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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1308.3716
|
Mark Van Raamsdonk
|
Nima Lashkari, Michael B. McDermott, Mark Van Raamsdonk
|
Gravitational Dynamics From Entanglement "Thermodynamics"
|
v2: references added, problematic section on Radon transform removed
|
JHEP 1404 (2014) 195
|
10.1007/JHEP04(2014)195
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a general conformal field theory, perturbations to the vacuum state obey
the relation \delta S = \delta E, where \delta S is the change in entanglement
entropy of an arbitrary ball-shaped region, and \delta E is the change in
"hyperbolic" energy of this region. In this note, we show that for holographic
conformal field theories, this relation, together with the holographic
connection between entanglement entropies and areas of extremal surfaces and
the standard connection between the field theory stress tensor and the boundary
behavior of the metric, implies that geometry dual to the perturbed state
satisfies Einstein's equations expanded to linear order about pure AdS.
|
[
{
"created": "Fri, 16 Aug 2013 20:42:52 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2013 19:49:19 GMT",
"version": "v2"
}
] |
2014-05-08
|
[
[
"Lashkari",
"Nima",
""
],
[
"McDermott",
"Michael B.",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] |
In a general conformal field theory, perturbations to the vacuum state obey the relation \delta S = \delta E, where \delta S is the change in entanglement entropy of an arbitrary ball-shaped region, and \delta E is the change in "hyperbolic" energy of this region. In this note, we show that for holographic conformal field theories, this relation, together with the holographic connection between entanglement entropies and areas of extremal surfaces and the standard connection between the field theory stress tensor and the boundary behavior of the metric, implies that geometry dual to the perturbed state satisfies Einstein's equations expanded to linear order about pure AdS.
|
hep-th/9706223
|
Joao Nunes
|
A. Jevicki, M. Mihailescu and J. P. Nunes
|
Large N WZW Field Theory Of N=2 Strings
|
This is the final version. By editorial mistake at Phys.Lett.B an
older version was published in print
|
Phys.Lett. B416 (1998) 334-340
|
10.1016/S0370-2693(97)01251-3
|
BROWN-HET-1051
|
hep-th
| null |
We explore the quantum properties of self-dual gravity formulated as a large
$N$ two-dimensional WZW sigma model. Using a non-trivial classical background,
we show that a $(2,2)$ space-time is generated. The theory contains an infinite
series of higher point vertices. At tree level we show that, in spite of the
presence of higher than cubic vertices, the on-shell 4 and higher point
functions vanish, indicating that this model is related with the field theory
of closed N=2 strings. We examine the one-loop on-shell 3-point amplitude and
show that it is ultra-violet finite.
|
[
{
"created": "Mon, 30 Jun 1997 20:43:32 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jul 1997 19:35:13 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Jul 1997 20:07:47 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Nov 1997 19:13:46 GMT",
"version": "v4"
},
{
"created": "Tue, 24 Feb 1998 22:33:00 GMT",
"version": "v5"
}
] |
2009-10-30
|
[
[
"Jevicki",
"A.",
""
],
[
"Mihailescu",
"M.",
""
],
[
"Nunes",
"J. P.",
""
]
] |
We explore the quantum properties of self-dual gravity formulated as a large $N$ two-dimensional WZW sigma model. Using a non-trivial classical background, we show that a $(2,2)$ space-time is generated. The theory contains an infinite series of higher point vertices. At tree level we show that, in spite of the presence of higher than cubic vertices, the on-shell 4 and higher point functions vanish, indicating that this model is related with the field theory of closed N=2 strings. We examine the one-loop on-shell 3-point amplitude and show that it is ultra-violet finite.
|
hep-th/9401143
|
Kownacki
|
J.-P. Kownacki and A. Krzywicki
|
Grand-Canonical Ensemble of Random Surfaces with Four Species of Ising
Spins
|
LaTeX, 11 pages + 1 postscript figure appended, preprint LPTHE-Orsay
94/11
|
Phys.Rev. D50 (1994) 5329-5332
|
10.1103/PhysRevD.50.5329
| null |
hep-th
| null |
The grand-canonical ensemble of dynamically triangulated surfaces coupled to
four species of Ising spins (c=2) is simulated on a computer. The effective
string susceptibility exponent for lattices with up to 1000 vertices is found
to be $\gamma = - 0.195(58)$. A specific scenario for $c > 1$ models is
conjectured.
|
[
{
"created": "Fri, 28 Jan 1994 10:38:52 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Kownacki",
"J. -P.",
""
],
[
"Krzywicki",
"A.",
""
]
] |
The grand-canonical ensemble of dynamically triangulated surfaces coupled to four species of Ising spins (c=2) is simulated on a computer. The effective string susceptibility exponent for lattices with up to 1000 vertices is found to be $\gamma = - 0.195(58)$. A specific scenario for $c > 1$ models is conjectured.
|
1708.08642
|
Marcos Marino
|
Alba Grassi, Marcos Marino
|
The complex side of the TS/ST correspondence
|
22 pages, 2 figures
| null | null | null |
hep-th math-ph math.AG math.MP math.SP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The TS/ST correspondence relates the spectral theory of certain quantum
mechanical operators, to topological strings on toric Calabi-Yau threefolds. So
far the correspondence has been formulated for real values of Planck's
constant. In this paper we start to explore the validity of the correspondence
when $\hbar$ takes complex values. We give evidence that, for threefolds
associated to supersymmetric gauge theories, one can extend the correspondence
and obtain exact quantization conditions for the operators. We also explore the
correspondence for operators involving periodic potentials. In particular, we
study a deformed version of the Mathieu equation, and we solve for its band
structure in terms of the quantum mirror map of the underlying threefold.
|
[
{
"created": "Tue, 29 Aug 2017 08:46:02 GMT",
"version": "v1"
}
] |
2017-08-30
|
[
[
"Grassi",
"Alba",
""
],
[
"Marino",
"Marcos",
""
]
] |
The TS/ST correspondence relates the spectral theory of certain quantum mechanical operators, to topological strings on toric Calabi-Yau threefolds. So far the correspondence has been formulated for real values of Planck's constant. In this paper we start to explore the validity of the correspondence when $\hbar$ takes complex values. We give evidence that, for threefolds associated to supersymmetric gauge theories, one can extend the correspondence and obtain exact quantization conditions for the operators. We also explore the correspondence for operators involving periodic potentials. In particular, we study a deformed version of the Mathieu equation, and we solve for its band structure in terms of the quantum mirror map of the underlying threefold.
|
hep-th/9207005
| null |
J. Isberg, U. Lindstr\"om and B. Sundborg
|
Space-Time Symmetries of Quantized Tensionless Strings
|
15pp, plain latex, USITP-92-4
|
Phys.Lett. B293 (1992) 321-326
|
10.1016/0370-2693(92)90890-G
| null |
hep-th
| null |
The tensionless limit of the free bosonic string is space-time conformally
symmetric classically. Requiring invariance of the quantum theory in the light
cone gauge tests the reparametrization symmetry needed to fix this gauge. The
full conformal symmetry gives stronger constraints than the Poincar\'e
subalgebra. We find that the symmetry may be preserved in any space-time
dimension, but only if the spectrum is drastically reduced (part of this
reduction is natural in a zero tension limit of the ordinary string spectrum).
The quantum states are required to be symmetric ({\it i.e.} singlets) under
space-time diffeomorphisms, except for the centre of mass wave function.
|
[
{
"created": "Thu, 2 Jul 1992 12:01:00 GMT",
"version": "v1"
}
] |
2016-08-14
|
[
[
"Isberg",
"J.",
""
],
[
"Lindström",
"U.",
""
],
[
"Sundborg",
"B.",
""
]
] |
The tensionless limit of the free bosonic string is space-time conformally symmetric classically. Requiring invariance of the quantum theory in the light cone gauge tests the reparametrization symmetry needed to fix this gauge. The full conformal symmetry gives stronger constraints than the Poincar\'e subalgebra. We find that the symmetry may be preserved in any space-time dimension, but only if the spectrum is drastically reduced (part of this reduction is natural in a zero tension limit of the ordinary string spectrum). The quantum states are required to be symmetric ({\it i.e.} singlets) under space-time diffeomorphisms, except for the centre of mass wave function.
|
hep-th/0302052
|
Lisa Dyson
|
Lisa Dyson
|
Chronology Protection in String Theory
|
17 pages. References added, typos corrected
|
JHEP0403:024,2004
|
10.1088/1126-6708/2004/03/024
| null |
hep-th gr-qc
| null |
Many solutions of General Relativity appear to allow the possibility of time
travel. This was initially a fascinating discovery, but geometries of this type
violate causality, a basic physical law which is believed to be fundamental.
Although string theory is a proposed fundamental theory of quantum gravity,
geometries with closed timelike curves have resurfaced as solutions to its low
energy equations of motion. In this paper, we will study the class of solutions
to low energy effective supergravity theories related to the BMPV black hole
and the rotating Wave--D1--D5--brane system. Time travel appears to be possible
in these geometries. We will attempt to build the causality violating regions
and propose that stringy effects prohibit their construction. We will show how
the geometry is corrected and that, once corrected, causality is preserved. We
will track our chronology protection proposal in the dual conformal field
theory. The absence of closed timelike curves in the geometry coincides with
the preservation of unitarity in the conformal field theory. The agent of
chronology protection for the geometries studied here mirrors the enhancon
mechanism, a mechanism string theory employs to resolve a class of naked
singularities.
|
[
{
"created": "Mon, 10 Feb 2003 20:27:39 GMT",
"version": "v1"
},
{
"created": "Fri, 16 May 2003 19:13:09 GMT",
"version": "v2"
},
{
"created": "Mon, 23 Jun 2003 19:58:56 GMT",
"version": "v3"
},
{
"created": "Tue, 24 Jun 2003 02:38:12 GMT",
"version": "v4"
},
{
"created": "Sat, 16 Aug 2003 01:53:35 GMT",
"version": "v5"
}
] |
2009-11-10
|
[
[
"Dyson",
"Lisa",
""
]
] |
Many solutions of General Relativity appear to allow the possibility of time travel. This was initially a fascinating discovery, but geometries of this type violate causality, a basic physical law which is believed to be fundamental. Although string theory is a proposed fundamental theory of quantum gravity, geometries with closed timelike curves have resurfaced as solutions to its low energy equations of motion. In this paper, we will study the class of solutions to low energy effective supergravity theories related to the BMPV black hole and the rotating Wave--D1--D5--brane system. Time travel appears to be possible in these geometries. We will attempt to build the causality violating regions and propose that stringy effects prohibit their construction. We will show how the geometry is corrected and that, once corrected, causality is preserved. We will track our chronology protection proposal in the dual conformal field theory. The absence of closed timelike curves in the geometry coincides with the preservation of unitarity in the conformal field theory. The agent of chronology protection for the geometries studied here mirrors the enhancon mechanism, a mechanism string theory employs to resolve a class of naked singularities.
|
1006.1238
|
Timothy J. Hollowood
|
Timothy J. Hollowood and Graham M. Shore
|
`Superluminal' Photon Propagation in QED in Curved Spacetime is
Dispersive and Causal
|
11 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is now well-known that vacuum polarisation in QED can lead to superluminal
low-frequency phase velocities for photons propagating in curved spacetimes. In
a series of papers, we have shown that this quantum phenomenon is dispersive
and have calculated the full frequency dependence of the refractive index,
explaining in detail how causality is preserved and various familiar results
from quantum field theory such as the Kramers-Kronig dispersion relation and
the optical theorem are realised in curved spacetime. These results have been
criticised in a recent paper by Akhoury and Dolgov arXiv:1003.6110 [hep-th],
who assert that photon propagation is neither dispersive nor necessarily
causal. In this note, we point out a series of errors in their work which have
led to this false conclusion.
|
[
{
"created": "Mon, 7 Jun 2010 11:50:23 GMT",
"version": "v1"
}
] |
2010-06-08
|
[
[
"Hollowood",
"Timothy J.",
""
],
[
"Shore",
"Graham M.",
""
]
] |
It is now well-known that vacuum polarisation in QED can lead to superluminal low-frequency phase velocities for photons propagating in curved spacetimes. In a series of papers, we have shown that this quantum phenomenon is dispersive and have calculated the full frequency dependence of the refractive index, explaining in detail how causality is preserved and various familiar results from quantum field theory such as the Kramers-Kronig dispersion relation and the optical theorem are realised in curved spacetime. These results have been criticised in a recent paper by Akhoury and Dolgov arXiv:1003.6110 [hep-th], who assert that photon propagation is neither dispersive nor necessarily causal. In this note, we point out a series of errors in their work which have led to this false conclusion.
|
hep-th/9605181
| null |
Carl M. Bender and Luis M. A. Bettencourt
|
Multiple-Scale Analysis of the Quantum Anharmonic Oscillator
|
12 pages, Revtex, no figures, available through anonymous ftp from
ftp://euclid.tp.ph.ic.ac.uk/papers/ or on WWW at
http://euclid.tp.ph.ic.ac.uk/Papers/papers_95-6_.html
|
Phys.Rev.Lett. 77 (1996) 4114-4117
|
10.1103/PhysRevLett.77.4114
|
Imperial/TP/94-95/33
|
hep-th hep-ph quant-ph
| null |
Conventional weak-coupling perturbation theory suffers from problems that
arise from resonant coupling of successive orders in the perturbation series.
Multiple-scale perturbation theory avoids such problems by implicitly
performing an infinite reordering and resummation of the conventional
perturbation series. Multiple-scale analysis provides a good description of the
classical anharmonic oscillator. Here, it is extended to study the Heisenberg
operator equations of motion for the quantum anharmonic oscillator. The
analysis yields a system of nonlinear operator differential equations, which is
solved exactly. The solution provides an operator mass renormalization of the
theory.
|
[
{
"created": "Fri, 24 May 1996 14:07:45 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Bender",
"Carl M.",
""
],
[
"Bettencourt",
"Luis M. A.",
""
]
] |
Conventional weak-coupling perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale perturbation theory avoids such problems by implicitly performing an infinite reordering and resummation of the conventional perturbation series. Multiple-scale analysis provides a good description of the classical anharmonic oscillator. Here, it is extended to study the Heisenberg operator equations of motion for the quantum anharmonic oscillator. The analysis yields a system of nonlinear operator differential equations, which is solved exactly. The solution provides an operator mass renormalization of the theory.
|
2303.13758
|
Gansukh Tumurtushaa
|
Kyung Kiu Kim, Seoktae Koh, and Gansukh Tumurtushaa
|
Dynamical Compactification with Matter
|
Matches the published version in JHEP: 26 pages, 5 figures, and 3
tables
| null |
10.1007/JHEP06(2023)181
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
In this work, we study cosmological solutions of the 8-dimensional Einstein
Yang-Mills theory coupled to a perfect-fluid matter. A Yang-Mills instanton of
extra dimensions causes a 4-dimensional expanding universe with dynamical
compactification of the extra dimensions. To construct physically reliable
situations, we impose the null energy condition on the matter. This energy
condition is affected by the extra dimensions. Then, we consider cosmological
constant to grasp the structure of the solution space. Even in this simple
case, we find several interesting solutions, such as bouncing universes and
oscillatory solutions, eventually arriving at a de Sitter universe with
stabilized compact dimensions. In addition, we consider a class of matters
whose energy density depends on the volume of the extra dimensions. This case
shows another set of bouncing universes. Also, a real scalar with potential is
taken into account. The scalar field model admits de Sitter solutions due to
the choice of potential, and we demonstrate how potentials can be constructed
using flow equations. {\color{black}Thus, what we discuss in this work is based
on the 8-dimensional Einstein frame, which corresponds to the 4-dimensional
Jordan frame by dimensional reduction. Consequently, the results are derived in
the 4-dimensional Jordan frame, not in the 4-dimensional Einstein frame.
|
[
{
"created": "Fri, 24 Mar 2023 02:14:45 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Aug 2023 01:36:09 GMT",
"version": "v2"
}
] |
2023-08-28
|
[
[
"Kim",
"Kyung Kiu",
""
],
[
"Koh",
"Seoktae",
""
],
[
"Tumurtushaa",
"Gansukh",
""
]
] |
In this work, we study cosmological solutions of the 8-dimensional Einstein Yang-Mills theory coupled to a perfect-fluid matter. A Yang-Mills instanton of extra dimensions causes a 4-dimensional expanding universe with dynamical compactification of the extra dimensions. To construct physically reliable situations, we impose the null energy condition on the matter. This energy condition is affected by the extra dimensions. Then, we consider cosmological constant to grasp the structure of the solution space. Even in this simple case, we find several interesting solutions, such as bouncing universes and oscillatory solutions, eventually arriving at a de Sitter universe with stabilized compact dimensions. In addition, we consider a class of matters whose energy density depends on the volume of the extra dimensions. This case shows another set of bouncing universes. Also, a real scalar with potential is taken into account. The scalar field model admits de Sitter solutions due to the choice of potential, and we demonstrate how potentials can be constructed using flow equations. {\color{black}Thus, what we discuss in this work is based on the 8-dimensional Einstein frame, which corresponds to the 4-dimensional Jordan frame by dimensional reduction. Consequently, the results are derived in the 4-dimensional Jordan frame, not in the 4-dimensional Einstein frame.
|
2405.05304
|
Guillaume Payeur
|
Guillaume Payeur, Evan McDonough, Robert Brandenberger
|
Swampland Conjectures Constraints on Dark Energy from a Highly Curved
Field Space
|
12 pages, 3 figures
| null | null | null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the interplay of the trans-Planckian censorship conjecture (TCC) and
the swampland distance conjecture (SDC) in the context of multifield dark
energy in a curved field space. In this scenario, the phase of accelerated
expansion is realized as non-geodesic motion in a highly-curved field space,
reminiscent of models developed in the context of inflation. The model features
a stable attractor solution with near constant equation of state $w\simeq -1$,
and predicts that the current era of accelerated expansion is eternal. The
latter implies an eventual conflict with the TCC, which holds that the duration
of any epoch of cosmic acceleration is bounded by the requirement that the
large-scale observable universe is blind to Planck-scale early universe
physics. This tension can be resolved by an interplay with the distance
conjecture: for suitable parameter values, the apparent violation of the TCC
occurs well after the fields have traversed a Planckian distance. The SDC then
predicts a breakdown of the effective field theory (EFT) before the TCC can be
violated. We derive the constraints on the model arising from the SDC+TCC and
the de Sitter conjecture. We demonstrate that the model can be consistent with
both swampland conjectures and observational data from Planck 2018 and the Dark
Energy Spectroscopic Instrument.
|
[
{
"created": "Wed, 8 May 2024 18:00:00 GMT",
"version": "v1"
}
] |
2024-05-10
|
[
[
"Payeur",
"Guillaume",
""
],
[
"McDonough",
"Evan",
""
],
[
"Brandenberger",
"Robert",
""
]
] |
We study the interplay of the trans-Planckian censorship conjecture (TCC) and the swampland distance conjecture (SDC) in the context of multifield dark energy in a curved field space. In this scenario, the phase of accelerated expansion is realized as non-geodesic motion in a highly-curved field space, reminiscent of models developed in the context of inflation. The model features a stable attractor solution with near constant equation of state $w\simeq -1$, and predicts that the current era of accelerated expansion is eternal. The latter implies an eventual conflict with the TCC, which holds that the duration of any epoch of cosmic acceleration is bounded by the requirement that the large-scale observable universe is blind to Planck-scale early universe physics. This tension can be resolved by an interplay with the distance conjecture: for suitable parameter values, the apparent violation of the TCC occurs well after the fields have traversed a Planckian distance. The SDC then predicts a breakdown of the effective field theory (EFT) before the TCC can be violated. We derive the constraints on the model arising from the SDC+TCC and the de Sitter conjecture. We demonstrate that the model can be consistent with both swampland conjectures and observational data from Planck 2018 and the Dark Energy Spectroscopic Instrument.
|
hep-th/9707201
|
Patrizia Vitale
|
G. Bimonte, R. Musto, A. Stern and P. Vitale
|
New Tetrads for General Relativity
|
Latex file, 14 pages, no figures. Major changes in text. Contribution
to the proceedings of the conference "Quantum Groups, Deformations and
Contractions" Istanbul 1997, to be published in Turkish Journal of Physics.
Title changed in journal to "The Quantum Poincare' Group as Hidden Symmetry
of General Relativity"
| null | null |
UAHEP 9712, DSF-34/97
|
hep-th gr-qc math.QA q-alg
| null |
Using the tools of q--differential calculus and quantum Lie algebras
associated to quantum groups, we find a one--parameter family of q-gauge
theories associated to the quantum group $ISO_q(3,1)$. Although the gauge
fields, that is the spin--connection and the vierbeins are non--commuting
objects depending on a deformation parameter, $q$, it is possible to construct
out of them a metric theory which is insensitive to the deformation. The
Christoffel symbols and the Riemann tensor are ordinary commuting objects.
