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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9810143
|
Fiorenzo Bastianelli
|
Fiorenzo Bastianelli
|
Mode Regularization of the Configuration Space Path Integral for a
Particle in Curved Space
|
4 pages, LaTeX2e, to appear in the proceedings of ``Path Integrals
from peV to TeV'' (Florence, Italy, August 25-29, 1998)
| null | null | null |
hep-th
| null |
The proper definition and evaluation of the configuration space path integral
for the motion of a particle in curved space is a notoriously tricky problem.
We discuss a consistent definition which makes use of an expansion in Fourier
sine series of the particle paths. Salient features of the regularization are
the Lee-Yang ghosts fields and a specific effective potential to be added to
the classical action. The Lee-Yang ghost fields are introduced to exponentiate
the non-trivial path integral measure and make the perturbative loop expansion
finite order by order, whereas the effective potential is necessary to maintain
the general coordinate invariance of the model. We also discuss a three loop
computation which tests the mode regularization scheme and reproduces
consistently De Witt's perturbative solution of the heat kernel.
|
[
{
"created": "Mon, 19 Oct 1998 17:37:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Bastianelli",
"Fiorenzo",
""
]
] |
The proper definition and evaluation of the configuration space path integral for the motion of a particle in curved space is a notoriously tricky problem. We discuss a consistent definition which makes use of an expansion in Fourier sine series of the particle paths. Salient features of the regularization are the Lee-Yang ghosts fields and a specific effective potential to be added to the classical action. The Lee-Yang ghost fields are introduced to exponentiate the non-trivial path integral measure and make the perturbative loop expansion finite order by order, whereas the effective potential is necessary to maintain the general coordinate invariance of the model. We also discuss a three loop computation which tests the mode regularization scheme and reproduces consistently De Witt's perturbative solution of the heat kernel.
|
0808.3703
|
Adrian Tanasa
|
Adrian Tanasa
|
Scalar and gauge translation-invariant noncommutative models
|
6 pages, no figures
|
Rom.J.Phys.53:1207-1212,2008
| null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We make here a short overview of the recent developments regarding
translation-invariant models on the noncommutative Moyal space. A scalar model
was first proposed and proved renormalizable. Its one-loop renormalization
group flow and parametric representation were calculated. Furthermore, a
mechanism to take its commutative limit was recently given. Finally, a
proposition for a renormalizable, translation-invariant gauge model was made.
|
[
{
"created": "Wed, 27 Aug 2008 13:27:23 GMT",
"version": "v1"
}
] |
2010-12-06
|
[
[
"Tanasa",
"Adrian",
""
]
] |
We make here a short overview of the recent developments regarding translation-invariant models on the noncommutative Moyal space. A scalar model was first proposed and proved renormalizable. Its one-loop renormalization group flow and parametric representation were calculated. Furthermore, a mechanism to take its commutative limit was recently given. Finally, a proposition for a renormalizable, translation-invariant gauge model was made.
|
hep-th/0202134
|
Jan Govaerts
|
Jan Govaerts
|
The Cosmological Constant of One-Dimensional Matter Coupled Quantum
Gravity is Quantized
|
1+20 pages
| null | null |
STIAS-02-002
|
hep-th gr-qc
| null |
Coupling any interacting quantum mechanical system to gravity in one
dimension requires the cosmological constant to belong to the matter energy
spectrum and thus to be quantized, even though the gravity sector is free of
any quantum dynamics, while physical states are also confined to the subspace
of matter quantum states whose energy coincides with the cosmological constant
value. These general facts are illustrated through some simple examples. The
physical projector quantization approach readily leads to the correct
representation of such systems, whereas other approaches relying on gauge
fixing methods are often plagued by Gribov problems in which case the
quantization rule is not properly recovered. Whether such a quantization of the
cosmological constant as well as the other ensuing consequences in terms of
physical states extend to higher dimensional matter-gravity coupled quantum
systems is clearly a fascinating open issue.
|
[
{
"created": "Wed, 20 Feb 2002 13:15:04 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Govaerts",
"Jan",
""
]
] |
Coupling any interacting quantum mechanical system to gravity in one dimension requires the cosmological constant to belong to the matter energy spectrum and thus to be quantized, even though the gravity sector is free of any quantum dynamics, while physical states are also confined to the subspace of matter quantum states whose energy coincides with the cosmological constant value. These general facts are illustrated through some simple examples. The physical projector quantization approach readily leads to the correct representation of such systems, whereas other approaches relying on gauge fixing methods are often plagued by Gribov problems in which case the quantization rule is not properly recovered. Whether such a quantization of the cosmological constant as well as the other ensuing consequences in terms of physical states extend to higher dimensional matter-gravity coupled quantum systems is clearly a fascinating open issue.
|
hep-th/0312130
|
Choon-Lin Ho
|
Choon-Lin Ho and Pinaki Roy
|
Quasi-exact solvability of Dirac-Pauli equation and generalized Dirac
oscillators
|
LaTex, 21 pages, no figures
|
Annals Phys. 312 (2004) 161-176
|
10.1016/j.aop.2004.01.007
| null |
hep-th math-ph math.MP nlin.SI quant-ph
| null |
We demonstrate that neutral Dirac particles in external electric fields,
which are equivalent to generalized Dirac oscillators, are physical examples of
quasi-exactly solvable systems. Electric field configurations permitting
quasi-exact solvability of the system based on the $sl(2)$ symmetry are
discussed separately in spherical, cylindrical, and Cartesian coordinates. Some
exactly solvable field configurations are also exhibited.
|
[
{
"created": "Fri, 12 Dec 2003 11:03:04 GMT",
"version": "v1"
}
] |
2015-06-26
|
[
[
"Ho",
"Choon-Lin",
""
],
[
"Roy",
"Pinaki",
""
]
] |
We demonstrate that neutral Dirac particles in external electric fields, which are equivalent to generalized Dirac oscillators, are physical examples of quasi-exactly solvable systems. Electric field configurations permitting quasi-exact solvability of the system based on the $sl(2)$ symmetry are discussed separately in spherical, cylindrical, and Cartesian coordinates. Some exactly solvable field configurations are also exhibited.
|
hep-th/9312038
|
Hai Ren
|
Hai Ren and Erick J. Weinberg
|
Radiation from a moving Scalar Source
|
15 pages, CU-TP-592
|
Phys.Rev.D49:6526-6533,1994
|
10.1103/PhysRevD.49.6526
| null |
hep-th
| null |
We study classical radiation and quantum bremsstrahlung effect of a moving
point scalar source. Our classical analysis provides another example of
resolving a well-known apparent paradox, that of whether a constantly
accelerating source radiates or not. Quantum mechanically, we show that for a
scalar source with arbitrary motion, the tree level emission rate of scalar
particles in the inertial frame equals the sum of emission and absorption rates
of zero-energy Rindler particles in the Rindler frame. We then explicitly
verify this result for a source undergoing constant proper acceleration.
|
[
{
"created": "Mon, 6 Dec 1993 00:21:55 GMT",
"version": "v1"
}
] |
2011-08-17
|
[
[
"Ren",
"Hai",
""
],
[
"Weinberg",
"Erick J.",
""
]
] |
We study classical radiation and quantum bremsstrahlung effect of a moving point scalar source. Our classical analysis provides another example of resolving a well-known apparent paradox, that of whether a constantly accelerating source radiates or not. Quantum mechanically, we show that for a scalar source with arbitrary motion, the tree level emission rate of scalar particles in the inertial frame equals the sum of emission and absorption rates of zero-energy Rindler particles in the Rindler frame. We then explicitly verify this result for a source undergoing constant proper acceleration.
|
hep-th/0403183
|
Alex Giacomini
|
Alex Giacomini
|
Two Dimensional Conformal Symmetry and the Microscopic Interpretation of
Black Hole Entropy
|
Ph.D. thesis
| null | null | null |
hep-th
| null |
In this thesis the research work, done by the author in the three years of
his Ph.D. study, will be exposed. The role of two dimensional conformal field
theories will be discussed. Different approaches will be studied in order to
find a classical central charge in the Poisson algebra of the symmetry
generators. In this way one can compute the black hole entropy using the Cardy
formula. Being the central charge classical the computation is independent from
a specific model of quantum theory of gravity. It will be shown eventually that
the microscopic degrees of freedom of the black hole can be described by a free
field and some considerations on a possible quantization of the theory will be
made.
|
[
{
"created": "Thu, 18 Mar 2004 12:37:42 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Giacomini",
"Alex",
""
]
] |
In this thesis the research work, done by the author in the three years of his Ph.D. study, will be exposed. The role of two dimensional conformal field theories will be discussed. Different approaches will be studied in order to find a classical central charge in the Poisson algebra of the symmetry generators. In this way one can compute the black hole entropy using the Cardy formula. Being the central charge classical the computation is independent from a specific model of quantum theory of gravity. It will be shown eventually that the microscopic degrees of freedom of the black hole can be described by a free field and some considerations on a possible quantization of the theory will be made.
|
hep-th/9803167
|
Yaron Oz
|
Yaron Oz, John Terning
|
Orbifolds of AdS_5xS^5 and 4d Conformal Field Theories
|
23 pages latex, references added, minor clarifications, additional
orbifolds analyzed
|
Nucl.Phys.B532:163-180,1998
|
10.1016/S0550-3213(98)00454-4
|
LBNL-41562, UCB-PTH-98/16
|
hep-th
| null |
We study the relation between the large Nc limit of four dimensional N=2,1,0
conformal field theories and supergravity on orbifolds of AdS_5xS^5. We analyze
the Kaluza-Klein states of the supergravity theory and relate them to the
spectrum of (chiral) primary operators of the (super) conformal field theories.
|
[
{
"created": "Fri, 20 Mar 1998 00:46:33 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 1998 02:00:17 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Mar 1998 21:19:17 GMT",
"version": "v3"
},
{
"created": "Sat, 13 Jun 1998 00:33:20 GMT",
"version": "v4"
}
] |
2009-09-29
|
[
[
"Oz",
"Yaron",
""
],
[
"Terning",
"John",
""
]
] |
We study the relation between the large Nc limit of four dimensional N=2,1,0 conformal field theories and supergravity on orbifolds of AdS_5xS^5. We analyze the Kaluza-Klein states of the supergravity theory and relate them to the spectrum of (chiral) primary operators of the (super) conformal field theories.
|
1911.06701
|
Laura Sberna
|
Alice Di Tucci, Jean-Luc Lehners and Laura Sberna
|
No-boundary prescriptions in Lorentzian quantum cosmology
|
38 pages, 6 figures. v3: corrects an error in Eq. (42)
|
Phys. Rev. D 100, 123543 (2019)
|
10.1103/PhysRevD.100.123543
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the impact of various boundary conditions on the (minisuperspace)
Lorentzian gravitational path integral. In particular we assess the
implications for the Hartle-Hawking no-boundary wavefunction. It was shown
recently that when this proposal is defined as a sum over compact metrics,
problems arise with the stability of fluctuations. These difficulties can be
overcome by an especially simple implementation of the no-boundary idea: namely
to take the Einstein-Hilbert action at face value while adding no boundary
term. This prescription simultaneously imposes an initial Neumann boundary
condition for the scale factor of the universe and, for a Bianchi IX spacetime,
Dirichlet conditions for the anisotropies. Another way to implement the
no-boundary wavefunction is to use Robin boundary conditions. A sub-class of
Robin conditions allows one to specify the Hubble rate on the boundary
hypersurface, and we highlight the surprising aspect that specifying the final
Hubble rate (rather than the final size of the universe) significantly alters
the off-shell structure of the path integral. The conclusion of our
investigations is that all current working examples of the no-boundary
wavefunction force one to abandon the notion of a sum over compact and regular
geometries, and point to the importance of an initial Euclidean momentum.
|
[
{
"created": "Fri, 15 Nov 2019 15:29:47 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 2019 04:42:35 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Apr 2022 16:22:56 GMT",
"version": "v3"
}
] |
2022-04-08
|
[
[
"Di Tucci",
"Alice",
""
],
[
"Lehners",
"Jean-Luc",
""
],
[
"Sberna",
"Laura",
""
]
] |
We analyse the impact of various boundary conditions on the (minisuperspace) Lorentzian gravitational path integral. In particular we assess the implications for the Hartle-Hawking no-boundary wavefunction. It was shown recently that when this proposal is defined as a sum over compact metrics, problems arise with the stability of fluctuations. These difficulties can be overcome by an especially simple implementation of the no-boundary idea: namely to take the Einstein-Hilbert action at face value while adding no boundary term. This prescription simultaneously imposes an initial Neumann boundary condition for the scale factor of the universe and, for a Bianchi IX spacetime, Dirichlet conditions for the anisotropies. Another way to implement the no-boundary wavefunction is to use Robin boundary conditions. A sub-class of Robin conditions allows one to specify the Hubble rate on the boundary hypersurface, and we highlight the surprising aspect that specifying the final Hubble rate (rather than the final size of the universe) significantly alters the off-shell structure of the path integral. The conclusion of our investigations is that all current working examples of the no-boundary wavefunction force one to abandon the notion of a sum over compact and regular geometries, and point to the importance of an initial Euclidean momentum.
|
2108.06268
|
Marcos Skowronek
|
Jos\'e A. R. Cembranos, Marcos Skowronek
|
Functional Quantum Field Theory in Phase Space
|
Corresponding author: Marcos Skowronek
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We determine the form of the Wigner functional for several types of quantum
free field theories in order to analyze the representation of QFT in phase
space, as well as to compare it to other mainstream formulations. We use
Jackiw's functional representation of a quantum field state and extrapolate it
to the phase space formalism using an extension of Moyal's equation.
|
[
{
"created": "Fri, 13 Aug 2021 14:25:38 GMT",
"version": "v1"
}
] |
2021-08-16
|
[
[
"Cembranos",
"José A. R.",
""
],
[
"Skowronek",
"Marcos",
""
]
] |
We determine the form of the Wigner functional for several types of quantum free field theories in order to analyze the representation of QFT in phase space, as well as to compare it to other mainstream formulations. We use Jackiw's functional representation of a quantum field state and extrapolate it to the phase space formalism using an extension of Moyal's equation.
|
hep-th/9603169
| null |
J.M.F. Labastida and M. Mari\~no
|
Twisted N=2 Supersymmetry with Central Charge and Equivariant Cohomology
|
64 pages, macropackage phyzzx
|
Commun.Math.Phys. 185 (1997) 37-71
|
10.1007/s002200050081
| null |
hep-th alg-geom dg-ga math.AG math.DG
| null |
We present an equivariant extension of the Thom form with respect to a vector
field action, in the framework of the Mathai-Quillen formalism. The associated
Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric
theories with a central charge. We analyze in detail two different cases:
topological sigma models and non-abelian monopoles on four-manifolds.
|
[
{
"created": "Mon, 25 Mar 1996 10:38:42 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Labastida",
"J. M. F.",
""
],
[
"Mariño",
"M.",
""
]
] |
We present an equivariant extension of the Thom form with respect to a vector field action, in the framework of the Mathai-Quillen formalism. The associated Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric theories with a central charge. We analyze in detail two different cases: topological sigma models and non-abelian monopoles on four-manifolds.
|
2305.13131
|
Eric Lescano
|
Toni Kodzoman and Eric Lescano
|
Non-commutative double geometry
|
Letter version. Small modifications
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We construct non-commutative theories with the Moyal-Weyl product in the
Double Field Theory (DFT) framework. We deform the infinitesimal generalized
diffeomorphisms and the Leibniz rule in a consistent way. The prescription
requires a generalized star metric, which can be thought of as the fundamental
double metric, in order to construct the action. Finally we use the generalized
scalar field dynamics and the generalized scalar field-perfect fluid
correspondence to construct the generalized energy momentum-tensor of a perfect
fluid in the non-commutative double geometry. The present formalism paves the
way to the study of string cosmologies scenarios including the Moyal-Weyl
product in a T-duality invariant way.
|
[
{
"created": "Mon, 22 May 2023 15:30:01 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2023 13:03:32 GMT",
"version": "v2"
},
{
"created": "Wed, 10 Jan 2024 09:48:21 GMT",
"version": "v3"
}
] |
2024-01-11
|
[
[
"Kodzoman",
"Toni",
""
],
[
"Lescano",
"Eric",
""
]
] |
We construct non-commutative theories with the Moyal-Weyl product in the Double Field Theory (DFT) framework. We deform the infinitesimal generalized diffeomorphisms and the Leibniz rule in a consistent way. The prescription requires a generalized star metric, which can be thought of as the fundamental double metric, in order to construct the action. Finally we use the generalized scalar field dynamics and the generalized scalar field-perfect fluid correspondence to construct the generalized energy momentum-tensor of a perfect fluid in the non-commutative double geometry. The present formalism paves the way to the study of string cosmologies scenarios including the Moyal-Weyl product in a T-duality invariant way.
|
2303.13789
|
Yuji Ando
|
Yuji Ando and Tomoya Suda
|
Energy from Ellwood invariant for solutions involving $X^0$ variables
|
22 pages, 4 figures, published version
|
Eur.Phys.J.C 84 (2024) 6, 578
|
10.1140/epjc/s10052-024-12888-2
|
UTHEP-779
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For some classical solutions $\Psi_\mathrm{sol}$ in Witten's bosonic string
field theory, it was proven that energy of the solution is proportional to the
Ellwood invariant $\mathrm{Tr}(\mathcal{V}\Psi_\mathrm{sol})$ with
$\mathcal{V}=c\bar{c}\partial X^0\bar{\partial}X^0$. We examine the relation
for solutions involving $X^0$ variables. As a result, we obtain that the
relation may not hold for such solutions. Namely, there is a possibility that
the energy is not proportional to the Ellwood invariant.
|
[
{
"created": "Fri, 24 Mar 2023 03:58:06 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jun 2024 04:40:04 GMT",
"version": "v2"
}
] |
2024-06-10
|
[
[
"Ando",
"Yuji",
""
],
[
"Suda",
"Tomoya",
""
]
] |
For some classical solutions $\Psi_\mathrm{sol}$ in Witten's bosonic string field theory, it was proven that energy of the solution is proportional to the Ellwood invariant $\mathrm{Tr}(\mathcal{V}\Psi_\mathrm{sol})$ with $\mathcal{V}=c\bar{c}\partial X^0\bar{\partial}X^0$. We examine the relation for solutions involving $X^0$ variables. As a result, we obtain that the relation may not hold for such solutions. Namely, there is a possibility that the energy is not proportional to the Ellwood invariant.
|
2204.13115
|
Andreas Schachner
|
Chiara Crin\`o, Fernando Quevedo, Andreas Schachner and Roberto
Valandro
|
A Database of Calabi-Yau Orientifolds and the Size of D3-Tadpoles
|
30 pages plus appendices, 5 figures
| null |
10.1007/JHEP08(2022)050
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The classification of 4D reflexive polytopes by Kreuzer and Skarke allows for
a systematic construction of Calabi-Yau hypersurfaces as fine, regular, star
triangulations (FRSTs). Until now, the vastness of this geometric landscape
remains largely unexplored. In this paper, we construct Calabi-Yau orientifolds
from holomorphic reflection involutions of such hypersurfaces with Hodge
numbers $h^{1,1}\leq 12$. In particular, we compute orientifold configurations
for all favourable FRSTs for $h^{1,1}\leq 7$, while randomly sampling
triangulations for each pair of Hodge numbers up to $h^{1,1}=12$. We find
explicit string compactifications on these orientifolded Calabi-Yaus for which
the D3-charge contribution coming from O$p$-planes grows linearly with the
number of complex structure and K\"ahler moduli. We further consider non-local
D7-tadpole cancellation through Whitney branes. We argue that this leads to a
significant enhancement of the total D3-tadpole as compared to conventional
$\mathrm{SO}(8)$ stacks with $(4+4)$ D7-branes on top of O7-planes. In
particular, before turning-on worldvolume fluxes, we find that the largest
D3-tadpole in this class occurs for Calabi-Yau threefolds with
$(h^{1,1}_{+},h^{1,2}_{-})=(11,491)$ with D3-brane charges
$|Q_{\text{D3}}|=504$ for the local D7 case and $|Q_{\text{D3}}|=6,664$ for the
non-local Whitney branes case, which appears to be large enough to cancel
tadpoles and allow fluxes to stabilise all complex structure moduli. Our data
is publicly available under
http://github.com/AndreasSchachner/CY_Orientifold_database .
|
[
{
"created": "Wed, 27 Apr 2022 18:00:00 GMT",
"version": "v1"
}
] |
2022-08-24
|
[
[
"Crinò",
"Chiara",
""
],
[
"Quevedo",
"Fernando",
""
],
[
"Schachner",
"Andreas",
""
],
[
"Valandro",
"Roberto",
""
]
] |
The classification of 4D reflexive polytopes by Kreuzer and Skarke allows for a systematic construction of Calabi-Yau hypersurfaces as fine, regular, star triangulations (FRSTs). Until now, the vastness of this geometric landscape remains largely unexplored. In this paper, we construct Calabi-Yau orientifolds from holomorphic reflection involutions of such hypersurfaces with Hodge numbers $h^{1,1}\leq 12$. In particular, we compute orientifold configurations for all favourable FRSTs for $h^{1,1}\leq 7$, while randomly sampling triangulations for each pair of Hodge numbers up to $h^{1,1}=12$. We find explicit string compactifications on these orientifolded Calabi-Yaus for which the D3-charge contribution coming from O$p$-planes grows linearly with the number of complex structure and K\"ahler moduli. We further consider non-local D7-tadpole cancellation through Whitney branes. We argue that this leads to a significant enhancement of the total D3-tadpole as compared to conventional $\mathrm{SO}(8)$ stacks with $(4+4)$ D7-branes on top of O7-planes. In particular, before turning-on worldvolume fluxes, we find that the largest D3-tadpole in this class occurs for Calabi-Yau threefolds with $(h^{1,1}_{+},h^{1,2}_{-})=(11,491)$ with D3-brane charges $|Q_{\text{D3}}|=504$ for the local D7 case and $|Q_{\text{D3}}|=6,664$ for the non-local Whitney branes case, which appears to be large enough to cancel tadpoles and allow fluxes to stabilise all complex structure moduli. Our data is publicly available under http://github.com/AndreasSchachner/CY_Orientifold_database .
|
hep-th/9404002
| null |
A. Z. Capri, R. Ferrari, V. Montalbano
|
Massless scalar fields in 1+1 dimensions and Krein spaces
|
11 pages, LATEX, IFUP-TH 19/94
| null | null | null |
hep-th math-ph math.MP
| null |
We consider the Krein realization of the Hilbert space for a massless scalar
field in 1+1 dimensions. We find convergence criteria and the completion of the
space of test functions ${\cal S}$ with the topology induced by the Krein
scalar product. Finally, we show that the interpretation for the Fourier
components as probability amplitudes for the momentum operator is lost in this
case.
|
[
{
"created": "Fri, 1 Apr 1994 09:29:46 GMT",
"version": "v1"
}
] |
2012-01-17
|
[
[
"Capri",
"A. Z.",
""
],
[
"Ferrari",
"R.",
""
],
[
"Montalbano",
"V.",
""
]
] |
We consider the Krein realization of the Hilbert space for a massless scalar field in 1+1 dimensions. We find convergence criteria and the completion of the space of test functions ${\cal S}$ with the topology induced by the Krein scalar product. Finally, we show that the interpretation for the Fourier components as probability amplitudes for the momentum operator is lost in this case.
|
hep-th/9611070
|
Mo
|
U. Feichtinger, O. Moritsch, J. Rant, M. Schweda and H. Zerrouki
|
The finiteness of the four dimensional antisymmetric tensor field model
in a curved background
|
23 pages
|
Int.J.Mod.Phys. A13 (1998) 4513-4538
|
10.1142/S0217751X98002171
|
TUW 96-18
|
hep-th
| null |
A renormalizable rigid supersymmetry for the four dimensional antisymmetric
tensor field model in a curved space-time background is constructed. A closed
algebra between the BRS and the supersymmetry operators is only realizable if
the vector parameter of the supersymmetry is a covariantly constant vector
field. This also guarantees that the corresponding transformations lead to a
genuine symmetry of the model. The proof of the ultraviolet finiteness to all
orders of perturbation theory is performed in a pure algebraic manner by using
the rigid supersymmetry.
