id stringlengths 9 14 | submitter stringlengths 1 50 ⌀ | authors stringlengths 5 666 | title stringlengths 5 242 | comments stringlengths 1 609 ⌀ | journal-ref stringlengths 9 243 ⌀ | doi stringlengths 12 113 ⌀ | report-no stringlengths 2 204 ⌀ | categories stringlengths 6 112 | license stringclasses 9 values | orig_abstract stringlengths 21 2.11k | versions listlengths 1 26 | update_date stringlengths 10 10 | authors_parsed listlengths 1 38 | abstract stringlengths 18 2.11k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1501.03752 | Manuel Asorey | M. Asorey, D. Garcia-Alvarez and J.M. Munoz-Castaneda | Boundary Effects in Bosonic and Fermionic Field Theories | 11 pages | null | null | null | hep-th math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The dynamics of quantum field theories on bounded domains requires the
introduction of boundary conditions on the quantum fields. We address the
problem from a very general perspective by using charge conservation as a
fundamental principle for scalar and fermionic quantum field theories.
Unitarity arises as a consequence of the choice of charge preserving boundary
conditions. This provides a powerful framework for the analysis of global
geometrical and topological properties of the space of physical boundary
conditions. Boundary conditions which allow the existence of edge states can
only arise in theories with a mass gap which is also a physical requirement for
topological insulators.
| [
{
"created": "Thu, 15 Jan 2015 17:37:26 GMT",
"version": "v1"
}
] | 2015-01-16 | [
[
"Asorey",
"M.",
""
],
[
"Garcia-Alvarez",
"D.",
""
],
[
"Munoz-Castaneda",
"J. M.",
""
]
] | The dynamics of quantum field theories on bounded domains requires the introduction of boundary conditions on the quantum fields. We address the problem from a very general perspective by using charge conservation as a fundamental principle for scalar and fermionic quantum field theories. Unitarity arises as a consequence of the choice of charge preserving boundary conditions. This provides a powerful framework for the analysis of global geometrical and topological properties of the space of physical boundary conditions. Boundary conditions which allow the existence of edge states can only arise in theories with a mass gap which is also a physical requirement for topological insulators. |
2304.08850 | V. Didenko | V.E. Didenko and A.V. Korybut | Interaction of symmetric higher-spin gauge fields | 34 pages, minor changes, replaced with the journal version; v3:
cosmetic changes, vertex integration domain fixed | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the recently proposed equations for holomorphic sector of
higher-spin theory in $d=4$, also known as chiral, can be naturally extended to
describe interacting symmetric higher-spin gauge fields in any dimension. This
is achieved with the aid of Vasiliev's off shell higher-spin algebra. The
latter contains ideal associated to traces that has to be factored out in order
to set the equations on shell. To identify the ideal in interactions we observe
the global $sp(2)$ that underlies it to all orders. The $sp(2)$ field dependent
generators are found in closed form and appear to be remarkably simple. The
traceful higher-spin vertices are analyzed against locality and shown to be
all-order space-time spin-local in the gauge sector, as well as spin-local in
the Weyl sector. The vertices are found manifestly in the form of curious
integrals over hypersimplices. We also extend to any $d$ the earlier observed
in $d=4$ higher-spin shift symmetry known to be tightly related to
spin-locality.
| [
{
"created": "Tue, 18 Apr 2023 09:34:32 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Oct 2023 15:28:37 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Apr 2024 11:19:48 GMT",
"version": "v3"
}
] | 2024-04-05 | [
[
"Didenko",
"V. E.",
""
],
[
"Korybut",
"A. V.",
""
]
] | We show that the recently proposed equations for holomorphic sector of higher-spin theory in $d=4$, also known as chiral, can be naturally extended to describe interacting symmetric higher-spin gauge fields in any dimension. This is achieved with the aid of Vasiliev's off shell higher-spin algebra. The latter contains ideal associated to traces that has to be factored out in order to set the equations on shell. To identify the ideal in interactions we observe the global $sp(2)$ that underlies it to all orders. The $sp(2)$ field dependent generators are found in closed form and appear to be remarkably simple. The traceful higher-spin vertices are analyzed against locality and shown to be all-order space-time spin-local in the gauge sector, as well as spin-local in the Weyl sector. The vertices are found manifestly in the form of curious integrals over hypersimplices. We also extend to any $d$ the earlier observed in $d=4$ higher-spin shift symmetry known to be tightly related to spin-locality. |
1805.09706 | Sergey Fedoruk | I.L. Buchbinder, S. Fedoruk, A.P. Isaev, A. Rusnak | Model of massless relativistic particle with continuous spin and its
twistorial description | 1 + 19 pages, v3: minor corrections in the published version | JHEP 1807 (2018) 031 | 10.1007/JHEP07(2018)031 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new world-line Lagrangian model of the D=4 massless relativistic
particle with continuous spin and develop its twistorial formulation. The
description uses two Penrose twistors subjected to four first class
constraints. After the first quantization of the world-line twistorial model,
the wave function is defined by an unconstrained function on the
two-dimensional complex affine plane. We find the twistor transform that
determines the space-time field of the continuous spin particle through the
corresponding twistor one, which plays the role of a prepotential. It is shown
that this space-time field is an exact solution of the space-time constraints
defining the irreducible massless representation of the Poincare group with
continuous spin.
| [
{
"created": "Thu, 24 May 2018 14:52:58 GMT",
"version": "v1"
},
{
"created": "Thu, 7 Jun 2018 14:48:30 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Jul 2018 10:59:15 GMT",
"version": "v3"
}
] | 2018-08-01 | [
[
"Buchbinder",
"I. L.",
""
],
[
"Fedoruk",
"S.",
""
],
[
"Isaev",
"A. P.",
""
],
[
"Rusnak",
"A.",
""
]
] | We propose a new world-line Lagrangian model of the D=4 massless relativistic particle with continuous spin and develop its twistorial formulation. The description uses two Penrose twistors subjected to four first class constraints. After the first quantization of the world-line twistorial model, the wave function is defined by an unconstrained function on the two-dimensional complex affine plane. We find the twistor transform that determines the space-time field of the continuous spin particle through the corresponding twistor one, which plays the role of a prepotential. It is shown that this space-time field is an exact solution of the space-time constraints defining the irreducible massless representation of the Poincare group with continuous spin. |
2310.15031 | Yang Zhou | Feiyu Deng, Zhi Wang, Yang Zhou | End of the World Brane meets $T\bar{T}$ | 1+26 pages, 11 figures | JHEP 07 (2024) 036 | 10.1007/JHEP07(2024)036 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | End of the world branes in AdS have been recently used to study problems
deeply connected to quantum gravity, such as black hole evaporation and
holographic cosmology. With non-critical tension and Neumann boundary
condition, the end of the world brane often represents part of the degrees of
freedom in AdS gravity and geometrically it is only part of the entire
boundary. On the other hand, holographic $T\bar{T}$ deformation can also give a
boundary as a cutoff surface for AdS gravity. In this paper we consider AdS
gravity with both the end of the world boundary and the cutoff boundary. Using
partial reduction we obtain a brane world gravity glued to a $T\bar{T}$
deformed bath. We compute both entanglement entropy and Page curve, and find
agreement between the holographic results and island formula results.
| [
{
"created": "Mon, 23 Oct 2023 15:29:45 GMT",
"version": "v1"
}
] | 2024-07-08 | [
[
"Deng",
"Feiyu",
""
],
[
"Wang",
"Zhi",
""
],
[
"Zhou",
"Yang",
""
]
] | End of the world branes in AdS have been recently used to study problems deeply connected to quantum gravity, such as black hole evaporation and holographic cosmology. With non-critical tension and Neumann boundary condition, the end of the world brane often represents part of the degrees of freedom in AdS gravity and geometrically it is only part of the entire boundary. On the other hand, holographic $T\bar{T}$ deformation can also give a boundary as a cutoff surface for AdS gravity. In this paper we consider AdS gravity with both the end of the world boundary and the cutoff boundary. Using partial reduction we obtain a brane world gravity glued to a $T\bar{T}$ deformed bath. We compute both entanglement entropy and Page curve, and find agreement between the holographic results and island formula results. |
1905.11969 | Peter Lowdon | Sabrina Cotogno, C\'edric Lorc\'e, Peter Lowdon | Poincar\'e constraints on the gravitational form factors for massive
states with arbitrary spin | 18 pages | Phys. Rev. D 100, 045003 (2019) | 10.1103/PhysRevD.100.045003 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we analyse the constraints imposed by Poincar\'e symmetry on the
gravitational form factors appearing in the Lorentz decomposition of the
energy-momentum tensor matrix elements for massive states with arbitrary spin.
By adopting a distributional approach, we prove for the first time
non-perturbatively that the zero momentum transfer limit of the leading two
form factors in the decomposition are completely independent of the spin of the
states. It turns out that these constraints arise due to the general Poincar\'e
transformation and on-shell properties of the states, as opposed to the
specific characteristics of the individual Poincar\'e generators themselves. By
expressing these leading form factors in terms of generalised parton
distributions, we subsequently derive the linear and angular momentum sum rules
for states with arbitrary spin.
| [
{
"created": "Tue, 28 May 2019 17:46:28 GMT",
"version": "v1"
}
] | 2019-08-14 | [
[
"Cotogno",
"Sabrina",
""
],
[
"Lorcé",
"Cédric",
""
],
[
"Lowdon",
"Peter",
""
]
] | In this work we analyse the constraints imposed by Poincar\'e symmetry on the gravitational form factors appearing in the Lorentz decomposition of the energy-momentum tensor matrix elements for massive states with arbitrary spin. By adopting a distributional approach, we prove for the first time non-perturbatively that the zero momentum transfer limit of the leading two form factors in the decomposition are completely independent of the spin of the states. It turns out that these constraints arise due to the general Poincar\'e transformation and on-shell properties of the states, as opposed to the specific characteristics of the individual Poincar\'e generators themselves. By expressing these leading form factors in terms of generalised parton distributions, we subsequently derive the linear and angular momentum sum rules for states with arbitrary spin. |
hep-th/0005121 | Zachary Guralnik | Antonella Grassi, Zachary Guralnik, and Burt Ovrut (U. Penn) | Five-Brane BPS States in Heterotic M-Theory | LaTeX, 50 pages, 8 figures, minor changes, submitted to JHEP | JHEP 0101:037,2001 | 10.1088/1126-6708/2001/01/037 | UPR 887-T, OUTP-99-03P | hep-th | null | We present explicit methods for computing the discriminant curves and the
associated Kodaira type fiber degeneracies of elliptically fibered Calabi-Yau
threefolds. These methods are applied to a specific three-family, SU(5) grand
unified theory of particle physics within the context of Heterotic M-Theory. It
is demonstrated that there is always a region of moduli space where a bulk
space five-brane is wrapped on a pure fiber in the Calabi-Yau threefold.
Restricting the discussion to the smooth parts of the discriminant curve, we
explore the properties of the N=2 BPS supermultiplets that arise on the
worldvolume of this five-brane due to the degeneration of the elliptic fiber.
The associated degenerating M membranes are shown to project to string
junctions in the base space. We use string junction techniques to explicitly
compute the light BPS hyper- and vector multiplet spectrum for each Kodaira
type fiber near the smooth part of the discriminant curve in the SU(5) GUT
theory.
| [
{
"created": "Fri, 12 May 2000 22:19:38 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2000 14:24:05 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Sep 2000 20:40:56 GMT",
"version": "v3"
}
] | 2010-02-03 | [
[
"Grassi",
"Antonella",
"",
"U. Penn"
],
[
"Guralnik",
"Zachary",
"",
"U. Penn"
],
[
"Ovrut",
"Burt",
"",
"U. Penn"
]
] | We present explicit methods for computing the discriminant curves and the associated Kodaira type fiber degeneracies of elliptically fibered Calabi-Yau threefolds. These methods are applied to a specific three-family, SU(5) grand unified theory of particle physics within the context of Heterotic M-Theory. It is demonstrated that there is always a region of moduli space where a bulk space five-brane is wrapped on a pure fiber in the Calabi-Yau threefold. Restricting the discussion to the smooth parts of the discriminant curve, we explore the properties of the N=2 BPS supermultiplets that arise on the worldvolume of this five-brane due to the degeneration of the elliptic fiber. The associated degenerating M membranes are shown to project to string junctions in the base space. We use string junction techniques to explicitly compute the light BPS hyper- and vector multiplet spectrum for each Kodaira type fiber near the smooth part of the discriminant curve in the SU(5) GUT theory. |
2308.05436 | Yuya Kusuki | Andreas Karch, Yuya Kusuki, Hirosi Ooguri, Hao-Yu Sun, Mianqi Wang | Universality of Effective Central Charge in Interface CFTs | 25 pages, 10 figures, revising an error in Section 3.3 and adding
some explanations in Section 3.1 | null | null | CALT-TH 2023-031, IPMU 23-0025, RIKEN-iTHEMS-Report-23 | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When an interface connects two CFTs, the entanglement entropy between the two
CFTs is determined by a quantity called the effective central charge. The
effective central charge does not have a simple form in terms of the central
charges of the two CFTs, but intricately depends on the transmissive properties
of the interface. In this article, we examine universal properties of the
effective central charge. We first clarify how the effective central charge
appears when considering general subsystems of the interface CFT. Then using
this result and ideas used in the proof of the $c$-theorem, we provide a
universal upper bound on the effective central charge.
In past studies, the effective central charge was defined only in two
dimensions. We propose an analogue of the effective central charge in general
dimensions possessing similar universal properties as in two dimensions.
| [
{
"created": "Thu, 10 Aug 2023 08:49:54 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Nov 2023 20:21:30 GMT",
"version": "v2"
},
{
"created": "Tue, 19 Dec 2023 01:15:10 GMT",
"version": "v3"
}
] | 2023-12-20 | [
[
"Karch",
"Andreas",
""
],
[
"Kusuki",
"Yuya",
""
],
[
"Ooguri",
"Hirosi",
""
],
[
"Sun",
"Hao-Yu",
""
],
[
"Wang",
"Mianqi",
""
]
] | When an interface connects two CFTs, the entanglement entropy between the two CFTs is determined by a quantity called the effective central charge. The effective central charge does not have a simple form in terms of the central charges of the two CFTs, but intricately depends on the transmissive properties of the interface. In this article, we examine universal properties of the effective central charge. We first clarify how the effective central charge appears when considering general subsystems of the interface CFT. Then using this result and ideas used in the proof of the $c$-theorem, we provide a universal upper bound on the effective central charge. In past studies, the effective central charge was defined only in two dimensions. We propose an analogue of the effective central charge in general dimensions possessing similar universal properties as in two dimensions. |
hep-th/9707073 | Matt Visser | Carmen Molina-Paris (Los Alamos) and Matt Visser (Washington
University) | Casimir effect in dielectrics: Surface area contribution | 12 pages; ReV-Tex in double-column format | Phys.Rev. D56 (1997) 6629-6639 | 10.1103/PhysRevD.56.6629 | null | hep-th | null | In this paper we take a deeper look at the technically elementary but
physically robust viewpoint in which the Casimir energy in dielectric media is
interpreted as the change in the total zero point energy of the electromagnetic
vacuum summed over all states. Extending results presented in previous papers
[hep-th/9609195; hep-th/9702007] we approximate the sum over states by an
integral over the density of states including finite volume corrections. For an
arbitrarily-shaped finite dielectric, the first finite-volume correction to the
density of states is shown to be proportional to the surface area of the
dielectric interface and is explicitly evaluated as a function of the
permeability and permitivity. Since these calculations are founded in an
elementary and straightforward way on the underlying physics of the Casimir
effect they serve as an important consistency check on field-theoretic
calculations. As a concrete example we discuss Schwinger's suggestion that the
Casimir effect might be the underlying physical basis behind sonoluminescence}.
The recent controversy concerning the relative importance of volume and surface
contributions is discussed. For sufficiently large bubbles the volume effect is
always dominant. Furthermore we can explicitly calculate the surface area
contribution as a function of refractive index.
| [
{
"created": "Tue, 8 Jul 1997 07:59:19 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Molina-Paris",
"Carmen",
"",
"Los Alamos"
],
[
"Visser",
"Matt",
"",
"Washington\n University"
]
] | In this paper we take a deeper look at the technically elementary but physically robust viewpoint in which the Casimir energy in dielectric media is interpreted as the change in the total zero point energy of the electromagnetic vacuum summed over all states. Extending results presented in previous papers [hep-th/9609195; hep-th/9702007] we approximate the sum over states by an integral over the density of states including finite volume corrections. For an arbitrarily-shaped finite dielectric, the first finite-volume correction to the density of states is shown to be proportional to the surface area of the dielectric interface and is explicitly evaluated as a function of the permeability and permitivity. Since these calculations are founded in an elementary and straightforward way on the underlying physics of the Casimir effect they serve as an important consistency check on field-theoretic calculations. As a concrete example we discuss Schwinger's suggestion that the Casimir effect might be the underlying physical basis behind sonoluminescence}. The recent controversy concerning the relative importance of volume and surface contributions is discussed. For sufficiently large bubbles the volume effect is always dominant. Furthermore we can explicitly calculate the surface area contribution as a function of refractive index. |
hep-th/0105302 | Gordon Chan | Gordon Chan | Prepotential Recursion Relations in N=2 Super-Yang Mills with Adjoint
Matter | Latex, 17 pages, added references, corrected typos | null | null | UCLA/01/TEP/8 | hep-th | null | Linear recursion relations for the instanton corrections to the effective
prepotential are derived for N=2 supersymmetric gauge theories with one
hypermultiplet in the adjoint representation of SU(N) using the Calogero-Moser
parameterization of the Seiberg-Witten spectral curves. S-duality properties of
the Calogero-Moser parameterization and conjectures on the Seiberg-Witten
spectral curves generalized to arbitrary simply laced classical gauge groups
are also discussed.
| [
{
"created": "Wed, 30 May 2001 08:16:08 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Jun 2001 21:19:14 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chan",
"Gordon",
""
]
] | Linear recursion relations for the instanton corrections to the effective prepotential are derived for N=2 supersymmetric gauge theories with one hypermultiplet in the adjoint representation of SU(N) using the Calogero-Moser parameterization of the Seiberg-Witten spectral curves. S-duality properties of the Calogero-Moser parameterization and conjectures on the Seiberg-Witten spectral curves generalized to arbitrary simply laced classical gauge groups are also discussed. |
2104.13387 | Adrien Kuntz | Adrien Kuntz, Francesco Serra, Enrico Trincherini | Effective two-body approach to the hierarchical three-body problem | 15 pages, 3 figures. Version accepted for publication in PRD | Phys. Rev. D 104, 024016 (2021) | 10.1103/PhysRevD.104.024016 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The motion of three bodies can be solved perturbatively when a tightly bound
inner binary is orbited by a distant perturber, giving rise for example to the
well-known Kozai-Lidov oscillations. We propose to study the relativistic
hierarchical three-body orbits by adapting the Effective Field Theory
techniques used in the two-body problem. This allows us to conveniently treat
the inner binary as an effective point-particle, thus reducing the complexity
of the three-body problem to a simpler spinning two-body motion. We present in
details the mapping between the inner binary osculating elements and the
resulting spin of the effective point-particle. Our study builds towards a
derivation of three-body analytic waveforms.
| [
{
"created": "Tue, 27 Apr 2021 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jul 2021 15:28:28 GMT",
"version": "v2"
}
] | 2021-07-14 | [
[
"Kuntz",
"Adrien",
""
],
[
"Serra",
"Francesco",
""
],
[
"Trincherini",
"Enrico",
""
]
] | The motion of three bodies can be solved perturbatively when a tightly bound inner binary is orbited by a distant perturber, giving rise for example to the well-known Kozai-Lidov oscillations. We propose to study the relativistic hierarchical three-body orbits by adapting the Effective Field Theory techniques used in the two-body problem. This allows us to conveniently treat the inner binary as an effective point-particle, thus reducing the complexity of the three-body problem to a simpler spinning two-body motion. We present in details the mapping between the inner binary osculating elements and the resulting spin of the effective point-particle. Our study builds towards a derivation of three-body analytic waveforms. |
hep-th/0511306 | Predrag Prester | Predrag Prester | Lovelock type gravity and small black holes in heterotic string theory | 14 pages, JHEP style | JHEP0602:039,2006 | 10.1088/1126-6708/2006/02/039 | AEI-2005-181 | hep-th | null | We analyze near horizon behavior of small D-dimensional 2-charge black holes
by modifying tree level effective action of heterotic string with all extended
Gauss-Bonnet densities. We show that there is a nontrivial and unique choice of
parameters, independent of D, for which the black hole entropy in any dimension
is given by 4\pi\sqrt{nw}, which is exactly the statistical entropy of 1/2-BPS
states of heterotic string compactified on T^{9-D}\times S^1 with momentum n
and winding w. This extends the results of Sen [JHEP 0507 (2005) 073] to all
dimensions. We also show that our Lovelock type action belongs to the more
general class of actions sharing the simmilar behaviour on the AdS_2\times
S^{D-2} near horizon geometry.
| [
{
"created": "Wed, 30 Nov 2005 15:43:10 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Prester",
"Predrag",
""
]
] | We analyze near horizon behavior of small D-dimensional 2-charge black holes by modifying tree level effective action of heterotic string with all extended Gauss-Bonnet densities. We show that there is a nontrivial and unique choice of parameters, independent of D, for which the black hole entropy in any dimension is given by 4\pi\sqrt{nw}, which is exactly the statistical entropy of 1/2-BPS states of heterotic string compactified on T^{9-D}\times S^1 with momentum n and winding w. This extends the results of Sen [JHEP 0507 (2005) 073] to all dimensions. We also show that our Lovelock type action belongs to the more general class of actions sharing the simmilar behaviour on the AdS_2\times S^{D-2} near horizon geometry. |
0906.5080 | Adolfo Malbouisson | F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson, A.E. Santana | Dimensional renormalizability in compactified spaces | 20 pages, 2 figures | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-nc-sa/3.0/ | We first briefly review some aspects of the techniques of dealing with
ultraviolet divergences in Feynman amplitudes in an Euclidian $D$-dimensional
space-time. Next we consider compactification of a $d$-dimensional ($d\leq D$)
subspace. This includes effects of temperature and of compactification of $d-1$
spatial coordinates. Then we show how dimensional renormalization can be
implemented for a field theory defined on this Euclidian space-time with a
compactified subspace.
| [
{
"created": "Sat, 27 Jun 2009 13:26:39 GMT",
"version": "v1"
}
] | 2009-10-15 | [
[
"Khanna",
"F. C.",
""
],
[
"Malbouisson",
"A. P. C.",
""
],
[
"Malbouisson",
"J. M. C.",
""
],
[
"Santana",
"A. E.",
""
]
] | We first briefly review some aspects of the techniques of dealing with ultraviolet divergences in Feynman amplitudes in an Euclidian $D$-dimensional space-time. Next we consider compactification of a $d$-dimensional ($d\leq D$) subspace. This includes effects of temperature and of compactification of $d-1$ spatial coordinates. Then we show how dimensional renormalization can be implemented for a field theory defined on this Euclidian space-time with a compactified subspace. |
1007.4374 | Marek Rogatko | Marek Rogatko | Uniqueness Theorem for Stationary Axisymmetric Black Holes in
Einstein-Maxwell-axion-dilaton Gravity | 10 pages, RevTex, to be published in Phys.Rev.D15 | Phys.Rev.D82:044017,2010 | 10.1103/PhysRevD.82.044017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove the uniqueness theorem for stationary axisymmetric black hole
solution in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit
of the heterotic string theory. We consider both non-degenerate and extremal
Kerr-Sen black hole solutions.