Hence it is argued that torsionless Einstein's General Relativity is the common
invariant sector of a one--parameter family of deformed gauge theories.
|
[
{
"created": "Thu, 24 Jul 1997 13:25:12 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Apr 1998 15:33:27 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Bimonte",
"G.",
""
],
[
"Musto",
"R.",
""
],
[
"Stern",
"A.",
""
],
[
"Vitale",
"P.",
""
]
] |
Using the tools of q--differential calculus and quantum Lie algebras associated to quantum groups, we find a one--parameter family of q-gauge theories associated to the quantum group $ISO_q(3,1)$. Although the gauge fields, that is the spin--connection and the vierbeins are non--commuting objects depending on a deformation parameter, $q$, it is possible to construct out of them a metric theory which is insensitive to the deformation. The Christoffel symbols and the Riemann tensor are ordinary commuting objects. Hence it is argued that torsionless Einstein's General Relativity is the common invariant sector of a one--parameter family of deformed gauge theories.
|
hep-th/9905099
|
Gary Horowitz
|
James Bardeen and Gary T. Horowitz
|
The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
|
21 pages
|
Phys. Rev. D 60, 104030 (1999)
|
10.1103/PhysRevD.60.104030
| null |
hep-th gr-qc
| null |
We study the near horizon limit of a four dimensional extreme rotating black
hole. The limiting metric is a completely nonsingular vacuum solution, with an
enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of
this solution are similar to the AdS_2 x S^2 geometry arising in the near
horizon limit of extreme charged black holes. In particular, the boundary at
infinity is a timelike surface. This suggests the possibility of a dual quantum
mechanical description. A five dimensional generalization is also discussed.
|
[
{
"created": "Thu, 13 May 1999 23:45:42 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Bardeen",
"James",
""
],
[
"Horowitz",
"Gary T.",
""
]
] |
We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this solution are similar to the AdS_2 x S^2 geometry arising in the near horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five dimensional generalization is also discussed.
|
1104.0461
|
Lorenzo Ubaldi
|
Michael Dine, Guido Festuccia, Lawrence Pack, Chang-Soon Park, Lorenzo
Ubaldi, Weitao Wu
|
Supersymmetric QCD: Exact Results and Strong Coupling
|
28 pages, two references added, one typo corrected
| null |
10.1007/JHEP05(2011)061
|
SCIPP 11/03
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit two longstanding puzzles in supersymmetric gauge theories. The
first concerns the question of the holomorphy of the coupling, and related to
this the possible definition of an exact (NSVZ) beta function. The second
concerns instantons in pure gluodynamics, which appear to give sensible, exact
results for certain correlation functions, which nonetheless differ from those
obtained using systematic weak coupling expansions. For the first question, we
extend an earlier proposal of Arkani-Hamed and Murayama, showing that if their
regulated action is written suitably, the holomorphy of the couplings is
manifest, and it is easy to determine the renormalization scheme for which the
NSVZ formula holds. This scheme, however, is seen to be one of an infinite
class of schemes, each leading to an exact beta function; the NSVZ scheme,
while simple, is not selected by any compelling physical consideration. For the
second question, we explain why the instanton computation in the pure
supersymmetric gauge theory is not reliable, even at short distances. The
semiclassical expansion about the instanton is purely formal; if infrared
divergences appear, they spoil arguments based on holomorphy. We demonstrate
that infrared divergences do not occur in the perturbation expansion about the
instanton, but explain that there is no reason to think this captures all
contributions from the sector with unit topological charge. That one expects
additional contributions is illustrated by dilute gas corrections. These are
infrared divergent, and so difficult to define, but if non-zero give order one,
holomorphic, corrections to the leading result. Exploiting an earlier analysis
of Davies et al, we demonstrate that in the theory compactified on a circle of
radius beta, due to infrared effects, finite contributions indeed arise which
are not visible in the formal limit that beta goes to infinity.
|
[
{
"created": "Mon, 4 Apr 2011 04:15:13 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Apr 2011 00:36:28 GMT",
"version": "v2"
}
] |
2015-05-27
|
[
[
"Dine",
"Michael",
""
],
[
"Festuccia",
"Guido",
""
],
[
"Pack",
"Lawrence",
""
],
[
"Park",
"Chang-Soon",
""
],
[
"Ubaldi",
"Lorenzo",
""
],
[
"Wu",
"Weitao",
""
]
] |
We revisit two longstanding puzzles in supersymmetric gauge theories. The first concerns the question of the holomorphy of the coupling, and related to this the possible definition of an exact (NSVZ) beta function. The second concerns instantons in pure gluodynamics, which appear to give sensible, exact results for certain correlation functions, which nonetheless differ from those obtained using systematic weak coupling expansions. For the first question, we extend an earlier proposal of Arkani-Hamed and Murayama, showing that if their regulated action is written suitably, the holomorphy of the couplings is manifest, and it is easy to determine the renormalization scheme for which the NSVZ formula holds. This scheme, however, is seen to be one of an infinite class of schemes, each leading to an exact beta function; the NSVZ scheme, while simple, is not selected by any compelling physical consideration. For the second question, we explain why the instanton computation in the pure supersymmetric gauge theory is not reliable, even at short distances. The semiclassical expansion about the instanton is purely formal; if infrared divergences appear, they spoil arguments based on holomorphy. We demonstrate that infrared divergences do not occur in the perturbation expansion about the instanton, but explain that there is no reason to think this captures all contributions from the sector with unit topological charge. That one expects additional contributions is illustrated by dilute gas corrections. These are infrared divergent, and so difficult to define, but if non-zero give order one, holomorphic, corrections to the leading result. Exploiting an earlier analysis of Davies et al, we demonstrate that in the theory compactified on a circle of radius beta, due to infrared effects, finite contributions indeed arise which are not visible in the formal limit that beta goes to infinity.
|
1512.00194
|
Bruno Loureiro
|
Antonio M. Garc\'ia-Garc\'ia and Bruno Loureiro
|
Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
|
22 pages + references, v2 corrected computation of the conductivity
at zero temp + minor typos
|
Phys. Rev. D 93, 065025 (2016)
|
10.1103/PhysRevD.93.065025
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study analytically the effect of a weak random chemical potential of zero
average in an Einstein-Maxwell background. For uncorrelated disorder this
perturbation is relevant however we show that it can become marginal or even
irrelevant by tuning disorder correlations. At zero temperature we find that,
to leading order in the disorder strength, the correction to the conductivity
for irrelevant perturbations vanishes. In the marginal case, in order to
renormalize a logarithmic divergence, we carry out a resummation of the
perturbative expansion of the metric that leads to a Lifshitz-like geometry in
the infrared. Disorder in this case also induces a positive correction to the
conductivity. At finite temperature the black hole acquires an effective charge
and the thermal conductivity has the expected Drude peak that signals the
breaking of translational invariance. However the electric conductivity is not
affected by the random chemical potential to leading order in the disorder
strength.
|
[
{
"created": "Tue, 1 Dec 2015 09:42:45 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Jan 2016 18:42:47 GMT",
"version": "v2"
}
] |
2016-03-11
|
[
[
"García-García",
"Antonio M.",
""
],
[
"Loureiro",
"Bruno",
""
]
] |
We study analytically the effect of a weak random chemical potential of zero average in an Einstein-Maxwell background. For uncorrelated disorder this perturbation is relevant however we show that it can become marginal or even irrelevant by tuning disorder correlations. At zero temperature we find that, to leading order in the disorder strength, the correction to the conductivity for irrelevant perturbations vanishes. In the marginal case, in order to renormalize a logarithmic divergence, we carry out a resummation of the perturbative expansion of the metric that leads to a Lifshitz-like geometry in the infrared. Disorder in this case also induces a positive correction to the conductivity. At finite temperature the black hole acquires an effective charge and the thermal conductivity has the expected Drude peak that signals the breaking of translational invariance. However the electric conductivity is not affected by the random chemical potential to leading order in the disorder strength.
|
hep-th/9307035
| null |
W.A. McGhee
|
The Topological Charges of the $a_n^{(1)}$ Affine Toda Solitons
|
24 pages, LaTeX, DTP-93-35
|
Int.J.Mod.Phys.A9:2645-2666,1994
|
10.1142/S0217751X94001060
| null |
hep-th
| null |
The topological charges of the \an affine Toda solitons are considered. A
general formula is presented for the number of charges associated with each
soliton, as well as an expression for the charges themselves. For each soliton
the charges are found to lie in the corresponding fundamental representation,
though in general these representations are not filled. Each soliton's
topological charges are invariant under cyclic permutations of the simple roots
plus the extended root or equivalently, under the action of the Coxeter element
(with a particular ordering). Multisolitons are considered and are found to
have topological charges filling the remainder of the fundamental
representations as well as the entire weight lattice. The article concludes
with a discussion of some of the other affine Toda theories.
|
[
{
"created": "Tue, 6 Jul 1993 16:23:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"McGhee",
"W. A.",
""
]
] |
The topological charges of the \an affine Toda solitons are considered. A general formula is presented for the number of charges associated with each soliton, as well as an expression for the charges themselves. For each soliton the charges are found to lie in the corresponding fundamental representation, though in general these representations are not filled. Each soliton's topological charges are invariant under cyclic permutations of the simple roots plus the extended root or equivalently, under the action of the Coxeter element (with a particular ordering). Multisolitons are considered and are found to have topological charges filling the remainder of the fundamental representations as well as the entire weight lattice. The article concludes with a discussion of some of the other affine Toda theories.
|
1908.09749
|
Shinya Tomizawa
|
Shinya Tomizawa, Takahisa Igata
|
Stable bound orbits around a supersymmetric black lens
|
10 pages, 3 figuers
|
Phys. Rev. D 100, 124031 (2019)
|
10.1103/PhysRevD.100.124031
|
RUP-19-22
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In higher-dimensional Schwarzschild black hole spacetimes, there are no
stable bound orbits of particles. In contrast to this, it is shown that there
are stable bound orbits in a five-dimensional black lens spacetime.
|
[
{
"created": "Mon, 26 Aug 2019 15:43:04 GMT",
"version": "v1"
}
] |
2019-12-18
|
[
[
"Tomizawa",
"Shinya",
""
],
[
"Igata",
"Takahisa",
""
]
] |
In higher-dimensional Schwarzschild black hole spacetimes, there are no stable bound orbits of particles. In contrast to this, it is shown that there are stable bound orbits in a five-dimensional black lens spacetime.
|
hep-th/9912087
|
Marco Peloso
|
G. Nardelli, M. Peloso
|
Zero Modes and Conformal Anomaly in Liouville Vortices
|
RevTex, 14 pages, no figures. To appear on Nucl. Phys. B
|
Nucl.Phys. B567 (2000) 583-601
|
10.1016/S0550-3213(99)00648-3
|
SISSA-146-99-EP
|
hep-th
| null |
The partition function of a two dimensional Abelian gauge model reproducing
magnetic vortices is discussed in the harmonic approximation. Classical
solutions exhibit conformal invariance, that is broken by statistical
fluctuations, apart from an exceptional case. The corresponding ``anomaly'' has
been evaluated. Zero modes of the thermal fluctuation operator have been
carefully discussed.
|
[
{
"created": "Fri, 10 Dec 1999 10:44:41 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Nardelli",
"G.",
""
],
[
"Peloso",
"M.",
""
]
] |
The partition function of a two dimensional Abelian gauge model reproducing magnetic vortices is discussed in the harmonic approximation. Classical solutions exhibit conformal invariance, that is broken by statistical fluctuations, apart from an exceptional case. The corresponding ``anomaly'' has been evaluated. Zero modes of the thermal fluctuation operator have been carefully discussed.
|
2401.16507
|
Leopoldo A. Pando Zayas
|
Sabyasachi Maulik, Leopoldo A. Pando Zayas, Augniva Ray and Jingchao
Zhang
|
Universality in Logarithmic Temperature Corrections to Near-Extremal
Rotating Black Hole Thermodynamics in Various Dimensions
|
42 pages
| null | null |
LCTP-24-01
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The low-temperature thermodynamics of near-extremal rotating black holes has
recently been revisited to incorporate one-loop contributions that are dominant
in this regime. We discuss these quantum corrections to the gravitational path
integral for asymptotically Anti de-Sitter black holes in four and five
dimensions. In four dimensions we explicitly consider Kerr-AdS$_4$,
Kerr-Newman-AdS$_4$ and the rotating black hole in ${\cal N}=4$ gauged
supergravity with two scalars and two electric charges turned on. In five
dimensions we explicitly address the asymptotically flat Myers-Perry black hole
and the Kerr-AdS$_5$ black hole. In every case we find that tensor modes
contribute $\frac{3}{2} \log T_{\rm Hawking}$ to the low-temperature
thermodynamics. We identify the root cause of this universality in two facts:
(i) the universal presence of a $SL(2,\mathbb{R})$ subgroup of isometries in
the near-horizon geometry and (ii) a set of cancellations in the Lichnerowicz
operator. We show that these two conditions hold for near-extremal black holes
in asymptotically flat and asymptotically AdS spacetimes of various dimensions.
|
[
{
"created": "Mon, 29 Jan 2024 19:25:49 GMT",
"version": "v1"
}
] |
2024-01-31
|
[
[
"Maulik",
"Sabyasachi",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Ray",
"Augniva",
""
],
[
"Zhang",
"Jingchao",
""
]
] |
The low-temperature thermodynamics of near-extremal rotating black holes has recently been revisited to incorporate one-loop contributions that are dominant in this regime. We discuss these quantum corrections to the gravitational path integral for asymptotically Anti de-Sitter black holes in four and five dimensions. In four dimensions we explicitly consider Kerr-AdS$_4$, Kerr-Newman-AdS$_4$ and the rotating black hole in ${\cal N}=4$ gauged supergravity with two scalars and two electric charges turned on. In five dimensions we explicitly address the asymptotically flat Myers-Perry black hole and the Kerr-AdS$_5$ black hole. In every case we find that tensor modes contribute $\frac{3}{2} \log T_{\rm Hawking}$ to the low-temperature thermodynamics. We identify the root cause of this universality in two facts: (i) the universal presence of a $SL(2,\mathbb{R})$ subgroup of isometries in the near-horizon geometry and (ii) a set of cancellations in the Lichnerowicz operator. We show that these two conditions hold for near-extremal black holes in asymptotically flat and asymptotically AdS spacetimes of various dimensions.
|
hep-th/0411053
|
Matej Pavsic
|
Matej Pavsic
|
Clifford Space as a Generalization of Spacetime: Prospects for
Unification in Physics
|
12 pages; Talk presented at {\it 4th Vigier Symposium: The Search For
Unity in Physics}, September 15th--19th, 2003, Paris, France
| null | null |
IJS/TP-22/04
|
hep-th gr-qc
| null |
The geometric calculus based on Clifford algebra is a very useful tool for
geometry and physics. It describes a geometric structure which is much richer
than the ordinary geometry of spacetime. A Clifford manifold ($C$-space)
consists not only of points, but also of 1-loops, 2-loops, etc.. They are
associated with multivectors which are the wedge product of the basis vectors,
the generators of Clifford algebra. We assume that $C$-space is the true space
in which physics takes place and that physical quantities are Clifford algebra
valued objects, namely, superpositions of multivectors, called Clifford
aggregates or polyvectors. We explore some very promising features of physics
in Clifford space, in particular those related to a consistent construction of
string theory and quantum field theory.
|
[
{
"created": "Thu, 4 Nov 2004 13:17:00 GMT",
"version": "v1"
},
{
"created": "Fri, 5 May 2006 11:34:27 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Pavsic",
"Matej",
""
]
] |
The geometric calculus based on Clifford algebra is a very useful tool for geometry and physics. It describes a geometric structure which is much richer than the ordinary geometry of spacetime. A Clifford manifold ($C$-space) consists not only of points, but also of 1-loops, 2-loops, etc.. They are associated with multivectors which are the wedge product of the basis vectors, the generators of Clifford algebra. We assume that $C$-space is the true space in which physics takes place and that physical quantities are Clifford algebra valued objects, namely, superpositions of multivectors, called Clifford aggregates or polyvectors. We explore some very promising features of physics in Clifford space, in particular those related to a consistent construction of string theory and quantum field theory.
|
hep-th/0203106
|
Dr. Betti Hartmann
|
Yves Brihaye (University of Mons, Belgium) and Betti Hartmann
(University of Durham, United Kingdom)
|
Remarks on the interaction between Born-Infeld solitons
|
11 Revtex pages; some typos corrected, formular added
|
Nonlinearity 15 (2002) 2193-2200
|
10.1088/0951-7715/15/6/320
|
DCPT-02/19
|
hep-th
| null |
We consider the Abelian Higgs model as well as the SU(2) Georgi-Glashow model
in which the gauge field action is replaced by a non linear Born-Infeld action.
We study soliton solutions arising in these models, namely the vortex and
monopole solutions, respectively. We construct formulas which provide good
approximations for the mass of the Born-Infeld deformed solitons using only the
data of the undeformed solutions. The results obtained indicate that in the
self-dual limit, the Born-Infeld interaction leads to bound vortices, while for
monopoles it gives rise to repulsion.
|
[
{
"created": "Tue, 12 Mar 2002 16:13:05 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Mar 2002 22:49:27 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Apr 2002 15:45:24 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Brihaye",
"Yves",
"",
"University of Mons, Belgium"
],
[
"Hartmann",
"Betti",
"",
"University of Durham, United Kingdom"
]
] |
We consider the Abelian Higgs model as well as the SU(2) Georgi-Glashow model in which the gauge field action is replaced by a non linear Born-Infeld action. We study soliton solutions arising in these models, namely the vortex and monopole solutions, respectively. We construct formulas which provide good approximations for the mass of the Born-Infeld deformed solitons using only the data of the undeformed solutions. The results obtained indicate that in the self-dual limit, the Born-Infeld interaction leads to bound vortices, while for monopoles it gives rise to repulsion.
|
1305.3539
|
Tomas Andrade
|
Tomas Andrade and Simon F. Ross
|
Boundary conditions for metric fluctuations in Lifshitz
|
35 pages, 11 figures
| null |
10.1088/0264-9381/30/19/195017
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the quantisation of linearised fluctuations of the metric and
matter fields about a Lifshitz background, exploring the possibility of
alternative boundary conditions, allowing the slow fall-off modes to fluctuate.
We find that for $z >2$, slow fall-off modes for some of the linearised
fluctuations are normalizable, which opens up the possibility of considering
alternative boundary conditions. Analysing stability, we find that alternative
boundary conditions for the momentum density are allowed, but alternative
boundary conditions for the energy density lead to an instability of the type
we recently discovered in a similar analysis for scalar fields on a fixed
Lifshitz background. Our investigation is in the context of the simple massive
vector model, but we would expect the conclusions to be more general.
|
[
{
"created": "Wed, 15 May 2013 16:42:57 GMT",
"version": "v1"
}
] |
2015-06-15
|
[
[
"Andrade",
"Tomas",
""
],
[
"Ross",
"Simon F.",
""
]
] |
We consider the quantisation of linearised fluctuations of the metric and matter fields about a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow fall-off modes to fluctuate. We find that for $z >2$, slow fall-off modes for some of the linearised fluctuations are normalizable, which opens up the possibility of considering alternative boundary conditions. Analysing stability, we find that alternative boundary conditions for the momentum density are allowed, but alternative boundary conditions for the energy density lead to an instability of the type we recently discovered in a similar analysis for scalar fields on a fixed Lifshitz background. Our investigation is in the context of the simple massive vector model, but we would expect the conclusions to be more general.
|
2111.10812
|
Sen Guo
|
Guan-Ru Li, Sen Guo, En-Wei Liang
|
High-order QED correction impacts on phase transition of the
Euler-Heisenberg AdS black hole
|
10 pages, 11 figures
|
published Physical Review D (PRD) 2022
|
10.1103/PhysRevD.106.064011
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Two-phase transition branches of the Euler-Heisenberg (EH) anti-de Sitter
(AdS) black hole (BH) were derived from its phase transition critical behavior
by Magos et al. [Phys. Rev. D. 102, 084011 (2020)]. We found that the phase
transition is unstable. Considering the high-order quantum electrodynamics
(QED) correction, we re-derive the EHAdS BH solution and investigate its
critical thermodynamic quantities. It is found that the corrected EHAdS BH has
only one stable phase transition branch, and its critical exponents are
equivalent to that of the vdW system. From the microscopic point of view, we
also derive its normalized scalar curvature based on the Ruppeiner geometry.
Different from two concave surfaces of the scalar curvature without considering
the high-order QED correction, we show that the corrected Ruppeiner geometry
has only one concave surface. Our results indicate that the phase transition
instability derived by Magos $et~al.$ is due to without considering the
high-order QED correction.
|
[
{
"created": "Sun, 21 Nov 2021 13:02:17 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Jan 2022 12:35:22 GMT",
"version": "v2"
},
{
"created": "Tue, 17 May 2022 07:27:10 GMT",
"version": "v3"
},
{
"created": "Fri, 20 May 2022 14:46:27 GMT",
"version": "v4"
},
{
"created": "Thu, 25 Aug 2022 06:07:17 GMT",
"version": "v5"
}
] |
2022-09-21
|
[
[
"Li",
"Guan-Ru",
""
],
[
"Guo",
"Sen",
""
],
[
"Liang",
"En-Wei",
""
]
] |
Two-phase transition branches of the Euler-Heisenberg (EH) anti-de Sitter (AdS) black hole (BH) were derived from its phase transition critical behavior by Magos et al. [Phys. Rev. D. 102, 084011 (2020)]. We found that the phase transition is unstable. Considering the high-order quantum electrodynamics (QED) correction, we re-derive the EHAdS BH solution and investigate its critical thermodynamic quantities. It is found that the corrected EHAdS BH has only one stable phase transition branch, and its critical exponents are equivalent to that of the vdW system. From the microscopic point of view, we also derive its normalized scalar curvature based on the Ruppeiner geometry. Different from two concave surfaces of the scalar curvature without considering the high-order QED correction, we show that the corrected Ruppeiner geometry has only one concave surface. Our results indicate that the phase transition instability derived by Magos $et~al.$ is due to without considering the high-order QED correction.
|
hep-th/0006152
|
Alexander Kling
|
Friedemann Brandt, Alexander Kling, Maximilian Kreuzer
|
Actions and symmetries of NSR superstrings and D-strings
|
4 pages, references added and errors corrected
|
Phys.Lett. B494 (2000) 155-160
|
10.1016/S0370-2693(00)01178-3
|
MPI-MIS-00/41, ITP-UH-11/00, TUW-00-19
|
hep-th
| null |
We present all NSR superstring and super-D-string actions invariant under a
set of prescribed gauge transformations, and characterize completely their
global symmetries. In particular we obtain locally supersymmetric Born-Infeld
actions on general backgrounds in a formulation with extra target space
dimensions. The nontrivial global symmetries of the superstring actions
correspond to isometries of the background, whereas super-D-string actions can
have additional symmetries acting nontrivially also on the coordinates of the
extra dimensions.
|
[
{
"created": "Tue, 20 Jun 2000 15:57:21 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Jul 2000 11:36:41 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Brandt",
"Friedemann",
""
],
[
"Kling",
"Alexander",
""
],
[
"Kreuzer",
"Maximilian",
""
]
] |
We present all NSR superstring and super-D-string actions invariant under a set of prescribed gauge transformations, and characterize completely their global symmetries. In particular we obtain locally supersymmetric Born-Infeld actions on general backgrounds in a formulation with extra target space dimensions. The nontrivial global symmetries of the superstring actions correspond to isometries of the background, whereas super-D-string actions can have additional symmetries acting nontrivially also on the coordinates of the extra dimensions.
|
2212.09370
|
Sergio Cecotti
|
Sergio Cecotti
|
Fuchsian ODEs as Seiberg dualities
|
51 pages; clarifications required by the referee
| null | null | null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The classical theory of Fuchsian differential equations is largely equivalent
to the theory of Seiberg dualities for quiver SUSY gauge theories. In
particular: all known integral representations of solutions, and their
connection formulae, are immediate consequences of (analytically continued)
Seiberg duality in view of the dictionary between linear ODEs and gauge
theories with 4 supersymmetries.
