sufficient to reproduce the dynamical
$R$-matrices of Avan and Talon for the type I,II,III degenerations of the
elliptic potential. The inclusion of a spectral parameter enables us to find
$R$-matrices for the general elliptic potential.
|
[
{
"created": "Mon, 6 Sep 1993 15:39:10 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 1993 08:50:41 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Dec 1993 15:41:35 GMT",
"version": "v3"
}
] |
2011-07-19
|
[
[
"Braden",
"H. W.",
""
],
[
"Suzuki",
"Takashi",
""
]
] |
The classical $R$-matrix structure for the $n$-particle Calogero-Moser models with (type IV) elliptic potentials is investigated. We show there is no momentum independent $R$-matrix (without spectral parameter) when $n\ge4$. The assumption of momentum independence is sufficient to reproduce the dynamical $R$-matrices of Avan and Talon for the type I,II,III degenerations of the elliptic potential. The inclusion of a spectral parameter enables us to find $R$-matrices for the general elliptic potential.
|
hep-th/9404109
|
Damiano Anselmi
|
D. Anselmi, P. Fre', L. Girardello and P. Soriani
|
Constrained Topological Gravity from Twisted N=2 Liouville Theory
|
48 pages, LaTex file, SISSA 49/94/EP, IFUM 468/FT
|
Nucl.Phys. B427 (1994) 351-397
|
10.1016/0550-3213(94)90281-X
| null |
hep-th
| null |
In this paper we show that there exists a new class of topological field
theories, whose correlators are intersection numbers of cohomology classes in a
constrained moduli space. Our specific example is a formulation of 2D
topological gravity. The constrained moduli-space is the Poincare' dual of the
top Chern-class of the bundle $E_\rightarrow {\cal M}_g$, whose sections are
the holomorphic differentials. Its complex dimension is $2g-3$, rather then
$3g-3$. We derive our model by performing the A-topological twist of N=2
supergravity, that we identify with N=2 Liouville theory, whose rheonomic
construction is also presented. The peculiar field theoretical mechanism,
rooted in BRST cohomology, that is responsible for the constraint on moduli
space is discussed, the key point being the fact that the graviphoton becomes a
Lagrange multiplier after twist. The relation with conformal field theories is
also explored. Our formulation of N=2 Liouville theory leads to a
representation of the N=2 superconformal algebra with $c=6$, instead of the
value $c=9$ that is obtained by untwisting the Verlinde and Verlinde
formulation of topological gravity. The reduced central charge is the shadow,
in conformal field theory, of the constraint on moduli space.
|
[
{
"created": "Mon, 18 Apr 1994 19:37:40 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Anselmi",
"D.",
""
],
[
"Fre'",
"P.",
""
],
[
"Girardello",
"L.",
""
],
[
"Soriani",
"P.",
""
]
] |
In this paper we show that there exists a new class of topological field theories, whose correlators are intersection numbers of cohomology classes in a constrained moduli space. Our specific example is a formulation of 2D topological gravity. The constrained moduli-space is the Poincare' dual of the top Chern-class of the bundle $E_\rightarrow {\cal M}_g$, whose sections are the holomorphic differentials. Its complex dimension is $2g-3$, rather then $3g-3$. We derive our model by performing the A-topological twist of N=2 supergravity, that we identify with N=2 Liouville theory, whose rheonomic construction is also presented. The peculiar field theoretical mechanism, rooted in BRST cohomology, that is responsible for the constraint on moduli space is discussed, the key point being the fact that the graviphoton becomes a Lagrange multiplier after twist. The relation with conformal field theories is also explored. Our formulation of N=2 Liouville theory leads to a representation of the N=2 superconformal algebra with $c=6$, instead of the value $c=9$ that is obtained by untwisting the Verlinde and Verlinde formulation of topological gravity. The reduced central charge is the shadow, in conformal field theory, of the constraint on moduli space.
|
1011.2545
|
Robert Finkelstein j
|
Robert J. Finkelstein
|
Solitonic Models Based on Quantum Groups and the Standard Model
|
59 pages
| null | null | null |
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The idea that the elementary particles might have the symmetry of knots has
had a long history. In any current formulation of this idea, however, the knot
must be quantized. The present review is a summary of a small set of papers
that began as an attempt to correlate the properties of quantized knots with
the empirical properties of the elementary particles. As the ideas behind these
papers have developed over a number of years the model has evolved, and this
review is intended to present the model in its current form. The original
picture of an elementary fermion as a solitonic knot of field, described by the
trefoil representation of SUq(2), has expanded into its current form in which a
knotted field is complementary to a composite structure composed of three or
more preons that in turn are described by the fundamental representation of
SLq(2). These complementary descriptions may be interpreted as describing
single composite particles composed of three or more preons bound by a knotted
field.
|
[
{
"created": "Thu, 11 Nov 2010 02:35:57 GMT",
"version": "v1"
}
] |
2010-11-12
|
[
[
"Finkelstein",
"Robert J.",
""
]
] |
The idea that the elementary particles might have the symmetry of knots has had a long history. In any current formulation of this idea, however, the knot must be quantized. The present review is a summary of a small set of papers that began as an attempt to correlate the properties of quantized knots with the empirical properties of the elementary particles. As the ideas behind these papers have developed over a number of years the model has evolved, and this review is intended to present the model in its current form. The original picture of an elementary fermion as a solitonic knot of field, described by the trefoil representation of SUq(2), has expanded into its current form in which a knotted field is complementary to a composite structure composed of three or more preons that in turn are described by the fundamental representation of SLq(2). These complementary descriptions may be interpreted as describing single composite particles composed of three or more preons bound by a knotted field.
|
2408.05274
|
Ronak M Soni
|
Jackson R. Fliss, Alexander Frenkel, Sean A. Hartnoll and Ronak M Soni
|
Minimal Areas from Entangled Matrices
|
48+16 pages, 8 figures
| null | null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a relational notion of a subsystem in theories of matrix quantum
mechanics and show how the corresponding entanglement entropy can be given as a
minimisation, exhibiting many similarities to the Ryu-Takayanagi formula. Our
construction brings together the physics of entanglement edge modes,
noncommutative geometry and quantum internal reference frames, to define a
subsystem whose reduced state is (approximately) an incoherent sum of density
matrices, corresponding to distinct spatial subregions. We show that in states
where geometry emerges from semiclassical matrices, this sum is dominated by
the subregion with minimal boundary area. As in the Ryu-Takayanagi formula, it
is the computation of the entanglement that determines the subregion. We find
that coarse-graining is essential in our microscopic derivation, in order to
control the proliferation of highly curved and disconnected non-geometric
subregions in the sum.
|
[
{
"created": "Fri, 9 Aug 2024 18:00:03 GMT",
"version": "v1"
}
] |
2024-08-13
|
[
[
"Fliss",
"Jackson R.",
""
],
[
"Frenkel",
"Alexander",
""
],
[
"Hartnoll",
"Sean A.",
""
],
[
"Soni",
"Ronak M",
""
]
] |
We define a relational notion of a subsystem in theories of matrix quantum mechanics and show how the corresponding entanglement entropy can be given as a minimisation, exhibiting many similarities to the Ryu-Takayanagi formula. Our construction brings together the physics of entanglement edge modes, noncommutative geometry and quantum internal reference frames, to define a subsystem whose reduced state is (approximately) an incoherent sum of density matrices, corresponding to distinct spatial subregions. We show that in states where geometry emerges from semiclassical matrices, this sum is dominated by the subregion with minimal boundary area. As in the Ryu-Takayanagi formula, it is the computation of the entanglement that determines the subregion. We find that coarse-graining is essential in our microscopic derivation, in order to control the proliferation of highly curved and disconnected non-geometric subregions in the sum.
|
0712.1826
|
Igor Bandos
|
Igor A. Bandos
|
On covariant quantization of M0-brane. Spinor moving frame, pure spinor
formalism and hidden symmetries of D=11 supergravity
|
10 pages, no figures, talk given at SQS07, Supersymmetry and Quantum
Symmetries, JINR, Dubna, July 30-August 4, 2007. V2: reference on 1985
preprint by M.J. Duff [28] and notice on it added
| null | null |
FTUV-07-1112, IFIC-07-78
|
hep-th
| null |
The covariant quantization of massless D=11 superparticle (M0-brane) in its
twistor-like Lorentz harmonic formulation is used to clarify the origin and
some properties of the Berkovits pure spinor approach to quantum superstring
and to search for hidden symmetries of D=11 supergravity. In the twistor like
Lorentz harmonic formulation, the SO(16) symmetry is seen already at the
classical level. The quantization produces the linearized supergravity
multiplet as 128+128=256 component Majorana spinor of SO(16) and also shows an
indirect argument in favor of the possible E8 symmetry.
|
[
{
"created": "Wed, 12 Dec 2007 14:28:41 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Feb 2008 17:22:26 GMT",
"version": "v2"
}
] |
2008-02-20
|
[
[
"Bandos",
"Igor A.",
""
]
] |
The covariant quantization of massless D=11 superparticle (M0-brane) in its twistor-like Lorentz harmonic formulation is used to clarify the origin and some properties of the Berkovits pure spinor approach to quantum superstring and to search for hidden symmetries of D=11 supergravity. In the twistor like Lorentz harmonic formulation, the SO(16) symmetry is seen already at the classical level. The quantization produces the linearized supergravity multiplet as 128+128=256 component Majorana spinor of SO(16) and also shows an indirect argument in favor of the possible E8 symmetry.
|
hep-th/0112039
|
Julie D. Blum
|
Julie D. Blum
|
Calculation of Nonperturbative Terms in Open String Models
| null |
Nucl.Phys.B634:3-22,2002
|
10.1016/S0550-3213(02)00286-9
|
UTTG-18-01
|
hep-th
| null |
Nonperturbative corrections in type II string theory corresponding to Riemann
surfaces with one boundary are calculated in several noncompact geometries of
desingularized orbifolds. One of these models has a complicated phase structure
which is explored. A general condition for integrality of the numerical
invariants is discussed.
|
[
{
"created": "Wed, 5 Dec 2001 21:19:58 GMT",
"version": "v1"
}
] |
2009-08-18
|
[
[
"Blum",
"Julie D.",
""
]
] |
Nonperturbative corrections in type II string theory corresponding to Riemann surfaces with one boundary are calculated in several noncompact geometries of desingularized orbifolds. One of these models has a complicated phase structure which is explored. A general condition for integrality of the numerical invariants is discussed.
|
1005.3653
|
Luca Lusanna
|
D. Alba, H.W. Crater and L. Lusanna
|
The Rest-Frame Instant Form and Dirac Observables for the Open Nambu
String
|
43 pages
|
Eur.Phys.J.Plus 126:26,2011
|
10.1140/epjp/i2011-11026-8
| null |
hep-th astro-ph.HE gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The rest-frame instant form of the positive-energy part of the open Nambu
string is developed. The string is described as a decoupled non-local canonical
non-covariant Newton-Wigner center of mass plus a canonical basis of
Wigner-covariant relative variables living in the Wigner 3-spaces. The center
of mass carries a realization of the Poincare' algebra depending upon the
invariant mass and the rest-spin of the string, functions of the relative
variables. A canonical basis of gauge invariant Dirac observables is built with
Frenet-Serret geometrical methods. Some comments on canonical quantization are
made.