| [
{
"created": "Mon, 26 Jul 2010 04:31:03 GMT",
"version": "v1"
}
] | 2011-04-08 | [
[
"Rogatko",
"Marek",
""
]
] | We prove the uniqueness theorem for stationary axisymmetric black hole solution in Einstein-Maxwell-axion-dilaton gravity being the low-energy limit of the heterotic string theory. We consider both non-degenerate and extremal Kerr-Sen black hole solutions. |
2104.02312 | Tomohiro Matsuda | Seishi Enomoto and Tomohiro Matsuda | The Exact WKB and the Landau-Zener transition for asymmetry in
cosmological particle production | 24 pages, 20 figures, Extended introduction, accepted for publication
in JHEP | null | 10.1007/JHEP02(2022)131 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological particle production by a time-dependent scalar field is common
in cosmology. We focus on the mechanism of asymmetry production when
interaction explicitly violates symmetry and its motion is rapid enough to
create particles by itself. Combining the exact WKB analysis and the
Landau-Zener transition, we point out that perturbation before the
non-perturbative analysis may drastically change the structure of the Stokes
lines of the theory. The Exact WKB can play an important role in avoiding such
discrepancies.
| [
{
"created": "Tue, 6 Apr 2021 06:29:03 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jul 2021 02:54:05 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Feb 2022 03:00:12 GMT",
"version": "v3"
}
] | 2022-03-09 | [
[
"Enomoto",
"Seishi",
""
],
[
"Matsuda",
"Tomohiro",
""
]
] | Cosmological particle production by a time-dependent scalar field is common in cosmology. We focus on the mechanism of asymmetry production when interaction explicitly violates symmetry and its motion is rapid enough to create particles by itself. Combining the exact WKB analysis and the Landau-Zener transition, we point out that perturbation before the non-perturbative analysis may drastically change the structure of the Stokes lines of the theory. The Exact WKB can play an important role in avoiding such discrepancies. |
hep-th/0412218 | Yungui Gong | Yungui Gong, Bin Wang, Yuan-Zhong Zhang | The Holographic dark energy reexamined | divided into sections, add one figure, some typos corrected,
references added, Accepted for publication in PRD; v3: some typos corrected,
title changed | Phys.Rev. D72 (2005) 043510 | 10.1103/PhysRevD.72.043510 | null | hep-th astro-ph gr-qc | null | We have reexamined the holographic dark energy model by considering the
spatial curvature. We have refined the model parameter and observed that the
holographic dark energy model does not behave as phantom model. Comparing the
holographic dark energy model to the supernova observation alone, we found that
the closed universe is favored. Combining with the Wilkinson Microwave
Anisotropy Probe (WMAP) data, we obtained the reasonable value of the spatial
curvature of our universe.
| [
{
"created": "Sun, 19 Dec 2004 12:10:51 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Jul 2005 10:00:19 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Aug 2005 09:15:26 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Gong",
"Yungui",
""
],
[
"Wang",
"Bin",
""
],
[
"Zhang",
"Yuan-Zhong",
""
]
] | We have reexamined the holographic dark energy model by considering the spatial curvature. We have refined the model parameter and observed that the holographic dark energy model does not behave as phantom model. Comparing the holographic dark energy model to the supernova observation alone, we found that the closed universe is favored. Combining with the Wilkinson Microwave Anisotropy Probe (WMAP) data, we obtained the reasonable value of the spatial curvature of our universe. |
hep-th/9802198 | Vijay Balasubramanian | V. Balasubramanian and F. Larsen | Near Horizon Geometry and Black Holes in Four Dimensions | 9 pages, LaTeX, small clarifications, references added, version to
appear in Nucl. Phys. B | Nucl.Phys. B528 (1998) 229-237 | 10.1016/S0550-3213(98)00334-4 | HUTP/98-A013, UPT-794-T | hep-th gr-qc | null | A large class of extremal and near-extremal four dimensional black holes in
M-theory feature near horizon geometries that contain three dimensional
asymptotically anti-de Sitter spaces. Globally, these geometries are derived
from AdS_3 by discrete identifications. The microstates of such black holes can
be counted by exploiting the conformal symmetry induced on the anti-de Sitter
boundary, and the result agrees with the Bekenstein-Hawking area law. This
approach, pioneered by Strominger, clarifies the physical nature of the black
hole microstates. It also suggests that recent analyses of the relationship
between boundary conformal field theory and supergravity can be extended to
orbifolds of AdS spaces.
| [
{
"created": "Sat, 28 Feb 1998 00:36:37 GMT",
"version": "v1"
},
{
"created": "Wed, 11 Mar 1998 19:58:27 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Apr 1998 18:22:23 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Balasubramanian",
"V.",
""
],
[
"Larsen",
"F.",
""
]
] | A large class of extremal and near-extremal four dimensional black holes in M-theory feature near horizon geometries that contain three dimensional asymptotically anti-de Sitter spaces. Globally, these geometries are derived from AdS_3 by discrete identifications. The microstates of such black holes can be counted by exploiting the conformal symmetry induced on the anti-de Sitter boundary, and the result agrees with the Bekenstein-Hawking area law. This approach, pioneered by Strominger, clarifies the physical nature of the black hole microstates. It also suggests that recent analyses of the relationship between boundary conformal field theory and supergravity can be extended to orbifolds of AdS spaces. |
hep-th/0109118 | Carlos M. Naon | An\'ibal Iucci and Carlos Na\'on | Conformal Gaussian Approximation | 9 pages, 1 figure, missing figure added, figure caption corrected | null | null | La Plata-Th-01-11 | hep-th cond-mat.stat-mech | null | We present an alternative way to determine the unknown parameter associated
to a gaussian approximation in a generic two-dimensional model. Instead of the
standard variational approach, we propose a procedure based on a quantitative
prediction of conformal invariance, valid for systems in the scaling regime,
away from criticality. We illustrate our idea by considering, as an example,
the sine-Gordon model. Our method gives a good approximation for the soliton
mass as function of $\beta$.
| [
{
"created": "Fri, 14 Sep 2001 15:16:01 GMT",
"version": "v1"
},
{
"created": "Fri, 21 Sep 2001 19:11:34 GMT",
"version": "v2"
}
] | 2016-08-16 | [
[
"Iucci",
"Aníbal",
""
],
[
"Naón",
"Carlos",
""
]
] | We present an alternative way to determine the unknown parameter associated to a gaussian approximation in a generic two-dimensional model. Instead of the standard variational approach, we propose a procedure based on a quantitative prediction of conformal invariance, valid for systems in the scaling regime, away from criticality. We illustrate our idea by considering, as an example, the sine-Gordon model. Our method gives a good approximation for the soliton mass as function of $\beta$. |
hep-th/9403027 | Annette Holtkamp | Detlev Buchholz and Jakob Yngvason | There are No Causality Problems for Fermi's Two Atom System | 6 pages, latex, DESY 94-027 | Phys.Rev.Lett. 73 (1994) 613-616 | 10.1103/PhysRevLett.73.613 | null | hep-th | null | A repeatedly discussed gedanken experiment, proposed by Fermi to check
Einstein causality, is reconsidered. It is shown that, contrary to a recent
statement made by Hegerfeldt, there appears no causality paradoxon in a proper
theoretical description of the experiment.
| [
{
"created": "Fri, 4 Mar 1994 11:24:18 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Buchholz",
"Detlev",
""
],
[
"Yngvason",
"Jakob",
""
]
] | A repeatedly discussed gedanken experiment, proposed by Fermi to check Einstein causality, is reconsidered. It is shown that, contrary to a recent statement made by Hegerfeldt, there appears no causality paradoxon in a proper theoretical description of the experiment. |
1405.6350 | Sever Amit | Benjamin Basso, Amit Sever and Pedro Vieira | On the collinear limit of scattering amplitudes at strong coupling | 8 pages, 8 figures | Phys. Rev. Lett. 113, 261604 (2014) | 10.1103/PhysRevLett.113.261604 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we consider the collinear limit of gluon scattering amplitudes
in planar N=4 SYM theory at strong coupling. We argue that in this limit
scattering amplitudes map into correlators of twist fields in the two
dimensional non-linear O(6) sigma model, similar to those appearing in recent
studies of entanglement entropy. We provide evidence for this assertion by
combining the intuition springing from the string worldsheet picture and the
predictions coming from the OPE series. One of the main implications of these
considerations is that scattering amplitudes receive equally important
contributions at strong coupling from both the minimal string area and its
fluctuations in the sphere.
| [
{
"created": "Sat, 24 May 2014 22:29:46 GMT",
"version": "v1"
}
] | 2015-01-07 | [
[
"Basso",
"Benjamin",
""
],
[
"Sever",
"Amit",
""
],
[
"Vieira",
"Pedro",
""
]
] | In this letter we consider the collinear limit of gluon scattering amplitudes in planar N=4 SYM theory at strong coupling. We argue that in this limit scattering amplitudes map into correlators of twist fields in the two dimensional non-linear O(6) sigma model, similar to those appearing in recent studies of entanglement entropy. We provide evidence for this assertion by combining the intuition springing from the string worldsheet picture and the predictions coming from the OPE series. One of the main implications of these considerations is that scattering amplitudes receive equally important contributions at strong coupling from both the minimal string area and its fluctuations in the sphere. |
1503.08143 | Matteo Beccaria | M. Beccaria and A.A. Tseytlin | On higher spin partition functions | 35 pages. v3: minor clarifications, comments, and references added | null | null | Imperial-TP-AT-2015-01 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We observe that the partition function of the set of all free massless higher
spins s=0,1,2,3,... in flat space is equal to one: the ghost determinants
cancel against the "physical" ones or, equivalently, the (regularized) total
number of degrees of freedom vanishes. This reflects large underlying gauge
symmetry and suggests analogy with supersymmetric or topological theory. The
Z=1 property extends also to the AdS background, i.e. the 1-loop vacuum
partition function of Vasiliev theory is equal to 1 (assuming a particular
regularization of the sum over spins); this was noticed earlier as a
consistency requirement for the vectorial AdS/CFT duality. We find that Z=1 is
also true in the conformal higher spin theory (with higher-derivative d^{2s}
kinetic terms) expanded near flat or conformally flat S^4 background. We also
consider the partition function of free conformal theory of symmetric traceless
rank s tensor field which has 2-derivative kinetic term but only scalar gauge
invariance in flat 4d space. This non-unitary theory has a Weyl-invariant
action in curved background and corresponds to "partially massless" field in
AdS_5. We discuss in detail the special case of s=2 (or "conformal graviton"),
compute the corresponding conformal anomaly coefficients and compare them with
previously found expressions for generic representations of conformal group in
4 dimensions.
| [
{
"created": "Fri, 27 Mar 2015 16:48:35 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Apr 2015 11:15:07 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jun 2015 13:02:09 GMT",
"version": "v3"
}
] | 2015-06-08 | [
[
"Beccaria",
"M.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We observe that the partition function of the set of all free massless higher spins s=0,1,2,3,... in flat space is equal to one: the ghost determinants cancel against the "physical" ones or, equivalently, the (regularized) total number of degrees of freedom vanishes. This reflects large underlying gauge symmetry and suggests analogy with supersymmetric or topological theory. The Z=1 property extends also to the AdS background, i.e. the 1-loop vacuum partition function of Vasiliev theory is equal to 1 (assuming a particular regularization of the sum over spins); this was noticed earlier as a consistency requirement for the vectorial AdS/CFT duality. We find that Z=1 is also true in the conformal higher spin theory (with higher-derivative d^{2s} kinetic terms) expanded near flat or conformally flat S^4 background. We also consider the partition function of free conformal theory of symmetric traceless rank s tensor field which has 2-derivative kinetic term but only scalar gauge invariance in flat 4d space. This non-unitary theory has a Weyl-invariant action in curved background and corresponds to "partially massless" field in AdS_5. We discuss in detail the special case of s=2 (or "conformal graviton"), compute the corresponding conformal anomaly coefficients and compare them with previously found expressions for generic representations of conformal group in 4 dimensions. |
hep-th/9908077 | Sandip Trivedi | Atish Dabholkar and Sandip P. Trivedi | Discrete Flux as Quantum Hair | 15 pages, LaTex, no figures | JHEP 9910:033,1999 | 10.1088/1126-6708/1999/10/033 | TIFR-TH-99-41 | hep-th | null | We investigate Yang-Mills theory on a spatial torus at finite temperature in
the presence of discrete electric and magnetic fluxes using the AdS/CFT
correspondence. We calculate the leading dependence of the partition function
on the fluxes using the dual supergravity theory and comment upon the
interpretation of these fluxes as discrete quantum hair for black holes in AdS
spacetime.
| [
{
"created": "Tue, 10 Aug 1999 05:47:04 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Dabholkar",
"Atish",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We investigate Yang-Mills theory on a spatial torus at finite temperature in the presence of discrete electric and magnetic fluxes using the AdS/CFT correspondence. We calculate the leading dependence of the partition function on the fluxes using the dual supergravity theory and comment upon the interpretation of these fluxes as discrete quantum hair for black holes in AdS spacetime. |
hep-th/9802093 | Ron Donagi | Ron Y. Donagi | ICMP lecture on Heterotic/F-theory duality | 9 pages, Latex | null | null | null | hep-th math.AG | null | The heterotic string compactified on an (n-1)-dimensional elliptically
fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on
an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3
fibers. In particular, the moduli of the two theories should be isomorphic. The
cases most relevant to the physics are n=2, 3, 4, i.e. the compactification is
to dimensions d=8, 6 or 4 respectively. Mathematically, the richest picture
seems to emerge for n=3, where the moduli space involves an analytically
integrable system whose fibers admit rather different descriptions in the two
theories. The purpose of this talk is to review some of what is known and what
is not yet known about this conjectural isomorphism. Some of the underlying
mathematics of principal bundles on elliptic fibrations is reviewed in the
accompanying Taniguchi talk (hep-th/9802094).
| [
{
"created": "Thu, 12 Feb 1998 22:57:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Donagi",
"Ron Y.",
""
]
] | The heterotic string compactified on an (n-1)-dimensional elliptically fibered Calabi-Yau Z-->B is conjectured to be dual to F-theory compactified on an n-dimensional Calabi-Yau X-->B, fibered over the same base with elliptic K3 fibers. In particular, the moduli of the two theories should be isomorphic. The cases most relevant to the physics are n=2, 3, 4, i.e. the compactification is to dimensions d=8, 6 or 4 respectively. Mathematically, the richest picture seems to emerge for n=3, where the moduli space involves an analytically integrable system whose fibers admit rather different descriptions in the two theories. The purpose of this talk is to review some of what is known and what is not yet known about this conjectural isomorphism. Some of the underlying mathematics of principal bundles on elliptic fibrations is reviewed in the accompanying Taniguchi talk (hep-th/9802094). |
1003.5657 | Marika Taylor | Kostas Skenderis, Marika Taylor and Dimitrios Tsimpis | A consistent truncation of IIB supergravity on manifolds admitting a
Sasaki-Einstein structure | 21 pages; v2: references added and minor improvements | JHEP 1006:025,2010 | 10.1007/JHEP06(2010)025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a consistent truncation of IIB supergravity on manifolds admitting
a Sasaki-Einstein structure, which keeps the metric and five real scalar
fields. This theory can be further truncated to a constrained one-parameter
family that depends on only the metric and one scalar, as well as to a theory
with a metric and three scalars. The reduced theory admits supersymmetric and
non-supersymmetric AdS_5 and AdS_4 x R solutions. We analyze the spectrum
around the AdS critical points and identify the dual operators.
| [
{
"created": "Mon, 29 Mar 2010 19:58:23 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Apr 2010 19:12:15 GMT",
"version": "v2"
}
] | 2014-11-20 | [
[
"Skenderis",
"Kostas",
""
],
[
"Taylor",
"Marika",
""
],
[
"Tsimpis",
"Dimitrios",
""
]
] | We present a consistent truncation of IIB supergravity on manifolds admitting a Sasaki-Einstein structure, which keeps the metric and five real scalar fields. This theory can be further truncated to a constrained one-parameter family that depends on only the metric and one scalar, as well as to a theory with a metric and three scalars. The reduced theory admits supersymmetric and non-supersymmetric AdS_5 and AdS_4 x R solutions. We analyze the spectrum around the AdS critical points and identify the dual operators. |
1612.00609 | Subham Dutta Chowdhury | Subham Dutta Chowdhury, Justin R. David, Shiroman Prakash | Spectral sum rules for conformal field theories in arbitrary dimensions | Corrected typos, JHEP version | JHEP 07 (2017) 119 | 10.1007/JHEP07(2017)119 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive spectral sum rules in the shear channel for conformal field
theories at finite temperature in general $d\geq 3$ dimensions. The sum rules
result from the OPE of the stress tensor at high frequency as well as the
hydrodynamic behaviour of the theory at low frequencies. The sum rule states
that a weighted integral of the spectral density over frequencies is
proportional to the energy density of the theory. We show that the
proportionality constant can be written in terms the Hofman-Maldacena variables
$t_2, t_4$ which determine the three point function of the stress tensor. For
theories which admit a two derivative gravity dual this proportionality
constant is given by $\frac{d}{2(d+1)}$. We then use causality constraints and
obtain bounds on the sum rule which are valid in any conformal field theory.
Finally we demonstrate that the high frequency behaviour of the spectral
function in the vector and the tensor channel are also determined by the
Hofman-Maldacena variables.
| [
{
"created": "Fri, 2 Dec 2016 09:34:22 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Jan 2017 08:59:14 GMT",
"version": "v2"
},
{
"created": "Wed, 26 Jul 2017 08:38:27 GMT",
"version": "v3"
}
] | 2017-12-12 | [
[
"Chowdhury",
"Subham Dutta",
""
],
[
"David",
"Justin R.",
""
],
[
"Prakash",
"Shiroman",
""
]
] | We derive spectral sum rules in the shear channel for conformal field theories at finite temperature in general $d\geq 3$ dimensions. The sum rules result from the OPE of the stress tensor at high frequency as well as the hydrodynamic behaviour of the theory at low frequencies. The sum rule states that a weighted integral of the spectral density over frequencies is proportional to the energy density of the theory. We show that the proportionality constant can be written in terms the Hofman-Maldacena variables $t_2, t_4$ which determine the three point function of the stress tensor. For theories which admit a two derivative gravity dual this proportionality constant is given by $\frac{d}{2(d+1)}$. We then use causality constraints and obtain bounds on the sum rule which are valid in any conformal field theory. Finally we demonstrate that the high frequency behaviour of the spectral function in the vector and the tensor channel are also determined by the Hofman-Maldacena variables. |
hep-th/9303154 | Jisuke Kubo | T. Fujiwara, Y. Igarashi, J. Kubo, and T. Tabei | Gauge Equivalence in Two--Dimensional Gravity | 30 pages, KANAZAWA 93-2 | Phys.Rev. D48 (1993) 1736-1747 | 10.1103/PhysRevD.48.1736 | null | hep-th | null | Two-dimensional quantum gravity is identified as a second-class system which
we convert into a first-class system via the Batalin-Fradkin (BF) procedure.
Using the extended phase space method, we then formulate the theory in most
general class of gauges. The conformal gauge action suggested by David, Distler
and Kawai is derived from a first principle. We find a local, light-cone gauge
action whose Becchi-Rouet-Stora-Tyutin invariance implies Polyakov's curvature
equation $\partial_{-}R=\partial_{-}^{3}g_{++}=0$, revealing the origin of the
$SL(2,R)$ Kac-Moody symmetry. The BF degree of freedom turns out be dynamically
active as the Liouville mode in the conformal gauge, while in the light-cone
gauge the conformal degree of freedom plays that r{\^o}le. The inclusion of the
cosmological constant term in both gauges and the harmonic gauge-fixing are
also considered.
| [
{
"created": "Mon, 29 Mar 1993 02:56:26 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Fujiwara",
"T.",
""
],
[
"Igarashi",
"Y.",
""
],
[
"Kubo",
"J.",
""
],
[
"Tabei",
"T.",
""
]
] | Two-dimensional quantum gravity is identified as a second-class system which we convert into a first-class system via the Batalin-Fradkin (BF) procedure. Using the extended phase space method, we then formulate the theory in most general class of gauges. The conformal gauge action suggested by David, Distler and Kawai is derived from a first principle. We find a local, light-cone gauge action whose Becchi-Rouet-Stora-Tyutin invariance implies Polyakov's curvature equation $\partial_{-}R=\partial_{-}^{3}g_{++}=0$, revealing the origin of the $SL(2,R)$ Kac-Moody symmetry. The BF degree of freedom turns out be dynamically active as the Liouville mode in the conformal gauge, while in the light-cone gauge the conformal degree of freedom plays that r{\^o}le. The inclusion of the cosmological constant term in both gauges and the harmonic gauge-fixing are also considered. |
1403.3404 | Panagiotis Athanasopoulos | P. Athanasopoulos, A.E. Faraggi and D. Gepner | Spectral flow as a map between N=(2,0)-models | 14 pages, v2: minor changes, added one reference | Phys. Lett. B 735 (2014) 357 | 10.1016/j.physletb.2014.06.062 | LTH-1000 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The space of $(2,0)$ models is of particular interest among all
heterotic-string models because it includes the models with the minimal
$SO(10)$ unification structure, which is well motivated by the Standard Model
of particle physics data. The fermionic $\mathbb{Z}_2\times \mathbb{Z}_2$
heterotic-string models revealed the existence of a new symmetry in the space
of string configurations under the exchange of spinors and vectors of the
$SO(10)$ GUT group, dubbed spinor-vector duality. Such symmetries are important
for the understanding of the landscape of string vacua and ultimately for the
possible operation of a dynamical vacuum selection mechanism in string theory.
In this paper we generalize this idea to arbitrary internal rational Conformal
Field Theories (RCFTs). We explain how the spectral flow operator normally
acting within a general $(2,2)$ theory can be used as a map between $(2,0)$
models. We describe the details, give an example and propose more simple
currents that can be used in a similar way.
| [
{
"created": "Thu, 13 Mar 2014 20:00:38 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jul 2014 19:19:14 GMT",
"version": "v2"
}
] | 2014-07-09 | [
[
"Athanasopoulos",
"P.",
""
],
[
"Faraggi",
"A. E.",
""
],
[
"Gepner",
"D.",
""
]
] | The space of $(2,0)$ models is of particular interest among all heterotic-string models because it includes the models with the minimal $SO(10)$ unification structure, which is well motivated by the Standard Model of particle physics data. The fermionic $\mathbb{Z}_2\times \mathbb{Z}_2$ heterotic-string models revealed the existence of a new symmetry in the space of string configurations under the exchange of spinors and vectors of the $SO(10)$ GUT group, dubbed spinor-vector duality. Such symmetries are important for the understanding of the landscape of string vacua and ultimately for the possible operation of a dynamical vacuum selection mechanism in string theory. In this paper we generalize this idea to arbitrary internal rational Conformal Field Theories (RCFTs). We explain how the spectral flow operator normally acting within a general $(2,2)$ theory can be used as a map between $(2,0)$ models. We describe the details, give an example and propose more simple currents that can be used in a similar way. |
hep-th/9803182 | Jorgen Rasmussen | Jorgen Rasmussen | Two-point Functions in Affine Current Algebra and Conjugate Weights | 9 pages, LaTeX | Mod.Phys.Lett. A13 (1998) 1281-1288 | 10.1142/S0217732398001340 | null | hep-th | null | The two-point functions in affine current algebras based on simple Lie
algebras are constructed for all representations, integrable or non-integrable.