The purpose of this divertissement is to explain "physically'' this
remarkable relation in the spirit of Physical Mathematics. The connection goes
through a "mirror-theoretic'' identification of irreducible logarithmic
connections on $\mathbb{P}^1$ with would-be BPS dyons of 4d $\mathcal{N}=2$
$SU(2)$ SYM coupled to a certain Argyres-Douglas "matter''. When the underlying
bundle is trivial, i.e. the log-connection is a Fuchs system, the world-line
theory of the dyon simplifies and the action of Seiberg duality on the Fuchsian
ODEs becomes quite explicit. The duality action is best described in terms of
Representation Theory of Kac-Moody Lie algebras (and their affinizations).
|
[
{
"created": "Mon, 19 Dec 2022 11:15:55 GMT",
"version": "v1"
},
{
"created": "Tue, 20 Dec 2022 03:23:17 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Jan 2023 05:34:30 GMT",
"version": "v3"
},
{
"created": "Tue, 26 Sep 2023 05:32:49 GMT",
"version": "v4"
}
] |
2023-09-27
|
[
[
"Cecotti",
"Sergio",
""
]
] |
The classical theory of Fuchsian differential equations is largely equivalent to the theory of Seiberg dualities for quiver SUSY gauge theories. In particular: all known integral representations of solutions, and their connection formulae, are immediate consequences of (analytically continued) Seiberg duality in view of the dictionary between linear ODEs and gauge theories with 4 supersymmetries. The purpose of this divertissement is to explain "physically'' this remarkable relation in the spirit of Physical Mathematics. The connection goes through a "mirror-theoretic'' identification of irreducible logarithmic connections on $\mathbb{P}^1$ with would-be BPS dyons of 4d $\mathcal{N}=2$ $SU(2)$ SYM coupled to a certain Argyres-Douglas "matter''. When the underlying bundle is trivial, i.e. the log-connection is a Fuchs system, the world-line theory of the dyon simplifies and the action of Seiberg duality on the Fuchsian ODEs becomes quite explicit. The duality action is best described in terms of Representation Theory of Kac-Moody Lie algebras (and their affinizations).
|
hep-th/9701125
| null |
A.A. Tseytlin
|
On non-abelian generalisation of Born-Infeld action in string theory
|
13 pages, harvmac. Some confusion about instanton matrix model
solutions corrected (string solution is interpreted as a D-string bound to a
large number of D-instantons)
|
Nucl.Phys.B501:41-52,1997
|
10.1016/S0550-3213(97)00354-4
|
CERN-TH/97-09, Imperial/TP/96-97/19
|
hep-th
| null |
We show that the part of the tree-level open string effective action for the
non-abelian vector field which depends on the field strength but not on its
covariant derivatives, is given by the symmetrised trace of the direct
non-abelian generalisation of the Born-Infeld invariant. We discuss
applications to D-brane dynamics.
|
[
{
"created": "Thu, 23 Jan 1997 21:47:59 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jan 1997 23:55:08 GMT",
"version": "v2"
},
{
"created": "Wed, 29 Jan 1997 22:47:26 GMT",
"version": "v3"
}
] |
2009-09-17
|
[
[
"Tseytlin",
"A. A.",
""
]
] |
We show that the part of the tree-level open string effective action for the non-abelian vector field which depends on the field strength but not on its covariant derivatives, is given by the symmetrised trace of the direct non-abelian generalisation of the Born-Infeld invariant. We discuss applications to D-brane dynamics.
|
1907.07145
|
Rafael Augusto Couceiro Correa
|
R. A. C. Correa, A. de Souza Dutra, T. Frederico, Boris A. Malomed, O.
Oliveira, N. Sawado
|
Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
|
to be published in Chaos
| null |
10.1063/1.5120500
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Oscillons are time-dependent, localized in space, extremely long-lived states
in nonlinear scalar-field models, while kinks are topological solitons in one
spatial dimension. In the present work, we show new classes of oscillons and
oscillating kinks in a system of two nonlinearly coupled scalar fields in $1 +
1$ spatiotemporal dimensions. The solutions contain a control parameter, the
variation of which produces oscillons and kinks with a flat-top shape. The
model finds applications to condensed matter, cosmology, and high-energy
physics.
|
[
{
"created": "Tue, 16 Jul 2019 17:09:04 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jul 2019 15:55:24 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Sep 2019 15:03:13 GMT",
"version": "v3"
}
] |
2020-01-08
|
[
[
"Correa",
"R. A. C.",
""
],
[
"Dutra",
"A. de Souza",
""
],
[
"Frederico",
"T.",
""
],
[
"Malomed",
"Boris A.",
""
],
[
"Oliveira",
"O.",
""
],
[
"Sawado",
"N.",
""
]
] |
Oscillons are time-dependent, localized in space, extremely long-lived states in nonlinear scalar-field models, while kinks are topological solitons in one spatial dimension. In the present work, we show new classes of oscillons and oscillating kinks in a system of two nonlinearly coupled scalar fields in $1 + 1$ spatiotemporal dimensions. The solutions contain a control parameter, the variation of which produces oscillons and kinks with a flat-top shape. The model finds applications to condensed matter, cosmology, and high-energy physics.
|
hep-th/9707199
|
Gerardo Rossini
|
C.D.Fosco (1), G.L.Rossini (2,3) and F.A.Schaposnik (3) ((1) Centro
Atomico Bariloche, Argentina (2) Massachusetts Institute of Technology, (3)
Universidad Nacional de La Plata, Argentina)
|
Abelian and Non-Abelian Induced Parity Breaking Terms at Finite
Temperature
|
13 pages, RevTeX, no figures
|
Phys.Rev.D56:6547-6555,1997
|
10.1103/PhysRevD.56.6547
|
MIT-CTP-2659, La Plata-Th 97/17
|
hep-th
| null |
We compute the exact canonically induced parity breaking part of the
effective action for 2+1 massive fermions in particular Abelian and non Abelian
gauge field backgrounds. The method of computation resorts to the chiral
anomaly of the dimensionally reduced theory.
|
[
{
"created": "Wed, 23 Jul 1997 19:24:02 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Fosco",
"C. D.",
""
],
[
"Rossini",
"G. L.",
""
],
[
"Schaposnik",
"F. A.",
""
]
] |
We compute the exact canonically induced parity breaking part of the effective action for 2+1 massive fermions in particular Abelian and non Abelian gauge field backgrounds. The method of computation resorts to the chiral anomaly of the dimensionally reduced theory.
|
2406.02573
|
Sergei Kuzenko
|
John H. Fegebank and Sergei M. Kuzenko
|
On equivalence of gauge-invariant models for massive integer-spin fields
|
39 pages. This work includes the main results of the unpublished
manuscript arXiv:2310.00951; V2: references and comments added
| null | null | null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There are several approaches to formulate gauge-invariant models for massive
integer-spin field in $d$ dimensions including the following: (i) in terms of
symmetric tensor fields $\phi_{\mu_1 \dots \mu_k} $, with $k = s, s-1, \dots ,
0$, restricted to be double traceless for $k\geq 4$; and (ii) in terms of a
quartet of $traceful$ symmetric tensor fields $\psi_{\mu_1 \dots \mu_k} $, of
rank $k=s,s-1,s-2, s-3$. We demonstrate that these formulations in Minkowski
space ${\mathbb M}^d$ are equivalent to the gauge-invariant theory for a
massive integer-spin field proposed in 1989 by Pashnev. We also make use of the
Klishevich-Zinoviev theory in ${\mathbb M}^d$ to derive a generalisation of the
Singh-Hagen model for a massive integer-spin field in $d>4 $ dimensions.
|
[
{
"created": "Mon, 20 May 2024 09:24:17 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2024 08:56:24 GMT",
"version": "v2"
}
] |
2024-06-12
|
[
[
"Fegebank",
"John H.",
""
],
[
"Kuzenko",
"Sergei M.",
""
]
] |
There are several approaches to formulate gauge-invariant models for massive integer-spin field in $d$ dimensions including the following: (i) in terms of symmetric tensor fields $\phi_{\mu_1 \dots \mu_k} $, with $k = s, s-1, \dots , 0$, restricted to be double traceless for $k\geq 4$; and (ii) in terms of a quartet of $traceful$ symmetric tensor fields $\psi_{\mu_1 \dots \mu_k} $, of rank $k=s,s-1,s-2, s-3$. We demonstrate that these formulations in Minkowski space ${\mathbb M}^d$ are equivalent to the gauge-invariant theory for a massive integer-spin field proposed in 1989 by Pashnev. We also make use of the Klishevich-Zinoviev theory in ${\mathbb M}^d$ to derive a generalisation of the Singh-Hagen model for a massive integer-spin field in $d>4 $ dimensions.
|
1704.08566
|
Fabio Riccioni
|
Davide M. Lombardo, Fabio Riccioni and Stefano Risoli
|
Non-geometric fluxes & tadpole conditions for exotic branes
|
33 pages, refs. added. Notation improved. Discussion on the solutions
of the tadpole conditions added in the conclusions. Version published on JHEP
| null |
10.1007/JHEP10(2017)134
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We extend the $P$-flux analysis carried out recently on the
$T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ type-II orientifold model to include
all the possible non-geometric fluxes. By deriving universal T-duality rules
for all the fluxes, we are able to write down a complete expression for the
superpotential for both the IIB and IIA theories. By exploiting the universal
T-duality rules that apply to all the branes in string theory, we then identify
all the exotic branes that can be consistently included to cancel the tadpoles
induced by the fluxes. Finally, we derive the representations of these branes
with respect to the $SL(2,\mathbb{Z})^7$ duality symmetry of the model.
|
[
{
"created": "Thu, 27 Apr 2017 13:39:29 GMT",
"version": "v1"
},
{
"created": "Thu, 4 May 2017 12:45:01 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Jan 2018 21:46:11 GMT",
"version": "v3"
}
] |
2018-01-11
|
[
[
"Lombardo",
"Davide M.",
""
],
[
"Riccioni",
"Fabio",
""
],
[
"Risoli",
"Stefano",
""
]
] |
We extend the $P$-flux analysis carried out recently on the $T^6/[\mathbb{Z}_2 \times \mathbb{Z}_2 ]$ type-II orientifold model to include all the possible non-geometric fluxes. By deriving universal T-duality rules for all the fluxes, we are able to write down a complete expression for the superpotential for both the IIB and IIA theories. By exploiting the universal T-duality rules that apply to all the branes in string theory, we then identify all the exotic branes that can be consistently included to cancel the tadpoles induced by the fluxes. Finally, we derive the representations of these branes with respect to the $SL(2,\mathbb{Z})^7$ duality symmetry of the model.
|
1003.1437
|
Ichiro Oda
|
Ichiro Oda
|
Higgs Mechanism for Gravitons
|
11 pages
|
Mod.Phys.Lett.A25:2411-2421,2010
|
10.1142/S0217732310033724
|
DPUR/TH/20
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Just like the vector gauge bosons in the gauge theories, it is now known that
gravitons acquire mass in the process of spontaneous symmetry breaking of
diffeomorphisms through the condensation of scalar fields. The point is that we
should find the gravitational Higgs mechanism such that it results in massive
gravity in a flat Minkowski space-time without non-unitary propagating modes.
This is usually achieved by including higher-derivative terms in scalars and
tuning the cosmological constant to be a negative value in a proper way.
Recently, a similar but different gravitational Higgs mechanism has been
advocated by Chamseddine and Mukhanov where one can relax the negative
cosmological constant to zero or positive one. In this work, we investigate why
the non-unitary ghost mode decouples from physical Hilbert space in a general
space-time dimension. Moreover, we generalize the model to possess an arbitrary
potential and clarify under what conditions the general model exhibits the
gravitational Higgs mechanism. By searching for solutions to the conditions, we
arrive at two classes of potentials exhibiting gravitational Higgs mechanism.
One class includes the model by Chamseddine and Mukhanov in a specific case
while the other is completely a new model.
|
[
{
"created": "Sun, 7 Mar 2010 06:08:00 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Apr 2010 09:00:34 GMT",
"version": "v2"
}
] |
2014-11-20
|
[
[
"Oda",
"Ichiro",
""
]
] |
Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields. The point is that we should find the gravitational Higgs mechanism such that it results in massive gravity in a flat Minkowski space-time without non-unitary propagating modes. This is usually achieved by including higher-derivative terms in scalars and tuning the cosmological constant to be a negative value in a proper way. Recently, a similar but different gravitational Higgs mechanism has been advocated by Chamseddine and Mukhanov where one can relax the negative cosmological constant to zero or positive one. In this work, we investigate why the non-unitary ghost mode decouples from physical Hilbert space in a general space-time dimension. Moreover, we generalize the model to possess an arbitrary potential and clarify under what conditions the general model exhibits the gravitational Higgs mechanism. By searching for solutions to the conditions, we arrive at two classes of potentials exhibiting gravitational Higgs mechanism. One class includes the model by Chamseddine and Mukhanov in a specific case while the other is completely a new model.
|
hep-th/0504160
|
Valeri Dolotin
|
E.T.Akhmedov, V.Dolotin and A.Morozov
|
Comment on the Surface Exponential for Tensor Fields
|
6 pages
|
JETPLett.81:639-643,2005; PismaZh.Eksp.Teor.Fiz.81:776-779,2005
|
10.1134/1.2034595
|
ITEP-TH-28/05
|
hep-th
| null |
Starting from essentially commutative exponential map $E(B|I)$ for generic
tensor-valued 2-forms $B$, introduced in \cite{Akh} as direct generalization of
the ordinary non-commutative $P$-exponent for 1-forms with values in matrices
(i.e. in tensors of rank 2), we suggest a non-trivial but multi-parametric
exponential ${\cal E}(B|I|t_\gamma)$, which can serve as an interesting
multi-directional evolution operator in the case of higher ranks. To emphasize
the most important aspects of the story, construction is restricted to
backgrounds $I_{ijk}$, associated with the structure constants of {\it
commutative} associative algebras, what makes it unsensitive to topology of the
2d surface. Boundary effects are also eliminated (straightfoward generalization
is needed to incorporate them).
|
[
{
"created": "Tue, 19 Apr 2005 17:46:54 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Akhmedov",
"E. T.",
""
],
[
"Dolotin",
"V.",
""
],
[
"Morozov",
"A.",
""
]
] |
Starting from essentially commutative exponential map $E(B|I)$ for generic tensor-valued 2-forms $B$, introduced in \cite{Akh} as direct generalization of the ordinary non-commutative $P$-exponent for 1-forms with values in matrices (i.e. in tensors of rank 2), we suggest a non-trivial but multi-parametric exponential ${\cal E}(B|I|t_\gamma)$, which can serve as an interesting multi-directional evolution operator in the case of higher ranks. To emphasize the most important aspects of the story, construction is restricted to backgrounds $I_{ijk}$, associated with the structure constants of {\it commutative} associative algebras, what makes it unsensitive to topology of the 2d surface. Boundary effects are also eliminated (straightfoward generalization is needed to incorporate them).
|
2306.12995
|
Nicolo Piazzalunga
|
Nikita Nekrasov, Nicolo Piazzalunga
|
Global magni$4$icence, or: 4G Networks
|
expand and correct section 4, add references
| null | null | null |
hep-th math-ph math.AG math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
The global magnificent four theory is the homological version of a maximally
supersymmetric $(8+1)$-dimensional gauge theory on a Calabi-Yau fourfold
fibered over a circle. In the case of a toric fourfold we conjecture the
formula for its twisted Witten index. String-theoretically we count the BPS
states of a system of $D0$-$D2$-$D4$-$D6$-$D8$-branes on the Calabi-Yau
fourfold in the presence of a large Neveu-Schwarz $B$-field. Mathematically, we
develop the equivariant $K$-theoretic DT4 theory, by constructing the
four-valent vertex with generic plane partition asymptotics. Physically, the
vertex is a supersymmetric localization of a non-commutative gauge theory in
$8+1$ dimensions.
|
[
{
"created": "Thu, 22 Jun 2023 15:51:18 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Feb 2024 16:43:39 GMT",
"version": "v2"
}
] |
2024-02-20
|
[
[
"Nekrasov",
"Nikita",
""
],
[
"Piazzalunga",
"Nicolo",
""
]
] |
The global magnificent four theory is the homological version of a maximally supersymmetric $(8+1)$-dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the case of a toric fourfold we conjecture the formula for its twisted Witten index. String-theoretically we count the BPS states of a system of $D0$-$D2$-$D4$-$D6$-$D8$-branes on the Calabi-Yau fourfold in the presence of a large Neveu-Schwarz $B$-field. Mathematically, we develop the equivariant $K$-theoretic DT4 theory, by constructing the four-valent vertex with generic plane partition asymptotics. Physically, the vertex is a supersymmetric localization of a non-commutative gauge theory in $8+1$ dimensions.
|
hep-th/0010053
|
Olivier Piguet
|
Olivier Piguet
|
Diffeomorphism Invariant Theories and Vector Supersymmetry
|
9 pages, LaTex. Talk given at the International Conference
"Quantization, Gauge Theory, and Strings" dedicated to the memory of
Professor Efim Fradkin, Moscow, 2000
| null | null |
UFES-DF-OP2000/3
|
hep-th gr-qc
| null |
Einstein gravity in the Palatini first order formalism is shown to possess a
vector supersymmetry of the type encountered in the topological gauge theories.
A peculiar feature of the gravitationel theory is the link of this vector
supersymmetry with the field equation of motion of the Faddeev-Popov ghost
associated to diffeomorphism invariance.
|
[
{
"created": "Sun, 8 Oct 2000 16:10:23 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Piguet",
"Olivier",
""
]
] |
Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the type encountered in the topological gauge theories. A peculiar feature of the gravitationel theory is the link of this vector supersymmetry with the field equation of motion of the Faddeev-Popov ghost associated to diffeomorphism invariance.
|
1809.06030
|
Hugo Garcia-Compean
|
Hugo Garcia-Compean, Octavio Obregon, Cupatitzio Ramirez
|
New Reflections on Gravitational Duality
|
17 pages, paper to be published in Frontiers in Physics
|
Front.in Phys.6:102,2018
|
10.3389/fphy.2018.00102
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In general terms duality consists of two descriptions of one physical system
by using degrees of freedom of different nature. There are different kinds of
dualities and they have been extremely useful to uncover the underlying strong
coupling dynamics of gauge theories in various dimensions and those of the
diverse string theories. Perhaps the oldest example exhibiting this property is
Maxwell theory, which interchanges electric and magnetic fields. An extension
of this duality involving the sources is also possible if the magnetic monopole
is incorporated. At the present time a lot has been understood about duality in
non-Abelian gauge theories as in the case of N=4 supersymmetric gauge theories
in four dimensions or in the Seiberg-Witten duality for N=2 theories. Moreover,
a duality that relates a gravitational theory (or a string theory) and a
conformal gauge theory, as in the case of gauge/gravity correspondence, have
been also studied with considerable detail. The case of duality between two
gravitational theories is the so called gravitational duality. At the present
time, this duality has not been exhaustively studied, however some advances
have been reported in the literature. In the present paper we give a general
overview of this subject. In particular we will focus on non-Abelian dualities,
applied to various theories of gravity as developed by the authors, based in
the Rocek-Verlinde duality procedure. Finally, as a new development in this
direction, we study the gravitational duality in Hitchin's gravity in seven and
six dimensions and their relation is also discussed.
|
[
{
"created": "Mon, 17 Sep 2018 06:07:03 GMT",
"version": "v1"
}
] |
2018-09-28
|
[
[
"Garcia-Compean",
"Hugo",
""
],
[
"Obregon",
"Octavio",
""
],
[
"Ramirez",
"Cupatitzio",
""
]
] |
In general terms duality consists of two descriptions of one physical system by using degrees of freedom of different nature. There are different kinds of dualities and they have been extremely useful to uncover the underlying strong coupling dynamics of gauge theories in various dimensions and those of the diverse string theories. Perhaps the oldest example exhibiting this property is Maxwell theory, which interchanges electric and magnetic fields. An extension of this duality involving the sources is also possible if the magnetic monopole is incorporated. At the present time a lot has been understood about duality in non-Abelian gauge theories as in the case of N=4 supersymmetric gauge theories in four dimensions or in the Seiberg-Witten duality for N=2 theories. Moreover, a duality that relates a gravitational theory (or a string theory) and a conformal gauge theory, as in the case of gauge/gravity correspondence, have been also studied with considerable detail. The case of duality between two gravitational theories is the so called gravitational duality. At the present time, this duality has not been exhaustively studied, however some advances have been reported in the literature. In the present paper we give a general overview of this subject. In particular we will focus on non-Abelian dualities, applied to various theories of gravity as developed by the authors, based in the Rocek-Verlinde duality procedure. Finally, as a new development in this direction, we study the gravitational duality in Hitchin's gravity in seven and six dimensions and their relation is also discussed.
|
2111.01596
|
Anisur Rahaman
|
Anisur Rahaman
|
On the indistinguishability of Chiral QED with parameter-free Faddeevian
anomaly and QED under a chiral constraint
|
10 pages latex
| null |
10.1142/S0217732322500365
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We carry out an investigation imposing a chiral constraint in the phase space
of vector and axial-vector Schwinger model. We find that resulting model is
identical to gauge non-invariant model which was obtained by the imposition of
chiral constraint in the phase-space of in Chiral Schwinger model with the
parameter-free Faddeevian anomaly. Three different models having different
types of interaction between the matter and gauge field become
indistinguishable under a chiral constraint at the quantum mechanical level.
The resulting gauge non-invariant model has an equivalent gauge-invariant
version in the same phase space that can be identified with the vector
Schwinger model.
|
[
{
"created": "Tue, 2 Nov 2021 13:52:37 GMT",
"version": "v1"
}
] |
2022-04-13
|
[
[
"Rahaman",
"Anisur",
""
]
] |
We carry out an investigation imposing a chiral constraint in the phase space of vector and axial-vector Schwinger model. We find that resulting model is identical to gauge non-invariant model which was obtained by the imposition of chiral constraint in the phase-space of in Chiral Schwinger model with the parameter-free Faddeevian anomaly. Three different models having different types of interaction between the matter and gauge field become indistinguishable under a chiral constraint at the quantum mechanical level. The resulting gauge non-invariant model has an equivalent gauge-invariant version in the same phase space that can be identified with the vector Schwinger model.
|
1409.8194
|
John Morris
|
J.R. Morris
|
Short note on the stability of a dilatonic wall
|
5 pages; to appear in Quantum Stud.: Math. Found. Online
http://link.springer.com/article/10.1007/s40509-014-0021-7
|
Quantum Stud: Math. Found. 1, 167-171 (2014)
|
10.1007/s40509-014-0021-7
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A nontopological soliton solution of dilaton-Maxwell theory describes a
domain wall-like solution which confines magnetic flux in its core [G.W.
Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499 (1994)]. Since the
solution is not stabilized by a nontrivial topology of the vacuum manifold, it
is interesting to see if the static solution is stable against small
fluctuations. We consider the stability of the solution in response to small
fluctuations in the scalar and magnetic fields. It is determined that the
ansatz solution does indeed exhibit stability.
|
[
{
"created": "Mon, 29 Sep 2014 17:11:47 GMT",
"version": "v1"
}
] |
2014-11-04
|
[
[
"Morris",
"J. R.",
""
]
] |
A nontopological soliton solution of dilaton-Maxwell theory describes a domain wall-like solution which confines magnetic flux in its core [G.W. Gibbons and C.G. Wells, Class. Quant. Grav. 11, 2499 (1994)]. Since the solution is not stabilized by a nontrivial topology of the vacuum manifold, it is interesting to see if the static solution is stable against small fluctuations. We consider the stability of the solution in response to small fluctuations in the scalar and magnetic fields. It is determined that the ansatz solution does indeed exhibit stability.
|
2011.13223
|
Bidisha Chakrabarty
|
Bidisha Chakrabarty, P. M. Aswin
|
Open effective theory of scalar field in rotating plasma
|
34 pages, 4 figures
|
J. High Energ. Phys. 2021, 169 (2021)
|
10.1007/JHEP08(2021)169
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We study the effective dynamics of an open scalar field interacting with a
strongly-coupled two-dimensional rotating CFT plasma. The effective theory is
determined by the real-time correlation functions of the thermal plasma. We
employ holographic Schwinger-Keldysh path integral techniques to compute the
effective theory. The quadratic effective theory computed using holography
leads to the linear Langevin dynamics with rotation. The noise and dissipation
terms in this equation get related by the fluctuation-dissipation relation in
presence of chemical potential due to angular momentum. We further compute
higher order terms in the effective theory of the open scalar field. At quartic
order, we explicitly compute the coefficient functions that appear in front of
various terms in the effective action in the limit when the background plasma
is slowly rotating. The higher order effective theory has a description in
terms of the non-linear Langevin equation with non-Gaussianity in the thermal
noise.
|
[
{
"created": "Thu, 26 Nov 2020 10:46:34 GMT",
"version": "v1"
}
] |
2021-09-10
|
[
[
"Chakrabarty",
"Bidisha",
""
],
[
"Aswin",
"P. M.",
""
]
] |
We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ holographic Schwinger-Keldysh path integral techniques to compute the effective theory. The quadratic effective theory computed using holography leads to the linear Langevin dynamics with rotation. The noise and dissipation terms in this equation get related by the fluctuation-dissipation relation in presence of chemical potential due to angular momentum. We further compute higher order terms in the effective theory of the open scalar field. At quartic order, we explicitly compute the coefficient functions that appear in front of various terms in the effective action in the limit when the background plasma is slowly rotating. The higher order effective theory has a description in terms of the non-linear Langevin equation with non-Gaussianity in the thermal noise.
|
1811.07241
|
Sung-Sik Lee
|
Sung-Sik Lee
|
State dependent spread of entanglement in relatively local Hamiltonians
|
30 pages, 12 figures; v4) a new section on roadmap to quantum gravity
+ minor corrections
|
J. High Energ. Phys. (2019) 2019: 215
|
10.1007/JHEP05(2019)215
| null |
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Relatively local Hamiltonians are a class of background independent non-local
Hamiltonians from which local theories emerge within a set of short-range
entangled states. The dimension, topology and geometry of the emergent local
theory is determined by the initial state to which the Hamiltonian is applied.
