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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/0112259 | Huan-Xiong Yang | Huan-Xiong Yang | Standard-like Model from D=4 Type IIB Orbifolds | null | null | null | null | hep-th | null | Based on the twisted R-R tadpole cancellation conditions at the singularities
of D=4 Type IIB orbifold $T^6/ Z_3$, we propose a new bottom-up approach to
embed standard model with three generations into string theory.
| [
{
"created": "Mon, 31 Dec 2001 03:09:48 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Yang",
"Huan-Xiong",
""
]
] | Based on the twisted R-R tadpole cancellation conditions at the singularities of D=4 Type IIB orbifold $T^6/ Z_3$, we propose a new bottom-up approach to embed standard model with three generations into string theory. |
1412.7222 | Masayoshi Nakamura | M. Nakamura | Unified Description of Quantum Mechanics on a Curved Space | 15 pages, 2 references added, some changes; in sect.3,4 | null | null | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Starting with the first-order singular Lagrangian, the problem of the
quantization of a dynamical system constrained to a submanifold embedded in the
higher-dimensional Euclidean space is investigated within the framework of
operatorial quantization formalism. Through the projection operator method
(POM) with the constraint star-products, it is shown that both of the
constraint quantum system with the usual constraint and that with the
derivative-type constraint are naturally constructed from one Lagarangian. It
is proved that the system with the usual constraint is the sub-system of that
with the derivative-type one. Furthermore, the quantization of the dynamical
system subject to both of the usual constraint and the derivative-type one is
investigated by the POM, and the quantum corrections in the resultant
Hamiltonians are discussed.
| [
{
"created": "Tue, 23 Dec 2014 00:30:55 GMT",
"version": "v1"
},
{
"created": "Mon, 23 Mar 2015 04:39:59 GMT",
"version": "v2"
},
{
"created": "Sat, 20 Jun 2015 01:56:39 GMT",
"version": "v3"
}
] | 2015-06-23 | [
[
"Nakamura",
"M.",
""
]
] | Starting with the first-order singular Lagrangian, the problem of the quantization of a dynamical system constrained to a submanifold embedded in the higher-dimensional Euclidean space is investigated within the framework of operatorial quantization formalism. Through the projection operator method (POM) with the constraint star-products, it is shown that both of the constraint quantum system with the usual constraint and that with the derivative-type constraint are naturally constructed from one Lagarangian. It is proved that the system with the usual constraint is the sub-system of that with the derivative-type one. Furthermore, the quantization of the dynamical system subject to both of the usual constraint and the derivative-type one is investigated by the POM, and the quantum corrections in the resultant Hamiltonians are discussed. |
2101.00596 | Sunil Sake | Upamanyu Moitra, Sunil Kumar Sake, Sandip P. Trivedi | Jackiw-Teitelboim Gravity in the Second Order Formalism | version 4, Minor revisions made and Typos corrected | null | 10.1007/JHEP10(2021)204 | TIFR/TH/20-53 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate the path integral for Jackiw-Teitelboim gravity in the second
order formalism working directly with the metric and the dilaton. We consider
the theory both in Anti-de Sitter(AdS) and de Sitter space(dS) and analyze the
path integral for the disk topology and the "double trumpet" topology with two
boundaries. We also consider its behavior in the presence of conformal matter.
In the dS case the path integral evaluates the wavefunction of the universe
which arises in the no-boundary proposal. In the asymptotic AdS or dS limit
without matter we get agreement with the first order formalism. More generally,
away from this limit, the path integral is more complicated due to the presence
of modes from the gravity-dilaton sector and also matter sector with short
wavelengths along the boundary that are smaller than the AdS or dS scales. In
the double trumpet case, for both AdS and dS, we find that bosonic matter gives
rise to a diverging contribution in the moduli space integral rendering the
path integral ill-defined. The divergence occurs when the size of the wormhole
neck vanishes and is related to the Casimir effect. For fermions this
divergence can be avoided by imposing suitable boundary conditions. In this
case, in dS space the resulting path integral gives a finite contribution for
two disconnected universes to be produced by quantum tunneling.
| [
{
"created": "Sun, 3 Jan 2021 09:53:44 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2021 17:26:53 GMT",
"version": "v2"
},
{
"created": "Sat, 15 May 2021 07:15:47 GMT",
"version": "v3"
},
{
"created": "Fri, 24 Sep 2021 09:45:17 GMT",
"version": "v4"
}
] | 2021-11-17 | [
[
"Moitra",
"Upamanyu",
""
],
[
"Sake",
"Sunil Kumar",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We formulate the path integral for Jackiw-Teitelboim gravity in the second order formalism working directly with the metric and the dilaton. We consider the theory both in Anti-de Sitter(AdS) and de Sitter space(dS) and analyze the path integral for the disk topology and the "double trumpet" topology with two boundaries. We also consider its behavior in the presence of conformal matter. In the dS case the path integral evaluates the wavefunction of the universe which arises in the no-boundary proposal. In the asymptotic AdS or dS limit without matter we get agreement with the first order formalism. More generally, away from this limit, the path integral is more complicated due to the presence of modes from the gravity-dilaton sector and also matter sector with short wavelengths along the boundary that are smaller than the AdS or dS scales. In the double trumpet case, for both AdS and dS, we find that bosonic matter gives rise to a diverging contribution in the moduli space integral rendering the path integral ill-defined. The divergence occurs when the size of the wormhole neck vanishes and is related to the Casimir effect. For fermions this divergence can be avoided by imposing suitable boundary conditions. In this case, in dS space the resulting path integral gives a finite contribution for two disconnected universes to be produced by quantum tunneling. |
hep-th/0003145 | Sangmin Lee | Youngjai Kiem, Sangmin Lee | UV/IR Mixing in Noncommutative Field Theory via Open String Loops | 15 pages, 3 eps figures; v2. An error in gauge boson amplitudes
corrected and now they are identical to the ones in hep-th/0003180 | Nucl.Phys.B586:303-314,2000 | 10.1016/S0550-3213(00)00430-2 | KIAS-P00013 | hep-th | null | We explicitly evaluate one-loop (annulus) planar and nonplanar open string
amplitudes in the presence of the background NS-NS two-form field. In the
decoupling limit of Seiberg and Witten, we find that the nonplanar string
amplitudes reproduce the UV/IR mixing of noncommutative field theories. In
particular, the investigation of the UV regime of the open string amplitudes
shows that certain IR closed string degrees of freedom survive the decoupling
limit as previously predicted from the noncommutative field theory analysis.
These degrees of freedom are responsible for the quadratic, linear and
logarithmic IR singularities when the D-branes embedded in space-time have the
codimension zero, one and two, respectively. The analysis is given for both
bosonic and supersymmetric open strings.
| [
{
"created": "Thu, 16 Mar 2000 19:31:07 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Mar 2000 22:53:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kiem",
"Youngjai",
""
],
[
"Lee",
"Sangmin",
""
]
] | We explicitly evaluate one-loop (annulus) planar and nonplanar open string amplitudes in the presence of the background NS-NS two-form field. In the decoupling limit of Seiberg and Witten, we find that the nonplanar string amplitudes reproduce the UV/IR mixing of noncommutative field theories. In particular, the investigation of the UV regime of the open string amplitudes shows that certain IR closed string degrees of freedom survive the decoupling limit as previously predicted from the noncommutative field theory analysis. These degrees of freedom are responsible for the quadratic, linear and logarithmic IR singularities when the D-branes embedded in space-time have the codimension zero, one and two, respectively. The analysis is given for both bosonic and supersymmetric open strings. |
hep-th/0007204 | Nikita Nekrassov | David J. Gross, Nikita A. Nekrasov | Dynamics of Strings in Noncommutative Gauge Theory | 30pp. ; v2. references added, a few typos corrected | JHEP 0010 (2000) 021 | 10.1088/1126-6708/2000/10/021 | PUPT-1945, ITEP-TH-39/00, NSF-ITP-00-71 | hep-th | null | We continue our study of solitons in noncommutative gauge theories and
present an extremely simple BPS solution of N=4 U(1) noncommutative gauge
theory in 4 dimensions, which describes N infinite D1 strings that pierce a D3
brane at various points, in the presence of a background B-field in the
Seiberg-Witten limit. We call this solution the N-fluxon. For N=1 we calculate
the complete spectrum of small fluctuations about the fluxon and find three
kinds of modes: the fluctuations of the superstring in 10 dimensions arising
from fundamental strings attached to the D1strings, the ordinary particles of
the gauge theory in 4 dimensions and a set of states with discrete spectrum,
localized at the intersection point--- corresponding to fundamental strings
stretched between the D1string and the D3 brane. We discuss the fluctuations
about theN-fluxon as well and derive explicit expressions for the amplitudes of
interactions between these various modes. We show that translations in
noncommutative gauge theories are equivalent to gauge transformations (plus a
constant shift of the gauge field) and discuss the implications for the
translational zeromodes of our solitons. We also find the dyonic versions of
N-fluxon, as well as of our previous string-monopole solution.
| [
{
"created": "Wed, 26 Jul 2000 02:57:35 GMT",
"version": "v1"
},
{
"created": "Sat, 9 Sep 2000 00:25:07 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Gross",
"David J.",
""
],
[
"Nekrasov",
"Nikita A.",
""
]
] | We continue our study of solitons in noncommutative gauge theories and present an extremely simple BPS solution of N=4 U(1) noncommutative gauge theory in 4 dimensions, which describes N infinite D1 strings that pierce a D3 brane at various points, in the presence of a background B-field in the Seiberg-Witten limit. We call this solution the N-fluxon. For N=1 we calculate the complete spectrum of small fluctuations about the fluxon and find three kinds of modes: the fluctuations of the superstring in 10 dimensions arising from fundamental strings attached to the D1strings, the ordinary particles of the gauge theory in 4 dimensions and a set of states with discrete spectrum, localized at the intersection point--- corresponding to fundamental strings stretched between the D1string and the D3 brane. We discuss the fluctuations about theN-fluxon as well and derive explicit expressions for the amplitudes of interactions between these various modes. We show that translations in noncommutative gauge theories are equivalent to gauge transformations (plus a constant shift of the gauge field) and discuss the implications for the translational zeromodes of our solitons. We also find the dyonic versions of N-fluxon, as well as of our previous string-monopole solution. |
hep-th/9603131 | Antti Niemi | Jussi Kalkkinen, Antti J. Niemi | Aspects of mass gap, confinement and N=2 structure in 4-D Yang-Mills
theory | 46 pages | null | null | UU-ITP 06/96 | hep-th hep-ph | null | We introduce new variables in four dimensional SU(N) Yang-Mills theory. These
variables emerge when we sum the path integral over classical solutions and
represent the summation as an integral over appropriate degrees of freedom. In
this way we get an effective field theory with SU(N)$\times$SU(N) gauge
symmetry. In the instanton approximation our effective theory has in addition a
N=2 supersymmetry, and when we sum over all possible solutions we find a
Parisi-Sourlas supersymmetry. These extra symmetries can then be broken
explicitly by a SU(N) invariant and power counting renormalizable mass term.
Our results suggest that the confinement mechanism which has been recently
identified in the N=2 supersymmetric Yang-Mills theory might also help to
understand color confinement in ordinary, pure Yang-Mills theory. In
particular, there appears to be an intimate relationship between the N=2
supersymmetry approach to confinement and the Parisi-Sourlas dimensional
reduction.
| [
{
"created": "Tue, 19 Mar 1996 14:08:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kalkkinen",
"Jussi",
""
],
[
"Niemi",
"Antti J.",
""
]
] | We introduce new variables in four dimensional SU(N) Yang-Mills theory. These variables emerge when we sum the path integral over classical solutions and represent the summation as an integral over appropriate degrees of freedom. In this way we get an effective field theory with SU(N)$\times$SU(N) gauge symmetry. In the instanton approximation our effective theory has in addition a N=2 supersymmetry, and when we sum over all possible solutions we find a Parisi-Sourlas supersymmetry. These extra symmetries can then be broken explicitly by a SU(N) invariant and power counting renormalizable mass term. Our results suggest that the confinement mechanism which has been recently identified in the N=2 supersymmetric Yang-Mills theory might also help to understand color confinement in ordinary, pure Yang-Mills theory. In particular, there appears to be an intimate relationship between the N=2 supersymmetry approach to confinement and the Parisi-Sourlas dimensional reduction. |
2207.08931 | Alexandre Homrich | Carlos Bercini, Vasco Goncalves, Alexandre Homrich and Pedro Vieira | Spinning Hexagons | 40 pages, 14 figures | null | 10.1007/JHEP09(2022)228 | null | hep-th nlin.SI | http://creativecommons.org/licenses/by/4.0/ | We reduce the computation of three point function of three spinning operators
with arbitrary polarizations to a statistical mechanics problem via the hexagon
formalism. The central building block of these correlation functions is the
hexagon partition function. We explore its analytic structure and use it to
generate perturbative data for spinning three point functions. For certain
polarizations and any coupling, we express the full asymptotic three point
function in determinant form. With the integrability approach established we
open the ground to study the large spin limit where dualities with null Wilson
loops and integrable pentagons must appear.
| [
{
"created": "Mon, 18 Jul 2022 20:37:59 GMT",
"version": "v1"
}
] | 2022-10-19 | [
[
"Bercini",
"Carlos",
""
],
[
"Goncalves",
"Vasco",
""
],
[
"Homrich",
"Alexandre",
""
],
[
"Vieira",
"Pedro",
""
]
] | We reduce the computation of three point function of three spinning operators with arbitrary polarizations to a statistical mechanics problem via the hexagon formalism. The central building block of these correlation functions is the hexagon partition function. We explore its analytic structure and use it to generate perturbative data for spinning three point functions. For certain polarizations and any coupling, we express the full asymptotic three point function in determinant form. With the integrability approach established we open the ground to study the large spin limit where dualities with null Wilson loops and integrable pentagons must appear. |
2101.07076 | Sayan K Pal | Partha Nandi, Sankarshan Sahu, Sayan Kumar Pal | A note on broken dilatation symmetry in planar noncommutative theory | Title modified, minor changes, To be published in Nucl. Phys. B | null | 10.1016/j.nuclphysb.2021.115511 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A study of a riveting connection between noncommutativity and the anomalous
dilatation (scale) symmetry is presented for a generalized quantum Hall system
due to time dilatation transformations. On using the "Peierls substitution"
scheme, it is shown that noncommutativity between spatial coordinates emerges
naturally at a large magnetic field limit. Thereafter, we derive a
path-integral action for the corresponding noncommutative quantum system and
discuss the equivalence between the considered noncommutative system and the
generalized Landau problem thus rendering an effective commmutative
description. By exploiting the path-integral method due to Fujikawa, we derive
an expression for the unintegrated scale or dilatation anomaly for the
generalized Landau system, wherein the anomalies are identified with Jacobian
factors arising from measure change under scale transformation and is
subsequently renormalised. In fact, we derive exact expressions of anomalous
Ward identities from which one may point out the existence of scale anomaly
which is a purely quantum effect induced from the noncommutative structure
between spatial coordinates.
| [
{
"created": "Mon, 18 Jan 2021 13:49:46 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2021 10:10:33 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Jul 2021 19:51:02 GMT",
"version": "v3"
}
] | 2021-08-25 | [
[
"Nandi",
"Partha",
""
],
[
"Sahu",
"Sankarshan",
""
],
[
"Pal",
"Sayan Kumar",
""
]
] | A study of a riveting connection between noncommutativity and the anomalous dilatation (scale) symmetry is presented for a generalized quantum Hall system due to time dilatation transformations. On using the "Peierls substitution" scheme, it is shown that noncommutativity between spatial coordinates emerges naturally at a large magnetic field limit. Thereafter, we derive a path-integral action for the corresponding noncommutative quantum system and discuss the equivalence between the considered noncommutative system and the generalized Landau problem thus rendering an effective commmutative description. By exploiting the path-integral method due to Fujikawa, we derive an expression for the unintegrated scale or dilatation anomaly for the generalized Landau system, wherein the anomalies are identified with Jacobian factors arising from measure change under scale transformation and is subsequently renormalised. In fact, we derive exact expressions of anomalous Ward identities from which one may point out the existence of scale anomaly which is a purely quantum effect induced from the noncommutative structure between spatial coordinates. |
1012.0268 | Alvaro de Souza Dutra | A. de Souza Dutra and R. A. C. Correa | Traveling solitons in Lorentz-violating systems | 11 pages, 3 figures | Phys.Rev.D83:105007,2011 | 10.1103/PhysRevD.83.105007 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we present a class of traveling solitons in Lorentz-violating
systems. In the case of Lorentz violating scenarios, it is usual to construct
static solitonic configurations. Here it is shown that it is possible to
construct some traveling solitons which, as it should be expected, can not be
mapped into a static configuration by means of Lorentz boosts due to its
explicit breaking. Furthermore, in the model studied, a complete set of
solutions is obtained. The solutions present a critical behavior controlled by
the choose of an arbitrary integration constant.
| [
{
"created": "Wed, 1 Dec 2010 18:31:02 GMT",
"version": "v1"
}
] | 2011-05-19 | [
[
"Dutra",
"A. de Souza",
""
],
[
"Correa",
"R. A. C.",
""
]
] | In this work we present a class of traveling solitons in Lorentz-violating systems. In the case of Lorentz violating scenarios, it is usual to construct static solitonic configurations. Here it is shown that it is possible to construct some traveling solitons which, as it should be expected, can not be mapped into a static configuration by means of Lorentz boosts due to its explicit breaking. Furthermore, in the model studied, a complete set of solutions is obtained. The solutions present a critical behavior controlled by the choose of an arbitrary integration constant. |
2004.10759 | Emil Have | Jan de Boer, Jelle Hartong, Emil Have, Niels A. Obers, Watse Sybesma | Non-Boost Invariant Fluid Dynamics | 35+4 pages, v2: updated to published version | SciPost Phys. 9, 018 (2020) | 10.21468/SciPostPhys.9.2.018 | EMPG-20-09, NORDITA 2020-028 | hep-th cond-mat.str-el physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider uncharged fluids without any boost symmetry on an arbitrary
curved background and classify all allowed transport coefficients up to first
order in derivatives. We assume rotational symmetry and we use the entropy
current formalism. The curved background geometry in the absence of boost
symmetry is called absolute or Aristotelian spacetime. We present a closed-form
expression for the energy-momentum tensor in Landau frame which splits into
three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a
non-hydrostatic non-dissipative part (4), where in parenthesis we have
indicated the number of allowed transport coefficients. The non-hydrostatic
non-dissipative transport coefficients can be thought of as the generalization
of coefficients that would vanish if we were to restrict to linearized
perturbations and impose the Onsager relations. For the two hydrostatic and the
four non-hydrostatic non-dissipative transport coefficients we present a
Lagrangian description. Finally when we impose scale invariance, thus
restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2
non-hydrostatic non-dissipative transport coefficients.
| [
{
"created": "Wed, 22 Apr 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Aug 2020 12:28:22 GMT",
"version": "v2"
}
] | 2020-08-27 | [
[
"de Boer",
"Jan",
""
],
[
"Hartong",
"Jelle",
""
],
[
"Have",
"Emil",
""
],
[
"Obers",
"Niels A.",
""
],
[
"Sybesma",
"Watse",
""
]
] | We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic non-dissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturbations and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients. |
0706.2410 | Wung-Hong Huang | Wung-Hong Huang | On the Supergravity Description of Wilson Loop in Non-commutative Dipole
Field Theory | Pages 12 and 13 are the very short version of ''Erratum to Phys.