|
[
{
"created": "Tue, 12 Nov 1996 00:16:52 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Jan 1998 16:05:11 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Feichtinger",
"U.",
""
],
[
"Moritsch",
"O.",
""
],
[
"Rant",
"J.",
""
],
[
"Schweda",
"M.",
""
],
[
"Zerrouki",
"H.",
""
]
] |
A renormalizable rigid supersymmetry for the four dimensional antisymmetric tensor field model in a curved space-time background is constructed. A closed algebra between the BRS and the supersymmetry operators is only realizable if the vector parameter of the supersymmetry is a covariantly constant vector field. This also guarantees that the corresponding transformations lead to a genuine symmetry of the model. The proof of the ultraviolet finiteness to all orders of perturbation theory is performed in a pure algebraic manner by using the rigid supersymmetry.
|
1911.07835
|
James Halverson
|
James Halverson, Michael Plesser, Fabian Ruehle, Jiahua Tian
|
Kahler Moduli Stabilization and the Propagation of Decidability
|
12 pages, one figure
|
Phys. Rev. D 101, 046010 (2020)
|
10.1103/PhysRevD.101.046010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Diophantine equations are in general undecidable, yet appear readily in
string theory. We demonstrate that numerous classes of Diophantine equations
arising in string theory are decidable and propose that decidability may
propagate through networks of string vacua due to additional structure in the
theory. Diophantine equations arising in index computations relevant for
D3-instanton corrections to the superpotential exhibit propagation of
decidability, with new and existing solutions propagating through networks of
geometries related by topological transitions. In the geometries we consider,
most divisor classes appear in at least one solution, significantly improving
prospects for Kahler moduli stabilization across large ensembles of string
compactifications.
|
[
{
"created": "Mon, 18 Nov 2019 18:55:42 GMT",
"version": "v1"
}
] |
2020-02-19
|
[
[
"Halverson",
"James",
""
],
[
"Plesser",
"Michael",
""
],
[
"Ruehle",
"Fabian",
""
],
[
"Tian",
"Jiahua",
""
]
] |
Diophantine equations are in general undecidable, yet appear readily in string theory. We demonstrate that numerous classes of Diophantine equations arising in string theory are decidable and propose that decidability may propagate through networks of string vacua due to additional structure in the theory. Diophantine equations arising in index computations relevant for D3-instanton corrections to the superpotential exhibit propagation of decidability, with new and existing solutions propagating through networks of geometries related by topological transitions. In the geometries we consider, most divisor classes appear in at least one solution, significantly improving prospects for Kahler moduli stabilization across large ensembles of string compactifications.
|
hep-th/9608192
|
Marcelo Maria De Francia
|
M. De Francia, H. Falomir and M. Loewe
|
Massless fermions in a bag at finite density and temperature
|
14 pages, 3 figures, RevTeX
|
Phys.Rev. D55 (1997) 2477-2485
|
10.1103/PhysRevD.55.2477
|
LA PLATA-TH 96/12
|
hep-th
| null |
We introduce the chemical potential in a system of massless fermions in a bag
by impossing boundary conditions in the Euclidean time direction. We express
the fermionic mean number in terms of a functional trace involving the Green's
function of the boundary value problem, which we study analytically. Numerical
evaluations are made, and an application to a simple hadron model is discussed.
|
[
{
"created": "Thu, 29 Aug 1996 15:00:21 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"De Francia",
"M.",
""
],
[
"Falomir",
"H.",
""
],
[
"Loewe",
"M.",
""
]
] |
We introduce the chemical potential in a system of massless fermions in a bag by impossing boundary conditions in the Euclidean time direction. We express the fermionic mean number in terms of a functional trace involving the Green's function of the boundary value problem, which we study analytically. Numerical evaluations are made, and an application to a simple hadron model is discussed.
|
hep-th/9603178
|
Harry Braden
|
H. W. Braden and Andrew N. W. Hone
|
Affine Toda Solitons and Systems of Calogero-Moser Type
|
11 pages Latex2e. Some typos corrected
|
Phys.Lett. B380 (1996) 296-302
|
10.1016/0370-2693(96)00499-6
| null |
hep-th nlin.SI solv-int
| null |
The solitons of affine Toda field theory are related to the spin-generalised
Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides
the sought after extension of the correspondence between the sine-Gordon
solitons and the Ruijsenaars-Schneider model.
|
[
{
"created": "Wed, 27 Mar 1996 06:16:04 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 1996 10:29:50 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Braden",
"H. W.",
""
],
[
"Hone",
"Andrew N. W.",
""
]
] |
The solitons of affine Toda field theory are related to the spin-generalised Ruijsenaars-Schneider (or relativistic Calogero-Moser) models. This provides the sought after extension of the correspondence between the sine-Gordon solitons and the Ruijsenaars-Schneider model.
|
hep-th/9605165
|
Edward P. Osipov
|
Edward P. Osipov (Sobolev Institute for Mathematics, Novosibirsk,
Russia)
|
Complex structure and the construction of the $:\phi^4_4:$ quantum field
theory in four-dimensional space-time
|
10 pages, LaTeX
| null | null | null |
hep-th funct-an math.FA nlin.SI quant-ph solv-int
| null |
We announce results about the nonperturbative mathematically rigorous
construction of the $:\!\phi^4_4\!:$ quantum field theory in four-dimensional
space-time. The complex structure of solutions of the classical nonlinear
(real-valued) wave equation and quantization are closely connected among
themselves and allow to construct non-perturbatively the quantum field theory
with interaction $:\!\phi^4_4\!:$ in four-dimensional space-time. We consider
vacuum averages, in particular, we construct Wightman functions and matrix
elements of the scattering operator as generalized functions for finite
energies. The constructed theory is obviously nontrivial.
|
[
{
"created": "Wed, 22 May 1996 03:29:43 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Osipov",
"Edward P.",
"",
"Sobolev Institute for Mathematics, Novosibirsk,\n Russia"
]
] |
We announce results about the nonperturbative mathematically rigorous construction of the $:\!\phi^4_4\!:$ quantum field theory in four-dimensional space-time. The complex structure of solutions of the classical nonlinear (real-valued) wave equation and quantization are closely connected among themselves and allow to construct non-perturbatively the quantum field theory with interaction $:\!\phi^4_4\!:$ in four-dimensional space-time. We consider vacuum averages, in particular, we construct Wightman functions and matrix elements of the scattering operator as generalized functions for finite energies. The constructed theory is obviously nontrivial.
|
2006.16289
|
Elizabeth Wildenhain
|
Raphael Bousso and Elizabeth Wildenhain
|
Gravity/Ensemble Duality
|
43 pages, 12 figures, v2: references added, v3: published version,
various minor improvements
|
Phys. Rev. D 102, 066005 (2020)
|
10.1103/PhysRevD.102.066005
| null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
For the first time, a gravitational calculation was recently shown to yield
the Page curve for the entropy of Hawking radiation, consistent with unitary
evolution. However, the calculation takes as essential input Hawking's result
that the radiation entropy becomes large at late times. We call this apparent
contradiction the state paradox. We exhibit its manifestations in standard and
doubly-holographic settings, with and without an external bath. We clarify
which version(s) of the Ryu-Takayanagi prescription apply in each setting. We
show that the two possible homology rules in the presence of a braneworld
generate a bulk dual of the state paradox. The paradox is resolved if the
gravitational path integral computes averaged quantities in a suitable ensemble
of unitary theories, a possibility supported independently by several recent
developments.
|
[
{
"created": "Mon, 29 Jun 2020 18:07:28 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Jul 2020 22:54:52 GMT",
"version": "v2"
},
{
"created": "Fri, 18 Sep 2020 02:00:41 GMT",
"version": "v3"
}
] |
2020-09-23
|
[
[
"Bousso",
"Raphael",
""
],
[
"Wildenhain",
"Elizabeth",
""
]
] |
For the first time, a gravitational calculation was recently shown to yield the Page curve for the entropy of Hawking radiation, consistent with unitary evolution. However, the calculation takes as essential input Hawking's result that the radiation entropy becomes large at late times. We call this apparent contradiction the state paradox. We exhibit its manifestations in standard and doubly-holographic settings, with and without an external bath. We clarify which version(s) of the Ryu-Takayanagi prescription apply in each setting. We show that the two possible homology rules in the presence of a braneworld generate a bulk dual of the state paradox. The paradox is resolved if the gravitational path integral computes averaged quantities in a suitable ensemble of unitary theories, a possibility supported independently by several recent developments.
|
1707.02971
|
Borja Reina
|
Kepa Sousa, Guillermo Milans del Bosch, Borja Reina
|
Supertranslations: redundancies of horizon data, and global symmetries
at null infinity
|
42 pages + appendices
| null |
10.1088/1361-6382/aa9669
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We characterise the geometrical nature of smooth supertranslations defined on
a generic non-expanding horizon (NEH) embedded in vacuum. To this end we
consider the constraints imposed by the vacuum Einstein's equations on the NEH
structure, and discuss the transformation properties of their solutions under
supertranslations. We present a freely specifiable data set which is both
necessary and sufficient to reconstruct the full horizon geometry, and is
composed of objects which are invariant under supertranslations. We conclude
that smooth supertranslations do not transform the geometry of the NEH, and
that they should be regarded as pure gauge. Our results apply both to
stationary, and non-stationary states of a NEH, the later ones being able to
describe radiative processes taking place on the horizon. As a consistency
check we repeat the analysis for BMS supertranslations defined on null
infinity, $\mathcal{I}$. Using the same framework as for the NEH we recover the
well known result that BMS supertranslations act non-trivially on the free data
on $\mathcal{I}$. The full analysis is done in exact, non-linear, general
relativity.
|
[
{
"created": "Mon, 10 Jul 2017 17:59:51 GMT",
"version": "v1"
}
] |
2018-02-14
|
[
[
"Sousa",
"Kepa",
""
],
[
"del Bosch",
"Guillermo Milans",
""
],
[
"Reina",
"Borja",
""
]
] |
We characterise the geometrical nature of smooth supertranslations defined on a generic non-expanding horizon (NEH) embedded in vacuum. To this end we consider the constraints imposed by the vacuum Einstein's equations on the NEH structure, and discuss the transformation properties of their solutions under supertranslations. We present a freely specifiable data set which is both necessary and sufficient to reconstruct the full horizon geometry, and is composed of objects which are invariant under supertranslations. We conclude that smooth supertranslations do not transform the geometry of the NEH, and that they should be regarded as pure gauge. Our results apply both to stationary, and non-stationary states of a NEH, the later ones being able to describe radiative processes taking place on the horizon. As a consistency check we repeat the analysis for BMS supertranslations defined on null infinity, $\mathcal{I}$. Using the same framework as for the NEH we recover the well known result that BMS supertranslations act non-trivially on the free data on $\mathcal{I}$. The full analysis is done in exact, non-linear, general relativity.
|
hep-th/0009061
|
Kentaro Hori
|
Gary Gibbons, Kentaro Hori, Piljin Yi
|
String Fluid from Unstable D-branes
|
17 pages, LaTeX, a reference added
|
Nucl.Phys.B596:136-150,2001
|
10.1016/S0550-3213(00)00716-1
|
DAMTP-2000-98, HUTP-00/A038, KIAS-P00057
|
hep-th
| null |
We consider Sen's effective action for unstable D-branes, and study its
classical dynamics exactly. In the true vacuum, the Hamiltonian dynamics
remains well-defined despite a vanishing action, and is that of massive
relativistic string fluid of freely moving electric flux lines. The
energy(tension) density equals the flux density in the local co-moving frame.
Furthermore, a finite dual Lagrangian exists and is related to the
Nielsen-Olesen field theory of ``dual'' strings, supplemented by a crucial
constraint. We conclude with discussion on the endpoint of tachyon
condensation.
|
[
{
"created": "Fri, 8 Sep 2000 15:25:29 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2000 02:31:16 GMT",
"version": "v2"
}
] |
2009-10-07
|
[
[
"Gibbons",
"Gary",
""
],
[
"Hori",
"Kentaro",
""
],
[
"Yi",
"Piljin",
""
]
] |
We consider Sen's effective action for unstable D-branes, and study its classical dynamics exactly. In the true vacuum, the Hamiltonian dynamics remains well-defined despite a vanishing action, and is that of massive relativistic string fluid of freely moving electric flux lines. The energy(tension) density equals the flux density in the local co-moving frame. Furthermore, a finite dual Lagrangian exists and is related to the Nielsen-Olesen field theory of ``dual'' strings, supplemented by a crucial constraint. We conclude with discussion on the endpoint of tachyon condensation.
|
1609.02558
|
James T. Liu
|
James T. Liu and Wenli Zhao
|
One-loop supergravity on $\mathrm{AdS}_4\times S^7/\mathbb{Z}_k$ and
comparison with ABJM theory
|
22 pages, 1 figure, discussion on the O(N^{1/2}) order and references
added
| null |
10.1007/JHEP11(2016)099
|
MCTP-16-21
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The large-$N$ limit of ABJM theory is holographically dual to M-theory on
AdS$_4\times S^7/\mathbb{Z}_k$. The 3-sphere partition function has been
obtained via localization, and its leading behavior $F_{\text{ABJM}}^{(0)}\sim
k^{1/2}N^{3/2}$ is exactly reproduced in the dual theory by tree-level
supergravity. We extend this comparison to the sub-leading $\mathcal O(N^0)$
order by computing the one-loop supergravity free energy as a function of $k$
and comparing it with the ABJM result. Curiously, we find that the expressions
do not match, with $F_{\text{SUGRA}}^{(1)}\sim k^6$, while
$F_{\text{ABJM}}^{(1)}\sim k^2$. This suggests that the low-energy
approximation $Z_{\text{M-theory}}=Z_{\text{SUGRA}}$ breaks down at one-loop
order.
|
[
{
"created": "Thu, 8 Sep 2016 20:00:01 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Sep 2016 14:20:40 GMT",
"version": "v2"
},
{
"created": "Tue, 1 Nov 2016 16:59:58 GMT",
"version": "v3"
}
] |
2016-12-21
|
[
[
"Liu",
"James T.",
""
],
[
"Zhao",
"Wenli",
""
]
] |
The large-$N$ limit of ABJM theory is holographically dual to M-theory on AdS$_4\times S^7/\mathbb{Z}_k$. The 3-sphere partition function has been obtained via localization, and its leading behavior $F_{\text{ABJM}}^{(0)}\sim k^{1/2}N^{3/2}$ is exactly reproduced in the dual theory by tree-level supergravity. We extend this comparison to the sub-leading $\mathcal O(N^0)$ order by computing the one-loop supergravity free energy as a function of $k$ and comparing it with the ABJM result. Curiously, we find that the expressions do not match, with $F_{\text{SUGRA}}^{(1)}\sim k^6$, while $F_{\text{ABJM}}^{(1)}\sim k^2$. This suggests that the low-energy approximation $Z_{\text{M-theory}}=Z_{\text{SUGRA}}$ breaks down at one-loop order.
|
1508.04432
|
Adolfo Guarino
|
Adolfo Guarino and Oscar Varela
|
Dyonic ISO(7) supergravity and the duality hierarchy
|
52 pages, 4 tables. v2: Section 2.4 on critical points added. v3:
Version published in JHEP
| null |
10.1007/JHEP02(2016)079
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Motivated by its well defined higher dimensional origin, a detailed study of
$D=4$ $\mathcal{N}=8$ supergravity with a dyonically gauged $\textrm{ISO}(7) =
\textrm{SO}(7) \ltimes \mathbb{R}^7$ gauge group is performed. We write down
the Lagrangian and describe the tensor and duality hierarchies, focusing on an
interesting subsector with closed field equations and supersymmetry
transformations. We then truncate the $\mathcal{N}=8$ theory to some smaller
sectors with $\mathcal{N}=2$ and $\mathcal{N}=1$ supersymmetry and SU(3),
$\textrm{G}_2$ and SO(4) bosonic symmetry. Canonical and superpotential
formulations for these sectors are given, and their vacuum structure and
spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic
gauging displays a rich structure of vacua, all of them AdS. We recover all
previously known ones and find a new $\mathcal{N}=1$ vacuum with SU(3) symmetry
and various non-supersymmetric vacua, all of them stable within the full
$\mathcal{N}=8$ theory.
|
[
{
"created": "Tue, 18 Aug 2015 20:08:18 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2015 21:29:05 GMT",
"version": "v2"
},
{
"created": "Wed, 17 Feb 2016 22:17:10 GMT",
"version": "v3"
}
] |
2016-03-23
|
[
[
"Guarino",
"Adolfo",
""
],
[
"Varela",
"Oscar",
""
]
] |
Motivated by its well defined higher dimensional origin, a detailed study of $D=4$ $\mathcal{N}=8$ supergravity with a dyonically gauged $\textrm{ISO}(7) = \textrm{SO}(7) \ltimes \mathbb{R}^7$ gauge group is performed. We write down the Lagrangian and describe the tensor and duality hierarchies, focusing on an interesting subsector with closed field equations and supersymmetry transformations. We then truncate the $\mathcal{N}=8$ theory to some smaller sectors with $\mathcal{N}=2$ and $\mathcal{N}=1$ supersymmetry and SU(3), $\textrm{G}_2$ and SO(4) bosonic symmetry. Canonical and superpotential formulations for these sectors are given, and their vacuum structure and spectra is analysed. Unlike the purely electric ISO(7) gauging, the dyonic gauging displays a rich structure of vacua, all of them AdS. We recover all previously known ones and find a new $\mathcal{N}=1$ vacuum with SU(3) symmetry and various non-supersymmetric vacua, all of them stable within the full $\mathcal{N}=8$ theory.
|
hep-th/0002183
|
Misha Vasiliev
|
M.A.Vasiliev (Lebedev Physical Institute)
|
Higher Spin Symmetries, Star-Product and Relativistic Equations in AdS
Space
|
21 pages, latex, no figures, Based on the talks given at QFTHEP'99
(Moscow, May 1999), Supersymmetries and Quantum Symmetries (Dubna, July
1999), Bogolyubov Conference Problems of Theoretical and Mathematical Physics
(Moscow-Dubna-Kyiv, Sept-Oct. 1999) and Symmetry and Integrability in
Mathematical and Theoretical Physics, the Conference in Memory of
M.V.Saveliev (Protvino, January 2000)
| null | null |
FIAN/TD/7--00
|
hep-th
| null |
We discuss general properties of the theory of higher spin gauge fields in
$AdS_4$ focusing on the relationship between the star-product origin of the
higher spin symmetries, AdS geometry and the concept of space-time locality. A
full list of conserved higher spin currents in the flat space of arbitrary
dimension is presented.
|
[
{
"created": "Tue, 22 Feb 2000 15:55:30 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Vasiliev",
"M. A.",
"",
"Lebedev Physical Institute"
]
] |
We discuss general properties of the theory of higher spin gauge fields in $AdS_4$ focusing on the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality. A full list of conserved higher spin currents in the flat space of arbitrary dimension is presented.
|
1508.04350
|
Cornelius Schmidt-Colinet
|
Ilka Brunner and Cornelius Schmidt-Colinet
|
Reflection and transmission of conformal perturbation defects
|
24 pages, 1 figure. Minor explanations and some references added,
typos corrected
| null |
10.1088/1751-8113/49/19/195401
|
LMU-ASC 58/15
|
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider reflection and transmission of interfaces which implement
renormalisation group flows between conformal fixed points in two dimensions.
Such an RG interface is constructed from the identity defect in the ultraviolet
CFT by perturbing the theory on one side of the defect line. We compute
reflection and transmission coefficients in perturbation theory to third order
in the coupling constant and check our calculations against exact constructions
of RG interfaces between coset models.
|
[
{
"created": "Tue, 18 Aug 2015 15:27:00 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Mar 2016 11:52:22 GMT",
"version": "v2"
}
] |
2016-05-04
|
[
[
"Brunner",
"Ilka",
""
],
[
"Schmidt-Colinet",
"Cornelius",
""
]
] |
We consider reflection and transmission of interfaces which implement renormalisation group flows between conformal fixed points in two dimensions. Such an RG interface is constructed from the identity defect in the ultraviolet CFT by perturbing the theory on one side of the defect line. We compute reflection and transmission coefficients in perturbation theory to third order in the coupling constant and check our calculations against exact constructions of RG interfaces between coset models.
|
hep-th/0503225
|
Eugenio R. Bezerra de Mello
|
J. Spinelly and E. R. Bezerra de Mello
|
Vacuum Polarization of a Massless Scalar Field in the Background of a
Global Monopole with Finite Core
|
Accepted for publication in Classical and Quantum Gravity. Added
references. 22 pages, 1 figure
|
Class.Quant.Grav. 22 (2005) 3247-3260
|
10.1088/0264-9381/22/16/009
| null |
hep-th gr-qc
| null |
In this paper we analyze the vacuum polarization effects of a massless scalar
field in the background of a global monopole considering a inner structure to
it. Specifically we investigate the effect of its structure on the vacuum
expectation value of the square of the field operator, $<\hat{\Phi}^2(x)>$,
admitting a non-minimal coupling between the field with the geometry: $\xi
{\cal{R}}\hat{\Phi}^2$. Also we calculate the corrections on the vacuum
expectation value of the energy-momentum tensor, $<\hat{T}_{\mu\nu}>$, due to
the inner structure of the monopole. In order to develop these analysis, we
calculate the Euclidean Green function associated with the system for points in
the region outside the core. As we shall see, for specific value of the
coupling parameter $\xi$, the corrections caused by the inner structure of the
monopole can provide relevant contributions on these vacuum polarizations.
|
[
{
"created": "Tue, 29 Mar 2005 13:01:25 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jun 2005 12:03:05 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Spinelly",
"J.",
""
],
[
"de Mello",
"E. R. Bezerra",
""
]
] |
In this paper we analyze the vacuum polarization effects of a massless scalar field in the background of a global monopole considering a inner structure to it. Specifically we investigate the effect of its structure on the vacuum expectation value of the square of the field operator, $<\hat{\Phi}^2(x)>$, admitting a non-minimal coupling between the field with the geometry: $\xi {\cal{R}}\hat{\Phi}^2$. Also we calculate the corrections on the vacuum expectation value of the energy-momentum tensor, $<\hat{T}_{\mu\nu}>$, due to the inner structure of the monopole. In order to develop these analysis, we calculate the Euclidean Green function associated with the system for points in the region outside the core. As we shall see, for specific value of the coupling parameter $\xi$, the corrections caused by the inner structure of the monopole can provide relevant contributions on these vacuum polarizations.
|
hep-th/9704087
|
Richard A. Corrado
|
David Berenstein, Richard Corrado, and Jacques Distler
|
On the Moduli Spaces of M(atrix)-Theory Compactifications
|
19 pages LaTeX2e, using utarticle.cls (included),array.sty,
amsmath.sty, amsfonts.sty. Bibtex style: utphys.bst (.bbl file included)
|
Nucl.Phys.B503:239-255,1997
|
10.1016/S0550-3213(97)00427-6
|
UTTG-08-97
|
hep-th
| null |
By identifying the moduli space of coupling constants in the SYM description
of toroidal compactifications of M(atrix)-Theory, we construct the M(atrix)
description of the moduli spaces of Type IIA string theory compactified on T^n.