In this paper, we study dynamical properties of a simple relatively local
Hamiltonian for N scalar fields in the large N limit. It is shown that the
coordinate speeds at which entanglement spreads and local disturbance
propagates in space strongly depend on state in the relatively local
Hamiltonian.
|
[
{
"created": "Sat, 17 Nov 2018 22:51:36 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Jan 2019 18:51:03 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Feb 2019 17:05:21 GMT",
"version": "v3"
},
{
"created": "Thu, 16 May 2019 09:26:28 GMT",
"version": "v4"
}
] |
2019-06-12
|
[
[
"Lee",
"Sung-Sik",
""
]
] |
Relatively local Hamiltonians are a class of background independent non-local Hamiltonians from which local theories emerge within a set of short-range entangled states. The dimension, topology and geometry of the emergent local theory is determined by the initial state to which the Hamiltonian is applied. In this paper, we study dynamical properties of a simple relatively local Hamiltonian for N scalar fields in the large N limit. It is shown that the coordinate speeds at which entanglement spreads and local disturbance propagates in space strongly depend on state in the relatively local Hamiltonian.
|
hep-th/0203159
|
Tanmay Vachaspati
|
Tanmay Vachaspati
|
Bound states in bottomless potentials
|
2 pages
| null |
10.1103/PhysRevA.66.014104
| null |
hep-th cond-mat gr-qc hep-ph quant-ph
| null |
We consider classical and quantum dynamics on potentials that are
asymptotically unbounded from below. By explicit construction we find that
quantum bound states can exist in certain bottomless potentials. The classical
dynamics in these potentials is novel. Only a set of zero measure of classical
trajectories can escape to infinity. All other trajectories get trapped as they
get further out into the asymptotic region.
|
[
{
"created": "Mon, 18 Mar 2002 18:26:51 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Vachaspati",
"Tanmay",
""
]
] |
We consider classical and quantum dynamics on potentials that are asymptotically unbounded from below. By explicit construction we find that quantum bound states can exist in certain bottomless potentials. The classical dynamics in these potentials is novel. Only a set of zero measure of classical trajectories can escape to infinity. All other trajectories get trapped as they get further out into the asymptotic region.
|
hep-th/0605283
|
Anke Knauf
|
Anke Knauf
|
Geometric Transitions on non-Kaehler Manifolds
|
127 pages, based on PhD-thesis, v2 some references added, this
version to appear in Fort. Phys
|
Fortsch.Phys.55:5-107,2007
|
10.1002/prop.200610332
|
ZMP-HH/06-08
|
hep-th
| null |
This article is based on the author's PhD--thesis. We study geometric
transitions on the supergravity level using the basic idea of
arXiv:hep-th/0403288, where a pair of non-Kaehler backgrounds was constructed,
which are related by a geometric transition. Here we embed this idea into an
orientifold setup as suggested in arXiv:hep-th/0511099. The non-Kaehler
backgrounds we obtain in type IIA are non-trivially fibered due to their
construction from IIB via T-duality with Neveu-Schwarz flux. We demonstrate
that these non-Kaehler manifolds are not half-flat and show that a symplectic
structure exists on them at least locally.
We also review the construction of new non-Kaehler backgrounds in type I and
heterotic theory as proposed in arXiv:hep-th/0408192. They are found by a
series of T- and S-duality and can be argued to be related by geometric
transitions as well. A local toy model is provided that fulfills the flux
equations of motion in IIB and the torsional relation in heterotic theory, and
that is consistent with the U-duality relating both theories. For the heterotic
theory we also propose a global solution that fulfills the torsional relation
because it is similar to the Maldacena-Nunez background.
|
[
{
"created": "Mon, 29 May 2006 23:12:42 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2006 16:39:35 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Knauf",
"Anke",
""
]
] |
This article is based on the author's PhD--thesis. We study geometric transitions on the supergravity level using the basic idea of arXiv:hep-th/0403288, where a pair of non-Kaehler backgrounds was constructed, which are related by a geometric transition. Here we embed this idea into an orientifold setup as suggested in arXiv:hep-th/0511099. The non-Kaehler backgrounds we obtain in type IIA are non-trivially fibered due to their construction from IIB via T-duality with Neveu-Schwarz flux. We demonstrate that these non-Kaehler manifolds are not half-flat and show that a symplectic structure exists on them at least locally. We also review the construction of new non-Kaehler backgrounds in type I and heterotic theory as proposed in arXiv:hep-th/0408192. They are found by a series of T- and S-duality and can be argued to be related by geometric transitions as well. A local toy model is provided that fulfills the flux equations of motion in IIB and the torsional relation in heterotic theory, and that is consistent with the U-duality relating both theories. For the heterotic theory we also propose a global solution that fulfills the torsional relation because it is similar to the Maldacena-Nunez background.
|
hep-th/0212047
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri, Sergei D. Odintsov, Sachiko Ogushi
|
Logarithmic corrections to the FRW brane cosmology from 5d
Schwarzschild-deSitter black hole
|
LaTeX file 24 pages, expanded version to match with published one
|
Int.J.Mod.Phys.A18:3395-3416,2003
|
10.1142/S0217751X03015301
| null |
hep-th astro-ph
| null |
Thermodynamics of 5d SdS black hole is considered. Thermal fluctuations
define the (sub-dominant) logarithmic corrections to black hole entropy and
then to Cardy-Verlinde formula and to FRW brane cosmology. We demonstrate that
logarithmic terms (which play the role of effective cosmological constant)
change the behavior of 4d spherical brane in dS, SdS or Nariai bulk. In
particularly, bounce Universe occurs or 4d dS brane expands to its maximum and
then shrinks. The entropy bounds are also modified by next-to-leading terms.
Out of braneworld context the logarithmic terms may suggest slight modification
of standard FRW cosmology.
|
[
{
"created": "Wed, 4 Dec 2002 12:36:07 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Feb 2003 05:28:46 GMT",
"version": "v2"
}
] |
2009-09-17
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
],
[
"Ogushi",
"Sachiko",
""
]
] |
Thermodynamics of 5d SdS black hole is considered. Thermal fluctuations define the (sub-dominant) logarithmic corrections to black hole entropy and then to Cardy-Verlinde formula and to FRW brane cosmology. We demonstrate that logarithmic terms (which play the role of effective cosmological constant) change the behavior of 4d spherical brane in dS, SdS or Nariai bulk. In particularly, bounce Universe occurs or 4d dS brane expands to its maximum and then shrinks. The entropy bounds are also modified by next-to-leading terms. Out of braneworld context the logarithmic terms may suggest slight modification of standard FRW cosmology.
|
1309.6562
|
Nemanja Kaloper
|
Nemanja Kaloper, Antonio Padilla
|
Sequestering the Standard Model Vacuum Energy
|
9 pages, latex v2: typos corrected
|
Phys.Rev.Lett. 112 (2014) 091304
|
10.1103/PhysRevLett.112.091304
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a very simple reformulation of General Relativity, which
completely sequesters from gravity {\it all} of the vacuum energy from a matter
sector, including all loop corrections and renders all contributions from phase
transitions automatically small. The idea is to make the dimensional parameters
in the matter sector functionals of the 4-volume element of the universe. For
them to be nonzero, the universe should be finite in spacetime. If this matter
is the Standard Model of particle physics, our mechanism prevents any of its
vacuum energy, classical or quantum, from sourcing the curvature of the
universe. The mechanism is consistent with the large hierarchy between the
Planck scale, electroweak scale and curvature scale, and early universe
cosmology, including inflation. Consequences of our proposal are that the
vacuum curvature of an old and large universe is not zero, but very small, that
$w_{DE} \simeq -1$ is a transient, and that the universe will collapse in the
future.
|
[
{
"created": "Wed, 25 Sep 2013 16:23:44 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Apr 2014 05:58:03 GMT",
"version": "v2"
}
] |
2014-05-01
|
[
[
"Kaloper",
"Nemanja",
""
],
[
"Padilla",
"Antonio",
""
]
] |
We propose a very simple reformulation of General Relativity, which completely sequesters from gravity {\it all} of the vacuum energy from a matter sector, including all loop corrections and renders all contributions from phase transitions automatically small. The idea is to make the dimensional parameters in the matter sector functionals of the 4-volume element of the universe. For them to be nonzero, the universe should be finite in spacetime. If this matter is the Standard Model of particle physics, our mechanism prevents any of its vacuum energy, classical or quantum, from sourcing the curvature of the universe. The mechanism is consistent with the large hierarchy between the Planck scale, electroweak scale and curvature scale, and early universe cosmology, including inflation. Consequences of our proposal are that the vacuum curvature of an old and large universe is not zero, but very small, that $w_{DE} \simeq -1$ is a transient, and that the universe will collapse in the future.
|
1710.03379
|
Hidenori Fukaya
|
Hidenori Fukaya, Tetsuya Onogi, Satoshi Yamaguchi
|
Atiyah-Patodi-Singer index from the domain-wall fermion Dirac operator
|
43pages, 1 figure, relation to anomaly descent equations added in the
conclusions, references added, version published in PRD
|
Phys. Rev. D 96, 125004 (2017)
|
10.1103/PhysRevD.96.125004
|
OU-HET-946
|
hep-th cond-mat.other hep-lat hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The Atiyah-Patodi-Singer(APS) index theorem attracts attention for
understanding physics on the surface of materials in topological phases. The
mathematical set-up for this theorem is, however, not directly related to the
physical fermion system, as it imposes on the fermion fields a non-local
boundary condition known as the "APS boundary condition" by hand, which is
unlikely to be realized in the materials. In this work, we attempt to
reformulate the APS index in a "physicist-friendly" way for a simple set-up
with $U(1)$ or $SU(N)$ gauge group on a flat four-dimensional Euclidean space.
We find that the same index as APS is obtained from the domain-wall fermion
Dirac operator with a local boundary condition, which is naturally given by the
kink structure in the mass term. As the boundary condition does not depend on
the gauge fields, our new definition of the index is easy to compute with the
standard Fujikawa method.
|
[
{
"created": "Tue, 10 Oct 2017 02:21:20 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Jan 2018 06:11:26 GMT",
"version": "v2"
}
] |
2018-01-12
|
[
[
"Fukaya",
"Hidenori",
""
],
[
"Onogi",
"Tetsuya",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] |
The Atiyah-Patodi-Singer(APS) index theorem attracts attention for understanding physics on the surface of materials in topological phases. The mathematical set-up for this theorem is, however, not directly related to the physical fermion system, as it imposes on the fermion fields a non-local boundary condition known as the "APS boundary condition" by hand, which is unlikely to be realized in the materials. In this work, we attempt to reformulate the APS index in a "physicist-friendly" way for a simple set-up with $U(1)$ or $SU(N)$ gauge group on a flat four-dimensional Euclidean space. We find that the same index as APS is obtained from the domain-wall fermion Dirac operator with a local boundary condition, which is naturally given by the kink structure in the mass term. As the boundary condition does not depend on the gauge fields, our new definition of the index is easy to compute with the standard Fujikawa method.
|
2004.14903
|
Carlo Iazeolla
|
Carlo Iazeolla
|
On boundary conditions and spacetime/fibre duality in Vasiliev's
higher-spin gravity
|
53 pages. Contribution to the proceedings of the Corfu Summer
Institute 2019 "School and Workshops on Elementary Particle Physics and
Gravity" (CORFU2019), 31 August - 25 September 2019, Corfu, Greece
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
This paper discusses some aspects of the Vasiliev system, beginning with a
review of a recent proposal for an alternative perturbative scheme: solutions
are built by means of a convenient choice of homotopy-contraction operator and
subjected to asymptotically anti-de Sitter boundary conditions by
perturbatively adjusting a gauge function and integration constants. At linear
level the latter are fibre elements that encode, via unfolded equations,
propagating massless fields of any spin. Therefore, linearized solution spaces,
distinguished by their spacetime properties (regularity and boundary
conditions), have parallels in the fibre. The traditional separation of
different branches of linearized solutions via their spacetime features is
reviewed, and their dual fibre characterization, as well as the arrangement of
the corresponding fibre elements into AdS irreps, is illustrated. This
construction is first reviewed for regular and singular solutions in compact
basis, thereby capturing massless particles and static higher-spin black holes,
and then extended to solutions in conformal basis, capturing bulk-to-boundary
propagators and certain singular solutions with vanishing scaling dimension,
related to boundary Green's functions. The non-unitary transformation between
the two bases is recalled at the level of their fibre representatives.
|
[
{
"created": "Thu, 30 Apr 2020 16:02:33 GMT",
"version": "v1"
}
] |
2020-05-01
|
[
[
"Iazeolla",
"Carlo",
""
]
] |
This paper discusses some aspects of the Vasiliev system, beginning with a review of a recent proposal for an alternative perturbative scheme: solutions are built by means of a convenient choice of homotopy-contraction operator and subjected to asymptotically anti-de Sitter boundary conditions by perturbatively adjusting a gauge function and integration constants. At linear level the latter are fibre elements that encode, via unfolded equations, propagating massless fields of any spin. Therefore, linearized solution spaces, distinguished by their spacetime properties (regularity and boundary conditions), have parallels in the fibre. The traditional separation of different branches of linearized solutions via their spacetime features is reviewed, and their dual fibre characterization, as well as the arrangement of the corresponding fibre elements into AdS irreps, is illustrated. This construction is first reviewed for regular and singular solutions in compact basis, thereby capturing massless particles and static higher-spin black holes, and then extended to solutions in conformal basis, capturing bulk-to-boundary propagators and certain singular solutions with vanishing scaling dimension, related to boundary Green's functions. The non-unitary transformation between the two bases is recalled at the level of their fibre representatives.
|
hep-th/9303097
|
Yves Leroyer
|
Yves Leroyer
|
Intermittency in the q-State Potts Model
|
10 pages (Latex) 3 postcript figures included, Preprint LPTB93_2,
Bordeaux University
| null | null | null |
hep-th
| null |
We define a block observable for the $q$-state Potts model which exhibits an
intermittent behaviour at the critical point. We express the intermittency
indices of the normalised moments in terms of the magnetic critical exponent
$\beta /\nu$ of the model. We confirm this relation by a numerical similation
of the $q=2$ (Ising) and $q=3$ two-dimensional Potts model.
|
[
{
"created": "Wed, 17 Mar 1993 12:26:00 GMT",
"version": "v1"
}
] |
2009-09-25
|
[
[
"Leroyer",
"Yves",
""
]
] |
We define a block observable for the $q$-state Potts model which exhibits an intermittent behaviour at the critical point. We express the intermittency indices of the normalised moments in terms of the magnetic critical exponent $\beta /\nu$ of the model. We confirm this relation by a numerical similation of the $q=2$ (Ising) and $q=3$ two-dimensional Potts model.
|
0906.0013
|
Timo Weigand
|
Ralph Blumenhagen, Thomas W. Grimm, Benjamin Jurke, Timo Weigand
|
F-theory uplifts and GUTs
|
28 pages, 5 tables; v2: typos removed, minor corrections
|
JHEP 0909:053,2009
|
10.1088/1126-6708/2009/09/053
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the F-theory uplift of Type IIB orientifold models on compact
Calabi-Yau threefolds containing divisors which are del Pezzo surfaces. We
consider two examples defined via del Pezzo transitions of the quintic. The
first model has an orientifold projection leading to two disjoint O7-planes and
the second involution acts via an exchange of two del Pezzo surfaces. The two
uplifted fourfolds are generically singular with minimal gauge enhancements
over a divisor and, respectively, a curve in the non-Fano base. We study
possible further degenerations of the elliptic fiber leading to F-theory GUT
models based on subgroups of E8.
|
[
{
"created": "Mon, 1 Jun 2009 19:28:33 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Aug 2009 19:21:31 GMT",
"version": "v2"
}
] |
2009-09-28
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Grimm",
"Thomas W.",
""
],
[
"Jurke",
"Benjamin",
""
],
[
"Weigand",
"Timo",
""
]
] |
We study the F-theory uplift of Type IIB orientifold models on compact Calabi-Yau threefolds containing divisors which are del Pezzo surfaces. We consider two examples defined via del Pezzo transitions of the quintic. The first model has an orientifold projection leading to two disjoint O7-planes and the second involution acts via an exchange of two del Pezzo surfaces. The two uplifted fourfolds are generically singular with minimal gauge enhancements over a divisor and, respectively, a curve in the non-Fano base. We study possible further degenerations of the elliptic fiber leading to F-theory GUT models based on subgroups of E8.
|
1403.4199
|
Eduardo Guendelman I
|
Eduardo I. Guendelman, Hitoshi Nishino and Subhash Rajpoot
|
Scale Symmetry Breaking From Total Derivative Densities and the
Cosmological Constant Problem
|
Accepted for Publication in Physics Letters B, 15 pages
| null |
10.1016/j.physletb.2014.03.032
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The use in the action integral of totally divergent densities in generally
coordinate invariant theories can lead to interesting mechanisms of spontaneous
symmetry breaking of scale invariance. With dependence in the action on a
metric independent density $\Phi$, in $4D$ , we can define $\Phi
=\varepsilon^{\mu\nu\alpha\beta}\partial_{\mu}A_{\nu\alpha\beta}$ that gives a
new interesting mechanism for breaking scale symmetry in 4-D theories of
gravity plus matter fields, through the $A_{\nu\alpha\beta}$ equations of
motion which lead to an integration constant the breaks the scale symmetry,
while introducing terms of the form $eG ln K$ , $e$ being the determinant of
the vierbein, $G$ being the Gauss Bonnet scalar and $K$ being scalar functions
of the fields transforming like $K \rightarrow cK $ (where c is a constant)
under a scale transformation. Such a term is invariant only up to a total
divergence and therefore leads to breaking of scale invariance due to
gravitational instantons. The topological density constructed out of gauge
field strengths $\varepsilon^{\mu\nu\alpha\beta}F^a_{\mu\nu}F^a_{\alpha\beta}$
can be coupled to the dilaton field linearly to produce a scale invariant term
up to a total divergence. The scale symmetry can be broken by Yang Mills
instantons which lead to a very small vacuum energy for our Universe.
|
[
{
"created": "Mon, 17 Mar 2014 18:30:58 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Guendelman",
"Eduardo I.",
""
],
[
"Nishino",
"Hitoshi",
""
],
[
"Rajpoot",
"Subhash",
""
]
] |
The use in the action integral of totally divergent densities in generally coordinate invariant theories can lead to interesting mechanisms of spontaneous symmetry breaking of scale invariance. With dependence in the action on a metric independent density $\Phi$, in $4D$ , we can define $\Phi =\varepsilon^{\mu\nu\alpha\beta}\partial_{\mu}A_{\nu\alpha\beta}$ that gives a new interesting mechanism for breaking scale symmetry in 4-D theories of gravity plus matter fields, through the $A_{\nu\alpha\beta}$ equations of motion which lead to an integration constant the breaks the scale symmetry, while introducing terms of the form $eG ln K$ , $e$ being the determinant of the vierbein, $G$ being the Gauss Bonnet scalar and $K$ being scalar functions of the fields transforming like $K \rightarrow cK $ (where c is a constant) under a scale transformation. Such a term is invariant only up to a total divergence and therefore leads to breaking of scale invariance due to gravitational instantons. The topological density constructed out of gauge field strengths $\varepsilon^{\mu\nu\alpha\beta}F^a_{\mu\nu}F^a_{\alpha\beta}$ can be coupled to the dilaton field linearly to produce a scale invariant term up to a total divergence. The scale symmetry can be broken by Yang Mills instantons which lead to a very small vacuum energy for our Universe.
|
0905.3522
|
Dr. H. F. Jones
|
H. F. Jones and R. J. Rivers
|
Which Green Functions Does the Path Integral for Quasi-Hermitian
Hamiltonians Represent?
| null | null |
10.1016/j.physleta.2009.07.034
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of quasi-Hermitian theories, which are non-Hermitian in the
conventional sense, but can be made Hermitian by the introduction of a
dynamically-determined metric $\eta$, we address the problem of how the
functional integral and the Feynman diagrams deduced therefrom "know" about the
metric. Our investigation is triggered by a result of Bender, Chen and Milton,
who calculated perturbatively the one-point function $G_1$ for the quantum
Hamiltonian $H=\half(p^2+x^2)+igx^3$. It turns out that this calculation indeed
corresponds to an expectation value in the ground state evaluated with the
$\eta$ metric. The resolution of the problem turns out be that, although there
is no explicit mention of the metric in the path integral or Feynman diagrams,
their derivation is based fundamentally on the Heisenberg equations of motion,
which only take their standard form when matrix elements are evaluated with the
inclusion of $\eta$.
|
[
{
"created": "Thu, 21 May 2009 16:09:23 GMT",
"version": "v1"
}
] |
2015-05-13
|
[
[
"Jones",
"H. F.",
""
],
[
"Rivers",
"R. J.",
""
]
] |
In the context of quasi-Hermitian theories, which are non-Hermitian in the conventional sense, but can be made Hermitian by the introduction of a dynamically-determined metric $\eta$, we address the problem of how the functional integral and the Feynman diagrams deduced therefrom "know" about the metric. Our investigation is triggered by a result of Bender, Chen and Milton, who calculated perturbatively the one-point function $G_1$ for the quantum Hamiltonian $H=\half(p^2+x^2)+igx^3$. It turns out that this calculation indeed corresponds to an expectation value in the ground state evaluated with the $\eta$ metric. The resolution of the problem turns out be that, although there is no explicit mention of the metric in the path integral or Feynman diagrams, their derivation is based fundamentally on the Heisenberg equations of motion, which only take their standard form when matrix elements are evaluated with the inclusion of $\eta$.
|
hep-th/9902186
|
Arjan Keurentjes
|
Arjan Keurentjes
|
Non-trivial flat connections on the 3-torus II: The exceptional groups
F_4 and E_6,7,8
|
LaTeX, 25 pages, 1 figure
|
JHEP 9905 (1999) 014
|
10.1088/1126-6708/1999/05/014
|
INLO-PUB-5/99
|
hep-th
| null |
We continue the construction of non-trivial vacua for gauge theories on the
3-torus, started in hep-th/9901154. Application of constructions based on twist
in SU(N) with N > 2 produce more extra vacua in theories with exceptional
groups. We calculate the relevant unbroken subgroups, and their contribution to
the Witten index. We show that the extra vacua we find in the exceptional
groups are sufficient to solve the Witten index problem for these groups.
|
[
{
"created": "Thu, 25 Feb 1999 14:41:10 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Keurentjes",
"Arjan",
""
]
] |
We continue the construction of non-trivial vacua for gauge theories on the 3-torus, started in hep-th/9901154. Application of constructions based on twist in SU(N) with N > 2 produce more extra vacua in theories with exceptional groups. We calculate the relevant unbroken subgroups, and their contribution to the Witten index. We show that the extra vacua we find in the exceptional groups are sufficient to solve the Witten index problem for these groups.