Lett. B647 (2007) 519''. Pages 1-11 contain detailed calculations and
extended discussions | Phys. Lett. B 652 (2007) 388-389 | 10.1016/j.physletb.2007.07.020 | null | hep-th | null | The Wilson loop in the non-commutative dipole field theory is re-examined
within the framework of dual gravity description. In contrast to the previous
investigations, we let the dual string be moving along the deformed $S^5$ and
find the exact expression of the interquark potential. The potential shows a
Coulomb behavior at all distance and does not have a minimum distance between
quarks, which exhibits in the static configuration. After comparing the
potential of the static and moving configurations we find that while the dual
string is static at long distance it will transit to a moving configuration at
short distance. We also analyze an electric dipole system and find that it
shows a similar transition property. Finally, we mention the unsuitable
approximation made in the previous paper [hep-th/0701069] and find that the
interquark potential in a gauge theory with a non-constant non-commutativity
has a Coulomb behavior at all distance.
| [
{
"created": "Sat, 16 Jun 2007 10:27:14 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Aug 2007 03:14:02 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Huang",
"Wung-Hong",
""
]
] | The Wilson loop in the non-commutative dipole field theory is re-examined within the framework of dual gravity description. In contrast to the previous investigations, we let the dual string be moving along the deformed $S^5$ and find the exact expression of the interquark potential. The potential shows a Coulomb behavior at all distance and does not have a minimum distance between quarks, which exhibits in the static configuration. After comparing the potential of the static and moving configurations we find that while the dual string is static at long distance it will transit to a moving configuration at short distance. We also analyze an electric dipole system and find that it shows a similar transition property. Finally, we mention the unsuitable approximation made in the previous paper [hep-th/0701069] and find that the interquark potential in a gauge theory with a non-constant non-commutativity has a Coulomb behavior at all distance. |
2102.08160 | Simon Caron-Huot | Simon Caron-Huot and Yue-Zhou Li | Helicity basis for three-dimensional conformal field theory | 37+23 pages, 5 figures. Typos fixed, published version | null | 10.1007/JHEP06(2021)041 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Three-point correlators of spinning operators admit multiple tensor
structures compatible with conformal symmetry. For conserved currents in three
dimensions, we point out that helicity commutes with conformal transformations
and we use this to construct three-point structures which diagonalize helicity.
In this helicity basis, OPE data is found to be diagonal for mean-field
correlators of conserved currents and stress tensor. Furthermore, we use
Lorentzian inversion formula to obtain anomalous dimensions for conserved
currents at bulk tree-level order in holographic theories, which we compare
with corresponding flat-space gluon scattering amplitudes.
| [
{
"created": "Tue, 16 Feb 2021 14:02:25 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Jun 2021 17:56:35 GMT",
"version": "v2"
}
] | 2021-06-30 | [
[
"Caron-Huot",
"Simon",
""
],
[
"Li",
"Yue-Zhou",
""
]
] | Three-point correlators of spinning operators admit multiple tensor structures compatible with conformal symmetry. For conserved currents in three dimensions, we point out that helicity commutes with conformal transformations and we use this to construct three-point structures which diagonalize helicity. In this helicity basis, OPE data is found to be diagonal for mean-field correlators of conserved currents and stress tensor. Furthermore, we use Lorentzian inversion formula to obtain anomalous dimensions for conserved currents at bulk tree-level order in holographic theories, which we compare with corresponding flat-space gluon scattering amplitudes. |
2006.09777 | Chris Blair | David S. Berman, Chris D. A. Blair | The Geometry, Branes and Applications of Exceptional Field Theory | 157 pages (including refs), invited review for International Journal
of Modern Physics A, v2: refs added + typos fixed, v3: to match published
version | null | 10.1142/S0217751X20300148 | QMUL-PH-20-13 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is a review of exceptional field theory: a generalisation of
Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of
freedom of supergravity into a generalised or extended geometry, whose
additional coordinates may be viewed as conjugate to brane winding modes. This
unifies the maximal supergravities, treating their previously-hidden
exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits
of solutions simplify into single objects, that in many cases have simple
geometric interpretations, for instance as wave or monopole-type solutions. It
also provides a route to explore exotic or non-geometric aspects of M-theory,
such as exotic branes, U-folds, and more novel sorts of non-Riemannian spaces.
| [
{
"created": "Wed, 17 Jun 2020 11:02:28 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2020 17:29:12 GMT",
"version": "v2"
},
{
"created": "Wed, 14 Oct 2020 16:03:06 GMT",
"version": "v3"
}
] | 2020-11-18 | [
[
"Berman",
"David S.",
""
],
[
"Blair",
"Chris D. A.",
""
]
] | This is a review of exceptional field theory: a generalisation of Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates may be viewed as conjugate to brane winding modes. This unifies the maximal supergravities, treating their previously-hidden exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits of solutions simplify into single objects, that in many cases have simple geometric interpretations, for instance as wave or monopole-type solutions. It also provides a route to explore exotic or non-geometric aspects of M-theory, such as exotic branes, U-folds, and more novel sorts of non-Riemannian spaces. |
2005.13433 | Monica Pate | Elizabeth Himwich, Sruthi A. Narayanan, Monica Pate, Nisarga Paul, and
Andrew Strominger | The Soft $\mathcal{S}$-Matrix in Gravity | 11 pages, corrected error found after publication, reference updated | null | 10.1007/JHEP09(2020)129 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff
factorizes into hard and soft factors. The soft factor is universal and
contains all the IR and collinear divergences. Here we show, in a momentum
space basis, that the intricate expression for the soft factor is fully
reproduced by two boundary currents, which live on the celestial sphere. The
first of these is the supertranslation current, which generates spacetime
supertranslations. The second is its symplectic partner, the Goldstone current
for spontaneously broken supertranslations. The current algebra has an
off-diagonal level structure involving the gravitational cusp anomalous
dimension and the logarithm of the IR cutoff. It is further shown that the
gravitational memory effect is contained as an IR safe observable within the
soft $\mathcal{S}$-matrix.
| [
{
"created": "Wed, 27 May 2020 15:42:39 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2020 21:33:16 GMT",
"version": "v2"
}
] | 2020-12-16 | [
[
"Himwich",
"Elizabeth",
""
],
[
"Narayanan",
"Sruthi A.",
""
],
[
"Pate",
"Monica",
""
],
[
"Paul",
"Nisarga",
""
],
[
"Strominger",
"Andrew",
""
]
] | The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that the intricate expression for the soft factor is fully reproduced by two boundary currents, which live on the celestial sphere. The first of these is the supertranslation current, which generates spacetime supertranslations. The second is its symplectic partner, the Goldstone current for spontaneously broken supertranslations. The current algebra has an off-diagonal level structure involving the gravitational cusp anomalous dimension and the logarithm of the IR cutoff. It is further shown that the gravitational memory effect is contained as an IR safe observable within the soft $\mathcal{S}$-matrix. |
1411.1374 | Michael Lashkevich | Michael Lashkevich and Yaroslav Pugai | Form factors of descendant operators: Resonance identities in the
sinh-Gordon model | 17 pages; v2: misprints corrected | null | 10.1007/JHEP12(2014)112 | null | hep-th math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the space of local operators in the sinh-Gordon model in the
framework of the bootstrap form factor approach. Our final goal is to identify
the operators obtained by solving bootstrap equations with those defined in
terms of the Lagrangian field. Here we try to identify operators at some very
particular points, where the phenomenon of operator resonance takes place. The
operator resonance phenomenon being perturbative, nevertheless, results in
exact identities between some local operators. By applying an algebraic
approach developed earlier for form factors we derive an infinite set of
identities between particular descendant and exponential operators in the
sinh-Gordon theory, which generalize the quantum equation of motion. We
identify the corresponding descendant operators by comparing them with the
result of perturbation theory.
| [
{
"created": "Wed, 5 Nov 2014 19:43:26 GMT",
"version": "v1"
},
{
"created": "Fri, 12 Dec 2014 20:48:32 GMT",
"version": "v2"
}
] | 2015-06-23 | [
[
"Lashkevich",
"Michael",
""
],
[
"Pugai",
"Yaroslav",
""
]
] | We study the space of local operators in the sinh-Gordon model in the framework of the bootstrap form factor approach. Our final goal is to identify the operators obtained by solving bootstrap equations with those defined in terms of the Lagrangian field. Here we try to identify operators at some very particular points, where the phenomenon of operator resonance takes place. The operator resonance phenomenon being perturbative, nevertheless, results in exact identities between some local operators. By applying an algebraic approach developed earlier for form factors we derive an infinite set of identities between particular descendant and exponential operators in the sinh-Gordon theory, which generalize the quantum equation of motion. We identify the corresponding descendant operators by comparing them with the result of perturbation theory. |
1803.00050 | William Divine Linch III | Katrin Becker, Melanie Becker, Daniel Butter, and William D. Linch III | N=1 Supercurrents of Eleven-dimensional Supergravity | null | null | 10.1007/JHEP05(2018)128 | MI-TH-1877 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Eleven-dimensional supergravity can be formulated in superspaces locally of
the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace
and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The
eleven-dimensional 3-form and the stable 3-form on $Y$ define the lowest
component of a gauge superfield on $\mathbf X \times Y$ that is chiral as a
superfield on $\mathbf X$. This chiral field is part of a tensor hierarchy
giving rise to a superspace Chern-Simons action and its real field strength
defines a lifting of the Hitchin functional on $Y$ to the $G_2$ superspace
$\mathbf X\times Y$. These terms are those of lowest order in a superspace
Noether expansion in seven $N=1$ conformal gravitino superfields $\Psi$. In
this paper, we compute the $O(\Psi)$ action to all orders in the remaining
fields. The eleven-dimensional origin of the resulting non-linear structures is
parameterized by the choice of a complex spinor on $Y$ encoding the off-shell
4D $N=1$ subalgebra of the eleven-dimensional super-Poincare algebra.
| [
{
"created": "Wed, 28 Feb 2018 19:39:31 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Mar 2018 17:59:23 GMT",
"version": "v2"
}
] | 2018-07-04 | [
[
"Becker",
"Katrin",
""
],
[
"Becker",
"Melanie",
""
],
[
"Butter",
"Daniel",
""
],
[
"Linch",
"William D.",
"III"
]
] | Eleven-dimensional supergravity can be formulated in superspaces locally of the form $\mathbf X\times Y$ where $\mathbf X$ is 4D $N=1$ conformal superspace and $Y$ is an arbitrary 7-manifold admitting a $G_2$-structure. The eleven-dimensional 3-form and the stable 3-form on $Y$ define the lowest component of a gauge superfield on $\mathbf X \times Y$ that is chiral as a superfield on $\mathbf X$. This chiral field is part of a tensor hierarchy giving rise to a superspace Chern-Simons action and its real field strength defines a lifting of the Hitchin functional on $Y$ to the $G_2$ superspace $\mathbf X\times Y$. These terms are those of lowest order in a superspace Noether expansion in seven $N=1$ conformal gravitino superfields $\Psi$. In this paper, we compute the $O(\Psi)$ action to all orders in the remaining fields. The eleven-dimensional origin of the resulting non-linear structures is parameterized by the choice of a complex spinor on $Y$ encoding the off-shell 4D $N=1$ subalgebra of the eleven-dimensional super-Poincare algebra. |
hep-th/0407228 | Hrvoje Nikolic | H. Nikolic | Covariant canonical quantization of fields and Bohmian mechanics | 17 pages, revised, to appear in Eur. Phys. J. C | Eur.Phys.J.C42:365-374,2005 | 10.1140/epjc/s2005-02296-7 | null | hep-th gr-qc quant-ph | null | We propose a manifestly covariant canonical method of field quantization
based on the classical De Donder-Weyl covariant canonical formulation of field
theory. Owing to covariance, the space and time arguments of fields are treated
on an equal footing. To achieve both covariance and consistency with standard
noncovariant canonical quantization of fields in Minkowski spacetime, it is
necessary to adopt a covariant Bohmian formulation of quantum field theory. A
preferred foliation of spacetime emerges dynamically owing to a purely quantum
effect. The application to a simple time-reparametrization invariant system and
quantum gravity is discussed and compared with the conventional noncovariant
Wheeler-DeWitt approach.
| [
{
"created": "Tue, 27 Jul 2004 11:31:01 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Aug 2004 13:19:24 GMT",
"version": "v2"
},
{
"created": "Fri, 27 May 2005 12:28:18 GMT",
"version": "v3"
}
] | 2009-01-07 | [
[
"Nikolic",
"H.",
""
]
] | We propose a manifestly covariant canonical method of field quantization based on the classical De Donder-Weyl covariant canonical formulation of field theory. Owing to covariance, the space and time arguments of fields are treated on an equal footing. To achieve both covariance and consistency with standard noncovariant canonical quantization of fields in Minkowski spacetime, it is necessary to adopt a covariant Bohmian formulation of quantum field theory. A preferred foliation of spacetime emerges dynamically owing to a purely quantum effect. The application to a simple time-reparametrization invariant system and quantum gravity is discussed and compared with the conventional noncovariant Wheeler-DeWitt approach. |
2104.00019 | Leah Jenks | Stephon Alexander, Gregory Gabadadze, Leah Jenks, and Nicol\'as Yunes | The Chern-Simons Caps for Rotating Black Holes | Matches published version in PRD | Phys. Rev. D 104, 064033 (2021) | 10.1103/PhysRevD.104.064033 | null | hep-th astro-ph.HE gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the dynamical Chern-Simons gravity as an effective quantum field
theory, and discuss a broad range of its parameter space where the theory is
valid. Within that validity range, we show that slowly rotating black holes
acquire novel geometric structures due to the gravitational dynamical
Chern-Simons term. In particular, the rotating black hole solutions get endowed
with two, cap-like domains, emanating from the north and south poles in the
standard Boyer-Lindquist coordinates. The domains extend out to a distance that
is approximately a few percent of the black hole's size. The cap-like domains
have an unusual equation of state, pointing to non-standard dynamics within the
caps. In particular, the focusing condition for geodesics is violated in those
domains. This in turn implies that the Hawking-Penrose singularity theorem
cannot be straightforwardly applied to hypothetical probe matter placed within
the Chern-Simons caps.
| [
{
"created": "Wed, 31 Mar 2021 18:00:04 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jan 2022 18:27:57 GMT",
"version": "v2"
}
] | 2022-01-12 | [
[
"Alexander",
"Stephon",
""
],
[
"Gabadadze",
"Gregory",
""
],
[
"Jenks",
"Leah",
""
],
[
"Yunes",
"Nicolás",
""
]
] | We study the dynamical Chern-Simons gravity as an effective quantum field theory, and discuss a broad range of its parameter space where the theory is valid. Within that validity range, we show that slowly rotating black holes acquire novel geometric structures due to the gravitational dynamical Chern-Simons term. In particular, the rotating black hole solutions get endowed with two, cap-like domains, emanating from the north and south poles in the standard Boyer-Lindquist coordinates. The domains extend out to a distance that is approximately a few percent of the black hole's size. The cap-like domains have an unusual equation of state, pointing to non-standard dynamics within the caps. In particular, the focusing condition for geodesics is violated in those domains. This in turn implies that the Hawking-Penrose singularity theorem cannot be straightforwardly applied to hypothetical probe matter placed within the Chern-Simons caps. |
hep-th/9509157 | Douglas A. Singleton | Douglas Singleton | Does Magnetic Charge Imply a Massive Photon ? | 10 pages LaTeX | Int.J.Theor.Phys. 35 (1996) 2419-2426 | 10.1007/BF02085749 | null | hep-th | null | In Abelian theories of monopoles the magnetic charge is required to be
enormous. Using the electric-magnetic duality of electromagnetism it is argued
that the existence of such a large, non-perturbative magnetic coupling should
lead to a phase transition where magnetic charge is permanently confined and
the photon becomes massive. The apparent masslessness of the photon could then
be used as an argument against the existence of such a large, non-perturbative
magnetic charge. Finally it is shown that even in the presence of this
dynamical mass generation the Cabbibo-Ferrari formulation of magnetic charge
gives a consistent theory.
| [
{
"created": "Wed, 27 Sep 1995 15:25:47 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Singleton",
"Douglas",
""
]
] | In Abelian theories of monopoles the magnetic charge is required to be enormous. Using the electric-magnetic duality of electromagnetism it is argued that the existence of such a large, non-perturbative magnetic coupling should lead to a phase transition where magnetic charge is permanently confined and the photon becomes massive. The apparent masslessness of the photon could then be used as an argument against the existence of such a large, non-perturbative magnetic charge. Finally it is shown that even in the presence of this dynamical mass generation the Cabbibo-Ferrari formulation of magnetic charge gives a consistent theory. |
2008.00432 | Subir Mukhopadhyay | Subir Mukhopadhyay and Nishal Rai | Holographic Fermi surfaces in charge density wave from D2-D8 | 30 pages, 8 figures, LaTeX; One section added | null | 10.1007/JHEP09(2021)160 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | D2-D8 model admits a numerical solution that corresponds to a charge density
wave and a spin density wave. Considering that as the background, we
numerically solve the Dirac equation for probe fermions. From the solution, we
obtain the Green's function and study the behaviour of the spectral density. We
begin with generic fermions and have studied the formation of the Fermi surface
and where it develops a gap. In addition, we have incorporated an ionic lattice
and study its effect on the Fermi surface. Then we analysed the worldvolume
fermions. In this particular model we do not find Fermi surface for the dual
operators.
| [
{
"created": "Sun, 2 Aug 2020 08:11:10 GMT",
"version": "v1"
},
{
"created": "Sun, 16 May 2021 13:53:50 GMT",
"version": "v2"
}
] | 2021-10-13 | [
[
"Mukhopadhyay",
"Subir",
""
],
[
"Rai",
"Nishal",
""
]
] | D2-D8 model admits a numerical solution that corresponds to a charge density wave and a spin density wave. Considering that as the background, we numerically solve the Dirac equation for probe fermions. From the solution, we obtain the Green's function and study the behaviour of the spectral density. We begin with generic fermions and have studied the formation of the Fermi surface and where it develops a gap. In addition, we have incorporated an ionic lattice and study its effect on the Fermi surface. Then we analysed the worldvolume fermions. In this particular model we do not find Fermi surface for the dual operators. |
hep-th/9809052 | Jose Luis Miramontes | J. Luis Miramontes | Tau-Functions generating the Conservation Laws for Generalized
Integrable Hierarchies of KdV and Affine-Toda type | 47 pages, plain TeX with AMS fonts, no figures | Nucl.Phys. B547 (1999) 623-663 | 10.1016/S0550-3213(99)00066-8 | US-FT/4-98 | hep-th nlin.SI solv-int | null | For a class of generalized integrable hierarchies associated with affine
(twisted or untwisted) Kac-Moody algebras, an explicit representation of their
local conserved densities by means of a single scalar tau-function is deduced.