Addition of theta terms to the M(atrix) SYM produces the shift symmetries
necessary to recover the correct global structure of the moduli spaces. Up to
n=3, the corresponding BPS charges transform under the proper representations
of the U-duality groups. For n=4,5, if we make the ansatz of including the BPS
charges corresponding to the wrapped M-theory 5-brane, the correspondence with
Type IIA continues to hold. However, for n=6, we find additional charges for
which there are no obvious candidates in M(atrix)-Theory.
|
[
{
"created": "Thu, 10 Apr 1997 21:00:34 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Berenstein",
"David",
""
],
[
"Corrado",
"Richard",
""
],
[
"Distler",
"Jacques",
""
]
] |
By identifying the moduli space of coupling constants in the SYM description of toroidal compactifications of M(atrix)-Theory, we construct the M(atrix) description of the moduli spaces of Type IIA string theory compactified on T^n. Addition of theta terms to the M(atrix) SYM produces the shift symmetries necessary to recover the correct global structure of the moduli spaces. Up to n=3, the corresponding BPS charges transform under the proper representations of the U-duality groups. For n=4,5, if we make the ansatz of including the BPS charges corresponding to the wrapped M-theory 5-brane, the correspondence with Type IIA continues to hold. However, for n=6, we find additional charges for which there are no obvious candidates in M(atrix)-Theory.
|
1007.2268
|
Alon Faraggi
|
Benjamin Assel, Kyriakos Christodoulides, Alon E. Faraggi, Costas
Kounnas, John Rizos
|
Classification of Heterotic Pati-Salam Models
|
42 pages. 6 figures. Published version. Added acknowledgements
|
Nucl.Phys.B844:365-396,2011
|
10.1016/j.nuclphysb.2010.11.011
|
LPTENS-10/26; LTH--878
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the classification of free fermionic heterotic-string models to
vacua in which the SO(10) GUT symmetry is broken at the string level to the
Pati-Salam subgroup. Using our classification method we recently presented the
first example of a quasi--realistic heterotic-string vacuum that is free of
massless exotic states. Within this method we are able to derive algebraic
expressions for the generalised GSO projections for all sectors that appear in
the models. This facilitates the programming of the entire spectrum analysis in
a computer code. The total number of vacua in the class of models that we
classify is 2^{51} ~ 10^{15}. We perform a statistical sampling in this space
of models and extract 10^{11} distinct configurations with Pati-Salam gauge
group. Our results demonstrate that one in every 10^{6} vacua correspond to a
three generation exophobic model with the required Higgs states, needed to
induce spontaneous breaking to the Standard Model.
|
[
{
"created": "Wed, 14 Jul 2010 07:06:47 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Feb 2011 17:23:57 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Apr 2011 15:14:29 GMT",
"version": "v3"
}
] |
2011-05-10
|
[
[
"Assel",
"Benjamin",
""
],
[
"Christodoulides",
"Kyriakos",
""
],
[
"Faraggi",
"Alon E.",
""
],
[
"Kounnas",
"Costas",
""
],
[
"Rizos",
"John",
""
]
] |
We extend the classification of free fermionic heterotic-string models to vacua in which the SO(10) GUT symmetry is broken at the string level to the Pati-Salam subgroup. Using our classification method we recently presented the first example of a quasi--realistic heterotic-string vacuum that is free of massless exotic states. Within this method we are able to derive algebraic expressions for the generalised GSO projections for all sectors that appear in the models. This facilitates the programming of the entire spectrum analysis in a computer code. The total number of vacua in the class of models that we classify is 2^{51} ~ 10^{15}. We perform a statistical sampling in this space of models and extract 10^{11} distinct configurations with Pati-Salam gauge group. Our results demonstrate that one in every 10^{6} vacua correspond to a three generation exophobic model with the required Higgs states, needed to induce spontaneous breaking to the Standard Model.
|
hep-th/0109074
|
Zygmunt Lalak
|
Zygmunt Lalak
|
Low Energy Supersymmetry in Warped Brane Worlds
|
9 pages, Latex, Talk given at SUSY'01, June 11-17 2001, Dubna, Russia
| null |
10.1142/9789812778192_0058
|
CERN-TH/2001-244
|
hep-th
| null |
We discuss physical implications of the four-dimensional effective
supergravity, that describes low-energy physics of the Randall--Sundrum model
with moduli fields in the bulk and charged chiral matter living on the branes.
Cosmological constant can be cancelled through the introduction of a brane
Polonyi field and a brane superpotential for the 4d dilaton. We deduce a
generalization of the effective 4d action to the case of a general, not
necessarily exponential, warp factor. We note, that breakdown of supersymmetry
in generic warped models may lead to the stabilization of the interbrane
distance.
|
[
{
"created": "Sat, 8 Sep 2001 18:25:39 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Lalak",
"Zygmunt",
""
]
] |
We discuss physical implications of the four-dimensional effective supergravity, that describes low-energy physics of the Randall--Sundrum model with moduli fields in the bulk and charged chiral matter living on the branes. Cosmological constant can be cancelled through the introduction of a brane Polonyi field and a brane superpotential for the 4d dilaton. We deduce a generalization of the effective 4d action to the case of a general, not necessarily exponential, warp factor. We note, that breakdown of supersymmetry in generic warped models may lead to the stabilization of the interbrane distance.
|
hep-th/0105217
|
Kazuo Hosomichi
|
Takeshi Fukuda and Kazuo Hosomichi
|
Three-point Functions in Sine-Liouville Theory
|
26 pages, 5 ps figures, v2:minor corrections(references to the work
of FZZ are made more precise)
|
JHEP 0109:003,2001
|
10.1088/1126-6708/2001/09/003
|
YITP-01-43
|
hep-th
| null |
We calculate the three-point functions in the sine-Liouville theory
explicitly. The same calculation was done in the (unpublished) work of Fateev,
Zamolodchikov and Zamolodchikov to check the conjectured duality between the
sine-Liouville and the SL(2,R)/U(1) coset CFTs. The evaluation of correlators
boils down to that of a free-field theory with a certain number of insertion of
screening operators. We prove that the winding number conservation is violated
up to (+-)1 in three-point functions, which is in agreement with the result of
FZZ that in generic N-point correlators the winding number conservation is
violated up to N-2 units. A new integral formula of Dotsenko-Fateev type is
derived, using which we write down the generic three-point functions of
tachyons explicitly. When the winding number is conserved, the resultant
expression is shown to reproduce the correlators in the coset model correctly,
including the group-theoretical factor. As an application, we also study the
superstring theory on linear dilaton background which is described by
super-Liouville theory. We obtain the three-point amplitude of tachyons in
which the winding number conservation is violated.
|
[
{
"created": "Tue, 22 May 2001 11:06:59 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jun 2001 09:37:59 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Fukuda",
"Takeshi",
""
],
[
"Hosomichi",
"Kazuo",
""
]
] |
We calculate the three-point functions in the sine-Liouville theory explicitly. The same calculation was done in the (unpublished) work of Fateev, Zamolodchikov and Zamolodchikov to check the conjectured duality between the sine-Liouville and the SL(2,R)/U(1) coset CFTs. The evaluation of correlators boils down to that of a free-field theory with a certain number of insertion of screening operators. We prove that the winding number conservation is violated up to (+-)1 in three-point functions, which is in agreement with the result of FZZ that in generic N-point correlators the winding number conservation is violated up to N-2 units. A new integral formula of Dotsenko-Fateev type is derived, using which we write down the generic three-point functions of tachyons explicitly. When the winding number is conserved, the resultant expression is shown to reproduce the correlators in the coset model correctly, including the group-theoretical factor. As an application, we also study the superstring theory on linear dilaton background which is described by super-Liouville theory. We obtain the three-point amplitude of tachyons in which the winding number conservation is violated.
|
1103.0634
|
Solange Odile Saliu
|
C. Bizdadea, E. M. Cioroianu, S. O. Saliu, E. M. Babalic
|
Yes-go cross-couplings in collections of tensor fields with mixed
symmetries of the type (3,1) and (2,2)
|
35 pages
|
Int.J.Mod.Phys.A25:1211-1238,2010
|
10.1142/S0217751X1004797X
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Under the hypotheses of analyticity, locality, Lorentz covariance, and
Poincare invariance of the deformations, combined with the requirement that the
interaction vertices contain at most two space-time derivatives of the fields,
we investigate the consistent cross-couplings between two collections of tensor
fields with the mixed symmetries of the type (3,1) and (2,2). The computations
are done with the help of the deformation theory based on a cohomological
approach in the context of the antifield-BRST formalism. Our results can be
synthesized in: 1. there appear consistent cross-couplings between the two
types of field collections at order one and two in the coupling constant such
that some of the gauge generators and of the reducibility functions are
deformed, and 2. the existence or not of cross-couplings among different fields
with the mixed symmetry of the Riemann tensor depends on the indefinite or
respectively positive-definite behaviour of the quadratic form defined by the
kinetic terms from the free Lagrangian.
|
[
{
"created": "Thu, 3 Mar 2011 09:44:39 GMT",
"version": "v1"
}
] |
2011-03-31
|
[
[
"Bizdadea",
"C.",
""
],
[
"Cioroianu",
"E. M.",
""
],
[
"Saliu",
"S. O.",
""
],
[
"Babalic",
"E. M.",
""
]
] |
Under the hypotheses of analyticity, locality, Lorentz covariance, and Poincare invariance of the deformations, combined with the requirement that the interaction vertices contain at most two space-time derivatives of the fields, we investigate the consistent cross-couplings between two collections of tensor fields with the mixed symmetries of the type (3,1) and (2,2). The computations are done with the help of the deformation theory based on a cohomological approach in the context of the antifield-BRST formalism. Our results can be synthesized in: 1. there appear consistent cross-couplings between the two types of field collections at order one and two in the coupling constant such that some of the gauge generators and of the reducibility functions are deformed, and 2. the existence or not of cross-couplings among different fields with the mixed symmetry of the Riemann tensor depends on the indefinite or respectively positive-definite behaviour of the quadratic form defined by the kinetic terms from the free Lagrangian.
|
2312.12390
|
Alessio Marrani
|
Alessio Marrani
|
Jordan meets Freudenthal. A Black Hole Exceptional Story
|
12 pages, 4 tables. Plenary talk presented at the 34th International
Colloquium on Group Theoretical Methods in Physics, Strasbourg, July 18-22,
2022
|
SciPost Phys. Proc. 14, 009 (2023)
|
10.21468/SciPostPhysProc.14.009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Within the extremal black hole attractors arising in ungauged
$\mathcal{N}\geqslant 2$-extended Maxwell Einstein supergravity theories in
$3+1$ space-time dimensions, we provide an overview of the stratification of
the electric-magnetic charge representation space into "large" orbits and
related "moduli spaces", under the action of the (continuous limit of the)
non-compact $U$-duality Lie group. While each "large" orbit of the $U$-duality
supports a class of attractors, the corresponding "moduli space" is the proper
subspace of the scalar manifold spanned by those scalar fields on which the
Attractor Mechanism is inactive. We present the case study concerning
$\mathcal{N}=2$ supergravity theories with symmetric vector multiplets' scalar
manifold, which in all cases (with the exception of the minimally coupled
models) have the electric-magnetic charge representation of $U$-duality fitting
into a reduced Freudenthal triple system over a cubic (simple or semi-simple)
Jordan algebra.
|
[
{
"created": "Tue, 19 Dec 2023 18:20:38 GMT",
"version": "v1"
}
] |
2023-12-21
|
[
[
"Marrani",
"Alessio",
""
]
] |
Within the extremal black hole attractors arising in ungauged $\mathcal{N}\geqslant 2$-extended Maxwell Einstein supergravity theories in $3+1$ space-time dimensions, we provide an overview of the stratification of the electric-magnetic charge representation space into "large" orbits and related "moduli spaces", under the action of the (continuous limit of the) non-compact $U$-duality Lie group. While each "large" orbit of the $U$-duality supports a class of attractors, the corresponding "moduli space" is the proper subspace of the scalar manifold spanned by those scalar fields on which the Attractor Mechanism is inactive. We present the case study concerning $\mathcal{N}=2$ supergravity theories with symmetric vector multiplets' scalar manifold, which in all cases (with the exception of the minimally coupled models) have the electric-magnetic charge representation of $U$-duality fitting into a reduced Freudenthal triple system over a cubic (simple or semi-simple) Jordan algebra.
|
hep-th/9602095
|
Ali Mostafazadeh
|
Ali Mostafazadeh
|
Scalar Curvature Factor in the Schroedinger Equation and Scattering on a
Curved Surface
|
13 pages, latex. Some minor changes made, to appear in Phys. Rev. A.
|
Phys.Rev. A54 (1996) 1165-1170
|
10.1103/PhysRevA.54.1165
|
IPM preprint Feb. 1996
|
hep-th gr-qc
| null |
The scattering of free particles constrained to move on a cylindrically
symmetric curved surface is studied. The nontrivial geometry of the space
contributes to the scattering cross section through the kinetic as well as a
possible scalar curvature term in the quantum Hamiltonian. The coefficient of
the latter term is known to be related to the factor ordering problem in curved
space quantization. Hence, in principle, the scattering data may be used to
provide an experimental resolution of the theoretical factor ordering
ambiguity. To demonstrate the sensitivity required of such an experimental
setup, the effect of a localized magnetic field in the scattering process is
also analyzed.
|
[
{
"created": "Sat, 17 Feb 1996 23:32:42 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jul 1996 20:11:17 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Mostafazadeh",
"Ali",
""
]
] |
The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar curvature term in the quantum Hamiltonian. The coefficient of the latter term is known to be related to the factor ordering problem in curved space quantization. Hence, in principle, the scattering data may be used to provide an experimental resolution of the theoretical factor ordering ambiguity. To demonstrate the sensitivity required of such an experimental setup, the effect of a localized magnetic field in the scattering process is also analyzed.
|
0904.2765
|
David Kastor
|
David Kastor, Sourya Ray and Jennie Traschen
|
Enthalpy and the Mechanics of AdS Black Holes
|
21 pages; v2 references added
|
Class.Quant.Grav.26:195011,2009
|
10.1088/0264-9381/26/19/195011
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present geometric derivations of the Smarr formula for static AdS black
holes and an expanded first law that includes variations in the cosmological
constant. These two results are further related by a scaling argument based on
Euler's theorem. The key new ingredient in the constructions is a two-form
potential for the static Killing field. Surface integrals of the Killing
potential determine the coefficient of the variation of the cosmological
constant in the first law. This coefficient is proportional to a finite,
effective volume for the region outside the AdS black hole horizon, which can
also be interpreted as minus the volume excluded from a spatial slice by the
black hole horizon. This effective volume also contributes to the Smarr
formula. Since the cosmological constant is naturally thought of as a pressure,
the new term in the first law has the form of effective volume times change in
pressure that arises in the variation of the enthalpy in classical
thermodynamics. This and related arguments suggest that the mass of an AdS
black hole should be interpreted as the enthalpy of the spacetime.
|
[
{
"created": "Fri, 17 Apr 2009 19:07:41 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2009 12:31:33 GMT",
"version": "v2"
}
] |
2010-04-23
|
[
[
"Kastor",
"David",
""
],
[
"Ray",
"Sourya",
""
],
[
"Traschen",
"Jennie",
""
]
] |
We present geometric derivations of the Smarr formula for static AdS black holes and an expanded first law that includes variations in the cosmological constant. These two results are further related by a scaling argument based on Euler's theorem. The key new ingredient in the constructions is a two-form potential for the static Killing field. Surface integrals of the Killing potential determine the coefficient of the variation of the cosmological constant in the first law. This coefficient is proportional to a finite, effective volume for the region outside the AdS black hole horizon, which can also be interpreted as minus the volume excluded from a spatial slice by the black hole horizon. This effective volume also contributes to the Smarr formula. Since the cosmological constant is naturally thought of as a pressure, the new term in the first law has the form of effective volume times change in pressure that arises in the variation of the enthalpy in classical thermodynamics. This and related arguments suggest that the mass of an AdS black hole should be interpreted as the enthalpy of the spacetime.
|
2104.11249
|
Seyed Morteza Hosseini
|
Seyed Morteza Hosseini, Kiril Hristov, Alberto Zaffaroni
|
Rotating multi-charge spindles and their microstates
|
39 pages, v2: references added
|
JHEP07(2021)182
|
10.1007/JHEP07(2021)182
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Some AdS$_3 \times M_7$ type IIB vacua have been recently proposed to arise
from D3-branes wrapped on a spindle, a sphere with conical singularities at the
poles. We explicitly construct a generalization of these solutions
corresponding to a class of electrically charged and rotating supersymmetric
black strings in AdS$_5 \times S^5$ with general magnetic fluxes on the
spindle. We then perform a counting of their microstates using the charged
Cardy formula. To this purpose, we derive the general form of the anomaly
polynomial of the dual $\mathcal{N} = (0 , 2)$ CFT in two dimensions and we
show that it can be obtained via a simple gluing procedure.
|
[
{
"created": "Thu, 22 Apr 2021 18:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2021 05:10:04 GMT",
"version": "v2"
}
] |
2021-07-27
|
[
[
"Hosseini",
"Seyed Morteza",
""
],
[
"Hristov",
"Kiril",
""
],
[
"Zaffaroni",
"Alberto",
""
]
] |
Some AdS$_3 \times M_7$ type IIB vacua have been recently proposed to arise from D3-branes wrapped on a spindle, a sphere with conical singularities at the poles. We explicitly construct a generalization of these solutions corresponding to a class of electrically charged and rotating supersymmetric black strings in AdS$_5 \times S^5$ with general magnetic fluxes on the spindle. We then perform a counting of their microstates using the charged Cardy formula. To this purpose, we derive the general form of the anomaly polynomial of the dual $\mathcal{N} = (0 , 2)$ CFT in two dimensions and we show that it can be obtained via a simple gluing procedure.
|
2304.12496
|
Abdelmalek Boumali
|
Abdelmalek Bouzenada, Abdelmalek Boumali, Omar Mustafa, Hassan
Hassanabadi
|
Behavior of the Feshbach-Villars oscillator (FVO) in G\"urses space-time
under Coulomb-type potential
|
arXiv admin note: substantial text overlap with arXiv:2302.13805
| null | null | null |
hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
Our research aims to investigate how the gravitational field influences the
spectroscopic structure of the Feshbach-Villars oscillator in G\"urses
space-time. To achieve this, we utilize the first-order Feshbach-Villars
version of the Klein-Gordon equation, which is a relativistic wave equation for
spinless particles. We examine the oscillator's quantum mechanical behavior in
the presence of a Coulomb-type potential, and calculate the resulting wave
functions and energy levels for both free and interacting scenarios. In
addition, we study the interaction between the Coulomb-type potential and
G\"urses space-time affects the Feshbach-Villars oscillator's behavior,
specifically with regard to its spectroscopic structure. This study has
important implications for our understanding of the interplay between quantum
mechanics, relativity, and gravitational fields at the microscopic level.
|
[
{
"created": "Mon, 24 Apr 2023 23:36:06 GMT",
"version": "v1"
}
] |
2023-04-26
|
[
[
"Bouzenada",
"Abdelmalek",
""
],
[
"Boumali",
"Abdelmalek",
""
],
[
"Mustafa",
"Omar",
""
],
[
"Hassanabadi",
"Hassan",
""
]
] |
Our research aims to investigate how the gravitational field influences the spectroscopic structure of the Feshbach-Villars oscillator in G\"urses space-time. To achieve this, we utilize the first-order Feshbach-Villars version of the Klein-Gordon equation, which is a relativistic wave equation for spinless particles. We examine the oscillator's quantum mechanical behavior in the presence of a Coulomb-type potential, and calculate the resulting wave functions and energy levels for both free and interacting scenarios. In addition, we study the interaction between the Coulomb-type potential and G\"urses space-time affects the Feshbach-Villars oscillator's behavior, specifically with regard to its spectroscopic structure. This study has important implications for our understanding of the interplay between quantum mechanics, relativity, and gravitational fields at the microscopic level.
|
2206.10853
|
Ali Hajilou
|
Seyed Naseh Sajadi, Ali Hajilou
|
More on Boundary Conditions for Warped AdS3 in GMG
|
15 pages, general discussion extended; typos corrected; references
added, accepted for publication in European Physical Journal C (EPJC)
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen
(ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the
framework of General Massive Gravity (GMG) in the quadratic ensemble. We
construct the phase space, the asymptotic structure, and the asymptotic
symmetry algebra. We know that the global surface charges are finite, but not
integrable, and also we find the conditions to make them integrable. In
addition, to confirm that the phase space has the same symmetry as that of
Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ
(WBTZ) black holes with the number of states belonging to a WCFT.
|
[
{
"created": "Wed, 22 Jun 2022 05:38:38 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Aug 2022 12:00:05 GMT",
"version": "v2"
},
{
"created": "Sat, 1 Oct 2022 11:10:29 GMT",
"version": "v3"
}
] |
2022-10-04
|
[
[
"Sajadi",
"Seyed Naseh",
""
],
[
"Hajilou",
"Ali",
""
]
] |
In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase space, the asymptotic structure, and the asymptotic symmetry algebra. We know that the global surface charges are finite, but not integrable, and also we find the conditions to make them integrable. In addition, to confirm that the phase space has the same symmetry as that of Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ (WBTZ) black holes with the number of states belonging to a WCFT.
|
1007.5449
|
Andrea Lionetto
|
F. Fucito, A. Lionetto, J. F. Morales, R. Richter
|
Dynamical Supersymmetry Breaking in Intersecting Brane Models
|
30 pages, 4 figures, pdflatex
|
JHEP 1011:024,2010
|
10.1007/JHEP11(2010)024
|
RM2F/2010/11
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we study dynamical supersymmetry breaking in absence of gravity
with the matter content of the minimal supersymmetric standard model. The
hidden sector of the theory is a strongly coupled gauge theory, realized in
terms of microscopic variables which condensate to form mesons. The
supersymmetry breaking scalar potential combines F, D terms with instanton
generated interactions in the Higgs-mesons sector. We show that for a large
region in parameter space the vacuum breaks in addition to supersymmetry also
electroweak gauge symmetry. We furthermore present local D-brane configurations
that realize these supersymmetry breaking patterns.
|
[
{
"created": "Fri, 30 Jul 2010 13:45:54 GMT",
"version": "v1"
}
] |
2010-11-11
|
[
[
"Fucito",
"F.",
""
],
[
"Lionetto",
"A.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Richter",
"R.",
""
]
] |
In this paper we study dynamical supersymmetry breaking in absence of gravity with the matter content of the minimal supersymmetric standard model. The hidden sector of the theory is a strongly coupled gauge theory, realized in terms of microscopic variables which condensate to form mesons. The supersymmetry breaking scalar potential combines F, D terms with instanton generated interactions in the Higgs-mesons sector. We show that for a large region in parameter space the vacuum breaks in addition to supersymmetry also electroweak gauge symmetry. We furthermore present local D-brane configurations that realize these supersymmetry breaking patterns.
|
hep-th/0311264
|
Itzhak Bars
|
Itzhak Bars and I.Y. Park
|
Improved Off-Shell Scattering Amplitudes in String Field Theory and New
Computational Methods
|
40 pages, 2 figures, LaTeX
|
Phys.Rev. D69 (2004) 086007
|
10.1103/PhysRevD.69.086007
|
USCHEP/0311ib6, CERN-CH/2003-285, OHSTPY-HEP-T-03-014
|
hep-th
| null |
We report on new results in Witten's cubic string field theory for the
off-shell factor in the 4-tachyon amplitude that was not fully obtained
explicitly before. This is achieved by completing the derivation of the
Veneziano formula in the Moyal star formulation of Witten's string field theory
(MSFT). We also demonstrate detailed agreement of MSFT with a number of
on-shell and off-shell computations in other approaches to Witten's string
field theory. We extend the techniques of computation in MSFT, and show that
the j=0 representation of SL(2,R) generated by the Virasoro operators
$L_{0},L_{\pm1}$ is a key structure in practical computations for generating
numbers. We provide more insight into the Moyal structure that simplifies
string field theory, and develop techniques that could be applied more
generally, including nonperturbative processes.
|
[
{
"created": "Thu, 27 Nov 2003 11:33:22 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Dec 2003 15:42:45 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bars",
"Itzhak",
""
],
[
"Park",
"I. Y.",
""
]
] |
We report on new results in Witten's cubic string field theory for the off-shell factor in the 4-tachyon amplitude that was not fully obtained explicitly before. This is achieved by completing the derivation of the Veneziano formula in the Moyal star formulation of Witten's string field theory (MSFT). We also demonstrate detailed agreement of MSFT with a number of on-shell and off-shell computations in other approaches to Witten's string field theory. We extend the techniques of computation in MSFT, and show that the j=0 representation of SL(2,R) generated by the Virasoro operators $L_{0},L_{\pm1}$ is a key structure in practical computations for generating numbers. We provide more insight into the Moyal structure that simplifies string field theory, and develop techniques that could be applied more generally, including nonperturbative processes.
|
2301.07242
|
Hajar Ebrahim
|
Hajar Ebrahim and Monireh Ahmadpour
|
Holographic entanglement entropy and mutual information in deformed
field theories at finite temperature
|
27 pages, 4 figures
| null |
10.1103/PhysRevD.107.086010
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper we have studied the effect of deformation and temperature on
holographic entanglement entropy and mutual information between two subsystems
in a deformed field theory at finite temperature. The $T{\overline{T}}$
deformation operator in field theory introduces a cut-off in the dual gravity
background. We define different regimes of parameters and calculate the
entanglement entropy and mutual information analytically. We observe that
temperature and deformation parameter have similar effects on entanglement
entropy and mutual information. They both lead to decrease in mutual
information or somehow the correlation between the two subsystems.