The weight of the conjugate field to a primary field of arbitrary weight is
immediately read off.
| [
{
"created": "Mon, 23 Mar 1998 13:09:38 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Rasmussen",
"Jorgen",
""
]
] | The two-point functions in affine current algebras based on simple Lie algebras are constructed for all representations, integrable or non-integrable. The weight of the conjugate field to a primary field of arbitrary weight is immediately read off. |
hep-th/0003112 | Dmitri Gitman | S.P. Gavrilov (U. of Sergipe), D.M. Gitman (U. of Sao Paulo) | Quantization of Point-Like Particles and Consistent Relativistic Quantum
Mechanics | 57 pages, LaTex file | Int.J.Mod.Phys. A15 (2000) 4499-4538 | 10.1142/S0217751X00002378 | Publicacao IFUSP 1402/2000 | hep-th | null | We revise the problem of the quantization of relativistic particle models
(spinless and spinning), presenting a modified consistent canonical scheme. One
of the main point of the modification is related to a principally new
realization of the Hilbert space. It allows one not only to include arbitrary
backgrounds in the consideration but to get in course of the quantization a
consistent relativistic quantum mechanics, which reproduces literally the
behavior of the one-particle sector of the corresponding quantum field. In
particular, in a physical sector of the Hilbert space a complete positive
spectrum of energies of relativistic particles and antiparticles is reproduced,
and all state vectors have only positive norms.
| [
{
"created": "Tue, 14 Mar 2000 15:40:57 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Gavrilov",
"S. P.",
"",
"U. of Sergipe"
],
[
"Gitman",
"D. M.",
"",
"U. of Sao Paulo"
]
] | We revise the problem of the quantization of relativistic particle models (spinless and spinning), presenting a modified consistent canonical scheme. One of the main point of the modification is related to a principally new realization of the Hilbert space. It allows one not only to include arbitrary backgrounds in the consideration but to get in course of the quantization a consistent relativistic quantum mechanics, which reproduces literally the behavior of the one-particle sector of the corresponding quantum field. In particular, in a physical sector of the Hilbert space a complete positive spectrum of energies of relativistic particles and antiparticles is reproduced, and all state vectors have only positive norms. |
1604.03730 | Amitabh Virmani | Srijit Bhattacharjee, Sudipta Sarkar, and Amitabh Virmani | Internal Structure of Charged AdS Black Holes | 17 pages; one pdf figure; v2 refs added, journal version | Phys. Rev. D 93, 124029 (2016) | 10.1103/PhysRevD.93.124029 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | When an electrically charged black hole is perturbed its inner horizon
becomes a singularity, often referred to as the Poisson-Israel mass inflation
singularity. Ori constructed a model of this phenomenon for asymptotically flat
black holes, in which the metric can be determined explicitly in the mass
inflation region. In this paper we implement the Ori model for charged AdS
black holes. We find that the mass function inflates faster than the flat space
case as the inner horizon is approached. Nevertheless, the mass inflation
singularity is still a weak singularity: although spacetime curvature becomes
infinite, tidal distortions remain finite on physical objects attempting to
cross it.
| [
{
"created": "Wed, 13 Apr 2016 12:19:57 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Jun 2016 11:01:14 GMT",
"version": "v2"
}
] | 2016-06-22 | [
[
"Bhattacharjee",
"Srijit",
""
],
[
"Sarkar",
"Sudipta",
""
],
[
"Virmani",
"Amitabh",
""
]
] | When an electrically charged black hole is perturbed its inner horizon becomes a singularity, often referred to as the Poisson-Israel mass inflation singularity. Ori constructed a model of this phenomenon for asymptotically flat black holes, in which the metric can be determined explicitly in the mass inflation region. In this paper we implement the Ori model for charged AdS black holes. We find that the mass function inflates faster than the flat space case as the inner horizon is approached. Nevertheless, the mass inflation singularity is still a weak singularity: although spacetime curvature becomes infinite, tidal distortions remain finite on physical objects attempting to cross it. |
1907.08021 | Juan Pedraza | Elena Caceres, Anderson Seigo Misobuchi, Juan F. Pedraza | Constraining higher order gravities with subregion duality | 21 pages, multiple figures. v3: matches published version | JHEP 1911 (2019) 175 | 10.1007/JHEP11(2019)175 | UTTG-07-19 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In higher derivative theories, gravity can travel slower or faster than
light. With this feature in mind, we revisit the construction of the causal and
entanglement wedges in this type of theories, and argue that they must be
constructed using the fastest mode instead of null rays. We show that the
property of causal wedge inclusion, i.e., the fact that the causal wedge must
be contained in the entanglement wedge, leads to more stringent constraints on
the couplings than those imposed by hyperbolicity and boundary causality. Our
results imply that the full power of subregion-subregion duality could lead to
the same conclusions previously obtained based on high energy graviton
scattering. We illustrate our findings with a systematic analysis in
Gauss-Bonnet gravity.
| [
{
"created": "Thu, 18 Jul 2019 12:54:18 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Aug 2019 09:12:49 GMT",
"version": "v2"
},
{
"created": "Thu, 14 May 2020 00:18:15 GMT",
"version": "v3"
}
] | 2020-05-15 | [
[
"Caceres",
"Elena",
""
],
[
"Misobuchi",
"Anderson Seigo",
""
],
[
"Pedraza",
"Juan F.",
""
]
] | In higher derivative theories, gravity can travel slower or faster than light. With this feature in mind, we revisit the construction of the causal and entanglement wedges in this type of theories, and argue that they must be constructed using the fastest mode instead of null rays. We show that the property of causal wedge inclusion, i.e., the fact that the causal wedge must be contained in the entanglement wedge, leads to more stringent constraints on the couplings than those imposed by hyperbolicity and boundary causality. Our results imply that the full power of subregion-subregion duality could lead to the same conclusions previously obtained based on high energy graviton scattering. We illustrate our findings with a systematic analysis in Gauss-Bonnet gravity. |
1703.05162 | Edgardo Franzin | Mariano Cadoni, Edgardo Franzin and Matteo Tuveri | Hysteresis in $\eta/s$ for QFTs dual to spherical black holes | 14 pages, matches published version | Eur. Phys. J. C 77 (2017), 900 | 10.1140/epjc/s10052-017-5462-9 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We define and compute the (analogue) shear viscosity to entropy density ratio
$\tilde\eta/s$ for the QFTs dual to spherical AdS black holes both in Einstein
and Gauss-Bonnet gravity in five spacetime dimensions. Although in this case,
owing to the lack of translational symmetry of the background, $\tilde\eta$
does not have the usual hydrodynamic meaning, it can be still interpreted as
the rate of entropy production due to a strain. At large and small
temperatures, it is found that $\tilde\eta/s$ is a monotonic increasing
function of the temperature. In particular, at large temperatures it approaches
a constant value, whereas, at small temperatures, when the black hole has a
regular, stable extremal limit, $\tilde\eta/s$ goes to zero with scaling law
behaviour. Whenever the phase diagram of the black hole has a Van der
Waals-like behaviour, i.e. it is characterised by the presence of two stable
states (small and large black holes) connected by a meta-stable region
(intermediate black holes), the system evolution must occur through the
meta-stable region and temperature-dependent hysteresis of $\tilde\eta/s$ is
generated by non-equilibrium thermodynamics.
| [
{
"created": "Wed, 15 Mar 2017 14:05:30 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2017 12:12:43 GMT",
"version": "v2"
},
{
"created": "Mon, 8 Jan 2018 09:47:43 GMT",
"version": "v3"
}
] | 2018-01-09 | [
[
"Cadoni",
"Mariano",
""
],
[
"Franzin",
"Edgardo",
""
],
[
"Tuveri",
"Matteo",
""
]
] | We define and compute the (analogue) shear viscosity to entropy density ratio $\tilde\eta/s$ for the QFTs dual to spherical AdS black holes both in Einstein and Gauss-Bonnet gravity in five spacetime dimensions. Although in this case, owing to the lack of translational symmetry of the background, $\tilde\eta$ does not have the usual hydrodynamic meaning, it can be still interpreted as the rate of entropy production due to a strain. At large and small temperatures, it is found that $\tilde\eta/s$ is a monotonic increasing function of the temperature. In particular, at large temperatures it approaches a constant value, whereas, at small temperatures, when the black hole has a regular, stable extremal limit, $\tilde\eta/s$ goes to zero with scaling law behaviour. Whenever the phase diagram of the black hole has a Van der Waals-like behaviour, i.e. it is characterised by the presence of two stable states (small and large black holes) connected by a meta-stable region (intermediate black holes), the system evolution must occur through the meta-stable region and temperature-dependent hysteresis of $\tilde\eta/s$ is generated by non-equilibrium thermodynamics. |
0903.0306 | Mariano Chernicoff | Mariano Chernicoff and Alberto Guijosa | Acceleration and Energy Loss in N=4 SYM | 20 pages, 7 figures, references added | AIP Conf.Proc.1116:285-300,2009 | 10.1063/1.3131567 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We give a brief overview of the results obtained in arXiv:0803.3070,
concerning the rate of energy loss of an accelerating quark in strongly-coupled
N=4 super-Yang-Mills, both at zero and finite temperature. For phenomenological
purposes, our main result is that, when a quark is created within the plasma
together with its corresponding antiquark, the quark starts feeling the plasma
only after the q-\bar{q} separation becomes larger than the (v-dependent)
screening length, and from this point on the motion is correctly described by
the analytic energy loss formula previously derived by Herzog et al. and Gubser
within the stationary or late-time approximations. The present text is a
slightly expanded version of two talks given at the XIII Mexican School of
Particles and Fields in October 2008.
| [
{
"created": "Mon, 2 Mar 2009 14:27:42 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 2009 22:04:13 GMT",
"version": "v2"
}
] | 2009-04-24 | [
[
"Chernicoff",
"Mariano",
""
],
[
"Guijosa",
"Alberto",
""
]
] | We give a brief overview of the results obtained in arXiv:0803.3070, concerning the rate of energy loss of an accelerating quark in strongly-coupled N=4 super-Yang-Mills, both at zero and finite temperature. For phenomenological purposes, our main result is that, when a quark is created within the plasma together with its corresponding antiquark, the quark starts feeling the plasma only after the q-\bar{q} separation becomes larger than the (v-dependent) screening length, and from this point on the motion is correctly described by the analytic energy loss formula previously derived by Herzog et al. and Gubser within the stationary or late-time approximations. The present text is a slightly expanded version of two talks given at the XIII Mexican School of Particles and Fields in October 2008. |
hep-th/9809013 | T. H. Hansson | Per Elmfors, T. H. Hansson and Ismail Zahed | A Simple Derivation of the Hard Thermal Loop Effective Action | 11 pages, Latex; lost text after sect. 2 reinserted | Phys. Rev. D 59, 045018 (1999) | 10.1103/PhysRevD.59.045018 | SUITP-98-11, SUNY-NTG-98-54 | hep-th | null | We use the background field method along with a special gauge condition, to
derive the hard thermal loop effective action in a simple manner. The new point
in the paper is to relate the effective action explicitly to the S-matrix from
the onset.
| [
{
"created": "Wed, 2 Sep 1998 08:26:29 GMT",
"version": "v1"
},
{
"created": "Sat, 5 Sep 1998 10:55:29 GMT",
"version": "v2"
}
] | 2016-08-25 | [
[
"Elmfors",
"Per",
""
],
[
"Hansson",
"T. H.",
""
],
[
"Zahed",
"Ismail",
""
]
] | We use the background field method along with a special gauge condition, to derive the hard thermal loop effective action in a simple manner. The new point in the paper is to relate the effective action explicitly to the S-matrix from the onset. |
2206.04369 | Edgar P\'erez | G. Papadopoulos and E. P\'erez-Bola\~nos | The TCFHs of D=11 AdS backgrounds and hidden symmetries | 22 pages | null | 10.1007/JHEP06(2023)015 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity
and explore some of the properties of the associated connections. Therefore we
demonstrate that all Killing spinor bilinears satisfy a generalisation of the
conformal Killing-Yano equations with respect to the TCFH connection. In
addition we explore the hidden symmetries of spinning particle probes
propagating on these backgrounds. We give several examples of hidden symmetries
for probes on the maximal supersymmetric AdS backgrounds as well as on some AdS
backgrounds that arise as near horizon geometries of intersecting M-branes.
| [
{
"created": "Thu, 9 Jun 2022 09:26:25 GMT",
"version": "v1"
}
] | 2023-06-21 | [
[
"Papadopoulos",
"G.",
""
],
[
"Pérez-Bolaños",
"E.",
""
]
] | We present the TCFHs of all AdS backgrounds of 11-dimensional supergravity and explore some of the properties of the associated connections. Therefore we demonstrate that all Killing spinor bilinears satisfy a generalisation of the conformal Killing-Yano equations with respect to the TCFH connection. In addition we explore the hidden symmetries of spinning particle probes propagating on these backgrounds. We give several examples of hidden symmetries for probes on the maximal supersymmetric AdS backgrounds as well as on some AdS backgrounds that arise as near horizon geometries of intersecting M-branes. |
0805.1600 | Stoytcho Yazadjiev | Stoytcho Yazadjiev | 5D Einstein-Maxwell solitons and concentric rotating dipole black rings | 19 pages, 1 figure | Phys.Rev.D78:064032,2008 | 10.1103/PhysRevD.78.064032 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the application of the solitonic techniques to the 5D
Einstein-Maxwell gravity. As an illustration we construct an exact solution
describing two concentric rotating dipole black rings. The properties of the
solution are investigated.
| [
{
"created": "Mon, 12 May 2008 09:49:04 GMT",
"version": "v1"
}
] | 2009-02-23 | [
[
"Yazadjiev",
"Stoytcho",
""
]
] | We discuss the application of the solitonic techniques to the 5D Einstein-Maxwell gravity. As an illustration we construct an exact solution describing two concentric rotating dipole black rings. The properties of the solution are investigated. |
1611.07498 | Zahra Rezaei | Zahra Rezaei | Meson Thermalization by Baryon Injection in D4/D6 Model | 23 pages, 8 figures | Nuclear Physics B 913 (2016) 479-494 | 10.1016/j.nuclphysb.2016.09.024 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study meson thermalization in a strongly coupled plasma of quarks and
gluons using AdS/CFT duality technique. Four dimensional large-Nc QCD is
considered as a theory governing this quark-gluon plasma (QGP) and D4/D6- brane
model is chosen to be its holographic dual theory. In order to investigate
meson thermalization, we consider a time-dependent change of baryon number
chemical potential. Thermalization in gauge theory side corresponds to horizon
formation on the probe flavor brane in the gravity side. The gravitational dual
theory is compactified on a circle that the inverse of its radius is
proportional to energy scale of dual gauge theory. It is seen that increase of
this energy scale results in thermalization time dilation. In addition we study
the effect of magnetic field on meson thermalization. It will be seen that
magnetic field also prolongs thermalization process by making mesons more
stable.
| [
{
"created": "Tue, 22 Nov 2016 20:18:51 GMT",
"version": "v1"
}
] | 2016-11-30 | [
[
"Rezaei",
"Zahra",
""
]
] | We study meson thermalization in a strongly coupled plasma of quarks and gluons using AdS/CFT duality technique. Four dimensional large-Nc QCD is considered as a theory governing this quark-gluon plasma (QGP) and D4/D6- brane model is chosen to be its holographic dual theory. In order to investigate meson thermalization, we consider a time-dependent change of baryon number chemical potential. Thermalization in gauge theory side corresponds to horizon formation on the probe flavor brane in the gravity side. The gravitational dual theory is compactified on a circle that the inverse of its radius is proportional to energy scale of dual gauge theory. It is seen that increase of this energy scale results in thermalization time dilation. In addition we study the effect of magnetic field on meson thermalization. It will be seen that magnetic field also prolongs thermalization process by making mesons more stable. |
hep-th/0312265 | Jorge Bellorin | J. Bellorin and A Restuccia | Minimal Immersions and the Spectrum of Supermembranes | null | null | null | null | hep-th | null | We describe the minimal configurations of the compact D=11 Supermembrane and
D-branes when the spatial part of the world-volume is a K\"ahler manifold. The
minima of the corresponding hamiltonians arise at immersions into the target
space minimizing the K\"ahler volume. Minimal immersions of particular K\"ahler
manifolds into a given target space are known to exist. They have associated to
them a symplectic matrix of central charges. We reexpress the Hamiltonian of
the D=11 Supermembrane with a symplectic matrix of central charges, in the
light cone gauge, using the minimal immersions as backgrounds and the
$Sp\parent{2g,\mathbb{Z}}$ symmetry of the resulting theory, $g$ being the
genus of the K\"ahler manifold. The resulting theory is a symplectic
noncommutative Yang-Mills theory coupled with the scalar fields transverse to
the Supermembrane. We prove that both theories are exactly equivalent. A
similar construction may be performed for the Born-Infeld action. Finally, the
noncommutative formulation is used to show that the spectrum of the reguralized
Hamiltonian of the above mentioned D=11 Supermembrane is a discrete set of
eigenvalues with finite multiplicity.
| [
{
"created": "Mon, 22 Dec 2003 18:31:30 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bellorin",
"J.",
""
],
[
"Restuccia",
"A",
""
]
] | We describe the minimal configurations of the compact D=11 Supermembrane and D-branes when the spatial part of the world-volume is a K\"ahler manifold. The minima of the corresponding hamiltonians arise at immersions into the target space minimizing the K\"ahler volume. Minimal immersions of particular K\"ahler manifolds into a given target space are known to exist. They have associated to them a symplectic matrix of central charges. We reexpress the Hamiltonian of the D=11 Supermembrane with a symplectic matrix of central charges, in the light cone gauge, using the minimal immersions as backgrounds and the $Sp\parent{2g,\mathbb{Z}}$ symmetry of the resulting theory, $g$ being the genus of the K\"ahler manifold. The resulting theory is a symplectic noncommutative Yang-Mills theory coupled with the scalar fields transverse to the Supermembrane. We prove that both theories are exactly equivalent. A similar construction may be performed for the Born-Infeld action. Finally, the noncommutative formulation is used to show that the spectrum of the reguralized Hamiltonian of the above mentioned D=11 Supermembrane is a discrete set of eigenvalues with finite multiplicity. |
1310.1060 | Hisham Sati | Hisham Sati | Framed M-branes, corners, and topological invariants | 33 pages, minor revisions, updated context and references, published
version | J. Math. Phys. 59 (2018), 062304 | 10.1063/1.5007185 | null | hep-th math.AT math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We uncover and highlight relations between the M-branes in M-theory and
various topological invariants: the Hopf invariant over $\mathbb{Q}$,
$\mathbb{Z}$ and $\mathbb{Z}_2$, the Kervaire invariant, the $f$-invariant, and
the $\nu$-invariant. This requires either a framing or a corner structure. The
canonical framing provides a minimum for the classical action and the change of
framing encodes the structure of the action and possible anomalies. We
characterize the flux quantization condition on the C-field and the topological
action of the M5-brane via the Hopf invariant, and the dual of the C-field as
(a refinement of) an element of Hopf invariant two. In the signature
formulation, the contribution to the M-brane effective action is given by the
Maslov index of the corner. The Kervaire invariant implies that the effective
action of the M5-brane is quadratic. Our study leads to viewing the self-dual
string, which is the boundary of the M2-brane on the M5-brane worldvolume, as a
string theory in the sense of cobordism of manifolds with corners. We show that
the dynamics of the C-field and its dual are encoded in unified way in the
4-sphere, which suggests the corresponding spectrum as the generalized
cohomology theory describing the fields. The effective action of the corner is
captured by the $f$-invariant, which is an invariant at chromatic level two.