|
[
{
"created": "Thu, 20 May 2010 10:22:32 GMT",
"version": "v1"
}
] |
2011-04-20
|
[
[
"Alba",
"D.",
""
],
[
"Crater",
"H. W.",
""
],
[
"Lusanna",
"L.",
""
]
] |
The rest-frame instant form of the positive-energy part of the open Nambu string is developed. The string is described as a decoupled non-local canonical non-covariant Newton-Wigner center of mass plus a canonical basis of Wigner-covariant relative variables living in the Wigner 3-spaces. The center of mass carries a realization of the Poincare' algebra depending upon the invariant mass and the rest-spin of the string, functions of the relative variables. A canonical basis of gauge invariant Dirac observables is built with Frenet-Serret geometrical methods. Some comments on canonical quantization are made.
|
1304.2206
|
Laura Andrianopoli Dr
|
L. Andrianopoli, R. D'Auria, P.A. Grassi, and M. Trigiante
|
Entropy Current Formalism for Supersymmetric Theories
|
Definition of the entropy current improved and the main body of the
paper rearranged; Discussion on Hodge duality in superspace removed and left
to a forthcoming publication; Typos corrected
| null | null |
DISIT-2013, CERN-PH-TH/2013-041
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The recent developments in fluid/gravity correspondence give a new impulse to
the study of fluid dynamics of supersymmetric theories. In that respect, the
entropy current formalism requires some modifications in order to be adapted to
supersymmetric theories and supergravities. We formulate a new entropy current
in superspace with the properties: 1) it is conserved off-shell for non
dissipative fluids, 2) it is invariant under rigid supersymmetry
transformations 3) it is covariantly closed in local supersymmetric theories 4)
it reduces to its bosonic expression on space-time.
|
[
{
"created": "Mon, 8 Apr 2013 13:38:37 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2013 18:45:13 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Oct 2013 08:15:37 GMT",
"version": "v3"
}
] |
2013-10-16
|
[
[
"Andrianopoli",
"L.",
""
],
[
"D'Auria",
"R.",
""
],
[
"Grassi",
"P. A.",
""
],
[
"Trigiante",
"M.",
""
]
] |
The recent developments in fluid/gravity correspondence give a new impulse to the study of fluid dynamics of supersymmetric theories. In that respect, the entropy current formalism requires some modifications in order to be adapted to supersymmetric theories and supergravities. We formulate a new entropy current in superspace with the properties: 1) it is conserved off-shell for non dissipative fluids, 2) it is invariant under rigid supersymmetry transformations 3) it is covariantly closed in local supersymmetric theories 4) it reduces to its bosonic expression on space-time.
|
2012.12277
|
Andrew Svesko
|
Damien Easson, Tucker Manton, Maulik Parikh, and Andrew Svesko
|
The Stringy Origins of Galileons and their Novel Limit
|
37 pages, clarifications added, to appear in JCAP
| null |
10.1088/1475-7516/2021/05/031
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We show generalized Galileons -- a particular subclass of Horndeski gravity
-- arise from a consistent Kaluza-Klein reduction of the low-energy effective
action of heterotic string theory to first order in $\alpha'$. This suggests
Horndeski theories of gravity have a string-theoretic origin. The form of the
Galileonic terms is precisely fixed by parameters of the embedding spacetime,
so that only a specific subset of Horndeski theories is permitted by string
theory. A novel limit of the model is considered by performing a dimensionful
rescaling of $\alpha'$.
|
[
{
"created": "Tue, 22 Dec 2020 19:00:03 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2021 17:09:08 GMT",
"version": "v2"
}
] |
2021-05-26
|
[
[
"Easson",
"Damien",
""
],
[
"Manton",
"Tucker",
""
],
[
"Parikh",
"Maulik",
""
],
[
"Svesko",
"Andrew",
""
]
] |
We show generalized Galileons -- a particular subclass of Horndeski gravity -- arise from a consistent Kaluza-Klein reduction of the low-energy effective action of heterotic string theory to first order in $\alpha'$. This suggests Horndeski theories of gravity have a string-theoretic origin. The form of the Galileonic terms is precisely fixed by parameters of the embedding spacetime, so that only a specific subset of Horndeski theories is permitted by string theory. A novel limit of the model is considered by performing a dimensionful rescaling of $\alpha'$.
|
1603.09299
|
Raju Roychowdhury
|
Saurabh Gupta, Raju Roychowdhury
|
Anti Self-Dual Yang-Mills, Modified Faddeev-Jackiw Formalism and Hidden
BRS Invariance
|
Typos fixed, revised version accepted for publication
|
International Journal of Modern Physics A, Vol. 31 (2016), 1650138
(20 pages)
|
10.1142/S0217751X16501384
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyze the constraints for a system of anti self-dual Yang-Mills (ASDYM)
equations by means of the modified Faddeev-Jackiw method in K and J gauges
\`{a} la Yang. We also establish the Hamiltonian flow for ASDYM system through
the hidden BRS invariance in both the gauges. Finally, we remark on the
bi-Hamiltonian nature of ASDYM and the compatibility of the symplectic
structures therein.
|
[
{
"created": "Wed, 30 Mar 2016 18:15:03 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Aug 2016 16:02:35 GMT",
"version": "v2"
}
] |
2016-08-30
|
[
[
"Gupta",
"Saurabh",
""
],
[
"Roychowdhury",
"Raju",
""
]
] |
We analyze the constraints for a system of anti self-dual Yang-Mills (ASDYM) equations by means of the modified Faddeev-Jackiw method in K and J gauges \`{a} la Yang. We also establish the Hamiltonian flow for ASDYM system through the hidden BRS invariance in both the gauges. Finally, we remark on the bi-Hamiltonian nature of ASDYM and the compatibility of the symplectic structures therein.
|
0910.5222
|
Barak Kol
|
Barak Kol and Michael Smolkin
|
Dressing the Post-Newtonian two-body problem and Classical Effective
Field Theory
|
38 pages, 28 figures. PRD published version, added references
|
Phys.Rev.D80:124044,2009
|
10.1103/PhysRevD.80.124044
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply a dressed perturbation theory to better organize and economize the
computation of high orders of the 2-body effective action of an inspiralling
Post-Newtonian gravitating binary. We use the effective field theory approach
with the non-relativistic field decomposition (NRG fields). For that purpose we
develop quite generally the dressing theory of a non-linear classical field
theory coupled to point-like sources. We introduce dressed charges and
propagators, but unlike the quantum theory there are no dressed bulk vertices.
The dressed quantities are found to obey recursive integral equations which
succinctly encode parts of the diagrammatic expansion, and are the classical
version of the Schwinger-Dyson equations. Actually, the classical equations are
somewhat stronger since they involve only finitely many quantities, unlike the
quantum theory. Classical diagrams are shown to factorize exactly when they
contain non-linear world-line vertices, and we classify all the possible
topologies of irreducible diagrams for low loop numbers. We apply the dressing
program to our Post-Newtonian case of interest. The dressed charges consist of
the dressed energy-momentum tensor after a non-relativistic decomposition, and
we compute all dressed charges (in the harmonic gauge) appearing up to 2PN in
the 2-body effective action (and more). We determine the irreducible skeleton
diagrams up to 3PN and we employ the dressed charges to compute several terms
beyond 2PN.
|
[
{
"created": "Wed, 28 Oct 2009 19:49:29 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2009 20:21:54 GMT",
"version": "v2"
},
{
"created": "Mon, 7 Dec 2009 20:46:04 GMT",
"version": "v3"
}
] |
2010-01-07
|
[
[
"Kol",
"Barak",
""
],
[
"Smolkin",
"Michael",
""
]
] |
We apply a dressed perturbation theory to better organize and economize the computation of high orders of the 2-body effective action of an inspiralling Post-Newtonian gravitating binary. We use the effective field theory approach with the non-relativistic field decomposition (NRG fields). For that purpose we develop quite generally the dressing theory of a non-linear classical field theory coupled to point-like sources. We introduce dressed charges and propagators, but unlike the quantum theory there are no dressed bulk vertices. The dressed quantities are found to obey recursive integral equations which succinctly encode parts of the diagrammatic expansion, and are the classical version of the Schwinger-Dyson equations. Actually, the classical equations are somewhat stronger since they involve only finitely many quantities, unlike the quantum theory. Classical diagrams are shown to factorize exactly when they contain non-linear world-line vertices, and we classify all the possible topologies of irreducible diagrams for low loop numbers. We apply the dressing program to our Post-Newtonian case of interest. The dressed charges consist of the dressed energy-momentum tensor after a non-relativistic decomposition, and we compute all dressed charges (in the harmonic gauge) appearing up to 2PN in the 2-body effective action (and more). We determine the irreducible skeleton diagrams up to 3PN and we employ the dressed charges to compute several terms beyond 2PN.
|
2210.14900
|
Perseas Christodoulidis
|
Perseas Christodoulidis, Robert Rosati
|
(Slow-)Twisting inflationary attractors
|
38 pages, 10 figures. v3: improved figures, minor changes
| null | null | null |
hep-th astro-ph.CO
|
http://creativecommons.org/licenses/by/4.0/
|
We explore in detail the dynamics of multi-field inflationary models. We
first revisit the two-field case and rederive the coordinate independent
expression for the attractor solution with either small or large turn rate,
emphasizing the role of isometries for the existence of rapid-turn solutions.
Then, for three fields in the slow-twist regime we provide elegant expressions
for the attractor solution for generic field-space geometries and potentials
and study the behaviour of first order perturbations. For generic
$\mathcal{N}$-field models, our method quickly grows in algebraic complexity.
We observe that field-space isometries are common in the literature and are
able to obtain the attractor solutions and deduce stability for some isometry
classes of $\mathcal{N}$-field models. Finally, we apply our discussion to
concrete supergravity models. These analyses conclusively demonstrate the
existence of $\mathcal{N}>2$ dynamical attractors distinct from the two-field
case, and provide tools useful for future studies of their phenomenology in the
cosmic microwave background and stochastic gravitational wave spectrum.
|
[
{
"created": "Wed, 26 Oct 2022 17:58:04 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2023 22:24:28 GMT",
"version": "v2"
},
{
"created": "Fri, 10 Nov 2023 16:19:08 GMT",
"version": "v3"
}
] |
2023-11-13
|
[
[
"Christodoulidis",
"Perseas",
""
],
[
"Rosati",
"Robert",
""
]
] |
We explore in detail the dynamics of multi-field inflationary models. We first revisit the two-field case and rederive the coordinate independent expression for the attractor solution with either small or large turn rate, emphasizing the role of isometries for the existence of rapid-turn solutions. Then, for three fields in the slow-twist regime we provide elegant expressions for the attractor solution for generic field-space geometries and potentials and study the behaviour of first order perturbations. For generic $\mathcal{N}$-field models, our method quickly grows in algebraic complexity. We observe that field-space isometries are common in the literature and are able to obtain the attractor solutions and deduce stability for some isometry classes of $\mathcal{N}$-field models. Finally, we apply our discussion to concrete supergravity models. These analyses conclusively demonstrate the existence of $\mathcal{N}>2$ dynamical attractors distinct from the two-field case, and provide tools useful for future studies of their phenomenology in the cosmic microwave background and stochastic gravitational wave spectrum.