Interestingly we observe the emergence of correction terms in entanglement
entropy and mutual information that are universal and do not depend on the
scale of the non-local operator.
|
[
{
"created": "Wed, 18 Jan 2023 00:53:15 GMT",
"version": "v1"
}
] |
2023-04-25
|
[
[
"Ebrahim",
"Hajar",
""
],
[
"Ahmadpour",
"Monireh",
""
]
] |
In this paper we have studied the effect of deformation and temperature on holographic entanglement entropy and mutual information between two subsystems in a deformed field theory at finite temperature. The $T{\overline{T}}$ deformation operator in field theory introduces a cut-off in the dual gravity background. We define different regimes of parameters and calculate the entanglement entropy and mutual information analytically. We observe that temperature and deformation parameter have similar effects on entanglement entropy and mutual information. They both lead to decrease in mutual information or somehow the correlation between the two subsystems. Interestingly we observe the emergence of correction terms in entanglement entropy and mutual information that are universal and do not depend on the scale of the non-local operator.
|
hep-th/0107166
|
Gary Shiu
|
Mirjam Cvetic, Gary Shiu and Angel M. Uranga
|
Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from
Intersecting D6-Branes
|
39 pages, 2 figures, minor typos corrected, references added
|
Nucl.Phys.B615:3-32,2001
|
10.1016/S0550-3213(01)00427-8
|
UPR-943-T, CERN-TH/2001-182, CAMTP/01-8
|
hep-th hep-ph
| null |
We construct N=1 supersymmetric four-dimensional orientifolds of type IIA on
T^6/(Z_2 x Z_2) with D6-branes intersecting at angles. The use of D6-branes not
fully aligned with the O6-planes in the model allows for a construction of many
supersymmetric models with chiral matter, including those with the Standard
Model and grand unified gauge groups. We perform a search for realistic gauge
sectors, and construct the first example of a supersymmetric type II
orientifold with SU(3)_C x SU(2)_L x U(1)_Y gauge group and three quark-lepton
families. In addition to the supersymmetric Standard Model content, the model
contains right-handed neutrinos, a (chiral but anomaly-free) set of exotic
multiplets, and diverse vector-like multiplets. The general class of these
constructions are related to familiar type II orientifolds by small instanton
transitions, which in some cases change the number of generations, as discussed
in specific models. These constructions are supersymmetric only for special
choices of untwisted moduli. We briefly discuss the supersymmetry breaking
effects away from that point. The M-theory lift of this general class of
supersymmetric orientifold models should correspond to purely geometrical
backgrounds admitting a singular G_2 holonomy metric and leading to
four-dimensional M-theory vacua with chiral fermions.
|
[
{
"created": "Thu, 19 Jul 2001 22:53:02 GMT",
"version": "v1"
},
{
"created": "Wed, 25 Jul 2001 18:57:58 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Cvetic",
"Mirjam",
""
],
[
"Shiu",
"Gary",
""
],
[
"Uranga",
"Angel M.",
""
]
] |
We construct N=1 supersymmetric four-dimensional orientifolds of type IIA on T^6/(Z_2 x Z_2) with D6-branes intersecting at angles. The use of D6-branes not fully aligned with the O6-planes in the model allows for a construction of many supersymmetric models with chiral matter, including those with the Standard Model and grand unified gauge groups. We perform a search for realistic gauge sectors, and construct the first example of a supersymmetric type II orientifold with SU(3)_C x SU(2)_L x U(1)_Y gauge group and three quark-lepton families. In addition to the supersymmetric Standard Model content, the model contains right-handed neutrinos, a (chiral but anomaly-free) set of exotic multiplets, and diverse vector-like multiplets. The general class of these constructions are related to familiar type II orientifolds by small instanton transitions, which in some cases change the number of generations, as discussed in specific models. These constructions are supersymmetric only for special choices of untwisted moduli. We briefly discuss the supersymmetry breaking effects away from that point. The M-theory lift of this general class of supersymmetric orientifold models should correspond to purely geometrical backgrounds admitting a singular G_2 holonomy metric and leading to four-dimensional M-theory vacua with chiral fermions.
|
0704.0929
|
Hyun Seok Yang
|
Hyun Seok Yang
|
Noncommutative Electromagnetism As A Large N Gauge Theory
|
25 pages; More clarifications, to appear in Eur. Phys. J. C
|
Eur.Phys.J.C64:445-457,2009
|
10.1140/epjc/s10052-009-1117-9
|
HU-EP-07/12
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We map noncommutative (NC) U(1) gauge theory on R^d_C X R^{2n}_{NC} to U(N ->
\infty) Yang-Mills theory on R^d_C, where R^d_C is a d-dimensional commutative
spacetime while R^{2n}_{NC} is a 2n-dimensional NC space. The resulting U(N)
Yang-Mills theory on R^d_C is equivalent to that obtained by the dimensional
reduction of (d+2n)-dimensional U(N) Yang-Mills theory onto R^d_C. We show that
the gauge-Higgs system (A_\mu,\Phi^a) in the U(N -> \infty) Yang-Mills theory
on R^d_C leads to an emergent geometry in the (d+2n)-dimensional spacetime
whose metric was determined by Ward a long time ago. In particular, the
10-dimensional gravity for d=4 and n=3 corresponds to the emergent geometry
arising from the 4-dimensional N=4 vector multiplet in the AdS/CFT duality. We
further elucidate the emergent gravity by showing that the gauge-Higgs system
(A_\mu,\Phi^a) in half-BPS configurations describes self-dual Einstein gravity.
|
[
{
"created": "Mon, 9 Apr 2007 19:54:16 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Apr 2007 15:54:21 GMT",
"version": "v2"
},
{
"created": "Mon, 3 Aug 2009 02:53:10 GMT",
"version": "v3"
}
] |
2009-11-05
|
[
[
"Yang",
"Hyun Seok",
""
]
] |
We map noncommutative (NC) U(1) gauge theory on R^d_C X R^{2n}_{NC} to U(N -> \infty) Yang-Mills theory on R^d_C, where R^d_C is a d-dimensional commutative spacetime while R^{2n}_{NC} is a 2n-dimensional NC space. The resulting U(N) Yang-Mills theory on R^d_C is equivalent to that obtained by the dimensional reduction of (d+2n)-dimensional U(N) Yang-Mills theory onto R^d_C. We show that the gauge-Higgs system (A_\mu,\Phi^a) in the U(N -> \infty) Yang-Mills theory on R^d_C leads to an emergent geometry in the (d+2n)-dimensional spacetime whose metric was determined by Ward a long time ago. In particular, the 10-dimensional gravity for d=4 and n=3 corresponds to the emergent geometry arising from the 4-dimensional N=4 vector multiplet in the AdS/CFT duality. We further elucidate the emergent gravity by showing that the gauge-Higgs system (A_\mu,\Phi^a) in half-BPS configurations describes self-dual Einstein gravity.
|
hep-th/9505073
|
Chris Hull
|
C.M. Hull and P. K. Townsend
|
Enhanced Gauge Symmetries in Superstring Theories
|
35 pages, phyzzx macro. Version published; contains some
modifications and extra material
|
Nucl.Phys. B451 (1995) 525-546
|
10.1016/0550-3213(95)00364-X
|
QMW-95-10, R/95/11
|
hep-th
| null |
Certain four-dimensional $N=4$ supersymmetric theories have special vacua in
which massive charged vector supermultiplets become massless, resulting in an
enhanced non-abelian gauge symmetry. We show here that any two $N=4$ theories
having the same Bogomolnyi spectrum at corresponding points of their moduli
spaces have the same enhanced symmetry groups. In particular, the $K_3\times
T^2$ compactified type II string is argued to have the same enhanced symmetry
groups as the $T^6$-compactified heterotic string, giving further evidence for
our conjecture that these two string theories are equivalent. A feature of the
enhanced symmetry phase is that for every electrically charged state whose mass
tends to zero as an enhanced symmetry point is approached, there are
magnetically charged and dyonic states whose masses also tend to zero, a result
that applies equally to N=4 super Yang-Mills theory. These extra
non-perturbative massless states in the $K_3$ compactification result from
$p$-branes wrapping around collapsed homology two-cycles of $K_3$. Finally, we
show how membrane `wrapping modes' lead to symmetry enhancement in D=11
supergravity, providing further evidence that the $K_3$-compactified D=11
supergravity is the effective field theory of the strong coupling limit of the
$T^3$-compactified heterotic string.
|
[
{
"created": "Fri, 12 May 1995 17:39:04 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jun 1995 11:32:23 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Mar 1996 17:24:30 GMT",
"version": "v3"
}
] |
2009-10-28
|
[
[
"Hull",
"C. M.",
""
],
[
"Townsend",
"P. K.",
""
]
] |
Certain four-dimensional $N=4$ supersymmetric theories have special vacua in which massive charged vector supermultiplets become massless, resulting in an enhanced non-abelian gauge symmetry. We show here that any two $N=4$ theories having the same Bogomolnyi spectrum at corresponding points of their moduli spaces have the same enhanced symmetry groups. In particular, the $K_3\times T^2$ compactified type II string is argued to have the same enhanced symmetry groups as the $T^6$-compactified heterotic string, giving further evidence for our conjecture that these two string theories are equivalent. A feature of the enhanced symmetry phase is that for every electrically charged state whose mass tends to zero as an enhanced symmetry point is approached, there are magnetically charged and dyonic states whose masses also tend to zero, a result that applies equally to N=4 super Yang-Mills theory. These extra non-perturbative massless states in the $K_3$ compactification result from $p$-branes wrapping around collapsed homology two-cycles of $K_3$. Finally, we show how membrane `wrapping modes' lead to symmetry enhancement in D=11 supergravity, providing further evidence that the $K_3$-compactified D=11 supergravity is the effective field theory of the strong coupling limit of the $T^3$-compactified heterotic string.
|
1407.7486
|
Jeremy S. Heyl
|
Dan Mazur, Jeremy S. Heyl
|
Parallel Worldline Numerics: Implementation and Error Analysis
|
17 pages, 12 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We give an overview of the worldline numerics technique, and discuss the
parallel CUDA implementation of a worldline numerics algorithm. In the
worldline numerics technique, we wish to generate an ensemble of representative
closed-loop particle trajectories, and use these to compute an approximate
average value for Wilson loops. We show how this can be done with a specific
emphasis on cylindrically symmetric magnetic fields. The fine-grained, massive
parallelism provided by the GPU architecture results in considerable speedup in
computing Wilson loop averages. Furthermore, we give a brief overview of
uncertainty analysis in the worldline numerics method. There are uncertainties
from discretizing each loop, and from using a statistical ensemble of
representative loops. The former can be minimized so that the latter dominates.
However, determining the statistical uncertainties is complicated by two
subtleties. Firstly, the distributions generated by the worldline ensembles are
highly non-Gaussian, and so the standard error in the mean is not a good
measure of the statistical uncertainty. Secondly, because the same ensemble of
worldlines is used to compute the Wilson loops at different values of $T$ and
$x_\mathrm{ cm}$, the uncertainties associated with each computed value of the
integrand are strongly correlated. We recommend a form of jackknife analysis
which deals with both of these problems.
|
[
{
"created": "Mon, 28 Jul 2014 18:12:01 GMT",
"version": "v1"
}
] |
2014-07-29
|
[
[
"Mazur",
"Dan",
""
],
[
"Heyl",
"Jeremy S.",
""
]
] |
We give an overview of the worldline numerics technique, and discuss the parallel CUDA implementation of a worldline numerics algorithm. In the worldline numerics technique, we wish to generate an ensemble of representative closed-loop particle trajectories, and use these to compute an approximate average value for Wilson loops. We show how this can be done with a specific emphasis on cylindrically symmetric magnetic fields. The fine-grained, massive parallelism provided by the GPU architecture results in considerable speedup in computing Wilson loop averages. Furthermore, we give a brief overview of uncertainty analysis in the worldline numerics method. There are uncertainties from discretizing each loop, and from using a statistical ensemble of representative loops. The former can be minimized so that the latter dominates. However, determining the statistical uncertainties is complicated by two subtleties. Firstly, the distributions generated by the worldline ensembles are highly non-Gaussian, and so the standard error in the mean is not a good measure of the statistical uncertainty. Secondly, because the same ensemble of worldlines is used to compute the Wilson loops at different values of $T$ and $x_\mathrm{ cm}$, the uncertainties associated with each computed value of the integrand are strongly correlated. We recommend a form of jackknife analysis which deals with both of these problems.
|
hep-th/0602142
|
Jonathan Hsu
|
Jonathan P. Hsu, Alexander Maloney and Alessandro Tomasiello
|
Black Hole Attractors and Pure Spinors
|
26 pages
|
JHEP0609:048,2006
|
10.1088/1126-6708/2006/09/048
| null |
hep-th
| null |
We construct black hole attractor solutions for a wide class of N=2
compactifications. The analysis is carried out in ten dimensions and makes
crucial use of pure spinor techniques. This formalism can accommodate
non-Kaehler manifolds as well as compactifications with flux, in addition to
the usual Calabi-Yau case. At the attractor point, the charges fix the moduli
according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even)
chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation
reduces to the usual one. Methods in generalized complex geometry can be used
to study solutions to the attractor equation.
|
[
{
"created": "Wed, 15 Feb 2006 16:46:00 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Hsu",
"Jonathan P.",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Tomasiello",
"Alessandro",
""
]
] |
We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. Methods in generalized complex geometry can be used to study solutions to the attractor equation.
|
hep-th/9207004
| null |
B. Gato-Rivera and A.M.Semikhatov
|
d\leq1\bigcup d\geq25$ and Constrained KP Hierarchy from BRST Invariance
in the $c\neq3$ Topological Algebra
|
12 pages, revised version
|
Phys.Lett.B293:72-80,1992; Theor.Math.Phys.95:536-545,1993
|
10.1016/0370-2693(92)91482-O
|
CERN-TH.6527/92
|
hep-th
| null |
The BRST invariance condition in a highest-weight representation of the
topological ($\equiv$ twisted $N=2$) algebra captures the `invariant' content
of two-dimensional gravity coupled to matter. The standard DDK formulation is
recovered by splitting the topological generators into $c=-26$
reparametrization ghosts+matter +`Liouville', while a similar splitting
involving $c=-2$ ghosts gives rise to the matter dressed in exactly the way
required in order that the theory be equivalent to Virasoro constraints on the
KP hierarchy. The two dressings of matter with the `Liouville' differ also by
their `ghost numbers', which is similar to the existence of representatives of
BRST cohomologies with different ghost numbers. The topological central charge
$\ctop\neq3$ provides a two-fold covering of the allowed region $d\leq1\cup
d\geq25$ of the matter central charge $d$ via $d=(\ctop+1)(\ctop+6)/(\ctop-3)$.
The `Liouville' field is identified as the ghost-free part of the topological
$U(1)$ current. The construction thus allows one to establish a direct relation
(presumably an equivalence) between the Virasoro-constrained KP hierarchies,
minimal models, and the BRST invariance condition for highest-weight states of
the topological algebra.
|
[
{
"created": "Thu, 2 Jul 1992 03:38:41 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jul 1992 22:24:12 GMT",
"version": "v2"
},
{
"created": "Fri, 25 Sep 1992 12:51:01 GMT",
"version": "v3"
}
] |
2011-04-20
|
[
[
"Gato-Rivera",
"B.",
""
],
[
"Semikhatov",
"A. M.",
""
]
] |
The BRST invariance condition in a highest-weight representation of the topological ($\equiv$ twisted $N=2$) algebra captures the `invariant' content of two-dimensional gravity coupled to matter. The standard DDK formulation is recovered by splitting the topological generators into $c=-26$ reparametrization ghosts+matter +`Liouville', while a similar splitting involving $c=-2$ ghosts gives rise to the matter dressed in exactly the way required in order that the theory be equivalent to Virasoro constraints on the KP hierarchy. The two dressings of matter with the `Liouville' differ also by their `ghost numbers', which is similar to the existence of representatives of BRST cohomologies with different ghost numbers. The topological central charge $\ctop\neq3$ provides a two-fold covering of the allowed region $d\leq1\cup d\geq25$ of the matter central charge $d$ via $d=(\ctop+1)(\ctop+6)/(\ctop-3)$. The `Liouville' field is identified as the ghost-free part of the topological $U(1)$ current. The construction thus allows one to establish a direct relation (presumably an equivalence) between the Virasoro-constrained KP hierarchies, minimal models, and the BRST invariance condition for highest-weight states of the topological algebra.
|
hep-th/0107247
|
Ivan K. Kostov
|
Ivan K. Kostov
|
String Equation for String Theory on a Circle
|
20 pages, 1 figure, slight changes in the text and many typos
corrected
|
Nucl.Phys. B624 (2002) 146-162
|
10.1016/S0550-3213(01)00650-2
|
SPhT-t01/075
|
hep-th
| null |
We derive a constraint (string equation) which together with the Toda Lattice
hierarchy determines completely the integrable structure of the compactified 2D
string theory. The form of the constraint depends on a continuous parameter,
the compactification radius R. We show how to use the string equation to
calculate the free energy and the correlation functions in the dispersionless
limit. We sketch the phase diagram and the flow structure and point out that
there are two UV critical points, one of which (the sine-Liouville string
theory) describes infinitely strong vortex or tachyon perturbation.
|
[
{
"created": "Sat, 28 Jul 2001 14:57:20 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Aug 2001 12:29:51 GMT",
"version": "v2"
},
{
"created": "Fri, 14 Sep 2001 15:39:01 GMT",
"version": "v3"
},
{
"created": "Sat, 15 Sep 2001 15:13:32 GMT",
"version": "v4"
}
] |
2009-11-07
|
[
[
"Kostov",
"Ivan K.",
""
]
] |
We derive a constraint (string equation) which together with the Toda Lattice hierarchy determines completely the integrable structure of the compactified 2D string theory. The form of the constraint depends on a continuous parameter, the compactification radius R. We show how to use the string equation to calculate the free energy and the correlation functions in the dispersionless limit. We sketch the phase diagram and the flow structure and point out that there are two UV critical points, one of which (the sine-Liouville string theory) describes infinitely strong vortex or tachyon perturbation.
|
2206.14860
|
Fernando Tadeu Caldeira Brandt
|
F. T. Brandt, J. Frenkel, D. G. C. McKeon
|
Feynman diagrams in terms of on-shell propagators
|
13 pages, 11 figures, accepted for publication in the Physical Review
D
| null |
10.1103/PhysRevD.106.025007
| null |
hep-th hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
It is shown that the usual expression for a Feynman diagram in terms of the
Feynman propagator $\Delta_F(x-y)$ can be replaced by an equivalent expression
involving the positive-energy on-shell propagator $\Delta^+(x-y)$, supplemented
by appropriate functions associated with time-ordering. When this alternate way
of expressing a Feynman diagram is Fourier transformed into momentum space, the
momentum associated with each function $\Delta^+(x-y)$ is on-shell, and is only
conserved at each vertex if an energy is attributed to the contributions of the
time-ordering functions. The resulting expression is analogous to what
Kadyshevsky had obtained by deriving an alternate expansion for the
$S$--matrix. A detailed explanation of how this alternate expansion is derived
is given, and it is shown how it provides a straightforward way of determining
the imaginary part of a Feynman diagram, which makes it useful when using
unitarity methods for computing a Feynman diagram. By considering a number of
specific Feynman diagrams in self-interacting scalar models and in QED, we show
how this alternate approach can be related to the old perturbation theory and
can simplify direct calculations of Feynman diagrams.
|
[
{
"created": "Wed, 29 Jun 2022 19:00:36 GMT",
"version": "v1"
}
] |
2022-07-27
|
[
[
"Brandt",
"F. T.",
""
],
[
"Frenkel",
"J.",
""
],
[
"McKeon",
"D. G. C.",
""
]
] |
It is shown that the usual expression for a Feynman diagram in terms of the Feynman propagator $\Delta_F(x-y)$ can be replaced by an equivalent expression involving the positive-energy on-shell propagator $\Delta^+(x-y)$, supplemented by appropriate functions associated with time-ordering. When this alternate way of expressing a Feynman diagram is Fourier transformed into momentum space, the momentum associated with each function $\Delta^+(x-y)$ is on-shell, and is only conserved at each vertex if an energy is attributed to the contributions of the time-ordering functions. The resulting expression is analogous to what Kadyshevsky had obtained by deriving an alternate expansion for the $S$--matrix. A detailed explanation of how this alternate expansion is derived is given, and it is shown how it provides a straightforward way of determining the imaginary part of a Feynman diagram, which makes it useful when using unitarity methods for computing a Feynman diagram. By considering a number of specific Feynman diagrams in self-interacting scalar models and in QED, we show how this alternate approach can be related to the old perturbation theory and can simplify direct calculations of Feynman diagrams.
|
hep-th/0502147
|
Massimo Bianchi
|
Massimo Bianchi and Elisa Trevigne (Dipartimento di Fisica and Sezione
INFN, Universita` di Roma ``Tor Vergata'')
|
The open story of the magnetic fluxes
|
36 pages, LaTeX, References added
|
JHEP 0508 (2005) 034
|
10.1088/1126-6708/2005/08/034
|
ROM2F/2005/02
|
hep-th
| null |
We discuss the effects of oblique internal magnetic fields on the spectrum of
type I superstrings compactified on tori. In particular we derive general
formulae for the magnetic shifts and multiplicities of open strings connecting
D9-branes with arbitrary magnetic fluxes. We discuss the flux induced potential
and offer an interpretation of the stabilization of R-R moduli associated to
deformations of the complex structure of T^6 in terms of non-derivative mixing
with NS-NS moduli. Finally we briefly comment on how to extract other low
energy couplings and generalize our results to toroidal orbifolds and other
configurations governed by rational conformal field theories on the worldsheet.
|
[
{
"created": "Wed, 16 Feb 2005 20:54:55 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Feb 2005 18:52:36 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Bianchi",
"Massimo",
"",
"Dipartimento di Fisica and Sezione\n INFN, Universita` di Roma ``Tor Vergata''"
],
[
"Trevigne",
"Elisa",
"",
"Dipartimento di Fisica and Sezione\n INFN, Universita` di Roma ``Tor Vergata''"
]
] |
We discuss the effects of oblique internal magnetic fields on the spectrum of type I superstrings compactified on tori. In particular we derive general formulae for the magnetic shifts and multiplicities of open strings connecting D9-branes with arbitrary magnetic fluxes. We discuss the flux induced potential and offer an interpretation of the stabilization of R-R moduli associated to deformations of the complex structure of T^6 in terms of non-derivative mixing with NS-NS moduli. Finally we briefly comment on how to extract other low energy couplings and generalize our results to toroidal orbifolds and other configurations governed by rational conformal field theories on the worldsheet.
|
2106.12397
|
Qiang Wen
|
Muxin Han and Qiang Wen
|
First Law and Quantum Correction for Holographic Entanglement Contour
|
v1: 23 pages, 7 figs, comments welcome; v2 22 pages, 7 figs, accepted
version by Scipost Physics
|
SciPost Phys. 11 (2021) 3, 058
|
10.21468/SciPostPhys.11.3.058
| null |
hep-th gr-qc quant-ph
|
http://creativecommons.org/licenses/by/4.0/
|
Entanglement entropy satisfies a first law-like relation, which equates the
first order perturbation of the entanglement entropy for the region $A$ to the
first order perturbation of the expectation value of the modular Hamiltonian,
$\delta S_{A}=\delta \langle K_A \rangle$. We propose that this relation has a
finer version which states that, the first order perturbation of the
entanglement contour equals to the first order perturbation of the contour of
the modular Hamiltonian, i.e. $\delta s_{A}(\textbf{x})=\delta \langle
k_{A}(\textbf{x})\rangle$. Here the contour functions $s_{A}(\textbf{x})$ and
$k_{A}(\textbf{x})$ capture the contribution from the degrees of freedom at
$\textbf{x}$ to $S_{A}$ and $K_A$ respectively. In some simple cases
$k_{A}(\textbf{x})$ is determined by the stress tensor. We also evaluate the
quantum correction to the entanglement contour using the fine structure of the
entanglement wedge and the additive linear combination (ALC) proposal for
partial entanglement entropy (PEE) respectively. The fine structure picture
shows that, the quantum correction to the boundary PEE can be identified as a
bulk PEE of certain bulk region. While the \textit{ALC proposal} shows that the
quantum correction to the boundary PEE comes from the linear combination of
bulk entanglement entropy. We focus on holographic theories with local modular
Hamiltonian and configurations of quantum field theories where the \textit{ALC
proposal} applies.