Finally, considering M-theory on manifolds with G_2 holonomy we show that the
canonical ${\rm G}_2$ structure minimizes the topological part of the M5-brane
action. This is done via the $\nu$-invariant and a variant that we introduce
related to the one-loop polynomial.
| [
{
"created": "Thu, 3 Oct 2013 18:50:04 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Sep 2018 05:58:07 GMT",
"version": "v2"
}
] | 2018-09-25 | [
[
"Sati",
"Hisham",
""
]
] | We uncover and highlight relations between the M-branes in M-theory and various topological invariants: the Hopf invariant over $\mathbb{Q}$, $\mathbb{Z}$ and $\mathbb{Z}_2$, the Kervaire invariant, the $f$-invariant, and the $\nu$-invariant. This requires either a framing or a corner structure. The canonical framing provides a minimum for the classical action and the change of framing encodes the structure of the action and possible anomalies. We characterize the flux quantization condition on the C-field and the topological action of the M5-brane via the Hopf invariant, and the dual of the C-field as (a refinement of) an element of Hopf invariant two. In the signature formulation, the contribution to the M-brane effective action is given by the Maslov index of the corner. The Kervaire invariant implies that the effective action of the M5-brane is quadratic. Our study leads to viewing the self-dual string, which is the boundary of the M2-brane on the M5-brane worldvolume, as a string theory in the sense of cobordism of manifolds with corners. We show that the dynamics of the C-field and its dual are encoded in unified way in the 4-sphere, which suggests the corresponding spectrum as the generalized cohomology theory describing the fields. The effective action of the corner is captured by the $f$-invariant, which is an invariant at chromatic level two. Finally, considering M-theory on manifolds with G_2 holonomy we show that the canonical ${\rm G}_2$ structure minimizes the topological part of the M5-brane action. This is done via the $\nu$-invariant and a variant that we introduce related to the one-loop polynomial. |
1407.2772 | Mikael von Strauss | S. F. Hassan, Angnis Schmidt-May and Mikael von Strauss | Particular Solutions in Bimetric Theory and Their Implications | Latex, 18 pages. Published version | International Journal of Modern Physics D, Vol. 23, No. 13 (2014) | 10.1142/S0218271814430020 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Ghost-free bimetric theory can describe gravity in the presence of an extra
spin-2 field. We study certain aspects of dynamics in this theory: (1) It is
shown that if either of the metrics is an Einstein solution then the other is
always forced to be Einstein, too. For a class of bimetric models this
constraint is stronger and as soon as one metric is Einstein, the other metric
is forced to be proportional to it. As a consequence, the models in this class
avoid a branch of pathological solutions that exhibit determinant singularities
or nonlinear ghosts. These constraints persists in a generalized form when
sources are included, but are destroyed in the massive gravity limit of the
theory. (2) For another class of bimetric models, we show the existence of
solutions that do not admit a massive gravity limit. A bimetric model that
could exhibit a nonlinear version of "partially massless" symmetry belongs to
both these classes. It is argued that if such a model exits, its symmetry will
not survive in the massive gravity limit.
| [
{
"created": "Thu, 10 Jul 2014 12:45:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Nov 2014 09:06:35 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Hassan",
"S. F.",
""
],
[
"Schmidt-May",
"Angnis",
""
],
[
"von Strauss",
"Mikael",
""
]
] | Ghost-free bimetric theory can describe gravity in the presence of an extra spin-2 field. We study certain aspects of dynamics in this theory: (1) It is shown that if either of the metrics is an Einstein solution then the other is always forced to be Einstein, too. For a class of bimetric models this constraint is stronger and as soon as one metric is Einstein, the other metric is forced to be proportional to it. As a consequence, the models in this class avoid a branch of pathological solutions that exhibit determinant singularities or nonlinear ghosts. These constraints persists in a generalized form when sources are included, but are destroyed in the massive gravity limit of the theory. (2) For another class of bimetric models, we show the existence of solutions that do not admit a massive gravity limit. A bimetric model that could exhibit a nonlinear version of "partially massless" symmetry belongs to both these classes. It is argued that if such a model exits, its symmetry will not survive in the massive gravity limit. |
hep-th/9501128 | Alexander V. Antonov | A. V. Antonov, A. A. Belov, B. L. Feigin | Geometrical Description of the Local Integrals of Motion of
Maxwell-Bloch Equation | 16 pages, no figures, plain TeX, no macros | Mod.Phys.Lett. A10 (1995) 1209-1224 | 10.1142/S0217732395001332 | LANDAU-94-TMP-8 | hep-th | null | We represent a classical Maxwell-Bloch equation and related to it positive
part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is
given by an infinitesimal action of a nilpotent subalgebra $n_+$ of affine Lie
algebra $\hat {sl}_2$ on a Maxwell-Bloch phase space treated as a homogeneous
space of $n_+$. A space of local integrals of motion is described using
cohomology methods. We show that hamiltonian flows associated to the
Maxwell-Bloch local integrals of motion (i.e. positive AKNS flows) are
identified with an infinitesimal action of an abelian subalgebra of the
nilpotent subalgebra $n_+$ on a Maxwell- Bloch phase space. Possibilities of
quantization and latticization of Maxwell-Bloch equation are discussed.
| [
{
"created": "Fri, 27 Jan 1995 13:37:03 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Antonov",
"A. V.",
""
],
[
"Belov",
"A. A.",
""
],
[
"Feigin",
"B. L.",
""
]
] | We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra $n_+$ of affine Lie algebra $\hat {sl}_2$ on a Maxwell-Bloch phase space treated as a homogeneous space of $n_+$. A space of local integrals of motion is described using cohomology methods. We show that hamiltonian flows associated to the Maxwell-Bloch local integrals of motion (i.e. positive AKNS flows) are identified with an infinitesimal action of an abelian subalgebra of the nilpotent subalgebra $n_+$ on a Maxwell- Bloch phase space. Possibilities of quantization and latticization of Maxwell-Bloch equation are discussed. |
0808.1015 | Alfredo Suzuki T | J. H. O. Sales, A. T. Suzuki, and J.D. Bolzan | QED$_{4}$ Ward Identity for fermionic field in the light-front | 8 pages, no figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a covariant gauge we implicitly assume that the Green's function
propagates information from one point of the space-time to another, so that the
Green's function is responsible for the dynamics of the relativistic particle.
In the light front form, which in principle is a change of coordinates, one
would expect that this feature would be preserved. In this manner, the
fermion's field propagator can be split into a propagating piece and a
non-propagating (``contact'') term. Since the latter (``contact'') one does not
propagate information, and therefore, assumedly with no harm to the field
dynamics we wanted to know what would be the impact of dropping it off. To do
that, we investigated its role in the Ward identity in the light front.
| [
{
"created": "Thu, 7 Aug 2008 13:09:37 GMT",
"version": "v1"
}
] | 2008-08-08 | [
[
"Sales",
"J. H. O.",
""
],
[
"Suzuki",
"A. T.",
""
],
[
"Bolzan",
"J. D.",
""
]
] | In a covariant gauge we implicitly assume that the Green's function propagates information from one point of the space-time to another, so that the Green's function is responsible for the dynamics of the relativistic particle. In the light front form, which in principle is a change of coordinates, one would expect that this feature would be preserved. In this manner, the fermion's field propagator can be split into a propagating piece and a non-propagating (``contact'') term. Since the latter (``contact'') one does not propagate information, and therefore, assumedly with no harm to the field dynamics we wanted to know what would be the impact of dropping it off. To do that, we investigated its role in the Ward identity in the light front. |
1605.00403 | Jeong-Hyuck Park | Xavier Bekaert and Jeong-Hyuck Park | Higher Spin Double Field Theory : A Proposal | 1+52 pages. v3) Eq.(2.57) added. To appear in JHEP | JHEP 07 (2016) 062 | 10.1007/JHEP07(2016)062 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a double field theory coupled to the fields present in
Vasiliev's equations. Employing the "semi-covariant" differential geometry, we
spell a functional in which each term is completely covariant with respect to
$\mathbf{O}(4,4)$ T-duality, doubled diffeomorphisms, $\mathbf{Spin}(1,3)$
local Lorentz symmetry and, separately, $\mathbf{HS}(4)$ higher spin gauge
symmetry. We identify a minimal set of BPS-like conditions whose solutions
automatically satisfy the full Euler-Lagrange equations. As such a solution, we
derive a linear dilaton vacuum. With extra algebraic constraints further
supplemented, the BPS-like conditions reduce to the bosonic Vasiliev equations.
| [
{
"created": "Mon, 2 May 2016 09:29:31 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2016 00:32:49 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jul 2016 07:37:32 GMT",
"version": "v3"
}
] | 2016-07-14 | [
[
"Bekaert",
"Xavier",
""
],
[
"Park",
"Jeong-Hyuck",
""
]
] | We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to $\mathbf{O}(4,4)$ T-duality, doubled diffeomorphisms, $\mathbf{Spin}(1,3)$ local Lorentz symmetry and, separately, $\mathbf{HS}(4)$ higher spin gauge symmetry. We identify a minimal set of BPS-like conditions whose solutions automatically satisfy the full Euler-Lagrange equations. As such a solution, we derive a linear dilaton vacuum. With extra algebraic constraints further supplemented, the BPS-like conditions reduce to the bosonic Vasiliev equations. |
1811.06324 | Nils Kanning | Nils Kanning | On the Integrable Structure of Super Yang-Mills Scattering Amplitudes | 169 pages, PhD thesis based on the author's publications
arXiv:1312.1693, arXiv:1412.8476 and basis for arXiv:1811.04949 | null | 10.20386/HUB-43089 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski
space is an exceptional model of mathematical physics. Even more so in the
planar limit, where the theory is believed to be integrable. In particular, the
tree-level scattering amplitudes were shown to be invariant under the Yangian
of the superconformal algebra psu(2,2|4). This infinite-dimensional symmetry is
a hallmark of integrability. In this dissertation we explore connections
between these amplitudes and integrable models. Our aim is to lay foundations
for an efficient integrability-based computation of amplitudes. To this end, we
characterize Yangian invariants within the quantum inverse scattering method,
which is an extensive toolbox for integrable spin chains. Making use of this
setup, we develop methods for the construction of Yangian invariants. We show
that the algebraic Bethe ansatz can be specialized to yield Yangian invariants
for u(2). Our approach also allows to interpret these Yangian invariants as
partition functions of vertex models. What is more, we establish a unitary
Gra{\ss}mannian matrix model for the construction of u(p,q|m) Yangian
invariants with oscillator representations. In a special case our formula
reduces to the Brezin-Gross-Witten model. We apply an integral transformation
due to Bargmann to our unitary Gra{\ss}mannian matrix model, which turns the
oscillators into spinor helicity-like variables. Thereby we are led to a
refined version of the Gra{\ss}mannian integral formula for certain amplitudes.
The most decisive differences are that we work in Minkowski signature and that
the integration contour is fixed to be a unitary group manifold. We compare
Yangian invariants defined by our integral to amplitudes and recently
introduced deformations thereof.
| [
{
"created": "Thu, 15 Nov 2018 13:00:18 GMT",
"version": "v1"
}
] | 2018-11-16 | [
[
"Kanning",
"Nils",
""
]
] | The maximally supersymmetric Yang-Mills theory in four-dimensional Minkowski space is an exceptional model of mathematical physics. Even more so in the planar limit, where the theory is believed to be integrable. In particular, the tree-level scattering amplitudes were shown to be invariant under the Yangian of the superconformal algebra psu(2,2|4). This infinite-dimensional symmetry is a hallmark of integrability. In this dissertation we explore connections between these amplitudes and integrable models. Our aim is to lay foundations for an efficient integrability-based computation of amplitudes. To this end, we characterize Yangian invariants within the quantum inverse scattering method, which is an extensive toolbox for integrable spin chains. Making use of this setup, we develop methods for the construction of Yangian invariants. We show that the algebraic Bethe ansatz can be specialized to yield Yangian invariants for u(2). Our approach also allows to interpret these Yangian invariants as partition functions of vertex models. What is more, we establish a unitary Gra{\ss}mannian matrix model for the construction of u(p,q|m) Yangian invariants with oscillator representations. In a special case our formula reduces to the Brezin-Gross-Witten model. We apply an integral transformation due to Bargmann to our unitary Gra{\ss}mannian matrix model, which turns the oscillators into spinor helicity-like variables. Thereby we are led to a refined version of the Gra{\ss}mannian integral formula for certain amplitudes. The most decisive differences are that we work in Minkowski signature and that the integration contour is fixed to be a unitary group manifold. We compare Yangian invariants defined by our integral to amplitudes and recently introduced deformations thereof. |
hep-th/0201054 | Kluson Josef | J. Kluson | Some Solutions of Berkovits' Superstring Field Theory | 10 pages, new first page, typos corrected, acknowledgement added | null | null | null | hep-th | null | In this note we construct exact solution of Berkovits'superstring field
theory.
| [
{
"created": "Wed, 9 Jan 2002 05:10:24 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jan 2002 14:22:54 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kluson",
"J.",
""
]
] | In this note we construct exact solution of Berkovits'superstring field theory. |
hep-th/0604062 | Kurosh Javidan | Kurosh Javidan | Interaction of topological solitons with defects: using a nontrivial
metric | 10 pages, 11 figures | J. Phys. A: Math. Gen. 39 (2006) 10565-10574 | 10.1088/0305-4470/39/33/022 | null | hep-th | null | By including potential into the flat metric, we study interaction of
sine-Gordon soliton with potentials. We will show numerically that while the
soliton-barrier system shows fully classical behaviour, the soliton-well system
demonstrates non-classical behaviour. In particular, solitons with low
velocities are trapped in the well and emit energy radiation.
| [
{
"created": "Sun, 9 Apr 2006 17:17:19 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Aug 2006 07:50:17 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Javidan",
"Kurosh",
""
]
] | By including potential into the flat metric, we study interaction of sine-Gordon soliton with potentials. We will show numerically that while the soliton-barrier system shows fully classical behaviour, the soliton-well system demonstrates non-classical behaviour. In particular, solitons with low velocities are trapped in the well and emit energy radiation. |
0902.1553 | Dan Gorbonos | Ram Brustein, Dan Gorbonos | The Noether charge entropy in anti-deSitter space and its field theory
dual | 21 pages; v2: minor corrections, results unchanged; v3: typos
corrected | Phys.Rev.D79:126003,2009 | 10.1103/PhysRevD.79.126003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We express the Noether charge entropy density of a black brane in
anti-deSitter space in terms of local operators in the anti-deSitter space
bulk. We find that Wald's expression for the Noether charge entropy needs to be
modified away from the horizon by an additional term that vanishes on the
horizon. We then determine the field theory dual of the Noether charge entropy
for theories that asymptote to Einstein theory. We do so by calculating the
value of the entropy density at the anti-deSitter space boundary and applying
the standard rules of the AdS/CFT correspondence. We interpret the variation of
the entropy density operator from the horizon to the boundary as due to the
renormalization of the effective gravitational couplings as they flow from the
ultra-violet to the infra-red. We discuss the cases of Einstein-Hilbert theory
and f(R) theories in detail and make general comments about more complicated
cases.
| [
{
"created": "Tue, 10 Feb 2009 19:01:51 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Mar 2009 23:36:31 GMT",
"version": "v2"
},
{
"created": "Mon, 13 Dec 2010 00:14:24 GMT",
"version": "v3"
}
] | 2010-12-14 | [
[
"Brustein",
"Ram",
""
],
[
"Gorbonos",
"Dan",
""
]
] | We express the Noether charge entropy density of a black brane in anti-deSitter space in terms of local operators in the anti-deSitter space bulk. We find that Wald's expression for the Noether charge entropy needs to be modified away from the horizon by an additional term that vanishes on the horizon. We then determine the field theory dual of the Noether charge entropy for theories that asymptote to Einstein theory. We do so by calculating the value of the entropy density at the anti-deSitter space boundary and applying the standard rules of the AdS/CFT correspondence. We interpret the variation of the entropy density operator from the horizon to the boundary as due to the renormalization of the effective gravitational couplings as they flow from the ultra-violet to the infra-red. We discuss the cases of Einstein-Hilbert theory and f(R) theories in detail and make general comments about more complicated cases. |
2112.10843 | Anton Pribytok | Anton Pribytok | Automorphic symmetries and $ AdS_n $ integrable deformations | Current contribution is prepared for Springer Proceedings of XIV.
International Workshop "Lie Theory and its applications in physics". It
includes a summary on discrete integrable systems, $ \mathcal{B}
$-automorphism method, its generalisation for $ AdS_{\{ 2, 3 \}} $ spaces,
several improvements included | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | We develop the method based on $ \mathcal{B} $-automorphism for finding new
lattice integrable models with various dimensions of local Hilbert spaces. We
initiate the technique by implementing it to the two-dimensional models and
resolve classification problem, which not only confirms known vertex model
solution space, but also extends to the new $ \mathfrak{sl}_{2} $ deformed
sector. The generalisation of the approach for string integrable models is
provided and allows to find new integrable deformations and associated $ R
$-matrices. Hence novel integrable solutions appear to be of non-difference
form that admit $ AdS_2 $ and $ AdS_3 $ $ S $-matrices as special cases, we
also obtain embedding of double deformed sigma model $ R $-matrix into one of
the solutions. The braiding and crossing for the found models as well as their
emergence with respect to the deformation parameter $ k $ are shown.
| [
{
"created": "Mon, 20 Dec 2021 20:25:45 GMT",
"version": "v1"
},
{
"created": "Tue, 5 Dec 2023 21:12:29 GMT",
"version": "v2"
}
] | 2023-12-07 | [
[
"Pribytok",
"Anton",
""
]
] | We develop the method based on $ \mathcal{B} $-automorphism for finding new lattice integrable models with various dimensions of local Hilbert spaces. We initiate the technique by implementing it to the two-dimensional models and resolve classification problem, which not only confirms known vertex model solution space, but also extends to the new $ \mathfrak{sl}_{2} $ deformed sector. The generalisation of the approach for string integrable models is provided and allows to find new integrable deformations and associated $ R $-matrices. Hence novel integrable solutions appear to be of non-difference form that admit $ AdS_2 $ and $ AdS_3 $ $ S $-matrices as special cases, we also obtain embedding of double deformed sigma model $ R $-matrix into one of the solutions. The braiding and crossing for the found models as well as their emergence with respect to the deformation parameter $ k $ are shown. |
1807.05233 | Mark Hertzberg | Mark P. Hertzberg, Mudit Jain | Counting of States in Higgs Theories | 14 pages in double column format, 4 figures. V2: Updated towards
version published in PRD | Phys. Rev. D 99, 065015 (2019) | 10.1103/PhysRevD.99.065015 | null | hep-th astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We enumerate the micro-states in Higgs theories, addressing (i) the number of
vacuum states and (ii) the appropriate measure in the quantum path integral. To
address (i) we explicitly construct the set of ground state wave-functionals in
the field basis focussing on scalar modes $\theta(x)$. Firstly, we show that in
the limit in which the gauge coupling is zero, we obtain an infinite set of
degenerate ground states at large volume distinguished by
$\theta(x)\to\theta(x)+\theta_0$, spontaneously breaking the global symmetry,
as is well known. We then show that at finite gauge coupling there is a unique
ground state at large volume since the wave-functional only depends on
$\nabla\theta$ in the IR, and we explain this at the level of the Lagrangian.
Since gauge fields fall off exponentially from sources there are no conserved
charges or symmetries in the Higgs phase; so the Higgs mechanism is the removal
of symmetry from the theory. We show how physical features of defects, such as
cosmic strings in the abelian Higgs model, are best understood in this context.
Since there is a unique ground state, we address (ii) whether the path integral
is a volume measure for the radial Higgs field $\mathcal{D}\rho\,\rho^{N-1}$
from the $N$ components of the Higgs multiplet, or a line measure
$\mathcal{D}\rho$ as the $N-1$ would-be Goldstones can be removed in unitary
gauge. We prove that the need to avoid quartic divergences demands a tower of
counter terms that resum to exactly give the volume measure. So the size of the
Hilbert space in the zero gauge coupling case and finite gauge coupling case
are in one-to-one correspondence, despite the degeneracy of the ground state
being lifted in the latter. As a cosmological application, we point out that
the volume measure can make it exponentially more unlikely in $N(=4)$ for the
Standard Model Higgs to relax to the electroweak vacuum in the early universe.
| [
{
"created": "Fri, 13 Jul 2018 18:00:14 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Apr 2019 07:11:50 GMT",
"version": "v2"
}
] | 2019-04-04 | [
[
"Hertzberg",
"Mark P.",
""
],
[
"Jain",
"Mudit",
""
]
] | We enumerate the micro-states in Higgs theories, addressing (i) the number of vacuum states and (ii) the appropriate measure in the quantum path integral. To address (i) we explicitly construct the set of ground state wave-functionals in the field basis focussing on scalar modes $\theta(x)$. Firstly, we show that in the limit in which the gauge coupling is zero, we obtain an infinite set of degenerate ground states at large volume distinguished by $\theta(x)\to\theta(x)+\theta_0$, spontaneously breaking the global symmetry, as is well known. We then show that at finite gauge coupling there is a unique ground state at large volume since the wave-functional only depends on $\nabla\theta$ in the IR, and we explain this at the level of the Lagrangian. Since gauge fields fall off exponentially from sources there are no conserved charges or symmetries in the Higgs phase; so the Higgs mechanism is the removal of symmetry from the theory. We show how physical features of defects, such as cosmic strings in the abelian Higgs model, are best understood in this context. Since there is a unique ground state, we address (ii) whether the path integral is a volume measure for the radial Higgs field $\mathcal{D}\rho\,\rho^{N-1}$ from the $N$ components of the Higgs multiplet, or a line measure $\mathcal{D}\rho$ as the $N-1$ would-be Goldstones can be removed in unitary gauge. We prove that the need to avoid quartic divergences demands a tower of counter terms that resum to exactly give the volume measure. So the size of the Hilbert space in the zero gauge coupling case and finite gauge coupling case are in one-to-one correspondence, despite the degeneracy of the ground state being lifted in the latter. As a cosmological application, we point out that the volume measure can make it exponentially more unlikely in $N(=4)$ for the Standard Model Higgs to relax to the electroweak vacuum in the early universe. |
hep-th/9801092 | Roger Bielawski | Roger Bielawski | Asymptotic metrics for SU(N)-monopoles with maximal symmetry breaking | 26 pages, AMS-Latex; comparison of metrics done differently and in
greater detail; version submitted | Commun.Math.Phys. 199 (1998) 297-325 | 10.1007/s002200050503 | MPI 97-108 | hep-th | null | We compute the asymptotic metrics for moduli spaces of SU(N) monopoles with
maximal symmetry breaking. These metrics are exponentially close to the exact
monopole metric as soon as, for each simple root, the individual monopoles
corresponding to that root are well separated. We also show that the estimates
can be differentiated term by term in natural coordinates, which is a new
result even for SU(2) monopoles.
| [
{
"created": "Wed, 14 Jan 1998 10:26:40 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Mar 1998 18:12:53 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Bielawski",
"Roger",
""
]
] | We compute the asymptotic metrics for moduli spaces of SU(N) monopoles with maximal symmetry breaking. These metrics are exponentially close to the exact monopole metric as soon as, for each simple root, the individual monopoles corresponding to that root are well separated. We also show that the estimates can be differentiated term by term in natural coordinates, which is a new result even for SU(2) monopoles. |
hep-th/9506125 | Oren Bergman | Oren Bergman and Charles B. Thorn | String Bit Models for Superstring | 43 pages, phyzzx required | Phys.Rev.D52:5980-5996,1995 | 10.1103/PhysRevD.52.5980 | UFIFT-HEP-95-8 | hep-th | null | We extend the model of string as a polymer of string bits to the case of
superstring. We mainly concentrate on type II-B superstring, with some
discussion of the obstacles presented by not II-B superstring, together with
possible strategies for surmounting them. As with previous work on bosonic
string we work within the light-cone gauge. The bit model possesses a good deal
less symmetry than the continuous string theory. For one thing, the bit model
is formulated as a Galilei invariant theory in $(D-2)+1$ dimensional
space-time. This means that Poincar\'e invariance is reduced to the Galilei
subgroup in $D-2$ space dimensions. Naturally the supersymmetry present in the
bit model is likewise dramatically reduced. Continuous string can arise in the
bit models with the formation of infinitely long polymers of string bits. Under
the right circumstances (at the critical dimension) these polymers can behave
as string moving in $D$ dimensional space-time enjoying the full $N=2$
Poincar\'e supersymmetric dynamics of type II-B superstring.