|
0708.4321
|
Mizuno Shuntaro
|
Kazuya Koyama, Shuntaro Mizuno, Filippo Vernizzi, David Wands
|
Non-Gaussianities from ekpyrotic collapse with multiple fields
|
22 pages, 1figure, version revised after journal publication: sign
error corrected in the value of non-linear parameter, fNL. The resulting fNL
is large and negative and thus in conflict with current observational bounds
|
JCAP 0711:024,2007
|
10.1088/1475-7516/2007/11/024
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the non-Gaussianity of the curvature perturbation generated by
ekpyrotic collapse with multiple fields. The transition from the multi-field
scaling solution to a single-field dominated regime converts initial
isocurvature field perturbations to an almost scale-invariant comoving
curvature perturbation. In the specific model of two fields, $\phi_1$ and
$\phi_2$, with exponential potentials, $-V_i \exp (-c_i \phi_i)$, we calculate
the bispectrum of the resulting curvature perturbation. We find that the
non-Gaussianity is dominated by non-linear evolution on super-Hubble scales and
hence is of the local form. The non-linear parameter of the curvature
perturbation is given by $f_{NL} = 5 c_j^2 /12$, where $c_j$ is the exponent of
the potential for the field which becomes sub-dominant at late times. Since
$c_j^2$ must be large, in order to generate an almost scale invariant spectrum,
the non-Gaussianity is inevitably large. By combining the present observational
constraints on $f_{\rm NL}$ and the scalar spectral index, the specific model
studied in this paper is thus ruled out by current observational data.
|
[
{
"created": "Fri, 31 Aug 2007 12:28:57 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Nov 2007 10:02:22 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Apr 2009 11:50:03 GMT",
"version": "v3"
}
] |
2009-04-29
|
[
[
"Koyama",
"Kazuya",
""
],
[
"Mizuno",
"Shuntaro",
""
],
[
"Vernizzi",
"Filippo",
""
],
[
"Wands",
"David",
""
]
] |
We compute the non-Gaussianity of the curvature perturbation generated by ekpyrotic collapse with multiple fields. The transition from the multi-field scaling solution to a single-field dominated regime converts initial isocurvature field perturbations to an almost scale-invariant comoving curvature perturbation. In the specific model of two fields, $\phi_1$ and $\phi_2$, with exponential potentials, $-V_i \exp (-c_i \phi_i)$, we calculate the bispectrum of the resulting curvature perturbation. We find that the non-Gaussianity is dominated by non-linear evolution on super-Hubble scales and hence is of the local form. The non-linear parameter of the curvature perturbation is given by $f_{NL} = 5 c_j^2 /12$, where $c_j$ is the exponent of the potential for the field which becomes sub-dominant at late times. Since $c_j^2$ must be large, in order to generate an almost scale invariant spectrum, the non-Gaussianity is inevitably large. By combining the present observational constraints on $f_{\rm NL}$ and the scalar spectral index, the specific model studied in this paper is thus ruled out by current observational data.
|
1702.03958
|
Sebastian Franco
|
Sebastian Franco, Yang-Hui He, Chuang Sun, Yan Xiao
|
A Comprehensive Survey of Brane Tilings
|
39 pages. Link to Mathematica modules provided
| null |
10.1142/S0217751X17501421
| null |
hep-th math-ph math.AG math.CO math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An infinite class of $4d$ $\mathcal{N}=1$ gauge theories can be engineered on
the worldvolume of D3-branes probing toric Calabi-Yau 3-folds. This kind of
setup has multiple applications, ranging from the gauge/gravity correspondence
to local model building in string phenomenology. Brane tilings fully encode the
gauge theories on the D3-branes and have substantially simplified their
connection to the probed geometries. The purpose of this paper is to push the
boundaries of computation and to produce as comprehensive a database of brane
tilings as possible. We develop efficient implementations of brane tiling tools
particularly suited for this search. We present the first complete
classification of toric Calabi-Yau 3-folds with toric diagrams up to area 8 and
the corresponding brane tilings. This classification is of interest to both
physicists and mathematicians alike.
|
[
{
"created": "Mon, 13 Feb 2017 19:30:19 GMT",
"version": "v1"
}
] |
2017-09-13
|
[
[
"Franco",
"Sebastian",
""
],
[
"He",
"Yang-Hui",
""
],
[
"Sun",
"Chuang",
""
],
[
"Xiao",
"Yan",
""
]
] |
An infinite class of $4d$ $\mathcal{N}=1$ gauge theories can be engineered on the worldvolume of D3-branes probing toric Calabi-Yau 3-folds. This kind of setup has multiple applications, ranging from the gauge/gravity correspondence to local model building in string phenomenology. Brane tilings fully encode the gauge theories on the D3-branes and have substantially simplified their connection to the probed geometries. The purpose of this paper is to push the boundaries of computation and to produce as comprehensive a database of brane tilings as possible. We develop efficient implementations of brane tiling tools particularly suited for this search. We present the first complete classification of toric Calabi-Yau 3-folds with toric diagrams up to area 8 and the corresponding brane tilings. This classification is of interest to both physicists and mathematicians alike.
|
0704.3442
|
Oleg Lunin
|
Oleg Lunin
|
1/2-BPS states in M theory and defects in the dual CFTs
|
82 pages, 12 figures, added refs
|
JHEP0710:014,2007
|
10.1088/1126-6708/2007/10/014
|
EFI-07-12
|
hep-th
| null |
We study supersymmetric branes in AdS_7 x S^4 and AdS_4 x S^7. We show that
in the former case the membranes should be viewed as M5 branes with fluxes and
we identify two types of such fivebranes (they are analogous to giant gravitons
and to dual giants). In AdS_4 x S^7 we find both M5 branes with fluxes and
freestanding stacks of membranes. We also go beyond probe approximation and
construct regular supergravity solutions describing geometries produced by the
branes. The metrics are completely specified by one function which satisfies
either Laplace or Toda equation and we give a complete classification of
boundary conditions leading to smooth geometries. The brane configurations
discussed in this paper are dual to various defects in three- and
six-dimensional conformal field theories.
|
[
{
"created": "Wed, 25 Apr 2007 20:17:31 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Jul 2007 00:18:50 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Lunin",
"Oleg",
""
]
] |
We study supersymmetric branes in AdS_7 x S^4 and AdS_4 x S^7. We show that in the former case the membranes should be viewed as M5 branes with fluxes and we identify two types of such fivebranes (they are analogous to giant gravitons and to dual giants). In AdS_4 x S^7 we find both M5 branes with fluxes and freestanding stacks of membranes. We also go beyond probe approximation and construct regular supergravity solutions describing geometries produced by the branes. The metrics are completely specified by one function which satisfies either Laplace or Toda equation and we give a complete classification of boundary conditions leading to smooth geometries. The brane configurations discussed in this paper are dual to various defects in three- and six-dimensional conformal field theories.
|
2112.07603
|
Fabrizio Nieri
|
Fabrizio Nieri
|
Defects at the Intersection: the Supergroup Side
|
v1: Prepared for the Proceedings of the 14-th International Workshop
"Lie Theory and Its Applications in Physics" (LT-14), 21-25 June 2021, Sofia,
Bulgaria. Based on arXiv:2105.02776[hep-th], it contains some original
computations in the last section. 12pp; v2: Published version, new references
added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider two seemingly different theories in the $\Omega$-background: one
arises upon the most generic Higgsing of a 5d $\mathcal{N}=1$ $\text{U}(N)$
gauge theory coupled to matter, yielding a 3d-1d intersecting defect; the other
one arises upon simple Higgsing of a 5d $\mathcal{N}=1$ $\text{U}(N|M)$
supergroup gauge theory coupled to super-matter, yielding another defect. The
cases $N=M=1$ are discussed in detail via equivariant localization to
matrix-like models. The first theory exhibits itself a supergroup-like
structure, which can be motivated via non-perturbative string dualities, and in
a matter decoupling limit it is argued to be dual to a supergroup version of
refined Chern-Simons theory. Furthermore, it is observed that the partition
functions of the two defect theories are related by analytic continuation in
one of the equivariant parameters. We find a common origin in the algebraic
engineering through $q$-Virasoro screening currents. Another simple Higgsing of
the 5d $\mathcal{N}=1$ $\text{U}(1|1)$ yields a single component defect whose
partition function is reminiscent of ordinary refined Chern-Simons on a lens
space.
|
[
{
"created": "Tue, 14 Dec 2021 17:53:04 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jan 2022 20:49:01 GMT",
"version": "v2"
}
] |
2022-01-17
|
[
[
"Nieri",
"Fabrizio",
""
]
] |
We consider two seemingly different theories in the $\Omega$-background: one arises upon the most generic Higgsing of a 5d $\mathcal{N}=1$ $\text{U}(N)$ gauge theory coupled to matter, yielding a 3d-1d intersecting defect; the other one arises upon simple Higgsing of a 5d $\mathcal{N}=1$ $\text{U}(N|M)$ supergroup gauge theory coupled to super-matter, yielding another defect. The cases $N=M=1$ are discussed in detail via equivariant localization to matrix-like models. The first theory exhibits itself a supergroup-like structure, which can be motivated via non-perturbative string dualities, and in a matter decoupling limit it is argued to be dual to a supergroup version of refined Chern-Simons theory. Furthermore, it is observed that the partition functions of the two defect theories are related by analytic continuation in one of the equivariant parameters. We find a common origin in the algebraic engineering through $q$-Virasoro screening currents. Another simple Higgsing of the 5d $\mathcal{N}=1$ $\text{U}(1|1)$ yields a single component defect whose partition function is reminiscent of ordinary refined Chern-Simons on a lens space.
|
2405.09833
|
Victor Godet
|
Victor Godet
|
Quantum cosmology as automorphic dynamics
|
42 pages, v2: minor typos fixed, references added
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit pure quantum cosmology in three dimensions. The Wheeler-DeWitt
equation can be solved perturbatively and the dynamics reduces to a particle on
moduli space. Its time evolution is equivalent to the $T\overline{T}$
deformation. Focusing on spacetimes with torus slices, we show that
inflationary cosmologies correspond to particle trajectories in Artin's
billiard. The resulting automorphic dynamics is developed both from a first and
second quantized perspectives. Our main application is to give an
interpretation for the Hartle-Hawking state which is here the analytic
continuation of the Maloney-Witten partition function. We obtain its spectral
decomposition and an exact representation as an average involving the M\"obius
function.
|
[
{
"created": "Thu, 16 May 2024 06:14:49 GMT",
"version": "v1"
},
{
"created": "Mon, 20 May 2024 17:22:54 GMT",
"version": "v2"
}
] |
2024-05-21
|
[
[
"Godet",
"Victor",
""
]
] |
We revisit pure quantum cosmology in three dimensions. The Wheeler-DeWitt equation can be solved perturbatively and the dynamics reduces to a particle on moduli space. Its time evolution is equivalent to the $T\overline{T}$ deformation. Focusing on spacetimes with torus slices, we show that inflationary cosmologies correspond to particle trajectories in Artin's billiard. The resulting automorphic dynamics is developed both from a first and second quantized perspectives. Our main application is to give an interpretation for the Hartle-Hawking state which is here the analytic continuation of the Maloney-Witten partition function. We obtain its spectral decomposition and an exact representation as an average involving the M\"obius function.
|
1401.6902
|
Andre Lehum
|
L. Ibiapina Bevilaqua, A. C. Lehum
|
Noncommutative ${\cal N}=2$ Chern-Simons-matter model
|
17 pages, 2 figures
|
Phys.Rev. D89 (2014) 045014
|
10.1103/PhysRevD.89.045014
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we study the three-dimensional ${\cal N}=2$ supersymmetric
Chern-Simons-matter model in a noncommutative space-time. We construct the
action of the noncommutative $U(N)$ non-Abelian model in terms of explicit
${\cal N}=2$ supervariables by dimensionally reducing a four-dimensional ${\cal
N}=1$ supermultiplet. We also obtain the on-shell ${\cal N}=2$ supersymmetric
model writing it in terms of ${\cal N}=1$ superfields. In the noncommutative
Abelian case, we show that linear UV divergences are cancelled in Feynman
diagrams and logarithmic divergences are absent up to one-loop order, stating
that our model is free of UV/IR mixing.