|
2301.08676
|
Riccarda Bonsignori
|
Riccarda Bonsignori, Luca Capizzi and Pantelis Panopoulos
|
Boundary Symmetry Breaking in CFT and the String Order Parameter
|
24 pages, 4 figures
| null |
10.1007/JHEP05(2023)027
| null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the ground state of a one-dimensional critical quantum system
carrying a global symmetry in the bulk, which is explicitly broken by its
boundary conditions. We probe the system via a string-order parameter, showing
how it detects the symmetry breaking pattern. We give a precise
characterization of the mechanism depicted above in Boundary CFT, and we find a
general logarithmic scaling for the order parameter. As a first example we
analyze the breaking of a $U(1)$ symmetry for complex free theories induced by
a boundary pairing term. Moreover, we give predictions for the breaking of
$U(N)$ in free theories, arising from a boundary mixing. We test our
predictions with numerical calculations for some lattice realizations of free
fermionic system with boundary symmetry breaking, finding a good agreement.
|
[
{
"created": "Fri, 20 Jan 2023 17:01:20 GMT",
"version": "v1"
}
] |
2023-05-24
|
[
[
"Bonsignori",
"Riccarda",
""
],
[
"Capizzi",
"Luca",
""
],
[
"Panopoulos",
"Pantelis",
""
]
] |
We consider the ground state of a one-dimensional critical quantum system carrying a global symmetry in the bulk, which is explicitly broken by its boundary conditions. We probe the system via a string-order parameter, showing how it detects the symmetry breaking pattern. We give a precise characterization of the mechanism depicted above in Boundary CFT, and we find a general logarithmic scaling for the order parameter. As a first example we analyze the breaking of a $U(1)$ symmetry for complex free theories induced by a boundary pairing term. Moreover, we give predictions for the breaking of $U(N)$ in free theories, arising from a boundary mixing. We test our predictions with numerical calculations for some lattice realizations of free fermionic system with boundary symmetry breaking, finding a good agreement.
|
hep-th/0209046
|
Fabio Zwirner
|
Carla Biggio (1), Ferruccio Feruglio (1), Andrea Wulzer (2) and Fabio
Zwirner (2) ((1) Univ. and INFN, Padua, Italy, (2) Univ. and INFN, Rome La
Sapienza, Italy)
|
Equivalent effective Lagrangians for Scherk-Schwarz compactifications
|
17 pages, 3 figures. Published version
|
JHEP 0211 (2002) 013
|
10.1088/1126-6708/2002/11/013
|
DFPD-02/TH/20, ROME1-1339/02
|
hep-th hep-ph
| null |
We discuss the general form of the mass terms that can appear in the
effective field theories of coordinate-dependent compactifications a la
Scherk-Schwarz. As an illustrative example, we consider an interacting
five-dimensional theory compactified on the orbifold S^1/Z_2, with a fermion
subject to twisted periodicity conditions. We show how the same physics can be
described by equivalent effective Lagrangians for periodic fields, related by
field redefinitions and differing only in the form of the five-dimensional mass
terms. In a suitable limit, these mass terms can be localized at the orbifold
fixed points. We also show how to reconstruct the twist parameter from any
given mass terms of the allowed form. Finally, after mentioning some possible
generalizations of our results, we re-discuss the example of brane-induced
supersymmetry breaking in five-dimensional Poincare' supergravity, and comment
on its relation with gaugino condensation in M-theory.
|
[
{
"created": "Thu, 5 Sep 2002 16:16:00 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2002 10:44:17 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Biggio",
"Carla",
""
],
[
"Feruglio",
"Ferruccio",
""
],
[
"Wulzer",
"Andrea",
""
],
[
"Zwirner",
"Fabio",
""
]
] |
We discuss the general form of the mass terms that can appear in the effective field theories of coordinate-dependent compactifications a la Scherk-Schwarz. As an illustrative example, we consider an interacting five-dimensional theory compactified on the orbifold S^1/Z_2, with a fermion subject to twisted periodicity conditions. We show how the same physics can be described by equivalent effective Lagrangians for periodic fields, related by field redefinitions and differing only in the form of the five-dimensional mass terms. In a suitable limit, these mass terms can be localized at the orbifold fixed points. We also show how to reconstruct the twist parameter from any given mass terms of the allowed form. Finally, after mentioning some possible generalizations of our results, we re-discuss the example of brane-induced supersymmetry breaking in five-dimensional Poincare' supergravity, and comment on its relation with gaugino condensation in M-theory.
|
hep-th/9611091
|
Lises Ifa
|
Sergiu I. Vacaru
|
Field Interactions and Strings in Higher Order Anisotropic Spaces
|
119 pages, revtex, latex figures, review submitted to "Hadr.J."
|
Sergiu Vacaru: Interactions, Strings, and Isotopies in Higher
Order Anisotropic Superspaces (Hadronic Press, Palm Harbor, USA, 1998), pp.
201-314
| null | null |
hep-th dg-ga gr-qc math.DG
| null |
We present a geometric approach to the field theory with higher order
anisotropic interactions. The concepts of higher order space, or locally
anisotropic, space (in brief, h-space, or la-space) are introduced as general
ones for various types of higher order extensions of Lagrange and Finsler
geometry and higher dimension (Kaluza-Klein type) spaces. The spinors on
h-spaces are defined in the framework of the geometry of Clifford bundles
provided with compatible nonlinear and distinguished connections and metric
structures (d-connection and d-metric). There are discussed some related issues
connected with the geometric aspects of higher order anisotropc interactions
for gravitational, gauge, spinor, Dirac spinor and Proca fields. The nearly
autoparallel maps are introduced as maps with deformation of connections
extending the class of geodesic and conformal transforms. We propose two
variants of solution of the problem of definition of conservation laws on
h-spaces. A general background of the theory of field interactions and strings
in spaces with higher order anisotropy is fromulated. The conditions for
consistent propagation of closed strings in higher order anisotropic background
spaces are analyzed. The connection between the conformal invariance, the
vanishing of the renormalization group beta-function of the generalized
sigma-model and field equations of higher order anisotropic gravity are studied
in detail.
|
[
{
"created": "Sat, 9 Nov 1996 17:04:16 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Vacaru",
"Sergiu I.",
""
]
] |
We present a geometric approach to the field theory with higher order anisotropic interactions. The concepts of higher order space, or locally anisotropic, space (in brief, h-space, or la-space) are introduced as general ones for various types of higher order extensions of Lagrange and Finsler geometry and higher dimension (Kaluza-Klein type) spaces. The spinors on h-spaces are defined in the framework of the geometry of Clifford bundles provided with compatible nonlinear and distinguished connections and metric structures (d-connection and d-metric). There are discussed some related issues connected with the geometric aspects of higher order anisotropc interactions for gravitational, gauge, spinor, Dirac spinor and Proca fields. The nearly autoparallel maps are introduced as maps with deformation of connections extending the class of geodesic and conformal transforms. We propose two variants of solution of the problem of definition of conservation laws on h-spaces. A general background of the theory of field interactions and strings in spaces with higher order anisotropy is fromulated. The conditions for consistent propagation of closed strings in higher order anisotropic background spaces are analyzed. The connection between the conformal invariance, the vanishing of the renormalization group beta-function of the generalized sigma-model and field equations of higher order anisotropic gravity are studied in detail.
|
1408.4798
|
Ben Michel
|
Fang Chen, Ben Michel, Joseph Polchinski, Andrea Puhm
|
Journey to the Center of the Fuzzball
|
22 pages, 1 figure
| null |
10.1007/JHEP02(2015)081
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study two-charge fuzzball geometries, with attention to the use of the
proper duality frame. For zero angular momentum there is an onion-like
structure, and the smooth D1-D5 geometries are not valid for typical states.
Rather, they are best approximated by geometries with stringy sources, or by a
free CFT. For non-zero angular momentum we find a regime where smooth fuzzball
solutions are the correct description. Our analysis rests on the comparison of
three radii: the typical fuzzball radius, the entropy radius determined by the
microscopic theory, and the breakdown radius where the curvature becomes large.
We attempt to draw more general lessons.
|
[
{
"created": "Wed, 20 Aug 2014 20:00:02 GMT",
"version": "v1"
}
] |
2015-06-22
|
[
[
"Chen",
"Fang",
""
],
[
"Michel",
"Ben",
""
],
[
"Polchinski",
"Joseph",
""
],
[
"Puhm",
"Andrea",
""
]
] |
We study two-charge fuzzball geometries, with attention to the use of the proper duality frame. For zero angular momentum there is an onion-like structure, and the smooth D1-D5 geometries are not valid for typical states. Rather, they are best approximated by geometries with stringy sources, or by a free CFT. For non-zero angular momentum we find a regime where smooth fuzzball solutions are the correct description. Our analysis rests on the comparison of three radii: the typical fuzzball radius, the entropy radius determined by the microscopic theory, and the breakdown radius where the curvature becomes large. We attempt to draw more general lessons.
|
hep-th/0202114
|
Silvio Paolo Sorella
|
V.E.R. Lemes, M. Picariello, M.S. Sarandy and S.P. Sorella
|
Remarks on the BRST Cohomology of Supersymmetric Gauge Theories
|
1+11 pages, LaTeX2e
|
J.Phys.A35:3703-3710,2002
|
10.1088/0305-4470/35/16/309
|
IFUM 704/FT
|
hep-th
| null |
The supersymmetric version of the descent equations following from the
Wess-Zumino consistency condition is discussed. A systematic framework in order
to solve them is proposed.
|
[
{
"created": "Mon, 18 Feb 2002 18:24:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Lemes",
"V. E. R.",
""
],
[
"Picariello",
"M.",
""
],
[
"Sarandy",
"M. S.",
""
],
[
"Sorella",
"S. P.",
""
]
] |
The supersymmetric version of the descent equations following from the Wess-Zumino consistency condition is discussed. A systematic framework in order to solve them is proposed.
|
2406.12826
|
William Barker Dr
|
Will Barker, Michael Hobson, Anthony Lasenby, Yun-Cherng Lin and
Zhiyuan Wei
|
Every Poincar\'e gauge theory is conformal: a compelling case for
dynamical vector torsion
|
21 pages, 11 figures, comments welcome!
| null | null | null |
hep-th gr-qc hep-ph
|
http://creativecommons.org/licenses/by/4.0/
|
The Poincar\'e gauge theory (PGT) of gravity provides a viable formulation of
general relativity (Einstein-Cartan theory), and a popular model-building
framework for modified gravity with torsion. Notoriously, however, the PGT
terms which propagate vector torsion lead to strongly-coupled ghosts: the
modern view is that only scalar torsion can propagate. To fix this, we revisit
the concept of embedding explicit mass scales in scale-invariant theories,
showing how the Klein-Gordon theory naturally leads to a slowly-rolling
inflaton. We then show that the unique scale-invariant embedding of PGT leads
to two new terms, one of which is the Maxwell term for vector torsion. We
provide the full spectrum of quantum particles in the resulting theory. Our
result means that every PGT is conformal and - after a two-decade hiatus -
vector torsion is back on the menu.
|
[
{
"created": "Tue, 18 Jun 2024 17:50:09 GMT",
"version": "v1"
}
] |
2024-06-19
|
[
[
"Barker",
"Will",
""
],
[
"Hobson",
"Michael",
""
],
[
"Lasenby",
"Anthony",
""
],
[
"Lin",
"Yun-Cherng",
""
],
[
"Wei",
"Zhiyuan",
""
]
] |
The Poincar\'e gauge theory (PGT) of gravity provides a viable formulation of general relativity (Einstein-Cartan theory), and a popular model-building framework for modified gravity with torsion. Notoriously, however, the PGT terms which propagate vector torsion lead to strongly-coupled ghosts: the modern view is that only scalar torsion can propagate. To fix this, we revisit the concept of embedding explicit mass scales in scale-invariant theories, showing how the Klein-Gordon theory naturally leads to a slowly-rolling inflaton. We then show that the unique scale-invariant embedding of PGT leads to two new terms, one of which is the Maxwell term for vector torsion. We provide the full spectrum of quantum particles in the resulting theory. Our result means that every PGT is conformal and - after a two-decade hiatus - vector torsion is back on the menu.
|
2006.10867
|
Ichiro Oda
|
Ichiro Oda
|
Higgs Potential from Weyl Conformal Gravity
|
18 pages
| null |
10.1142/S0217732320503046
|
DPUR/TH/69
|
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider Weyl's conformal gravity coupled to a complex matter field in
Weyl geometry. It is shown that a Higgs potential naturally arises from a
$\tilde R^2$ term in moving from the Jordan frame to the Einstein frame. A
massless Nambu-Goldstone boson, which stems from spontaneous symmetry breakdown
of the Weyl gauge invariance, is absorbed into the Weyl gauge field, thereby
the gauge field becoming massive. We present a model where the gravitational
interaction generates a Higgs potential whose form is a perfect square.
Finally, we show that a theory in the Jordan frame is gauge-equivalent to the
corresponding theory in the Einstein frame via the BRST formalism.
|
[
{
"created": "Thu, 18 Jun 2020 21:43:52 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Oda",
"Ichiro",
""
]
] |
We consider Weyl's conformal gravity coupled to a complex matter field in Weyl geometry. It is shown that a Higgs potential naturally arises from a $\tilde R^2$ term in moving from the Jordan frame to the Einstein frame. A massless Nambu-Goldstone boson, which stems from spontaneous symmetry breakdown of the Weyl gauge invariance, is absorbed into the Weyl gauge field, thereby the gauge field becoming massive. We present a model where the gravitational interaction generates a Higgs potential whose form is a perfect square. Finally, we show that a theory in the Jordan frame is gauge-equivalent to the corresponding theory in the Einstein frame via the BRST formalism.
|
hep-th/0101097
|
Jin-Mo Chung
|
J.-M. Chung and B. K. Chung
|
Induced Lorentz- and CPT-violating Chern-Simons term in QED:
Fock-Schwinger proper time method
|
11 pages, no figure
|
Phys.Rev. D63 (2001) 105015
|
10.1103/PhysRevD.63.105015
| null |
hep-th
| null |
Using the Fock-Schwinger proper time method, we calculate the induced
Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum
electrodynamics with a $b_\mu \bar{\psi}\gamma^\mu \gamma_5 \psi$ term. Our
result to all orders in $b$ coincides with a recent linear-in-$b$ calculation
by Chaichian et al. [hep-th/0010129 v2]. The coincidence was pointed out by
Chung [Phys. Lett. {\bf B461} (1999) 138] and P\'{e}rez-Victoria [Phys. Rev.
Lett. {\bf 83} (1999) 2518] in the standard Feynman diagram calculation with
the nonperturbative-in-$b$ propagator.
|
[
{
"created": "Tue, 16 Jan 2001 03:24:35 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Chung",
"J. -M.",
""
],
[
"Chung",
"B. K.",
""
]
] |
Using the Fock-Schwinger proper time method, we calculate the induced Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu \bar{\psi}\gamma^\mu \gamma_5 \psi$ term. Our result to all orders in $b$ coincides with a recent linear-in-$b$ calculation by Chaichian et al. [hep-th/0010129 v2]. The coincidence was pointed out by Chung [Phys. Lett. {\bf B461} (1999) 138] and P\'{e}rez-Victoria [Phys. Rev. Lett. {\bf 83} (1999) 2518] in the standard Feynman diagram calculation with the nonperturbative-in-$b$ propagator.
|
hep-th/0102063
|
Kluson Josef
|
J. Kluson
|
D-Branes from N D(-1)-Branes in Bosonic and Type IIA String Theory
|
20 pages
|
JHEP 0103:018,2001
|
10.1088/1126-6708/2001/03/018
| null |
hep-th
| null |
In this paper we would like to discuss the emergence of D-branes from
infinite many D-instantons in bosonic and type IIA string theory in the
framework of boundary string field theory.
|
[
{
"created": "Tue, 13 Feb 2001 07:39:38 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we would like to discuss the emergence of D-branes from infinite many D-instantons in bosonic and type IIA string theory in the framework of boundary string field theory.
|
1501.00998
|
I-Sheng Yang
|
I-Sheng Yang
|
The missing top of AdS resonance structure
|
12 pages, no figures, version 2 that mutes "showkeys" correctly and
added one reference
|
Phys. Rev. D 91, 065011 (2015)
|
10.1103/PhysRevD.91.065011
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study a massless scalar field in AdS_{d+1} with a nonlinear coupling
\phi^N and not limited to spherical symmetry. The free-field-eigenstate
spectrum is strongly resonant, and it is commonly believed that the nonlinear
coupling leads to energy transfer between eigenstates. We prove that when $Nd$
is even, the most efficient resonant channels to transfer energy are always
absent. In particular, for N=3 this means no energy transfer at all. For N=4,
this effectively kills half of the channels, leading to the same set of extra
conservation laws recently derived for gravitational interactions within
spherical symmetry.
|
[
{
"created": "Mon, 5 Jan 2015 21:02:40 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jan 2015 14:35:47 GMT",
"version": "v2"
}
] |
2015-03-18
|
[
[
"Yang",
"I-Sheng",
""
]
] |
We study a massless scalar field in AdS_{d+1} with a nonlinear coupling \phi^N and not limited to spherical symmetry. The free-field-eigenstate spectrum is strongly resonant, and it is commonly believed that the nonlinear coupling leads to energy transfer between eigenstates. We prove that when $Nd$ is even, the most efficient resonant channels to transfer energy are always absent. In particular, for N=3 this means no energy transfer at all. For N=4, this effectively kills half of the channels, leading to the same set of extra conservation laws recently derived for gravitational interactions within spherical symmetry.
|
1801.01129
|
Noppadol Mekareeya
|
Amihay Hanany and Noppadol Mekareeya
|
The Small $E_8$ Instanton and the Kraft Procesi Transition
|
23 pages. Version 3: section 4 added, typos corrected, published in
JHEP
| null |
10.1007/JHEP07(2018)098
|
IMPERIAL-TP-18-AH-01
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
One of the simplest $(1,0)$ supersymmetric theories in six dimensions lives
on the world volume of one M5 brane at a $D$ type singularity
$\mathbb{C}^2/D_k$. The low energy theory is given by an SQCD theory with
$Sp(k-4)$ gauge group, a precise number of $2k$ flavors which is anomaly free,
and a scale which is set by the inverse gauge coupling. The Higgs branch at
finite coupling $\mathcal{H}_f$ is a closure of a nilpotent orbit of $D_{2k}$
and develops many more flat directions as the inverse gauge coupling is set to
zero (violating a standard lore that wrongly claims the Higgs branch remains
classical). The quaternionic dimension grows by $29$ for any $k$ and the Higgs
branch stops being a closure of a nilpotent orbit for $k>4$, with an exception
of $k=4$ where it becomes $\overline{{\rm min}_{E_8}}$, the closure of the
minimal nilpotent orbit of $E_8$, thus having a rare phenomenon of flavor
symmetry enhancement in six dimensions. Geometrically, the natural inclusion of
$\mathcal{H}_f \subset \mathcal{H}_{\infty}$ fits into the Brieskorn Slodowy
theory of transverse slices, and the transverse slice is computed to be
$\overline{{\rm min}_{E_8}}$ for any $k>3$. This is identified with the well
known small $E_8$ instanton transition where 1 tensor multiplet is traded with
29 hypermultiplets, thus giving a physical interpretation to the geometric
theory. By the analogy with the classical case, we call this the Kraft Procesi
transition.
|
[
{
"created": "Wed, 3 Jan 2018 19:00:03 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Apr 2018 01:09:32 GMT",
"version": "v2"
},
{
"created": "Fri, 6 Jul 2018 07:42:42 GMT",
"version": "v3"
}
] |
2018-08-15
|
[
[
"Hanany",
"Amihay",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] |
One of the simplest $(1,0)$ supersymmetric theories in six dimensions lives on the world volume of one M5 brane at a $D$ type singularity $\mathbb{C}^2/D_k$. The low energy theory is given by an SQCD theory with $Sp(k-4)$ gauge group, a precise number of $2k$ flavors which is anomaly free, and a scale which is set by the inverse gauge coupling. The Higgs branch at finite coupling $\mathcal{H}_f$ is a closure of a nilpotent orbit of $D_{2k}$ and develops many more flat directions as the inverse gauge coupling is set to zero (violating a standard lore that wrongly claims the Higgs branch remains classical). The quaternionic dimension grows by $29$ for any $k$ and the Higgs branch stops being a closure of a nilpotent orbit for $k>4$, with an exception of $k=4$ where it becomes $\overline{{\rm min}_{E_8}}$, the closure of the minimal nilpotent orbit of $E_8$, thus having a rare phenomenon of flavor symmetry enhancement in six dimensions. Geometrically, the natural inclusion of $\mathcal{H}_f \subset \mathcal{H}_{\infty}$ fits into the Brieskorn Slodowy theory of transverse slices, and the transverse slice is computed to be $\overline{{\rm min}_{E_8}}$ for any $k>3$. This is identified with the well known small $E_8$ instanton transition where 1 tensor multiplet is traded with 29 hypermultiplets, thus giving a physical interpretation to the geometric theory. By the analogy with the classical case, we call this the Kraft Procesi transition.
|
hep-th/0512229
|
Stoytcho Yazadjiev
|
Stoytcho S. Yazadjiev
|
Generating dyonic solutions in 5D Einstein-dilaton gravity with
antisymmetric forms and dyonic black rings
|
14 pages, LaTeX; v2 references and comments added, typos corrected;
v3 title changed, comments and references added; PRD
|
Phys.Rev.D73:124032,2006
|
10.1103/PhysRevD.73.124032
| null |
hep-th
| null |
We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms.
Assuming staticity and a restriction on the dilaton coupling parameters, we
derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times
SL(2,R)/SO(1,1)$. On this basis, using the symmetries of the target space, we
develop a solution generating technique and employ it to construct new
asymptotically flat and non-flat dyonic black rings solutions. The solutions
are analyzed and the basic physical quantities are calculated.
|
[
{
"created": "Mon, 19 Dec 2005 09:55:08 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Jan 2006 08:48:07 GMT",
"version": "v2"
},
{
"created": "Mon, 12 Jun 2006 09:08:33 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Yazadjiev",
"Stoytcho S.",
""
]
] |
We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms. Assuming staticity and a restriction on the dilaton coupling parameters, we derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times SL(2,R)/SO(1,1)$. On this basis, using the symmetries of the target space, we develop a solution generating technique and employ it to construct new asymptotically flat and non-flat dyonic black rings solutions. The solutions are analyzed and the basic physical quantities are calculated.
|
0808.0514
|
Joel Thorarinson
|
Marcelo Gleiser, Joel Thorarinson
|
A Class of Nonperturbative Configurations in Abelian-Higgs Models:
Complexity from Dynamical Symmetry Breaking
|
21 pages, 19 figures, prd, revtex
|
Phys.Rev.D79:025016,2009
|
10.1103/PhysRevD.79.025016
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a numerical investigation of the dynamics of symmetry breaking in
both Abelian and non-Abelian $[S U (2)]$ Higgs models in three spatial
dimensions. We find a class of time-dependent, long-lived nonperturbative field
configurations within the range of parameters corresponding to type-1
superconductors, that is, with vector masses ($m_v$) larger than scalar masses
($m_s$). We argue that these emergent nontopological configurations are related
to oscillons found previously in other contexts. For the Abelian-Higgs model,
our lattice implementation allows us to map the range of parameter space -- the
values of $\beta = (m_s /m_v)^2$ -- where such configurations exist and to
follow them for times $t \sim \O(10^5) m^{-1}$. An investigation of their
properties for $\hat z$-symmetric models reveals an enormously rich structure
of resonances and mode-mode oscillations reminiscent of excited atomic states.