| [
{
"created": "Mon, 19 Jun 1995 20:13:18 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Bergman",
"Oren",
""
],
[
"Thorn",
"Charles B.",
""
]
] | We extend the model of string as a polymer of string bits to the case of superstring. We mainly concentrate on type II-B superstring, with some discussion of the obstacles presented by not II-B superstring, together with possible strategies for surmounting them. As with previous work on bosonic string we work within the light-cone gauge. The bit model possesses a good deal less symmetry than the continuous string theory. For one thing, the bit model is formulated as a Galilei invariant theory in $(D-2)+1$ dimensional space-time. This means that Poincar\'e invariance is reduced to the Galilei subgroup in $D-2$ space dimensions. Naturally the supersymmetry present in the bit model is likewise dramatically reduced. Continuous string can arise in the bit models with the formation of infinitely long polymers of string bits. Under the right circumstances (at the critical dimension) these polymers can behave as string moving in $D$ dimensional space-time enjoying the full $N=2$ Poincar\'e supersymmetric dynamics of type II-B superstring. |
0812.4504 | Rong-Gen Cai | Rong-Gen Cai, Bin Hu and Yi Zhang | Holography, UV/IR Relation, Causal Entropy Bound and Dark Energy | Latex, 15 pages with 3 eps files. Submitted to Comm. Theor. Phys; v2:
typos corrected and a few references added | Commun.Theor.Phys.51:954-960,2009 | 10.1088/0253-6102/51/5/39 | null | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The constraint on the total energy in a given spatial region is given from
holography by the mass of a black hole which just fits in that region, which
leads to an UV/IR relation: the maximal energy density in that region is
proportional to $M_p^2/L^2$, where $M_p$ is the Planck mass and $L$ is the
spatial scale of that region under consideration. Assuming the maximal black
hole in the universe is formed through gravitational collapse of perturbations
in the universe, then the "Jeans" scale of the perturbations gives a causal
connection scale $R_{\rm CC}$. For gravitational perturbations, $R^{-2}_{\rm
CC}={\rm Max}(\dot H+2H^2, -\dot H)$ for a flat universe. We study the
cosmological dynamics of the corresponding vacuum energy density by choosing
the causal connection scale as the IR cutoff in the UV/IR relation, in the
cases of the vacuum energy density as an independently conserved energy
component and an effective dynamical cosmological constant, respectively. It
turns out that only the case with the choice $R_{\rm CC}^{-2}= \dot H +2H^2$,
could be consistent with the current cosmological observations when the vacuum
density appears as an independently conserved energy component. In this case,
the model is called holographic Ricci scalar dark energy model in the
literature.
| [
{
"created": "Wed, 24 Dec 2008 08:49:47 GMT",
"version": "v1"
},
{
"created": "Sat, 27 Dec 2008 07:27:21 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Cai",
"Rong-Gen",
""
],
[
"Hu",
"Bin",
""
],
[
"Zhang",
"Yi",
""
]
] | The constraint on the total energy in a given spatial region is given from holography by the mass of a black hole which just fits in that region, which leads to an UV/IR relation: the maximal energy density in that region is proportional to $M_p^2/L^2$, where $M_p$ is the Planck mass and $L$ is the spatial scale of that region under consideration. Assuming the maximal black hole in the universe is formed through gravitational collapse of perturbations in the universe, then the "Jeans" scale of the perturbations gives a causal connection scale $R_{\rm CC}$. For gravitational perturbations, $R^{-2}_{\rm CC}={\rm Max}(\dot H+2H^2, -\dot H)$ for a flat universe. We study the cosmological dynamics of the corresponding vacuum energy density by choosing the causal connection scale as the IR cutoff in the UV/IR relation, in the cases of the vacuum energy density as an independently conserved energy component and an effective dynamical cosmological constant, respectively. It turns out that only the case with the choice $R_{\rm CC}^{-2}= \dot H +2H^2$, could be consistent with the current cosmological observations when the vacuum density appears as an independently conserved energy component. In this case, the model is called holographic Ricci scalar dark energy model in the literature. |
1106.4394 | Ram Brustein | Ram Brustein, Dan Gorbonos, Merav Hadad and A.J.M. Medved | Evaluating the Wald Entropy from two-derivative terms in quadratic
actions | null | null | 10.1103/PhysRevD.84.064011 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We evaluate the Wald Noether charge entropy for a black hole in generalized
theories of gravity. Expanding the Lagrangian to second order in gravitational
perturbations, we show that contributions to the entropy density originate only
from the coefficients of two-derivative terms. The same considerations are
extended to include matter fields and to show that arbitrary powers of matter
fields and their symmetrized covariant derivatives cannot contribute to the
entropy density. We also explain how to use the linearized gravitational field
equation rather than quadratic actions to obtain the same results. Several
explicit examples are presented that allow us to clarify subtle points in the
derivation and application of our method.
| [
{
"created": "Wed, 22 Jun 2011 08:55:59 GMT",
"version": "v1"
}
] | 2015-05-28 | [
[
"Brustein",
"Ram",
""
],
[
"Gorbonos",
"Dan",
""
],
[
"Hadad",
"Merav",
""
],
[
"Medved",
"A. J. M.",
""
]
] | We evaluate the Wald Noether charge entropy for a black hole in generalized theories of gravity. Expanding the Lagrangian to second order in gravitational perturbations, we show that contributions to the entropy density originate only from the coefficients of two-derivative terms. The same considerations are extended to include matter fields and to show that arbitrary powers of matter fields and their symmetrized covariant derivatives cannot contribute to the entropy density. We also explain how to use the linearized gravitational field equation rather than quadratic actions to obtain the same results. Several explicit examples are presented that allow us to clarify subtle points in the derivation and application of our method. |
hep-th/0401078 | Piljin Yi | Takao Suyama, Piljin Yi | A Holographic View on Matrix Model of Black Hole | LaTeX, 19 pages | JHEP 0402:017,2004 | 10.1088/1126-6708/2004/02/017 | KIAS-P04005 | hep-th | null | We investigate a deformed matrix model proposed by Kazakov et.al. in relation
to Witten's two-dimensional black hole. The existing conjectures assert the
equivalence of the two by mapping each to a deformed c=1 theory called the
sine-Liouville theory. We point out that the matrix theory in question may be
naturally interpreted as a gauged quantum mechanics deformed by insertion of an
exponentiated Wilson loop operator, which gives us more direct and holographic
map between the two sides. The matrix model in the usual scaling limit must
correspond to the bosonic SL(2,R)/U(1) theory in genus expansion but exact in
\alpha'. We successfully test this by computing the Wilson loop expectation
value and comparing it against the bulk computation. For the latter, we employ
the \alpha'-exact geometry proposed by Dijkgraaf, Verlinde, and Verlinde, which
was further advocated by Tseytlin. We close with comments on open problems.
| [
{
"created": "Tue, 13 Jan 2004 00:00:49 GMT",
"version": "v1"
}
] | 2010-02-03 | [
[
"Suyama",
"Takao",
""
],
[
"Yi",
"Piljin",
""
]
] | We investigate a deformed matrix model proposed by Kazakov et.al. in relation to Witten's two-dimensional black hole. The existing conjectures assert the equivalence of the two by mapping each to a deformed c=1 theory called the sine-Liouville theory. We point out that the matrix theory in question may be naturally interpreted as a gauged quantum mechanics deformed by insertion of an exponentiated Wilson loop operator, which gives us more direct and holographic map between the two sides. The matrix model in the usual scaling limit must correspond to the bosonic SL(2,R)/U(1) theory in genus expansion but exact in \alpha'. We successfully test this by computing the Wilson loop expectation value and comparing it against the bulk computation. For the latter, we employ the \alpha'-exact geometry proposed by Dijkgraaf, Verlinde, and Verlinde, which was further advocated by Tseytlin. We close with comments on open problems. |
hep-th/0006245 | Valavane | Koumarane Valavane | Regularization of 2d supersymmetric Yang-Mills theory via non
commutative geometry | null | Class.Quant.Grav. 17 (2000) 4491-4514 | 10.1088/0264-9381/17/21/310 | null | hep-th | null | The non commutative geometry is a possible framework to regularize Quantum
Field Theory in a nonperturbative way. This idea is an extension of the lattice
approximation by non commutativity that allows to preserve symmetries. The
supersymmetric version is also studied and more precisely in the case of the
Schwinger model on supersphere [14]. This paper is a generalization of this
latter work to more general gauge groups.
| [
{
"created": "Fri, 30 Jun 2000 14:15:03 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Valavane",
"Koumarane",
""
]
] | The non commutative geometry is a possible framework to regularize Quantum Field Theory in a nonperturbative way. This idea is an extension of the lattice approximation by non commutativity that allows to preserve symmetries. The supersymmetric version is also studied and more precisely in the case of the Schwinger model on supersphere [14]. This paper is a generalization of this latter work to more general gauge groups. |
1309.2847 | Jun Zhang | Jaume Garriga, Alexander Vilenkin, Jun Zhang | Non-singular bounce transitions in the multiverse | 29 pages, 11 figures, references added | null | 10.1088/1475-7516/2013/11/055 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | According to classical GR, negative-energy (AdS) bubbles in the multiverse
terminate in big crunch singularities. It has been conjectured, however, that
the fundamental theory may resolve these singularities and replace them by
non-singular bounces. Here we explore possible dynamics of such bounces using a
simple modification of the Friedmann equation, which ensures that the scale
factor bounces when the matter density reaches some critical value $\rho_c$.
This is combined with a simple scalar field `landscape', where the energy
barriers between different vacua are small compared to $\rho_c$. We find that
the bounce typically results in a transition to another vacuum, with a scalar
field displacement $\Delta\phi \sim 1$ in Planck units. If the new vacuum is
AdS, we have another bounce, and so on, until the field finally transits to a
positive-energy (de Sitter) vacuum. We also consider perturbations about the
homogeneous solution and discuss some of their amplification mechanisms (e.g.,
tachyonic instability and parametric resonance). For a generic potential, these
mechanisms are much less efficient than in models of slow-roll inflation. But
the amplification may still be strong enough to cause the bubble to fragment
into a mosaic of different vacua.
| [
{
"created": "Wed, 11 Sep 2013 14:54:40 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Sep 2013 01:32:42 GMT",
"version": "v2"
}
] | 2015-06-17 | [
[
"Garriga",
"Jaume",
""
],
[
"Vilenkin",
"Alexander",
""
],
[
"Zhang",
"Jun",
""
]
] | According to classical GR, negative-energy (AdS) bubbles in the multiverse terminate in big crunch singularities. It has been conjectured, however, that the fundamental theory may resolve these singularities and replace them by non-singular bounces. Here we explore possible dynamics of such bounces using a simple modification of the Friedmann equation, which ensures that the scale factor bounces when the matter density reaches some critical value $\rho_c$. This is combined with a simple scalar field `landscape', where the energy barriers between different vacua are small compared to $\rho_c$. We find that the bounce typically results in a transition to another vacuum, with a scalar field displacement $\Delta\phi \sim 1$ in Planck units. If the new vacuum is AdS, we have another bounce, and so on, until the field finally transits to a positive-energy (de Sitter) vacuum. We also consider perturbations about the homogeneous solution and discuss some of their amplification mechanisms (e.g., tachyonic instability and parametric resonance). For a generic potential, these mechanisms are much less efficient than in models of slow-roll inflation. But the amplification may still be strong enough to cause the bubble to fragment into a mosaic of different vacua. |
hep-th/9612029 | Roman Paunov | H. Belich and R. Paunov | $A_n^{(1)}$ Toda solitons and the dressing symmetry | 26 pages, Latex file, amssym.def needed, no figures; one new
reference added | J.Math.Phys. 38 (1997) 4108-4127 | 10.1063/1.532086 | CBPF.NF.059/96 | hep-th | null | We present an elementary derivation of the soliton-like solutions in the
$A_n^{(1)}$ Toda models which is alternative to the previously used Hirota
method. The solutions of the underlying linear problem corresponding to the
N-solitons are calculated. This enables us to obtain explicit expression for
the element which by dressing group action, produces a generic soliton
solution. In the particular example of monosolitons we suggest a relation to
the vertex operator formalism, previously used by Olive, Turok and Underwood.
Our results can also be considered as generalization of the approach to the
sine-Gordon solitons, proposed by Babelon and Bernard.
| [
{
"created": "Tue, 3 Dec 1996 04:50:23 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Dec 1996 02:43:30 GMT",
"version": "v2"
},
{
"created": "Wed, 18 Dec 1996 05:33:55 GMT",
"version": "v3"
}
] | 2009-10-30 | [
[
"Belich",
"H.",
""
],
[
"Paunov",
"R.",
""
]
] | We present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are calculated. This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard. |
0907.1761 | Aristomenis Donos | Aristomenis Donos, Jerome P. Gauntlett | Schrodinger invariant solutions of type IIB with enhanced supersymmetry | 27 pages, version to appear in JHEP | JHEP 0910:073,2009 | 10.1088/1126-6708/2009/10/073 | DESY 09-107, Imperial/TP/2009/JG/06 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the Killing spinors for a class of supersymmetric solutions of
type IIB supergravity that are invariant under the non-relativistic Schrodinger
algebra. The solutions depend on a five-dimensional Sasaki-Einstein space and
it has been shown that they admit two Killing spinors. Here we will show that,
for generic Sasaki-Einstein space, there are special subclasses of solutions
which admit six Killing spinors and we determine the corresponding
superisometry algebra. We also show that for the special case that the
Sasaki-Einstein space is the round five-sphere, the number of Killing spinors
can be increased to twelve.
| [
{
"created": "Fri, 10 Jul 2009 09:22:36 GMT",
"version": "v1"
},
{
"created": "Fri, 23 Oct 2009 19:44:11 GMT",
"version": "v2"
}
] | 2009-11-05 | [
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
]
] | We construct the Killing spinors for a class of supersymmetric solutions of type IIB supergravity that are invariant under the non-relativistic Schrodinger algebra. The solutions depend on a five-dimensional Sasaki-Einstein space and it has been shown that they admit two Killing spinors. Here we will show that, for generic Sasaki-Einstein space, there are special subclasses of solutions which admit six Killing spinors and we determine the corresponding superisometry algebra. We also show that for the special case that the Sasaki-Einstein space is the round five-sphere, the number of Killing spinors can be increased to twelve. |
hep-th/9805065 | Paul Townsend | E. Bergshoeff, D. Sorokin and P.K. Townsend | The M5-brane Hamiltonian | Latex 18 pp | Nucl.Phys. B533 (1998) 303-316 | 10.1016/S0550-3213(98)00504-5 | UG-11/98 | hep-th | null | We obtain the Hamiltonian form of the worldvolume action for the M5-brane in
a general D=11 supergravity background. We use this result to obtain a new
version of the covariant M5-brane Lagrangian in which the tension appears as a
dynamical variable, although this Lagrangian has some unsatisfactory features
which we trace to peculiarities of the null limit. We also show that the
M5-brane action is invariant under all (super)isometries of the background.
| [
{
"created": "Mon, 11 May 1998 21:33:58 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bergshoeff",
"E.",
""
],
[
"Sorokin",
"D.",
""
],
[
"Townsend",
"P. K.",
""
]
] | We obtain the Hamiltonian form of the worldvolume action for the M5-brane in a general D=11 supergravity background. We use this result to obtain a new version of the covariant M5-brane Lagrangian in which the tension appears as a dynamical variable, although this Lagrangian has some unsatisfactory features which we trace to peculiarities of the null limit. We also show that the M5-brane action is invariant under all (super)isometries of the background. |
hep-th/9807029 | null | Ricardo Troncoso and Jorge Zanelli | Gauge Supergravities for all Odd Dimensions | Final version to appear in Int.Jour.of Theor.Phys., 12 pages, RevTeX,
no figures, two columns, corrected typos in eqs.(23-29), additional reference | Int.J.Theor.Phys.38:1181-1206,1999 | 10.1023/A:1026614631617 | null | hep-th | null | Recently proposed supergravity theories in odd dimensions whose fields are
connection one-forms for the minimal supersymmetric extensions of anti-de
Sitter gravity are discussed. Two essential ingredients are required for this
construction: (1) The superalgebras, which extend the adS algebra for different
dimensions, and (2) the lagrangians, which are Chern-Simons $(2n-1)$-forms. The
first item completes the analysis of van Holten and Van Proeyen, which was
valid for N=1 only. The second ensures that the actions are invariant by
construction under the gauge supergroup and, in particular, under local
supersymmetry. Thus, unlike standard supergravity, the local supersymmetry
algebra closes off-shell and without requiring auxiliary fields. \\
The superalgebras are constructed for all dimensions and they fall into three
families: $osp(m|N)$ for $D=2,3,4$, mod 8, $osp(N|m)$ for $D=6,7,8$, mod 8, and
$su(m-2,2|N)$ for D=5 mod 4, with $m=2^{[D/2]}$. The lagrangian is constructed
for $D=5, 7$ and 11. In all cases the field content includes the vielbein
($e_{\mu}^{a}$), the spin connection ($\omega_{\mu}^{ab}$), $N$ gravitini
($\psi_{\mu}^{i}$), and some extra bosonic "matter" fields which vary from one
dimension to another.
| [
{
"created": "Fri, 3 Jul 1998 14:22:37 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 1998 01:34:11 GMT",
"version": "v2"
}
] | 2011-04-15 | [
[
"Troncoso",
"Ricardo",
""
],
[
"Zanelli",
"Jorge",
""
]
] | Recently proposed supergravity theories in odd dimensions whose fields are connection one-forms for the minimal supersymmetric extensions of anti-de Sitter gravity are discussed. Two essential ingredients are required for this construction: (1) The superalgebras, which extend the adS algebra for different dimensions, and (2) the lagrangians, which are Chern-Simons $(2n-1)$-forms. The first item completes the analysis of van Holten and Van Proeyen, which was valid for N=1 only. The second ensures that the actions are invariant by construction under the gauge supergroup and, in particular, under local supersymmetry. Thus, unlike standard supergravity, the local supersymmetry algebra closes off-shell and without requiring auxiliary fields. \\ The superalgebras are constructed for all dimensions and they fall into three families: $osp(m|N)$ for $D=2,3,4$, mod 8, $osp(N|m)$ for $D=6,7,8$, mod 8, and $su(m-2,2|N)$ for D=5 mod 4, with $m=2^{[D/2]}$. The lagrangian is constructed for $D=5, 7$ and 11. In all cases the field content includes the vielbein ($e_{\mu}^{a}$), the spin connection ($\omega_{\mu}^{ab}$), $N$ gravitini ($\psi_{\mu}^{i}$), and some extra bosonic "matter" fields which vary from one dimension to another. |
hep-th/0303078 | Metin Gurses | Metin Gurses (Bilkent University) and Ozgur Sarioglu (METU) | Lienard-Wiechert Potentials in Even Dimensions | LaTeX, 17 pages | J.Math.Phys. 44 (2003) 4672-4680 | 10.1063/1.1613040 | null | hep-th math-ph math.MP | null | The motion of point charged particles is considered in an even dimensional
Minkowski space-time. The potential functions corresponding to the massless
scalar and the Maxwell fields are derived algorithmically. It is shown that in
all even dimensions particles lose energy due to acceleration.
| [
{
"created": "Mon, 10 Mar 2003 11:21:27 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jun 2003 08:19:18 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gurses",
"Metin",
"",
"Bilkent University"
],
[
"Sarioglu",
"Ozgur",
"",
"METU"
]
] | The motion of point charged particles is considered in an even dimensional Minkowski space-time. The potential functions corresponding to the massless scalar and the Maxwell fields are derived algorithmically. It is shown that in all even dimensions particles lose energy due to acceleration. |
2004.13058 | Sayantan Choudhury | Subhashish Banerjee, Sayantan Choudhury, Satyaki Chowdhury, Rathindra
Nath Das, Nitin Gupta, Sudhakar Panda, Abinash Swain | Indirect detection of Cosmological Constant from interacting open
quantum system | 28 pages, 7 figures, This project is the part of the non-profit
virtual international research consortium "Quantum Structures of the
Space-Time & Matter (QASTM)", Accepted for publication in Annals of Physics | Annals of Physics 443 (2022) 168941 | 10.1016/j.aop.2022.168941 | null | hep-th cond-mat.stat-mech gr-qc hep-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the indirect detection of Cosmological Constant from an open quantum
system of interacting spins, weakly interacting with a thermal bath, a massless
scalar field minimally coupled with the static de Sitter background, by
computing the spectroscopic shifts. By assuming pairwise interaction between
spins, we construct states using a generalisation of the superposition
principle. The corresponding spectroscopic shifts, caused by the effective
Hamiltonian of the system due to Casimir Polder interaction, are seen to play a
crucial role in predicting a very tiny value of the Cosmological Constant, in
the static patch of de Sitter space, which is consistent with the observed
value from the Planck measurements of the cosmic microwave background (CMB)
anisotropies.
| [
{
"created": "Mon, 27 Apr 2020 18:00:26 GMT",
"version": "v1"
},
{
"created": "Sun, 17 May 2020 03:31:57 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Feb 2021 06:45:15 GMT",
"version": "v3"
},
{
"created": "Sun, 18 Jul 2021 05:28:09 GMT",
"version": "v4"
},
{
"cr... | 2022-06-22 | [
[
"Banerjee",
"Subhashish",
""
],
[
"Choudhury",
"Sayantan",
""
],
[
"Chowdhury",
"Satyaki",
""
],
[
"Das",
"Rathindra Nath",
""
],
[
"Gupta",
"Nitin",
""
],
[
"Panda",
"Sudhakar",
""
],
[
"Swain",
"Abinash",
... | We study the indirect detection of Cosmological Constant from an open quantum system of interacting spins, weakly interacting with a thermal bath, a massless scalar field minimally coupled with the static de Sitter background, by computing the spectroscopic shifts. By assuming pairwise interaction between spins, we construct states using a generalisation of the superposition principle. The corresponding spectroscopic shifts, caused by the effective Hamiltonian of the system due to Casimir Polder interaction, are seen to play a crucial role in predicting a very tiny value of the Cosmological Constant, in the static patch of de Sitter space, which is consistent with the observed value from the Planck measurements of the cosmic microwave background (CMB) anisotropies. |
1607.05926 | Motomu Tsuda | Kazunari Shima, Motomu Tsuda | On the role of the commutator algebra for nonlinear supersymmetry | 9 pages, improved version | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss a closure of commutator algebras for general functionals in terms
of Nambu-Goldstone fermions and their derivative terms under nonlinear
supersymmetry (NLSUSY) both in flat spacetime and in curved spacetime. We point
out that variations of functionals for vector supermultiplets (uniquely)
determine general LSUSY transformations for linear vector supermutiplets with
general auxiliary fields in extended SUSY, where the closure of the commutator
algebras for NLSUSY plays a crucial role.
| [
{
"created": "Wed, 20 Jul 2016 12:02:08 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Aug 2016 07:33:56 GMT",
"version": "v2"
}
] | 2016-09-01 | [
[
"Shima",
"Kazunari",
""
],
[
"Tsuda",
"Motomu",
""
]
] | We discuss a closure of commutator algebras for general functionals in terms of Nambu-Goldstone fermions and their derivative terms under nonlinear supersymmetry (NLSUSY) both in flat spacetime and in curved spacetime. We point out that variations of functionals for vector supermultiplets (uniquely) determine general LSUSY transformations for linear vector supermutiplets with general auxiliary fields in extended SUSY, where the closure of the commutator algebras for NLSUSY plays a crucial role. |
hep-th/9611178 | Park Dhal | Youngjai Kiem and Dahl Park | General Static Spherical Solutions of d-dimensional Charged Dilaton
Gravity Theories | 22 pages, revtex, a version to appear in Nuclear Physics B | Nucl.Phys.B486:114-130,1997 | 10.1016/S0550-3213(96)00658-X | null | hep-th | null | We get the general static, spherically symmetric solutions of the
d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them
to a class of 2-dimensional dilaton gravity theories. By studying the
symmetries of the actions for the static equations of motion, we find field
redefinitions that nearly reduce these theories to the d-dimensional
Einstein-Maxwell-Scalar theories, and therefore enable us to get the exact
solutions. We do not make any assumption about the asymptotic space-time
structure. As a result, our 4-dimensional solutions contain the asymptotically
flat Garfinkle-Horowitz-Strominger (GHS) solutions and the non-asymptotically
flat Chan-Horne-Mann (CHM) solutions. Besides, we find some new solutions with
a finite range of allowed radius of the transversal sphere. These results
generalize to an arbitrary space-time dimension d (d>3).
| [
{
"created": "Fri, 22 Nov 1996 03:21:36 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Kiem",
"Youngjai",
""
],
[
"Park",
"Dahl",
""
]
] | We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions for the static equations of motion, we find field redefinitions that nearly reduce these theories to the d-dimensional Einstein-Maxwell-Scalar theories, and therefore enable us to get the exact solutions. We do not make any assumption about the asymptotic space-time structure. As a result, our 4-dimensional solutions contain the asymptotically flat Garfinkle-Horowitz-Strominger (GHS) solutions and the non-asymptotically flat Chan-Horne-Mann (CHM) solutions. Besides, we find some new solutions with a finite range of allowed radius of the transversal sphere. These results generalize to an arbitrary space-time dimension d (d>3). |
1906.09448 | Alon Faraggi | Alon E. Faraggi | String Phenomenology From a Worldsheet Perspective | 19 pages. Standard LaTex. Published version. Minor typos | null | 10.1140/epjc/s10052-019-7222-5 | LTH 1208 | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I argue that the ten dimensional non--supersymmetric tachyonic superstrings
may serve as good starting points for the construction of viable
phenomenological vacua. Thus, enlarging the space of possible solutions that
may address some of the outstanding problems in string phenomenology. A tachyon
free six generation Standard--like Model is presented, which can be regarded as
an orbifold of the $SO(16)\times E_8$ heterotic--string in ten dimensions. I
propose that any $(2,0)$ heterotic--string in four dimensions can be connected
to a $(2,2)$ one via an orbifold or by interpolations and provide some evidence
for this conjecture. It suggests that any Effective Field Theory (EFT) model
that cannot be connected to a $(2,2)$ theory is necessarily in the swampland,
and will simplify the analysis of the moduli spaces of $(2,0)$ string
compactifications.
| [
{
"created": "Sat, 22 Jun 2019 13:50:29 GMT",
"version": "v1"
},
{
"created": "Sat, 14 Dec 2019 18:29:16 GMT",
"version": "v2"
}
] | 2019-12-17 | [
[
"Faraggi",
"Alon E.",
""
]
] | I argue that the ten dimensional non--supersymmetric tachyonic superstrings may serve as good starting points for the construction of viable phenomenological vacua. Thus, enlarging the space of possible solutions that may address some of the outstanding problems in string phenomenology. A tachyon free six generation Standard--like Model is presented, which can be regarded as an orbifold of the $SO(16)\times E_8$ heterotic--string in ten dimensions. I propose that any $(2,0)$ heterotic--string in four dimensions can be connected to a $(2,2)$ one via an orbifold or by interpolations and provide some evidence for this conjecture. It suggests that any Effective Field Theory (EFT) model that cannot be connected to a $(2,2)$ theory is necessarily in the swampland, and will simplify the analysis of the moduli spaces of $(2,0)$ string compactifications. |
1503.06418 | James Read | Yang-Hui He and James Read | Dessins d'Enfants in $\mathcal{N}=2$ Generalised Quiver Theories | 44 pages, 8 figures. v2: Minor corrections made throughout the text.