|
[
{
"created": "Wed, 23 Jun 2021 13:39:40 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Sep 2021 13:00:37 GMT",
"version": "v2"
}
] |
2021-10-25
|
[
[
"Han",
"Muxin",
""
],
[
"Wen",
"Qiang",
""
]
] |
Entanglement entropy satisfies a first law-like relation, which equates the first order perturbation of the entanglement entropy for the region $A$ to the first order perturbation of the expectation value of the modular Hamiltonian, $\delta S_{A}=\delta \langle K_A \rangle$. We propose that this relation has a finer version which states that, the first order perturbation of the entanglement contour equals to the first order perturbation of the contour of the modular Hamiltonian, i.e. $\delta s_{A}(\textbf{x})=\delta \langle k_{A}(\textbf{x})\rangle$. Here the contour functions $s_{A}(\textbf{x})$ and $k_{A}(\textbf{x})$ capture the contribution from the degrees of freedom at $\textbf{x}$ to $S_{A}$ and $K_A$ respectively. In some simple cases $k_{A}(\textbf{x})$ is determined by the stress tensor. We also evaluate the quantum correction to the entanglement contour using the fine structure of the entanglement wedge and the additive linear combination (ALC) proposal for partial entanglement entropy (PEE) respectively. The fine structure picture shows that, the quantum correction to the boundary PEE can be identified as a bulk PEE of certain bulk region. While the \textit{ALC proposal} shows that the quantum correction to the boundary PEE comes from the linear combination of bulk entanglement entropy. We focus on holographic theories with local modular Hamiltonian and configurations of quantum field theories where the \textit{ALC proposal} applies.
|
0711.1364
|
Sergey Yu. Vernov
|
I.Ya. Aref'eva, L.V. Joukovskaya, S.Yu. Vernov
|
Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker
metric
|
18 pages, 3 figures, a few misprints in Section 5 have been corrected
|
J.Phys.A41:304003,2008
|
10.1088/1751-8113/41/30/304003
|
DAMTP-2007-108
|
hep-th astro-ph gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general class of cosmological models driven by a nonlocal scalar field
inspired by the string field theory is studied. Using the fact that the
considering linear nonlocal model is equivalent to an infinite number of local
models we have found an exact special solution of the nonlocal Friedmann
equations. This solution describes a monotonically increasing Universe with the
phantom dark energy.
|
[
{
"created": "Thu, 8 Nov 2007 21:26:18 GMT",
"version": "v1"
},
{
"created": "Sat, 23 Feb 2008 20:30:16 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Oct 2008 14:09:34 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Joukovskaya",
"L. V.",
""
],
[
"Vernov",
"S. Yu.",
""
]
] |
A general class of cosmological models driven by a nonlocal scalar field inspired by the string field theory is studied. Using the fact that the considering linear nonlocal model is equivalent to an infinite number of local models we have found an exact special solution of the nonlocal Friedmann equations. This solution describes a monotonically increasing Universe with the phantom dark energy.
|
hep-th/9901135
|
Emil J. Martinec
|
E. Martinec and V. Sahakian
|
Black Holes and Five-brane Thermodynamics
|
57 pages, 6 eps figures, latex. v2: DLCQ limit of 5-brane corrected;
typos corrected, references added. v3: reference added, typos corrected v4:
comments on DLCQ limit of 5-brane corrected one last time. Final version, to
appear in Phys. Rev. D
|
Phys. Rev. D 60, 064002 (1999)
|
10.1103/PhysRevD.60.064002
|
EFI-99-2
|
hep-th
| null |
The phase diagram for Dp-branes in M-theory compactified on $T^4$, $T^4/Z_2$,
$T^5$, and $T^6$ is constructed. As for the lower-dimensional tori considered
in our previous work (hep-th/9810224), the black brane phase at high entropy
connects onto matrix theory at low entropy; we thus recover all known instances
of matrix theory as consequences of the Maldacena conjecture. The difficulties
that arise for $T^6$ are reviewed. We also analyze the D1-D5 system on $T^5$;
we exhibit its relation to matrix models of M5-branes, and use spectral flow as
a tool to investigate the dependence of the phase structure on angular
momentum.
|
[
{
"created": "Tue, 26 Jan 1999 16:03:56 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jan 1999 17:14:54 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Feb 1999 20:33:58 GMT",
"version": "v3"
},
{
"created": "Fri, 18 Jun 1999 19:53:01 GMT",
"version": "v4"
}
] |
2016-08-25
|
[
[
"Martinec",
"E.",
""
],
[
"Sahakian",
"V.",
""
]
] |
The phase diagram for Dp-branes in M-theory compactified on $T^4$, $T^4/Z_2$, $T^5$, and $T^6$ is constructed. As for the lower-dimensional tori considered in our previous work (hep-th/9810224), the black brane phase at high entropy connects onto matrix theory at low entropy; we thus recover all known instances of matrix theory as consequences of the Maldacena conjecture. The difficulties that arise for $T^6$ are reviewed. We also analyze the D1-D5 system on $T^5$; we exhibit its relation to matrix models of M5-branes, and use spectral flow as a tool to investigate the dependence of the phase structure on angular momentum.
|
1105.6337
|
Tomas Andrade
|
Tomas Andrade, Donald Marolf
|
AdS/CFT beyond the unitarity bound
|
24 pages
| null |
10.1007/JHEP01(2012)049
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Scalars in AdS${}_{d+1}$ with squared masses in the Breitenlohner-Freedman
window $-d^2/4 \le m^2 < -d^2/4 +1$ (in units with the AdS scale $\ell$ set to
1) are known to enjoy a variety of boundary conditions. For larger masses $m^2
> -d^2/4 +1$, unitarity bounds in possible dual CFTs suggest that such general
boundary conditions should lead to ghosts. We show that this is not always the
case as, for conformally-invariant boundary conditions in Poincar\'e AdS that
would naively violate unitarity bounds, the system is generically ghost-free.
Conflicts with unitarity bounds are avoided due to the presence of unexpected
pure gauge modes and an associated infrared divergence. The expected ghosts
appear when the IR divergence is removed either by deforming these boundary
conditions or considering global AdS.
|
[
{
"created": "Tue, 31 May 2011 16:38:30 GMT",
"version": "v1"
}
] |
2015-05-28
|
[
[
"Andrade",
"Tomas",
""
],
[
"Marolf",
"Donald",
""
]
] |
Scalars in AdS${}_{d+1}$ with squared masses in the Breitenlohner-Freedman window $-d^2/4 \le m^2 < -d^2/4 +1$ (in units with the AdS scale $\ell$ set to 1) are known to enjoy a variety of boundary conditions. For larger masses $m^2 > -d^2/4 +1$, unitarity bounds in possible dual CFTs suggest that such general boundary conditions should lead to ghosts. We show that this is not always the case as, for conformally-invariant boundary conditions in Poincar\'e AdS that would naively violate unitarity bounds, the system is generically ghost-free. Conflicts with unitarity bounds are avoided due to the presence of unexpected pure gauge modes and an associated infrared divergence. The expected ghosts appear when the IR divergence is removed either by deforming these boundary conditions or considering global AdS.
|
1803.07323
|
Marcus Sperling
|
Marcus Sperling, Harold C. Steinacker
|
Intersecting branes, Higgs sector, and chirality from $\mathcal{N}=4$
SYM with soft SUSY breaking
|
v2: 56 pages,2 appendices, 34 figures, typos corrected, matches JHEP
version
| null |
10.1007/JHEP04(2018)116
|
UWThPh-2018-13
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $SU(N)$ $\mathcal{N}=4$ super Yang-Mills with cubic and quadratic
soft SUSY breaking potential, such that the global $SU(4)_R$ is broken to
$SU(3)$ or further. As shown recently, this set-up supports a rich set of
non-trivial vacua with the geometry of self-intersecting $SU(3)$ branes in 6
extra dimensions. The zero modes on these branes can be interpreted as 3
generations of bosonic and chiral fermionic strings connecting the branes at
their intersections. Here, we uncover a large class of exact solutions
consisting of branes connected by Higgs condensates, leading to Yukawa
couplings between the chiral fermionic zero modes. Under certain decoupling
conditions, the backreaction of the Higgs on the branes vanishes exactly. The
resulting physics is that of a spontaneously broken chiral gauge theory on
branes with fluxes. In particular, we identify combined brane plus Higgs
configurations which lead to gauge fields that couple to chiral fermions at low
energy. This turns out to be quite close to the Standard Model and its
constructions via branes in string theory. As a by-product, we construct a
$G_2$-brane solution corresponding to a squashed fuzzy coadjoint orbit of
$G_2$.
|
[
{
"created": "Tue, 20 Mar 2018 09:31:20 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Apr 2018 09:38:50 GMT",
"version": "v2"
}
] |
2018-04-24
|
[
[
"Sperling",
"Marcus",
""
],
[
"Steinacker",
"Harold C.",
""
]
] |
We consider $SU(N)$ $\mathcal{N}=4$ super Yang-Mills with cubic and quadratic soft SUSY breaking potential, such that the global $SU(4)_R$ is broken to $SU(3)$ or further. As shown recently, this set-up supports a rich set of non-trivial vacua with the geometry of self-intersecting $SU(3)$ branes in 6 extra dimensions. The zero modes on these branes can be interpreted as 3 generations of bosonic and chiral fermionic strings connecting the branes at their intersections. Here, we uncover a large class of exact solutions consisting of branes connected by Higgs condensates, leading to Yukawa couplings between the chiral fermionic zero modes. Under certain decoupling conditions, the backreaction of the Higgs on the branes vanishes exactly. The resulting physics is that of a spontaneously broken chiral gauge theory on branes with fluxes. In particular, we identify combined brane plus Higgs configurations which lead to gauge fields that couple to chiral fermions at low energy. This turns out to be quite close to the Standard Model and its constructions via branes in string theory. As a by-product, we construct a $G_2$-brane solution corresponding to a squashed fuzzy coadjoint orbit of $G_2$.
|
1701.05026
|
Eugenio R. Bezerra de Mello
|
E.R. Bezerra de Mello, A.A. Saharian and M.R. Setare
|
The Casimir effect for parallel plates in Friedmann-Robertson-Walker
universe
|
20 pages, no figure. Version accepted for publication in PRD
|
Phys. Rev. D 95, 065024 (2017)
|
10.1103/PhysRevD.95.065024
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the Hadamard function, the vacuum expectation values (VEVs) of
the field squared and the energy-momentum tensor for a massive scalar field
with general curvature coupling parameter in the geometry of two parallel
plates on a spatially flat Friedmann-Robertson-Walker background with a general
scale factor. On the plates, the field operator obeys the Robin boundary
conditions with the coefficients depending on the scale factor. In all the
spatial regions, the VEVs are decomposed into the boundary-free and
boundary-induced contributions. Unlike to the problem with the Minkowski bulk,
in the region between the plates the normal stress is not homogeneous and does
not vanish in the geometry of a single plate. Near the plates, it has different
signs for accelerated and deccelerated expansions of the universe. The VEV of
the energy-momentum tensor, in addition to the diagonal components, has a
nonzero off-diagonal component describing an energy flux along the direction
normal to the boundaries. Expressions are derived for the Casimir forces acting
on the plates. Depending on the Robin coefficients and on the vacuum state,
these forces can be either attractive or repulsive. An important difference
from the corresponding result in the Minkowski bulk is that the forces on the
separate plates, in general, are different if the corresponding Robin
coefficients differ. We give the applications of general results for the class
of $\alpha $-vacua in the de Sitter bulk. It is shown that, compared with the
Bunch-Davies vacuum state, the Casimir forces for a given $\alpha $-vacuum may
change the sign.
|
[
{
"created": "Wed, 18 Jan 2017 12:07:37 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Mar 2017 16:43:48 GMT",
"version": "v2"
}
] |
2017-04-05
|
[
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Setare",
"M. R.",
""
]
] |
We evaluate the Hadamard function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling parameter in the geometry of two parallel plates on a spatially flat Friedmann-Robertson-Walker background with a general scale factor. On the plates, the field operator obeys the Robin boundary conditions with the coefficients depending on the scale factor. In all the spatial regions, the VEVs are decomposed into the boundary-free and boundary-induced contributions. Unlike to the problem with the Minkowski bulk, in the region between the plates the normal stress is not homogeneous and does not vanish in the geometry of a single plate. Near the plates, it has different signs for accelerated and deccelerated expansions of the universe. The VEV of the energy-momentum tensor, in addition to the diagonal components, has a nonzero off-diagonal component describing an energy flux along the direction normal to the boundaries. Expressions are derived for the Casimir forces acting on the plates. Depending on the Robin coefficients and on the vacuum state, these forces can be either attractive or repulsive. An important difference from the corresponding result in the Minkowski bulk is that the forces on the separate plates, in general, are different if the corresponding Robin coefficients differ. We give the applications of general results for the class of $\alpha $-vacua in the de Sitter bulk. It is shown that, compared with the Bunch-Davies vacuum state, the Casimir forces for a given $\alpha $-vacuum may change the sign.
|
hep-th/0502094
|
Vladimir Sauli
|
V. Sauli
|
Natural Breaking of Supersymmetry
|
17pages, 3 figures
| null | null | null |
hep-th
| null |
The loop structure of two point Green's functions is investigated in the
Wess-Zumino model in the formalism where the auxiliary fields are integrated
out. In the usual frame of perturbation theory the deviation from the
non-renormalization theorem is explicitly shown. It is shown that Ward identity
are not satisfied in this approach. Further we go beyond perturbation theory by
solving a system of regularized Schwinger-Dyson equations (SDEs). The mass
splitting between fermions and bosons, which was already observed in
perturbation theory level, is further enhanced.
|
[
{
"created": "Wed, 9 Feb 2005 17:40:02 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sauli",
"V.",
""
]
] |
The loop structure of two point Green's functions is investigated in the Wess-Zumino model in the formalism where the auxiliary fields are integrated out. In the usual frame of perturbation theory the deviation from the non-renormalization theorem is explicitly shown. It is shown that Ward identity are not satisfied in this approach. Further we go beyond perturbation theory by solving a system of regularized Schwinger-Dyson equations (SDEs). The mass splitting between fermions and bosons, which was already observed in perturbation theory level, is further enhanced.
|
1410.0593
|
W. N. Polyzou
|
W. N. Polyzou, W. Gl\"ockle, H. Wita{\l}a
|
Spin and dynamics in relativistic quantum theories
|
7 pages, proceedings for Light Cone 2014, Raleigh, NC
| null |
10.1007/s00601-014-0920-5
| null |
hep-th nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The role of relativity and dynamics in defining the spin and orbital angular
momentum content of hadronic systems is discussed.
|
[
{
"created": "Thu, 2 Oct 2014 15:59:11 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Polyzou",
"W. N.",
""
],
[
"Glöckle",
"W.",
""
],
[
"Witała",
"H.",
""
]
] |
The role of relativity and dynamics in defining the spin and orbital angular momentum content of hadronic systems is discussed.
|
hep-th/9504160
|
Ian McArthur
|
I.N. McArthur
|
Gauging of Nonlinearly Realized Symmetries
|
14 pages, LATEX document
|
Nucl.Phys. B452 (1995) 456-468
|
10.1016/0550-3213(95)00288-4
| null |
hep-th
| null |
A representation of a subgroup H of a finite-dimensional group G can be used
to induce a nonlinear realization of G. If the nonlinearly realized symmetry is
gauged, then the BRST charge can be related by a similarity transformation to
the BRST charge for the gauged linear realization of H (plus a cohomologically
trivial piece). It is shown that the relation between the two BRST charges is a
reflection of the fact that they can be interpreted geometrically as
expressions for the exterior derivative on G relative to two different bases,
and an explicit expression for the generator of the similarity transformation
is obtained. This result is applied in an infinite-dimensional setting, where
it yields the similarity transformation used by Ishikawa and Kato to prove the
equivalence of the Berkovits-Vafa superstring with the underlying bosonic
string theory.
|
[
{
"created": "Sat, 29 Apr 1995 04:19:04 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"McArthur",
"I. N.",
""
]
] |
A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of G. If the nonlinearly realized symmetry is gauged, then the BRST charge can be related by a similarity transformation to the BRST charge for the gauged linear realization of H (plus a cohomologically trivial piece). It is shown that the relation between the two BRST charges is a reflection of the fact that they can be interpreted geometrically as expressions for the exterior derivative on G relative to two different bases, and an explicit expression for the generator of the similarity transformation is obtained. This result is applied in an infinite-dimensional setting, where it yields the similarity transformation used by Ishikawa and Kato to prove the equivalence of the Berkovits-Vafa superstring with the underlying bosonic string theory.
|
hep-th/0112136
|
Klaus Behrndt
|
Klaus Behrndt, Gianguido Dall'Agata
|
Vacua of N=2 gauged supergravity derived from non-homogeneous
quaternionic spaces
|
27 pages, 2 figures, minor corrections, version to appear in NPB
|
Nucl.Phys. B627 (2002) 357-380
|
10.1016/S0550-3213(02)00053-6
| null |
hep-th
| null |
We discuss a class of 4-dimensional non-homogeneous quaternionic spaces,
which become the two known homogeneous spaces (EAdS_4$ and SU(2,1)/U(2)) in
certain limits. These moduli spaces have two regions where the metric is
positive definite, separated by a non-physical region where the metric has
timelike directions and which contains a curvature singularity. They admit four
isometries and we consider their general Abelian gauging. The critical points
of the resulting superpotential and hence the possible domain wall solutions
differ significantly in the two regions. On one side one can construct only
singular walls, whereas in the other we found a smooth domain wall
interpolating between two infra-red critical points located exactly on the
boundary of the physical allowed parameter region.
|
[
{
"created": "Sat, 15 Dec 2001 13:36:36 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Mar 2002 10:19:35 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Behrndt",
"Klaus",
""
],
[
"Dall'Agata",
"Gianguido",
""
]
] |
We discuss a class of 4-dimensional non-homogeneous quaternionic spaces, which become the two known homogeneous spaces (EAdS_4$ and SU(2,1)/U(2)) in certain limits. These moduli spaces have two regions where the metric is positive definite, separated by a non-physical region where the metric has timelike directions and which contains a curvature singularity. They admit four isometries and we consider their general Abelian gauging. The critical points of the resulting superpotential and hence the possible domain wall solutions differ significantly in the two regions. On one side one can construct only singular walls, whereas in the other we found a smooth domain wall interpolating between two infra-red critical points located exactly on the boundary of the physical allowed parameter region.
|
hep-th/9311070
| null |
L.Bonora and C.S.Xiong
|
The (N,M)-th KdV hierarchy and the associated W algebra
|
40 pages, LaTeX, SISSA-171/93/EP, BONN-HE-46/93, AS-IPT-49/93
|
J.Math.Phys. 35 (1994) 5781-5819
|
10.1063/1.530710
| null |
hep-th
| null |
We discuss a differential integrable hierarchy, which we call the (N, M)$--th
KdV hierarchy, whose Lax operator is obtained by properly adding $M$
pseudo--differential terms to the Lax operator of the N--th KdV hierarchy. This
new hierarchy contains both the higher KdV hierarchy and multi--field
representation of KP hierarchy as sub--systems and naturally appears in
multi--matrix models. The N+2M-1 coordinates or fields of this hierarchy
satisfy two algebras of compatible Poisson brackets which are {\it local} and
{\it polynomial}. Each Poisson structure generate an extended W_{1+\infty} and
W_\infty algebra, respectively. We call W(N, M) the generating algebra of the
extended W_\infty algebra. This algebra, which corresponds with the second
Poisson structure, shares many features of the usual $W_N$ algebra. We show
that there exist M distinct reductions of the (N, M)--th KdV hierarchy, which
are obtained by imposing suitable second class constraints. The most drastic
reduction corresponds to the (N+M)--th KdV hierarchy. Correspondingly the W(N,
M) algebra is reduced to the W_{N+M} algebra. We study in detail the
dispersionless limit of this hierarchy and the relevant reductions.
|
[
{
"created": "Thu, 11 Nov 1993 16:48:18 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Bonora",
"L.",
""
],
[
"Xiong",
"C. S.",
""
]
] |
We discuss a differential integrable hierarchy, which we call the (N, M)$--th KdV hierarchy, whose Lax operator is obtained by properly adding $M$ pseudo--differential terms to the Lax operator of the N--th KdV hierarchy. This new hierarchy contains both the higher KdV hierarchy and multi--field representation of KP hierarchy as sub--systems and naturally appears in multi--matrix models. The N+2M-1 coordinates or fields of this hierarchy satisfy two algebras of compatible Poisson brackets which are {\it local} and {\it polynomial}. Each Poisson structure generate an extended W_{1+\infty} and W_\infty algebra, respectively. We call W(N, M) the generating algebra of the extended W_\infty algebra. This algebra, which corresponds with the second Poisson structure, shares many features of the usual $W_N$ algebra. We show that there exist M distinct reductions of the (N, M)--th KdV hierarchy, which are obtained by imposing suitable second class constraints. The most drastic reduction corresponds to the (N+M)--th KdV hierarchy. Correspondingly the W(N, M) algebra is reduced to the W_{N+M} algebra. We study in detail the dispersionless limit of this hierarchy and the relevant reductions.
|
1503.05580
|
Branislav Sazdovic
|
Branislav Sazdovic
|
T-duality as coordinates permutation in double space for weakly curved
background
|
39 pages. Subsections 4.1-4.3 have been changed; Section 5. "Dilaton"
and Section 6. "Example: Three torus" have been added
|
JHEP 08 (2015) 055
|
10.1007/JHEP08(2015)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the paper [1] we showed that in double space, where all initial
coordinates $x^\mu$ are doubled $x^\mu \to y_\mu$, the T-duality
transformations can be performed by exchanging places of some coordinates $x^a$
and corresponding dual coordinates $y_a$. Here we generalize this result to the
case of weakly curved background where in addition to the extended coordinate
we will also transform extended argument of background fields with the same
operator $\hat {\cal T}^a$. So, in the weakly curved background T-duality leads
to the physically equivalent theory and complete set of T-duality
transformations form the same group as in the flat background. Therefore, the
double space represent all T-dual theories in unified manner.
|
[
{
"created": "Wed, 18 Mar 2015 20:47:43 GMT",
"version": "v1"
},
{
"created": "Sun, 12 Jul 2015 19:56:33 GMT",
"version": "v2"
}
] |
2015-08-27
|
[
[
"Sazdovic",
"Branislav",
""
]
] |
In the paper [1] we showed that in double space, where all initial coordinates $x^\mu$ are doubled $x^\mu \to y_\mu$, the T-duality transformations can be performed by exchanging places of some coordinates $x^a$ and corresponding dual coordinates $y_a$. Here we generalize this result to the case of weakly curved background where in addition to the extended coordinate we will also transform extended argument of background fields with the same operator $\hat {\cal T}^a$. So, in the weakly curved background T-duality leads to the physically equivalent theory and complete set of T-duality transformations form the same group as in the flat background. Therefore, the double space represent all T-dual theories in unified manner.
|
hep-th/0301005
|
Antoine Van Proeyen
|
Antoine Van Proeyen
|
Structure of supergravity theories
|
30 pages; contribution to the Proceedings of the XI Fall Workshop on
Geometry and Physics, Oviedo (Spain), September 23-25 (2002), to be published
in the series "Publications of the Royal Spanish Mathematical Society"; v.2:
typos corrected
| null | null |
KUL-TF-03/01
|
hep-th
| null |
We give an elementary introduction to the structure of supergravity theories.