|
[
{
"created": "Mon, 27 Jan 2014 15:53:40 GMT",
"version": "v1"
}
] |
2014-02-27
|
[
[
"Bevilaqua",
"L. Ibiapina",
""
],
[
"Lehum",
"A. C.",
""
]
] |
In this work we study the three-dimensional ${\cal N}=2$ supersymmetric Chern-Simons-matter model in a noncommutative space-time. We construct the action of the noncommutative $U(N)$ non-Abelian model in terms of explicit ${\cal N}=2$ supervariables by dimensionally reducing a four-dimensional ${\cal N}=1$ supermultiplet. We also obtain the on-shell ${\cal N}=2$ supersymmetric model writing it in terms of ${\cal N}=1$ superfields. In the noncommutative Abelian case, we show that linear UV divergences are cancelled in Feynman diagrams and logarithmic divergences are absent up to one-loop order, stating that our model is free of UV/IR mixing.
|
hep-th/0403201
|
Denis Bashkirov
|
D.Bashkirov
|
BV quantization of a generic degenerate quadratic lagrangian
|
8 pages
| null | null | null |
hep-th
| null |
Generalizing the Yang-Mills gauge theory, we provide the BV quantization of a
field model with a generic almost-regular quadratic Lagrangian by use of the
fact that the configuration space of such a field model is split into the
gauge-invariant and gauge-fixing parts.
|
[
{
"created": "Sat, 20 Mar 2004 17:08:08 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bashkirov",
"D.",
""
]
] |
Generalizing the Yang-Mills gauge theory, we provide the BV quantization of a field model with a generic almost-regular quadratic Lagrangian by use of the fact that the configuration space of such a field model is split into the gauge-invariant and gauge-fixing parts.
|
hep-th/9705022
|
Ilka Brunner
|
Ilka Brunner and Andreas Karch
|
Branes and Six Dimensional Fixed Points
|
13 pages, LaTeX2e, using utarticle.cls (included), One reference
added
|
Phys.Lett. B409 (1997) 109-116
|
10.1016/S0370-2693(97)00935-0
|
HUB-EP-97/27
|
hep-th
| null |
We analyze brane configurations corresponding to non-trivial six dimensional
fixed points. Several results previously obtained from a pure field theoretical
analysis are rederived in the brane language.
|
[
{
"created": "Mon, 5 May 1997 15:28:20 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Jul 1997 15:40:22 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Brunner",
"Ilka",
""
],
[
"Karch",
"Andreas",
""
]
] |
We analyze brane configurations corresponding to non-trivial six dimensional fixed points. Several results previously obtained from a pure field theoretical analysis are rederived in the brane language.
|
hep-th/0503183
|
James Sparks
|
Dario Martelli, James Sparks, Shing-Tung Yau
|
The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
|
35 pages, 4 figures; v2 minor changes; v3 typos corrected, eqn 2.60
removed, published version
|
Commun.Math.Phys.268:39-65,2006
|
10.1007/s00220-006-0087-0
|
CERN-PH-TH/2005-047, HUTP-05/A0012
|
hep-th math.DG
| null |
We show that the Reeb vector, and hence in particular the volume, of a
Sasaki-Einstein metric on the base of a toric Calabi-Yau cone of complex
dimension n may be computed by minimising a function Z on R^n which depends
only on the toric data that defines the singularity. In this way one can
extract certain geometric information for a toric Sasaki-Einstein manifold
without finding the metric explicitly. For complex dimension n=3 the Reeb
vector and the volume correspond to the R-symmetry and the a central charge of
the AdS/CFT dual superconformal field theory, respectively. We therefore
interpret this extremal problem as the geometric dual of a-maximisation. We
illustrate our results with some examples, including the Y^{p,q} singularities
and the complex cone over the second del Pezzo surface.
|
[
{
"created": "Thu, 24 Mar 2005 17:31:09 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Jul 2005 13:32:08 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Aug 2006 16:30:31 GMT",
"version": "v3"
}
] |
2011-05-05
|
[
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
],
[
"Yau",
"Shing-Tung",
""
]
] |
We show that the Reeb vector, and hence in particular the volume, of a Sasaki-Einstein metric on the base of a toric Calabi-Yau cone of complex dimension n may be computed by minimising a function Z on R^n which depends only on the toric data that defines the singularity. In this way one can extract certain geometric information for a toric Sasaki-Einstein manifold without finding the metric explicitly. For complex dimension n=3 the Reeb vector and the volume correspond to the R-symmetry and the a central charge of the AdS/CFT dual superconformal field theory, respectively. We therefore interpret this extremal problem as the geometric dual of a-maximisation. We illustrate our results with some examples, including the Y^{p,q} singularities and the complex cone over the second del Pezzo surface.
|
1007.5145
|
Joseph Conlon
|
Joseph P. Conlon, Mark Goodsell, Eran Palti
|
One-loop Yukawa Couplings in Local Models
|
37 pages, 3 figures
|
JHEP 1011:087,2010
|
10.1007/JHEP11(2010)087
|
CPHT-RR054.0710, OUTP-10/16P, DESY 10-115
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We calculate the one-loop Yukawa couplings and threshold corrections for
supersymmetric local models of branes at singularities in type IIB string
theory. We compute the corrections coming both from wavefunction and vertex
renormalisation. The former comes in the IR from conventional field theory
running and in the UV from threshold corrections that cause it to run from the
winding scale associated to the full Calabi-Yau volume. The vertex correction
is naively absent as it appears to correspond to superpotential
renormalisation. However, we find that while the Wilsonian superpotential is
not renormalised there is a physical vertex correction in the 1PI action
associated to light particle loops.
|
[
{
"created": "Thu, 29 Jul 2010 08:31:03 GMT",
"version": "v1"
}
] |
2010-11-23
|
[
[
"Conlon",
"Joseph P.",
""
],
[
"Goodsell",
"Mark",
""
],
[
"Palti",
"Eran",
""
]
] |
We calculate the one-loop Yukawa couplings and threshold corrections for supersymmetric local models of branes at singularities in type IIB string theory. We compute the corrections coming both from wavefunction and vertex renormalisation. The former comes in the IR from conventional field theory running and in the UV from threshold corrections that cause it to run from the winding scale associated to the full Calabi-Yau volume. The vertex correction is naively absent as it appears to correspond to superpotential renormalisation. However, we find that while the Wilsonian superpotential is not renormalised there is a physical vertex correction in the 1PI action associated to light particle loops.
|
1811.12367
|
Arash Arabi Ardehali
|
Arash Arabi Ardehali, Finn Larsen, James T. Liu, and Phillip
Szepietowski
|
Quantum Corrections to Central Charges and Supersymmetric Casimir Energy
in AdS$_3$/CFT$_2$
|
27+14 pages; v2: minor improvements and added references
|
JHEP07 (2019) 071
|
10.1007/JHEP07(2019)071
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the Casimir energy of bulk fields in AdS$_3$ and its relation to
subleading terms in the central charge of the dual CFT$_2$. Computing both
sides of the standard CFT$_2$ relation $E=-c/12$ independently we show that
this relation is not necessarily satisfied at the level of individual bulk
supergravity states, but in theories with sufficient supersymmetry it is
restored at the level of bulk supermultiplets. Assuming only $(0,2)$
supersymmetry (or more), we improve the situation by relating quantum
corrections to the central charge and the supersymmetric Casimir energy which
in turn is related to an index. These relations adapt recent progress on the
AdS$_5$/CFT$_4$ correspondence to AdS$_3$/CFT$_2$ holography. We test our
formula successfully in several examples, including the $(0,4)$ MSW theory
describing classes of 4D black holes and the large $(4,4)$ theory that is
interesting for higher spin holography. We also make predictions for the
subleading central charges in several recently proposed $(2,2)$ dualities where
the CFT$_2$ is not yet well-understood.
|
[
{
"created": "Thu, 29 Nov 2018 18:24:42 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2019 12:37:08 GMT",
"version": "v2"
}
] |
2019-07-22
|
[
[
"Ardehali",
"Arash Arabi",
""
],
[
"Larsen",
"Finn",
""
],
[
"Liu",
"James T.",
""
],
[
"Szepietowski",
"Phillip",
""
]
] |
We study the Casimir energy of bulk fields in AdS$_3$ and its relation to subleading terms in the central charge of the dual CFT$_2$. Computing both sides of the standard CFT$_2$ relation $E=-c/12$ independently we show that this relation is not necessarily satisfied at the level of individual bulk supergravity states, but in theories with sufficient supersymmetry it is restored at the level of bulk supermultiplets. Assuming only $(0,2)$ supersymmetry (or more), we improve the situation by relating quantum corrections to the central charge and the supersymmetric Casimir energy which in turn is related to an index. These relations adapt recent progress on the AdS$_5$/CFT$_4$ correspondence to AdS$_3$/CFT$_2$ holography. We test our formula successfully in several examples, including the $(0,4)$ MSW theory describing classes of 4D black holes and the large $(4,4)$ theory that is interesting for higher spin holography. We also make predictions for the subleading central charges in several recently proposed $(2,2)$ dualities where the CFT$_2$ is not yet well-understood.
|
hep-th/9109038
| null |
S. F. Hassan and Ashoke Sen
|
Twisting Classical Solutions in Heterotic String Theory
|
20 pages
|
Nucl.Phys.B375:103-118,1992
|
10.1016/0550-3213(92)90336-A
| null |
hep-th
| null |
We show that, given a classical solution of the heterotic string theory which
is independent of $d$ of the space time directions, and for which the gauge
field configuration lies in a subgroup that commutes with $p$ of the $U(1)$
generators of the gauge group, there is an $O(d)\otimes O(d+p)$ transformation,
which, acting on the solution, generates new classical solutions of the theory.
With the help of these transformations we construct black 6-brane solutions in
ten dimensional heterotic string theory carrying independent magnetic, electric
and antisymmetric tensor gauge field charge, by starting from a black 6-brane
solution that carries magnetic charge but no electric or antisymmetric tensor
gauge field charge. The electric and the magnetic charges point in different
directions in the gauge group.
|
[
{
"created": "Fri, 20 Sep 1991 23:19:00 GMT",
"version": "v1"
}
] |
2009-09-15
|
[
[
"Hassan",
"S. F.",
""
],
[
"Sen",
"Ashoke",
""
]
] |
We show that, given a classical solution of the heterotic string theory which is independent of $d$ of the space time directions, and for which the gauge field configuration lies in a subgroup that commutes with $p$ of the $U(1)$ generators of the gauge group, there is an $O(d)\otimes O(d+p)$ transformation, which, acting on the solution, generates new classical solutions of the theory. With the help of these transformations we construct black 6-brane solutions in ten dimensional heterotic string theory carrying independent magnetic, electric and antisymmetric tensor gauge field charge, by starting from a black 6-brane solution that carries magnetic charge but no electric or antisymmetric tensor gauge field charge. The electric and the magnetic charges point in different directions in the gauge group.
|
hep-th/9808035
|
Djordje Minic
|
D. Minic
|
On the Space-Time Uncertainty Principle and Holography
|
15 pages, plain TeX
|
Phys.Lett. B442 (1998) 102-108
|
10.1016/S0370-2693(98)01203-9
| null |
hep-th
| null |
In this note further evidence is collected in support of the claim that the
space-time uncertainty principle implies holography, both within the context of
Matrix Theory and the framework of the proposed duality between certain
conformal field theories and M-theory/string theory on AdS backgrounds.