This tau-function acts as a partition function for the conserved densities,
which fits its potential interpretation as the effective action of some quantum
system. The class consists of multi-component generalizations of the
Drinfel'd-Sokolov and the two-dimensional affine Toda lattice hierarchies. The
relationship between the former and the approach of Feigin, Frenkel and
Enriquez to soliton equations of KdV and mKdV type is also discussed. These
results considerably simplify the calculation of the conserved charges carried
by the soliton solutions to the equations of the hierarchy, which is important
to establish their interpretation as particles. By way of illustration, we
calculate the charges carried by a set of constrained KP solitons recently
constructed.
| [
{
"created": "Tue, 8 Sep 1998 16:45:32 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Miramontes",
"J. Luis",
""
]
] | For a class of generalized integrable hierarchies associated with affine (twisted or untwisted) Kac-Moody algebras, an explicit representation of their local conserved densities by means of a single scalar tau-function is deduced. This tau-function acts as a partition function for the conserved densities, which fits its potential interpretation as the effective action of some quantum system. The class consists of multi-component generalizations of the Drinfel'd-Sokolov and the two-dimensional affine Toda lattice hierarchies. The relationship between the former and the approach of Feigin, Frenkel and Enriquez to soliton equations of KdV and mKdV type is also discussed. These results considerably simplify the calculation of the conserved charges carried by the soliton solutions to the equations of the hierarchy, which is important to establish their interpretation as particles. By way of illustration, we calculate the charges carried by a set of constrained KP solitons recently constructed. |
hep-th/9409111 | Paula Bozzay | Edward Witten | Is Supersymmetry Really Broken? | 3 pages | Int.J.Mod.Phys.A10:1247-1248,1995 | 10.1142/S0217751X95000590 | IASSNS-HEP-94-72 | hep-th | null | In 2 + 1 dimensions, in the presence of gravity, supersymmetry can ensure the
vanishing of the cosmological constant without requiring the equality of bose
and fermi masses.
| [
{
"created": "Mon, 19 Sep 1994 19:52:29 GMT",
"version": "v1"
}
] | 2010-04-07 | [
[
"Witten",
"Edward",
""
]
] | In 2 + 1 dimensions, in the presence of gravity, supersymmetry can ensure the vanishing of the cosmological constant without requiring the equality of bose and fermi masses. |
hep-th/0204191 | Hongsu Kim | Hongsu Kim | Supergravity Approach to Tachyon Potential in Brane-Antibrane Systems | 26 pages, 2 eps figures, Corrected reference, To appear in JHEP | JHEP 0301 (2003) 080 | 10.1088/1126-6708/2003/01/080 | null | hep-th | null | Using an exact supergravity solution representing the Dp-\bar{Dp} system, it
is demonstrated that one can construct a supergravity analogue of the tachyon
potential. Remarkably, the (regularized) minimum value of the potential turns
out to be V(T_{0})=-2m with m denoting the ADM mass of a single Dp-brane. This
result, in a sense, appears to confirm that Sen's conjecture for the tachyon
condensation on unstable D-branes is indeed correct although the analysis used
here is semi-classical in nature and hence should be taken with some care. Also
shown is the fact that the tachyon mass squared m^2_{T} (which has started out
as being negative) can actually become positive definite and large as the
tachyon rolls down toward the minimum of its potential. It indeed signals the
possibility of successful condensation of the tachyon since it shows that near
the minimum of its potential, tachyon can become heavy enough to disappear from
the massless spectrum. Some cosmological implications of this tachyon potential
in the context of ``rolling tachyons'' is also discussed.
| [
{
"created": "Tue, 23 Apr 2002 11:30:36 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Oct 2002 06:01:21 GMT",
"version": "v2"
},
{
"created": "Thu, 30 Jan 2003 06:23:19 GMT",
"version": "v3"
}
] | 2009-11-07 | [
[
"Kim",
"Hongsu",
""
]
] | Using an exact supergravity solution representing the Dp-\bar{Dp} system, it is demonstrated that one can construct a supergravity analogue of the tachyon potential. Remarkably, the (regularized) minimum value of the potential turns out to be V(T_{0})=-2m with m denoting the ADM mass of a single Dp-brane. This result, in a sense, appears to confirm that Sen's conjecture for the tachyon condensation on unstable D-branes is indeed correct although the analysis used here is semi-classical in nature and hence should be taken with some care. Also shown is the fact that the tachyon mass squared m^2_{T} (which has started out as being negative) can actually become positive definite and large as the tachyon rolls down toward the minimum of its potential. It indeed signals the possibility of successful condensation of the tachyon since it shows that near the minimum of its potential, tachyon can become heavy enough to disappear from the massless spectrum. Some cosmological implications of this tachyon potential in the context of ``rolling tachyons'' is also discussed. |
hep-th/0304111 | Valter Moretti | V. Moretti, N. Pinamonti (Trento U.) | Holography and $SL(2,\bR)$ symmetry in 2D Rindler spacetime | Title changed, further minor changes, references added, accepted for
publication in J. Math. Phys | J.Math.Phys. 45 (2004) 230 | 10.1063/1.1626271 | UTF 451/UTM 640 | hep-th gr-qc math-ph math.MP | null | It is shown that it is possible to define quantum field theory of a massless
scalar free field on the Killing horizon of a 2D-Rindler spacetime. Free
quantum field theory on the horizon enjoys diffeomorphism invariance and turns
out to be unitarily and algebraically equivalent to the analogous theory of a
scalar field propagating inside Rindler spacetime, nomatter the value of the
mass of the field in the bulk. More precisely, there exists a unitary
transformation that realizes the bulk-boundary correspondence under an
appropriate choice for Fock representation spaces. Secondly, the found
correspondence is a subcase of an analogous algebraic correspondence described
by injective *-homomorphisms of the abstract algebras of observables generated
by abstract quantum free-field operators. These field operators are smeared
with suitable test functions in the bulk and exact 1-forms on the horizon. In
this sense the correspondence is independent from the chosen vacua. It is
proven that, under that correspondence the ``hidden'' $SL(2,\bR)$ quantum
symmetry found in a previous work gets a clear geometric meaning, it being
associated with a group of diffeomorphisms of the horizon itself.
| [
{
"created": "Fri, 11 Apr 2003 14:13:36 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Apr 2003 15:23:23 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Sep 2003 09:44:51 GMT",
"version": "v3"
}
] | 2015-06-26 | [
[
"Moretti",
"V.",
"",
"Trento U."
],
[
"Pinamonti",
"N.",
"",
"Trento U."
]
] | It is shown that it is possible to define quantum field theory of a massless scalar free field on the Killing horizon of a 2D-Rindler spacetime. Free quantum field theory on the horizon enjoys diffeomorphism invariance and turns out to be unitarily and algebraically equivalent to the analogous theory of a scalar field propagating inside Rindler spacetime, nomatter the value of the mass of the field in the bulk. More precisely, there exists a unitary transformation that realizes the bulk-boundary correspondence under an appropriate choice for Fock representation spaces. Secondly, the found correspondence is a subcase of an analogous algebraic correspondence described by injective *-homomorphisms of the abstract algebras of observables generated by abstract quantum free-field operators. These field operators are smeared with suitable test functions in the bulk and exact 1-forms on the horizon. In this sense the correspondence is independent from the chosen vacua. It is proven that, under that correspondence the ``hidden'' $SL(2,\bR)$ quantum symmetry found in a previous work gets a clear geometric meaning, it being associated with a group of diffeomorphisms of the horizon itself. |
hep-th/0702008 | Nora Breton | Nora Breton and Ricardo Garcia-Salcedo (Centro de Investigacion y de
Estudios Avanzados (Cinvestav), Mexico) | Nonlinear Electrodynamics and black holes | 22 pages, 5 figures; Contributed chapter to book on nonlinear
electrodynamics edited by CBPF (Brazil) | null | null | null | hep-th | null | It is addressed the issue of black holes with nonlinear electromagnetic
field, focussing mainly in the Born-Infeld case. The main features of these
systems are described, for instance, geodesics, energy conditions,
thermodynamics and isolated horizon aspects. Also are revised some black hole
solutions of alternative nonlinear electrodynamics and its inconveniences.
| [
{
"created": "Thu, 1 Feb 2007 15:29:28 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Breton",
"Nora",
"",
"Centro de Investigacion y de\n Estudios Avanzados"
],
[
"Garcia-Salcedo",
"Ricardo",
"",
"Centro de Investigacion y de\n Estudios Avanzados"
]
] | It is addressed the issue of black holes with nonlinear electromagnetic field, focussing mainly in the Born-Infeld case. The main features of these systems are described, for instance, geodesics, energy conditions, thermodynamics and isolated horizon aspects. Also are revised some black hole solutions of alternative nonlinear electrodynamics and its inconveniences. |
2303.16719 | Jonas Peter Wessely | Jan Horak, Friederike Ihssen, Jan M. Pawlowski, Jonas Wessely, Nicolas
Wink | Scalar spectral functions from the spectral fRG | 22 pages, 13 figures | null | null | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in
three spacetime dimensions via the spectral functional renormalisation group.
This approach allows for the direct, manifestly Lorentz covariant computation
of correlation functions in Minkowski spacetime, including a physical on-shell
renormalisation. We present numerical results for the spectral functions of the
two- and four-point correlation functions for different values of the coupling
parameter. These results agree very well with those obtained from another
functional real-time approach, the spectral Dyson-Schwinger equation.
| [
{
"created": "Wed, 29 Mar 2023 14:16:21 GMT",
"version": "v1"
}
] | 2023-03-30 | [
[
"Horak",
"Jan",
""
],
[
"Ihssen",
"Friederike",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Wessely",
"Jonas",
""
],
[
"Wink",
"Nicolas",
""
]
] | We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of correlation functions in Minkowski spacetime, including a physical on-shell renormalisation. We present numerical results for the spectral functions of the two- and four-point correlation functions for different values of the coupling parameter. These results agree very well with those obtained from another functional real-time approach, the spectral Dyson-Schwinger equation. |
1107.3353 | Anirban Basu | Anirban Basu | Supersymmetry constraints on the R^4 multiplet in type IIB on T^2 | 89 pages, LaTeX | null | 10.1088/0264-9381/28/22/225018 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a class of eight derivative interactions in the effective action
of type IIB string theory compactified on T^2. These 1/2 BPS interactions have
moduli dependent couplings. We impose the constraints of supersymmetry to show
that each of these couplings satisfy a first order differential equation on
moduli space which relate it to other couplings in the same supermuliplet.
These equations can be iterated to give second order differential equations for
the various couplings. The couplings which only depend on the SO(2)\SL(2,R)
moduli satisfy Laplace equation on moduli space, and are given by modular forms
of SL(2,Z). On the other hand, the ones that only depend on the SO(3)\SL(3,R)
moduli satisfy Poisson equation on moduli space, where the source terms are
given by other couplings in the same supermultiplet. The couplings of the
interactions which are charged under SU(2) are not automorphic forms of
SL(3,Z). Among the interactions we consider, the R^4 coupling depends on all
the moduli.
| [
{
"created": "Mon, 18 Jul 2011 04:39:31 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Jul 2011 10:35:59 GMT",
"version": "v2"
}
] | 2015-05-28 | [
[
"Basu",
"Anirban",
""
]
] | We consider a class of eight derivative interactions in the effective action of type IIB string theory compactified on T^2. These 1/2 BPS interactions have moduli dependent couplings. We impose the constraints of supersymmetry to show that each of these couplings satisfy a first order differential equation on moduli space which relate it to other couplings in the same supermuliplet. These equations can be iterated to give second order differential equations for the various couplings. The couplings which only depend on the SO(2)\SL(2,R) moduli satisfy Laplace equation on moduli space, and are given by modular forms of SL(2,Z). On the other hand, the ones that only depend on the SO(3)\SL(3,R) moduli satisfy Poisson equation on moduli space, where the source terms are given by other couplings in the same supermultiplet. The couplings of the interactions which are charged under SU(2) are not automorphic forms of SL(3,Z). Among the interactions we consider, the R^4 coupling depends on all the moduli. |
hep-th/9906182 | Herman Verlinde | Herman Verlinde (Princeton University, University of Amsterdam) | Holography and Compactification | 11 pages, 1 figure | Nucl.Phys. B580 (2000) 264-274 | 10.1016/S0550-3213(00)00224-8 | PUPT-1872, ITFA-99-14 | hep-th hep-ph | null | Following a recent suggestion by Randall and Sundrum, we consider string
compactification scenarios in which a compact slice of AdS-space arises as a
subspace of the compactification manifold. A specific example is provided by
the type II orientifold equivalent to type I theory on (orbifolds of) $T^6$,
upon taking into account the gravitational backreaction of the D3-branes
localized inside the $T^6$. The conformal factor of the four-dimensional metric
depends exponentially on one of the compact directions, which, via the
holographic correspondence, becomes identified with the renormalization group
scale in the uncompactified world. This set-up can be viewed as a
generalization of the AdS/CFT correspondence to boundary theories that include
gravitational dynamics. A striking consequence is that, in this scenario, the
fundamental Planck size string and the large N QCD string appear as (two
different wavefunctions of) one and the same object.
| [
{
"created": "Thu, 24 Jun 1999 20:45:29 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Verlinde",
"Herman",
"",
"Princeton University, University of Amsterdam"
]
] | Following a recent suggestion by Randall and Sundrum, we consider string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold. A specific example is provided by the type II orientifold equivalent to type I theory on (orbifolds of) $T^6$, upon taking into account the gravitational backreaction of the D3-branes localized inside the $T^6$. The conformal factor of the four-dimensional metric depends exponentially on one of the compact directions, which, via the holographic correspondence, becomes identified with the renormalization group scale in the uncompactified world. This set-up can be viewed as a generalization of the AdS/CFT correspondence to boundary theories that include gravitational dynamics. A striking consequence is that, in this scenario, the fundamental Planck size string and the large N QCD string appear as (two different wavefunctions of) one and the same object. |
hep-th/0305096 | Steven Corley | Steven Corley | Notes on anomalies, baryons, and Seiberg duality | 16 pages | null | null | BROWN-HET-1353 | hep-th | null | We consider an N=1 SU(N_c) SUSY gauge theory with N_f \geq N_c matter
multiplets transforming in the fundamental and antifundamental representations
of the gauge group. Using the Konishi anomaly and a non-anomalous conservation
law, we derive a system of partial differential equations that determine the
low energy effective superpotential as a function of the mesonic and baryonic
vacuum expectation values. We apply the formalism to the cases of N_f = N_c and
N_f = N_c +1 where the equations are easily integrated and recover the known
results. We further apply the formalism to derive a system of partial
differential equations to determine the low energy effective superpotential for
the Seiberg dual theories. Finally we briefly discuss the associated matrix
models via the Dijkgraaf-Vafa conjecture.
| [
{
"created": "Mon, 12 May 2003 17:33:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Corley",
"Steven",
""
]
] | We consider an N=1 SU(N_c) SUSY gauge theory with N_f \geq N_c matter multiplets transforming in the fundamental and antifundamental representations of the gauge group. Using the Konishi anomaly and a non-anomalous conservation law, we derive a system of partial differential equations that determine the low energy effective superpotential as a function of the mesonic and baryonic vacuum expectation values. We apply the formalism to the cases of N_f = N_c and N_f = N_c +1 where the equations are easily integrated and recover the known results. We further apply the formalism to derive a system of partial differential equations to determine the low energy effective superpotential for the Seiberg dual theories. Finally we briefly discuss the associated matrix models via the Dijkgraaf-Vafa conjecture. |
hep-th/0506203 | Pallab Basu | Pallab Basu, Spenta R. Wadia | R-charged AdS_{5} black holes and large N unitary matrix models | 24 pages, 5 figures | Phys.Rev. D73 (2006) 045022 | 10.1103/PhysRevD.73.045022 | TIFR/TH/05-24 | hep-th gr-qc | null | Using the AdS/CFT, we establish a correspondence between the intricate
thermal phases of R-charged AdS_{5} blackholes and the R-charge sector of the
N=4 gauge theory, in the large N limit. Integrating out all fields in the gauge
theory except the thermal Polyakov line, leads to an effective unitary matrix
model. In the canonical ensemble, a logarithmic term is generated in the
non-zero charge sector of the matrix model. This term is important to discuss
various supergravity properties like i) the non-existence of thermal AdS as a
solution, ii) the existence of a point of cusp catastrophe in the phase diagram
and iii) the matching of saddle points and the critical exponents of
supergravity and those of the effective matrix model.
| [
{
"created": "Thu, 23 Jun 2005 23:37:56 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jul 2005 04:25:46 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Basu",
"Pallab",
""
],
[
"Wadia",
"Spenta R.",
""
]
] | Using the AdS/CFT, we establish a correspondence between the intricate thermal phases of R-charged AdS_{5} blackholes and the R-charge sector of the N=4 gauge theory, in the large N limit. Integrating out all fields in the gauge theory except the thermal Polyakov line, leads to an effective unitary matrix model. In the canonical ensemble, a logarithmic term is generated in the non-zero charge sector of the matrix model. This term is important to discuss various supergravity properties like i) the non-existence of thermal AdS as a solution, ii) the existence of a point of cusp catastrophe in the phase diagram and iii) the matching of saddle points and the critical exponents of supergravity and those of the effective matrix model. |
1507.02514 | Peng Liu | Yi Ling, Peng Liu, Chao Niu, Jian-Pin Wu | Building a doped Mott system by holography | 14 pages, 6 figures | Phys. Rev. D 92, 086003 (2015) | 10.1103/PhysRevD.92.086003 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a holographic model in the framework of Q-lattices whose dual
exhibits metal-insulator transitions. By introducing an interacting term
between the Q-lattice and the electromagnetic field in bulk geometry, we find
such kind of transition can be Mott-like. The evidences are presented as
follows. i) The transition from a metallic phase to an insulating phase occurs
when the lattice constant becomes larger. ii) A hard gap in the insulating
phase can be manifestly observed in the optical conductivity. Nevertheless, in
the zero temperature limit this model exhibits novel metallic behavior,
featured by a gap as well as a zero-frequency mode with tiny spectral weight.
It implies that our model is dual to a doped Mott system in one dimension where
umklapp scattering is frozen at zero temperature. The similarity between this
model and some organic linear chain conductors is briefly discussed.
| [
{
"created": "Thu, 9 Jul 2015 14:10:47 GMT",
"version": "v1"
},
{
"created": "Sat, 18 Jul 2015 03:46:48 GMT",
"version": "v2"
},
{
"created": "Fri, 23 Oct 2015 11:49:44 GMT",
"version": "v3"
}
] | 2015-10-26 | [
[
"Ling",
"Yi",
""
],
[
"Liu",
"Peng",
""
],
[
"Niu",
"Chao",
""
],
[
"Wu",
"Jian-Pin",
""
]
] | We construct a holographic model in the framework of Q-lattices whose dual exhibits metal-insulator transitions. By introducing an interacting term between the Q-lattice and the electromagnetic field in bulk geometry, we find such kind of transition can be Mott-like. The evidences are presented as follows. i) The transition from a metallic phase to an insulating phase occurs when the lattice constant becomes larger. ii) A hard gap in the insulating phase can be manifestly observed in the optical conductivity. Nevertheless, in the zero temperature limit this model exhibits novel metallic behavior, featured by a gap as well as a zero-frequency mode with tiny spectral weight. It implies that our model is dual to a doped Mott system in one dimension where umklapp scattering is frozen at zero temperature. The similarity between this model and some organic linear chain conductors is briefly discussed. |
hep-th/0003129 | Adel Bilal | Adel Bilal and Chong-Sun Chu (Neuchatel University) | Testing the AdS/CFT correspondence beyond large N | LaTex, 8 pages, no figures, Contribution to the proceedings of the
TMR Conference on Quantum Aspects of Gauge Theories, Supersymmetry and
Unification, Paris, 1-7 September 1999 | null | null | NEIP-00-006 | hep-th | null | According to the AdS/CFT correspondence, the maximally supersymmetric SU(N)
Yang-Mills theory in 4 dimensions is dual to the type IIB string theory
compactified on AdS_5 x S^5. Most of the tests performed so far are confined to
the leading order at large N or equivalently string tree-level. To probe the
correspondence beyond this leading order and obtain 1/N^2 corrections is
difficult since string one-loop computations on an AdS_5 x S^5 background
generally are beyond feasibility. However, we will show that the chiral SU(4)_R
anomaly of the super YM theory provides an ideal testing ground to go beyond
leading order in N. We review and develop further our previous results that the
1/N^2 corrections to the chiral anomaly on the super YM side can be exactly
accounted for by the supergravity/string effective action induced at one loop.
| [
{
"created": "Wed, 15 Mar 2000 17:27:44 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bilal",
"Adel",
"",
"Neuchatel University"
],
[
"Chu",
"Chong-Sun",
"",
"Neuchatel University"
]
] | According to the AdS/CFT correspondence, the maximally supersymmetric SU(N) Yang-Mills theory in 4 dimensions is dual to the type IIB string theory compactified on AdS_5 x S^5. Most of the tests performed so far are confined to the leading order at large N or equivalently string tree-level. To probe the correspondence beyond this leading order and obtain 1/N^2 corrections is difficult since string one-loop computations on an AdS_5 x S^5 background generally are beyond feasibility. However, we will show that the chiral SU(4)_R anomaly of the super YM theory provides an ideal testing ground to go beyond leading order in N. We review and develop further our previous results that the 1/N^2 corrections to the chiral anomaly on the super YM side can be exactly accounted for by the supergravity/string effective action induced at one loop. |
hep-th/0004119 | Jac Verbaarschot | B. Klein and J.J.M. Verbaarschot (Stony Brook) | Spectral Universality of Real Chiral Random Matrix Ensembles | 27 pages, 4 figures, Latex, corrected typos | Nucl.Phys.B588:483-507,2000 | 10.1016/S0550-3213(00)00448-X | SUNY-NTG/00-12 | hep-th | null | We investigate the universality of microscopic eigenvalue correlations for
Random Matrix Theories with the global symmetries of the QCD partition
function. In this article we analyze the case of real valued chiral Random
Matrix Theories ($\beta =1$) by relating the kernel of the correlations
functions for $\beta =1$ to the kernel of chiral Random Matrix Theories with
complex matrix elements ($\beta = 2$), which is already known to be universal.