For the SU(2) case, we present preliminary results indicating the presence of
similar oscillonic configurations.
|
[
{
"created": "Mon, 4 Aug 2008 21:28:55 GMT",
"version": "v1"
}
] |
2009-02-26
|
[
[
"Gleiser",
"Marcelo",
""
],
[
"Thorarinson",
"Joel",
""
]
] |
We present a numerical investigation of the dynamics of symmetry breaking in both Abelian and non-Abelian $[S U (2)]$ Higgs models in three spatial dimensions. We find a class of time-dependent, long-lived nonperturbative field configurations within the range of parameters corresponding to type-1 superconductors, that is, with vector masses ($m_v$) larger than scalar masses ($m_s$). We argue that these emergent nontopological configurations are related to oscillons found previously in other contexts. For the Abelian-Higgs model, our lattice implementation allows us to map the range of parameter space -- the values of $\beta = (m_s /m_v)^2$ -- where such configurations exist and to follow them for times $t \sim \O(10^5) m^{-1}$. An investigation of their properties for $\hat z$-symmetric models reveals an enormously rich structure of resonances and mode-mode oscillations reminiscent of excited atomic states. For the SU(2) case, we present preliminary results indicating the presence of similar oscillonic configurations.
|
hep-th/9407162
| null |
R. Bonisch
|
Transition from SU(2)_L x SU(2)_R x U(1)_(B-L) Representation to SU(2)_L
x U(1)_Y by q-Deformation and the Corresponding Classical Breaking Term of
Chiral U(2)
|
DESY 94-129, 12 pages
|
Annalen Phys. 4 (1995) 345-353
|
10.1002/andp.19955070407
| null |
hep-th hep-ph
| null |
The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the
vev and the hypercharge splitting (Delta) of right-handed leptons (quarks) in a
family vanish and Q=T_0 + Y independently in each helicity sector. As a
generalization, we start with SU(2)_L x SU(2)_R x U(1)_{(B-L)} and introduce
Delta as a continuous parameter which is a measure of explicit symmetry
breakdown. Values of Delta between zero and 1/2 take the neutral generator of
the isospin-1/2 representation to the singlet representation, i.e. `deformes'
the LR representation into the minimal Standard one. The corresponding
classical O(3)-breaking term is a magnetic field perpendicular to the x_3-axis.
A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2)
representation is given.
|
[
{
"created": "Mon, 25 Jul 1994 13:41:18 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Bonisch",
"R.",
""
]
] |
The minimal Standard Model exhibits a nontrivial chiral U(2) symmetry if the vev and the hypercharge splitting (Delta) of right-handed leptons (quarks) in a family vanish and Q=T_0 + Y independently in each helicity sector. As a generalization, we start with SU(2)_L x SU(2)_R x U(1)_{(B-L)} and introduce Delta as a continuous parameter which is a measure of explicit symmetry breakdown. Values of Delta between zero and 1/2 take the neutral generator of the isospin-1/2 representation to the singlet representation, i.e. `deformes' the LR representation into the minimal Standard one. The corresponding classical O(3)-breaking term is a magnetic field perpendicular to the x_3-axis. A simple mapping on the fundamental Drinfeld-Jimbo q-deformed SU(2) representation is given.
|
hep-th/0101019
|
Naresh Dadhich
|
Naresh Dadhich (IUCAA, India) and S. G. Ghosh (Dept of Mathematics,
Science College, Nagpur, India)
|
Gravitational collapse of null fluid on the brane
|
12 pages, latex, 3 figures, submitted to Phys.Lett.B
|
Phys.Lett.B518:1-7,2001
|
10.1016/S0370-2693(01)01057-7
| null |
hep-th astro-ph gr-qc
| null |
We first obtain the analogue of Vaidya's solution on the brane for studying
the collapse of null fluid onto a flat Minkowski cavity on the brane. Since the
back-reaction of the bulk onto the brane is supposed to strengthen gravity on
the brane, it would favour formation of black hole as against naked
singularity. That is the parameter window in the initial data set giving rise
to naked singularity in the 4D Vaidya case would now get partially covered.
|
[
{
"created": "Tue, 2 Jan 2001 09:31:53 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Dadhich",
"Naresh",
"",
"IUCAA, India"
],
[
"Ghosh",
"S. G.",
"",
"Dept of Mathematics,\n Science College, Nagpur, India"
]
] |
We first obtain the analogue of Vaidya's solution on the brane for studying the collapse of null fluid onto a flat Minkowski cavity on the brane. Since the back-reaction of the bulk onto the brane is supposed to strengthen gravity on the brane, it would favour formation of black hole as against naked singularity. That is the parameter window in the initial data set giving rise to naked singularity in the 4D Vaidya case would now get partially covered.
|
0910.0849
|
Jiajun Xu
|
S.-H. Henry Tye and Jiajun Xu
|
A Meandering Inflaton
|
minor additions, matched to published version
|
Phys.Lett.B683:326-330,2010
|
10.1016/j.physletb.2009.12.045
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If the cosmological inflationary scenario took place in the cosmic landscape
in string theory, the inflaton, the scalar mode responsible for inflation,
would have meandered in a complicated multi-dimensional potential. We show that
this meandering property naturally leads to many e-folds of inflation, a
necessary condition for a successful inflationary scenario. This behavior also
leads to fluctuations in the primordial power spectrum of the cosmic microwave
background radiation, which may be detected in a near future cosmic variance
limited experiment like PLANCK.
|
[
{
"created": "Mon, 5 Oct 2009 20:07:27 GMT",
"version": "v1"
},
{
"created": "Thu, 14 Jan 2010 18:17:14 GMT",
"version": "v2"
}
] |
2010-01-21
|
[
[
"Tye",
"S. -H. Henry",
""
],
[
"Xu",
"Jiajun",
""
]
] |
If the cosmological inflationary scenario took place in the cosmic landscape in string theory, the inflaton, the scalar mode responsible for inflation, would have meandered in a complicated multi-dimensional potential. We show that this meandering property naturally leads to many e-folds of inflation, a necessary condition for a successful inflationary scenario. This behavior also leads to fluctuations in the primordial power spectrum of the cosmic microwave background radiation, which may be detected in a near future cosmic variance limited experiment like PLANCK.
|
2110.04128
|
Yu-Song Cao
|
Yu-Song Cao
|
Vacuum radiation from massive scalar field
|
12 pages, 3 figures
|
Universe, Vol.8, (2022) 186
| null | null |
hep-th gr-qc quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The vacuum radiation of a massive scalar field is studied by means of a
single moving mirror. The field equation with an arbitrary-shaped mirror moving
in $(d+1)$ dimensions is given perturbatively in the non-relativistic limit.
Explicit results are obtained for a flat mirror moving in $(1+1)$ dimensions
and $(3+1)$ dimensions. The vacuum radiation power and vacuum friction force on
the mirror are given in $(1+1)$ dimensions. The intrinsic mass of the field is
found to suppress the vacuum radiation. In $(3+1)$ dimensions, the modification
of the frequency spectra and angular spectra of emitted particles due to the
intrinsic mass are obtained. In the limit of $m\to 0$, we recover the results
of the massless field.
|
[
{
"created": "Fri, 8 Oct 2021 13:33:05 GMT",
"version": "v1"
},
{
"created": "Sat, 20 Aug 2022 05:54:27 GMT",
"version": "v2"
}
] |
2022-08-23
|
[
[
"Cao",
"Yu-Song",
""
]
] |
The vacuum radiation of a massive scalar field is studied by means of a single moving mirror. The field equation with an arbitrary-shaped mirror moving in $(d+1)$ dimensions is given perturbatively in the non-relativistic limit. Explicit results are obtained for a flat mirror moving in $(1+1)$ dimensions and $(3+1)$ dimensions. The vacuum radiation power and vacuum friction force on the mirror are given in $(1+1)$ dimensions. The intrinsic mass of the field is found to suppress the vacuum radiation. In $(3+1)$ dimensions, the modification of the frequency spectra and angular spectra of emitted particles due to the intrinsic mass are obtained. In the limit of $m\to 0$, we recover the results of the massless field.
|
hep-th/0312031
|
Sami Muslih prof.
|
Sami I. Muslih
|
Completely and Partially Integrable Systems of Total Differential
Equations
|
Latex
|
Nuovo Cim. B118 (2003) 505-511
|
10.1393/ncb/i2003-10044-1
| null |
hep-th
| null |
Constrained Hamiltonian systems are investigated by using the Hamilton-Jacobi
method. Integration of a set of equations of motion and the action function is
discussed. It is shown that we have two types of integrable systems: a) ${\it
Partially integrable systems}$, where the set of equations of motion is only
integrable. b) {\it Completely integrable systems}, where the set of equations
of motion and the action function is integrable. Two examples are studied.
|
[
{
"created": "Tue, 2 Dec 2003 15:35:35 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Muslih",
"Sami I.",
""
]
] |
Constrained Hamiltonian systems are investigated by using the Hamilton-Jacobi method. Integration of a set of equations of motion and the action function is discussed. It is shown that we have two types of integrable systems: a) ${\it Partially integrable systems}$, where the set of equations of motion is only integrable. b) {\it Completely integrable systems}, where the set of equations of motion and the action function is integrable. Two examples are studied.
|
hep-th/9604173
|
Alexander Manashov
|
S.E. Derkachov and A.N. Manashov
|
Generic scaling relation in the scalar $\phi^{4}$ model
|
15 pages, Latex, 50 KB
|
J.Phys.A29:8011-8024,1996
|
10.1088/0305-4470/29/24/024
|
SPbU-IP-96-8
|
hep-th
| null |
The results of analysis of the one--loop spectrum of anomalous dimensions of
composite operators in the scalar $ \phi^{4} $ model are presented. We give the
rigorous constructive proof of the hypothesis on the hierarchical structure of
the spectrum of anomalous dimensions -- the naive sum of any two anomalous
dimensions generates a limit point in the spectrum. Arguments in favor of the
nonperturbative character of this result and the possible ways of a
generalization to other field theories are briefly discussed.
|
[
{
"created": "Sat, 27 Apr 1996 10:50:33 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Derkachov",
"S. E.",
""
],
[
"Manashov",
"A. N.",
""
]
] |
The results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar $ \phi^{4} $ model are presented. We give the rigorous constructive proof of the hypothesis on the hierarchical structure of the spectrum of anomalous dimensions -- the naive sum of any two anomalous dimensions generates a limit point in the spectrum. Arguments in favor of the nonperturbative character of this result and the possible ways of a generalization to other field theories are briefly discussed.
|
hep-th/9505068
| null |
M.T. Grisaru and M.E. Wehlau
|
(2,2) Supergravity in the Light-Cone gauge
|
Latex, 20 pages, 2 figures in separate compressed file
|
Nucl.Phys. B453 (1995) 489-507; Erratum-ibid. B487 (1997) 526
|
10.1016/S0550-3213(96)00714-6
|
BRX-TH-370
|
hep-th
| null |
Starting with the prepotential description of two-dimensional $(2,2)$
supergravity we use local supersymmetry transformations to go to light-cone
gauge. We discuss properties of the theory in this gauge and derive Ward
identities for correlation functions defined with respect to the induced
supergravity action.
|
[
{
"created": "Thu, 11 May 1995 17:49:53 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Grisaru",
"M. T.",
""
],
[
"Wehlau",
"M. E.",
""
]
] |
Starting with the prepotential description of two-dimensional $(2,2)$ supergravity we use local supersymmetry transformations to go to light-cone gauge. We discuss properties of the theory in this gauge and derive Ward identities for correlation functions defined with respect to the induced supergravity action.
|
hep-th/9206043
|
E. Elizalde
|
E. Elizalde and S.D. Odintsov
|
One-loop divergences in two-dimensional Maxwell-dilaton quantum gravity
|
UB-ECM-PF 92/17, Latex file, 12 pages
|
Mod.Phys.Lett.A8:33-44,1993
|
10.1142/S0217732393000040
| null |
hep-th
| null |
Two-dimensional Maxwell-dilaton quantum gravity, which covers a large family
of the actions for two-dimensional gravity (in particular, string-inspired
models) is investigated. Charged black holes which appear in the theory are
briefly discussed. The one-loop divergences in the linear covariant gauges are
calculated. It is shown that for some choices of the dilaton potential and
dilaton-Maxwell coupling, the theory is one-loop multiplicatively
renormalizable (or even finite). A comparison with the divergences structure of
four-dimensional Einstein-Maxwell gravity is given.
|
[
{
"created": "Wed, 10 Jun 1992 14:51:52 GMT",
"version": "v1"
}
] |
2009-09-17
|
[
[
"Elizalde",
"E.",
""
],
[
"Odintsov",
"S. D.",
""
]
] |
Two-dimensional Maxwell-dilaton quantum gravity, which covers a large family of the actions for two-dimensional gravity (in particular, string-inspired models) is investigated. Charged black holes which appear in the theory are briefly discussed. The one-loop divergences in the linear covariant gauges are calculated. It is shown that for some choices of the dilaton potential and dilaton-Maxwell coupling, the theory is one-loop multiplicatively renormalizable (or even finite). A comparison with the divergences structure of four-dimensional Einstein-Maxwell gravity is given.
|
hep-th/0009095
|
Martin Gremm
|
Martin Gremm
|
Compactified NCOS and duality
|
16 pages, references corrected
|
JHEP 0108:052,2001
|
10.1088/1126-6708/2001/08/052
|
PUPT-1951
|
hep-th
| null |
We study four-dimensional U(1) on a non-commutative T^2 with rational Theta.
This theory has dual descriptions as ordinary SYM or as NCOS. We identify a set
of massive non-interacting KK states in the SYM theory and track them through
the various dualities. They appear as stretched strings in the non-commutative
U(1) providing another example of the IR/UV mixing in non-commutative field
theories. In the NCOS these states appear as D-strings with winding and
momentum. They form an unconventional type of 1/4 BPS state with the 3-brane.
To obtain a consistent picture of S-duality for compactified theories it is
essential to keep track of both the NS and the RR B-fields.
|
[
{
"created": "Tue, 12 Sep 2000 15:38:51 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Sep 2000 14:59:34 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Gremm",
"Martin",
""
]
] |
We study four-dimensional U(1) on a non-commutative T^2 with rational Theta. This theory has dual descriptions as ordinary SYM or as NCOS. We identify a set of massive non-interacting KK states in the SYM theory and track them through the various dualities. They appear as stretched strings in the non-commutative U(1) providing another example of the IR/UV mixing in non-commutative field theories. In the NCOS these states appear as D-strings with winding and momentum. They form an unconventional type of 1/4 BPS state with the 3-brane. To obtain a consistent picture of S-duality for compactified theories it is essential to keep track of both the NS and the RR B-fields.
|
2011.06005
|
Yiming Chen
|
Yiming Chen, Henry W. Lin
|
Signatures of global symmetry violation in relative entropies and
replica wormholes
|
32 pages, 9 figures. V2: references added
|
JHEP 03 (2021) 040
|
10.1007/JHEP03(2021)040
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is widely believed that exact global symmetries do not exist in theories
that admit quantum black holes. Here we propose a way to quantify the degree of
global symmetry violation in the Hawking radiation of a black hole by using
certain relative entropies. While the violations of global symmetry that we
consider are non-perturbative effects, they nevertheless give $\mathcal{O}(1)$
contributions to the relative entropy after the Page time. Furthermore, using
"island" formulas, these relative entropies can be computed within
semi-classical gravity, which we demonstrate with explicit examples. These
formulas give a rather precise operational sense to the statement that a global
charge thrown into an old black hole will be lost after a scrambling time.
The relative entropies considered here may also be computed using a replica
trick. At integer replica index, the global symmetry violating effects manifest
themselves as charge flowing through the replica wormhole.
|
[
{
"created": "Wed, 11 Nov 2020 19:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Nov 2020 01:28:03 GMT",
"version": "v2"
}
] |
2021-05-31
|
[
[
"Chen",
"Yiming",
""
],
[
"Lin",
"Henry W.",
""
]
] |
It is widely believed that exact global symmetries do not exist in theories that admit quantum black holes. Here we propose a way to quantify the degree of global symmetry violation in the Hawking radiation of a black hole by using certain relative entropies. While the violations of global symmetry that we consider are non-perturbative effects, they nevertheless give $\mathcal{O}(1)$ contributions to the relative entropy after the Page time. Furthermore, using "island" formulas, these relative entropies can be computed within semi-classical gravity, which we demonstrate with explicit examples. These formulas give a rather precise operational sense to the statement that a global charge thrown into an old black hole will be lost after a scrambling time. The relative entropies considered here may also be computed using a replica trick. At integer replica index, the global symmetry violating effects manifest themselves as charge flowing through the replica wormhole.
|
1802.01501
|
Claudio Coriano
|
Claudio Coriano, Matteo Maria Maglio
|
Renormalization, Conformal Ward Identities and the Origin of a Conformal
Anomaly Pole
|
15 pages, 1 figure, few typos corrections, final version accepted for
publication in Physics Letters B
| null |
10.1016/j.physletb.2018.04.003
| null |
hep-th cond-mat.str-el hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the emergence of a conformal anomaly pole in conformal field
theories in the case of the $TJJ$ correlator. We show how it comes to be
generated in dimensional renormalization, using a basis of 13 form factors (the
$F$-basis), where only one of them requires renormalization $(F_{13})$,
extending previous studies. We then combine recent results on the structure of
the non-perturbative solutions of the conformal Ward identities (CWI's) for the
$TJJ$ in momentum space, expressed in terms of a minimal set of 4 form factors
($A-$ basis), with the properties of the $F$-basis, and show how the singular
behaviour of the corresponding form factors in both basis can be related. The
result proves the centrality of such massless effective interactions induced by
the anomaly, which have recently found realization in solid state, in the
theory of topological insulators and of Weyl semimetals. This pattern is
confirmed in massless abelian and nonabelian theories (QED and QCD)
investigated at one-loop.
|
[
{
"created": "Mon, 5 Feb 2018 16:18:05 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Apr 2018 01:06:30 GMT",
"version": "v2"
}
] |
2018-05-09
|
[
[
"Coriano",
"Claudio",
""
],
[
"Maglio",
"Matteo Maria",
""
]
] |
We investigate the emergence of a conformal anomaly pole in conformal field theories in the case of the $TJJ$ correlator. We show how it comes to be generated in dimensional renormalization, using a basis of 13 form factors (the $F$-basis), where only one of them requires renormalization $(F_{13})$, extending previous studies. We then combine recent results on the structure of the non-perturbative solutions of the conformal Ward identities (CWI's) for the $TJJ$ in momentum space, expressed in terms of a minimal set of 4 form factors ($A-$ basis), with the properties of the $F$-basis, and show how the singular behaviour of the corresponding form factors in both basis can be related. The result proves the centrality of such massless effective interactions induced by the anomaly, which have recently found realization in solid state, in the theory of topological insulators and of Weyl semimetals. This pattern is confirmed in massless abelian and nonabelian theories (QED and QCD) investigated at one-loop.
|
0807.0802
|
Jun-Bao Wu
|
Bin Chen, Jun-Bao Wu
|
Semi-classical strings in AdS_4*CP^3
|
15 pages, no figures; v2: references added, minor changes, 16 pages;
v3: minor changes
|
JHEP0809:096,2008
|
10.1088/1126-6708/2008/09/096
|
SISSA-43/2008/EP
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime.
We construct various kinds of string solutions, including the point-like,
circular, folded and pulsating strings. For the circular and folded strings, we
figure out their field theory dual operators. In particular, we discuss the
anomalous dimensions of the corresponding operators from decoupled SU(2)*SU(2)
spin chain. We find that in the large angular momentum limit, the field theory
and string theory results are in very good agreement up to an interpolating
function of coupling constant.
|
[
{
"created": "Mon, 7 Jul 2008 11:53:09 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2008 15:08:23 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Sep 2008 06:52:32 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Chen",
"Bin",
""
],
[
"Wu",
"Jun-Bao",
""
]
] |
In this paper, we study the semi-classical strings in AdS_4*CP^3 spacetime. We construct various kinds of string solutions, including the point-like, circular, folded and pulsating strings. For the circular and folded strings, we figure out their field theory dual operators. In particular, we discuss the anomalous dimensions of the corresponding operators from decoupled SU(2)*SU(2) spin chain. We find that in the large angular momentum limit, the field theory and string theory results are in very good agreement up to an interpolating function of coupling constant.
|
hep-th/0005211
|
Matthias R. Gaberdiel
|
Tathagata Dasgupta, Matthias R. Gaberdiel and Michael B. Green
|
The Type I D-instanton and its M-theory Origin
|
24 pages, LaTeX, 1 figure
|
JHEP 0008 (2000) 004
|
10.1088/1126-6708/2000/08/004
|
DAMTP-2000-52
|
hep-th
| null |
The tree-level amplitude for the scattering of two gauge particles
constrained to move on the two distinct boundaries of eleven-dimensional
space-time in the Horava-Witten formulation of M-theory is constructed. At low
momenta this reproduces the corresponding tree-level scattering amplitude of
the E_8xE_8 heterotic string theory. After compactification to nine dimensions
on a large circle with a suitable Wilson line to break the symmetry to
SO(16)xSO(16) this amplitude is used to describe the scattering of two massive
SO(16) spinor states - one from each factor of the unbroken symmetry group. The
amplitude contains a component that is associated with the exchange of a
Kaluza-Klein charge between the boundaries, which is interpreted as the
exchange of a D-particle between orientifold planes in the Type IA theory. This
is related by T-duality to the effect of a non-BPS D-instanton in the Type I
theory which is only invariant under those elements of O(16)xSO(16) that are in
SO(16)xSO(16).
|
[
{
"created": "Tue, 23 May 2000 16:52:34 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Dasgupta",
"Tathagata",
""
],
[
"Gaberdiel",
"Matthias R.",
""
],
[
"Green",
"Michael B.",
""
]
] |
The tree-level amplitude for the scattering of two gauge particles constrained to move on the two distinct boundaries of eleven-dimensional space-time in the Horava-Witten formulation of M-theory is constructed. At low momenta this reproduces the corresponding tree-level scattering amplitude of the E_8xE_8 heterotic string theory. After compactification to nine dimensions on a large circle with a suitable Wilson line to break the symmetry to SO(16)xSO(16) this amplitude is used to describe the scattering of two massive SO(16) spinor states - one from each factor of the unbroken symmetry group. The amplitude contains a component that is associated with the exchange of a Kaluza-Klein charge between the boundaries, which is interpreted as the exchange of a D-particle between orientifold planes in the Type IA theory. This is related by T-duality to the effect of a non-BPS D-instanton in the Type I theory which is only invariant under those elements of O(16)xSO(16) that are in SO(16)xSO(16).
|
1011.1619
|
Hongwei Yu
|
Wenting Zhou, Hongwei Yu
|
Lamb Shift for static atoms outside a Schwarzschild black hole
|
14 pages, no figures, to be published in PRD
|
Phys.Rev.D82:104030,2010
|
10.1103/PhysRevD.82.104030
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study, by separately calculating the contributions of vacuum fluctuations
and radiation reaction to the atomic energy level shift, the Lamb shift of a
static two-level atom interacting with real massless scalar fields in the
Boulware, Unruh and Hartle-Hawking vacuums outside a Schwarzschild black hole.