This leads to a table with an overview of supergravity and supersymmetry
theories in dimensions 4 to 11. The basic steps in constructing supergravity
theories are considered: determination of the underlying algebra, the
multiplets, the actions, and solutions. Finally, an overview is given of the
geometries that result from the scalars of supergravity theories.
|
[
{
"created": "Thu, 2 Jan 2003 09:42:11 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2003 17:17:28 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Van Proeyen",
"Antoine",
""
]
] |
We give an elementary introduction to the structure of supergravity theories. This leads to a table with an overview of supergravity and supersymmetry theories in dimensions 4 to 11. The basic steps in constructing supergravity theories are considered: determination of the underlying algebra, the multiplets, the actions, and solutions. Finally, an overview is given of the geometries that result from the scalars of supergravity theories.
|
2106.13811
|
Georgios K. Karananas Dr.
|
Georgios K. Karananas, Mikhail Shaposhnikov, Andrey Shkerin, Sebastian
Zell
|
Matter matters in Einstein-Cartan gravity
|
Journal version---discussion extended, typos corrected, references
added
|
Phys. Rev. D 104, 064036 (2021)
|
10.1103/PhysRevD.104.064036
|
LMU-ASC 18/21, FTPI-MINN-21-10, UMN-TH-4017/21
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study scalar, fermionic and gauge fields coupled nonminimally to gravity
in the Einstein-Cartan formulation. We construct a wide class of models with
nondynamical torsion whose gravitational spectra comprise only the massless
graviton. Eliminating non-propagating degrees of freedom, we derive an
equivalent theory in the metric formulation of gravity. It features contact
interactions of a certain form between and among the matter and gauge currents.
We also discuss briefly the inclusion of curvature-squared terms.
|
[
{
"created": "Fri, 25 Jun 2021 18:00:01 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Sep 2021 16:21:04 GMT",
"version": "v2"
}
] |
2021-09-22
|
[
[
"Karananas",
"Georgios K.",
""
],
[
"Shaposhnikov",
"Mikhail",
""
],
[
"Shkerin",
"Andrey",
""
],
[
"Zell",
"Sebastian",
""
]
] |
We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton. Eliminating non-propagating degrees of freedom, we derive an equivalent theory in the metric formulation of gravity. It features contact interactions of a certain form between and among the matter and gauge currents. We also discuss briefly the inclusion of curvature-squared terms.
|
hep-th/9905129
|
M. M. Deminov
|
M. M. Deminov, A. A. Slavnov
|
Gluon - W-meson scattering via different renormalization schemes
|
Latex, 12 pages, uses linedraw, accepted for publication in
Mod.Phys.Lett. A
|
Mod.Phys.Lett. A14 (1999) 993-1006
|
10.1142/S021773239900105X
| null |
hep-th
| null |
The one loop gluon - W-meson amplitude is calculated by means of the
gauge-invariant generalized Pauli-Villars regularization and with the help of
dimensional regularization. It is shown that in the former case the amplitude
satisfies Generalized Ward Identities, whereas in the latter case the amplitude
differs from the first one by the constant.
|
[
{
"created": "Tue, 18 May 1999 14:42:04 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Deminov",
"M. M.",
""
],
[
"Slavnov",
"A. A.",
""
]
] |
The one loop gluon - W-meson amplitude is calculated by means of the gauge-invariant generalized Pauli-Villars regularization and with the help of dimensional regularization. It is shown that in the former case the amplitude satisfies Generalized Ward Identities, whereas in the latter case the amplitude differs from the first one by the constant.
|
1502.01726
|
Ali Kaya
|
Merve Tarman Algan, Ali Kaya, Emine Seyma Kutluk
|
On the breakdown of the curvature perturbation \zeta\ during reheating
|
23 pages, 1 figure, revtex4-1, v2: a reference added, minor changes
| null |
10.1088/1475-7516/2015/04/015
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is known that in single scalar field inflationary models the standard
curvature perturbation \zeta, which is supposedly conserved at superhorizon
scales, diverges during reheating at times d\Phi/dt=0, i.e. when the time
derivative of the background inflaton field vanishes. This happens because the
comoving gauge \phi=0, where \phi\ denotes the inflaton perturbation, breaks
down when d\Phi/dt=0. The issue is usually bypassed by averaging out the
inflaton oscillations but strictly speaking the evolution of \zeta\ is ill
posed mathematically. We solve this problem in the free theory by introducing a
family of smooth gauges that still eliminates the inflaton fluctuation \phi\ in
the Hamiltonian formalism and gives a well behaved curvature perturbation
\zeta, which is now rigorously conserved at superhorizon scales. At the
linearized level, this conserved variable can be used to unambiguously
propagate the inflationary perturbations from the end of inflation to
subsequent epochs. We discuss the implications of our results for the
inflationary predictions.
|
[
{
"created": "Thu, 5 Feb 2015 21:05:11 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Feb 2015 16:08:00 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Algan",
"Merve Tarman",
""
],
[
"Kaya",
"Ali",
""
],
[
"Kutluk",
"Emine Seyma",
""
]
] |
It is known that in single scalar field inflationary models the standard curvature perturbation \zeta, which is supposedly conserved at superhorizon scales, diverges during reheating at times d\Phi/dt=0, i.e. when the time derivative of the background inflaton field vanishes. This happens because the comoving gauge \phi=0, where \phi\ denotes the inflaton perturbation, breaks down when d\Phi/dt=0. The issue is usually bypassed by averaging out the inflaton oscillations but strictly speaking the evolution of \zeta\ is ill posed mathematically. We solve this problem in the free theory by introducing a family of smooth gauges that still eliminates the inflaton fluctuation \phi\ in the Hamiltonian formalism and gives a well behaved curvature perturbation \zeta, which is now rigorously conserved at superhorizon scales. At the linearized level, this conserved variable can be used to unambiguously propagate the inflationary perturbations from the end of inflation to subsequent epochs. We discuss the implications of our results for the inflationary predictions.
|
hep-th/0306077
|
Norisuke Sakai
|
Kazuya Kakimoto and Norisuke Sakai
|
Domain Wall Junction in N=2 Supersymmetric QED in four dimensions
|
27 pages, 6 figures, comments on zero modes added, a few references
added
|
Phys.Rev. D68 (2003) 065005
|
10.1103/PhysRevD.68.065005
|
TIT/HEP-495
|
hep-th hep-ph
| null |
An exact solution of domain wall junction is obtained in N=2 supersymmetric
(SUSY) QED with three massive hypermultiplets. The junction preserves two out
of eight SUSY. Both a (magnetic) Fayet-Iliopoulos (FI) term and complex masses
for hypermultiplets are needed to obtain the junction solution. There are zero
modes corresponding to spontaneously broken translation, SUSY, and U(1). All
broken and unbroken SUSY charges are explicitly worked out in the Wess-Zumino
gauge in N=1 superfields as well as in components. The relation to models in
five dimensions is also clarified.
|
[
{
"created": "Tue, 10 Jun 2003 00:58:40 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Jul 2003 07:48:07 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Kakimoto",
"Kazuya",
""
],
[
"Sakai",
"Norisuke",
""
]
] |
An exact solution of domain wall junction is obtained in N=2 supersymmetric (SUSY) QED with three massive hypermultiplets. The junction preserves two out of eight SUSY. Both a (magnetic) Fayet-Iliopoulos (FI) term and complex masses for hypermultiplets are needed to obtain the junction solution. There are zero modes corresponding to spontaneously broken translation, SUSY, and U(1). All broken and unbroken SUSY charges are explicitly worked out in the Wess-Zumino gauge in N=1 superfields as well as in components. The relation to models in five dimensions is also clarified.
|
1606.03226
|
Pujian Mao
|
Pujian Mao, Xiaoning Wu, Hongbao Zhang
|
Soft hairs on isolated horizon implanted by electromagnetic fields
|
v3: Typos fixed to match the published version
|
Class. Quantum Grav. 34 (2017) 055003
|
10.1088/1361-6382/aa59da
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Inspired by the recent proposal of soft hair on black holes in Phys. Rev.
Lett. 116, 231301 (2016), we have shown that an isolated horizon carries soft
hairs implanted by electromagnetic fields. The solution space and the
asymptotic symmetries of Einstein-Maxwell theory have been worked out
explicitly near isolated horizon. The conserved current has been computed and
an infinite number of near horizon charges have been introduced from the
electromagnetic fields associated to the asymptotic $U(1)$ symmetry near the
horizon, which indicates the fact that isolated horizon carries a large amount
of soft electric hairs. The soft electric hairs, i.e. asymptotic $U(1)$
charges, are shown to be equivalent to the electric multipole moments of
isolated horizons. It is further argued that the isolated horizon
supertranslation is from the ambiguity of its foliation and an analogue of
memory effect on horizon can be expected.
|
[
{
"created": "Fri, 10 Jun 2016 08:32:34 GMT",
"version": "v1"
},
{
"created": "Tue, 17 Jan 2017 13:50:26 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 2017 11:16:14 GMT",
"version": "v3"
}
] |
2017-02-08
|
[
[
"Mao",
"Pujian",
""
],
[
"Wu",
"Xiaoning",
""
],
[
"Zhang",
"Hongbao",
""
]
] |
Inspired by the recent proposal of soft hair on black holes in Phys. Rev. Lett. 116, 231301 (2016), we have shown that an isolated horizon carries soft hairs implanted by electromagnetic fields. The solution space and the asymptotic symmetries of Einstein-Maxwell theory have been worked out explicitly near isolated horizon. The conserved current has been computed and an infinite number of near horizon charges have been introduced from the electromagnetic fields associated to the asymptotic $U(1)$ symmetry near the horizon, which indicates the fact that isolated horizon carries a large amount of soft electric hairs. The soft electric hairs, i.e. asymptotic $U(1)$ charges, are shown to be equivalent to the electric multipole moments of isolated horizons. It is further argued that the isolated horizon supertranslation is from the ambiguity of its foliation and an analogue of memory effect on horizon can be expected.
|
0708.2568
|
Oisin A. P. Mac Conamhna
|
Oisin A. P. Mac Conamhna
|
Spacetime singularity resolution by M-theory fivebranes: calibrated
geometry, Anti-de Sitter solutions and special holonomy metrics
|
1+52 pages
|
Commun.Math.Phys.284:345-389,2008
|
10.1007/s00220-008-0570-x
|
Imperial/TP/2007/OC/03
|
hep-th
| null |
The supergravity description of various configurations of supersymmetric
M-fivebranes wrapped on calibrated cycles of special holonomy manifolds is
studied. The description is provided by solutions of eleven-dimensional
supergravity which interpolate smoothly between a special holonomy manifold and
an event horizon with Anti-de Sitter geometry. For known examples of Anti-de
Sitter solutions, the associated special holonomy metric is derived. One
explicit Anti-de Sitter solution of M-theory is so treated for fivebranes
wrapping each of the following cycles: K\"{a}hler cycles in Calabi-Yau two-,
three- and four-folds; special lagrangian cycles in three- and four-folds;
associative three- and co-associative four-cycles in $G_2$ manifolds; complex
lagrangian four-cycles in $Sp(2)$ manifolds; and Cayley four-cycles in
$Spin(7)$ manifolds. In each case, the associated special holonomy metric is
singular, and is a hyperbolic analogue of a known metric. The analogous known
metrics are respectively: Eguchi-Hanson, the resolved conifold and the
four-fold resolved conifold; the deformed conifold, and the Stenzel four-fold
metric; the Bryant-Salamon-Gibbons-Page-Pope $G_2$ metrics on an $\mathbb{R}^4$
bundle over $S^3$, and an $\mathbb{R}^3$ bundle over $S^4$ or $\mathbb{CP}^2$;
the Calabi hyper-K\"{a}hler metric on $T^*\mathbb{CP}^2$; and the
Bryant-Salamon-Gibbons-Page-Pope $Spin(7)$ metric on an $\mathbb{R}^4$ bundle
over $S^4$. By the AdS/CFT correspondence, a conformal field theory is
associated to each of the new singular special holonomy metrics, and defines
the quantum gravitational physics of the resolution of their singularities.
|
[
{
"created": "Mon, 20 Aug 2007 15:34:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Mac Conamhna",
"Oisin A. P.",
""
]
] |
The supergravity description of various configurations of supersymmetric M-fivebranes wrapped on calibrated cycles of special holonomy manifolds is studied. The description is provided by solutions of eleven-dimensional supergravity which interpolate smoothly between a special holonomy manifold and an event horizon with Anti-de Sitter geometry. For known examples of Anti-de Sitter solutions, the associated special holonomy metric is derived. One explicit Anti-de Sitter solution of M-theory is so treated for fivebranes wrapping each of the following cycles: K\"{a}hler cycles in Calabi-Yau two-, three- and four-folds; special lagrangian cycles in three- and four-folds; associative three- and co-associative four-cycles in $G_2$ manifolds; complex lagrangian four-cycles in $Sp(2)$ manifolds; and Cayley four-cycles in $Spin(7)$ manifolds. In each case, the associated special holonomy metric is singular, and is a hyperbolic analogue of a known metric. The analogous known metrics are respectively: Eguchi-Hanson, the resolved conifold and the four-fold resolved conifold; the deformed conifold, and the Stenzel four-fold metric; the Bryant-Salamon-Gibbons-Page-Pope $G_2$ metrics on an $\mathbb{R}^4$ bundle over $S^3$, and an $\mathbb{R}^3$ bundle over $S^4$ or $\mathbb{CP}^2$; the Calabi hyper-K\"{a}hler metric on $T^*\mathbb{CP}^2$; and the Bryant-Salamon-Gibbons-Page-Pope $Spin(7)$ metric on an $\mathbb{R}^4$ bundle over $S^4$. By the AdS/CFT correspondence, a conformal field theory is associated to each of the new singular special holonomy metrics, and defines the quantum gravitational physics of the resolution of their singularities.
|
1307.3064
|
Carlos Shahbazi
|
C.S.Shahbazi
|
Black Holes in Supergravity with Applications to String Theory
|
87 pages, author's PhD Thesis, defended on 17 June 2013, advisor
Tom\'as Ort\'in
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This thesis is devoted to the study of black hole solutions in ungauged
four-dimensional extended Supergravity. We characterize the most general
spherically symmetric and static black-hole solution of ungauged Supergravity,
and use the result to study the hidden conformal symmetries of Supergravity
black holes, obtaining the full Virasoro algebra of the dual conformal field
theory. We obtain also all the supersymmetric black-hole metrics of all
extended Supergravities using the properties of the groups of Type E7. We
introduce the H-F.G.K. formalism, which simplifies the construction of
non-supersymmetric black-hole solutions in N=2 Supergravity, and apply it to a
class of theories corresponding to Type-IIA String Theory compactified on a
Calabi-Yau threefold. As a result we obtain the so-called "quantum" black
holes, which only exist when certain quantum corrections (perturbative or
non-perturbative, depending on the solution) are included in the prepotential.
For the case of non-perturbative black holes, we elaborate on the potential
consequences of the appearance on the solution of multi-valued functions in
relation to the no-hair theorem for four-dimensional black holes. This thesis
also contains the relevant mathematical background to formulate extended
ungauged Supergravity in four-dimensions, that is, Special K\"ahler Geometry
and homogeneous spaces, as well as a brief introduction to the mathematical
structure of four-dimensional extended ungauged Supergravity.
|
[
{
"created": "Thu, 11 Jul 2013 11:34:19 GMT",
"version": "v1"
}
] |
2013-07-12
|
[
[
"Shahbazi",
"C. S.",
""
]
] |
This thesis is devoted to the study of black hole solutions in ungauged four-dimensional extended Supergravity. We characterize the most general spherically symmetric and static black-hole solution of ungauged Supergravity, and use the result to study the hidden conformal symmetries of Supergravity black holes, obtaining the full Virasoro algebra of the dual conformal field theory. We obtain also all the supersymmetric black-hole metrics of all extended Supergravities using the properties of the groups of Type E7. We introduce the H-F.G.K. formalism, which simplifies the construction of non-supersymmetric black-hole solutions in N=2 Supergravity, and apply it to a class of theories corresponding to Type-IIA String Theory compactified on a Calabi-Yau threefold. As a result we obtain the so-called "quantum" black holes, which only exist when certain quantum corrections (perturbative or non-perturbative, depending on the solution) are included in the prepotential. For the case of non-perturbative black holes, we elaborate on the potential consequences of the appearance on the solution of multi-valued functions in relation to the no-hair theorem for four-dimensional black holes. This thesis also contains the relevant mathematical background to formulate extended ungauged Supergravity in four-dimensions, that is, Special K\"ahler Geometry and homogeneous spaces, as well as a brief introduction to the mathematical structure of four-dimensional extended ungauged Supergravity.
|
0808.0912
|
Dario Martelli
|
Dario Martelli and James Sparks
|
Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
|
26 pages, 1 figure; v2: new section added, discussing explicit
examples; v3: minor changes
|
Phys.Rev.D78:126005,2008
|
10.1103/PhysRevD.78.126005
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse the classical moduli spaces of supersymmetric vacua of 3d N=2
Chern-Simons quiver gauge theories. We show quite generally that the moduli
space of the 3d theory always contains a baryonic branch of a parent 4d N=1
quiver gauge theory, where the 4d baryonic branch is determined by the vector
of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual
to a 3-fold singularity, for certain general choices of Chern-Simons levels
this branch of the moduli space of the corresponding 3d theory is a 4-fold
singularity. Our results lead to a simple general method, using existing 4d
techniques, for constructing candidate 3d N=2 superconformal Chern-Simons
quivers with AdS_4 gravity duals. As simple, but non-trivial, examples, we
identify a family of Chern-Simons quiver gauge theories which are candidate
AdS_4/CFT_3 duals to an infinite class of toric Sasaki-Einstein seven-manifolds
with explicit metrics.
|
[
{
"created": "Thu, 7 Aug 2008 19:31:28 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2008 15:31:14 GMT",
"version": "v2"
},
{
"created": "Fri, 3 Oct 2008 16:08:49 GMT",
"version": "v3"
}
] |
2008-12-30
|
[
[
"Martelli",
"Dario",
""
],
[
"Sparks",
"James",
""
]
] |
We analyse the classical moduli spaces of supersymmetric vacua of 3d N=2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N=1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fold singularity, for certain general choices of Chern-Simons levels this branch of the moduli space of the corresponding 3d theory is a 4-fold singularity. Our results lead to a simple general method, using existing 4d techniques, for constructing candidate 3d N=2 superconformal Chern-Simons quivers with AdS_4 gravity duals. As simple, but non-trivial, examples, we identify a family of Chern-Simons quiver gauge theories which are candidate AdS_4/CFT_3 duals to an infinite class of toric Sasaki-Einstein seven-manifolds with explicit metrics.
|
1612.09392
|
Fa-Min Chen
|
Fa-Min Chen
|
General Wigner Rotations in $D$ Dimensions
|
27 pages; Appendix B and C added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct general Wigner rotations for both massive and massless particles
in $D$-dimensional spacetime. We work out the explicit expressions of these
Wigner rotations for arbitrary Lorentz transformations. We study the relation
between the electromagnetic gauge invariance and the non-uniqueness of Wigner
rotation.
|
[
{
"created": "Fri, 30 Dec 2016 05:46:46 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Dec 2017 14:17:03 GMT",
"version": "v2"
}
] |
2017-12-29
|
[
[
"Chen",
"Fa-Min",
""
]
] |
We construct general Wigner rotations for both massive and massless particles in $D$-dimensional spacetime. We work out the explicit expressions of these Wigner rotations for arbitrary Lorentz transformations. We study the relation between the electromagnetic gauge invariance and the non-uniqueness of Wigner rotation.
|
0910.3862
|
Rudolf Baier
|
Rudolf Baier
|
R-charge thermodynamical spectral sum rule in N=4 Yang-Mills theory
|
5 pages
| null | null |
BI-TP 2009/22
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A sum rule related to the R-current correlator at vanishing three-momentum is
derived in the N=4 supersymmetric Yang-Mills field theory at infinite 't Hooft
coupling. For reference it is compared to the one in the free field theory,
i.e. at the one loop perturbative approximation.
|
[
{
"created": "Tue, 20 Oct 2009 15:07:49 GMT",
"version": "v1"
}
] |
2009-10-21
|
[
[
"Baier",
"Rudolf",
""
]
] |
A sum rule related to the R-current correlator at vanishing three-momentum is derived in the N=4 supersymmetric Yang-Mills field theory at infinite 't Hooft coupling. For reference it is compared to the one in the free field theory, i.e. at the one loop perturbative approximation.
|
hep-th/0011246
|
PierAlberto Marchetti
|
J. Froehlich and P. A. Marchetti
|
An Order Parameter Reconciling Abelian and Center Dominance in SU(2)
Yang-Mills Theory
|
TeX file, 31 pages
|
Phys.Rev. D64 (2001) 014505
|
10.1103/PhysRevD.64.014505
|
DFPD 00/TH/52
|
hep-th hep-lat
| null |
We analyze previously proposed order parameters for the confinement -
deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum
expectation value (v.e.v.) of monopole fields in abelian projection gauges. We
show that they exhibit some inconsistency in the treatment of small scales, due
to a violation of Dirac quantization condition for fluxes. We propose a new
order parameter avoiding this inconsistency. It can be interpreted as v.e.v. of
the field of a regular monopole in any abelian projection gauge, but it is
independent of the choice of the abelian projection. Furthermore, being
constructed in terms of surfaces of center vortices, it has also a natural
interpretation in the approach of center dominance.
|
[
{
"created": "Tue, 28 Nov 2000 09:51:29 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Froehlich",
"J.",
""
],
[
"Marchetti",
"P. A.",
""
]
] |
We analyze previously proposed order parameters for the confinement - deconfinement transition in lattice SU(2) Yang-Mills theory, defined as vacuum expectation value (v.e.v.) of monopole fields in abelian projection gauges. We show that they exhibit some inconsistency in the treatment of small scales, due to a violation of Dirac quantization condition for fluxes. We propose a new order parameter avoiding this inconsistency. It can be interpreted as v.e.v. of the field of a regular monopole in any abelian projection gauge, but it is independent of the choice of the abelian projection. Furthermore, being constructed in terms of surfaces of center vortices, it has also a natural interpretation in the approach of center dominance.
|
2304.02660
|
Lakshya Bhardwaj
|
Lakshya Bhardwaj, Sakura Schafer-Nameki
|
Generalized Charges, Part I: Invertible Symmetries and Higher
Representations
|
77 pages, v4: minor revision
|
SciPost Phys. 16, 093 (2024)
|
10.21468/SciPostPhys.16.4.093
| null |
hep-th cond-mat.str-el math.CT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
$q$-charges describe the possible actions of a generalized symmetry on
$q$-dimensional operators. In Part I of this series of papers, we describe
$q$-charges for invertible symmetries; while the discussion of $q$-charges for
non-invertible symmetries is the topic of Part II. We argue that $q$-charges of
a standard global symmetry, also known as a 0-form symmetry, correspond to the
so-called $(q+1)$-representations of the 0-form symmetry group, which are
natural higher-categorical generalizations of the standard notion of
representations of a group. This generalizes already our understanding of
possible charges under a 0-form symmetry! Just like local operators form
representations of the 0-form symmetry group, higher-dimensional extended
operators form higher-representations. This statement has a straightforward
generalization to other invertible symmetries: $q$-charges of higher-form and
higher-group symmetries are $(q+1)$-representations of the corresponding
higher-groups. There is a natural extension to higher-charges of non-genuine
operators (i.e. operators that are attached to higher-dimensional operators),
which will be shown to be intertwiners of higher-representations. This brings
into play the higher-categorical structure of higher-representations. We also
discuss higher-charges of twisted sector operators (i.e. operators that appear
at the boundary of topological operators of one dimension higher), including
operators that appear at the boundary of condensation defects.