Our proof is based on a novel asymptotic property of the skew-orthogonal
polynomials: an integral over the corresponding wavefunctions oscillates about
half its asymptotic value in the region of the bulk of the zeros. This result
solves the puzzle that microscopic universality persists in spite of
contributions to the microscopic correlators from the region near the largest
zero of the skew-orthogonal polynomials. Our analytical results are illustrated
by the numerical construction of the skew-orthogonal polynomials for an $x^4$
probability potential.
| [
{
"created": "Mon, 17 Apr 2000 05:21:44 GMT",
"version": "v1"
},
{
"created": "Tue, 9 May 2000 21:25:04 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Klein",
"B.",
"",
"Stony Brook"
],
[
"Verbaarschot",
"J. J. M.",
"",
"Stony Brook"
]
] | We investigate the universality of microscopic eigenvalue correlations for Random Matrix Theories with the global symmetries of the QCD partition function. In this article we analyze the case of real valued chiral Random Matrix Theories ($\beta =1$) by relating the kernel of the correlations functions for $\beta =1$ to the kernel of chiral Random Matrix Theories with complex matrix elements ($\beta = 2$), which is already known to be universal. Our proof is based on a novel asymptotic property of the skew-orthogonal polynomials: an integral over the corresponding wavefunctions oscillates about half its asymptotic value in the region of the bulk of the zeros. This result solves the puzzle that microscopic universality persists in spite of contributions to the microscopic correlators from the region near the largest zero of the skew-orthogonal polynomials. Our analytical results are illustrated by the numerical construction of the skew-orthogonal polynomials for an $x^4$ probability potential. |
1811.00130 | Willy Fischler | Tom Banks and Willy Fischler | Why The Cosmological Constant is a Boundary Condition | 12 pages, 2 figures, added references and expanded discussion of
large radius CFTs | null | null | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review arguments that the cosmological constant (c.c.) should not be
thought of as a local contribution to the energy density, but rather as an
infrared boundary condition specifying particular models of quantum gravity.
| [
{
"created": "Wed, 31 Oct 2018 21:37:43 GMT",
"version": "v1"
},
{
"created": "Sun, 11 Nov 2018 01:47:06 GMT",
"version": "v2"
}
] | 2018-11-13 | [
[
"Banks",
"Tom",
""
],
[
"Fischler",
"Willy",
""
]
] | We review arguments that the cosmological constant (c.c.) should not be thought of as a local contribution to the energy density, but rather as an infrared boundary condition specifying particular models of quantum gravity. |
1803.08088 | Yue-Zhou Li | Yue-Zhou Li and H. Lu | An a-theorem for Horndeski Gravity at the Critical Point | Latex, 29 pages, references added, further comments of the boundary
field theory of Horndeski gravity at the critical point added, to appear in
PRD | Phys. Rev. D 97, 126008 (2018) | 10.1103/PhysRevD.97.126008 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study holographic conformal anomalies and the corresponding $a$-theorem
for Einstein gravity extended with Horndeski terms that involve up to and
including linear curvature tensors. We focus on our discussion in $D=5$ bulk
dimensions. For the generic Horndeski coupling, the $a$-charge is the same as
that in Einstein gravity, but the inclusion of the Horndeski term violates the
$a$-theorem. However, there exists a critical point of the Horndeski coupling,
for which the theory admits nearly AdS spacetimes with non-vanishing Horndeski
scalar. The full AdS isometry is broken down by the logarithmic scalar hair to
the Poincar\'e group plus the scale invariance. We find that in this case the
$a$-charge depends on the AdS radius $\ell$ and the integration constant
$\chi_s$ of the Horndeski scalar. In addition, we find that two new central
charges emerge, that are absent in gravities with minimally-coupled matter. We
call them $b$-charges. These $b$-charges also depend on $\ell$ and $\chi_s$. We
construct an $a$-function for fixed $\ell$ but with the running Horndeski
scalar $\chi$ replacing the constant $\chi_s$, and establish the holographic
$a$-theorem using the null energy condition in the bulk. Furthermore, we find
that there exist analogous monotonous $b$-functions as well. We also obtain the
$a$-charge and the $a$-theorem in general odd bulk dimensions.
| [
{
"created": "Wed, 21 Mar 2018 18:46:11 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Mar 2018 06:08:49 GMT",
"version": "v2"
},
{
"created": "Mon, 21 May 2018 06:28:43 GMT",
"version": "v3"
}
] | 2018-06-20 | [
[
"Li",
"Yue-Zhou",
""
],
[
"Lu",
"H.",
""
]
] | We study holographic conformal anomalies and the corresponding $a$-theorem for Einstein gravity extended with Horndeski terms that involve up to and including linear curvature tensors. We focus on our discussion in $D=5$ bulk dimensions. For the generic Horndeski coupling, the $a$-charge is the same as that in Einstein gravity, but the inclusion of the Horndeski term violates the $a$-theorem. However, there exists a critical point of the Horndeski coupling, for which the theory admits nearly AdS spacetimes with non-vanishing Horndeski scalar. The full AdS isometry is broken down by the logarithmic scalar hair to the Poincar\'e group plus the scale invariance. We find that in this case the $a$-charge depends on the AdS radius $\ell$ and the integration constant $\chi_s$ of the Horndeski scalar. In addition, we find that two new central charges emerge, that are absent in gravities with minimally-coupled matter. We call them $b$-charges. These $b$-charges also depend on $\ell$ and $\chi_s$. We construct an $a$-function for fixed $\ell$ but with the running Horndeski scalar $\chi$ replacing the constant $\chi_s$, and establish the holographic $a$-theorem using the null energy condition in the bulk. Furthermore, we find that there exist analogous monotonous $b$-functions as well. We also obtain the $a$-charge and the $a$-theorem in general odd bulk dimensions. |
hep-th/9905021 | Alejandro Rivero Gracia | A. Rivero (U. of Zaragoza) | On Generations | 5 pages, LaTeX, small additions | null | null | null | hep-th | null | The well known operator ordering ambiguity could motivate the existence of
generations. This possibility is explored by exploiting the relationship
between ordering and discretization rules. Context is drawn from lattice theory
and non commutative geometry.
| [
{
"created": "Tue, 4 May 1999 10:50:54 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Oct 1999 21:32:44 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Rivero",
"A.",
"",
"U. of Zaragoza"
]
] | The well known operator ordering ambiguity could motivate the existence of generations. This possibility is explored by exploiting the relationship between ordering and discretization rules. Context is drawn from lattice theory and non commutative geometry. |
1412.7286 | Edvard Musaev | Edvard Musaev and Henning Samtleben | Fermions and Supersymmetry in $\rm E_{6(6)}$ Exceptional Field Theory | 23 pages + Appendix | null | 10.1007/JHEP03(2015)027 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the supersymmetric completion of E$_{6(6)}$-covariant
exceptional field theory. The theory is based on a $(5+27)$-dimensional
generalized space-time subject to a covariant section constraint. The fermions
are tensors under the local Lorentz group ${\rm SO}(1,4)\times {\rm USp}(8)$
and transform as weighted scalars under the E$_{6(6)}$ (internal) generalized
diffeomorphisms. We present the complete Lagrangian and prove its invariance
under supersymmetry. Upon explicit solution of the section constraint the
theory embeds full $D=11$ supergravity and IIB supergravity, respectively.
| [
{
"created": "Tue, 23 Dec 2014 08:22:51 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Musaev",
"Edvard",
""
],
[
"Samtleben",
"Henning",
""
]
] | We construct the supersymmetric completion of E$_{6(6)}$-covariant exceptional field theory. The theory is based on a $(5+27)$-dimensional generalized space-time subject to a covariant section constraint. The fermions are tensors under the local Lorentz group ${\rm SO}(1,4)\times {\rm USp}(8)$ and transform as weighted scalars under the E$_{6(6)}$ (internal) generalized diffeomorphisms. We present the complete Lagrangian and prove its invariance under supersymmetry. Upon explicit solution of the section constraint the theory embeds full $D=11$ supergravity and IIB supergravity, respectively. |
hep-th/0703173 | Robert Brandenberger | Robert Brandenberger (McGill University) | String Theory, Space-Time Non-Commutativity and Structure Formation | 12 pages, 2 figures, based on an invited talk at the 21st
Nishinomiya-Yukawa Memorial Symposium, Nov. 11 - 16, 2006, to be publ. in the
proceedings (Prog. Theor. Phys. Suppl.) | Prog.Theor.Phys.Suppl.171:121-132,2007 | 10.1143/PTPS.171.121 | null | hep-th astro-ph gr-qc hep-ph | null | A natural consequence of string theory is a non-commutative structure of
space-time on microscopic scales. The existence of a minimal length, and a
modification of the effective field theory are two consequences of this
space-time non-commutativity. I will first explore some consequences of the
modifications of the effective field theory for structure formation in the
context of an inflationary cosmology. Then, I will explore the possibility that
the existence of a minimal length will lead to a structure formation scenario
different from inflation. Specifically, I will discuss recent work on string
gas cosmology.
| [
{
"created": "Mon, 19 Mar 2007 20:41:51 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Brandenberger",
"Robert",
"",
"McGill University"
]
] | A natural consequence of string theory is a non-commutative structure of space-time on microscopic scales. The existence of a minimal length, and a modification of the effective field theory are two consequences of this space-time non-commutativity. I will first explore some consequences of the modifications of the effective field theory for structure formation in the context of an inflationary cosmology. Then, I will explore the possibility that the existence of a minimal length will lead to a structure formation scenario different from inflation. Specifically, I will discuss recent work on string gas cosmology. |
1807.06753 | Koji Azuma | Koji Azuma, Sathyawageeswar Subramanian | Do black holes store negative entropy? | 11 pages | null | null | null | hep-th gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bekenstein argued that black holes should have entropy proportional to their
areas to make black hole physics compatible with the second law of
thermodynamics. However, the heuristic picture for Hawking radiation, creation
of pairs of positive- and negative-energy particles, leads to an inconsistency
among the first law of black hole mechanics, Bekenstein's argument and quantum
mechanics. In this paper we propose an equation alternative to Bekenstein's
from the viewpoint of quantum information, rather than thermodynamics, to
resolve this inconsistency without changing Hawking's original proposal for the
radiation. This argues that the area of a black hole is proportional to the
coherent information, which is minus the conditional entropy, defined only in
the quantum regime, from the outside, to positive-energy particles inside it.
This hints that negative-energy particles inside a black hole behave as if they
have negative entropy. Our result suggests that the black holes store pure
quantum information, rather than classical information.
| [
{
"created": "Wed, 18 Jul 2018 02:59:36 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Feb 2019 13:37:43 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Jul 2019 04:34:41 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Mar 2020 07:45:13 GMT",
"version": "v4"
},
{
"cre... | 2020-04-28 | [
[
"Azuma",
"Koji",
""
],
[
"Subramanian",
"Sathyawageeswar",
""
]
] | Bekenstein argued that black holes should have entropy proportional to their areas to make black hole physics compatible with the second law of thermodynamics. However, the heuristic picture for Hawking radiation, creation of pairs of positive- and negative-energy particles, leads to an inconsistency among the first law of black hole mechanics, Bekenstein's argument and quantum mechanics. In this paper we propose an equation alternative to Bekenstein's from the viewpoint of quantum information, rather than thermodynamics, to resolve this inconsistency without changing Hawking's original proposal for the radiation. This argues that the area of a black hole is proportional to the coherent information, which is minus the conditional entropy, defined only in the quantum regime, from the outside, to positive-energy particles inside it. This hints that negative-energy particles inside a black hole behave as if they have negative entropy. Our result suggests that the black holes store pure quantum information, rather than classical information. |
2004.11655 | Lavinia Heisenberg | Lavinia Heisenberg, Johannes Noller, Jann Zosso | Horndeski under the quantum loupe | 23 pages, 4 figures | null | 10.1088/1475-7516/2020/10/010 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | With recent constraints on the propagation speed of gravitational waves, the
class of scalar-tensor theories has significantly been reduced. We consider one
of the surviving models still relevant for cosmology and investigate its
radiative stability. The model contains operators with explicit breaking of the
Galileon symmetry and we study whether they harm the re-organization of the
effective field theory. Within the regime of validity we establish a
non-renormalization theorem and show explicitly that the quantum corrections,
to one-loop, do not detune the classical Lagrangian generating suppressed
counterterms. This is striking since the non-renormalization theorem is
established in the presence of a genuine Galileon symmetry breaking term.
| [
{
"created": "Fri, 24 Apr 2020 11:13:21 GMT",
"version": "v1"
}
] | 2020-10-14 | [
[
"Heisenberg",
"Lavinia",
""
],
[
"Noller",
"Johannes",
""
],
[
"Zosso",
"Jann",
""
]
] | With recent constraints on the propagation speed of gravitational waves, the class of scalar-tensor theories has significantly been reduced. We consider one of the surviving models still relevant for cosmology and investigate its radiative stability. The model contains operators with explicit breaking of the Galileon symmetry and we study whether they harm the re-organization of the effective field theory. Within the regime of validity we establish a non-renormalization theorem and show explicitly that the quantum corrections, to one-loop, do not detune the classical Lagrangian generating suppressed counterterms. This is striking since the non-renormalization theorem is established in the presence of a genuine Galileon symmetry breaking term. |
1705.06376 | Masahito Yamazaki | Masahito Yamazaki | Decomposing Quantum Field Theories | introductory review in Japanese, published in October 2012; 9 pages,
3 figures; v2: minor revision | Suurikagaku 592, 7 (2012) | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the question of exploring the "theory space" of quantum field
theories, we review the concept of "decomposing" and "gluing" quantum field
theories. We explain this in the context of three-dimensional $\mathcal{N}=2$
supersymmetric domain walls inside four-dimensional $\mathcal{N}=2$ theories,
where the latter arise from the 6d $(2,0)$ theory compactified on Riemann
surfaces. We find that $S^3$ partition functions of the three-dimensional
theories can be interpreted as partition functions of a three-dimensional
topological quantum field theory.
| [
{
"created": "Thu, 18 May 2017 00:11:13 GMT",
"version": "v1"
},
{
"created": "Wed, 24 May 2017 12:45:37 GMT",
"version": "v2"
}
] | 2017-05-25 | [
[
"Yamazaki",
"Masahito",
""
]
] | Motivated by the question of exploring the "theory space" of quantum field theories, we review the concept of "decomposing" and "gluing" quantum field theories. We explain this in the context of three-dimensional $\mathcal{N}=2$ supersymmetric domain walls inside four-dimensional $\mathcal{N}=2$ theories, where the latter arise from the 6d $(2,0)$ theory compactified on Riemann surfaces. We find that $S^3$ partition functions of the three-dimensional theories can be interpreted as partition functions of a three-dimensional topological quantum field theory. |
hep-th/9807009 | Herrera Aguilar Alfredo | Alfredo Herrera-Aguilar and Oleg Kechkin | IWP Solutions for Heterotic String in Five Dimensions | 8 pages in LaTex. We have corrected some signs and two Eqs. of
formula (29) | Mod.Phys.Lett.A13:1979-1986,1998 | 10.1142/S0217732398002084 | null | hep-th | null | We obtain extremal stationary solutions that generalize the
Israel-Wilson-Perj\'es class for the low-energy limit of heterotic string
theory with n>=3 U(1) gauge fields toroidally compactified from five to three
dimensions. A dyonic solution is obtained using the matrix Ernst potential
(MEP) formulation and expressed in terms of a single real 3X3-matrix harmonic
function. By studying the asymptotic behaviour of the field configurations we
define the physical charges of the field system. The extremality condition
makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound.
| [
{
"created": "Wed, 1 Jul 1998 19:25:03 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jul 1998 13:12:11 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Kechkin",
"Oleg",
""
]
] | We obtain extremal stationary solutions that generalize the Israel-Wilson-Perj\'es class for the low-energy limit of heterotic string theory with n>=3 U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real 3X3-matrix harmonic function. By studying the asymptotic behaviour of the field configurations we define the physical charges of the field system. The extremality condition makes the charges to saturate the Bogomol'nyi-Prasad-Sommerfield (BPS) bound. |
hep-th/9607170 | Arut | G.E.Arutyunov, S.A.Frolov and P.B.Medvedev | Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the
Affine Heisenberg Double | latex, 15 pages, a new section is added where we show that the
problem of solving the equations of motion is equivalent to the factorization
problem | J.Phys.A30:5051-5063,1997 | 10.1088/0305-4470/30/14/016 | SMI-96-55 | hep-th | null | It is shown that the elliptic Ruijsenaars-Schneider model can be obtained
from the affine Heisenberg Double by means of the Poisson reduction procedure.
The dynamical $r$-matrix naturally appears in the construction.
| [
{
"created": "Mon, 22 Jul 1996 15:00:25 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Oct 1996 13:53:14 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Arutyunov",
"G. E.",
""
],
[
"Frolov",
"S. A.",
""
],
[
"Medvedev",
"P. B.",
""
]
] | It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical $r$-matrix naturally appears in the construction. |
hep-th/0204112 | Shin'ichi Nojiri | Shin'ichi Nojiri and Sergei D. Odintsov | (Anti-) de Sitter Black Holes in higher derivative gravity and dual
Conformal Field Theories | LaTeX 19 pages, misprints are corrected | Phys.Rev.D66:044012,2002 | 10.1103/PhysRevD.66.044012 | null | hep-th | null | Thermodynamics of five-dimensional Schwarzschild Anti-de Sitter (SAdS) and
SdS black holes in the particular model of higher derivative gravity is
considered. The free energy, mass (thermodynamical energy) and entropy are
evaluated. There exists the parameters region where BH entropy is zero or
negative. The arguments are given that corresponding BH solutions are not
stable. We also present the FRW-equations of motion of time (space)-like branes
in SAdS or SdS BH background. The properties of dual CFT are discussed and it
is shown that it has zero Casimir energy when BH entropy (effective
gravitational constant) is zero. The Cardy-Verlinde formula for CFT dual to
SAdS or SdS BH is found in the universal form.
| [
{
"created": "Sat, 13 Apr 2002 14:54:49 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Apr 2002 16:18:45 GMT",
"version": "v2"
},
{
"created": "Wed, 1 May 2002 13:38:15 GMT",
"version": "v3"
}
] | 2009-09-17 | [
[
"Nojiri",
"Shin'ichi",
""
],
[
"Odintsov",
"Sergei D.",
""
]
] | Thermodynamics of five-dimensional Schwarzschild Anti-de Sitter (SAdS) and SdS black holes in the particular model of higher derivative gravity is considered. The free energy, mass (thermodynamical energy) and entropy are evaluated. There exists the parameters region where BH entropy is zero or negative. The arguments are given that corresponding BH solutions are not stable. We also present the FRW-equations of motion of time (space)-like branes in SAdS or SdS BH background. The properties of dual CFT are discussed and it is shown that it has zero Casimir energy when BH entropy (effective gravitational constant) is zero. The Cardy-Verlinde formula for CFT dual to SAdS or SdS BH is found in the universal form. |
hep-th/0501047 | Rafael I. Nepomechie | Changrim Ahn, Zoltan Bajnok, Rafael I. Nepomechie, Laszlo Palla and
Gabor Takacs | NLIE for hole excited states in the sine-Gordon model with two
boundaries | 31 pages, LaTeX; graphicx, epstopdf, 4 figures | Nucl.Phys. B714 (2005) 307-335 | 10.1016/j.nuclphysb.2005.03.014 | ITP Budapest Report No. 616; UMTG-245 | hep-th | null | We derive a nonlinear integral equation (NLIE) for some bulk excited states
of the sine-Gordon model on a finite interval with general integrable boundary
interactions, including boundary terms proportional to the first time
derivative of the field. We use this NLIE to compute numerically the dimensions
of these states as a function of scale, and check the UV and IR limits
analytically. We also find further support for the ground-state NLIE by
comparison with boundary conformal perturbation theory (BCPT), boundary
truncated conformal space approach (BTCSA) and the boundary analogue of the
Luscher formula.
| [
{
"created": "Fri, 7 Jan 2005 16:13:03 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Ahn",
"Changrim",
""
],
[
"Bajnok",
"Zoltan",
""
],
[
"Nepomechie",
"Rafael I.",
""
],
[
"Palla",
"Laszlo",
""
],
[
"Takacs",
"Gabor",
""
]
] | We derive a nonlinear integral equation (NLIE) for some bulk excited states of the sine-Gordon model on a finite interval with general integrable boundary interactions, including boundary terms proportional to the first time derivative of the field. We use this NLIE to compute numerically the dimensions of these states as a function of scale, and check the UV and IR limits analytically. We also find further support for the ground-state NLIE by comparison with boundary conformal perturbation theory (BCPT), boundary truncated conformal space approach (BTCSA) and the boundary analogue of the Luscher formula. |
hep-th/9603129 | Toshio Nakatsu | T.Nakatsu and K.Takasaki | Integrable System and $N=2$ Supersymmetric Yang-Mills Theory | 6 pages,latex file with sprocl.sty, no figures, to appear in the
Proceedings of the Workshop (Talk presented at the Workshop "Frontiers in
Quantum Field Theory" in honor of the 60th birthday of Prof. Keiji Kikkawa,
Osaka, Japan, December 1995 | null | null | RITS-96-01 | hep-th | null | The exact solutions (Seiberg-Witten type) of $N=2$ supersymmetric Yang-Mills
theory are discussed from the view of Whitham-Toda hierarchy.
| [
{
"created": "Tue, 19 Mar 1996 07:38:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Nakatsu",
"T.",
""
],
[
"Takasaki",
"K.",
""
]
] | The exact solutions (Seiberg-Witten type) of $N=2$ supersymmetric Yang-Mills theory are discussed from the view of Whitham-Toda hierarchy. |
2007.05512 | Augusto Pl\'acido Cavalcante Melo de Lima | A.P.C.M. Lima, G. Alencar and R.R. Landim | Comment on "Casimir effect in a weak gravitational field: Schwinger's
approach" | 6 pages. V2: Reference added, typo revision and title fixed v3:
author's information and acknowledgements added v4: Conclusion rewritten, new
reference added | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the statement in F. Sorge [Class. Quant. Grav. 36, no.23, 235006
(2019)] that the Casimir effect receives second order corrections due to
gravity is not consistent. We remark especially on the tracing of the proper
time Hamiltonian, where the correct procedure is to use the eigenfunctions and
eigenvalues of the covariant DAlembertian. After some cancellations we find
that the value of the functional W [0] is the same as obtained by Sorge.