Matches published version. Background discussion of BPS quivers based upon
arXiv:1109.4941 | JHEP08(2015)085 | 10.1007/JHEP08(2015)085 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study Grothendieck's dessins d'enfants in the context of the
$\mathcal{N}=2$ supersymmetric gauge theories in $\left(3+1\right)$ dimensions
with product $SU\left(2\right)$ gauge groups which have recently been
considered by Gaiotto et al. We identify the precise context in which dessins
arise in these theories: they are the so-called ribbon graphs of such theories
at certain isolated points in the Coulomb branch of the moduli space. With this
point in mind, we highlight connections to other work on trivalent dessins,
gauge theories, and the modular group.
| [
{
"created": "Sun, 22 Mar 2015 12:32:49 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2015 07:14:12 GMT",
"version": "v2"
}
] | 2015-09-16 | [
[
"He",
"Yang-Hui",
""
],
[
"Read",
"James",
""
]
] | We study Grothendieck's dessins d'enfants in the context of the $\mathcal{N}=2$ supersymmetric gauge theories in $\left(3+1\right)$ dimensions with product $SU\left(2\right)$ gauge groups which have recently been considered by Gaiotto et al. We identify the precise context in which dessins arise in these theories: they are the so-called ribbon graphs of such theories at certain isolated points in the Coulomb branch of the moduli space. With this point in mind, we highlight connections to other work on trivalent dessins, gauge theories, and the modular group. |
hep-th/9612255 | Igor Kanatczikow | I. V. Kanatchikov | Novel algebraic structures from the polysymplectic form in field theory | 6 pages, LaTeX. Talk at Gropu21, Goslar (Germany) 1996. Typos in math
notation fixed, refs updated, minor style improvements | GROUP21, Physical Applications and Mathematical Aspects of
Geometry, Groups and Algebras, vol. 2, eds. H.-D. Doebner e.a. (World Sci.,
Singapore, 1997) p. 894 | null | null | hep-th alg-geom dg-ga math.AG math.DG math.QA q-alg | null | The polysymplectic $(n+1)$-form is introduced as an analogue of the
symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of
field theory. The corresponding Poisson brackets on differential forms are
constructed. The analogues of the Poisson algebra are shown to be generalized
(non-commutative and higher-order) Gerstenhaber algebras defined in the text.
| [
{
"created": "Tue, 31 Dec 1996 20:57:26 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Oct 1997 17:39:42 GMT",
"version": "v2"
}
] | 2008-02-03 | [
[
"Kanatchikov",
"I. V.",
""
]
] | The polysymplectic $(n+1)$-form is introduced as an analogue of the symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of field theory. The corresponding Poisson brackets on differential forms are constructed. The analogues of the Poisson algebra are shown to be generalized (non-commutative and higher-order) Gerstenhaber algebras defined in the text. |
2308.01149 | Jagannath Santara | Chethan N. Gowdigere, Sachin Kala, Jagannath Santara | Classifying three-character RCFTs with Wronskian index equalling 3 or 4 | 64 pages, 20 tables | null | null | null | hep-th math-ph math.MP | http://creativecommons.org/licenses/by/4.0/ | In the Mathur-Mukhi-Sen (MMS) classification scheme for rational conformal
field theories (RCFTs), a RCFT is identified by a pair of non-negative integers
$\mathbf{[n, \ell]}$, with $\mathbf{n}$ being the number of characters and
$\mathbf{\ell}$ the Wronskian index. The modular linear differential equation
(MLDE) that the characters of a RCFT solve are labelled similarly. All RCFTs
with a given $\mathbf{[n, \ell]}$ solve the modular linear differential
equation (MLDE) labelled by the same $\mathbf{[n, \ell]}$. With the goal of
classifying $\mathbf{[3,3]}$ and $\mathbf{[3,4]}$ CFTs, we set-up and solve
those MLDEs, each of which is a three-parameter non-rigid MLDE, for
character-like solutions. In the former case, we obtain four infinite families
and a discrete set of $15$ solutions, all in the range $0 < c \leq 32$. Amongst
these $\mathbf{[3,3]}$ character-like solutions, we find pairs of them that
form coset-bilinear relations with meromorphic CFTs/characters of central
charges $16, 24, 32, 40, 48, 56, 64$. There are six families of coset-bilinear
relations where both the RCFTs of the pair are drawn from the infinite families
of solutions. There are an additional $23$ coset-bilinear relations between
character-like solutions of the discrete set. The coset-bilinear relations
should help in identifying the $\mathbf{[3,3]}$ CFTs. In the $\mathbf{[3,4]}$
case, we obtain nine character-like solutions each of which is a
$\mathbf{[2,2]}$ character-like solution adjoined with a constant character.
| [
{
"created": "Wed, 2 Aug 2023 13:49:12 GMT",
"version": "v1"
}
] | 2023-08-03 | [
[
"Gowdigere",
"Chethan N.",
""
],
[
"Kala",
"Sachin",
""
],
[
"Santara",
"Jagannath",
""
]
] | In the Mathur-Mukhi-Sen (MMS) classification scheme for rational conformal field theories (RCFTs), a RCFT is identified by a pair of non-negative integers $\mathbf{[n, \ell]}$, with $\mathbf{n}$ being the number of characters and $\mathbf{\ell}$ the Wronskian index. The modular linear differential equation (MLDE) that the characters of a RCFT solve are labelled similarly. All RCFTs with a given $\mathbf{[n, \ell]}$ solve the modular linear differential equation (MLDE) labelled by the same $\mathbf{[n, \ell]}$. With the goal of classifying $\mathbf{[3,3]}$ and $\mathbf{[3,4]}$ CFTs, we set-up and solve those MLDEs, each of which is a three-parameter non-rigid MLDE, for character-like solutions. In the former case, we obtain four infinite families and a discrete set of $15$ solutions, all in the range $0 < c \leq 32$. Amongst these $\mathbf{[3,3]}$ character-like solutions, we find pairs of them that form coset-bilinear relations with meromorphic CFTs/characters of central charges $16, 24, 32, 40, 48, 56, 64$. There are six families of coset-bilinear relations where both the RCFTs of the pair are drawn from the infinite families of solutions. There are an additional $23$ coset-bilinear relations between character-like solutions of the discrete set. The coset-bilinear relations should help in identifying the $\mathbf{[3,3]}$ CFTs. In the $\mathbf{[3,4]}$ case, we obtain nine character-like solutions each of which is a $\mathbf{[2,2]}$ character-like solution adjoined with a constant character. |
hep-th/0506258 | Rodolfo Casana R. Casana | R. Casana, B. M. Pimentel and J. S. Valverde | Electromagnetic field at Finite Temperature: A first order approach | 6 pages, Latex2e, title changed and minimal modifications | PhysicaA370:441-448,2006 | 10.1016/j.physa.2006.05.020 | null | hep-th | null | In this work we study the electromagnetic field at Finite Temperature via the
massless DKP formalism. The constraint analysis is performed and the partition
function for the theory is constructed and computed. When it is specialized to
the spin 1 sector we obtain the well-known result for the thermodynamic
equilibrium of the electromagnetic field.
| [
{
"created": "Thu, 30 Jun 2005 04:57:22 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Feb 2006 03:41:15 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Feb 2007 02:48:09 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Casana",
"R.",
""
],
[
"Pimentel",
"B. M.",
""
],
[
"Valverde",
"J. S.",
""
]
] | In this work we study the electromagnetic field at Finite Temperature via the massless DKP formalism. The constraint analysis is performed and the partition function for the theory is constructed and computed. When it is specialized to the spin 1 sector we obtain the well-known result for the thermodynamic equilibrium of the electromagnetic field. |
hep-th/0405120 | Alex Giacomini | Alex Giacomini | Description of Black Hole Microstates by Means of a Free Affine-Scalar
Field | LaTex, 15 pages | null | null | null | hep-th | null | In this article we will investigate the origin of central extensions in the
Poisson algebra of charges, which arise in the dimensionally reduced theories
describing black holes. We will see that the equations of motion and
constraints arising from the dimensionally reduced action involve two fields
i.e. the dilaton and the conformal factor. This fields can be integrated by
means of a free field. The transformation properties of this field are studied.
It will be shown that in the near horizon approximation this field must
transform like an affine scalar. The stress tensor that generates such affine
transformations is the improved stress tensor. The second derivative term in
the tensor is responsible for the central extension in the Poisson algebra. It
is therefore the affine transformation property that is responsible for the
arising of central charges The central charge can be used to compute the black
hole entropy by means of the Cardy formula.
| [
{
"created": "Thu, 13 May 2004 12:14:06 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Giacomini",
"Alex",
""
]
] | In this article we will investigate the origin of central extensions in the Poisson algebra of charges, which arise in the dimensionally reduced theories describing black holes. We will see that the equations of motion and constraints arising from the dimensionally reduced action involve two fields i.e. the dilaton and the conformal factor. This fields can be integrated by means of a free field. The transformation properties of this field are studied. It will be shown that in the near horizon approximation this field must transform like an affine scalar. The stress tensor that generates such affine transformations is the improved stress tensor. The second derivative term in the tensor is responsible for the central extension in the Poisson algebra. It is therefore the affine transformation property that is responsible for the arising of central charges The central charge can be used to compute the black hole entropy by means of the Cardy formula. |
hep-th/0004001 | Jun-Chen Su | Jun-Chen Su | Lorentz-Covariant Quantization of Massless Non-Abelian Gauge Fields in
The Hamiltonian Path-Integral Formalism | 11 pages no figures | J.Phys. G27 (2001) 1493-1500 | 10.1088/0954-3899/27/7/309 | null | hep-th math-ph math.MP | null | The Lorentz-covariant quantization performed in the Hamiltonian path-integral
formalism for massless non-Abelian gauge fields has been achieved. In this
quantization, the Lorentz condition, as a constraint, must be introduced
initially and incorporated into the Yang-Mills Lagrangian by the Lagrange
undetermined multiplier method. In this way, it is found that all Lorentz
components of a vector potential have thier corresponding conjugate canonical
variables. This fact allows us to define Lorentz-invariant poisson brackets and
carry out the quantization in a Lorent-covariant manner. Key words: Non-Abelian
gauge field, quantization, Hamiltonian path-integral formalism, Lorentz
covariance.
| [
{
"created": "Sat, 1 Apr 2000 02:06:42 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Apr 2000 01:49:33 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Su",
"Jun-Chen",
""
]
] | The Lorentz-covariant quantization performed in the Hamiltonian path-integral formalism for massless non-Abelian gauge fields has been achieved. In this quantization, the Lorentz condition, as a constraint, must be introduced initially and incorporated into the Yang-Mills Lagrangian by the Lagrange undetermined multiplier method. In this way, it is found that all Lorentz components of a vector potential have thier corresponding conjugate canonical variables. This fact allows us to define Lorentz-invariant poisson brackets and carry out the quantization in a Lorent-covariant manner. Key words: Non-Abelian gauge field, quantization, Hamiltonian path-integral formalism, Lorentz covariance. |
hep-th/0509004 | Joseph Marsano | Daniel Jafferis, Joseph Marsano | A DK Phase Transition in q-Deformed Yang-Mills on S^2 and Topological
Strings | 24 pages + 2 Appendices, 5 figures, LaTeX; v2: typos and minor errors
corrected, references added, parts of sections 2.3 and 3.3 rewritten for
clarity, figure 4 corrected | null | null | null | hep-th | null | We demonstate the existence of a large $N$ phase transition with respect to
the 't Hooft coupling in q-deformed Yang-Mills theory on $S^2$. The strong
coupling phase is characterized by the formation of a clump of eigenvalues in
the associated matrix model of Douglas-Kazakov (DK) type (hep-th/9305047). By
understanding this in terms of instanton contributions to the q-deformed
Yang-Mills theory, we gain some insight into the strong coupling phase as well
as probe the phase diagram at nonzero values of the $\theta$ angle. The
Ooguri-Strominger-Vafa relation (hep-th/0405146) of this theory to topological
strings on the local Calabi-Yau $\mathcal{O}(-p) \oplus \mathcal{O}(p-2) \to
\mathbb{P}^1$ via a chiral decompostion at large $N$ hep-th/0411280, motivates
us to investigate the phase structure of the trivial chiral block, which
corresponds to the topological string partition function, for $p>2$. We find a
phase transition at a different value of the coupling than in the full theory,
indicating the likely presence of a rich phase structure in the sum over chiral
blocks.
| [
{
"created": "Thu, 1 Sep 2005 19:34:46 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Sep 2005 19:31:49 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Jafferis",
"Daniel",
""
],
[
"Marsano",
"Joseph",
""
]
] | We demonstate the existence of a large $N$ phase transition with respect to the 't Hooft coupling in q-deformed Yang-Mills theory on $S^2$. The strong coupling phase is characterized by the formation of a clump of eigenvalues in the associated matrix model of Douglas-Kazakov (DK) type (hep-th/9305047). By understanding this in terms of instanton contributions to the q-deformed Yang-Mills theory, we gain some insight into the strong coupling phase as well as probe the phase diagram at nonzero values of the $\theta$ angle. The Ooguri-Strominger-Vafa relation (hep-th/0405146) of this theory to topological strings on the local Calabi-Yau $\mathcal{O}(-p) \oplus \mathcal{O}(p-2) \to \mathbb{P}^1$ via a chiral decompostion at large $N$ hep-th/0411280, motivates us to investigate the phase structure of the trivial chiral block, which corresponds to the topological string partition function, for $p>2$. We find a phase transition at a different value of the coupling than in the full theory, indicating the likely presence of a rich phase structure in the sum over chiral blocks. |
2007.07242 | Daniel Lewis | Steven Abel, Daniel Lewis | Worldline theories with towers of internal states | Typos corrected | null | 10.1007/JHEP12(2020)069 | IPPP/20/29 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study particle theories that have a tower of worldline internal degrees of
freedom. Such a theory can arise when the worldsheet of closed strings is
dimensionally reduced to a worldline, in which case the tower is infinite with
regularly spaced masses. But our discussion is significantly more general than
this, and there is scope to consider all kinds of internal degrees of freedom
carried by the propagating particle. For example it is possible to consider
towers corresponding to other geometries, or towers with no obvious geometric
interpretation that still yield a modular invariant theory. Truncated towers
generate non-local particle theories that share with string theory the property
of having a Gross-Mende-like saddle point in their amplitudes. This provides a
novel framework for constructing exotic theories which may have desirable
properties such as finiteness and modular invariance.
| [
{
"created": "Tue, 14 Jul 2020 17:57:11 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 2020 17:38:42 GMT",
"version": "v2"
}
] | 2020-12-30 | [
[
"Abel",
"Steven",
""
],
[
"Lewis",
"Daniel",
""
]
] | We study particle theories that have a tower of worldline internal degrees of freedom. Such a theory can arise when the worldsheet of closed strings is dimensionally reduced to a worldline, in which case the tower is infinite with regularly spaced masses. But our discussion is significantly more general than this, and there is scope to consider all kinds of internal degrees of freedom carried by the propagating particle. For example it is possible to consider towers corresponding to other geometries, or towers with no obvious geometric interpretation that still yield a modular invariant theory. Truncated towers generate non-local particle theories that share with string theory the property of having a Gross-Mende-like saddle point in their amplitudes. This provides a novel framework for constructing exotic theories which may have desirable properties such as finiteness and modular invariance. |
1011.1232 | Claudia de Rham | Claudia de Rham, Gregory Gabadadze and Andrew J. Tolley | Resummation of Massive Gravity | v2: typos corrected; one discussion streamlined, one reference added | Phys.Rev.Lett.106:231101,2011 | 10.1103/PhysRevLett.106.231101 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct four-dimensional covariant non-linear theories of massive
gravity which are ghost-free in the decoupling limit to all orders. These
theories resum explicitly all the nonlinear terms of an effective field theory
of massive gravity. We show that away from the decoupling limit the Hamiltonian
constraint is maintained at least up to and including quartic order in
non-linearities, hence, excluding the possibility of the Boulware-Deser ghost
up to this order. We also show that the same remains true to all orders in a
similar toy-model.
| [
{
"created": "Thu, 4 Nov 2010 18:24:57 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Nov 2010 18:31:49 GMT",
"version": "v2"
}
] | 2011-07-25 | [
[
"de Rham",
"Claudia",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive gravity. We show that away from the decoupling limit the Hamiltonian constraint is maintained at least up to and including quartic order in non-linearities, hence, excluding the possibility of the Boulware-Deser ghost up to this order. We also show that the same remains true to all orders in a similar toy-model. |
hep-th/9810087 | Dirk Kreimer | D.J.Broadhurst and D.Kreimer (Erwin Schr\"odinger Institute, Vienna) | Renormalization automated by Hopf algebra | 22 pages, latex, epsf for figures | J.Symb.Comput. 27 (1999) 581 | null | ESI-619 | hep-th hep-ph math-ph math.CO math.MP math.QA | null | It was recently shown that the renormalization of quantum field theory is
organized by the Hopf algebra of decorated rooted trees, whose coproduct
identifies the divergences requiring subtraction and whose antipode achieves
this. We automate this process in a few lines of recursive symbolic code, which
deliver a finite renormalized expression for any Feynman diagram. We thus
verify a representation of the operator product expansion, which generalizes
Chen's lemma for iterated integrals. The subset of diagrams whose forest
structure entails a unique primitive subdivergence provides a representation of
the Hopf algebra ${\cal H}_R$ of undecorated rooted trees. Our undecorated Hopf
algebra program is designed to process the 24,213,878 BPHZ contributions to the
renormalization of 7,813 diagrams, with up to 12 loops. We consider 10 models,
each in 9 renormalization schemes. The two simplest models reveal a notable
feature of the subalgebra of Connes and Moscovici, corresponding to the
commutative part of the Hopf algebra ${\cal H}_T$ of the diffeomorphism group:
it assigns to Feynman diagrams those weights which remove zeta values from the
counterterms of the minimal subtraction scheme. We devise a fast algorithm for
these weights, whose squares are summed with a permutation factor, to give
rational counterterms.
| [
{
"created": "Tue, 13 Oct 1998 13:48:55 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Broadhurst",
"D. J.",
"",
"Erwin Schrödinger Institute, Vienna"
],
[
"Kreimer",
"D.",
"",
"Erwin Schrödinger Institute, Vienna"
]
] | It was recently shown that the renormalization of quantum field theory is organized by the Hopf algebra of decorated rooted trees, whose coproduct identifies the divergences requiring subtraction and whose antipode achieves this. We automate this process in a few lines of recursive symbolic code, which deliver a finite renormalized expression for any Feynman diagram. We thus verify a representation of the operator product expansion, which generalizes Chen's lemma for iterated integrals. The subset of diagrams whose forest structure entails a unique primitive subdivergence provides a representation of the Hopf algebra ${\cal H}_R$ of undecorated rooted trees. Our undecorated Hopf algebra program is designed to process the 24,213,878 BPHZ contributions to the renormalization of 7,813 diagrams, with up to 12 loops. We consider 10 models, each in 9 renormalization schemes. The two simplest models reveal a notable feature of the subalgebra of Connes and Moscovici, corresponding to the commutative part of the Hopf algebra ${\cal H}_T$ of the diffeomorphism group: it assigns to Feynman diagrams those weights which remove zeta values from the counterterms of the minimal subtraction scheme. We devise a fast algorithm for these weights, whose squares are summed with a permutation factor, to give rational counterterms. |
1906.08769 | Callum Brodie | Callum R. Brodie, Andrei Constantin, Rehan Deen, and Andre Lukas | Index Formulae for Line Bundle Cohomology on Complex Surfaces | 30 pages | null | 10.1002/prop.201900086 | null | hep-th math.AG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We conjecture and prove closed-form index expressions for the cohomology
dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for
all compact toric surfaces we provide a simple algorithm which allows
expression of any line bundle cohomology in terms of an index. These formulae
follow from general theorems we prove for a wider class of surfaces. In
particular, we construct a map that takes any effective line bundle to a nef
line bundle while preserving the zeroth cohomology dimension. For complex
surfaces, these results explain the appearance of piecewise polynomial
equations for cohomology and they are a first step towards understanding
similar formulae recently obtained for Calabi-Yau three-folds.
| [
{
"created": "Thu, 20 Jun 2019 17:52:08 GMT",
"version": "v1"
}
] | 2020-03-18 | [
[
"Brodie",
"Callum R.",
""
],
[
"Constantin",
"Andrei",
""
],
[
"Deen",
"Rehan",
""
],
[
"Lukas",
"Andre",
""
]
] | We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we provide a simple algorithm which allows expression of any line bundle cohomology in terms of an index. These formulae follow from general theorems we prove for a wider class of surfaces. In particular, we construct a map that takes any effective line bundle to a nef line bundle while preserving the zeroth cohomology dimension. For complex surfaces, these results explain the appearance of piecewise polynomial equations for cohomology and they are a first step towards understanding similar formulae recently obtained for Calabi-Yau three-folds. |
1401.4180 | Daniel Robbins | Daniel Robbins and Zhao Wang | Higher Derivative Corrections to O-plane Actions: NS-NS Sector | 54 pages | null | 10.1007/JHEP05(2014)072 | MIFPA-14-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We classify all possible two- and four-derivative couplings of bulk NS-NS
sector fields to a single Op-plane which are compatible with diffeomorphism
invariance and B-field gauge invariance. This is applicable to type IIA or IIB
superstrings or to the bosonic string. We then consider this general action in
various classes of backgrounds that admit a U(1) isometry and determine the
constraints on the couplings from consistency with T-duality. We show that this
consistency requires the two-derivative action to vanish, and the entire
non-linear four-derivative action is fixed up to one overall constant which can
be determined by comparison with a two-point scattering amplitude. The
resulting action is consistent with all previously computed couplings.
| [
{
"created": "Thu, 16 Jan 2014 21:07:24 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Robbins",
"Daniel",
""
],
[
"Wang",
"Zhao",
""
]
] | We classify all possible two- and four-derivative couplings of bulk NS-NS sector fields to a single Op-plane which are compatible with diffeomorphism invariance and B-field gauge invariance. This is applicable to type IIA or IIB superstrings or to the bosonic string. We then consider this general action in various classes of backgrounds that admit a U(1) isometry and determine the constraints on the couplings from consistency with T-duality. We show that this consistency requires the two-derivative action to vanish, and the entire non-linear four-derivative action is fixed up to one overall constant which can be determined by comparison with a two-point scattering amplitude. The resulting action is consistent with all previously computed couplings. |
2311.17146 | Tancredi Schettini Gherardini | Edward Hirst, Tancredi Schettini Gherardini | Calabi-Yau Four/Five/Six-folds as $\mathbb{P}^n_\textbf{w}$
Hypersurfaces: Machine Learning, Approximation, and Generation | 37 pages; 13 figures; 12 tables. v2: published version (Phys. Rev.