|
[
{
"created": "Thu, 6 Aug 1998 20:36:57 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Minic",
"D.",
""
]
] |
In this note further evidence is collected in support of the claim that the space-time uncertainty principle implies holography, both within the context of Matrix Theory and the framework of the proposed duality between certain conformal field theories and M-theory/string theory on AdS backgrounds.
|
1505.02122
|
Roberto Zucchini
|
Roberto Zucchini
|
On higher holonomy invariants in higher gauge theory II
|
Latex, 34 pages, no figures
| null |
10.1142/S0219887816500912
|
DIFA 15
|
hep-th math-ph math.DG math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This is the second of a series of two technical papers devoted to the
analysis of holonomy invariants in strict higher gauge theory with end
applications in higher Chern--Simons theory. We provide a definition of trace
over a crossed module such to yield surface knot invariants upon application to
2-holonomies. We show further that the properties of the trace are best
described using the theory quandle crossed modules.
|
[
{
"created": "Fri, 8 May 2015 18:28:26 GMT",
"version": "v1"
}
] |
2016-08-17
|
[
[
"Zucchini",
"Roberto",
""
]
] |
This is the second of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern--Simons theory. We provide a definition of trace over a crossed module such to yield surface knot invariants upon application to 2-holonomies. We show further that the properties of the trace are best described using the theory quandle crossed modules.
|
hep-th/9405098
|
Gustavo DaCosta
|
G.A.F.T. da Costa
|
Yang-Baxterization of the BH algebra
|
6 pages, Latex, DIAS STP 94-18
| null | null | null |
hep-th
| null |
The BH algebra is defined by two sets of generators one of which satisfy the
relations of the braid group and the other the relations of the Hecke algebra
of projectors.These algebras are then combined by additional relations in a way
which generalizes the Birman-Wenzl algebra.In this paper we Yang-Baxterize the
algebra BH and compute solutions of the Yang-Baxter equation.The solutions
found are expressed algebraically in terms of the generators of the algebra.The
expression generalizes the known one for the Birman-Wenzl algebra.
|
[
{
"created": "Mon, 16 May 1994 11:43:56 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"da Costa",
"G. A. F. T.",
""
]
] |
The BH algebra is defined by two sets of generators one of which satisfy the relations of the braid group and the other the relations of the Hecke algebra of projectors.These algebras are then combined by additional relations in a way which generalizes the Birman-Wenzl algebra.In this paper we Yang-Baxterize the algebra BH and compute solutions of the Yang-Baxter equation.The solutions found are expressed algebraically in terms of the generators of the algebra.The expression generalizes the known one for the Birman-Wenzl algebra.
|
1903.06501
|
Jan Troost
|
Songyuan Li, Nicolaos Toumbas, Jan Troost
|
Liouville Quantum Gravity
|
26 pages, journal version
| null |
10.1016/j.nuclphysb.2019.114913
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We define a three-dimensional quantum theory of gravity as the holographic
dual of the Liouville conformal field theory. The theory is consistent and
unitary by definition. The corresponding theory of gravity with negative
cosmological constant has peculiar properties. The quantum theory has no
normalisable AdS3 vacuum. The model contains primary black holes with zero
spin. All states can be interpreted as black holes dressed with boundary
gravitons. There is a unique universal interaction between these states
consistent with unitarity and the conformal symmetry of the model. This theory
of gravity, though conceptually isolated from other models of quantum gravity,
is worth scrutinising.
|
[
{
"created": "Fri, 15 Mar 2019 12:49:05 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Jan 2020 13:05:47 GMT",
"version": "v2"
}
] |
2020-02-19
|
[
[
"Li",
"Songyuan",
""
],
[
"Toumbas",
"Nicolaos",
""
],
[
"Troost",
"Jan",
""
]
] |
We define a three-dimensional quantum theory of gravity as the holographic dual of the Liouville conformal field theory. The theory is consistent and unitary by definition. The corresponding theory of gravity with negative cosmological constant has peculiar properties. The quantum theory has no normalisable AdS3 vacuum. The model contains primary black holes with zero spin. All states can be interpreted as black holes dressed with boundary gravitons. There is a unique universal interaction between these states consistent with unitarity and the conformal symmetry of the model. This theory of gravity, though conceptually isolated from other models of quantum gravity, is worth scrutinising.
|
hep-th/9809058
|
Yasuhiro Fujii
|
Yasuhiro Fujii and Miki Wadati
|
Finite Size Formula in the XYZ Spin Chain
|
14pages, LaTeX2e file, uses psfrag
| null | null | null |
hep-th cond-mat math.QA nlin.SI solv-int
| null |
The XYZ spin chain with boundaries is studied. We construct the vacuum state
by the vertex operators in the level one modules of the elliptic algebra, and
compact it through a geometric symmetry of the model called the turning
symmetry. From this simplified expression the ``finite size formula'' for
magnetizations in the bounded and in the half-infinite chains is deduced.
Applying this formula we calculate the spontaneous magnetization in the bounded
XYZ model.
|
[
{
"created": "Wed, 9 Sep 1998 06:01:16 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Fujii",
"Yasuhiro",
""
],
[
"Wadati",
"Miki",
""
]
] |
The XYZ spin chain with boundaries is studied. We construct the vacuum state by the vertex operators in the level one modules of the elliptic algebra, and compact it through a geometric symmetry of the model called the turning symmetry. From this simplified expression the ``finite size formula'' for magnetizations in the bounded and in the half-infinite chains is deduced. Applying this formula we calculate the spontaneous magnetization in the bounded XYZ model.
|
0910.1917
|
Mu-In Park
|
Mu-in Park
|
Remarks on the Scalar Graviton Decoupling and Consistency of Horava
Gravity
|
Some clarifications regarding the projectable case added, Typos
corrected, Comments (Footnote No.9, Note Added) added, References updated,
Accepted in CQG
|
Class.Quant.Grav.28:015004,2011
|
10.1088/0264-9381/28/1/015004
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently Horava proposed a renormalizable gravity theory with higher
derivatives by abandoning the Lorenz invariance in UV. But there have been
confusions regarding the extra scalar graviton mode and the consistency of the
Horava model. I reconsider these problems and show that, in the Minkowski
vacuum background, the scalar graviton mode can be consistency decoupled from
the usual tensor graviton modes by imposing the (local) Hamiltonian as well as
the momentum constraints.
|
[
{
"created": "Sat, 10 Oct 2009 12:35:48 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Oct 2009 08:43:36 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Nov 2009 07:55:49 GMT",
"version": "v3"
},
{
"created": "Wed, 17 Nov 2010 01:18:18 GMT",
"version": "v4"
}
] |
2010-12-17
|
[
[
"Park",
"Mu-in",
""
]
] |
Recently Horava proposed a renormalizable gravity theory with higher derivatives by abandoning the Lorenz invariance in UV. But there have been confusions regarding the extra scalar graviton mode and the consistency of the Horava model. I reconsider these problems and show that, in the Minkowski vacuum background, the scalar graviton mode can be consistency decoupled from the usual tensor graviton modes by imposing the (local) Hamiltonian as well as the momentum constraints.
|
hep-th/0311214
|
Dmitri Vassilevich
|
D. V. Vassilevich, A. Yurov
|
Space-time non-commutativity tends to create bound states
|
revtex4, 6 pages, v2: a reference added
|
Phys.Rev. D69 (2004) 105006
|
10.1103/PhysRevD.69.105006
| null |
hep-th
| null |
We study the spectrum of fluctuations about static solutions in 1+1
dimensional non-commutative scalar field models. In the case of soliton
solutions non-commutativity leads to creation of new bound states. In the case
of static singular solutions an infinite tower of bound states is produced
whose spectrum has a striking similarity to the spectrum of confined quark
states.
|
[
{
"created": "Sat, 22 Nov 2003 18:07:09 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Nov 2003 16:23:06 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Vassilevich",
"D. V.",
""
],
[
"Yurov",
"A.",
""
]
] |
We study the spectrum of fluctuations about static solutions in 1+1 dimensional non-commutative scalar field models. In the case of soliton solutions non-commutativity leads to creation of new bound states. In the case of static singular solutions an infinite tower of bound states is produced whose spectrum has a striking similarity to the spectrum of confined quark states.
|
hep-th/9712243
|
Bratchikov
|
A.V.Bratchikov
|
$g/u(1)^d$ parafermions from constrained WZNW theories
|
14 pages,latex,misprints in formulas 26,40,45 corrected,a reference
added
|
J.Phys.A33:5183-5192,2000
|
10.1088/0305-4470/33/29/303
| null |
hep-th math.QA
| null |
The conformal field theory based on the $g/u(1)^d$ coset construction is
treated as the WZNW theory for the affine Lie algebra $\hat g$ with the
constrained $\hat u(1)^d$ subalgebra.Using a modification of the generalized
canonical quantization method generators and primary fields of an extended
symmetry algebra are found for arbitrary d.
|
[
{
"created": "Mon, 29 Dec 1997 09:08:54 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jul 1998 09:16:49 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Bratchikov",
"A. V.",
""
]
] |
The conformal field theory based on the $g/u(1)^d$ coset construction is treated as the WZNW theory for the affine Lie algebra $\hat g$ with the constrained $\hat u(1)^d$ subalgebra.Using a modification of the generalized canonical quantization method generators and primary fields of an extended symmetry algebra are found for arbitrary d.
|
hep-th/9609199
|
Grigore Dan
|
Dan Radu Grigore
|
Trivial Second-Order Lagrangians in Classial Field Theory
|
27 pages, LATEX
|
Fortsch.Phys. 47 (1999) 913-936
| null | null |
hep-th
| null |
Trivial second-order Lagrangians are studied and a complete description of
the dependence on the second-order derivatives is given. This extends previous
work of Olver and others. In particular, this description involves some
polynomial expressions called hyper-Jacobians. There exists some linear
dependencies between these polynomials which are elucidated for the
(second-order) hyper-Jacobians.
|
[
{
"created": "Wed, 25 Sep 1996 11:59:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Grigore",
"Dan Radu",
""
]
] |
Trivial second-order Lagrangians are studied and a complete description of the dependence on the second-order derivatives is given. This extends previous work of Olver and others. In particular, this description involves some polynomial expressions called hyper-Jacobians. There exists some linear dependencies between these polynomials which are elucidated for the (second-order) hyper-Jacobians.
|
1411.1610
|
Taishi Katsuragawa
|
Taishi Katsuragawa, Shin'ichi Nojiri
|
Stability and Anti-evaporation of the Schwarzschild-de Sitter Black
Holes in Bigravity
|
9 pages, 1 figure
|
Phys. Rev. D 91, 084001 (2015)
|
10.1103/PhysRevD.91.084001
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the stability under the perturbation and the related
anti-evaporation of the Nariai space-time in bigravity. If we impose specific
condition for the solutions and parameters, we obtain asymptotically de Sitter
space-time, and show the existence of the Nariai space-time as a background
solution. Considering the perturbation around the Nariai space-time up to first
order, we investigate the behavior of black hole horizon. We show that the
anti-evaporation does not occur on the classical level in the bigravity.
|
[
{
"created": "Thu, 6 Nov 2014 13:43:33 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Nov 2014 08:05:47 GMT",
"version": "v2"
}
] |
2015-04-08
|
[
[
"Katsuragawa",
"Taishi",
""
],
[
"Nojiri",
"Shin'ichi",
""
]
] |
We study the stability under the perturbation and the related anti-evaporation of the Nariai space-time in bigravity. If we impose specific condition for the solutions and parameters, we obtain asymptotically de Sitter space-time, and show the existence of the Nariai space-time as a background solution. Considering the perturbation around the Nariai space-time up to first order, we investigate the behavior of black hole horizon. We show that the anti-evaporation does not occur on the classical level in the bigravity.
|
1908.01278
|
Andrei Mironov
|
A. Mironov, A. Morozov, Z. Zakirova
|
Discrete Painleve equation, Miwa variables, and string equation in 5d
matrix models
|
13 pages
|
JHEP, 2019 (2019) 227
|
10.1007/JHEP10(2019)227
|
FIAN/TD-16/19; IITP/TH-23/19; ITEP/TH-15/19; MIPT/TH-13/19
|
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The modern version of conformal matrix model (CMM) describes conformal blocks
in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant
representation and becomes a Toda chain $\tau$-function only after a peculiar
Fourier transform in internal dimensions. Moreover, in CMM Hirota equations
arise in a peculiar discrete form (when the couplings of CMM are actually Miwa
time-variables). Instead, this integrability property is actually independent
on the measure in the original hypergeometric integral. To get hypergeometric
functions, one needs to pick up a very special $\tau$-function satisfying an
additional "string equation". Usually, its role is played by the lowest
$L_{-1}$ Virasoro constraint, but, in the Miwa variables, it turns into a
finite-difference equation with respect to the Miwa variables. One can get rid
of these differences by rewriting the string equation in terms of some double
ratios of the shifted $\tau$-functions, and then these ratios satisfy more
sophisticated equations equivalent to the discrete Painlev\'e equations by M.