However, we argue that the proper vacuum energy density carries extra
space-time volume terms that cancel over the gravitational correction,
returning to the same expression as in Minkowski space-time.
| [
{
"created": "Fri, 10 Jul 2020 17:46:58 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Jul 2020 16:35:40 GMT",
"version": "v2"
},
{
"created": "Fri, 17 Jul 2020 14:29:10 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Aug 2020 16:28:00 GMT",
"version": "v4"
}
] | 2020-08-14 | [
[
"Lima",
"A. P. C. M.",
""
],
[
"Alencar",
"G.",
""
],
[
"Landim",
"R. R.",
""
]
] | We show that the statement in F. Sorge [Class. Quant. Grav. 36, no.23, 235006 (2019)] that the Casimir effect receives second order corrections due to gravity is not consistent. We remark especially on the tracing of the proper time Hamiltonian, where the correct procedure is to use the eigenfunctions and eigenvalues of the covariant DAlembertian. After some cancellations we find that the value of the functional W [0] is the same as obtained by Sorge. However, we argue that the proper vacuum energy density carries extra space-time volume terms that cancel over the gravitational correction, returning to the same expression as in Minkowski space-time. |
2407.16756 | Muthusamy Rajaguru | Muthusamy Rajaguru, Anindya Sengupta, and Timm Wrase | Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model | 33 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study moduli stabilization via fluxes in the $2^6$ Landau-Ginzburg model.
Fluxes not only give masses to scalar fields but can also induce higher order
couplings that stabilize massless fields. We investigate this for several
different flux choices in the $2^6$ model and find two examples that are
inconsistent with the Refined Tadpole Conjecture. We also present, to our
knowledge, the first 4d $\mathcal{N}=1$ Minkowski solution in string theory
without any flat direction.
| [
{
"created": "Tue, 23 Jul 2024 18:00:04 GMT",
"version": "v1"
}
] | 2024-07-25 | [
[
"Rajaguru",
"Muthusamy",
""
],
[
"Sengupta",
"Anindya",
""
],
[
"Wrase",
"Timm",
""
]
] | We study moduli stabilization via fluxes in the $2^6$ Landau-Ginzburg model. Fluxes not only give masses to scalar fields but can also induce higher order couplings that stabilize massless fields. We investigate this for several different flux choices in the $2^6$ model and find two examples that are inconsistent with the Refined Tadpole Conjecture. We also present, to our knowledge, the first 4d $\mathcal{N}=1$ Minkowski solution in string theory without any flat direction. |
hep-th/0109038 | Miguel A. Vazquez-Mozo | K.E. Kunze and M.A. Vazquez-Mozo | Quintessential brane cosmology | 29 pages. LaTeX. 5 postscript figures included. v2 typos corrected
and references added. Final version to appear in Phys.Rev.D | Phys.Rev.D65:044002,2002 | 10.1103/PhysRevD.65.044002 | null | hep-th astro-ph gr-qc | null | We study a class of braneworlds where the cosmological evolution arises as
the result of the movement of a three-brane in a five-dimensional static
dilatonic bulk, with and without reflection symmetry. The resulting
four-dimensional Friedmann equation includes a term which, for a certain range
of the parameters, effectively works as a quintessence component, producing an
acceleration of the universe at late times. Using current observations and
bounds derived from big-bang nucleosynthesis we estimate the parameters that
characterize the model.
| [
{
"created": "Wed, 5 Sep 2001 15:28:31 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Dec 2001 12:40:44 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Kunze",
"K. E.",
""
],
[
"Vazquez-Mozo",
"M. A.",
""
]
] | We study a class of braneworlds where the cosmological evolution arises as the result of the movement of a three-brane in a five-dimensional static dilatonic bulk, with and without reflection symmetry. The resulting four-dimensional Friedmann equation includes a term which, for a certain range of the parameters, effectively works as a quintessence component, producing an acceleration of the universe at late times. Using current observations and bounds derived from big-bang nucleosynthesis we estimate the parameters that characterize the model. |
2310.00320 | K. Narayan | K. Narayan | Further remarks on de Sitter space, extremal surfaces and time
entanglement | Latex, 34pgs, many figs, v2,v3: entropy inequalities further
expanded, clarifications added, title slightly altered | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop further the investigations in arXiv:2210.12963 [hep-th] on de
Sitter space, extremal surfaces and time entanglement. We discuss the
no-boundary de Sitter extremal surface areas as certain analytic continuations
from $AdS$ while also amounting to space-time rotations. The structure of the
extremal surfaces suggests a geometric picture of the time-entanglement or
pseudo-entanglement wedge. We also study some entropy relations for multiple
subregions. The analytic continuation suggests a heuristic Lewkowycz-Maldacena
formulation of the extremal surface areas. In the bulk, this is now a replica
formulation on the Wavefunction which suggests interpretation as
pseudo-entropy. Finally we also discuss aspects of future-past entangled states
and time evolution.
| [
{
"created": "Sat, 30 Sep 2023 09:28:44 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Dec 2023 07:38:06 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Feb 2024 15:31:28 GMT",
"version": "v3"
}
] | 2024-02-21 | [
[
"Narayan",
"K.",
""
]
] | We develop further the investigations in arXiv:2210.12963 [hep-th] on de Sitter space, extremal surfaces and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from $AdS$ while also amounting to space-time rotations. The structure of the extremal surfaces suggests a geometric picture of the time-entanglement or pseudo-entanglement wedge. We also study some entropy relations for multiple subregions. The analytic continuation suggests a heuristic Lewkowycz-Maldacena formulation of the extremal surface areas. In the bulk, this is now a replica formulation on the Wavefunction which suggests interpretation as pseudo-entropy. Finally we also discuss aspects of future-past entangled states and time evolution. |
2010.03575 | Joydeep Chakravarty | Joydeep Chakravarty | Overcounting of interior excitations: A resolution to the bags of gold
paradox in AdS | 59 pages including appendices, 10 figures. Added references, fixed
typos and changed fonts | null | 10.1007/JHEP02(2021)027 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate how single-sided and eternal black holes in AdS
can host an enormous number of semiclassical excitations in their interior,
which is seemingly not reflected in the Bekenstein Hawking entropy. In addition
to the paradox in the entropy, we argue that the treatment of such excitations
using effective field theory also violates black holes' expected spectral
properties. We propose that these mysteries are resolved because apparently
orthogonal semiclassical bulk excitations have small inner products between
them; and consequently, a vast number of semiclassical excitations can be
constructed using the Hilbert space which describes black hole's interior. We
show that there is no paradox in the dual CFT description and comment upon the
initial bulk state, which leads to the paradox. Further, we demonstrate our
proposed resolution in the context of small $N$ toy matrix models, where we
model the construction of these large number of excitations. We conclude by
discussing why this resolution is special to black holes.
| [
{
"created": "Wed, 7 Oct 2020 18:00:03 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Nov 2020 19:20:19 GMT",
"version": "v2"
}
] | 2021-02-18 | [
[
"Chakravarty",
"Joydeep",
""
]
] | In this work, we investigate how single-sided and eternal black holes in AdS can host an enormous number of semiclassical excitations in their interior, which is seemingly not reflected in the Bekenstein Hawking entropy. In addition to the paradox in the entropy, we argue that the treatment of such excitations using effective field theory also violates black holes' expected spectral properties. We propose that these mysteries are resolved because apparently orthogonal semiclassical bulk excitations have small inner products between them; and consequently, a vast number of semiclassical excitations can be constructed using the Hilbert space which describes black hole's interior. We show that there is no paradox in the dual CFT description and comment upon the initial bulk state, which leads to the paradox. Further, we demonstrate our proposed resolution in the context of small $N$ toy matrix models, where we model the construction of these large number of excitations. We conclude by discussing why this resolution is special to black holes. |
2312.08597 | Elizabeth Himwich | Elizabeth Himwich, Monica Pate | ${\rm w}_{1+\infty}$ in 4D Gravitational Scattering | 36 pages plus references | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In four-dimensional asymptotically flat spacetimes, an infinite tower of soft
graviton modes is known to generate the symmetry algebra of ${\rm
w}_{1+\infty}$ at tree-level. Here we demonstrate that the symmetry action
follows from soft graviton theorems and acts non-trivially on massive scalar
particles. By generalizing previous analyses that were specifically tailored to
the scattering of massless particles, our results clarify that ${\rm
w}_{1+\infty}$ symmetry is a universal feature of tree-level gravitational
scattering in four-dimensional asymptotically flat spacetimes and originates
from minimally-coupled gravitational interactions. In addition, we show that
the ${\rm w}_{1+\infty}$ symmetry acts non-diagonally on massive states by
mixing an infinite number of conformal families. We also present a concrete
example of non-local behavior on the celestial sphere in the presence of
massive scattering states.
| [
{
"created": "Thu, 14 Dec 2023 01:45:15 GMT",
"version": "v1"
}
] | 2023-12-15 | [
[
"Himwich",
"Elizabeth",
""
],
[
"Pate",
"Monica",
""
]
] | In four-dimensional asymptotically flat spacetimes, an infinite tower of soft graviton modes is known to generate the symmetry algebra of ${\rm w}_{1+\infty}$ at tree-level. Here we demonstrate that the symmetry action follows from soft graviton theorems and acts non-trivially on massive scalar particles. By generalizing previous analyses that were specifically tailored to the scattering of massless particles, our results clarify that ${\rm w}_{1+\infty}$ symmetry is a universal feature of tree-level gravitational scattering in four-dimensional asymptotically flat spacetimes and originates from minimally-coupled gravitational interactions. In addition, we show that the ${\rm w}_{1+\infty}$ symmetry acts non-diagonally on massive states by mixing an infinite number of conformal families. We also present a concrete example of non-local behavior on the celestial sphere in the presence of massive scattering states. |
2309.10044 | Juan Miguel Nieto Garc\'ia | Juan Miguel Nieto Garc\'ia | Jordan blocks and the Bethe ansatz III: Class 5 model and its symmetries | 20 pages; v2 significant changes in section 4 and appendix A | null | null | ZMP-HH/23-15 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Hilbert space of the Class 5 model described in
arXiv:1904.12005. Despite being integrable, neither its transfer matrix nor its
Hamiltonian are diagonalisable, meaning that the usual Algebraic Bethe Ansatz
does not provide the full Hilbert space. Instead, we make use of the symmetries
of the model to construct the Jordan blocks of the transfer matrix. We also
show that the Hamiltonian and the transfer matrix, despite commuting, do not
have the same Jordan block structure.
| [
{
"created": "Mon, 18 Sep 2023 18:00:25 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Dec 2023 13:12:30 GMT",
"version": "v2"
}
] | 2023-12-11 | [
[
"García",
"Juan Miguel Nieto",
""
]
] | We study the Hilbert space of the Class 5 model described in arXiv:1904.12005. Despite being integrable, neither its transfer matrix nor its Hamiltonian are diagonalisable, meaning that the usual Algebraic Bethe Ansatz does not provide the full Hilbert space. Instead, we make use of the symmetries of the model to construct the Jordan blocks of the transfer matrix. We also show that the Hamiltonian and the transfer matrix, despite commuting, do not have the same Jordan block structure. |
1311.1137 | Herman Verlinde | Erik Verlinde and Herman Verlinde | Behind the Horizon in AdS/CFT | 4 pages; References added; unnecessary simplifying assumption
removed, conclusions unchanged | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We extend the recent proposal of Papadodimas and Raju of a CFT construction
of operators inside the black hole interior to arbitrary non-maximally mixed
states. Our construction builds on the general prescription given in earlier
work, based on ideas from quantum error correction. We indicate how the CFT
state dependence of the interior modes can be removed by introducing an
external system, such as an observer, that is entangled with the CFT.
| [
{
"created": "Tue, 5 Nov 2013 17:45:01 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Nov 2013 20:53:04 GMT",
"version": "v2"
}
] | 2013-11-19 | [
[
"Verlinde",
"Erik",
""
],
[
"Verlinde",
"Herman",
""
]
] | We extend the recent proposal of Papadodimas and Raju of a CFT construction of operators inside the black hole interior to arbitrary non-maximally mixed states. Our construction builds on the general prescription given in earlier work, based on ideas from quantum error correction. We indicate how the CFT state dependence of the interior modes can be removed by introducing an external system, such as an observer, that is entangled with the CFT. |
hep-th/0508042 | Ashoke Sen | Ashoke Sen | Entropy Function for Heterotic Black Holes | LaTeX file, 23 pages; v2: references added; v3: minor addition; v4:
minor changes | JHEP 0603:008,2006 | 10.1088/1126-6708/2006/03/008 | null | hep-th | null | We use the entropy function formalism to study the effect of the Gauss-Bonnet
term on the entropy of spherically symmetric extremal black holes in heterotic
string theory in four dimensions. Surprisingly the resulting entropy and the
near horizon metric, gauge field strengths and the axion-dilaton field are
identical to those obtained by Cardoso et. al. for a supersymmetric version of
the theory that contains Weyl tensor squared term instead of the Gauss-Bonnet
term. We also study the effect of holomorphic anomaly on the entropy using our
formalism. Again the resulting attractor equations for the axion-dilaton field
and the black hole entropy agree with the corresponding equations for the
supersymmetric version of the theory. These results suggest that there might be
a simpler description of supergravity with curvature squared terms in which we
supersymmetrize the Gauss-Bonnet term instead of the Weyl tensor squared term.
| [
{
"created": "Mon, 8 Aug 2005 17:45:56 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Aug 2005 18:33:37 GMT",
"version": "v2"
},
{
"created": "Sun, 11 Sep 2005 08:03:25 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Jul 2006 02:48:58 GMT",
"version": "v4"
}
] | 2009-11-11 | [
[
"Sen",
"Ashoke",
""
]
] | We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions. Surprisingly the resulting entropy and the near horizon metric, gauge field strengths and the axion-dilaton field are identical to those obtained by Cardoso et. al. for a supersymmetric version of the theory that contains Weyl tensor squared term instead of the Gauss-Bonnet term. We also study the effect of holomorphic anomaly on the entropy using our formalism. Again the resulting attractor equations for the axion-dilaton field and the black hole entropy agree with the corresponding equations for the supersymmetric version of the theory. These results suggest that there might be a simpler description of supergravity with curvature squared terms in which we supersymmetrize the Gauss-Bonnet term instead of the Weyl tensor squared term. |
hep-th/9409177 | Clifford Johnson | Clifford V. Johnson and Robert C. Myers | Stringy Twists of the Taub--Nut Metric | 3 pages (LaTex) (Talk presented by RCM at the Seventh Marcel
Grossmann Meeting at Stanford University July 24th---30th 1994),
McGill/94-40, IASSNS-HEP-94/65 | null | null | null | hep-th | null | In the low-energy limit, string theory has two remarkable symmetries,
O(d,d+p) and SL(2,R). We illustrate the use of these transformations as
techniques to generate new solutions by applying them to the Taub--NUT metric.
| [
{
"created": "Wed, 28 Sep 1994 19:08:38 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Johnson",
"Clifford V.",
""
],
[
"Myers",
"Robert C.",
""
]
] | In the low-energy limit, string theory has two remarkable symmetries, O(d,d+p) and SL(2,R). We illustrate the use of these transformations as techniques to generate new solutions by applying them to the Taub--NUT metric. |
2307.15757 | Georgy Prokhorov | G. Yu. Prokhorov, O. V. Teryaev and V. I. Zakharov | Chiral effects: new trends | Contribution to: Infinite and Finite Nuclear Matter (INFINUM-2023) | null | null | null | hep-th gr-qc hep-ph nucl-th | http://creativecommons.org/licenses/by/4.0/ | By chiral effects one understands manifestations of chiral gauge anomaly and
of gravitational chiral anomaly in hydrodynamics. In recent two-three years our
understanding of the chiral effects has considerably changed. Here we present
mini-review of two topics. First, shift in understanding symmetry which
underlies the chiral magnetic effect and, second, interpretation of the chiral
kinematical effect uncovered recently.
| [
{
"created": "Fri, 28 Jul 2023 18:24:12 GMT",
"version": "v1"
}
] | 2023-08-01 | [
[
"Prokhorov",
"G. Yu.",
""
],
[
"Teryaev",
"O. V.",
""
],
[
"Zakharov",
"V. I.",
""
]
] | By chiral effects one understands manifestations of chiral gauge anomaly and of gravitational chiral anomaly in hydrodynamics. In recent two-three years our understanding of the chiral effects has considerably changed. Here we present mini-review of two topics. First, shift in understanding symmetry which underlies the chiral magnetic effect and, second, interpretation of the chiral kinematical effect uncovered recently. |
hep-th/9310197 | null | Oleg A. Soloviev | The WZNW model as an integrable perturbation of the Witten conformal
point | 13 pages, LaTex file, QMW-93-28 | Phys.Lett.B321:365-367,1994 | 10.1016/0370-2693(94)90258-5 | null | hep-th | null | We show that the WZNW model with arbitrary $\sigma$-model coupling constant
may be viewed as a $\sigma$-model perturbation of the WZNW theory around the
Witten conformal point. In order for the $\sigma$-model perturbation to be
relevant, the level $k$ of the underlying affine algebra has to be negative. We
prove that in the large $|k|$ limit the perturbed WZNW system with negative $k$
flows to the conformal WZNW model with positive level. The flow appears to be
integrable due to the existence of conserved currents satisfying the Lax
equation. This fact is in a favorable agreement with the integrability of the
WZNW model discovered by Polyakov and Wiegmann within the Bethe ansatz
technique.
| [
{
"created": "Sun, 31 Oct 1993 13:49:39 GMT",
"version": "v1"
}
] | 2011-07-19 | [
[
"Soloviev",
"Oleg A.",
""
]
] | We show that the WZNW model with arbitrary $\sigma$-model coupling constant may be viewed as a $\sigma$-model perturbation of the WZNW theory around the Witten conformal point. In order for the $\sigma$-model perturbation to be relevant, the level $k$ of the underlying affine algebra has to be negative. We prove that in the large $|k|$ limit the perturbed WZNW system with negative $k$ flows to the conformal WZNW model with positive level. The flow appears to be integrable due to the existence of conserved currents satisfying the Lax equation. This fact is in a favorable agreement with the integrability of the WZNW model discovered by Polyakov and Wiegmann within the Bethe ansatz technique. |
1705.06713 | Carlo Iazeolla | Carlo Iazeolla, Per Sundell | 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations | 63 pages + appendices; v2: reference added; v3: comments and
references added, typos corrected | null | 10.1007/JHEP10(2017)130 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an infinite-dimensional space of solutions to Vasiliev's
equations in four dimensions that are asymptotic to AdS spacetime and superpose
massless scalar particle modes over static higher spin black holes. Each
solution is obtained by a large gauge transformation of an all-order
perturbatively defined particular solution given in a simple gauge, in which
the spacetime connection vanishes, the twistor space connection is holomorphic,
and all local degrees of freedom are encoded into the residual twistor space
dependence of the spacetime zero-forms. The latter are expanded over two dual
spaces of Fock space operators, corresponding to scalar particle and static
black hole modes, equipped with positive definite sesquilinear and bilinear
forms, respectively. Switching on an AdS vacuum gauge function, the twistor
space connection becomes analytic at generic spacetime points, which makes it
possible to reach Vasiliev's gauge, in which Fronsdal fields arise
asymptotically, by another large transformation given here at first order. The
particle and black hole modes are related by a twistor space Fourier transform,
resulting in a black hole backreaction already at the second order of classical
perturbation theory. We speculate on the existence of a fine-tuned branch of
moduli space that is free from black hole modes and directly related to the
quasi-local deformed Fronsdal theory. Finally, we comment on a possible
interpretation of the higher spin black hole solutions as black-hole
microstates.