|
[
{
"created": "Wed, 5 Apr 2023 18:00:00 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Apr 2023 13:33:22 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Apr 2023 11:58:22 GMT",
"version": "v3"
},
{
"created": "Sat, 2 Mar 2024 19:10:29 GMT",
"version": "v4"
}
] |
2024-04-10
|
[
[
"Bhardwaj",
"Lakshya",
""
],
[
"Schafer-Nameki",
"Sakura",
""
]
] |
$q$-charges describe the possible actions of a generalized symmetry on $q$-dimensional operators. In Part I of this series of papers, we describe $q$-charges for invertible symmetries; while the discussion of $q$-charges for non-invertible symmetries is the topic of Part II. We argue that $q$-charges of a standard global symmetry, also known as a 0-form symmetry, correspond to the so-called $(q+1)$-representations of the 0-form symmetry group, which are natural higher-categorical generalizations of the standard notion of representations of a group. This generalizes already our understanding of possible charges under a 0-form symmetry! Just like local operators form representations of the 0-form symmetry group, higher-dimensional extended operators form higher-representations. This statement has a straightforward generalization to other invertible symmetries: $q$-charges of higher-form and higher-group symmetries are $(q+1)$-representations of the corresponding higher-groups. There is a natural extension to higher-charges of non-genuine operators (i.e. operators that are attached to higher-dimensional operators), which will be shown to be intertwiners of higher-representations. This brings into play the higher-categorical structure of higher-representations. We also discuss higher-charges of twisted sector operators (i.e. operators that appear at the boundary of topological operators of one dimension higher), including operators that appear at the boundary of condensation defects.
|
hep-th/9612238
| null |
Alexander Gorsky
|
Branes and integrability in the N=2 SUSY YM theory
|
Latex,minor changes,version published in Phys.Lett.B
|
Phys.Lett. B410 (1997) 22-26
|
10.1016/S0370-2693(97)00961-1
| null |
hep-th
| null |
We suggest the brane interpretation of the integrable dynamics behind the
exact solution to the N=2 SUSY YM theory. Degrees of freedom of the Calogero
type integrable system responsible for the appearance of the spectral Riemann
surfaces originate from the collective coordinates of the dynamical branes. The
second Whitham type integrable system corresponds to the low energy scattering
of branes similar to the scattering of the magnetic monopoles.
|
[
{
"created": "Thu, 26 Dec 1996 18:46:38 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Sep 1997 12:32:11 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Gorsky",
"Alexander",
""
]
] |
We suggest the brane interpretation of the integrable dynamics behind the exact solution to the N=2 SUSY YM theory. Degrees of freedom of the Calogero type integrable system responsible for the appearance of the spectral Riemann surfaces originate from the collective coordinates of the dynamical branes. The second Whitham type integrable system corresponds to the low energy scattering of branes similar to the scattering of the magnetic monopoles.
|
hep-th/9502093
|
Panagiota Kanti
|
P.Kanti and K.Tamvakis
|
Classical moduli hair for Kerr black holes in String Gravity
|
8 pages,LaTex file,no figures(one reference corrected,some terms in
Einstein's equation changed,no effect on our results).
| null | null |
IOA-316/95
|
hep-th gr-qc
| null |
We compute the external moduli and dilaton hair to $O(\alpha')$ in the
framework of the one-loop corrected superstring effective action for a rotating
black hole background.
|
[
{
"created": "Wed, 15 Feb 1995 10:02:49 GMT",
"version": "v1"
},
{
"created": "Sun, 5 Mar 1995 16:44:21 GMT",
"version": "v2"
}
] |
2016-09-06
|
[
[
"Kanti",
"P.",
""
],
[
"Tamvakis",
"K.",
""
]
] |
We compute the external moduli and dilaton hair to $O(\alpha')$ in the framework of the one-loop corrected superstring effective action for a rotating black hole background.
|
hep-th/0003135
|
Glenn Barnich
|
Glenn Barnich
|
Refining the anomaly consistency condition
|
20 pages RevTex file
|
Phys.Rev. D62 (2000) 045007
|
10.1103/PhysRevD.62.045007
|
ULB-TH-99/27
|
hep-th
| null |
In the extended antifield formalism, a quantum BRST differential for
anomalous gauge theories is constructed. Local BRST cohomological classes are
characterized, besides the form degree and the ghost number, by the length of
their descents and of their lifts, and this both in the standard and the
extended antifield formalism. It is shown that during the BRST invariant
renormalization of a local BRST cohomological class, the anomaly that can
appear is constrained to be a local BRST cohomological class with a shorter
descent and a longer lift than the given class. As an application of both
results, a simple approach to the Adler-Bardeen theorem for the non abelian
gauge anomaly is proposed. It applies independently of the gauge fixing, of
power counting restrictions and does not rely on the use of the Callan-Symanzik
equation.
|
[
{
"created": "Wed, 15 Mar 2000 22:02:54 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Barnich",
"Glenn",
""
]
] |
In the extended antifield formalism, a quantum BRST differential for anomalous gauge theories is constructed. Local BRST cohomological classes are characterized, besides the form degree and the ghost number, by the length of their descents and of their lifts, and this both in the standard and the extended antifield formalism. It is shown that during the BRST invariant renormalization of a local BRST cohomological class, the anomaly that can appear is constrained to be a local BRST cohomological class with a shorter descent and a longer lift than the given class. As an application of both results, a simple approach to the Adler-Bardeen theorem for the non abelian gauge anomaly is proposed. It applies independently of the gauge fixing, of power counting restrictions and does not rely on the use of the Callan-Symanzik equation.
|
1005.1367
|
Masashi Kimura
|
Ryusuke Nishikawa, Masashi Kimura
|
Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
|
31 pages, 10 figures, title changed
|
Class.Quant.Grav.27:215020,2010
|
10.1088/0264-9381/27/21/215020
|
OCU-PHYS 328, AP-GR 75
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study gravitational and electromagnetic perturbation around the squashed
Kaluza-Klein black holes with charge. Since the black hole spacetime focused on
this paper have $SU(2) \times U(1) \simeq U(2)$ symmetry, we can separate the
variables of the equations for perturbations by using Wigner function
$D^{J}_{KM}$ which is the irreducible representation of the symmetry. In this
paper, we mainly treat $J=0$ modes which preserve $SU(2)$ symmetry. We derive
the master equations for the $J=0$ modes and discuss the stability of these
modes. We show that the modes of $J = 0$ and $ K=0,\pm 2$ and the modes of $K =
\pm (J + 2)$ are stable against small perturbations from the positivity of the
effective potential. As for $J = 0, K=\pm 1$ modes, since there are domains
where the effective potential is negative except for maximally charged case, it
is hard to show the stability of these modes in general. To show stability for
$J = 0, K=\pm 1$ modes in general is open issue. However, we can show the
stability for $J = 0, K=\pm 1$ modes in maximally charged case where the
effective potential are positive out side of the horizon.
|
[
{
"created": "Sun, 9 May 2010 05:58:12 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2010 15:45:36 GMT",
"version": "v2"
}
] |
2010-10-11
|
[
[
"Nishikawa",
"Ryusuke",
""
],
[
"Kimura",
"Masashi",
""
]
] |
We study gravitational and electromagnetic perturbation around the squashed Kaluza-Klein black holes with charge. Since the black hole spacetime focused on this paper have $SU(2) \times U(1) \simeq U(2)$ symmetry, we can separate the variables of the equations for perturbations by using Wigner function $D^{J}_{KM}$ which is the irreducible representation of the symmetry. In this paper, we mainly treat $J=0$ modes which preserve $SU(2)$ symmetry. We derive the master equations for the $J=0$ modes and discuss the stability of these modes. We show that the modes of $J = 0$ and $ K=0,\pm 2$ and the modes of $K = \pm (J + 2)$ are stable against small perturbations from the positivity of the effective potential. As for $J = 0, K=\pm 1$ modes, since there are domains where the effective potential is negative except for maximally charged case, it is hard to show the stability of these modes in general. To show stability for $J = 0, K=\pm 1$ modes in general is open issue. However, we can show the stability for $J = 0, K=\pm 1$ modes in maximally charged case where the effective potential are positive out side of the horizon.
|
2408.01149
|
Amijit Bhattacharjee
|
Amijit Bhattacharjee and Prabwal Phukon
|
Charged Rotating BTZ Black Hole In The Non-Extensive Generalizations of
Gibbs Entropy
|
32 Page, 29 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We study the thermodynamics and thermodynamic geometry of the (2+1)
dimensional charged rotating Banados-Teitelboim-Zanelli(CR-BTZ) black hole
within the framework of non-extensive generalizations of Gibbs entropy. We
write down the Bekenstein-Hawking(BH) entropy of the black hole in terms of the
non-extensive entropies namely: Kaniadakis entropy, Renyi entropy,
Sharma-Mittal entropy, Tsallis-Cirto and Barrow entropy. We investigate their
impact on the thermodynamic phase structure and geometry of the CR-BTZ black
hole in four different ensembles namely: the fixed $(J,Q)$ ensemble, fixed
$(\Omega,\Phi)$ ensemble, fixed $(J,\Phi)$ ensemble and the fixed $(\Omega,Q)$
ensemble where $ J, Q, \Omega$ and $ \Phi$ represent the angular momentum,
electric charge, angular velocity and electric potential of the CR-BTZ black
hole respectively. We investigate the Ruppeiner and geometrothermodynamic(GTD)
geometries of the black hole for all the non-extensive entropy cases. We find
that there are Davies type phase transitions in the CR-BTZ black hole for the
Kaniadakis entropy case for all the above mentioned thermodynamic ensembles.
These Davies type phase transitions were not seen in the BH entropy case. We
also find that the Ruppeiner and the GTD scalar for the Kaniadakis entropy show
curvature singularities corresponding to these Davies type phase transitions in
the CR-BTZ black hole.
|
[
{
"created": "Fri, 2 Aug 2024 10:03:59 GMT",
"version": "v1"
}
] |
2024-08-05
|
[
[
"Bhattacharjee",
"Amijit",
""
],
[
"Phukon",
"Prabwal",
""
]
] |
We study the thermodynamics and thermodynamic geometry of the (2+1) dimensional charged rotating Banados-Teitelboim-Zanelli(CR-BTZ) black hole within the framework of non-extensive generalizations of Gibbs entropy. We write down the Bekenstein-Hawking(BH) entropy of the black hole in terms of the non-extensive entropies namely: Kaniadakis entropy, Renyi entropy, Sharma-Mittal entropy, Tsallis-Cirto and Barrow entropy. We investigate their impact on the thermodynamic phase structure and geometry of the CR-BTZ black hole in four different ensembles namely: the fixed $(J,Q)$ ensemble, fixed $(\Omega,\Phi)$ ensemble, fixed $(J,\Phi)$ ensemble and the fixed $(\Omega,Q)$ ensemble where $ J, Q, \Omega$ and $ \Phi$ represent the angular momentum, electric charge, angular velocity and electric potential of the CR-BTZ black hole respectively. We investigate the Ruppeiner and geometrothermodynamic(GTD) geometries of the black hole for all the non-extensive entropy cases. We find that there are Davies type phase transitions in the CR-BTZ black hole for the Kaniadakis entropy case for all the above mentioned thermodynamic ensembles. These Davies type phase transitions were not seen in the BH entropy case. We also find that the Ruppeiner and the GTD scalar for the Kaniadakis entropy show curvature singularities corresponding to these Davies type phase transitions in the CR-BTZ black hole.
|
hep-th/0604024
|
Paul K. Townsend
|
G.W. Gibbons and P.K. Townsend
|
Self-gravitating Yang Monopoles in all Dimensions
|
16 pp. Extensive revision to include case of non-zero cosmological
constant and implications for adS/CFT. Numerous additional references
|
Class.Quant.Grav.23:4873-4886,2006
|
10.1088/0264-9381/23/15/007
|
DAMTP-2006-24
|
hep-th
| null |
The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k)
(or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of
spherically-symmetric magnetic monopole solutions, for both zero and non-zero
cosmological constant Lambda, characterized by a mass m and a magnetic-type
charge. The k=1 case is the Reissner-Nordstrom black hole. The k=2 case yields
a family of self-gravitating Yang monopoles. The asymptotic spacetime is
Minkowski for Lambda=0 and anti-de Sitter for Lambda<0, but the total energy is
infinite for k>1. In all cases, there is an event horizon when m>m_c, for some
critical mass $m_c$, which is negative for k>1. The horizon is degenerate when
m=m_c, and the near-horizon solution is then an adS_2 x S^{2k} vacuum.
|
[
{
"created": "Tue, 4 Apr 2006 17:26:45 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Apr 2006 11:58:04 GMT",
"version": "v2"
},
{
"created": "Sat, 3 Jun 2006 11:11:56 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Gibbons",
"G. W.",
""
],
[
"Townsend",
"P. K.",
""
]
] |
The (2k+2)-dimensional Einstein-Yang-Mills equations for gauge group SO(2k) (or SU(2) for k=2 and SU(3) for k=3) are shown to admit a family of spherically-symmetric magnetic monopole solutions, for both zero and non-zero cosmological constant Lambda, characterized by a mass m and a magnetic-type charge. The k=1 case is the Reissner-Nordstrom black hole. The k=2 case yields a family of self-gravitating Yang monopoles. The asymptotic spacetime is Minkowski for Lambda=0 and anti-de Sitter for Lambda<0, but the total energy is infinite for k>1. In all cases, there is an event horizon when m>m_c, for some critical mass $m_c$, which is negative for k>1. The horizon is degenerate when m=m_c, and the near-horizon solution is then an adS_2 x S^{2k} vacuum.
|
hep-th/0410127
|
Yao-Zhong Zhang
|
Yao-Zhong Zhang, Xin Liu and Wen-Li Yang (University of Queensland)
|
Primary fields and screening currents of gl(2|2) non-unitary conformal
field theory
|
LaTex 16 pages, to appear in Nucl. Phys. B
|
Nucl.Phys. B704 (2005) 510-526
|
10.1016/j.nuclphysb.2004.10.011
| null |
hep-th
| null |
The non-semisimple $gl(2|2)_k$ current superalgebra in the standard basis and
the corresponding non-unitary conformal field theory are investigated. Infinite
families of primary fields corresponding to all finite-dimensional irreducible
typical and atypical representations of $gl(2|2)$ and three (two even and one
odd) screening currents of the first kind are constructed explicitly in terms
of ten free fields.
|
[
{
"created": "Tue, 12 Oct 2004 00:57:53 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Zhang",
"Yao-Zhong",
"",
"University of Queensland"
],
[
"Liu",
"Xin",
"",
"University of Queensland"
],
[
"Yang",
"Wen-Li",
"",
"University of Queensland"
]
] |
The non-semisimple $gl(2|2)_k$ current superalgebra in the standard basis and the corresponding non-unitary conformal field theory are investigated. Infinite families of primary fields corresponding to all finite-dimensional irreducible typical and atypical representations of $gl(2|2)$ and three (two even and one odd) screening currents of the first kind are constructed explicitly in terms of ten free fields.
|
1512.01531
|
Vasyl Alba
|
Vasyl Alba and Juan Maldacena
|
Primordial gravity wave background anisotropies
|
5 pages, 2 figures, references corrected
| null |
10.1007/JHEP03(2016)115
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the primordial gravity wave background produced by inflation. We
compute the small anisotropy produced by the primordial scalar fluctuations.
|
[
{
"created": "Fri, 4 Dec 2015 20:20:56 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Dec 2015 14:27:22 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Dec 2015 17:20:54 GMT",
"version": "v3"
}
] |
2016-04-20
|
[
[
"Alba",
"Vasyl",
""
],
[
"Maldacena",
"Juan",
""
]
] |
We consider the primordial gravity wave background produced by inflation. We compute the small anisotropy produced by the primordial scalar fluctuations.
|
2204.02534
|
Oswaldo Monteiro Del Cima
|
O.M. Del Cima, L.S. Lima, E.S. Miranda
|
The spectrum consistency of fractional quantum Hall effect model
|
6 pages
|
EPL, 147 (2024) 14001
|
10.1209/0295-5075/ad59be
| null |
hep-th cond-mat.mes-hall cond-mat.other cond-mat.str-el quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The spectrum consistency of the three fermion family $U(1)\times U(1)$
quantum electrodynamics in three space-time dimensions [Phys. Rev. Lett. 124
(2020) 131601] is analyzed. It has been verified that the originally proposed
action violates the unitarity consistency condition in the gauge field sector
by exhibiting negative norm states in the spectrum. However, the cure came
through the fundamental gauge fields properly settled, consequently, the action
rewritten in terms of those fundamental fields shows to be free from any
spurious degrees of freedom, and the model now becomes safe for further
quantization.
|
[
{
"created": "Wed, 6 Apr 2022 01:22:12 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jul 2024 14:43:18 GMT",
"version": "v2"
}
] |
2024-07-24
|
[
[
"Del Cima",
"O. M.",
""
],
[
"Lima",
"L. S.",
""
],
[
"Miranda",
"E. S.",
""
]
] |
The spectrum consistency of the three fermion family $U(1)\times U(1)$ quantum electrodynamics in three space-time dimensions [Phys. Rev. Lett. 124 (2020) 131601] is analyzed. It has been verified that the originally proposed action violates the unitarity consistency condition in the gauge field sector by exhibiting negative norm states in the spectrum. However, the cure came through the fundamental gauge fields properly settled, consequently, the action rewritten in terms of those fundamental fields shows to be free from any spurious degrees of freedom, and the model now becomes safe for further quantization.
|
hep-th/9505009
|
Poul H. Damgaard, Nbi
|
A. Nersessian and P.H. Damgaard
|
Comments on the Covariant Sp(2)-Symmetric Lagrangian BRST Formalism
|
9 pages, LaTeX
|
Phys.Lett. B355 (1995) 150-156
|
10.1016/0370-2693(95)00750-F
|
UUITP-5/95
|
hep-th
| null |
We give a simple geometrical picture of the basic structures of the covariant
$Sp(2)$ symmetric quantization formalism -- triplectic quantization -- recently
suggested by Batalin, Marnelius and Semikhatov. In particular, we show that the
appearance of an even Poisson bracket is not a particular property of
triplectic quantization. Rather, any solution of the classical master equation
generates on a Lagrangian surface of the antibracket an even Poisson bracket.
Also other features of triplectic quantization can be identified with aspects
of conventional Lagrangian BRST quantization without extended BRST symmetry.
|
[
{
"created": "Tue, 2 May 1995 15:13:40 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Nersessian",
"A.",
""
],
[
"Damgaard",
"P. H.",
""
]
] |
We give a simple geometrical picture of the basic structures of the covariant $Sp(2)$ symmetric quantization formalism -- triplectic quantization -- recently suggested by Batalin, Marnelius and Semikhatov. In particular, we show that the appearance of an even Poisson bracket is not a particular property of triplectic quantization. Rather, any solution of the classical master equation generates on a Lagrangian surface of the antibracket an even Poisson bracket. Also other features of triplectic quantization can be identified with aspects of conventional Lagrangian BRST quantization without extended BRST symmetry.
|
hep-th/0211259
|
Hiroshi Itoyama
|
H. Itoyama, A. Morozov
|
Experiments with the WDVV equations for the gluino-condensate
prepotential: the cubic (two-cut) case
|
10 pages, Latex
|
Phys.Lett. B555 (2003) 287-295
|
10.1016/S0370-2693(03)00077-7
|
OCU-PHYS-195, ITEP/TH-58/02
|
hep-th
| null |
We demonstrate by explicit calculation that the first two terms in the CIV-DV
prepotential for the two-cut case satisfy the generalized WDVV equations, just
as in all other known examples of hyperelliptic Seiberg-Witten models. The WDVV
equations are non-trivial in this situation, provided the set of moduli is
extended as compared to the Dijkgraaf-Vafa suggestion and includes also moduli,
associated with the positions of the cuts (not only with their lengths).
Expression for the extra modulus dictated by WDVV equation, however, appears
different from a naive expectation implied by the Whitham theory. Moreover, for
every value of the "quantum-deformation parameter" 1/g_3, we actually find an
entire one-parameter family of solutions to the WDVV equations, of which the
conventional prepotential is just a single point.
|
[
{
"created": "Wed, 27 Nov 2002 16:23:07 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Itoyama",
"H.",
""
],
[
"Morozov",
"A.",
""
]
] |
We demonstrate by explicit calculation that the first two terms in the CIV-DV prepotential for the two-cut case satisfy the generalized WDVV equations, just as in all other known examples of hyperelliptic Seiberg-Witten models. The WDVV equations are non-trivial in this situation, provided the set of moduli is extended as compared to the Dijkgraaf-Vafa suggestion and includes also moduli, associated with the positions of the cuts (not only with their lengths). Expression for the extra modulus dictated by WDVV equation, however, appears different from a naive expectation implied by the Whitham theory. Moreover, for every value of the "quantum-deformation parameter" 1/g_3, we actually find an entire one-parameter family of solutions to the WDVV equations, of which the conventional prepotential is just a single point.
|
hep-th/9609017
|
Gregory Moore
|
Jeffrey A. Harvey and Gregory Moore
|
On the algebras of BPS states
|
43 pages, harvmac (b), no figures. References added. We clarify the
use of the term GKM
|
Commun.Math.Phys.197:489-519,1998
|
10.1007/s002200050461
| null |
hep-th alg-geom math.AG
| null |
We define an algebra on the space of BPS states in theories with extended
supersymmetry. We show that the algebra of perturbative BPS states in toroidal
compactification of the heterotic string is closely related to a generalized
Kac-Moody algebra. We use D-brane theory to compare the formulation of
RR-charged BPS algebras in type II compactification with the requirements of
string/string duality and find that the RR charged BPS states should be
regarded as cohomology classes on moduli spaces of coherent sheaves. The
equivalence of the algebra of BPS states in heterotic/IIA dual pairs elucidates
certain results and conjectures of Nakajima and Gritsenko & Nikulin, on
geometrically defined algebras and furthermore suggests nontrivial
generalizations of these algebras. In particular, to any Calabi-Yau 3-fold
there are two canonically associated algebras exchanged by mirror symmetry.
|
[
{
"created": "Sun, 1 Sep 1996 22:20:04 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jan 1997 17:23:53 GMT",
"version": "v2"
}
] |
2010-11-19
|
[
[
"Harvey",
"Jeffrey A.",
""
],
[
"Moore",
"Gregory",
""
]
] |
We define an algebra on the space of BPS states in theories with extended supersymmetry. We show that the algebra of perturbative BPS states in toroidal compactification of the heterotic string is closely related to a generalized Kac-Moody algebra. We use D-brane theory to compare the formulation of RR-charged BPS algebras in type II compactification with the requirements of string/string duality and find that the RR charged BPS states should be regarded as cohomology classes on moduli spaces of coherent sheaves. The equivalence of the algebra of BPS states in heterotic/IIA dual pairs elucidates certain results and conjectures of Nakajima and Gritsenko & Nikulin, on geometrically defined algebras and furthermore suggests nontrivial generalizations of these algebras. In particular, to any Calabi-Yau 3-fold there are two canonically associated algebras exchanged by mirror symmetry.
|
1910.12565
|
Antonio Gonz\'alez-Arroyo
|
Antonio Gonz\'alez-Arroyo
|
Constructing SU(N) fractional instantons
|
pdflatex. 29 pages, no figures
| null |
10.1007/JHEP02(2020)137
|
IFT-UAM/CSIC-19-138 ; FTUAM-19-19
|
hep-th hep-lat math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study self-dual SU(N) gauge field configurations on the 4 torus with
twisted boundary conditions, known as fractional instantons. Focusing on the
minimum non-zero action case, we generalize the constant field strength
solutions discovered by `t Hooft and valid for certain geometries. For the
general case, we construct the vector potential and field strength in a power
series expansion in a deformation parameter of the metric. The next to leading
term is explicitly computed. The methodology is an extension of that used by
the author for SU(2) fractional instantons and for vortices in two-dimensional
Abelian Higgs models. Obviously, these solutions can also be seen as self-dual
configurations in $\mathbb{R}^4$ having a crystal structure, where each node of
the crystal carries a topological charge of $1/N$.