Jimbo and H. Sakai ($q$-PVI equation). They look much simpler in the
$q$-deformed ($"5d"$) matrix model, while in the "continuous" limit
$q\longrightarrow 1$ to $4d$ one should consider the Miwa variables with
non-unit multiplicities, what finally converts the simple discrete Painlev\'e
$q$-PVI into sophisticated differential Painlev\'e VI equations, which will be
considered elsewhere.
|
[
{
"created": "Sun, 4 Aug 2019 06:24:53 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Sep 2019 14:37:39 GMT",
"version": "v2"
}
] |
2019-10-30
|
[
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
],
[
"Zakirova",
"Z.",
""
]
] |
The modern version of conformal matrix model (CMM) describes conformal blocks in the Dijkgraaf-Vafa phase. Therefore it possesses a determinant representation and becomes a Toda chain $\tau$-function only after a peculiar Fourier transform in internal dimensions. Moreover, in CMM Hirota equations arise in a peculiar discrete form (when the couplings of CMM are actually Miwa time-variables). Instead, this integrability property is actually independent on the measure in the original hypergeometric integral. To get hypergeometric functions, one needs to pick up a very special $\tau$-function satisfying an additional "string equation". Usually, its role is played by the lowest $L_{-1}$ Virasoro constraint, but, in the Miwa variables, it turns into a finite-difference equation with respect to the Miwa variables. One can get rid of these differences by rewriting the string equation in terms of some double ratios of the shifted $\tau$-functions, and then these ratios satisfy more sophisticated equations equivalent to the discrete Painlev\'e equations by M. Jimbo and H. Sakai ($q$-PVI equation). They look much simpler in the $q$-deformed ($"5d"$) matrix model, while in the "continuous" limit $q\longrightarrow 1$ to $4d$ one should consider the Miwa variables with non-unit multiplicities, what finally converts the simple discrete Painlev\'e $q$-PVI into sophisticated differential Painlev\'e VI equations, which will be considered elsewhere.
|
hep-th/0001083
|
Boris Pioline
|
E. Kiritsis, N.A. Obers and B. Pioline
|
Heterotic/Type II Triality and Instantons on $K_3$
|
52 pages, uses JHEP.cls; v2: minor corrections and 2 refs added.
Final version for JHEP
|
JHEP 0001 (2000) 029
|
10.1088/1126-6708/2000/01/029
|
NBI-HE-99-53, NORDITA-1999/79 HE, HUTP-99/A069, LPTHE-99-49
|
hep-th
| null |
A detailed understanding of instanton effects for half-BPS couplings is
pursued in theories with 16 supersymmetries. In particular, we investigate the
duality between heterotic string on $T^4$ and type IIA on $K_3$ at the
$T^4/Z_2$ orbifold point, as well as their higher and lower dimensional
versions. We present a remarkably clean quantitative test of the duality at the
level of $F^4$ couplings, by completely matching a purely one-loop heterotic
amplitude to a purely tree-level type II result. The triality of SO(4,4) and
several other miracles are shown to be crucial for the duality to hold. Exact
non-perturbative new results for type I', F on $K_3$, M on $K_3$, and IIB on
$K_3$ are found, and the general form of D-instanton contributions in type IIA
or B on $T^4/Z_2$ is obtained. We also analyze the NS5-brane contributions in
type II on $K_3\times T^2$, and predict the value $\mu (N)=\sum_{d|N} (1/d^3)$
for the bulk contribution to the index of the NS5-brane world-volume theory on
$K_3 \times T^2$.
|
[
{
"created": "Thu, 13 Jan 2000 23:14:53 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2000 15:44:17 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kiritsis",
"E.",
""
],
[
"Obers",
"N. A.",
""
],
[
"Pioline",
"B.",
""
]
] |
A detailed understanding of instanton effects for half-BPS couplings is pursued in theories with 16 supersymmetries. In particular, we investigate the duality between heterotic string on $T^4$ and type IIA on $K_3$ at the $T^4/Z_2$ orbifold point, as well as their higher and lower dimensional versions. We present a remarkably clean quantitative test of the duality at the level of $F^4$ couplings, by completely matching a purely one-loop heterotic amplitude to a purely tree-level type II result. The triality of SO(4,4) and several other miracles are shown to be crucial for the duality to hold. Exact non-perturbative new results for type I', F on $K_3$, M on $K_3$, and IIB on $K_3$ are found, and the general form of D-instanton contributions in type IIA or B on $T^4/Z_2$ is obtained. We also analyze the NS5-brane contributions in type II on $K_3\times T^2$, and predict the value $\mu (N)=\sum_{d|N} (1/d^3)$ for the bulk contribution to the index of the NS5-brane world-volume theory on $K_3 \times T^2$.
|
1404.4728
|
Jalil Naji
|
J. Naji
|
The Hawking temperature in the context of dark energy for
four-dimensional asymptotically AdS black holes with scalar hair
| null |
Can.J.Phys. 94 (2016) no.1, 35-41
|
10.1139/cjp-2015-0545
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we considered new solutions for four-dimensional
asymptotically AdS black holes with scalar hair and discuss about Hawking
temperature in the context of dark energy by using the tunneling method. We
obtain modification of the Hawking temperature due to presence of the dark
energy.
|
[
{
"created": "Fri, 18 Apr 2014 09:31:57 GMT",
"version": "v1"
}
] |
2016-11-03
|
[
[
"Naji",
"J.",
""
]
] |
In this paper, we considered new solutions for four-dimensional asymptotically AdS black holes with scalar hair and discuss about Hawking temperature in the context of dark energy by using the tunneling method. We obtain modification of the Hawking temperature due to presence of the dark energy.
|
0904.3313
|
Michael Gutperle
|
Eric D'Hoker, John Estes, Michael Gutperle, and Darya Krym
|
Janus solutions in M-theory
|
20 pages, 2 figures, pdflatex
|
JHEP 0906:018,2009
|
10.1088/1126-6708/2009/06/018
|
UCLA/09/TEP/43, CPHT-RR025.0409
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a one-parameter deformation of the AdS_{4} x S^{7} vacuum, which
is a regular solution in M-theory, invariant under SO(2,2) x SO(4) x SO(4), and
which preserves 16 supersymmetries. The solution corresponds to a holographic
realization of a Janus-like interface/defect theory, despite the absence of a
dilaton in M-theory. The 2+1-dimensional CFT dual results from the maximally
symmetric CFT through the insertion of a dimension 2 operator which is
localized along a 1+1-dimensional linear interface/defect, thereby partially
breaking the superconformal symmetry. The solution admits a regular ABJM
reduction to a quotient solution which is invariant under SO(2,2) x SO(4) x
U(1)^2, preserves 12 supersymmetries, and provides a Janus-like
interface/defect solution in ABJM theory.
|
[
{
"created": "Tue, 21 Apr 2009 18:41:28 GMT",
"version": "v1"
}
] |
2010-12-17
|
[
[
"D'Hoker",
"Eric",
""
],
[
"Estes",
"John",
""
],
[
"Gutperle",
"Michael",
""
],
[
"Krym",
"Darya",
""
]
] |
We present a one-parameter deformation of the AdS_{4} x S^{7} vacuum, which is a regular solution in M-theory, invariant under SO(2,2) x SO(4) x SO(4), and which preserves 16 supersymmetries. The solution corresponds to a holographic realization of a Janus-like interface/defect theory, despite the absence of a dilaton in M-theory. The 2+1-dimensional CFT dual results from the maximally symmetric CFT through the insertion of a dimension 2 operator which is localized along a 1+1-dimensional linear interface/defect, thereby partially breaking the superconformal symmetry. The solution admits a regular ABJM reduction to a quotient solution which is invariant under SO(2,2) x SO(4) x U(1)^2, preserves 12 supersymmetries, and provides a Janus-like interface/defect solution in ABJM theory.
|
hep-th/9907077
|
Sascha Vongehr
|
Sascha Vongehr
|
Examples of Black Holes in Two-Time Physics
|
20 pages, some corrections, added refs
| null | null | null |
hep-th
| null |
Two time theory is derived via localization of the global Sp(2) [or Osp(1/2),
Osp(N/2), Sp(2N),...] symmetry in phase space in order to give a self contained
introduction to two time theory. Then it is shown that from the two-times
physics point of view theories of point particles on many known black hole
backgrounds are Sp(2) gauge duals of one another and of course also gauge dual
to all other equal dimensional gauges from earlier two time related
publications (hydrogen atom, ...). We reproduce the free (quantum) relativistic
particle on 1+1 dimensional black hole backgrounds and 2+1 dimensional BTZ
ones. Other 2+1 black holes and n+1 ones are touched on but explicitely found
only as cross sections of complicated (n+1)+1 backgrounds. Further we give near
horizon solutions (e.g. n+1 Robertson-Bertotti). Since two time physics can
reproduce these backgrounds all particle actions have hidden symmetries that
have not been noticed before.
|
[
{
"created": "Sun, 11 Jul 1999 22:16:45 GMT",
"version": "v1"
},
{
"created": "Sun, 22 Aug 1999 22:49:43 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Sep 1999 05:44:59 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Vongehr",
"Sascha",
""
]
] |
Two time theory is derived via localization of the global Sp(2) [or Osp(1/2), Osp(N/2), Sp(2N),...] symmetry in phase space in order to give a self contained introduction to two time theory. Then it is shown that from the two-times physics point of view theories of point particles on many known black hole backgrounds are Sp(2) gauge duals of one another and of course also gauge dual to all other equal dimensional gauges from earlier two time related publications (hydrogen atom, ...). We reproduce the free (quantum) relativistic particle on 1+1 dimensional black hole backgrounds and 2+1 dimensional BTZ ones. Other 2+1 black holes and n+1 ones are touched on but explicitely found only as cross sections of complicated (n+1)+1 backgrounds. Further we give near horizon solutions (e.g. n+1 Robertson-Bertotti). Since two time physics can reproduce these backgrounds all particle actions have hidden symmetries that have not been noticed before.
|
1301.6756
|
Kurt Hinterbichler
|
Kurt Hinterbichler, Justin Khoury, Horatiu Nastase, Rogerio Rosenfeld
|
Chameleonic inflation
|
27 pages, 4 figures
|
JHEP 08 (2013) 053
|
10.1007/JHEP08(2013)053
| null |
hep-th astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We attempt to incorporate inflation into a string theory realization of the
chameleon mechanism. Previously, it was found that the volume modulus,
stabilized by the supersymmetric potential used by Kachru, Kallosh, Linde and
Trivedi (KKLT) and with the right choice of parameters, can generically work as
a chameleon. In this paper, we ask whether inflation can be realized in the
same model. We find that we need a large extra dimensions set-up, as well as a
semi-phenomenological deformation of the Kahler potential in the quantum
region. We also find that an additional KKLT term is required so that there are
now two pieces to the potential, one which drives inflation in the early
universe, and one which is responsible for chameleon screening at late times.