| [
{
"created": "Thu, 18 May 2017 17:31:27 GMT",
"version": "v1"
},
{
"created": "Mon, 22 May 2017 17:25:52 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Jun 2017 17:29:49 GMT",
"version": "v3"
}
] | 2017-11-22 | [
[
"Iazeolla",
"Carlo",
""
],
[
"Sundell",
"Per",
""
]
] | We construct an infinite-dimensional space of solutions to Vasiliev's equations in four dimensions that are asymptotic to AdS spacetime and superpose massless scalar particle modes over static higher spin black holes. Each solution is obtained by a large gauge transformation of an all-order perturbatively defined particular solution given in a simple gauge, in which the spacetime connection vanishes, the twistor space connection is holomorphic, and all local degrees of freedom are encoded into the residual twistor space dependence of the spacetime zero-forms. The latter are expanded over two dual spaces of Fock space operators, corresponding to scalar particle and static black hole modes, equipped with positive definite sesquilinear and bilinear forms, respectively. Switching on an AdS vacuum gauge function, the twistor space connection becomes analytic at generic spacetime points, which makes it possible to reach Vasiliev's gauge, in which Fronsdal fields arise asymptotically, by another large transformation given here at first order. The particle and black hole modes are related by a twistor space Fourier transform, resulting in a black hole backreaction already at the second order of classical perturbation theory. We speculate on the existence of a fine-tuned branch of moduli space that is free from black hole modes and directly related to the quasi-local deformed Fronsdal theory. Finally, we comment on a possible interpretation of the higher spin black hole solutions as black-hole microstates. |
hep-th/0510114 | Tamiaki Yoneya | Tamiaki Yoneya | Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in
AdS/CFT -- Towards Field Theory of D-Branes -- | 43 pages, 4 figures; version 2, corrected typos and added references | JHEP0512:028,2005 | 10.1088/1126-6708/2005/12/028 | UT-KOMABA/05-11 | hep-th | null | We extend the fermion representation of single-charge 1/2-BPS operators in
the four-dimensional N=4 super Yang-Mills theory to general (multi-charge)
1/2-BPS operators such that all six directions of scalar fields play roles on
an equal footing. This enables us to construct a field-theorectic
representation for a second-quantized system of spherical D3-branes in the
1/2-BPS sector. The Fock space of D3-branes is characterized by a novel
exclusion principle (called `Dexclusion' principle), and also by a nonlocality
which is consistent with the spacetime uncertainty relation. The Dexclusion
principle is realized by composites of two operators, obeying the usual
canonical anticommutation relation and the Cuntz algebra, respectively. The
nonlocality appears as a consequence of a superselction rule associated with a
symmetry which is related to the scale invariance of the super Yang-Mills
theory. The entropy of the so-called superstars, with multiple charges, which
have been proposed to be geometries corresponding to the condensation of giant
gravitons is discussed from our viewpoint and is argued to be consistent with
the Dexclusion principle. Our construction may be regarded as a first step
towards a possible new framework of general D-brane field theory.
| [
{
"created": "Fri, 14 Oct 2005 09:22:46 GMT",
"version": "v1"
},
{
"created": "Mon, 24 Oct 2005 12:44:26 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Yoneya",
"Tamiaki",
""
]
] | We extend the fermion representation of single-charge 1/2-BPS operators in the four-dimensional N=4 super Yang-Mills theory to general (multi-charge) 1/2-BPS operators such that all six directions of scalar fields play roles on an equal footing. This enables us to construct a field-theorectic representation for a second-quantized system of spherical D3-branes in the 1/2-BPS sector. The Fock space of D3-branes is characterized by a novel exclusion principle (called `Dexclusion' principle), and also by a nonlocality which is consistent with the spacetime uncertainty relation. The Dexclusion principle is realized by composites of two operators, obeying the usual canonical anticommutation relation and the Cuntz algebra, respectively. The nonlocality appears as a consequence of a superselction rule associated with a symmetry which is related to the scale invariance of the super Yang-Mills theory. The entropy of the so-called superstars, with multiple charges, which have been proposed to be geometries corresponding to the condensation of giant gravitons is discussed from our viewpoint and is argued to be consistent with the Dexclusion principle. Our construction may be regarded as a first step towards a possible new framework of general D-brane field theory. |
hep-th/9506055 | Ralf Kerschner | Ralf Kerschner (T"ubingen) | On an inconsistency in path integral bosonization | LaTeX, 8 pages | null | null | Tue-prep-95-6-06 | hep-th | null | A critically discerning discussion of path integral bosonization is given.
Successively evaluating the conventional path integral bosonization of QCD it
is shown without any approximations that gluons must be composed of two quarks.
This contradicts the fundamentals of QCD, where quarks and gluons are
independent fields. Furthermore, bosonizing the Fierz reordered effective four
quark interaction term yields gluons, too. Colorless ``mesons'' are shown to be
Fierz equivalent to a submanifold of gluons. The results obtained are not
specific to QCD, but apply to other models as well.
| [
{
"created": "Thu, 8 Jun 1995 12:28:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kerschner",
"Ralf",
"",
"T\"ubingen"
]
] | A critically discerning discussion of path integral bosonization is given. Successively evaluating the conventional path integral bosonization of QCD it is shown without any approximations that gluons must be composed of two quarks. This contradicts the fundamentals of QCD, where quarks and gluons are independent fields. Furthermore, bosonizing the Fierz reordered effective four quark interaction term yields gluons, too. Colorless ``mesons'' are shown to be Fierz equivalent to a submanifold of gluons. The results obtained are not specific to QCD, but apply to other models as well. |
hep-th/0210011 | null | Natxo Alonso-Alberca and Tomas Ortin | Gauged/Massive Supergravities in Diverse Dimensions | Latex2e file, 32 pages | Nucl.Phys. B651 (2003) 263-290 | 10.1016/S0550-3213(02)01125-2 | IFT-UAM/CSIC-02-18 | hep-th | null | We show how massive/gauged maximal supergravities in 11-n dimensions with
SO(n-l,l) gauge groups (and other non-semisimple subgroups of Sl(n,R)) can be
systematically obtained by dimensional reduction of ``massive 11-dimensional
supergravity''. This series of massive/gauged supergravities includes, for
instance, Romans' massive N=2A,d=10 supergravity for n=1, N=2,d=9 SO(2) and
SO(1,1) gauged supergravities for n=2, and N=8,d=5 SO(6-l,l) gauged
supergravity. In all cases, higher p-form fields get masses through the
Stuckelberg mechanism which is an alternative to self-duality in odd
dimensions.
| [
{
"created": "Tue, 1 Oct 2002 21:13:42 GMT",
"version": "v1"
}
] | 2010-04-05 | [
[
"Alonso-Alberca",
"Natxo",
""
],
[
"Ortin",
"Tomas",
""
]
] | We show how massive/gauged maximal supergravities in 11-n dimensions with SO(n-l,l) gauge groups (and other non-semisimple subgroups of Sl(n,R)) can be systematically obtained by dimensional reduction of ``massive 11-dimensional supergravity''. This series of massive/gauged supergravities includes, for instance, Romans' massive N=2A,d=10 supergravity for n=1, N=2,d=9 SO(2) and SO(1,1) gauged supergravities for n=2, and N=8,d=5 SO(6-l,l) gauged supergravity. In all cases, higher p-form fields get masses through the Stuckelberg mechanism which is an alternative to self-duality in odd dimensions. |
1203.3941 | Thorsten Battefeld | Diana Battefeld, Thorsten Battefeld, Sebastian Schulz | On the Unlikeliness of Multi-Field Inflation: Bounded Random Potentials
and our Vacuum | 32 pages, 5 figures; v4: identical to published version (typos
corrected) | JCAP 06 (2012) 034 | 10.1088/1475-7516/2012/06/034 | null | hep-th astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on random matrix theory, we compute the likelihood of saddles and
minima in a class of random potentials that are softly bounded from above and
below, as required for the validity of low energy effective theories. Imposing
this bound leads to a random mass matrix with non-zero mean of its entries. If
the dimensionality of field-space is large, inflation is rare, taking place
near a saddle point (if at all), since saddles are more likely than minima or
maxima for common values of the potential. Due to the boundedness of the
potential, the latter become more ubiquitous for rare low/large values
respectively. Based on the observation of a positive cosmological constant, we
conclude that the dimensionality of field-space after (and most likely during)
inflation has to be low if no anthropic arguments are invoked, since the
alternative, encountering a metastable deSitter vacuum by chance, is extremely
unlikely.
| [
{
"created": "Sun, 18 Mar 2012 11:31:56 GMT",
"version": "v1"
},
{
"created": "Thu, 5 Apr 2012 08:54:42 GMT",
"version": "v2"
},
{
"created": "Fri, 25 May 2012 17:11:00 GMT",
"version": "v3"
},
{
"created": "Thu, 21 Jun 2012 13:53:39 GMT",
"version": "v4"
}
] | 2012-06-22 | [
[
"Battefeld",
"Diana",
""
],
[
"Battefeld",
"Thorsten",
""
],
[
"Schulz",
"Sebastian",
""
]
] | Based on random matrix theory, we compute the likelihood of saddles and minima in a class of random potentials that are softly bounded from above and below, as required for the validity of low energy effective theories. Imposing this bound leads to a random mass matrix with non-zero mean of its entries. If the dimensionality of field-space is large, inflation is rare, taking place near a saddle point (if at all), since saddles are more likely than minima or maxima for common values of the potential. Due to the boundedness of the potential, the latter become more ubiquitous for rare low/large values respectively. Based on the observation of a positive cosmological constant, we conclude that the dimensionality of field-space after (and most likely during) inflation has to be low if no anthropic arguments are invoked, since the alternative, encountering a metastable deSitter vacuum by chance, is extremely unlikely. |
hep-th/0308193 | Euro Spallucci | Anais Smailagic, Euro Spallucci | UV divergence-free QFT on noncommutative plane | 6 pages, Latex, no figures. Accepted for publication in J.Phys.A. New
references added | J.Phys. A36 (2003) L517-L521 | 10.1088/0305-4470/36/39/103 | null | hep-th | null | We formulate Noncommutative Qauntum Field Theory in terms of fields defined
as mean value over coherent states of the noncommutative plane. No *-product is
needed in this formulation and noncommutativity is carried by a modified
Fourier transform of fields. As a result the theory is UV finite and the cutoff
is provided by the noncommutative parameter theta.
| [
{
"created": "Thu, 28 Aug 2003 08:59:23 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Aug 2003 14:55:51 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Smailagic",
"Anais",
""
],
[
"Spallucci",
"Euro",
""
]
] | We formulate Noncommutative Qauntum Field Theory in terms of fields defined as mean value over coherent states of the noncommutative plane. No *-product is needed in this formulation and noncommutativity is carried by a modified Fourier transform of fields. As a result the theory is UV finite and the cutoff is provided by the noncommutative parameter theta. |
2104.08288 | Marco Scalisi | Niccol\`o Cribiori, Dieter Lust, Marco Scalisi | The Gravitino and the Swampland | 43 pages including 2 appendices, 1 figure; v2: figure, minor
clarifications, note and refs added; v3: minor typos fixed. JHEP version | JHEP06(2021)071 | 10.1007/JHEP06(2021)071 | LMU-ASC 10/21, MPP-2021-62 | hep-th astro-ph.CO gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose a new swampland conjecture stating that the limit of vanishing
gravitino mass corresponds to the massless limit of an infinite tower of states
and to the consequent breakdown of the effective field theory. We test our
proposal in large classes of models coming from compactification of string
theory to four dimensions, where we identify the Kaluza-Klein nature of the
tower of states becoming light. We point out a general relation between the
gravitino mass and abelian gauge coupling in models with extended
supersymmetry, which can survive also in examples with minimal supersymmetry.
This allows us to connect our conjecture to other well established swampland
conjectures, such as the weak gravity conjecture or the absence of global
symmetries in quantum gravity. We discuss phenomenological implications of our
conjecture in (quasi-)de Sitter backgrounds and extract a lower bound for the
gravitino mass in terms of the Hubble parameter.
| [
{
"created": "Fri, 16 Apr 2021 18:00:02 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Apr 2021 16:38:35 GMT",
"version": "v2"
},
{
"created": "Wed, 23 Jun 2021 13:54:11 GMT",
"version": "v3"
}
] | 2021-06-24 | [
[
"Cribiori",
"Niccolò",
""
],
[
"Lust",
"Dieter",
""
],
[
"Scalisi",
"Marco",
""
]
] | We propose a new swampland conjecture stating that the limit of vanishing gravitino mass corresponds to the massless limit of an infinite tower of states and to the consequent breakdown of the effective field theory. We test our proposal in large classes of models coming from compactification of string theory to four dimensions, where we identify the Kaluza-Klein nature of the tower of states becoming light. We point out a general relation between the gravitino mass and abelian gauge coupling in models with extended supersymmetry, which can survive also in examples with minimal supersymmetry. This allows us to connect our conjecture to other well established swampland conjectures, such as the weak gravity conjecture or the absence of global symmetries in quantum gravity. We discuss phenomenological implications of our conjecture in (quasi-)de Sitter backgrounds and extract a lower bound for the gravitino mass in terms of the Hubble parameter. |
1508.06730 | Shibaji Roy | Shibaji Roy | Non-susy D3 brane and an interpolating solution between AdS$_5$ black
hole, AdS$_5$ soliton and a `soft-wall' gravity solution | 20 pages, no figures | JHEP10 (2015) 113 | 10.1007/JHEP10(2015)113 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known from the work in \cite{Lu:2007bu} of Lu et. al. that the
non-supersymmetric charged D3-brane (with anisotropies in time as well as one
of the spatial directions of D3-brane) of type IIB string theory is
characterized by five independent parameters. By fixing one of the parameters
and zooming into a particular region of space-time we construct a four
parameter family of solution in AdS$_5$, which interpolates between AdS$_5$
black hole and AdS$_5$ soliton (when one of spatial directions in the Poincare
coordinates is compact) by continuously changing the parameters (there is no
need to take a double Wick rotation as is usual to go from one solution to the
other) from one set of values to another. We consider two cases. In the first
case the dilaton is constant for this transition and there are only three
independent parameters, whereas in the second case the dilaton varies and there
are four independent parameters. In the latter case, the solution interpolates
between AdS$_5$ black hole, AdS$_5$ soliton as well as the so-called
`soft-wall' gravity solution of AdS/QCD model. We also compare our solution to
the previously obtained Constable-Myers solution which is helpful in
generalizing the solution for other D$p$ (for $p\neq 3$) branes.
| [
{
"created": "Thu, 27 Aug 2015 06:43:55 GMT",
"version": "v1"
}
] | 2020-11-10 | [
[
"Roy",
"Shibaji",
""
]
] | It is known from the work in \cite{Lu:2007bu} of Lu et. al. that the non-supersymmetric charged D3-brane (with anisotropies in time as well as one of the spatial directions of D3-brane) of type IIB string theory is characterized by five independent parameters. By fixing one of the parameters and zooming into a particular region of space-time we construct a four parameter family of solution in AdS$_5$, which interpolates between AdS$_5$ black hole and AdS$_5$ soliton (when one of spatial directions in the Poincare coordinates is compact) by continuously changing the parameters (there is no need to take a double Wick rotation as is usual to go from one solution to the other) from one set of values to another. We consider two cases. In the first case the dilaton is constant for this transition and there are only three independent parameters, whereas in the second case the dilaton varies and there are four independent parameters. In the latter case, the solution interpolates between AdS$_5$ black hole, AdS$_5$ soliton as well as the so-called `soft-wall' gravity solution of AdS/QCD model. We also compare our solution to the previously obtained Constable-Myers solution which is helpful in generalizing the solution for other D$p$ (for $p\neq 3$) branes. |
hep-th/0005004 | Carlos A. S. Almeida | M. A. M. Gomes, R. R. Landim, C. A. S. Almeida (Departamento de
Fisica-UFC-Brazil) | A superspace gauge-invariant formulation of a massive tridimensional
2-form field | 9 pages, no figures, Revtex | Phys.Rev.D63:025005,2001 | 10.1103/PhysRevD.63.025005 | null | hep-th | null | By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a
manifestly N=1 supersymmetric completion of a massive antisymmetric tensor
gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a
new topological term is used to give mass for the Kalb-Ramond field. We have
introduced a massive gauge invariant model using the Stuckelberg formalism and
an abelian topologically massive theory for the Kalb-Ramond superfield. An
equivalence of both massive models is suggested. Further, a component field
analysis is performed, showing a second supersymmetry in the model.
| [
{
"created": "Sun, 30 Apr 2000 02:18:59 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Gomes",
"M. A. M.",
"",
"Departamento de\n Fisica-UFC-Brazil"
],
[
"Landim",
"R. R.",
"",
"Departamento de\n Fisica-UFC-Brazil"
],
[
"Almeida",
"C. A. S.",
"",
"Departamento de\n Fisica-UFC-Brazil"
]
] | By dimensional reduction of a massive supersymmetric B$\wedge $F theory, a manifestly N=1 supersymmetric completion of a massive antisymmetric tensor gauge theory is constructed in (2+1) dimensions. In the N=1-D=3 superspace, a new topological term is used to give mass for the Kalb-Ramond field. We have introduced a massive gauge invariant model using the Stuckelberg formalism and an abelian topologically massive theory for the Kalb-Ramond superfield. An equivalence of both massive models is suggested. Further, a component field analysis is performed, showing a second supersymmetry in the model. |
0903.2399 | Dean Robinson | Dean J. Robinson, Eliot Kapit and Andre LeClair | Lorentz Symmetric Quantum Field Theory for Symplectic Fermions | 11 pages. v2 with extra material | J.Math.Phys.50:112301,2009 | 10.1063/1.3248256 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A free quantum field theory with Lorentz symmetry is derived for spin-half
symplectic fermions in 2+1 dimensions. In particular, we show that fermionic
spin-half fields may be canonically quantized in a free theory with a
Klein-Gordon Lagrangian. This theory is shown to have all the required
properties of a consistent free quantum field theory, namely causality,
unitarity, adherence to the spin-statistics theorem, CPT symmetry, and the
Hermiticity and positive definiteness of the Hamiltonian. The global symmetry
of the free theory is Sp(4) $\simeq$ SO(5). Possible interacting theories of
both the pseudo-Hermitian and Hermitian variety are then examined briefly.
| [
{
"created": "Fri, 13 Mar 2009 14:48:18 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Sep 2009 19:57:59 GMT",
"version": "v2"
}
] | 2010-01-07 | [
[
"Robinson",
"Dean J.",
""
],
[
"Kapit",
"Eliot",
""
],
[
"LeClair",
"Andre",
""
]
] | A free quantum field theory with Lorentz symmetry is derived for spin-half symplectic fermions in 2+1 dimensions. In particular, we show that fermionic spin-half fields may be canonically quantized in a free theory with a Klein-Gordon Lagrangian. This theory is shown to have all the required properties of a consistent free quantum field theory, namely causality, unitarity, adherence to the spin-statistics theorem, CPT symmetry, and the Hermiticity and positive definiteness of the Hamiltonian. The global symmetry of the free theory is Sp(4) $\simeq$ SO(5). Possible interacting theories of both the pseudo-Hermitian and Hermitian variety are then examined briefly. |
1310.7142 | Behnam Pourhassan | J. Sadeghi, B. Pourhassan, H. Farahani | Rotating charged hairy black hole in (2+1) dimensions and particle
acceleration | 12 pages | Commun. Theor. Phys. 62 (2014) 358 | 10.1088/0253-6102/62/3/12 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we construct rotating charged hairy black hole in (2+1)
dimensions for infinitesimal black hole charge and rotation parameters. Then we
consider this black hole as particle accelerator and calculate the
center-of-mass energy of two colliding test particles near the rotating charged
hairy black hole in (2+1) dimensions. As we expected, the center-of-mass energy
has infinite value.