D), minor corrections | Phys. Rev. D 109, 106006 (2024) | 10.1103/PhysRevD.109.106006 | QMUL-PH-23-25 | hep-th math.AG stat.ML | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Calabi-Yau four-folds may be constructed as hypersurfaces in weighted
projective spaces of complex dimension 5 defined via weight systems of 6
weights. In this work, neural networks were implemented to learn the Calabi-Yau
Hodge numbers from the weight systems, where gradient saliency and symbolic
regression then inspired a truncation of the Landau-Ginzburg model formula for
the Hodge numbers of any dimensional Calabi-Yau constructed in this way. The
approximation always provides a tight lower bound, is shown to be dramatically
quicker to compute (with compute times reduced by up to four orders of
magnitude), and gives remarkably accurate results for systems with large
weights. Additionally, complementary datasets of weight systems satisfying the
necessary but insufficient conditions for transversality were constructed,
including considerations of the interior point, reflexivity, and
intradivisibility properties. Overall producing a classification of this weight
system landscape, further confirmed with machine learning methods. Using the
knowledge of this classification, and the properties of the presented
approximation, a novel dataset of transverse weight systems consisting of 7
weights was generated for a sum of weights $\leq 200$; producing a new database
of Calabi-Yau five-folds, with their respective topological properties
computed. Further to this an equivalent database of candidate Calabi-Yau
six-folds was generated with approximated Hodge numbers.
| [
{
"created": "Tue, 28 Nov 2023 19:00:00 GMT",
"version": "v1"
},
{
"created": "Tue, 7 May 2024 14:04:30 GMT",
"version": "v2"
}
] | 2024-05-08 | [
[
"Hirst",
"Edward",
""
],
[
"Gherardini",
"Tancredi Schettini",
""
]
] | Calabi-Yau four-folds may be constructed as hypersurfaces in weighted projective spaces of complex dimension 5 defined via weight systems of 6 weights. In this work, neural networks were implemented to learn the Calabi-Yau Hodge numbers from the weight systems, where gradient saliency and symbolic regression then inspired a truncation of the Landau-Ginzburg model formula for the Hodge numbers of any dimensional Calabi-Yau constructed in this way. The approximation always provides a tight lower bound, is shown to be dramatically quicker to compute (with compute times reduced by up to four orders of magnitude), and gives remarkably accurate results for systems with large weights. Additionally, complementary datasets of weight systems satisfying the necessary but insufficient conditions for transversality were constructed, including considerations of the interior point, reflexivity, and intradivisibility properties. Overall producing a classification of this weight system landscape, further confirmed with machine learning methods. Using the knowledge of this classification, and the properties of the presented approximation, a novel dataset of transverse weight systems consisting of 7 weights was generated for a sum of weights $\leq 200$; producing a new database of Calabi-Yau five-folds, with their respective topological properties computed. Further to this an equivalent database of candidate Calabi-Yau six-folds was generated with approximated Hodge numbers. |
0908.1303 | Peter Stichel | Peter C. Stichel | Conformal Galilean-type algebras, massless particles and gravitation | 12 pages | null | null | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | After defining conformal Galilean-type algebras for arbitrary dynamical
exponent $z$ we consider the particular cases of the conformal Galilei algebra
(CGA) and the Schr\"odinger Lie algebra (sch). Galilei massless particles
moving with arbitrary, finite velocity are introduced \begin{description}
\item{i)} in $d=2$ as a realization of the centrally extended CGA in 6
dimensional phase space, \item{ii)} in arbitrary spatial dimension $d$ as a
realization of the unextended \it{sch} in 4d dimensional phase space.
\end{description} A particle system, minimally coupled to gravity, shows,
besides Galilei symmetry, also invariance with respect to arbitrary time
dependent translations and to dilations with $z = (d +2)/3$. The most important
physical property of such a self-gravitating system is the appearance of a
dynamically generated gravitational mass density of either sign. Therefore,
this property may serve as a model for the dark sector of the universe. The
cosmological solutions of the corresponding hydrodynamical equations show a
deceleration phase for the early universe and an acceleration phase for the
late universe. This paper is based, in large part, on a recent work with W.J.
Zakrzewski: Can cosmic acceleration be caused by exotic massless particles?
arXiv:0904.1375 (astro-ph.CO) [1].
| [
{
"created": "Mon, 10 Aug 2009 12:10:18 GMT",
"version": "v1"
}
] | 2009-08-11 | [
[
"Stichel",
"Peter C.",
""
]
] | After defining conformal Galilean-type algebras for arbitrary dynamical exponent $z$ we consider the particular cases of the conformal Galilei algebra (CGA) and the Schr\"odinger Lie algebra (sch). Galilei massless particles moving with arbitrary, finite velocity are introduced \begin{description} \item{i)} in $d=2$ as a realization of the centrally extended CGA in 6 dimensional phase space, \item{ii)} in arbitrary spatial dimension $d$ as a realization of the unextended \it{sch} in 4d dimensional phase space. \end{description} A particle system, minimally coupled to gravity, shows, besides Galilei symmetry, also invariance with respect to arbitrary time dependent translations and to dilations with $z = (d +2)/3$. The most important physical property of such a self-gravitating system is the appearance of a dynamically generated gravitational mass density of either sign. Therefore, this property may serve as a model for the dark sector of the universe. The cosmological solutions of the corresponding hydrodynamical equations show a deceleration phase for the early universe and an acceleration phase for the late universe. This paper is based, in large part, on a recent work with W.J. Zakrzewski: Can cosmic acceleration be caused by exotic massless particles? arXiv:0904.1375 (astro-ph.CO) [1]. |
1310.7929 | Tarek Anous | Dionysios Anninos, Tarek Anous, Paul de Lange and George
Konstantinidis | Conformal Quivers and Melting Molecules | 49 pages, 16 figures | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quiver quantum mechanics describes the low energy dynamics of a system of
wrapped D-branes. It captures several aspects of single and multicentered BPS
black hole geometries in four-dimensional $\mathcal{N} = 2$ supergravity such
as the presence of bound states and an exponential growth of microstates. The
Coulomb branch of an Abelian three node quiver is obtained by integrating out
the massive strings connecting the D-particles. It allows for a scaling regime
corresponding to a deep AdS$_2$ throat on the gravity side. In this scaling
regime, the Coulomb branch is shown to be an $SL(2,\mathbb{R})$ invariant
multi-particle superconformal quantum mechanics. Finally, we integrate out the
strings at finite temperature---rather than in their ground state---and show
how the Coulomb branch `melts' into the Higgs branch at high enough
temperatures. For scaling solutions the melting occurs for arbitrarily small
temperatures, whereas bound states can be metastable and thus long lived.
Throughout the paper, we discuss how far the analogy between the quiver model
and the gravity picture, particularly within the AdS$_2$ throat, can be taken.
| [
{
"created": "Tue, 29 Oct 2013 19:38:14 GMT",
"version": "v1"
}
] | 2013-10-30 | [
[
"Anninos",
"Dionysios",
""
],
[
"Anous",
"Tarek",
""
],
[
"de Lange",
"Paul",
""
],
[
"Konstantinidis",
"George",
""
]
] | Quiver quantum mechanics describes the low energy dynamics of a system of wrapped D-branes. It captures several aspects of single and multicentered BPS black hole geometries in four-dimensional $\mathcal{N} = 2$ supergravity such as the presence of bound states and an exponential growth of microstates. The Coulomb branch of an Abelian three node quiver is obtained by integrating out the massive strings connecting the D-particles. It allows for a scaling regime corresponding to a deep AdS$_2$ throat on the gravity side. In this scaling regime, the Coulomb branch is shown to be an $SL(2,\mathbb{R})$ invariant multi-particle superconformal quantum mechanics. Finally, we integrate out the strings at finite temperature---rather than in their ground state---and show how the Coulomb branch `melts' into the Higgs branch at high enough temperatures. For scaling solutions the melting occurs for arbitrarily small temperatures, whereas bound states can be metastable and thus long lived. Throughout the paper, we discuss how far the analogy between the quiver model and the gravity picture, particularly within the AdS$_2$ throat, can be taken. |
1711.04784 | Stefanos Katmadas | Guillaume Bossard, Stefanos Katmadas, David Turton | Two Kissing Bolts | 41 pages, v2: typos corrected, published version | JHEP 1802 (2018) 008 | 10.1007/JHEP02(2018)008 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of non-supersymmetric black hole microstates offers the potential
to resolve the black hole information paradox. A system of equations was
recently obtained that enables the systematic construction of
non-supersymmetric smooth horizonless supergravity solutions, that are
candidates to describe microstates of non-extremal black holes. Within this
system we construct a family of six-dimensional supergravity solutions that
feature two topologically-nontrivial three-cycles known as bolts. The two bolts
touch at a single point and are supported by fluxes. We find that the fluxes on
the two three-cycles can be either aligned or anti-aligned, and exhibit
examples of both. We present several examples of smooth solutions, including
near-extremal solutions that have an approximate AdS$_3$ region, and far-from
extremal solutions that have arbitrarily small charge compared to their mass.
| [
{
"created": "Mon, 13 Nov 2017 19:00:12 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2018 09:38:21 GMT",
"version": "v2"
}
] | 2018-08-15 | [
[
"Bossard",
"Guillaume",
""
],
[
"Katmadas",
"Stefanos",
""
],
[
"Turton",
"David",
""
]
] | The study of non-supersymmetric black hole microstates offers the potential to resolve the black hole information paradox. A system of equations was recently obtained that enables the systematic construction of non-supersymmetric smooth horizonless supergravity solutions, that are candidates to describe microstates of non-extremal black holes. Within this system we construct a family of six-dimensional supergravity solutions that feature two topologically-nontrivial three-cycles known as bolts. The two bolts touch at a single point and are supported by fluxes. We find that the fluxes on the two three-cycles can be either aligned or anti-aligned, and exhibit examples of both. We present several examples of smooth solutions, including near-extremal solutions that have an approximate AdS$_3$ region, and far-from extremal solutions that have arbitrarily small charge compared to their mass. |
2001.06405 | Tanya Obikhod | Tetiana Obikhod, Ievgenii Petrenko | RR charge calculation for D brane in B field | 7 pages, materials were presented at the International Conference
"Morse theory and its applications", Kyiv, Ukraine, September 25-28, 2019 | IOSR Journal of Applied Physics (IOSR-JAP), V.12(2) Ser.II (2020),
p. 14-16 | 10.9790/4861-1202021416 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper is connected with searches for the Ramond-Ramond charge of D branes
in the presence of B field. The consideration of B field inclusion is an
important physical and mathematical unsolved problem, which is connected with K
group calculations of twisted bundles. Considered two cases of vector bundles,
Azumaya and Rosenberg algebras and analyzed their K group realization.
| [
{
"created": "Fri, 3 Jan 2020 10:41:48 GMT",
"version": "v1"
}
] | 2020-04-21 | [
[
"Obikhod",
"Tetiana",
""
],
[
"Petrenko",
"Ievgenii",
""
]
] | The paper is connected with searches for the Ramond-Ramond charge of D branes in the presence of B field. The consideration of B field inclusion is an important physical and mathematical unsolved problem, which is connected with K group calculations of twisted bundles. Considered two cases of vector bundles, Azumaya and Rosenberg algebras and analyzed their K group realization. |
hep-th/9512192 | Riccardo D'auria | Riccardo D'Auria | R-Symmetry, twisted N=2 Theory and the Role of the Dilaton | Proceedings of ``Susy95'', Palaiseaux, Ecole Polytechnique, May 95
LaTex, 8 pgs | null | null | POLFIS-TH/95-12 | hep-th | null | We discuss R-symmetry in locally supersymmetric $N=2$ gauge theories coupled
to hypermultiplets, which can be viewed as effective theories of heterotic
string models. In this type of supergravities a suitable R-symmetry exists and
can be used to topologically twist the theory. The vector multiplet of the
dilaton-axion field has a different R-charge assignment with respect to the
other vector multiplets.
| [
{
"created": "Sat, 23 Dec 1995 11:30:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"D'Auria",
"Riccardo",
""
]
] | We discuss R-symmetry in locally supersymmetric $N=2$ gauge theories coupled to hypermultiplets, which can be viewed as effective theories of heterotic string models. In this type of supergravities a suitable R-symmetry exists and can be used to topologically twist the theory. The vector multiplet of the dilaton-axion field has a different R-charge assignment with respect to the other vector multiplets. |
hep-th/9305076 | null | Ovid C. Jacob | Parity-Conserving Light-Cone Quantization of Quantum Field Theories | 12 pages, phyzzx, SLAC-PUB-6188 | null | null | null | hep-th | null | Parity violation is a long standing problem in light-cone quantization.
\REF\CPT{D. Soper, SLAC-REP-137, 1970, Chap. I . } \refend We propose a new
quantization on the light-cone which treats both the $x^{+}$ and the $x^{-}$
coordinates as light-cone 'times.'This quantization respects both parity and
time-reversal. We find that now both $P^{-}$ and $P^{+}$ become dynamical.
| [
{
"created": "Mon, 17 May 1993 19:36:00 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Jacob",
"Ovid C.",
""
]
] | Parity violation is a long standing problem in light-cone quantization. \REF\CPT{D. Soper, SLAC-REP-137, 1970, Chap. I . } \refend We propose a new quantization on the light-cone which treats both the $x^{+}$ and the $x^{-}$ coordinates as light-cone 'times.'This quantization respects both parity and time-reversal. We find that now both $P^{-}$ and $P^{+}$ become dynamical. |
hep-th/0606044 | Daniel Litim | Daniel F. Litim | On fixed points of quantum gravity | Long contribution, presented at 28th Spanish Relativity Meeting
(ERE05): A Century of Relativity Physics, Oviedo, Asturias, Spain, 6-10 Sep
2005 | null | 10.1063/1.2218188 | SHEP-0542, CERN-PH/TH-2005-256 | hep-th | null | We study the short distance behaviour of euclidean quantum gravity in the
light of Weinberg's asymptotic safety scenario. Implications of a non-trivial
ultraviolet fixed point are reviewed. Based on an optimised renormalisation
group, we provide analytical flow equations in the Einstein-Hilbert truncation.
A non-trivial ultraviolet fixed point is found for arbitrary dimension. We
discuss a bifurcation pattern in the spectrum of eigenvalues at criticality,
and the large dimensional limit of quantum gravity. Implications for quantum
gravity in higher dimensions are indicated.
| [
{
"created": "Tue, 6 Jun 2006 12:13:43 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Litim",
"Daniel F.",
""
]
] | We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we provide analytical flow equations in the Einstein-Hilbert truncation. A non-trivial ultraviolet fixed point is found for arbitrary dimension. We discuss a bifurcation pattern in the spectrum of eigenvalues at criticality, and the large dimensional limit of quantum gravity. Implications for quantum gravity in higher dimensions are indicated. |
1703.06588 | Pujian Mao | Pujian Mao, Hao Ouyang, Jun-Bao Wu, Xiaoning Wu | New electromagnetic memories and soft photon theorems | v2: interpretation improved and typos fixed, refs added | Phys. Rev. D 95, 125011 (2017) | 10.1103/PhysRevD.95.125011 | CJQS-2017-003 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present a new type of electromagnetic memory. It is a
`magnetic' type, or B mode, radiation memory effect. Rather than a residual
velocity, we find a position displacement of a charged particle induced by the
B mode radiation with memory. We find two types of electromagnetic displacement
(ordinary and null). We also show that the null electromagnetic memory formulas
are nothing but a Fourier transformation of soft photon theorems.
| [
{
"created": "Mon, 20 Mar 2017 04:02:22 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Jun 2017 07:12:50 GMT",
"version": "v2"
}
] | 2021-10-12 | [
[
"Mao",
"Pujian",
""
],
[
"Ouyang",
"Hao",
""
],
[
"Wu",
"Jun-Bao",
""
],
[
"Wu",
"Xiaoning",
""
]
] | In this paper, we present a new type of electromagnetic memory. It is a `magnetic' type, or B mode, radiation memory effect. Rather than a residual velocity, we find a position displacement of a charged particle induced by the B mode radiation with memory. We find two types of electromagnetic displacement (ordinary and null). We also show that the null electromagnetic memory formulas are nothing but a Fourier transformation of soft photon theorems. |
hep-th/0102169 | Ioan A. Popescu | Ioan A. Popescu and Alfred D. Shapere | BPS Equations, BPS States, and Central Charge of N=2 Supersymmetric
Gauge Theories | 47 pages, LaTeX, uses JHEP.cls, JHEP.bst, minor corrections | JHEP 0210 (2002) 033 | 10.1088/1126-6708/2002/10/033 | null | hep-th | null | We derive the central charge and BPS equations from the low-energy effective
action for N=2 SU(2) Yang-Mills theory in the Coulomb phase, using a
systematic, canonical procedure. We then obtain solutions for monopole and dyon
BPS states, whose core structure is described by a dual Lagrangian containing
the monopole or dyon as a fundamental field. Spherically symmetric states
possess a shell of charge at a characteristic radius.
| [
{
"created": "Sat, 24 Feb 2001 13:07:46 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Feb 2001 09:59:52 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Popescu",
"Ioan A.",
""
],
[
"Shapere",
"Alfred D.",
""
]
] | We derive the central charge and BPS equations from the low-energy effective action for N=2 SU(2) Yang-Mills theory in the Coulomb phase, using a systematic, canonical procedure. We then obtain solutions for monopole and dyon BPS states, whose core structure is described by a dual Lagrangian containing the monopole or dyon as a fundamental field. Spherically symmetric states possess a shell of charge at a characteristic radius. |
1202.4466 | Wan-Zhe Feng | Wan-Zhe Feng, Dieter Lust, Oliver Schlotterer | Massive Supermultiplets in Four-Dimensional Superstring Theory | 75 pages, 13 figures | Nucl.Phys. B861 (2012) 175-235 | 10.1016/j.nuclphysb.2012.03.010 | LMU-ASC 10/12, MPP-2012-11, AEI-2012-018 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the discussion of arXiv:1007.5254 on massive Regge excitations on
the first mass level of four-dimensional superstring theory. For the lightest
massive modes of the open string sector, universal supermultiplets common to
all four-dimensional compactifications with N = 1, 2 and N = 4 spacetime
supersymmetry are constructed respectively -- both their vertex operators and
their supersymmetry variations. Massive spinor helicity methods shed light on
the interplay between individual polarization states.
| [
{
"created": "Mon, 20 Feb 2012 21:09:30 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Mar 2012 03:58:19 GMT",
"version": "v2"
},
{
"created": "Sat, 28 Apr 2012 16:32:52 GMT",
"version": "v3"
}
] | 2013-10-08 | [
[
"Feng",
"Wan-Zhe",
""
],
[
"Lust",
"Dieter",
""
],
[
"Schlotterer",
"Oliver",
""
]
] | We extend the discussion of arXiv:1007.5254 on massive Regge excitations on the first mass level of four-dimensional superstring theory. For the lightest massive modes of the open string sector, universal supermultiplets common to all four-dimensional compactifications with N = 1, 2 and N = 4 spacetime supersymmetry are constructed respectively -- both their vertex operators and their supersymmetry variations. Massive spinor helicity methods shed light on the interplay between individual polarization states. |
1111.0950 | Louise Dolan | Louise Dolan, Peter Goddard | Complete Equivalence Between Gluon Tree Amplitudes in Twistor String
Theory and in Gauge Theory | 38 pages | JHEP 1206:030,2012 | 10.1007/JHEP06(2012)030 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gluon tree amplitudes of open twistor string theory, defined as contour
integrals over the ACCK link variables, are shown to satisfy the BCFW
relations, thus confirming that they coincide with the corresponding amplitudes
in gauge field theory. In this approach, the integration contours are specified
as encircling the zeros of certain constraint functions that force the
appropriate relation between the link variables and the twistor string
world-sheet variables. To do this, methods for calculating the tree amplitudes
using link variables are developed further including diagrammatic methods for
organizing and performing the calculations.