We find that in the Boulware vacuum, the Lamb shift gets a correction arising
as a result of the backscattering of vacuum field modes off the space-time
curvature, which is reminiscent of the correction to the Lamb shift induced by
the presence of cavities. However, when the Unruh and Hartle-Hawking vacua are
concerned, our results show that the Lamb shift behaves as if the atom were
irradiated by a thermal radiation or immersed in a thermal bath at the Hawking
temperature, depending on whether the scalar field is in the Unruh or the
Hartle-Hawking vacuum. Remarkably, the thermal radiation is always
backscattered by the space-time geometry.
|
[
{
"created": "Sun, 7 Nov 2010 07:20:52 GMT",
"version": "v1"
}
] |
2010-12-09
|
[
[
"Zhou",
"Wenting",
""
],
[
"Yu",
"Hongwei",
""
]
] |
We study, by separately calculating the contributions of vacuum fluctuations and radiation reaction to the atomic energy level shift, the Lamb shift of a static two-level atom interacting with real massless scalar fields in the Boulware, Unruh and Hartle-Hawking vacuums outside a Schwarzschild black hole. We find that in the Boulware vacuum, the Lamb shift gets a correction arising as a result of the backscattering of vacuum field modes off the space-time curvature, which is reminiscent of the correction to the Lamb shift induced by the presence of cavities. However, when the Unruh and Hartle-Hawking vacua are concerned, our results show that the Lamb shift behaves as if the atom were irradiated by a thermal radiation or immersed in a thermal bath at the Hawking temperature, depending on whether the scalar field is in the Unruh or the Hartle-Hawking vacuum. Remarkably, the thermal radiation is always backscattered by the space-time geometry.
|
hep-th/9809130
|
Pierre Vanhove
|
Ivan K. Kostov (CERN) and Pierre Vanhove (DAMTP, UK)
|
Matrix String Partition Functions
|
harvmac (b), 15 pages. v2 Cosmetic changes in the text and references
added
|
Phys.Lett.B444:196-203,1998
|
10.1016/S0370-2693(98)01381-1
|
CERN-TH/98-280, CPTH-S587.1297, DAMTP-1998-119, SPHT/98/097
|
hep-th
| null |
We evaluate quasi-classically the Ramond partition function of Euclidean D=10
U(N) super-Yang--Mills theory reduced to a two-dimensional torus. The result
can be interpreted in terms of free strings wrapping the space-time torus, as
expected from the point of view of Matrix string theory. We demonstrate that,
when extrapolated to the ultraviolet limit (small area of the torus), the
quasi-classical expressions reproduce exactly the recently obtained expression
for the partition of the completely reduced SYM theory, including the overall
numerical factor. This is an evidence that our quasi-classical calculation
might be exact.
|
[
{
"created": "Thu, 17 Sep 1998 13:27:00 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 1998 10:58:10 GMT",
"version": "v2"
}
] |
2014-11-18
|
[
[
"Kostov",
"Ivan K.",
"",
"CERN"
],
[
"Vanhove",
"Pierre",
"",
"DAMTP, UK"
]
] |
We evaluate quasi-classically the Ramond partition function of Euclidean D=10 U(N) super-Yang--Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasi-classical expressions reproduce exactly the recently obtained expression for the partition of the completely reduced SYM theory, including the overall numerical factor. This is an evidence that our quasi-classical calculation might be exact.
|
hep-th/9306141
|
Kresimir Demeterfi
|
Kresimir Demeterfi and Joao P. Rodrigues
|
States and quantum effects in the collective field theory of a deformed
matrix model
|
25 pages, PUPT-1407 and CNLS-93-06, 2 figures included, harvmac +
epsf
|
Nucl.Phys. B415 (1994) 3-28
|
10.1016/0550-3213(94)90065-5
| null |
hep-th
| null |
We derive an equation which gives the tree-level scattering amplitudes for
tachyons in the black hole background using the exact states of the collective
field hamiltonian corresponding to a deformed matrix model recently proposed by
Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit
expression for a class of amplitudes in the tree approximation. We also study
the quantum effects in the corresponding collective field theory. In
particular, we compute the ground state energy and the free energy at finite
temperature up to two loops, and the first quantum correction to the two-point
function.
|
[
{
"created": "Sun, 27 Jun 1993 01:47:32 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Demeterfi",
"Kresimir",
""
],
[
"Rodrigues",
"Joao P.",
""
]
] |
We derive an equation which gives the tree-level scattering amplitudes for tachyons in the black hole background using the exact states of the collective field hamiltonian corresponding to a deformed matrix model recently proposed by Jevicki and Yoneya. Using directly the symmetry algebra we obtain explicit expression for a class of amplitudes in the tree approximation. We also study the quantum effects in the corresponding collective field theory. In particular, we compute the ground state energy and the free energy at finite temperature up to two loops, and the first quantum correction to the two-point function.
|
hep-th/0610319
|
Michael Lennek
|
Keith R. Dienes, Michael Lennek
|
Fighting the Floating Correlations: Expectations and Complications in
Extracting Statistical Correlations from the String Theory Landscape
|
29 pages, LaTeX, 8 figures
|
Phys.Rev.D75:026008,2007
|
10.1103/PhysRevD.75.026008
| null |
hep-th
| null |
The realization that string theory gives rise to a huge landscape of vacuum
solutions has recently prompted a statistical approach towards extracting
phenomenological predictions from string theory. Unfortunately, for most
classes of string models, direct enumeration of all solutions is not
computationally feasible and thus statistical studies must resort to other
methods in order to extract meaningful information. In this paper, we discuss
some of the issues that arise when attempting to extract statistical
correlations from a large data set to which our computational access is
necessarily limited. Our main focus is the problem of ``floating
correlations''. As we discuss, this problem is endemic to investigations of
this type and reflects the fact that not all physically distinct string models
are equally likely to be sampled in any random search through the landscape,
thereby causing statistical correlations to ``float'' as a function of sample
size. We propose several possible methods that can be used to overcome this
problem, and we show through explicit examples that these methods lead to
correlations and statistical distributions which are not only stable as a
function of sample size, but which differ significantly from those which would
have been naively apparent from only a partial data set.
|
[
{
"created": "Tue, 31 Oct 2006 16:56:10 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Dienes",
"Keith R.",
""
],
[
"Lennek",
"Michael",
""
]
] |
The realization that string theory gives rise to a huge landscape of vacuum solutions has recently prompted a statistical approach towards extracting phenomenological predictions from string theory. Unfortunately, for most classes of string models, direct enumeration of all solutions is not computationally feasible and thus statistical studies must resort to other methods in order to extract meaningful information. In this paper, we discuss some of the issues that arise when attempting to extract statistical correlations from a large data set to which our computational access is necessarily limited. Our main focus is the problem of ``floating correlations''. As we discuss, this problem is endemic to investigations of this type and reflects the fact that not all physically distinct string models are equally likely to be sampled in any random search through the landscape, thereby causing statistical correlations to ``float'' as a function of sample size. We propose several possible methods that can be used to overcome this problem, and we show through explicit examples that these methods lead to correlations and statistical distributions which are not only stable as a function of sample size, but which differ significantly from those which would have been naively apparent from only a partial data set.
|
0807.0829
|
Alfredo Raya
|
Alfredo Raya and Edward D. Reyes
|
Massive Dirac fermions and the zero field quantum Hall effect
|
15 pages. Accepted in Jour. Phys. A
|
J.Phys.A41:355401,2008
|
10.1088/1751-8113/41/35/355401
|
UMSNH-IFM-F-2008-26
|
hep-th cond-mat.mes-hall
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Through an explicit calculation for a Lagrangian in quantum electrodynamics
in (2+1)-space--time dimensions (QED$_3$), making use of the relativistic Kubo
formula, we demonstrate that the filling factor accompanying the quantized
electrical conductivity for massive Dirac fermions of a single species in two
spatial dimensions is a half (in natural units) when time reversal and parity
symmetries of the Lagrangian are explicitly broken by the fermion mass term. We
then discuss the most general form of the QED$_3$ Lagrangian, both for
irreducible and reducible representations of the Dirac matrices in the plane,
with emphasis on the appearance of a Chern-Simons term. We also identify the
value of the filling factor with a zero field quantum Hall effect (QHE).
|
[
{
"created": "Fri, 4 Jul 2008 22:42:19 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Raya",
"Alfredo",
""
],
[
"Reyes",
"Edward D.",
""
]
] |
Through an explicit calculation for a Lagrangian in quantum electrodynamics in (2+1)-space--time dimensions (QED$_3$), making use of the relativistic Kubo formula, we demonstrate that the filling factor accompanying the quantized electrical conductivity for massive Dirac fermions of a single species in two spatial dimensions is a half (in natural units) when time reversal and parity symmetries of the Lagrangian are explicitly broken by the fermion mass term. We then discuss the most general form of the QED$_3$ Lagrangian, both for irreducible and reducible representations of the Dirac matrices in the plane, with emphasis on the appearance of a Chern-Simons term. We also identify the value of the filling factor with a zero field quantum Hall effect (QHE).
|
1512.04943
|
Oscar Varela
|
Oscar Varela
|
The complete $D=11$ embedding of SO(8) supergravity
|
10 pages
|
Phys. Rev. D 97, 045010 (2018)
|
10.1103/PhysRevD.97.045010
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The truncation formulae of $D=11$ supergravity on $S^7$ to $D=4$ ${\cal N}
=8$ SO(8)-gauged supergravity are completed to include the full non-linear
dependence of the $D=11$ three-form potential $\hat A_{(3)}$ on the $D=4$
fields, and their consistency is shown. The full embedding into $\hat A_{(3)}$
is naturally expressed in terms of a restricted version, still ${\cal N} =8$
but only SL(8)--covariant, of the $D=4$ tensor hierarchy. The redundancies
introduced by this approach are removed at the level of the field strength
$\hat F_{(4)}$ by exploiting $D=4$ duality relations. Finally, new expressions
for the full consistent truncation formulae are given that are, for the first
time, explicit in all $D=4$ fields.
|
[
{
"created": "Tue, 15 Dec 2015 21:00:01 GMT",
"version": "v1"
}
] |
2018-02-21
|
[
[
"Varela",
"Oscar",
""
]
] |
The truncation formulae of $D=11$ supergravity on $S^7$ to $D=4$ ${\cal N} =8$ SO(8)-gauged supergravity are completed to include the full non-linear dependence of the $D=11$ three-form potential $\hat A_{(3)}$ on the $D=4$ fields, and their consistency is shown. The full embedding into $\hat A_{(3)}$ is naturally expressed in terms of a restricted version, still ${\cal N} =8$ but only SL(8)--covariant, of the $D=4$ tensor hierarchy. The redundancies introduced by this approach are removed at the level of the field strength $\hat F_{(4)}$ by exploiting $D=4$ duality relations. Finally, new expressions for the full consistent truncation formulae are given that are, for the first time, explicit in all $D=4$ fields.
|
1405.7535
|
Negin Fatahi
|
Negin Fatahi, Mohamad Vahid Takook, Mohamad Reza Tanhayi
|
Conformally Covariant Vector-Spinor Field in de Sitter Space
|
22 pages- paper improved- appendix added- correct the mistakes in
writing-references added
|
Eur. Phys. J. C (2014) 74:3111
|
10.1140/s10052-014-3111-0
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we study the conformally invariant field equations for
vector-spinor field in de Sitter space-time. The solutions are also obtained in
terms of the de Sitter-Dirac plane waves. The related two-point functions are
calculated in both de Sitter ambient space formalism and intrinsic de Sitter
coordinate. In order to study the conformal invariance, Dirac s six-cone
formalism is utilized in which the field equations are expressed in a
manifestly conformal way in 4 + 2 dimensional conformal space and then followed
by the projection to de Sitter space.
|
[
{
"created": "Thu, 29 May 2014 12:28:50 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Sep 2014 20:40:12 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Feb 2015 15:45:31 GMT",
"version": "v3"
}
] |
2015-02-13
|
[
[
"Fatahi",
"Negin",
""
],
[
"Takook",
"Mohamad Vahid",
""
],
[
"Tanhayi",
"Mohamad Reza",
""
]
] |
In this paper, we study the conformally invariant field equations for vector-spinor field in de Sitter space-time. The solutions are also obtained in terms of the de Sitter-Dirac plane waves. The related two-point functions are calculated in both de Sitter ambient space formalism and intrinsic de Sitter coordinate. In order to study the conformal invariance, Dirac s six-cone formalism is utilized in which the field equations are expressed in a manifestly conformal way in 4 + 2 dimensional conformal space and then followed by the projection to de Sitter space.
|
hep-th/0205221
|
Steven Corley
|
Steven Corley and Sanjaye Ramgoolam
|
Finite Factorization equations and Sum Rules for BPS correlators in N=4
SYM theory
|
1+69 pages, harvmac, 38 figures; v2: references added, comment added
on next-to-extremal correlators
|
Nucl.Phys. B641 (2002) 131-187
|
10.1016/S0550-3213(02)00573-4
|
Brown-HET 1305
|
hep-th
| null |
A class of exact non-renormalized extremal correlators of half-BPS operators
in N=4 SYM, with U(N) gauge group, is shown to satisfy finite factorization
equations reminiscent of topological gauge theories. The finite factorization
equations can be generalized, beyond the extremal case, to a class of
correlators involving observables with a simple pattern of SO(6) charges. The
simple group theoretic form of the correlators allows equalities between ratios
of correlators in N=4 SYM and Wilson loops in Chern-Simons theories at
k=\infty, correlators of appropriate observables in topological G/G models and
Wilson loops in two-dimensional Yang-Mills theories. The correlators also obey
sum rules which can be generalized to off-extremal correlators. The simplest
sum rules can be viewed as large k limits of the Verlinde formula using the
Chern-Simons correspondence. For special classes of correlators, the saturation
of the factorization equations by a small subset of the operators in the large
N theory is related to the emergence of semiclassical objects like KK modes and
giant gravitons in the dual ADS \times S background. We comment on an
intriguing symmetry between KK modes and giant gravitons.
|
[
{
"created": "Tue, 21 May 2002 18:25:26 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jun 2002 18:05:29 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Corley",
"Steven",
""
],
[
"Ramgoolam",
"Sanjaye",
""
]
] |
A class of exact non-renormalized extremal correlators of half-BPS operators in N=4 SYM, with U(N) gauge group, is shown to satisfy finite factorization equations reminiscent of topological gauge theories. The finite factorization equations can be generalized, beyond the extremal case, to a class of correlators involving observables with a simple pattern of SO(6) charges. The simple group theoretic form of the correlators allows equalities between ratios of correlators in N=4 SYM and Wilson loops in Chern-Simons theories at k=\infty, correlators of appropriate observables in topological G/G models and Wilson loops in two-dimensional Yang-Mills theories. The correlators also obey sum rules which can be generalized to off-extremal correlators. The simplest sum rules can be viewed as large k limits of the Verlinde formula using the Chern-Simons correspondence. For special classes of correlators, the saturation of the factorization equations by a small subset of the operators in the large N theory is related to the emergence of semiclassical objects like KK modes and giant gravitons in the dual ADS \times S background. We comment on an intriguing symmetry between KK modes and giant gravitons.
|
0901.3905
|
Christian Saemann
|
Calin I. Lazaroiu, Daniel McNamee, Christian Saemann and Aleksandar
Zejak
|
Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple
M2-branes
|
1+28 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We review various generalizations of the notion of Lie algebras, in
particular those appearing in the recently proposed Bagger-Lambert-Gustavsson
model, and study their interrelations. We find that Filippov's n-Lie algebras
are a special case of strong homotopy Lie algebras. Furthermore, we define a
class of homotopy Maurer-Cartan equations, which contains both the Nahm and the
Basu-Harvey equations as special cases. Finally, we show how the super
Yang-Mills equations describing a Dp-brane and the Bagger-Lambert-Gustavsson
equations supposedly describing M2-branes can be rewritten as homotopy
Maurer-Cartan equations, as well.
|
[
{
"created": "Mon, 26 Jan 2009 19:14:43 GMT",
"version": "v1"
}
] |
2009-01-27
|
[
[
"Lazaroiu",
"Calin I.",
""
],
[
"McNamee",
"Daniel",
""
],
[
"Saemann",
"Christian",
""
],
[
"Zejak",
"Aleksandar",
""
]
] |
We review various generalizations of the notion of Lie algebras, in particular those appearing in the recently proposed Bagger-Lambert-Gustavsson model, and study their interrelations. We find that Filippov's n-Lie algebras are a special case of strong homotopy Lie algebras. Furthermore, we define a class of homotopy Maurer-Cartan equations, which contains both the Nahm and the Basu-Harvey equations as special cases. Finally, we show how the super Yang-Mills equations describing a Dp-brane and the Bagger-Lambert-Gustavsson equations supposedly describing M2-branes can be rewritten as homotopy Maurer-Cartan equations, as well.
|
hep-th/9910195
|
Richard Szabo
|
Richard J. Szabo and John F. Wheater
|
Bottleneck Surfaces and Worldsheet Geometry of Higher-Curvature Quantum
Gravity
|
18 pages LaTeX, 3 .eps figures, uses epsf.tex; clarifying comments
added and typos corrected
|
JHEP 0005:033,2000
|
10.1088/1126-6708/2000/05/033
|
NBI-HE-99-20, OUTP-99-58P
|
hep-th cond-mat gr-qc hep-lat
| null |
We describe a simple lattice model of higher-curvature quantum gravity in two
dimensions and study the phase structure of the theory as a function of the
curvature coupling. It is shown that the ensemble of flat graphs is
entropically unstable to the formation of baby universes. In these simplified
models the growth in graphs exhibits a branched polymer behaviour in the phase
directly before the flattening transition.
|
[
{
"created": "Mon, 25 Oct 1999 14:58:48 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Apr 2000 13:55:39 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Szabo",
"Richard J.",
""
],
[
"Wheater",
"John F.",
""
]
] |
We describe a simple lattice model of higher-curvature quantum gravity in two dimensions and study the phase structure of the theory as a function of the curvature coupling. It is shown that the ensemble of flat graphs is entropically unstable to the formation of baby universes. In these simplified models the growth in graphs exhibits a branched polymer behaviour in the phase directly before the flattening transition.
|
2209.12421
|
Yuanceng Xu
|
Yuanceng Xu, Yu Shi, Dong Wang, Qiyuan Pan
|
Holographic Entanglement Entropy and Complexity for D-Wave
Superconductors
|
22pages,8 figures,4 sections,1 appendix
|
Eur. Phys. J. C 83 ,202(2023)
|
10.1140/epjc/s10052-023-11327-y
| null |
hep-th cond-mat.supr-con
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
By using the RT formula and the subregion CV conjecture respectively, we
numerically investigate the holographic entanglement entropy (HEE) and
holographic subregion complexity (HSC) for two holographic d-wave
superconducting models with backreactions. We find that both the HEE and HSC
can be used as good probes to these two d-wave superconducting phase
transitions. The HEE of superconducting phase is always lower than that of the
normal phase due to the condensation of degrees of freedom below the critical
temperature Tc. However, for the HSC, it behaves differently and interestingly,
which depends on both the strip-width Lx and backreaction \k{appa}.
|
[
{
"created": "Mon, 26 Sep 2022 05:08:40 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Mar 2023 14:53:59 GMT",
"version": "v2"
}
] |
2023-03-09
|
[
[
"Xu",
"Yuanceng",
""
],
[
"Shi",
"Yu",
""
],
[
"Wang",
"Dong",
""
],
[
"Pan",
"Qiyuan",
""
]
] |
By using the RT formula and the subregion CV conjecture respectively, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that both the HEE and HSC can be used as good probes to these two d-wave superconducting phase transitions. The HEE of superconducting phase is always lower than that of the normal phase due to the condensation of degrees of freedom below the critical temperature Tc. However, for the HSC, it behaves differently and interestingly, which depends on both the strip-width Lx and backreaction \k{appa}.
|
hep-th/9403050
|
Gautam Mandal
|
Avinash Dhar, Gautam Mandal and Spenta R. Wadia
|
String Field Theory of Two Dimensional QCD: A Realization of W-infinity
Algebra
|
17 pages, (revised version with additional references and treatment
of the massive quark case), TIFR-TH-94/09
|
Phys.Lett. B329 (1994) 15-26
|
10.1016/0370-2693(94)90511-8
| null |
hep-th
| null |
We consider the formulation of two dimensional QCD in terms of gauge
invariant bilocal operators (string field) which satisfy a $W_\infty$ algebra.
In analogy with our work on the $c=1$ string field theory we derive an action
and associated constraints for the bilocal field using the method of coadjoint
orbits. The $1/N$ perturbation theory around a classical solution that
corresponds to the filled Dirac sea leads to the 'tHooft equation for meson
fluctuations. It is shown that the spectrum of mesons, which are the higher
string modes, transform as a representation of the wedge subalgebra
$W_{\infty+} \otimes W_{\infty-}$. We briefly discuss the baryon as a stringy
solitonic configuration and its characterization in terms of $W_\infty$
algebra.
|
[
{
"created": "Tue, 8 Mar 1994 15:09:24 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Mar 1994 17:47:12 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Dhar",
"Avinash",
""
],
[
"Mandal",
"Gautam",
""
],
[
"Wadia",
"Spenta R.",
""
]
] |
We consider the formulation of two dimensional QCD in terms of gauge invariant bilocal operators (string field) which satisfy a $W_\infty$ algebra. In analogy with our work on the $c=1$ string field theory we derive an action and associated constraints for the bilocal field using the method of coadjoint orbits. The $1/N$ perturbation theory around a classical solution that corresponds to the filled Dirac sea leads to the 'tHooft equation for meson fluctuations. It is shown that the spectrum of mesons, which are the higher string modes, transform as a representation of the wedge subalgebra $W_{\infty+} \otimes W_{\infty-}$. We briefly discuss the baryon as a stringy solitonic configuration and its characterization in terms of $W_\infty$ algebra.
|
2209.05620
|
Mahya Mohammadi
|
Mahya Mohammadi and Ahmad Sheykhi
|
Non-minimal coupling Gauss-Bonnet holographic superconductors
| null | null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
By employing the gauge/gravity duality, we disclose the effects of the
non-minimal coupling between the scalar and Maxwell fields on the holographic
superconductors in the probe limit. As the background spacetime, we consider a
five dimensional Gauss-Bonnet (GB) black hole with a flat horizon. We find out
that the critical temperature decreases for larger values of GB coupling
constant or smaller values of non-minimal coupling constant, which means that
the condensation is harder to form. In addition, we study the electrical
conductivity in the holographic setup. We show that at low frequency regime,
Kramers-Kronig relation connects both parts of conductivity to each other,
while at high frequency, two parts go up with constant slope.
|
[
{
"created": "Mon, 12 Sep 2022 21:26:11 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Nov 2022 15:07:30 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Dec 2022 10:11:12 GMT",
"version": "v3"
}
] |
2022-12-16
|
[
[
"Mohammadi",
"Mahya",
""
],
[
"Sheykhi",
"Ahmad",
""
]
] |
By employing the gauge/gravity duality, we disclose the effects of the non-minimal coupling between the scalar and Maxwell fields on the holographic superconductors in the probe limit. As the background spacetime, we consider a five dimensional Gauss-Bonnet (GB) black hole with a flat horizon. We find out that the critical temperature decreases for larger values of GB coupling constant or smaller values of non-minimal coupling constant, which means that the condensation is harder to form. In addition, we study the electrical conductivity in the holographic setup. We show that at low frequency regime, Kramers-Kronig relation connects both parts of conductivity to each other, while at high frequency, two parts go up with constant slope.
|
hep-th/0505202
|
Michael Dine
|
Michael Dine
|
The Intermediate Scale Branch of the Landscape
|
16 pages. More thorough analysis; additonal references
|
JHEP 0601 (2006) 162
|
10.1088/1126-6708/2006/01/162
|
scipp2005/03
|
hep-th
| null |
Three branches of the string theory landscape have plausibly been identified.