| [
{
"created": "Sat, 26 Oct 2013 19:13:59 GMT",
"version": "v1"
}
] | 2015-06-17 | [
[
"Sadeghi",
"J.",
""
],
[
"Pourhassan",
"B.",
""
],
[
"Farahani",
"H.",
""
]
] | In this paper we construct rotating charged hairy black hole in (2+1) dimensions for infinitesimal black hole charge and rotation parameters. Then we consider this black hole as particle accelerator and calculate the center-of-mass energy of two colliding test particles near the rotating charged hairy black hole in (2+1) dimensions. As we expected, the center-of-mass energy has infinite value. |
2203.03096 | Chris Waddell | Chris Waddell | Bottom-up holographic models for cosmology | Minor typos corrected in Section 3, and Appendices A and C | null | 10.1007/JHEP09(2022)176 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this note, we investigate some simple generalizations of a bottom-up
holographic approach to cosmology introduced in arXiv:1810.10601. Our models
utilize the Karch/Randall/Takayanagi ansatz for the gravitational dual of a
boundary conformal field theory, involving pure AdS gravity and an
end-of-the-world brane. Following a suggestion made in arXiv:2102.05057, we
consider models with an additional interface brane in the bulk. We find that
solutions with a viable cosmological interpretation exist only if our model is
further generalized, for example by including an Einstein-Hilbert term in the
ETW brane action. The physical validity of such models is discussed from the
perspective of the effective theory.
| [
{
"created": "Mon, 7 Mar 2022 02:04:03 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Apr 2022 22:30:48 GMT",
"version": "v2"
},
{
"created": "Sun, 28 Aug 2022 23:43:42 GMT",
"version": "v3"
},
{
"created": "Thu, 1 Sep 2022 17:19:50 GMT",
"version": "v4"
}
] | 2022-10-19 | [
[
"Waddell",
"Chris",
""
]
] | In this note, we investigate some simple generalizations of a bottom-up holographic approach to cosmology introduced in arXiv:1810.10601. Our models utilize the Karch/Randall/Takayanagi ansatz for the gravitational dual of a boundary conformal field theory, involving pure AdS gravity and an end-of-the-world brane. Following a suggestion made in arXiv:2102.05057, we consider models with an additional interface brane in the bulk. We find that solutions with a viable cosmological interpretation exist only if our model is further generalized, for example by including an Einstein-Hilbert term in the ETW brane action. The physical validity of such models is discussed from the perspective of the effective theory. |
hep-th/0106205 | Harold Steinacker | Chong-Sun Chu, John Madore, Harold Steinacker | Scaling Limits of the Fuzzy Sphere at one Loop | 16 pages. v2: add remarks on p.6, footnotes on p.6 and p.9 clarified
in response to the referee suggestions for clearer presentation. To appear in
JHEP | JHEP 0108 (2001) 038 | 10.1088/1126-6708/2001/08/038 | LMU-TPW 07/01, LPT-ORSAY 01-61 | hep-th | null | We study the one loop dynamics of QFT on the fuzzy sphere and calculate the
planar and nonplanar contributions to the two point function at one loop. We
show that there is no UV/IR mixing on the fuzzy sphere. The fuzzy sphere is
characterized by two moduli: a dimensionless parameter N and a dimensionful
radius R. Different geometrical phases can obtained at different corners of the
moduli space. In the limit of the commutative sphere, we find that the two
point function is regular without UV/IR mixing; however quantization does not
commute with the commutative limit, and a finite ``noncommutative anomaly''
survives in the commutative limit. In a different limit, the noncommutative
plane R^2_theta is obtained, and the UV/IR mixing reappears. This provides an
explanation of the UV/IR mixing as an infinite variant of the ``noncommutative
anomaly''.
| [
{
"created": "Fri, 22 Jun 2001 11:38:21 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Aug 2001 20:31:29 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Chu",
"Chong-Sun",
""
],
[
"Madore",
"John",
""
],
[
"Steinacker",
"Harold",
""
]
] | We study the one loop dynamics of QFT on the fuzzy sphere and calculate the planar and nonplanar contributions to the two point function at one loop. We show that there is no UV/IR mixing on the fuzzy sphere. The fuzzy sphere is characterized by two moduli: a dimensionless parameter N and a dimensionful radius R. Different geometrical phases can obtained at different corners of the moduli space. In the limit of the commutative sphere, we find that the two point function is regular without UV/IR mixing; however quantization does not commute with the commutative limit, and a finite ``noncommutative anomaly'' survives in the commutative limit. In a different limit, the noncommutative plane R^2_theta is obtained, and the UV/IR mixing reappears. This provides an explanation of the UV/IR mixing as an infinite variant of the ``noncommutative anomaly''. |
hep-th/0207032 | Matthias R. Gaberdiel | Matthias R Gaberdiel and Peter C West | Kac-Moody algebras in perturbative string theory | 31 pages, harvmac (b), 4 eps-figures | JHEP 0208 (2002) 049 | 10.1088/1126-6708/2002/08/049 | KCL-MTH-02-16 | hep-th | null | The conjecture that M-theory has the rank eleven Kac-Moody symmetry e11
implies that Type IIA and Type IIB string theories in ten dimensions possess
certain infinite dimensional perturbative symmetry algebras that we determine.
This prediction is compared with the symmetry algebras that can be constructed
in perturbative string theory, using the closed string analogues of the DDF
operators. Within the limitations of this construction close agreement is
found. We also perform the analogous analysis for the case of the closed
bosonic string.
| [
{
"created": "Wed, 3 Jul 2002 16:33:18 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Gaberdiel",
"Matthias R",
""
],
[
"West",
"Peter C",
""
]
] | The conjecture that M-theory has the rank eleven Kac-Moody symmetry e11 implies that Type IIA and Type IIB string theories in ten dimensions possess certain infinite dimensional perturbative symmetry algebras that we determine. This prediction is compared with the symmetry algebras that can be constructed in perturbative string theory, using the closed string analogues of the DDF operators. Within the limitations of this construction close agreement is found. We also perform the analogous analysis for the case of the closed bosonic string. |
2111.08385 | Dario Zappala | Dario Zappala | Ultraviolet properties of Lifshitz-type scalar field theories | Published version. 15 pages, 3 figures | Eur. Phys. J. C 82, 341 (2022) | 10.1140/epjc/s10052-022-10309-w | null | hep-th hep-ph | http://creativecommons.org/publicdomain/zero/1.0/ | We consider Lifshitz-type scalar field theories that exhibit anisotropic
scaling laws near the ultraviolet fixed point, with explicit breaking of
Lorentz symmetry. It is shown that, when all momentum dependent vertex
operators are discarded, actions with anisotropy parameter z=3 in 3+1
dimensions generate Lorentz symmetry violating quantum corrections that are
suppressed by inverse powers of the momentum, so that the symmetry is sensibly
restored in the infrared region. In the ultraviolet region, the singular
behavior of the corrections is strongly smoothened: only logarithmic
divergences show up, producing very small changes of the couplings over a range
of momentum of many orders of magnitude. In the particular case where all
couplings are equal, the theory shows a Liouville-like potential and quantum
corrections are exactly summable, giving an asymptotically free theory.
However, the observed weakening of the divergences is not sufficient to avoid a
residual fine tuning of the mass parameter at a very high energy scale, in
order to recover a physically acceptable mass in the infrared region.
| [
{
"created": "Tue, 16 Nov 2021 11:31:26 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Apr 2022 11:03:13 GMT",
"version": "v2"
}
] | 2022-04-25 | [
[
"Zappala",
"Dario",
""
]
] | We consider Lifshitz-type scalar field theories that exhibit anisotropic scaling laws near the ultraviolet fixed point, with explicit breaking of Lorentz symmetry. It is shown that, when all momentum dependent vertex operators are discarded, actions with anisotropy parameter z=3 in 3+1 dimensions generate Lorentz symmetry violating quantum corrections that are suppressed by inverse powers of the momentum, so that the symmetry is sensibly restored in the infrared region. In the ultraviolet region, the singular behavior of the corrections is strongly smoothened: only logarithmic divergences show up, producing very small changes of the couplings over a range of momentum of many orders of magnitude. In the particular case where all couplings are equal, the theory shows a Liouville-like potential and quantum corrections are exactly summable, giving an asymptotically free theory. However, the observed weakening of the divergences is not sufficient to avoid a residual fine tuning of the mass parameter at a very high energy scale, in order to recover a physically acceptable mass in the infrared region. |
hep-th/0606156 | Dan Gorbonos | Amit Giveon, Dan Gorbonos | On Black Fundamental Strings | 17 pages, v2: published version | JHEP0610:038,2006 | 10.1088/1126-6708/2006/10/038 | null | hep-th | null | We study aspects of four dimensional black holes with two electric charges,
corresponding to fundamental strings with generic momentum and winding on an
internal circle. The perturbative \alpha' correction to such black holes and
their gravitational thermodynamics is obtained.
| [
{
"created": "Fri, 16 Jun 2006 15:53:47 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Oct 2006 22:32:45 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Giveon",
"Amit",
""
],
[
"Gorbonos",
"Dan",
""
]
] | We study aspects of four dimensional black holes with two electric charges, corresponding to fundamental strings with generic momentum and winding on an internal circle. The perturbative \alpha' correction to such black holes and their gravitational thermodynamics is obtained. |
hep-th/9504095 | Paul Townsend | P.K. Townsend | String-Membrane Duality in Seven Dimensions | The original version of this paper dealt mostly with one side of
string-membrane duality: the solitonic interpretation of the heterotic string
as a $K_3$ compactified D=11 superfivebrane. The revised version includes a
discussion of the converse prediction: that the supermembrane has a solitonic
interpretation as a $T^3$ compactified heterotic fivebrane. It also includes
a discussion of D=8 membrane-membrane duality, and various changes to the
references | Phys.Lett.B354:247-255,1995 | 10.1016/0370-2693(95)00649-6 | DAMTP, R/95/15 | hep-th | null | The conjectured equivalence of the heterotic string to a $K_3$ compactified
type IIA superstring is combined with the conjectured equivalence of the latter
to a compactified 11-dimensional supermembrane to derive a string membrane
duality in seven dimensions; the membrane is a soliton of the string theory and
vice versa. A prediction of this duality is that the heterotic string is a
$K_3$ compactification of the solitonic 11-dimensional fivebrane. It is
verified that the worldsheet action of the D=10 heterotic string is indeed
obtainable by $K_3$ compactification of the worldvolume action of the
11-dimensional fivebrane, and it is suggested how the worldvolume action of the
D=11 supermebrane may be similarly obtained by $T^3$ compactification of the
worldvolume action of a D=10 heterotic fivebrane. Generalizations to $D=8$
string-threebrane and membrane-membrane duality are also discussed.
| [
{
"created": "Tue, 18 Apr 1995 12:22:24 GMT",
"version": "v1"
},
{
"created": "Wed, 10 May 1995 16:41:11 GMT",
"version": "v2"
}
] | 2010-11-01 | [
[
"Townsend",
"P. K.",
""
]
] | The conjectured equivalence of the heterotic string to a $K_3$ compactified type IIA superstring is combined with the conjectured equivalence of the latter to a compactified 11-dimensional supermembrane to derive a string membrane duality in seven dimensions; the membrane is a soliton of the string theory and vice versa. A prediction of this duality is that the heterotic string is a $K_3$ compactification of the solitonic 11-dimensional fivebrane. It is verified that the worldsheet action of the D=10 heterotic string is indeed obtainable by $K_3$ compactification of the worldvolume action of the 11-dimensional fivebrane, and it is suggested how the worldvolume action of the D=11 supermebrane may be similarly obtained by $T^3$ compactification of the worldvolume action of a D=10 heterotic fivebrane. Generalizations to $D=8$ string-threebrane and membrane-membrane duality are also discussed. |
hep-th/9307088 | Barton Zwiebach | Ashoke Sen and Barton Zwiebach | A Proof of Local Background Independence of Classical Closed String
Field Theory | 69 pages, phyzzx.tex, (uses epsf.tex for figures), MIT-CTP-2222 | Nucl.Phys.B414:649-714,1994 | 10.1016/0550-3213(94)90258-5 | null | hep-th | null | We give a complete proof of local background independence of the classical
master action for closed strings by constructing explicitly, for any two nearby
conformal theories in a CFT theory space, a symplectic diffeomorphism between
their state spaces mapping the corresponding non-polynomial string actions into
each other. We uncover a new family of string vertices, the lowest of which is
a three string vertex satisfying exact Jacobi identities with respect to the
original closed string vertices. The homotopies between the two sets of string
vertices determine the diffeomorphism establishing background independence. The
linear part of the diffeomorphism is implemented by a CFT theory-space
connection determined by the off-shell three closed string vertex, showing how
string field theory induces a natural interplay between Riemann surface
geometry and CFT theory space geometry. (Three figures are contained in a
separate tar compressed uuencoded figures file. See the TeX file for
instructions for printing the figures.)
| [
{
"created": "Tue, 13 Jul 1993 16:00:15 GMT",
"version": "v1"
}
] | 2009-09-15 | [
[
"Sen",
"Ashoke",
""
],
[
"Zwiebach",
"Barton",
""
]
] | We give a complete proof of local background independence of the classical master action for closed strings by constructing explicitly, for any two nearby conformal theories in a CFT theory space, a symplectic diffeomorphism between their state spaces mapping the corresponding non-polynomial string actions into each other. We uncover a new family of string vertices, the lowest of which is a three string vertex satisfying exact Jacobi identities with respect to the original closed string vertices. The homotopies between the two sets of string vertices determine the diffeomorphism establishing background independence. The linear part of the diffeomorphism is implemented by a CFT theory-space connection determined by the off-shell three closed string vertex, showing how string field theory induces a natural interplay between Riemann surface geometry and CFT theory space geometry. (Three figures are contained in a separate tar compressed uuencoded figures file. See the TeX file for instructions for printing the figures.) |
1310.2034 | Govindarajan Thupil Dr | T.R. Govindarajan and V.P. Nair | Quantum field theories with boundaries and novel instabilities | 17 pages, 4 figures, accepted PRD version | Phys. Rev. D 89, 025020 (2014) | 10.1103/PhysRevD.89.025020 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Quantum physics on manifolds with boundary brings novel aspects due to
boundary conditions. One important feature is the appearance of localised
negative eigenmodes for the Laplacian on the boundary. These can potentially
lead to instabilities. We consider quantum field theories on such manifolds and
interpret these as leading to the onset of phase transitions.
| [
{
"created": "Tue, 8 Oct 2013 08:21:11 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Dec 2013 07:03:50 GMT",
"version": "v2"
}
] | 2014-02-05 | [
[
"Govindarajan",
"T. R.",
""
],
[
"Nair",
"V. P.",
""
]
] | Quantum physics on manifolds with boundary brings novel aspects due to boundary conditions. One important feature is the appearance of localised negative eigenmodes for the Laplacian on the boundary. These can potentially lead to instabilities. We consider quantum field theories on such manifolds and interpret these as leading to the onset of phase transitions. |
1706.02868 | Giacomo Rosati | Giacomo Rosati | $\kappa$-de Sitter and $\kappa$-Poincar\'e symmetries emerging from
Chern-Simons (2+1)D gravity with a cosmological constant | This is an improved version after the journal reviewing process | Phys. Rev. D 96, 066027 (2017) | 10.1103/PhysRevD.96.066027 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Defining a new r-matrix compatible with the scalar product at the basis of
the Chern-Simons action for a particle coupled to (2+1) Lorentzian gravity with
cosmological constant, I show how deformed symmetries of $\kappa$-de Sitter
and, in the vanishing cosmological limit, of $\kappa$-Poincar\'e kind, arise
naturally as quantum-deformation of three dimensional gravity. I obtain
moreover the non-commutative spacetime associated to these kinds of symmetries.
| [
{
"created": "Fri, 9 Jun 2017 08:50:23 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jun 2017 16:49:17 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Sep 2017 14:50:02 GMT",
"version": "v3"
}
] | 2017-09-27 | [
[
"Rosati",
"Giacomo",
""
]
] | Defining a new r-matrix compatible with the scalar product at the basis of the Chern-Simons action for a particle coupled to (2+1) Lorentzian gravity with cosmological constant, I show how deformed symmetries of $\kappa$-de Sitter and, in the vanishing cosmological limit, of $\kappa$-Poincar\'e kind, arise naturally as quantum-deformation of three dimensional gravity. I obtain moreover the non-commutative spacetime associated to these kinds of symmetries. |
1008.4361 | Joseph Conlon | Joseph P. Conlon, Mark Goodsell, Eran Palti | Anomaly Mediation in Superstring Theory | 82 pages, 4 figures | Fortsch.Phys.59:5-75,2011 | 10.1002/prop.201000087 | CPHT-RR056.0810, DESY 10-135, OUTP-10/21P | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study anomaly mediated supersymmetry breaking in type IIB string theory
and use our results to test the supergravity formula for anomaly mediated
gaugino masses. We compute 1-loop gaugino masses for models of D3-branes on
orbifold singularities with 3-form fluxes by calculating the annulus correlator
of 3-form flux and two gauginos in the zero momentum limit. Consistent with
supergravity expectations we find both anomalous and running contributions to
1-loop gaugino masses. For background Neveu-Schwarz H-flux we find an exact
match with the supergravity formula. For Ramond-Ramond flux there is an
off-shell ambiguity that precludes a full matching. The anomaly mediated
gaugino masses, while determined by the infrared spectrum, arise from an
explicit sum over UV open string winding modes. We also calculate
brane-to-brane tree-level gravity mediated gaugino masses and show that there
are two contributions coming from the dilaton and from the twisted modes, which
are suppressed by the full T^6 volume and the untwisted T^2 volume
respectively.
| [
{
"created": "Wed, 25 Aug 2010 20:02:05 GMT",
"version": "v1"
}
] | 2011-10-06 | [
[
"Conlon",
"Joseph P.",
""
],
[
"Goodsell",
"Mark",
""
],
[
"Palti",
"Eran",
""
]
] | We study anomaly mediated supersymmetry breaking in type IIB string theory and use our results to test the supergravity formula for anomaly mediated gaugino masses. We compute 1-loop gaugino masses for models of D3-branes on orbifold singularities with 3-form fluxes by calculating the annulus correlator of 3-form flux and two gauginos in the zero momentum limit. Consistent with supergravity expectations we find both anomalous and running contributions to 1-loop gaugino masses. For background Neveu-Schwarz H-flux we find an exact match with the supergravity formula. For Ramond-Ramond flux there is an off-shell ambiguity that precludes a full matching. The anomaly mediated gaugino masses, while determined by the infrared spectrum, arise from an explicit sum over UV open string winding modes. We also calculate brane-to-brane tree-level gravity mediated gaugino masses and show that there are two contributions coming from the dilaton and from the twisted modes, which are suppressed by the full T^6 volume and the untwisted T^2 volume respectively. |
2401.01254 | Stefano Giusto | Stefano Giusto and Alessandro Rosso | The geometry of large charge multi-traces in $\mathcal{N}=4$ SYM | 36 pages, 1 figure | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a one-parameter family of half-BPS solutions of type IIB
supergravity using a consistent truncation to gauged five-dimensional
supergravity. For small values of the parameter, the solution reduces to the
linear perturbation of AdS$_5\times S^5$ dual to the chiral primary operator in
the stress-tensor multiplet, and we give evidence that the geometry is regular
and asymptotes AdS in a normalisable way for arbitrarily large values of the
parameter. We conjecture that the solution is the gravity dual of a ``heavy"
multi-trace operator in $\mathcal{N}=4$ $SU(N)$ Super Yang-Mills made by $p$
copies of the stress-tensor chiral primary operator, with $p$ of order $N^2$ in
the large $N$ limit. We perform some holographic checks supporting this duality
map.
| [
{
"created": "Tue, 2 Jan 2024 15:42:15 GMT",
"version": "v1"
}
] | 2024-01-03 | [
[
"Giusto",
"Stefano",
""
],
[
"Rosso",
"Alessandro",
""
]
] | We construct a one-parameter family of half-BPS solutions of type IIB supergravity using a consistent truncation to gauged five-dimensional supergravity. For small values of the parameter, the solution reduces to the linear perturbation of AdS$_5\times S^5$ dual to the chiral primary operator in the stress-tensor multiplet, and we give evidence that the geometry is regular and asymptotes AdS in a normalisable way for arbitrarily large values of the parameter. We conjecture that the solution is the gravity dual of a ``heavy" multi-trace operator in $\mathcal{N}=4$ $SU(N)$ Super Yang-Mills made by $p$ copies of the stress-tensor chiral primary operator, with $p$ of order $N^2$ in the large $N$ limit. We perform some holographic checks supporting this duality map. |
hep-th/0011292 | S. Korden | S. Korden | W Algebras from AdS/CFT Correspondence | 49 pages | null | null | null | hep-th | null | We consider a system of D5/D1 branes in the supergravity background
AdS_3xS^3xX, where X is T^4 or K3. By investigating the structure of the
missing states in the conformal description, we are able to extend the AdS/CFT
correspondence to W algebras. As a test of this new formulation the results are
compared to Hilbert schemes and more general supergravity backgrounds as
deformations by D3-branes or six-dimensional Calabi-Yau manifolds.
| [
{
"created": "Thu, 30 Nov 2000 21:21:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Korden",
"S.",
""
]
] | We consider a system of D5/D1 branes in the supergravity background AdS_3xS^3xX, where X is T^4 or K3. By investigating the structure of the missing states in the conformal description, we are able to extend the AdS/CFT correspondence to W algebras. As a test of this new formulation the results are compared to Hilbert schemes and more general supergravity backgrounds as deformations by D3-branes or six-dimensional Calabi-Yau manifolds. |
2111.03778 | Daniel Flores | Fabrizio Canfora, Daniel Flores-Alfonso, Marcela Lagos, Aldo Vera | Analytic non-homogeneous condensates in the $(2+1)$-dimensional
Yang-Mills-Higgs-Chern-Simons theory at finite density | 25 pages, 4 figures, version accepted for publication in Physical
Review D | null | 10.1103/PhysRevD.104.125002 | null | hep-th hep-ph | http://creativecommons.org/licenses/by/4.0/ | We construct the first analytic examples of non-homogeneous condensates in
the Georgi-Glashow model at finite density in $(2+1)$ dimensions. The
non-homogeneous condensates, which live within a cylinder of finite spatial
volume, possess a novel topological charge that prevents them from decaying in
the trivial vacuum. Also the non-Abelian magnetic flux can be computed
explicitly. These solutions exist for constant and non-constant Higgs profile
and, depending on the length of the cylinder, finite density transitions occur.