These two pieces of the potential are separated by a large flat desert in field
space. The scalar field must dynamically traverse this desert between the end
of inflation and today, and we find that this can indeed occur under the right
conditions.
|
[
{
"created": "Mon, 28 Jan 2013 21:00:00 GMT",
"version": "v1"
}
] |
2013-08-19
|
[
[
"Hinterbichler",
"Kurt",
""
],
[
"Khoury",
"Justin",
""
],
[
"Nastase",
"Horatiu",
""
],
[
"Rosenfeld",
"Rogerio",
""
]
] |
We attempt to incorporate inflation into a string theory realization of the chameleon mechanism. Previously, it was found that the volume modulus, stabilized by the supersymmetric potential used by Kachru, Kallosh, Linde and Trivedi (KKLT) and with the right choice of parameters, can generically work as a chameleon. In this paper, we ask whether inflation can be realized in the same model. We find that we need a large extra dimensions set-up, as well as a semi-phenomenological deformation of the Kahler potential in the quantum region. We also find that an additional KKLT term is required so that there are now two pieces to the potential, one which drives inflation in the early universe, and one which is responsible for chameleon screening at late times. These two pieces of the potential are separated by a large flat desert in field space. The scalar field must dynamically traverse this desert between the end of inflation and today, and we find that this can indeed occur under the right conditions.
|
2404.03014
|
Pranav Pulakkat
|
Pranav Pulakkat
|
On the Charge Algebra of Causal Diamonds in Three Dimensional Gravity
|
Revised to agree with journal version.35 pages, 3 figures
|
JHEP 07 (2024) 251
|
10.1007/JHEP07(2024)251
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Covariant phase space methods are applied to the analysis of a causal diamond
in 2+1-dimensional pure Einstein gravity. It is found that the reduced phase
space is parametrized by a family of charges with a dual geometrical
interpretation: they are geometric observables on the corner of the diamond,
and they generate diffeomorphisms. The Poisson brackets among them close into
an algebra. Knowledge of the corner charges therefore permits reconstruction of
the diamond geometry, which realizes a form of local holography. The results
are contrasted with the literature, and the path to a quantum description of
spacetime geometry is discussed.
|
[
{
"created": "Wed, 3 Apr 2024 18:51:45 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Aug 2024 12:37:35 GMT",
"version": "v2"
}
] |
2024-08-07
|
[
[
"Pulakkat",
"Pranav",
""
]
] |
Covariant phase space methods are applied to the analysis of a causal diamond in 2+1-dimensional pure Einstein gravity. It is found that the reduced phase space is parametrized by a family of charges with a dual geometrical interpretation: they are geometric observables on the corner of the diamond, and they generate diffeomorphisms. The Poisson brackets among them close into an algebra. Knowledge of the corner charges therefore permits reconstruction of the diamond geometry, which realizes a form of local holography. The results are contrasted with the literature, and the path to a quantum description of spacetime geometry is discussed.
|
1410.2683
|
Naoki Sasakura
|
Gaurav Narain, Naoki Sasakura and Yuki Sato
|
Physical states in the canonical tensor model from the perspective of
random tensor networks
|
41 pages, 1 figure; typos corrected
| null |
10.1007/JHEP01(2015)010
|
WITS-CTP-150, YITP-14-73
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Tensor models, generalization of matrix models, are studied aiming for
quantum gravity in dimensions larger than two. Among them, the canonical tensor
model is formulated as a totally constrained system with first-class
constraints, the algebra of which resembles the Dirac algebra of general
relativity. When quantized, the physical states are defined to be vanished by
the quantized constraints. In explicit representations, the constraint
equations are a set of partial differential equations for the physical
wave-functions, which do not seem straightforward to be solved due to their
non-linear character. In this paper, after providing some explicit solutions
for $N=2,3$, we show that certain scale-free integration of partition functions
of statistical systems on random networks (or random tensor networks more
generally) provides a series of solutions for general $N$. Then, by
generalizing this form, we also obtain various solutions for general $N$.
Moreover, we show that the solutions for the cases with a cosmological constant
can be obtained from those with no cosmological constant for increased $N$.
This would imply the interesting possibility that a cosmological constant can
always be absorbed into the dynamics and is not an input parameter in the
canonical tensor model. We also observe the possibility of symmetry enhancement
in $N=3$, and comment on an extension of Airy function related to the
solutions.
|
[
{
"created": "Fri, 10 Oct 2014 06:18:41 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Oct 2014 01:13:01 GMT",
"version": "v2"
},
{
"created": "Fri, 30 Jan 2015 03:41:41 GMT",
"version": "v3"
}
] |
2015-06-23
|
[
[
"Narain",
"Gaurav",
""
],
[
"Sasakura",
"Naoki",
""
],
[
"Sato",
"Yuki",
""
]
] |
Tensor models, generalization of matrix models, are studied aiming for quantum gravity in dimensions larger than two. Among them, the canonical tensor model is formulated as a totally constrained system with first-class constraints, the algebra of which resembles the Dirac algebra of general relativity. When quantized, the physical states are defined to be vanished by the quantized constraints. In explicit representations, the constraint equations are a set of partial differential equations for the physical wave-functions, which do not seem straightforward to be solved due to their non-linear character. In this paper, after providing some explicit solutions for $N=2,3$, we show that certain scale-free integration of partition functions of statistical systems on random networks (or random tensor networks more generally) provides a series of solutions for general $N$. Then, by generalizing this form, we also obtain various solutions for general $N$. Moreover, we show that the solutions for the cases with a cosmological constant can be obtained from those with no cosmological constant for increased $N$. This would imply the interesting possibility that a cosmological constant can always be absorbed into the dynamics and is not an input parameter in the canonical tensor model. We also observe the possibility of symmetry enhancement in $N=3$, and comment on an extension of Airy function related to the solutions.
|
2208.07270
|
Marcus Sperling
|
Amihay Hanany and Marcus Sperling
|
Magnetic quivers and negatively charged branes
|
v2: 43 pages + appendices; minor typos corrected, added
clarifications; matches JHEP version
| null |
10.1007/JHEP11(2022)010
|
Imperial/TP/22/AH/02
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Higgs branches of the world-volume theories for multiple M5 branes on an
$A_k$ or $D_k$-type ALE space are known to host a variety of fascinating
properties, such as the small $E_8$ instanton transition or the discrete
gauging phenomena. This setup can be further enriched by the inclusion of
boundary conditions, which take the form of $SU(k)$ or $SO(2k)$ partitions,
respectively. Unlike the $A$-type case, $D$-type boundary conditions are
eventually accompanied by negative brane numbers in the Type IIA brane
realisation. While this may seem discouraging at first, we demonstrate that
these setups are well-suited to analyse the Higgs branches via magnetic
quivers. Along the way, we encounter multiple models with previously neglected
Higgs branches that exhibit exciting physics and novel geometric realisations.
Nilpotent orbits, Slodowy slices, and symmetric products.
|
[
{
"created": "Mon, 15 Aug 2022 15:26:46 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 03:55:01 GMT",
"version": "v2"
}
] |
2022-11-16
|
[
[
"Hanany",
"Amihay",
""
],
[
"Sperling",
"Marcus",
""
]
] |
The Higgs branches of the world-volume theories for multiple M5 branes on an $A_k$ or $D_k$-type ALE space are known to host a variety of fascinating properties, such as the small $E_8$ instanton transition or the discrete gauging phenomena. This setup can be further enriched by the inclusion of boundary conditions, which take the form of $SU(k)$ or $SO(2k)$ partitions, respectively. Unlike the $A$-type case, $D$-type boundary conditions are eventually accompanied by negative brane numbers in the Type IIA brane realisation. While this may seem discouraging at first, we demonstrate that these setups are well-suited to analyse the Higgs branches via magnetic quivers. Along the way, we encounter multiple models with previously neglected Higgs branches that exhibit exciting physics and novel geometric realisations. Nilpotent orbits, Slodowy slices, and symmetric products.
|
hep-th/0510125
|
James Sparks
|
Jerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram
|
Supersymmetric AdS_5 Solutions of Type IIB Supergravity
|
33 pages
|
Class.Quant.Grav.23:4693-4718,2006
|
10.1088/0264-9381/23/14/009
|
Imperial/TP/041105, CERN-PH-TH/2005-184, HUTP-04/A0051
|
hep-th
| null |
We analyse the most general bosonic supersymmetric solutions of type IIB
supergravity whose metrics are warped products of five-dimensional anti-de
Sitter space AdS_5 with a five-dimensional Riemannian manifold M_5. All fluxes
are allowed to be non-vanishing consistent with SO(4,2) symmetry. We show that
the necessary and sufficient conditions can be phrased in terms of a local
identity structure on M_5. For a special class, with constant dilaton and
vanishing axion, we reduce the problem to solving a second order non-linear
ODE. We find an exact solution of the ODE which reproduces a solution first
found by Pilch and Warner. A numerical analysis of the ODE reveals an
additional class of local solutions.
|
[
{
"created": "Mon, 17 Oct 2005 19:11:12 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Gauntlett",
"Jerome P.",
""
],
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
],
[
"Waldram",
"Daniel",
""
]
] |
We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space AdS_5 with a five-dimensional Riemannian manifold M_5. All fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M_5. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second order non-linear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions.
|
2206.13582
|
Alberto Lerda
|
M. Billo, M. Frau, A. Lerda, A. Pini and P. Vallarino
|
Structure constants in $\mathcal{N}=2$ superconformal quiver theories at
strong coupling and holography
|
5 pages, 2 figures
|
Phys. Rev. Lett. 129 (2022) 3, 031602
|
10.1103/PhysRevLett.129.031602
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge
group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we
analytically obtain the exact strong-coupling behavior of the normalized
3-point correlators of single-trace scalar operators in the large-$N$ limit
using localization techniques. We then obtain the same strong-coupling behavior
from the holographic dual using the AdS/CFT correspondence at the supergravity
level. This agreement confirms the validity of the analytic strong-coupling
results and of the holographic correspondence in a non-maximally supersymmetric
set-up in four dimensions.
|
[
{
"created": "Mon, 27 Jun 2022 18:57:58 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2022 08:38:06 GMT",
"version": "v2"
}
] |
2022-07-21
|
[
[
"Billo",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Lerda",
"A.",
""
],
[
"Pini",
"A.",
""
],
[
"Vallarino",
"P.",
""
]
] |
In a four-dimensional $\mathcal{N}=2$ superconformal quiver theory with gauge group $\mathrm{SU}(N)\times\mathrm{SU}(N)$ and bi-fundamental matter, we analytically obtain the exact strong-coupling behavior of the normalized 3-point correlators of single-trace scalar operators in the large-$N$ limit using localization techniques. We then obtain the same strong-coupling behavior from the holographic dual using the AdS/CFT correspondence at the supergravity level. This agreement confirms the validity of the analytic strong-coupling results and of the holographic correspondence in a non-maximally supersymmetric set-up in four dimensions.