One of these branches is expected to exhibit a roughly logarithmic distribution
of supersymmetry breaking scales. The original KKLT models are in this class.
We argue that certain features of the KKLT model are generic to this branch,
and that the resulting phenomenology depends on a small set of discrete
choices. As in the MSSM, the weak scale in these theories is tuned; a possible
explanation is selection for the dark matter density.
|
[
{
"created": "Mon, 23 May 2005 17:39:52 GMT",
"version": "v1"
},
{
"created": "Sun, 4 Dec 2005 05:56:50 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Dine",
"Michael",
""
]
] |
Three branches of the string theory landscape have plausibly been identified. One of these branches is expected to exhibit a roughly logarithmic distribution of supersymmetry breaking scales. The original KKLT models are in this class. We argue that certain features of the KKLT model are generic to this branch, and that the resulting phenomenology depends on a small set of discrete choices. As in the MSSM, the weak scale in these theories is tuned; a possible explanation is selection for the dark matter density.
|
hep-th/9909101
|
Ofer Aharony
|
Ofer Aharony and Micha Berkooz
|
IR Dynamics of d=2, N=(4,4) Gauge Theories and DLCQ of "Little String
Theories"
|
37 pages, harvmac. v2: very minor changes
|
JHEP 9910:030,1999
|
10.1088/1126-6708/1999/10/030
|
PUPT-1886, RUNHETC-99-31
|
hep-th
| null |
We analyze the superconformal theories (SCFTs) which arise in the low-energy
limit of N=(4,4) supersymmetric gauge theories in two dimensions, primarily the
Higgs branch SCFT. By a direct field theory analysis we find a continuum of
"throat"-like states localized near the singularities of the Higgs branch. The
"throat" is similar to the "throat" found in the Coulomb branch of the same
theories, but the full superconformal field theories of the two branches are
different. A particular example is the SCFT of the R^4/Z_2 sigma model with
zero theta angle. In the application of the Higgs branch SCFTs to the DLCQ
description of "little string theories" (LSTs), the "throat" continuum is
identified with the continuum of "throat" states in the holographic description
of the LSTs. We also match the descriptions of the string interactions (in the
"throat" region) in the DLCQ and holographic descriptions of the N=(2,0) LSTs.
|
[
{
"created": "Tue, 14 Sep 1999 22:33:57 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Oct 1999 18:17:53 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Aharony",
"Ofer",
""
],
[
"Berkooz",
"Micha",
""
]
] |
We analyze the superconformal theories (SCFTs) which arise in the low-energy limit of N=(4,4) supersymmetric gauge theories in two dimensions, primarily the Higgs branch SCFT. By a direct field theory analysis we find a continuum of "throat"-like states localized near the singularities of the Higgs branch. The "throat" is similar to the "throat" found in the Coulomb branch of the same theories, but the full superconformal field theories of the two branches are different. A particular example is the SCFT of the R^4/Z_2 sigma model with zero theta angle. In the application of the Higgs branch SCFTs to the DLCQ description of "little string theories" (LSTs), the "throat" continuum is identified with the continuum of "throat" states in the holographic description of the LSTs. We also match the descriptions of the string interactions (in the "throat" region) in the DLCQ and holographic descriptions of the N=(2,0) LSTs.
|
hep-th/0312319
|
Rolf Schimmrigk
|
M. Lynker, R. Schimmrigk, S. Stewart
|
Complex Multiplication of Exactly Solvable Calabi-Yau Varieties
|
44 pages
|
Nucl.Phys. B700 (2004) 463-489
|
10.1016/j.nuclphysb.2004.08.007
|
NSF-KITP-03-112
|
hep-th
| null |
We propose a conceptual framework that leads to an abstract characterization
for the exact solvability of Calabi-Yau varieties in terms of abelian varieties
with complex multiplication. The abelian manifolds are derived from the
cohomology of the Calabi-Yau manifold, and the conformal field theoretic
quantities of the underlying string emerge from the number theoretic structure
induced on the varieties by the complex multiplication symmetry. The geometric
structure that provides a conceptual interpretation of the relation between
geometry and the conformal field theory is discrete, and turns out to be given
by the torsion points on the abelian varieties.
|
[
{
"created": "Tue, 30 Dec 2003 23:55:04 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Lynker",
"M.",
""
],
[
"Schimmrigk",
"R.",
""
],
[
"Stewart",
"S.",
""
]
] |
We propose a conceptual framework that leads to an abstract characterization for the exact solvability of Calabi-Yau varieties in terms of abelian varieties with complex multiplication. The abelian manifolds are derived from the cohomology of the Calabi-Yau manifold, and the conformal field theoretic quantities of the underlying string emerge from the number theoretic structure induced on the varieties by the complex multiplication symmetry. The geometric structure that provides a conceptual interpretation of the relation between geometry and the conformal field theory is discrete, and turns out to be given by the torsion points on the abelian varieties.
|
hep-th/0212349
|
Edward Witten
|
Edward Witten
|
Singularities in string theory
| null |
Proceedings of the ICM, Beijing 2002, vol. 1, 495--504
| null |
ICM-2002
|
hep-th math.AG
| null |
String theory is a quantum theory that reproduces the results of General
Relativity at long distances but is completely different at short distances.
Mathematically, string theory is based on a very new -- and little understood
-- framework for geometry that reduces to ordinary differential geometry when
the curvature is asymptotically small. In the 1990's, many interesting results
were obtained about the behavior of string theory in spacetimes that develop
singularities. In many cases, the physics at the singularity is governed by an
effective Lagrangian constructed using an interesting bit of classical geometry
such as the association of A-D-E groups with certain hypersurface singularities
or the ADHM construction of instantons. In other examples, the physics at the
singularity cannot be described in classical terms but involves a non-Gaussian
conformal field theory.
|
[
{
"created": "Sun, 1 Dec 2002 00:00:00 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Witten",
"Edward",
""
]
] |
String theory is a quantum theory that reproduces the results of General Relativity at long distances but is completely different at short distances. Mathematically, string theory is based on a very new -- and little understood -- framework for geometry that reduces to ordinary differential geometry when the curvature is asymptotically small. In the 1990's, many interesting results were obtained about the behavior of string theory in spacetimes that develop singularities. In many cases, the physics at the singularity is governed by an effective Lagrangian constructed using an interesting bit of classical geometry such as the association of A-D-E groups with certain hypersurface singularities or the ADHM construction of instantons. In other examples, the physics at the singularity cannot be described in classical terms but involves a non-Gaussian conformal field theory.
|
0911.2781
|
Shin'ichi Nojiri
|
Shin'ichi Nojiri and Sergei D. Odintsov
|
Is the future universe singular: Dark Matter versus modified gravity?
|
LaTeX 9 pages
| null |
10.1016/j.physletb.2010.02.017
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The fundamental problem of the occurrence/removal of finite-time future
singularity in the universe evolution for coupled dark energy (DE) is
addressed. It is demonstrated the existence of the (instable or local minimum)
de Sitter space solution which may cure the Type II or Type IV future
singularity for DE coupled with DM as the result of tuning the initial
conditions. In case of phantom DE, the corresponding coupling may help to
resolve the coincidence problem but not the Big Rip (Type I) singularity issue.
We show that modified gravity of special form or inhomogeneous DE fluid may
offer the universal scenario to cure the Type I,II,III or IV future singularity
of coupled (fluid or scalar) DE evolution.
|
[
{
"created": "Sat, 14 Nov 2009 15:40:16 GMT",
"version": "v1"
}
] |
2015-05-14
|
[
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] |
The fundamental problem of the occurrence/removal of finite-time future singularity in the universe evolution for coupled dark energy (DE) is addressed. It is demonstrated the existence of the (instable or local minimum) de Sitter space solution which may cure the Type II or Type IV future singularity for DE coupled with DM as the result of tuning the initial conditions. In case of phantom DE, the corresponding coupling may help to resolve the coincidence problem but not the Big Rip (Type I) singularity issue. We show that modified gravity of special form or inhomogeneous DE fluid may offer the universal scenario to cure the Type I,II,III or IV future singularity of coupled (fluid or scalar) DE evolution.
|
hep-th/9607140
| null |
Stefano De Leo and Khaled Abdel-Khalek (Dip. di Fisica, INFN, Lecce)
|
Octonionic Representations of GL(8,R) and GL(4,C)
|
14 pages, Revtex, J. Math. Phys. (submitted)
|
J.Math.Phys. 38 (1997) 582-598
|
10.1063/1.531879
| null |
hep-th
| null |
Octonionic algebra being nonassociative is difficult to manipulate. We
introduce left-right octonionic barred operators which enable us to reproduce
the associative GL(8,R) group. Extracting the basis of GL(4,C), we establish an
interesting connection between the structure of left-right octonionic barred
operators and generic 4x4 complex matrices. As an application we give an
octonionic representation of the 4-dimensional Clifford algebra.
|
[
{
"created": "Wed, 17 Jul 1996 09:14:32 GMT",
"version": "v1"
},
{
"created": "Thu, 18 Jul 1996 07:28:44 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"De Leo",
"Stefano",
"",
"Dip. di Fisica, INFN, Lecce"
],
[
"Abdel-Khalek",
"Khaled",
"",
"Dip. di Fisica, INFN, Lecce"
]
] |
Octonionic algebra being nonassociative is difficult to manipulate. We introduce left-right octonionic barred operators which enable us to reproduce the associative GL(8,R) group. Extracting the basis of GL(4,C), we establish an interesting connection between the structure of left-right octonionic barred operators and generic 4x4 complex matrices. As an application we give an octonionic representation of the 4-dimensional Clifford algebra.
|
2009.04223
|
Fabio Ferrari Ruffino
|
Fabio Ferrari Ruffino, Juan Carlos Rocha Barriga
|
Twisted differential K-characters and D-branes
|
75 pages, to appear in Nuclear Physics, Section B
| null |
10.1016/j.nuclphysb.2020.115169
| null |
hep-th math-ph math.AT math.DG math.KT math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We analyse in detail the language of partially non-abelian Deligne cohomology
and of twisted differential K-theory, in order to describe the geometry of type
II superstring backgrounds with D-branes. This description will also provide
the opportunity to show some mathematical results of independent interest. In
particular, we begin classifying the possible gauge theories on a D-brane or on
a stack of D-branes using the intrinsic tool of long exact sequences.
Afterwards, we recall how to construct two relevant models of differential
twisted K-theory, paying particular attention to the dependence on the twisting
cocycle within its cohomology class. In this way we will be able to define
twisted K-homology and twisted Cheeger-Simons K-characters in the category of
simply-connected manifolds, eliminating any unnatural dependence on the
cocycle. The ambiguity left for non simply-connected manifolds will naturally
correspond to the ambiguity in the gauge theory, following the previous
classification. This picture will allow for a complete characterization of
D-brane world-volumes, the Wess-Zumino action and topological D-brane charges
within the K-theoretical framework, that can be compared step by step to the
old cohomological classification. This has already been done for backgrounds
with vanishing B-field; here we remove this hypothesis.
|
[
{
"created": "Tue, 8 Sep 2020 13:54:06 GMT",
"version": "v1"
}
] |
2020-10-28
|
[
[
"Ruffino",
"Fabio Ferrari",
""
],
[
"Barriga",
"Juan Carlos Rocha",
""
]
] |
We analyse in detail the language of partially non-abelian Deligne cohomology and of twisted differential K-theory, in order to describe the geometry of type II superstring backgrounds with D-branes. This description will also provide the opportunity to show some mathematical results of independent interest. In particular, we begin classifying the possible gauge theories on a D-brane or on a stack of D-branes using the intrinsic tool of long exact sequences. Afterwards, we recall how to construct two relevant models of differential twisted K-theory, paying particular attention to the dependence on the twisting cocycle within its cohomology class. In this way we will be able to define twisted K-homology and twisted Cheeger-Simons K-characters in the category of simply-connected manifolds, eliminating any unnatural dependence on the cocycle. The ambiguity left for non simply-connected manifolds will naturally correspond to the ambiguity in the gauge theory, following the previous classification. This picture will allow for a complete characterization of D-brane world-volumes, the Wess-Zumino action and topological D-brane charges within the K-theoretical framework, that can be compared step by step to the old cohomological classification. This has already been done for backgrounds with vanishing B-field; here we remove this hypothesis.
|
1508.03232
|
Derek Harland
|
Derek Harland and Daniel Nogradi
|
On the charge density and asymptotic tail of a monopole
|
19 pages, one figure
| null |
10.1063/1.4941982
| null |
hep-th math.DG
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a new definition for the abelian magnetic charge density of a
non-abelian monopole, based on zero-modes of an associated Dirac operator.
Unlike the standard definition of the charge density, this density is smooth in
the core of the monopole. We show that this charge density induces a magnetic
field whose expansion in powers of 1/r agrees with that of the conventional
asymptotic magnetic field to all orders. We also show that the asymptotic field
can be easily calculated from the spectral curve. Explicit examples are given
for known monopole solutions.
|
[
{
"created": "Thu, 13 Aug 2015 14:32:41 GMT",
"version": "v1"
}
] |
2016-03-23
|
[
[
"Harland",
"Derek",
""
],
[
"Nogradi",
"Daniel",
""
]
] |
We propose a new definition for the abelian magnetic charge density of a non-abelian monopole, based on zero-modes of an associated Dirac operator. Unlike the standard definition of the charge density, this density is smooth in the core of the monopole. We show that this charge density induces a magnetic field whose expansion in powers of 1/r agrees with that of the conventional asymptotic magnetic field to all orders. We also show that the asymptotic field can be easily calculated from the spectral curve. Explicit examples are given for known monopole solutions.
|
hep-th/0506064
|
Laura Tamassia
|
Laura Tamassia
|
Noncommutative Supersymmetric/Integrable Models and String Theory
|
Ph.D. thesis; 185 pages, 30 figures. v3: more references added
|
Scientifica Acta Quaderni del Dottorato, Vol. XX, N. 3,
15/09/2005, ISSN 0394 2309
| null | null |
hep-th
| null |
In this thesis my papers hep-th/0104190, hep-th/0310214, hep-th/0405072 and
hep-th/0406065 are put into context. The thesis is mainly focused on
noncommutative field theory and string theory, so results in the papers that
are not related to this main theme are not discussed in detail. The thesis is
almost selfcontained and in particular the first chapter might be useful as an
introduction to non(anti)commutative geometry and its relation to superstring
theory for beginners in the field. The following chapters also contain some
review material that is not present in the papers, concerning some selected
topics in the theory of integrable models and a discussion of the main features
of the pure spinor approach to superstrings. The thesis was handed in in
October 2004, so the bibliography only refers to work appeared on the web
before this date.
|
[
{
"created": "Wed, 8 Jun 2005 13:45:09 GMT",
"version": "v1"
},
{
"created": "Thu, 9 Jun 2005 19:34:09 GMT",
"version": "v2"
},
{
"created": "Mon, 27 Jun 2005 14:25:38 GMT",
"version": "v3"
}
] |
2007-05-23
|
[
[
"Tamassia",
"Laura",
""
]
] |
In this thesis my papers hep-th/0104190, hep-th/0310214, hep-th/0405072 and hep-th/0406065 are put into context. The thesis is mainly focused on noncommutative field theory and string theory, so results in the papers that are not related to this main theme are not discussed in detail. The thesis is almost selfcontained and in particular the first chapter might be useful as an introduction to non(anti)commutative geometry and its relation to superstring theory for beginners in the field. The following chapters also contain some review material that is not present in the papers, concerning some selected topics in the theory of integrable models and a discussion of the main features of the pure spinor approach to superstrings. The thesis was handed in in October 2004, so the bibliography only refers to work appeared on the web before this date.
|
1906.08002
|
Junji Yamamoto
|
Hiroyuki Abe, Tatsuo Kobayashi, Shohei Uemura and Junji Yamamoto
|
Revisiting instabilities of $S^1/Z_2$ models with loop-induced
Fayet-Iliopoulos terms
|
18 pages, 1 figure
|
Phys. Rev. D 100, 065020 (2019)
|
10.1103/PhysRevD.100.065020
|
EPHOU-19-009, WU-HEP-19-05, KUNS-2766
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric $U(1)$
gauge theory compactified on $S^1/Z_2$. In this model, loop diagrams including
matter hypermultiplets and brane chiral multiplets induce FI-terms localized at
the fixed points. Localized FI-terms lead instabilities of bulk modes. The form
of the induced FI-terms strictly depends on wave function profiles of matter
multiplets. It is a non-trivial question whether the vacuum of 1-loop corrected
potential is stable under radiative corrections. We investigate this issue and
it is found that the stable configuration is obtained when the bulk zero modes
shield the brane charge completely.
|
[
{
"created": "Wed, 19 Jun 2019 09:52:33 GMT",
"version": "v1"
}
] |
2019-10-02
|
[
[
"Abe",
"Hiroyuki",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Uemura",
"Shohei",
""
],
[
"Yamamoto",
"Junji",
""
]
] |
We study Fayet-Iliopoulos (FI) terms of 5-dimensional supersymmetric $U(1)$ gauge theory compactified on $S^1/Z_2$. In this model, loop diagrams including matter hypermultiplets and brane chiral multiplets induce FI-terms localized at the fixed points. Localized FI-terms lead instabilities of bulk modes. The form of the induced FI-terms strictly depends on wave function profiles of matter multiplets. It is a non-trivial question whether the vacuum of 1-loop corrected potential is stable under radiative corrections. We investigate this issue and it is found that the stable configuration is obtained when the bulk zero modes shield the brane charge completely.
|
0705.1561
|
Leonard Parker
|
Xing Huang and Leonard Parker
|
Graviton Propagator in a Covariant Massive Gravity Theory
|
7 pages. Submitted to Physical Review D
| null | null | null |
hep-th
| null |
We study the massive gravity theory proposed by Arkani-Hamed, Georgi and
Schwartz. In this theory, the graviton becomes massive when general covariance
is spontaneously broken through the introduction of a field that links two
metrics, one of the which will eventually decouple. The excitation of this
"link" field acts like a Goldstone boson in giving mass to the graviton. We
work out the graviton and Goldstone boson propagators explicitly by means of
gauge fixing terms similar to the renormalizability gauges used in gauge
theories. With these propagators, we calculate the lowest order tree-level
interaction between two external energy momentum tensors. The result is
independent of the gauge parameter, but different from the prediction of
massless gravity theory, i.e., general relativity. This difference remains even
if the mass of the graviton goes to zero, in which case it gives the van
Dam-Veltman-Zakharov (vDVZ) discontinuity between the propagators of a massive
and massless linearized graviton. Moreover, we show that the Fierz-Pauli
graviton mass term can be considered as the ``unitary gauge'' of a more general
theory with an extra scalar field. We explicitly construct such a theory in
which the vDVZ discontinuity arises with a graviton mass term that is different
from the Fierz-Pauli mass term. This theory has a local Weyl symmetry under
conformal transformations of the metric. In the case when the mass goes to
zero, the Weyl summetry becomes a global symmetry. It is possible that the
local Weyl symmetry will give a hint as to the form of the corresponding fully
nonlinear theory having a nonzero graviton mass.
|
[
{
"created": "Thu, 10 May 2007 22:23:38 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Huang",
"Xing",
""
],
[
"Parker",
"Leonard",
""
]
] |
We study the massive gravity theory proposed by Arkani-Hamed, Georgi and Schwartz. In this theory, the graviton becomes massive when general covariance is spontaneously broken through the introduction of a field that links two metrics, one of the which will eventually decouple. The excitation of this "link" field acts like a Goldstone boson in giving mass to the graviton. We work out the graviton and Goldstone boson propagators explicitly by means of gauge fixing terms similar to the renormalizability gauges used in gauge theories. With these propagators, we calculate the lowest order tree-level interaction between two external energy momentum tensors. The result is independent of the gauge parameter, but different from the prediction of massless gravity theory, i.e., general relativity. This difference remains even if the mass of the graviton goes to zero, in which case it gives the van Dam-Veltman-Zakharov (vDVZ) discontinuity between the propagators of a massive and massless linearized graviton. Moreover, we show that the Fierz-Pauli graviton mass term can be considered as the ``unitary gauge'' of a more general theory with an extra scalar field. We explicitly construct such a theory in which the vDVZ discontinuity arises with a graviton mass term that is different from the Fierz-Pauli mass term. This theory has a local Weyl symmetry under conformal transformations of the metric. In the case when the mass goes to zero, the Weyl summetry becomes a global symmetry. It is possible that the local Weyl symmetry will give a hint as to the form of the corresponding fully nonlinear theory having a nonzero graviton mass.
|
1310.5278
|
Alexander Sorin
|
P. Fre, A.S. Sorin
|
Axial Symmetric Kahler manifolds, the D-map of Inflaton Potentials and
the Picard-Fuchs Equation
|
59 pages, LaTex, 18 eps figures, 2 tables; v2: misprints corrected,
one reference added and some credit assessments reformulated
| null |
10.1002/prop.201300031
| null |
hep-th astro-ph.CO gr-qc hep-ph math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we provide a definition of the D-map, namely of the
mathematical construction implicitly utilized by supergravity that associates
an axial symmetric Kahler surface to every positive definite potential function
V(phi). The properties of the D-map are discussed in general. Then the D-map is
applied to the list of integrable cosmological potentials classified by us in a
previous publication with A. Sagnotti. Several interesting geometrical and
analytical properties of the manifolds in the image of this D-map are
discovered and illustrated. As a by-product of our analysis we demonstrate the
existence of (integrable) Starobinsky-like potentials that can be embedded into
supergravity. Some of them follow from constant curvature Kahler manifolds. In
the quest for a microscopic interpretation of inflaton dynamics we present the
Ariadne's thread provided by a new mathematical concept that we introduce under
the name of axial symmetric descendants of one dimensional special Kahler
manifolds. By means of this token we define a clearcut algorithm that to each
potential function V(phi) associates a unique 4th order Picard-Fuchs equation
of restricted type. Such an equation encodes information on the chiral ring of
a superconformal field theory to be sought for, unveiling in this way a
microscopic interpretation of the inflaton potential. We conjecture that the
physical mechanism at the basis of the transition from a special manifold to
its axial symmetric descendant is probably the construction of an Open String
descendant of a Closed String model.
|
[
{
"created": "Sat, 19 Oct 2013 23:12:36 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Oct 2013 10:21:23 GMT",
"version": "v2"
}
] |
2016-01-20
|
[
[
"Fre",
"P.",
""
],
[
"Sorin",
"A. S.",
""
]
] |
In this paper we provide a definition of the D-map, namely of the mathematical construction implicitly utilized by supergravity that associates an axial symmetric Kahler surface to every positive definite potential function V(phi). The properties of the D-map are discussed in general. Then the D-map is applied to the list of integrable cosmological potentials classified by us in a previous publication with A. Sagnotti. Several interesting geometrical and analytical properties of the manifolds in the image of this D-map are discovered and illustrated. As a by-product of our analysis we demonstrate the existence of (integrable) Starobinsky-like potentials that can be embedded into supergravity. Some of them follow from constant curvature Kahler manifolds. In the quest for a microscopic interpretation of inflaton dynamics we present the Ariadne's thread provided by a new mathematical concept that we introduce under the name of axial symmetric descendants of one dimensional special Kahler manifolds. By means of this token we define a clearcut algorithm that to each potential function V(phi) associates a unique 4th order Picard-Fuchs equation of restricted type. Such an equation encodes information on the chiral ring of a superconformal field theory to be sought for, unveiling in this way a microscopic interpretation of the inflaton potential. We conjecture that the physical mechanism at the basis of the transition from a special manifold to its axial symmetric descendant is probably the construction of an Open String descendant of a Closed String model.
|
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