| [
{
"created": "Thu, 3 Nov 2011 19:12:40 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Dolan",
"Louise",
""
],
[
"Goddard",
"Peter",
""
]
] | The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that they coincide with the corresponding amplitudes in gauge field theory. In this approach, the integration contours are specified as encircling the zeros of certain constraint functions that force the appropriate relation between the link variables and the twistor string world-sheet variables. To do this, methods for calculating the tree amplitudes using link variables are developed further including diagrammatic methods for organizing and performing the calculations. |
hep-th/0207215 | Chernyak | V.L. Chernyak | On mixed phases in gauge theories | Latex, 19 pages; Talk given at "Continuous Advances in
QCD-2002/Arkadyfest", honoring the 60-th birthday of Arkady Vainshtein; 17-23
May 2002, University of Minneapolis, Minnesota, USA; v.3: the extended and
improved version | Nucl.Phys. B660 (2003) 116-130 | 10.1016/S0550-3213(03)00309-2 | null | hep-th hep-ph | null | In many gauge theories at different values of parameters entering Lagrangian,
the vacuum is dominated by coherent condensates of different mutually non-local
fields (for instance, by condensates of electric or magnetic charges, or by
various dyons). It is argued that the transition between these "dual to each
other" phases proceeds through the intermediate "mixed phase", having
qualitatively different features. The examples considered include: ordinary YM,
N=1 SYM, N=1 SQCD, and broken N=2 SYM and SQCD.
| [
{
"created": "Wed, 24 Jul 2002 08:22:19 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Aug 2002 07:29:02 GMT",
"version": "v2"
},
{
"created": "Wed, 9 Apr 2003 12:58:48 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Chernyak",
"V. L.",
""
]
] | In many gauge theories at different values of parameters entering Lagrangian, the vacuum is dominated by coherent condensates of different mutually non-local fields (for instance, by condensates of electric or magnetic charges, or by various dyons). It is argued that the transition between these "dual to each other" phases proceeds through the intermediate "mixed phase", having qualitatively different features. The examples considered include: ordinary YM, N=1 SYM, N=1 SQCD, and broken N=2 SYM and SQCD. |
2201.00950 | Fabricio Augusto Barone Rangel PhD | L.H.C. Borges, F.A. Barone | Features of planar Lee-Wick electrodynamics | 4 figures, 10 latex pages | Phys. Lett. B 824, 136759 (2022) | 10.1016/j.physletb.2021.136759 | null | hep-th cond-mat.other | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this letter we study some aspects of the planar Lee-Wick electrodynamics
near a perfectly conducting line (unidimensional mirror). Specifically, the
modified Lee-wick propagator due to the presence of a conducting line is
calculated, and the interaction between the mirror and the point-like charge is
investigated. It is shown that the behavior of this interaction is very
different from the one already known for the $(3+1)$-dimensional Lee-Wick
electrodynamics, where we have a planar mirror. It is also shown that the image
method is not valid in planar Lee-Wick electrodynamics and the dimensional
reduction yields a stronger taming of divergences.
| [
{
"created": "Tue, 4 Jan 2022 02:56:23 GMT",
"version": "v1"
}
] | 2022-01-05 | [
[
"Borges",
"L. H. C.",
""
],
[
"Barone",
"F. A.",
""
]
] | In this letter we study some aspects of the planar Lee-Wick electrodynamics near a perfectly conducting line (unidimensional mirror). Specifically, the modified Lee-wick propagator due to the presence of a conducting line is calculated, and the interaction between the mirror and the point-like charge is investigated. It is shown that the behavior of this interaction is very different from the one already known for the $(3+1)$-dimensional Lee-Wick electrodynamics, where we have a planar mirror. It is also shown that the image method is not valid in planar Lee-Wick electrodynamics and the dimensional reduction yields a stronger taming of divergences. |
0908.1788 | Sean A. Hartnoll | Frederik Denef, Sean A. Hartnoll and Subir Sachdev | Quantum oscillations and black hole ringing | 1+53 pages. 9 figures. v2: important changes to sections 3.4 - 3.6.
contribution of branch cut poles included | Physical Review D 80, 126016 (2009) | 10.1103/PhysRevD.80.126016 | null | hep-th cond-mat.str-el | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that strongly coupled field theories with holographic gravity duals
at finite charge density and low temperatures can undergo de Haas - van Alphen
quantum oscillations as a function of an external magnetic field. Exhibiting
this effect requires computation of the one loop contribution of charged bulk
fermions to the free energy. The one loop calculation is performed using a
formula expressing determinants in black hole backgrounds as sums over
quasinormal modes. At zero temperature, the periodic nonanalyticities in the
magnetic susceptibility as a function of the inverse magnetic field depend on
the low energy scaling behavior of fermionic operators in the field theory, and
are found to be softer than in weakly coupled theories. We also obtain
numerical and WKB results for the quasinormal modes of charged bosons in dyonic
black hole backgrounds, finding evidence for nontrivial periodic behavior as a
function of the magnetic field.
| [
{
"created": "Thu, 13 Aug 2009 15:10:48 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Aug 2009 15:23:07 GMT",
"version": "v2"
}
] | 2009-12-26 | [
[
"Denef",
"Frederik",
""
],
[
"Hartnoll",
"Sean A.",
""
],
[
"Sachdev",
"Subir",
""
]
] | We show that strongly coupled field theories with holographic gravity duals at finite charge density and low temperatures can undergo de Haas - van Alphen quantum oscillations as a function of an external magnetic field. Exhibiting this effect requires computation of the one loop contribution of charged bulk fermions to the free energy. The one loop calculation is performed using a formula expressing determinants in black hole backgrounds as sums over quasinormal modes. At zero temperature, the periodic nonanalyticities in the magnetic susceptibility as a function of the inverse magnetic field depend on the low energy scaling behavior of fermionic operators in the field theory, and are found to be softer than in weakly coupled theories. We also obtain numerical and WKB results for the quasinormal modes of charged bosons in dyonic black hole backgrounds, finding evidence for nontrivial periodic behavior as a function of the magnetic field. |
hep-th/0512272 | Marco Serone | Marco Serone and Michele Trapletti | A Note on T-duality in Heterotic String Theory | 13 pages; v2: one reference added, to appear in Phys. Lett. B | Phys.Lett.B637:331-337,2006 | 10.1016/j.physletb.2006.03.081 | SISSA-99/2005/EP; HD-THEP-05-27 | hep-th | null | We revisit the T-duality transformation rules in heterotic string theory,
pointing out that the chiral structure of the world-sheet leads to a
modification of the standard Buscher's transformation rules. The simplest
instance of such modifications arises for toroidal compactifications, which are
rederived by analyzing a bosonized version of the heterotic world-sheet
Lagrangian.
Our study indicates that the usual heterotic toroidal T-duality rules naively
extended to the curved case cannot be correct, leading in particular to an
incorrect Bianchi identity for the field strength H of the Kalb-Ramond field B.
We explicitly show this problem and provide a specific example of dual models
where we are able to get new T-duality rules which, contrary to the standard
ones, lead to a correct T-dual Bianchi identity for H to all orders in \alpha'.
| [
{
"created": "Wed, 21 Dec 2005 13:13:11 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2006 16:18:02 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Serone",
"Marco",
""
],
[
"Trapletti",
"Michele",
""
]
] | We revisit the T-duality transformation rules in heterotic string theory, pointing out that the chiral structure of the world-sheet leads to a modification of the standard Buscher's transformation rules. The simplest instance of such modifications arises for toroidal compactifications, which are rederived by analyzing a bosonized version of the heterotic world-sheet Lagrangian. Our study indicates that the usual heterotic toroidal T-duality rules naively extended to the curved case cannot be correct, leading in particular to an incorrect Bianchi identity for the field strength H of the Kalb-Ramond field B. We explicitly show this problem and provide a specific example of dual models where we are able to get new T-duality rules which, contrary to the standard ones, lead to a correct T-dual Bianchi identity for H to all orders in \alpha'. |
1411.7712 | Daniel Coumbe | D.N. Coumbe, J. Jurkiewicz | Evidence for Asymptotic Safety from Dimensional Reduction in Causal
Dynamical Triangulations | 21 pages, 8 figures, 4 tables. Typos corrected, 3 tables added.
Conclusions unchanged. Conforms with version published in JHEP | null | 10.1007/JHEP03(2015)151 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the spectral dimension for a nonperturbative lattice approach to
quantum gravity, known as causal dynamical triangulations (CDT), showing that
the dimension of spacetime smoothly decreases from approximately 4 on large
distance scales to approximately 3/2 on small distance scales. This novel
result may provide a possible resolution to a long-standing argument against
the asymptotic safety scenario. A method for determining the relative lattice
spacing within the physical phase of the CDT parameter space is also outlined,
which might prove useful when studying renormalization group flow in models of
lattice quantum gravity.
| [
{
"created": "Thu, 27 Nov 2014 22:20:30 GMT",
"version": "v1"
},
{
"created": "Mon, 20 Apr 2015 17:21:13 GMT",
"version": "v2"
}
] | 2015-04-21 | [
[
"Coumbe",
"D. N.",
""
],
[
"Jurkiewicz",
"J.",
""
]
] | We calculate the spectral dimension for a nonperturbative lattice approach to quantum gravity, known as causal dynamical triangulations (CDT), showing that the dimension of spacetime smoothly decreases from approximately 4 on large distance scales to approximately 3/2 on small distance scales. This novel result may provide a possible resolution to a long-standing argument against the asymptotic safety scenario. A method for determining the relative lattice spacing within the physical phase of the CDT parameter space is also outlined, which might prove useful when studying renormalization group flow in models of lattice quantum gravity. |
1510.02298 | Martin Cederwall | Martin Cederwall | Twistors and supertwistors for exceptional field theory | 14 pp. v2: minor changes | null | 10.1007/JHEP12(2015)123 | MITP/15-086 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | As a means of examining the section condition and its possible solutions and
relaxations, we perform twistor transforms related to versions of exceptional
field theory with Minkowski signature. The spinor parametrisation of the
momenta naturally solves simultaneously both the mass-shell condition and the
(weak) section condition. It is shown that the incidence relations for
multi-particle twistors force them to share a common section, but not to be
orthogonal. The supersymmetric extension contains additional scalar fermionic
variables shown to be kappa-symmetry invariants. We speculate on some
implications, among them a possible relation to higher spin theory.
| [
{
"created": "Thu, 8 Oct 2015 12:51:27 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Dec 2015 11:16:37 GMT",
"version": "v2"
}
] | 2016-01-27 | [
[
"Cederwall",
"Martin",
""
]
] | As a means of examining the section condition and its possible solutions and relaxations, we perform twistor transforms related to versions of exceptional field theory with Minkowski signature. The spinor parametrisation of the momenta naturally solves simultaneously both the mass-shell condition and the (weak) section condition. It is shown that the incidence relations for multi-particle twistors force them to share a common section, but not to be orthogonal. The supersymmetric extension contains additional scalar fermionic variables shown to be kappa-symmetry invariants. We speculate on some implications, among them a possible relation to higher spin theory. |
hep-th/9301101 | Domenico Giulini | Domenico Giulini | On the possibility of spinorial quantization in the Skyrme model | Plain-Tex, 9 pages, no figures, Freiburg THEP-92/33 | Mod. Phys. Lett. A8 (1993) 1917-1924 | 10.1142/S0217732393001641 | null | hep-th | null | We consider the configuration space of the Skyrme model and give a simple
proof that loops generated by full spatial rotations are contractible in the
even-, and non-contractible in the odd-winding-number sectors.
| [
{
"created": "Mon, 25 Jan 1993 18:21:53 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Giulini",
"Domenico",
""
]
] | We consider the configuration space of the Skyrme model and give a simple proof that loops generated by full spatial rotations are contractible in the even-, and non-contractible in the odd-winding-number sectors. |
hep-th/0401059 | Aleksandr Zheltukhin | D.V.Uvarov and A.A.Zheltukhin | Whether conformal supersymmetry is broken by quantum p-branes with
exotic supersymmetry? | Latex, 18 pages, no figures. Talk given at the International Workshop
"Supersymmetry and Quantum Symmetries SQS'03", July 2003, Dubna. V2: title
corrected, added new material in Sec. 6 and Conclusion, new references
included, typos corrected | null | null | null | hep-th | null | Classical and quantum symmetries of super $p$-branes preserving exotic 3/4
fraction of $N=1 D=4$ global supersymmetry are studied. Classical realization
of the algebra of global and world-volume symmetries is constructed and its
quantum generalizations are analyzed. Established is that the status of the
conformal supersymmetry $OSp(1|8)$ as a proper quantum symmetry of brane
depends both on the choice of its vacuum state and the associated ordering of
$\hat{\cal Q}$ and $\hat{\cal P}$ operators.
| [
{
"created": "Sat, 10 Jan 2004 16:58:56 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Feb 2004 20:52:54 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Uvarov",
"D. V.",
""
],
[
"Zheltukhin",
"A. A.",
""
]
] | Classical and quantum symmetries of super $p$-branes preserving exotic 3/4 fraction of $N=1 D=4$ global supersymmetry are studied. Classical realization of the algebra of global and world-volume symmetries is constructed and its quantum generalizations are analyzed. Established is that the status of the conformal supersymmetry $OSp(1|8)$ as a proper quantum symmetry of brane depends both on the choice of its vacuum state and the associated ordering of $\hat{\cal Q}$ and $\hat{\cal P}$ operators. |
hep-th/0103110 | Silvio Paolo Sorella | V.E.R. Lemes, M.S. Sarandy, S.P. Sorella, O.S. Ventura and L.C.Q.
Vilar | An Algebraic Criterion for the Ultraviolet Finiteness of Quantum Field
Theories | 1+32 pages, LaTeX2e, typos corrected | J.Phys.A34:9485-9506,2001 | 10.1088/0305-4470/34/44/310 | null | hep-th | null | An algebraic criterion for the vanishing of the beta function for
renormalizable quantum field theories is presented. Use is made of the descent
equations following from the Wess-Zumino consistency condition. In some cases,
these equations relate the fully quantized action to a local gauge invariant
polynomial. The vanishing of the anomalous dimension of this polynomial enables
us to establish a nonrenormalization theorem for the beta function $\beta_g$,
stating that if the one-loop order contribution vanishes, then $\beta_g$ will
vanish to all orders of perturbation theory. As a by-product, the special case
in which $\beta_g$ is only of one-loop order, without further corrections, is
also covered. The examples of the N=2,4 supersymmetric Yang-Mills theories are
worked out in detail.
| [
{
"created": "Wed, 14 Mar 2001 16:05:11 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Mar 2001 13:31:36 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Lemes",
"V. E. R.",
""
],
[
"Sarandy",
"M. S.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Ventura",
"O. S.",
""
],
[
"Vilar",
"L. C. Q.",
""
]
] | An algebraic criterion for the vanishing of the beta function for renormalizable quantum field theories is presented. Use is made of the descent equations following from the Wess-Zumino consistency condition. In some cases, these equations relate the fully quantized action to a local gauge invariant polynomial. The vanishing of the anomalous dimension of this polynomial enables us to establish a nonrenormalization theorem for the beta function $\beta_g$, stating that if the one-loop order contribution vanishes, then $\beta_g$ will vanish to all orders of perturbation theory. As a by-product, the special case in which $\beta_g$ is only of one-loop order, without further corrections, is also covered. The examples of the N=2,4 supersymmetric Yang-Mills theories are worked out in detail. |
hep-th/0610026 | Kang Sin Choi | Kang-Sin Choi | Intersecting Brane World from Type I Compactification | 31 pages, 5 figures | Int.J.Mod.Phys.A22:3169-3200,2007 | 10.1142/S0217751X07036786 | SNUTP-06-006 | hep-th | null | We elaborate that general intersecting brane models on orbifolds are obtained
from type I string compactifications and their T-duals. Symmetry breaking and
restoration occur via recombination and parallel separation of branes,
preserving supersymmetry. The Ramond-Ramond tadpole cancelation and the toron
quantization constrain the spectrum as a branching of the adjoints of SO(32),
up to orbifold projections. Since the recombination changes the gauge coupling,
the single gauge coupling of type I could give rise to different coupling below
the unification scale. This is due to the nonlocal properties of the
Dirac-Born-Infeld action. The weak mixing angle sin^2 theta_W = 3/8 is
naturally explained by embedding the quantum numbers to those of SO(10).
| [
{
"created": "Mon, 2 Oct 2006 17:49:27 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Choi",
"Kang-Sin",
""
]
] | We elaborate that general intersecting brane models on orbifolds are obtained from type I string compactifications and their T-duals. Symmetry breaking and restoration occur via recombination and parallel separation of branes, preserving supersymmetry. The Ramond-Ramond tadpole cancelation and the toron quantization constrain the spectrum as a branching of the adjoints of SO(32), up to orbifold projections. Since the recombination changes the gauge coupling, the single gauge coupling of type I could give rise to different coupling below the unification scale. This is due to the nonlocal properties of the Dirac-Born-Infeld action. The weak mixing angle sin^2 theta_W = 3/8 is naturally explained by embedding the quantum numbers to those of SO(10). |
2408.05549 | Calvin Y.-R. Chen | Calvin Y.-R. Chen, Claudia de Rham, and Andrew J. Tolley | Deformations of Extremal Black Holes and the UV | 33 pages + appendices, 2 figures | null | null | Imperial/TP/2024/CC/1 | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has recently been noted that deformations of extremal AdS black holes in
four and higher dimensions are generically non-smooth or singular on the
horizon. Further, it was found that certain deformations of asymptotically flat
extremal black holes are marginal, causing the nature of the horizon to be
strongly sensitive to UV corrections -- in particular, Wilson coefficients
associated with consistent UV completions generically lead to worse behaviour
on the horizon. In this work, we extend the discussion of deformed horizons in
the presence of UV corrections to extremal charged black holes in AdS where we
find a tower of marginal perturbations for different black hole masses. We
argue that the apparent UV sensitivity of marginal modes is, in fact, a feature
of the UV theory which is correctly reproduced by the EFT, and illustrate this
with explicit UV completions confirming the validity of the EFT. We demonstrate
that the same holds for a scalar-Maxwell EFT with known UV completion. In the
gravitational case, the sign of EFT corrections to marginal perturbations is
generally connected with the signs implied by positivity bounds, with UV
completions generically lead to worse behaviour on the horizon. We conjecture
that this result is more generic, and use this to derive more general
positivity bound motivated by the weak gravity conjecture, which we illustrate
with further evidence.
| [
{
"created": "Sat, 10 Aug 2024 13:15:02 GMT",
"version": "v1"
}
] | 2024-08-13 | [
[
"Chen",
"Calvin Y. -R.",
""
],
[
"de Rham",
"Claudia",
""
],
[
"Tolley",
"Andrew J.",
""
]
] | It has recently been noted that deformations of extremal AdS black holes in four and higher dimensions are generically non-smooth or singular on the horizon. Further, it was found that certain deformations of asymptotically flat extremal black holes are marginal, causing the nature of the horizon to be strongly sensitive to UV corrections -- in particular, Wilson coefficients associated with consistent UV completions generically lead to worse behaviour on the horizon. In this work, we extend the discussion of deformed horizons in the presence of UV corrections to extremal charged black holes in AdS where we find a tower of marginal perturbations for different black hole masses. We argue that the apparent UV sensitivity of marginal modes is, in fact, a feature of the UV theory which is correctly reproduced by the EFT, and illustrate this with explicit UV completions confirming the validity of the EFT. We demonstrate that the same holds for a scalar-Maxwell EFT with known UV completion. In the gravitational case, the sign of EFT corrections to marginal perturbations is generally connected with the signs implied by positivity bounds, with UV completions generically lead to worse behaviour on the horizon. We conjecture that this result is more generic, and use this to derive more general positivity bound motivated by the weak gravity conjecture, which we illustrate with further evidence. |
1804.02368 | Sakura Schafer-Nameki | Julius Eckhard, Sakura Schafer-Nameki, Jin-Mann Wong | An $\mathcal{N}=1$ 3d-3d Correspondence | 63 pages, 4 figures; v2: JHEP version | null | 10.1007/JHEP07(2018)052 | IPMU-18-0057 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | M5-branes on an associative three-cycle $M_3$ in a $G_2$-holonomy manifold
give rise to a 3d $\mathcal{N}=1$ supersymmetric gauge theory,
$T_{\mathcal{N}=1} [M_3]$. We propose an $\mathcal{N}=1$ 3d-3d correspondence,
based on two observables of these theories: the Witten index and the
$S^3$-partition function. The Witten index of a 3d $\mathcal{N}=1$ theory
$T_{\mathcal{N}=1} [M_3]$ is shown to be computed in terms of the partition
function of a topological field theory, a super-BF-model coupled to a spinorial
hypermultiplet (BFH), on $M_3$. The BFH-model localizes on solutions to a
generalized set of 3d Seiberg-Witten equations on $M_3$. Evidence to support
this correspondence is provided in the abelian case, as well as in terms of a
direct derivation of the topological field theory by twisted dimensional
reduction of the 6d $(2,0)$ theory. We also consider a correspondence for the
$S^3$-partition function of the $T_{\mathcal{N}=1} [M_3]$ theories, by
determining the dimensional reduction of the M5-brane theory on $S^3$. The
resulting topological theory is Chern-Simons-Dirac theory, for a gauge field
and a twisted harmonic spinor on $M_3$, whose equations of motion are the
generalized 3d Seiberg-Witten equations. For generic $G_2$-manifolds the theory
reduces to real Chern-Simons theory, in which case we conjecture that the
$S^3$-partition function of $T_{\mathcal{N}=1}[M_3]$ is given by the
Witten-Reshetikhin-Turaev invariant of $M_3$.
| [
{
"created": "Fri, 6 Apr 2018 17:38:06 GMT",
"version": "v1"
},
{
"created": "Thu, 1 Nov 2018 13:26:27 GMT",
"version": "v2"
}
] | 2018-11-02 | [
[
"Eckhard",
"Julius",
""
],
[
"Schafer-Nameki",
"Sakura",
""
],
[
"Wong",
"Jin-Mann",
""
]
] | M5-branes on an associative three-cycle $M_3$ in a $G_2$-holonomy manifold give rise to a 3d $\mathcal{N}=1$ supersymmetric gauge theory, $T_{\mathcal{N}=1} [M_3]$. We propose an $\mathcal{N}=1$ 3d-3d correspondence, based on two observables of these theories: the Witten index and the $S^3$-partition function. The Witten index of a 3d $\mathcal{N}=1$ theory $T_{\mathcal{N}=1} [M_3]$ is shown to be computed in terms of the partition function of a topological field theory, a super-BF-model coupled to a spinorial hypermultiplet (BFH), on $M_3$. The BFH-model localizes on solutions to a generalized set of 3d Seiberg-Witten equations on $M_3$. Evidence to support this correspondence is provided in the abelian case, as well as in terms of a direct derivation of the topological field theory by twisted dimensional reduction of the 6d $(2,0)$ theory. We also consider a correspondence for the $S^3$-partition function of the $T_{\mathcal{N}=1} [M_3]$ theories, by determining the dimensional reduction of the M5-brane theory on $S^3$. The resulting topological theory is Chern-Simons-Dirac theory, for a gauge field and a twisted harmonic spinor on $M_3$, whose equations of motion are the generalized 3d Seiberg-Witten equations. For generic $G_2$-manifolds the theory reduces to real Chern-Simons theory, in which case we conjecture that the $S^3$-partition function of $T_{\mathcal{N}=1}[M_3]$ is given by the Witten-Reshetikhin-Turaev invariant of $M_3$. |
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