|
[
{
"created": "Mon, 28 Oct 2019 11:28:26 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"González-Arroyo",
"Antonio",
""
]
] |
We study self-dual SU(N) gauge field configurations on the 4 torus with twisted boundary conditions, known as fractional instantons. Focusing on the minimum non-zero action case, we generalize the constant field strength solutions discovered by `t Hooft and valid for certain geometries. For the general case, we construct the vector potential and field strength in a power series expansion in a deformation parameter of the metric. The next to leading term is explicitly computed. The methodology is an extension of that used by the author for SU(2) fractional instantons and for vortices in two-dimensional Abelian Higgs models. Obviously, these solutions can also be seen as self-dual configurations in $\mathbb{R}^4$ having a crystal structure, where each node of the crystal carries a topological charge of $1/N$.
|
hep-th/0604218
|
Luca Grisa
|
Gregory Gabadadze, Luca Grisa and Yanwen Shang
|
Resonance in Asymmetric Warped Geometry
|
17 pages, 9 figures; v2 references with comments added; v3 two
references added, JHEP version
|
JHEP0608:033,2006
|
10.1088/1126-6708/2006/08/033
| null |
hep-th
| null |
We study the spectrum of an asymmetric warped braneworld model with different
AdS curvatures on either side of the brane. In addition to the RS-like modes we
find a resonance state. Its mass is proportional to the geometric mean of the
two AdS curvature scales, while the difference between them determines the
strength of the resonance peak. There is a complementarity between the RS
zero-mode and the resonance: making the asymmetry stronger weakens the
zero-mode but strengthens the resonance, and vice versa. We calculate
numerically the braneworld gravitational potential and discuss the holographic
correspondence for the asymmetric model.
|
[
{
"created": "Fri, 28 Apr 2006 18:54:49 GMT",
"version": "v1"
},
{
"created": "Tue, 16 May 2006 18:51:30 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Jul 2006 20:13:34 GMT",
"version": "v3"
}
] |
2009-11-11
|
[
[
"Gabadadze",
"Gregory",
""
],
[
"Grisa",
"Luca",
""
],
[
"Shang",
"Yanwen",
""
]
] |
We study the spectrum of an asymmetric warped braneworld model with different AdS curvatures on either side of the brane. In addition to the RS-like modes we find a resonance state. Its mass is proportional to the geometric mean of the two AdS curvature scales, while the difference between them determines the strength of the resonance peak. There is a complementarity between the RS zero-mode and the resonance: making the asymmetry stronger weakens the zero-mode but strengthens the resonance, and vice versa. We calculate numerically the braneworld gravitational potential and discuss the holographic correspondence for the asymmetric model.
|
0906.0713
|
Mohammad Reza Setare
|
J Sadeghi, M R Setare, and A Banijamali
|
Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and
Dark Energy
|
10 pages, no figure
|
Eur.Phys.J.C64:433-438,2009
|
10.1140/epjc/s10052-009-1152-6
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we show that power-law inflation can be realized in non-minimal
gravitational coupling of electromagnetic field with a general function of
Gauss-Bonnet invariant. Such a non-minimal coupling may appear due to quantum
corrections. We also consider modified Maxwell-$F(G)$ gravity in which
non-minimal coupling between electromagnetic field and $f(G)$ occur in the
framework of modified Gauss-Bonnet gravity. It is shown that inflationary
cosmology and late-time accelerated expansion of the universe are possible in
such a theory.
|
[
{
"created": "Wed, 3 Jun 2009 13:45:27 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Sadeghi",
"J",
""
],
[
"Setare",
"M R",
""
],
[
"Banijamali",
"A",
""
]
] |
In this paper we show that power-law inflation can be realized in non-minimal gravitational coupling of electromagnetic field with a general function of Gauss-Bonnet invariant. Such a non-minimal coupling may appear due to quantum corrections. We also consider modified Maxwell-$F(G)$ gravity in which non-minimal coupling between electromagnetic field and $f(G)$ occur in the framework of modified Gauss-Bonnet gravity. It is shown that inflationary cosmology and late-time accelerated expansion of the universe are possible in such a theory.
|
hep-th/0001067
|
Mikhail Plyushchay
|
Mikhail S. Plyushchay and Michel Rausch de Traubenberg
|
Cubic root of Klein-Gordon equation
|
12 pages, typos corrected. To appear in Phys. Lett. B
|
Phys.Lett. B477 (2000) 276-284
|
10.1016/S0370-2693(00)00190-8
|
USACH-FM-00/01, PM-00/01
|
hep-th gr-qc hep-ph math-ph math.MP quant-ph
| null |
We construct new relativistic linear differential equation in $d$ dimensions
generalizing Dirac equation by employing the Clifford algebra of the cubic
polynomial associated to Klein-Gordon operator multiplied by the mass
parameter. Unlike the Dirac case where the spin content is unique and Lorentz
covariance is manifest, here the spin as well as Lorentz covariance of the
theory are related to the choice of representation of the Clifford algebra. One
of the considered explicit matrix representations gives rise to anyon-like
fields in $d=1+1$. Coupling to a U(1) gauge field is discussed and compared
with Dirac theory.
|
[
{
"created": "Tue, 11 Jan 2000 15:58:50 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Feb 2000 15:27:38 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Plyushchay",
"Mikhail S.",
""
],
[
"de Traubenberg",
"Michel Rausch",
""
]
] |
We construct new relativistic linear differential equation in $d$ dimensions generalizing Dirac equation by employing the Clifford algebra of the cubic polynomial associated to Klein-Gordon operator multiplied by the mass parameter. Unlike the Dirac case where the spin content is unique and Lorentz covariance is manifest, here the spin as well as Lorentz covariance of the theory are related to the choice of representation of the Clifford algebra. One of the considered explicit matrix representations gives rise to anyon-like fields in $d=1+1$. Coupling to a U(1) gauge field is discussed and compared with Dirac theory.
|
2006.12458
|
Subham Dutta Chowdhury
|
Subham Dutta Chowdhury, Abhijit Gadde
|
Classification of four-point local gluon S-matrices
|
JHEP version, added references and minor clarifications
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we classify four-point local gluon S-matrices in arbitrary
dimensions. This is along the same lines as \cite{Chowdhury:2019kaq} where
four-point local photon S-matrices and graviton S-matrices were classified. We
do the classification explicitly for gauge groups $SO(N)$ and $SU(N)$ for all
$N$ but our method is easily generalizable to other Lie groups. The
construction involves combining not-necessarily-permutation-symmetric
four-point S-matrices of photons and those of adjoint scalars into permutation
symmetric four-point gluon S-matrix. We explicitly list both the components of
the construction, i.e permutation symmetric as well as non-symmetric four point
S-matrices, for both the photons as well as the adjoint scalars for arbitrary
dimensions and for gauge groups $SO(N)$ and $SU(N)$ for all $N$. In this paper,
we explicitly list the local Lagrangians that generate the local gluon
S-matrices for $D\geq 9$ and present the relevant counting for lower
dimensions. Local Lagrangians for gluon S-matrices in lower dimensions can be
written down following the same method. We also express the Yang-Mills four
gluon S-matrix with gluon exchange in terms of our basis structures.
|
[
{
"created": "Mon, 22 Jun 2020 17:41:14 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Nov 2020 04:55:19 GMT",
"version": "v2"
}
] |
2020-11-20
|
[
[
"Chowdhury",
"Subham Dutta",
""
],
[
"Gadde",
"Abhijit",
""
]
] |
In this paper, we classify four-point local gluon S-matrices in arbitrary dimensions. This is along the same lines as \cite{Chowdhury:2019kaq} where four-point local photon S-matrices and graviton S-matrices were classified. We do the classification explicitly for gauge groups $SO(N)$ and $SU(N)$ for all $N$ but our method is easily generalizable to other Lie groups. The construction involves combining not-necessarily-permutation-symmetric four-point S-matrices of photons and those of adjoint scalars into permutation symmetric four-point gluon S-matrix. We explicitly list both the components of the construction, i.e permutation symmetric as well as non-symmetric four point S-matrices, for both the photons as well as the adjoint scalars for arbitrary dimensions and for gauge groups $SO(N)$ and $SU(N)$ for all $N$. In this paper, we explicitly list the local Lagrangians that generate the local gluon S-matrices for $D\geq 9$ and present the relevant counting for lower dimensions. Local Lagrangians for gluon S-matrices in lower dimensions can be written down following the same method. We also express the Yang-Mills four gluon S-matrix with gluon exchange in terms of our basis structures.
|
hep-th/9312083
|
Zdenek Kopecky
|
Z. Kopecky
|
Finite Temperature Dilaton Gravity
|
10 pages, REVTeX 3.0, TP-MUBR 93-11/1
|
Phys.Rev. D49 (1994) 5194-5198
|
10.1103/PhysRevD.49.5194
| null |
hep-th
| null |
The dilaton free energy density in external static gravitational field is
found. We use the real time formulation of the finite temperature field theory
and the free energy density is computed to the first order of the string
parameter $\alpha '$. We obtain the thermal corrections to the $\alpha'$
modified Einstein gravity action.
|
[
{
"created": "Fri, 10 Dec 1993 19:52:03 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Kopecky",
"Z.",
""
]
] |
The dilaton free energy density in external static gravitational field is found. We use the real time formulation of the finite temperature field theory and the free energy density is computed to the first order of the string parameter $\alpha '$. We obtain the thermal corrections to the $\alpha'$ modified Einstein gravity action.
|
1707.07679
|
Christopher Beem
|
Christopher Beem and Leonardo Rastelli
|
Vertex operator algebras, Higgs branches, and modular differential
equations
|
66 pages. v4: typos in Eq. 5.49 corrected
|
JHEP 1808 (2018) 114
|
10.1007/JHEP08(2018)114
|
YITP-SB-17-27
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Every four-dimensional ${\cal N}=2$ superconformal field theory comes
equipped with an intricate algebraic invariant, the associated vertex operator
algebra. The relationships between this invariant and more conventional
protected quantities in the same theories have yet to be completely understood.
In this work, we aim to characterize the connection between the Higgs branch of
the moduli space of vacua (as an algebraic geometric entity) and the associated
vertex operator algebra. Ultimately our proposal is simple, but its correctness
requires the existence of a number of nontrivial null vectors in the vacuum
Verma module of the vertex operator algebra. Of particular interest is one such
null vector whose presence suggests that the Schur index of any ${\cal N}=2$
SCFT should obey a finite order modular differential equation. By way of the
"high temperature" limit of the superconformal index, this allows the Weyl
anomaly coefficient $a$ to be reinterpreted in terms of the representation
theory of the associated vertex operator algebra. We illustrate these ideas in
a number of examples including a series of rank-one theories associated with
the "Deligne-Cvitanovi\'c exceptional series" of simple Lie algebras, several
families of Argyres-Douglas theories, an assortment of class ${\cal S}$
theories, and ${\cal N}=4$ super Yang-Mills with $\mathfrak{su}(n)$ gauge group
for small-to-moderate values of $n$.
|
[
{
"created": "Mon, 24 Jul 2017 18:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jun 2018 15:09:51 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Jul 2019 16:36:10 GMT",
"version": "v3"
},
{
"created": "Fri, 12 Jun 2020 10:18:08 GMT",
"version": "v4"
}
] |
2020-06-15
|
[
[
"Beem",
"Christopher",
""
],
[
"Rastelli",
"Leonardo",
""
]
] |
Every four-dimensional ${\cal N}=2$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra. The relationships between this invariant and more conventional protected quantities in the same theories have yet to be completely understood. In this work, we aim to characterize the connection between the Higgs branch of the moduli space of vacua (as an algebraic geometric entity) and the associated vertex operator algebra. Ultimately our proposal is simple, but its correctness requires the existence of a number of nontrivial null vectors in the vacuum Verma module of the vertex operator algebra. Of particular interest is one such null vector whose presence suggests that the Schur index of any ${\cal N}=2$ SCFT should obey a finite order modular differential equation. By way of the "high temperature" limit of the superconformal index, this allows the Weyl anomaly coefficient $a$ to be reinterpreted in terms of the representation theory of the associated vertex operator algebra. We illustrate these ideas in a number of examples including a series of rank-one theories associated with the "Deligne-Cvitanovi\'c exceptional series" of simple Lie algebras, several families of Argyres-Douglas theories, an assortment of class ${\cal S}$ theories, and ${\cal N}=4$ super Yang-Mills with $\mathfrak{su}(n)$ gauge group for small-to-moderate values of $n$.
|
hep-th/9201060
| null |
J.M. Lina and P.K. Panigrahi
|
Lax Pair Formulation of the W-gravity Theories in two Dimensions
|
26 pages
|
Int.J.Mod.Phys. A7 (1992) 6907-6932
| null | null |
hep-th
| null |
The Lax pair formulation of the two dimensional induced gravity in the
light-cone gauge is extended to the more general $w_N$ theories. After
presenting the $w_2$ and $w_3$ gravities, we give a general prescription for an
arbitrary $w_N$ case. This is further illustrated with the $w_4$ gravity to
point out some peculiarities. The constraints and the possible presence of the
cosmological constants are systematically exhibited in the zero-curvature
condition, which also yields the relevant Ward identities. The restrictions on
the gauge parameters in presence of the constraints are also pointed out and
are contrasted with those of the ordinary 2d-gravity.
|
[
{
"created": "Tue, 28 Jan 1992 19:12:50 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Lina",
"J. M.",
""
],
[
"Panigrahi",
"P. K.",
""
]
] |
The Lax pair formulation of the two dimensional induced gravity in the light-cone gauge is extended to the more general $w_N$ theories. After presenting the $w_2$ and $w_3$ gravities, we give a general prescription for an arbitrary $w_N$ case. This is further illustrated with the $w_4$ gravity to point out some peculiarities. The constraints and the possible presence of the cosmological constants are systematically exhibited in the zero-curvature condition, which also yields the relevant Ward identities. The restrictions on the gauge parameters in presence of the constraints are also pointed out and are contrasted with those of the ordinary 2d-gravity.
|
1901.01068
|
Hemily Gomes Marciano Fortes
|
H. G. M. Fortes, D. Dalmazi
|
Note on massless and partially massless spin-2 particles in a curved
background via a nonsymmetric tensor
| null |
Phys. Rev. D 99, 025013 (2019)
|
10.1103/PhysRevD.99.025013
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the last few years we have seen an increase interest on gravitational
waves due to recent and striking experimental results confirming Einstein's
general relativity once more. From the field theory point of view, gravity
describes the propagation of self-interacting massless spin-2 particles. They
can be identified with metric perturbations about a given background metric.
Since the metric is a symmetric tensor, the massless spin-2 particles present
in the Einstein-Hilbert (massless Fierz-Pauli) theory are naturally described
by a symmetric rank-2 tensor. However, this is not the only possible consistent
massless spin-2 theory at linearized level. In particular, if we add a mass
term, a new one parameter $(a_1)$ family of models ${\cal L}(a_1)$ shows up.
They consistently describe massive spin-2 particles about Einstein spaces in
terms of a non-symmetric rank-2 tensor. Here we investigate the massless
version of ${\cal L}(a_1)$ in a curved background. In the case $a_1=-1/12$ we
show that the massless spin-2 particles consistently propagate, at linearized
level, in maximally symmetric spaces. A similar result is obtained otherwise
$(a_1 \ne -1/12)$ where we have a non-symmetric scalar-tensor massless model.
The case of partially massless non-symmetric models is also investigated.
|
[
{
"created": "Fri, 4 Jan 2019 11:54:59 GMT",
"version": "v1"
}
] |
2019-02-06
|
[
[
"Fortes",
"H. G. M.",
""
],
[
"Dalmazi",
"D.",
""
]
] |
In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the propagation of self-interacting massless spin-2 particles. They can be identified with metric perturbations about a given background metric. Since the metric is a symmetric tensor, the massless spin-2 particles present in the Einstein-Hilbert (massless Fierz-Pauli) theory are naturally described by a symmetric rank-2 tensor. However, this is not the only possible consistent massless spin-2 theory at linearized level. In particular, if we add a mass term, a new one parameter $(a_1)$ family of models ${\cal L}(a_1)$ shows up. They consistently describe massive spin-2 particles about Einstein spaces in terms of a non-symmetric rank-2 tensor. Here we investigate the massless version of ${\cal L}(a_1)$ in a curved background. In the case $a_1=-1/12$ we show that the massless spin-2 particles consistently propagate, at linearized level, in maximally symmetric spaces. A similar result is obtained otherwise $(a_1 \ne -1/12)$ where we have a non-symmetric scalar-tensor massless model. The case of partially massless non-symmetric models is also investigated.
|
2305.10027
|
Shanmuka Shivashankara
|
Shanmuka Shivashankara
|
Entanglement Entropy of Compton Scattering with a Witness
|
24 pages, 5 figures
|
Can.J.Phys. 101 (2023) 757-766
|
10.1139/cjp-2023-0142
| null |
hep-th quant-ph
|
http://creativecommons.org/licenses/by-nc-nd/4.0/
|
Unitarity and the optical theorem are used to derive the reduced density
matrices of Compton scattering in the presence of a witness particle. Two
photons are initially entangled wherein one photon participates in Compton
scattering while the other is a witness, i.e. does not interact with the
electron. Unitarity is shown to require that the entanglement entropy of the
witness photon does not change after its entangled partner undergoes
scattering. The final mutual information of the electronic and witness
particle's polarization is nonzero for low energy Compton scattering. This
indicates that the two particles become correlated in spite of no direct
interaction. Assuming an initial maximally entangled state, the change in
entanglement entropy of the scattered photon's polarization is calculated in
terms of Stokes parameters. A common ratio of areas occurs in the final reduced
density matrix elements, von Neumann entropies, Stokes parameter, and mutual
information. This common ratio consists of the Thomson scattering cross-section
and an accessible regularized scattering area.
|
[
{
"created": "Wed, 17 May 2023 08:14:06 GMT",
"version": "v1"
}
] |
2023-12-05
|
[
[
"Shivashankara",
"Shanmuka",
""
]
] |
Unitarity and the optical theorem are used to derive the reduced density matrices of Compton scattering in the presence of a witness particle. Two photons are initially entangled wherein one photon participates in Compton scattering while the other is a witness, i.e. does not interact with the electron. Unitarity is shown to require that the entanglement entropy of the witness photon does not change after its entangled partner undergoes scattering. The final mutual information of the electronic and witness particle's polarization is nonzero for low energy Compton scattering. This indicates that the two particles become correlated in spite of no direct interaction. Assuming an initial maximally entangled state, the change in entanglement entropy of the scattered photon's polarization is calculated in terms of Stokes parameters. A common ratio of areas occurs in the final reduced density matrix elements, von Neumann entropies, Stokes parameter, and mutual information. This common ratio consists of the Thomson scattering cross-section and an accessible regularized scattering area.
|
1807.11900
|
Fabrizio Nieri
|
Fabrizio Nieri, Yiwen Pan, Maxim Zabzine
|
Bootstrapping the $S^5$ partition function
|
15 pages; note prepared for Proceedings of the XXth International
Seminar "Quarks-2018"
|
EPJ Web of Conferences, Volume 191 (2018) 06005, XXth
International Seminar on High Energy Physics (QUARKS-2018)
|
10.1051/epjconf/201819106005
|
UUITP-33/18
|
hep-th math.QA
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider $U(N)$ SQCD on $S^5$ and propose a Higgs branch-like expression
for its partition function. We support the result by arguing that the knowledge
of certain BPS codimension 2 and 4 defects arising from Higgsing is enough to
reconstruct the bulk partition function, and that the defect partition
functions satisfy a set of non-perturbative Schwinger-Dyson equations. We show
that the result is consistent with, and naturally come from, the BPS/CFT
perspective. In this language, the defect partition functions are identified
with free boson correlators of the $q$-Virasoro modular triple, and the
constraint equations with Ward identities satisfied by the corresponding
Dotsenko-Fateev $q$-conformal blocks, providing a natural basis to expand the
$S^5$ partition function.
|
[
{
"created": "Tue, 31 Jul 2018 16:23:31 GMT",
"version": "v1"
}
] |
2018-11-08
|
[
[
"Nieri",
"Fabrizio",
""
],
[
"Pan",
"Yiwen",
""
],
[
"Zabzine",
"Maxim",
""
]
] |
We consider $U(N)$ SQCD on $S^5$ and propose a Higgs branch-like expression for its partition function. We support the result by arguing that the knowledge of certain BPS codimension 2 and 4 defects arising from Higgsing is enough to reconstruct the bulk partition function, and that the defect partition functions satisfy a set of non-perturbative Schwinger-Dyson equations. We show that the result is consistent with, and naturally come from, the BPS/CFT perspective. In this language, the defect partition functions are identified with free boson correlators of the $q$-Virasoro modular triple, and the constraint equations with Ward identities satisfied by the corresponding Dotsenko-Fateev $q$-conformal blocks, providing a natural basis to expand the $S^5$ partition function.
|
1410.7533
|
Silviu-Constantin Sararu
|
S. C. Sararu
|
A first-class approach of higher derivative Maxwell-Chern-Simons Proca
model
|
27 pages, version submitted to EPJC
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The equivalence between a higher derivative extension of Maxwell-Chern-Simons
Proca model and some gauge invariant theories from the point of view of the
Hamiltonian path integral quantization in the framework of gauge-unfixing
approach is investigated. The Hamiltonian path integrals of the first-class
systems take manifestly Lorentz-covariant forms.
|
[
{
"created": "Tue, 28 Oct 2014 07:00:42 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Nov 2014 11:41:16 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Nov 2014 14:49:23 GMT",
"version": "v3"
},
{
"created": "Thu, 8 Oct 2015 11:14:16 GMT",
"version": "v4"
}
] |
2015-10-09
|
[
[
"Sararu",
"S. C.",
""
]
] |
The equivalence between a higher derivative extension of Maxwell-Chern-Simons Proca model and some gauge invariant theories from the point of view of the Hamiltonian path integral quantization in the framework of gauge-unfixing approach is investigated. The Hamiltonian path integrals of the first-class systems take manifestly Lorentz-covariant forms.
|
2204.05202
|
Jason Kristiano
|
Jason Kristiano and Jun'ichi Yokoyama
|
Perturbative region on non-Gaussian parameter space in single-field
inflation
|
v2: smooth exact scale-invariant limit is shown
|
JCAP 07 (2022) 007
|
10.1088/1475-7516/2022/07/007
|
RESCEU-8/22
|
hep-th astro-ph.CO
|
http://creativecommons.org/licenses/by/4.0/
|
We calculate one-loop correction to the two-point functions of curvature
perturbation in single-field inflation generated by cubic self-interaction.
Incorporating the observed red-tilted spectrum of curvature perturbation, the
relevant one-loop correction takes a finite value and inversely proportional to
the spectral tilt. Requiring one-loop correction to be much smaller than the
tree-level contribution leads to an upper bound on primordial non-Gaussianity.
While observationally allowed region of non-Gaussian parameter space is found
to be entirely included by the region, where one-loop correction is smaller
than the tree-level contribution, an appreciably large region has one-loop
correction larger than 1% or even 10% of the latter. If future observations
conclude non-Gaussianity falls in such a region, then it would be important to
incorporate higher-order corrections to the spectrum in order to achieve
precise cosmology. In some extreme cases, where one-loop correction has a
comparable magnitude to the tree-level contribution, it might indicate
breakdown of the cosmological perturbation theory in the context of
single-field inflation.
|
[
{
"created": "Mon, 11 Apr 2022 15:44:52 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Jul 2022 16:51:28 GMT",
"version": "v2"
}
] |
2022-07-05
|
[
[
"Kristiano",
"Jason",
""
],
[
"Yokoyama",
"Jun'ichi",
""
]
] |
We calculate one-loop correction to the two-point functions of curvature perturbation in single-field inflation generated by cubic self-interaction. Incorporating the observed red-tilted spectrum of curvature perturbation, the relevant one-loop correction takes a finite value and inversely proportional to the spectral tilt. Requiring one-loop correction to be much smaller than the tree-level contribution leads to an upper bound on primordial non-Gaussianity. While observationally allowed region of non-Gaussian parameter space is found to be entirely included by the region, where one-loop correction is smaller than the tree-level contribution, an appreciably large region has one-loop correction larger than 1% or even 10% of the latter. If future observations conclude non-Gaussianity falls in such a region, then it would be important to incorporate higher-order corrections to the spectrum in order to achieve precise cosmology. In some extreme cases, where one-loop correction has a comparable magnitude to the tree-level contribution, it might indicate breakdown of the cosmological perturbation theory in the context of single-field inflation.
|
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