|
hep-th/9906172
| null |
C.R. Hagen
|
Fractional spin and the Pauli term
|
1 pg, Latex, no figures
|
Phys.Lett. B470 (1999) 119-120
|
10.1016/S0370-2693(99)01330-1
| null |
hep-th
| null |
It has recently been claimed that the inclusion of a Pauli term in (2+1)
dimensions gives rise to a new type of anomalous spin term. The form of that
term is shown to contradict the structure relations for the inhomogeneous
Lorentz group.
|
[
{
"created": "Tue, 22 Jun 1999 18:45:45 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Hagen",
"C. R.",
""
]
] |
It has recently been claimed that the inclusion of a Pauli term in (2+1) dimensions gives rise to a new type of anomalous spin term. The form of that term is shown to contradict the structure relations for the inhomogeneous Lorentz group.
|
1806.00189
|
Kazumi Okuyama
|
Kazumi Okuyama, Kazuhiro Sakai
|
Resurgence analysis of 2d Yang-Mills theory on a torus
|
45 pages; v2: references added; v3: typos corrected
| null |
10.1007/JHEP08(2018)065
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the large $N$ 't Hooft expansion of the partition function of 2d
$U(N)$ Yang-Mills theory on a torus. We compute the $1/N$ genus expansion of
both the chiral and the full partition function of 2d Yang-Mills using the
recursion relation found by Kaneko and Zagier with a slight modification. Then
we study the large order behavior of this genus expansion, from which we
extract the non-perturbative correction using the resurgence relation. It turns
out that the genus expansion is not Borel summable and the coefficient of
1-instanton correction, the so-called Stokes parameter, is pure imaginary. We
find that the non-perturbative correction obtained from the resurgence is
reproduced from a certain analytic continuation of the grand partition function
of a system of non-relativistic fermions on a circle. Our analytic continuation
is different from that considered in hep-th/0504221.
|
[
{
"created": "Fri, 1 Jun 2018 04:39:14 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jun 2018 09:34:23 GMT",
"version": "v2"
},
{
"created": "Wed, 15 Aug 2018 07:57:29 GMT",
"version": "v3"
}
] |
2018-08-29
|
[
[
"Okuyama",
"Kazumi",
""
],
[
"Sakai",
"Kazuhiro",
""
]
] |
We study the large $N$ 't Hooft expansion of the partition function of 2d $U(N)$ Yang-Mills theory on a torus. We compute the $1/N$ genus expansion of both the chiral and the full partition function of 2d Yang-Mills using the recursion relation found by Kaneko and Zagier with a slight modification. Then we study the large order behavior of this genus expansion, from which we extract the non-perturbative correction using the resurgence relation. It turns out that the genus expansion is not Borel summable and the coefficient of 1-instanton correction, the so-called Stokes parameter, is pure imaginary. We find that the non-perturbative correction obtained from the resurgence is reproduced from a certain analytic continuation of the grand partition function of a system of non-relativistic fermions on a circle. Our analytic continuation is different from that considered in hep-th/0504221.
|
hep-th/0011018
|
Mees de Roo
|
E. A. Bergshoeff, M. de Roo and A. Sevrin
|
Non-abelian Born-Infeld and kappa-symmetry
|
26 pages, Latex
|
J.Math.Phys. 42 (2001) 2872-2888
|
10.1063/1.1374449
|
UG/00-16, VUB/TENA/00/08
|
hep-th
| null |
We define an iterative procedure to obtain a non-abelian generalization of
the Born-Infeld action. This construction is made possible by the use of the
severe restrictions imposed by kappa-symmetry. In this paper we will present
all bosonic terms in the action up to terms quartic in the Yang-Mills field
strength and all fermion bilinear terms up to terms cubic in the field
strength. Already at this order the fermionic terms do not satisfy the
symmetric trace-prescription.
|
[
{
"created": "Fri, 3 Nov 2000 08:36:55 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Bergshoeff",
"E. A.",
""
],
[
"de Roo",
"M.",
""
],
[
"Sevrin",
"A.",
""
]
] |
We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. In this paper we will present all bosonic terms in the action up to terms quartic in the Yang-Mills field strength and all fermion bilinear terms up to terms cubic in the field strength. Already at this order the fermionic terms do not satisfy the symmetric trace-prescription.
|
2404.03252
|
Justin David R
|
Barsha G. Chowdhury, Justin R. David, Semanti Dutta, Jyotirmoy
Mukherjee
|
Precision tests of bulk entanglement entropy
|
85 pages, 9 figures, 2 tables, typos corrected, references added
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We consider linear superpositions of single particle excitations in a scalar
field theory on $AdS_3$ and evaluate their contribution to the bulk
entanglement entropy across the Ryu-Takayanagi surface. We compare the
entanglement entropy of these excitations obtained using the
Faulkner-Lewkowycz-Maldacena formula to the entanglement entropy of linear
superposition of global descendants of a conformal primary in a large $c$ CFT
obtained using the replica trick. We show that the closed from expressions for
the entanglement entropy in the small interval expansion both in gravity and
the CFT precisely agree. The agreement serves as a non-trivial check of the FLM
formula for the quantum corrections to holographic entropy which also involves
a contribution from the back reacted minimal area. Our checks includes an
example in which the state is time dependent and spatially in-homogenous as
well another example involving a coherent state with a Ba\~{n}ados geometry as
its holographic dual.
|
[
{
"created": "Thu, 4 Apr 2024 07:16:59 GMT",
"version": "v1"
},
{
"created": "Thu, 2 May 2024 00:51:56 GMT",
"version": "v2"
}
] |
2024-05-03
|
[
[
"Chowdhury",
"Barsha G.",
""
],
[
"David",
"Justin R.",
""
],
[
"Dutta",
"Semanti",
""
],
[
"Mukherjee",
"Jyotirmoy",
""
]
] |
We consider linear superpositions of single particle excitations in a scalar field theory on $AdS_3$ and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of these excitations obtained using the Faulkner-Lewkowycz-Maldacena formula to the entanglement entropy of linear superposition of global descendants of a conformal primary in a large $c$ CFT obtained using the replica trick. We show that the closed from expressions for the entanglement entropy in the small interval expansion both in gravity and the CFT precisely agree. The agreement serves as a non-trivial check of the FLM formula for the quantum corrections to holographic entropy which also involves a contribution from the back reacted minimal area. Our checks includes an example in which the state is time dependent and spatially in-homogenous as well another example involving a coherent state with a Ba\~{n}ados geometry as its holographic dual.
|
2207.13029
|
Ashis Saha
|
Anirban Roy Chowdhury, Ashis Saha and Sunandan Gangopadhyay
|
The role of mutual information in the Page curve
|
v1: 7 pages LaTex, 2 figures, v2: 9 pages LaTex, 2 figures. Accepted
for publication in Physical Review D
|
Phys. Rev. D 106, 086019 (2022)
|
10.1103/PhysRevD.106.086019
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we give two proposals regarding the status of connectivity of
entanglement wedges and the associated saturation of mutual information. The
first proposal has been given for the scenario before the Page time depicting
the fact that at a particular value of the observer's time $t_b=t_R$ (where
$t_R\ll\beta$), the mutual information $I(R_+:R_-)$ vanishes representing the
disconnected phase of the radiation entanglement wedge. We argue that this time
is the Hartman-Maldacena time at which the fine-grained entropy of radiation
goes as $S(R)\sim \log(\beta)$, where $\beta$ is the inverse of Hawking
temperature of the black hole. On the other hand, the second proposal probes
the crucial role played by the mutual information of black hole subsystems in
obtaining the correct Page curve of radiation.
|
[
{
"created": "Tue, 26 Jul 2022 16:38:53 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Oct 2022 03:59:11 GMT",
"version": "v2"
}
] |
2022-10-28
|
[
[
"Chowdhury",
"Anirban Roy",
""
],
[
"Saha",
"Ashis",
""
],
[
"Gangopadhyay",
"Sunandan",
""
]
] |
In this work, we give two proposals regarding the status of connectivity of entanglement wedges and the associated saturation of mutual information. The first proposal has been given for the scenario before the Page time depicting the fact that at a particular value of the observer's time $t_b=t_R$ (where $t_R\ll\beta$), the mutual information $I(R_+:R_-)$ vanishes representing the disconnected phase of the radiation entanglement wedge. We argue that this time is the Hartman-Maldacena time at which the fine-grained entropy of radiation goes as $S(R)\sim \log(\beta)$, where $\beta$ is the inverse of Hawking temperature of the black hole. On the other hand, the second proposal probes the crucial role played by the mutual information of black hole subsystems in obtaining the correct Page curve of radiation.
|
1303.2743
|
Xiaojian Bai
|
Xiaojian Bai, Bum-Hoon Lee, I. Y. Park
|
Worldsheet one-loop energy correction to IIA Giant Magnon
|
21 pages, no figures; v2: typos corrected, references added; v3: more
discussion added, accepted by IJMPA
|
Int. J. Mod. Phys. A29 (2014) 1450083
|
10.1142/S0217751X14500833
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute one-loop corrections to the energy of a IIA giant magnon solution
in the $AdS_4 \times CP^3$ background by using the standard quantum field
theory (QFT) techniques. The string action is expanded around the solution to
the quadratic order in the fluctuation fields. The resulting action has 2D
coordinate dependent-coefficients, a feature that complicates the analysis. The
solution contains a worldsheet velocity parameter $v$, and is expanded in terms
of the parameter. A perturbative analysis is carried out by treating the
$v$-dependent parts as vertices. The energy is computed by first putting the
system in a box of length $L$ and Fourier-transforming the fields into the
discrete momentum modes. We compare our result with the results obtained by the
algebraic curve method.
|
[
{
"created": "Tue, 12 Mar 2013 01:31:55 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Mar 2013 00:31:00 GMT",
"version": "v2"
},
{
"created": "Sun, 11 May 2014 05:05:24 GMT",
"version": "v3"
}
] |
2014-06-25
|
[
[
"Bai",
"Xiaojian",
""
],
[
"Lee",
"Bum-Hoon",
""
],
[
"Park",
"I. Y.",
""
]
] |
We compute one-loop corrections to the energy of a IIA giant magnon solution in the $AdS_4 \times CP^3$ background by using the standard quantum field theory (QFT) techniques. The string action is expanded around the solution to the quadratic order in the fluctuation fields. The resulting action has 2D coordinate dependent-coefficients, a feature that complicates the analysis. The solution contains a worldsheet velocity parameter $v$, and is expanded in terms of the parameter. A perturbative analysis is carried out by treating the $v$-dependent parts as vertices. The energy is computed by first putting the system in a box of length $L$ and Fourier-transforming the fields into the discrete momentum modes. We compare our result with the results obtained by the algebraic curve method.
|
0711.0078
|
Takeshi Oota
|
Takeshi Oota and Yukinori Yasui
|
Separability of Dirac equation in higher dimensional Kerr-NUT-de Sitter
spacetime
|
8 pages, LaTeX, no figure, v2: few comments added, references added,
typos corrected, published version
|
Phys.Lett.B659:688-693,2008
|
10.1016/j.physletb.2007.11.057
|
OCU-PHYS 280
|
hep-th
| null |
It is shown that the Dirac equations in general higher dimensional
Kerr-NUT-de Sitter spacetimes are separated into ordinary differential
equations.
|
[
{
"created": "Thu, 1 Nov 2007 08:56:21 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2008 10:38:16 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Oota",
"Takeshi",
""
],
[
"Yasui",
"Yukinori",
""
]
] |
It is shown that the Dirac equations in general higher dimensional Kerr-NUT-de Sitter spacetimes are separated into ordinary differential equations.
|
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