In the case in which the Higgs profile is not constant, the full system of
coupled field equations reduce to the Lam\'e equation for the gauge field (the
Higgs field being an elliptic function). For large values of this length, the
energetically favored configuration is the one with a constant Higgs profile,
while, for small values, it is the one with non-constant Higgs profile. The
non-Abelian Chern-Simons term can also be included without spoiling the
integrability properties of these configurations. Finally, we study the
stability of the solutions under a particular type of perturbations.
| [
{
"created": "Sat, 6 Nov 2021 02:09:30 GMT",
"version": "v1"
}
] | 2021-12-15 | [
[
"Canfora",
"Fabrizio",
""
],
[
"Flores-Alfonso",
"Daniel",
""
],
[
"Lagos",
"Marcela",
""
],
[
"Vera",
"Aldo",
""
]
] | We construct the first analytic examples of non-homogeneous condensates in the Georgi-Glashow model at finite density in $(2+1)$ dimensions. The non-homogeneous condensates, which live within a cylinder of finite spatial volume, possess a novel topological charge that prevents them from decaying in the trivial vacuum. Also the non-Abelian magnetic flux can be computed explicitly. These solutions exist for constant and non-constant Higgs profile and, depending on the length of the cylinder, finite density transitions occur. In the case in which the Higgs profile is not constant, the full system of coupled field equations reduce to the Lam\'e equation for the gauge field (the Higgs field being an elliptic function). For large values of this length, the energetically favored configuration is the one with a constant Higgs profile, while, for small values, it is the one with non-constant Higgs profile. The non-Abelian Chern-Simons term can also be included without spoiling the integrability properties of these configurations. Finally, we study the stability of the solutions under a particular type of perturbations. |
1506.01899 | Rickmoy Samanta | Sachin Jain, Rickmoy Samanta, Sandip P. Trivedi | The Shear Viscosity in Anisotropic Phases | 30 pages + 4 page appendix, 3 figures, added references | JHEP 28 (2015) | 10.1007/JHEP10(2015)028 | TIFR/TH/15-17 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct anisotropic black brane solutions and analyse the behaviour of
some of their metric perturbations. These solutions correspond to field theory
duals in which rotational symmetry is broken due an externally applied,
spatially constant, force. We find, in several examples, that when the
anisotropy is sufficiently big compared to the temperature, some components of
the viscosity tensor can become very small in units of the entropy density,
parametrically violating the KSS bound. We obtain an expression relating these
components of the viscosity, in units of the entropy density, to a ratio of
metric components at the horizon of the black brane. This relation is generally
valid, as long as the forcing function is translationally invariant, and it
directly connects the parametric violation of the bound to the anisotropy in
the metric at the horizon. Our results suggest the possibility that such small
components of the viscosity tensor might also arise in anisotropic strongly
coupled fluids found in nature.
| [
{
"created": "Fri, 5 Jun 2015 13:17:34 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2015 17:57:28 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Nov 2015 18:22:34 GMT",
"version": "v3"
}
] | 2022-11-21 | [
[
"Jain",
"Sachin",
""
],
[
"Samanta",
"Rickmoy",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We construct anisotropic black brane solutions and analyse the behaviour of some of their metric perturbations. These solutions correspond to field theory duals in which rotational symmetry is broken due an externally applied, spatially constant, force. We find, in several examples, that when the anisotropy is sufficiently big compared to the temperature, some components of the viscosity tensor can become very small in units of the entropy density, parametrically violating the KSS bound. We obtain an expression relating these components of the viscosity, in units of the entropy density, to a ratio of metric components at the horizon of the black brane. This relation is generally valid, as long as the forcing function is translationally invariant, and it directly connects the parametric violation of the bound to the anisotropy in the metric at the horizon. Our results suggest the possibility that such small components of the viscosity tensor might also arise in anisotropic strongly coupled fluids found in nature. |
hep-th/0411155 | Wade Naylor | Wade Naylor and Misao Sasaki | Quantum Fluctuations for de Sitter Branes in Bulk AdS(5) | 14 pages, no figures, to appear in Prog. Theor. Phys | Prog.Theor.Phys.113:535-554,2005 | 10.1143/PTP.113.535 | YITP-04-65 | hep-th gr-qc | null | The vacuum expectation value of the square of the field fluctuations of a
scalar field on a background consisting of {\it two} de Sitter branes embedded
in an anti-de Sitter bulk are considered. We apply a dimensional reduction to
obtain an effective lower dimensional de Sitter space equation of motion with
associated Kaluza-Klein masses and canonical commutation relations. The case of
a scalar field obeying a restricted class of mass and curvature couplings,
including massless, conformal coupling as a special case, is considered. We
find that the local behaviour of the quantum fluctuations suffers from surface
divergences as we approach the brane, however, if the field is {\it
constrained} to its value on the brane from the beginning then surface
divergences disappear. The ratio of $<\phi^2>$ between the Kaluza-Klein
spectrum and the lowest eigenvalue mode is found to vanish in the limit that
one of the branes goes to infinity.
| [
{
"created": "Wed, 17 Nov 2004 09:01:57 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2005 08:13:47 GMT",
"version": "v2"
}
] | 2009-10-09 | [
[
"Naylor",
"Wade",
""
],
[
"Sasaki",
"Misao",
""
]
] | The vacuum expectation value of the square of the field fluctuations of a scalar field on a background consisting of {\it two} de Sitter branes embedded in an anti-de Sitter bulk are considered. We apply a dimensional reduction to obtain an effective lower dimensional de Sitter space equation of motion with associated Kaluza-Klein masses and canonical commutation relations. The case of a scalar field obeying a restricted class of mass and curvature couplings, including massless, conformal coupling as a special case, is considered. We find that the local behaviour of the quantum fluctuations suffers from surface divergences as we approach the brane, however, if the field is {\it constrained} to its value on the brane from the beginning then surface divergences disappear. The ratio of $<\phi^2>$ between the Kaluza-Klein spectrum and the lowest eigenvalue mode is found to vanish in the limit that one of the branes goes to infinity. |
2312.17165 | Sachin Grover | Sachin Grover, Subramanya Hegde, Dileep P. Jatkar | Duality defects in $D_n$-type Niemeier lattice CFTs | 39 pages, version to appear in JHEP | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the construction of duality defects in $c=24$ meromorphic CFTs
that correspond to Niemeier lattices. We will illustrate our constructions for
the $D_n$-type lattices. We will identify non-anomalous $\mathbb{Z}_2$
symmetries of these theories, and we show that on orbifolding with respect to
these symmetries, these theories map to each other. We investigate this map,
and in the case of self-dual orbifolds, we provide the duality defect partition
functions. We show that exchange automorphisms in some CFTs give rise to a new
class of defect partition functions.
| [
{
"created": "Thu, 28 Dec 2023 17:52:45 GMT",
"version": "v1"
},
{
"created": "Mon, 5 Feb 2024 18:36:44 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2024 17:39:21 GMT",
"version": "v3"
}
] | 2024-03-28 | [
[
"Grover",
"Sachin",
""
],
[
"Hegde",
"Subramanya",
""
],
[
"Jatkar",
"Dileep P.",
""
]
] | We discuss the construction of duality defects in $c=24$ meromorphic CFTs that correspond to Niemeier lattices. We will illustrate our constructions for the $D_n$-type lattices. We will identify non-anomalous $\mathbb{Z}_2$ symmetries of these theories, and we show that on orbifolding with respect to these symmetries, these theories map to each other. We investigate this map, and in the case of self-dual orbifolds, we provide the duality defect partition functions. We show that exchange automorphisms in some CFTs give rise to a new class of defect partition functions. |
hep-th/0002159 | Igor R. Klebanov | I.R. Klebanov and A.A. Tseytlin | Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories | 19 pages, harvmac; v2: a section added on the full 3-brane solution
(it looks like the conventional 3-brane solution with a logarithmically
running effective charge), references added | Nucl.Phys.B578:123-138,2000 | 10.1016/S0550-3213(00)00206-6 | PUPT-1919, OHSTPY-HEP-T-00-002 | hep-th | null | The world volume theory on N regular and M fractional D3-branes at the
conifold singularity is a non-conformal n=1 supersymmetric SU(N+M) x SU(N)
gauge theory. In previous work the Type IIB supergravity dual of this theory
was constructed to leading non-trivial order in M/N: it is the AdS_5 x T^{1,1}
background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual
description was shown to reproduce the logarithmic flow of couplings found in
the field theory. In this paper we study the supersymmetric RG flow at all
scales. We introduce an ansatz for the 10-d metric and other fields and show
that the equations of motion may be derived in first order form from a simple
superpotential. This allows us to explicitly solve for the gravity dual of the
RG trajectory.
| [
{
"created": "Fri, 18 Feb 2000 23:41:12 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Feb 2000 19:10:12 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Klebanov",
"I. R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | The world volume theory on N regular and M fractional D3-branes at the conifold singularity is a non-conformal n=1 supersymmetric SU(N+M) x SU(N) gauge theory. In previous work the Type IIB supergravity dual of this theory was constructed to leading non-trivial order in M/N: it is the AdS_5 x T^{1,1} background with NS-NS and R-R 2-form fields turned on. Far in the UV this dual description was shown to reproduce the logarithmic flow of couplings found in the field theory. In this paper we study the supersymmetric RG flow at all scales. We introduce an ansatz for the 10-d metric and other fields and show that the equations of motion may be derived in first order form from a simple superpotential. This allows us to explicitly solve for the gravity dual of the RG trajectory. |
0904.1595 | Hong Lu | H. Lu, Jianwei Mei and C.N. Pope | Solutions to Horava Gravity | Latex, 8 pages, version to appear in Phys. Rev. Lett | Phys.Rev.Lett.103:091301,2009 | 10.1103/PhysRevLett.103.091301 | MIFP-09-18 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently Horava proposed a non-relativistic renormalisable theory of
gravitation, which reduces to Einstein's general relativity at large distances,
and that may provide a candidate for a UV completion of Einstein's theory. In
this paper, we derive the full set of equations of motion, and then we obtain
spherically symmetric solutions and discuss their properties. We also obtain
solutions for the Friedman-Lemaitre-Robertson-Walker cosmological metric.
| [
{
"created": "Fri, 10 Apr 2009 19:47:05 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Apr 2009 23:27:14 GMT",
"version": "v2"
},
{
"created": "Mon, 4 May 2009 18:20:32 GMT",
"version": "v3"
},
{
"created": "Fri, 31 Jul 2009 07:04:10 GMT",
"version": "v4"
}
] | 2009-09-02 | [
[
"Lu",
"H.",
""
],
[
"Mei",
"Jianwei",
""
],
[
"Pope",
"C. N.",
""
]
] | Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper, we derive the full set of equations of motion, and then we obtain spherically symmetric solutions and discuss their properties. We also obtain solutions for the Friedman-Lemaitre-Robertson-Walker cosmological metric. |
1006.5710 | Markus Leder | Markus Leder, Jan M. Pawlowski, Hugo Reinhardt, Axel Weber | Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory | 17 pages, 10 figures | Phys.Rev.D83:025010,2011 | 10.1103/PhysRevD.83.025010 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We derive a new functional renormalization group equation for Hamiltonian
Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and
ghost propagators are solved under the assumption of ghost dominance within
different diagrammatic approximations. The results are compared to those
obtained in the variational approach and the reliability of the approximations
is discussed.
| [
{
"created": "Tue, 29 Jun 2010 19:58:05 GMT",
"version": "v1"
}
] | 2011-02-02 | [
[
"Leder",
"Markus",
""
],
[
"Pawlowski",
"Jan M.",
""
],
[
"Reinhardt",
"Hugo",
""
],
[
"Weber",
"Axel",
""
]
] | We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different diagrammatic approximations. The results are compared to those obtained in the variational approach and the reliability of the approximations is discussed. |
hep-th/0311249 | Takashi Tamaki | Takashi Tamaki, Sugumi Kanno and Jiro Soda | Radionic Non-uniform Black Strings --short version-- | 2 pages, 2 figures, for RESCEU6 | null | null | null | hep-th | null | Non-uniform black strings in the two-brane system are investigated using the
effective action approach. It is shown that the radion acts as a non-trivial
hair of black strings. The stability of solutions is demonstrated using the
catastrophe theory. The black strings are shown to be non-uniform.
| [
{
"created": "Wed, 26 Nov 2003 06:49:26 GMT",
"version": "v1"
},
{
"created": "Thu, 27 Nov 2003 05:37:05 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Tamaki",
"Takashi",
""
],
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
]
] | Non-uniform black strings in the two-brane system are investigated using the effective action approach. It is shown that the radion acts as a non-trivial hair of black strings. The stability of solutions is demonstrated using the catastrophe theory. The black strings are shown to be non-uniform. |
1501.03644 | Mauricio Valenzuela | Mauricio Valenzuela | From phase space to multivector matrix models | We modified the multi-vector matrix model adding new fermion terms.
Solutions are provided. The 3+1 dimensional case is explicitly given as an
example. Sections organization modified. 38 pages | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Combining elements of twistor-space, phase space and Clifford algebras, we
propose a framework for the construction and quantization of certain (quadric)
varieties described by Lorentz-covariant multivector coordiantes. The
correspondent multivectors can be parametrized by second order polynomials in
the phase space. Thus the multivectors play a double role, as covariant objects
in $D=2,3,4 \texttt{ Mod } 8$ space-time dimensions, and as mechanical
observables of a non-relativistic system in $2^{[D/2]-1}$ euclidean dimensions.
The latter attribute permits a dual interpretation of concepts of
non-relativistic mechanics as applying to relativistic space-time geometry.
Introducing the Groenewold-Moyal *-product and Wigner distributions in phase
space induces Lorentz-covariant non-commutativity and it provides the spectra
of geometrical observables. We propose also new (multivector) matrix models,
interpreted as descending from the interaction term of a Yang-Mills theory with
minimally coupled massive fermions, in the large-$N$ limit, which serves as a
physical model containing the constructed multivector (fuzzy) geometries. We
also include a section on speculative aspects on a possible cosmological effect
and the origin of space-time entropy.
| [
{
"created": "Thu, 15 Jan 2015 12:30:35 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Mar 2017 15:39:53 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Apr 2018 18:58:22 GMT",
"version": "v3"
}
] | 2018-04-11 | [
[
"Valenzuela",
"Mauricio",
""
]
] | Combining elements of twistor-space, phase space and Clifford algebras, we propose a framework for the construction and quantization of certain (quadric) varieties described by Lorentz-covariant multivector coordiantes. The correspondent multivectors can be parametrized by second order polynomials in the phase space. Thus the multivectors play a double role, as covariant objects in $D=2,3,4 \texttt{ Mod } 8$ space-time dimensions, and as mechanical observables of a non-relativistic system in $2^{[D/2]-1}$ euclidean dimensions. The latter attribute permits a dual interpretation of concepts of non-relativistic mechanics as applying to relativistic space-time geometry. Introducing the Groenewold-Moyal *-product and Wigner distributions in phase space induces Lorentz-covariant non-commutativity and it provides the spectra of geometrical observables. We propose also new (multivector) matrix models, interpreted as descending from the interaction term of a Yang-Mills theory with minimally coupled massive fermions, in the large-$N$ limit, which serves as a physical model containing the constructed multivector (fuzzy) geometries. We also include a section on speculative aspects on a possible cosmological effect and the origin of space-time entropy. |
2406.18946 | Parinya Karndumri | Parinya Karndumri | Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged
supergravity | 27 pages, no figure, typos corrected, references added | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We study supersymmetric solutions of matter-coupled $F(4)$ gauged
supergravity in the forms of $AdS_2\times S^3$- and $AdS_3\times S^2$-sliced
domain walls with a non-vanishing two-form field from the supergravity
multiplet. These two types of solutions holographically describe conformal line
and surface defects within five-dimensional $N=2$ SCFTs, respectively. In the
case of $SO(3)\times SO(3)$ gauge group obtained by coupling $F(4)$
supergravity to three vector multiplets, we find charged domain wall solutions
describing holographic RG flows between two supersymmetric $AdS_6$ vacua with a
running two-form field supporting the line and surface defects. For a
particular case of one vector multiplet with $SO(3)\times U(1)$ gauge group, we
find solutions describing RG flows from an $AdS_6$ vacuum to physically
acceptable singular geometries in the presence of defects. This class of
solutions can be uplifted to type IIB theory using a consistent truncation
obtained from $SO(5,5)$ exceptional field theory with half-maximal structures.
| [
{
"created": "Thu, 27 Jun 2024 07:20:28 GMT",
"version": "v1"
},
{
"created": "Thu, 4 Jul 2024 04:56:10 GMT",
"version": "v2"
}
] | 2024-07-08 | [
[
"Karndumri",
"Parinya",
""
]
] | We study supersymmetric solutions of matter-coupled $F(4)$ gauged supergravity in the forms of $AdS_2\times S^3$- and $AdS_3\times S^2$-sliced domain walls with a non-vanishing two-form field from the supergravity multiplet. These two types of solutions holographically describe conformal line and surface defects within five-dimensional $N=2$ SCFTs, respectively. In the case of $SO(3)\times SO(3)$ gauge group obtained by coupling $F(4)$ supergravity to three vector multiplets, we find charged domain wall solutions describing holographic RG flows between two supersymmetric $AdS_6$ vacua with a running two-form field supporting the line and surface defects. For a particular case of one vector multiplet with $SO(3)\times U(1)$ gauge group, we find solutions describing RG flows from an $AdS_6$ vacuum to physically acceptable singular geometries in the presence of defects. This class of solutions can be uplifted to type IIB theory using a consistent truncation obtained from $SO(5,5)$ exceptional field theory with half-maximal structures. |
hep-th/9302023 | Christian Preitschopf | L. Brink, T.H. Hansson, S. Konstein and M.A. Vasiliev | The Calogero Model - Anyonic Representation, Fermionic Extension and
Supersymmetry | 24 pages, Latex, USITP-92-14, G{\"o}teborg ITP-92-53 | Nucl.Phys. B401 (1993) 591-612 | 10.1016/0550-3213(93)90315-G | null | hep-th | null | We discuss several applications and extensions of our previous operator
solution of the $N$-body Calogero problem, \ie N particles in 1 dimension
subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2
+ g/ {(x_i - x_j)^2}]$. Using a complex representation of the deformed
Heisenberg algebra underlying the Calogero model, we explicitly establish the
equivalence between this system and anyons in the lowest Landau level. A
construction based on supersymmetry is used to extend our operator method to
include fermions, and we obtain an explicit solution of the supersymmetric
Calogero model constructed by Freedman and Mende. We also show how the
dynamical $OSp(2;2)$ supersymmetry is realized by bilinears of modified
creation and annihilation operators, and how to construct a supersymmetic
extension of the deformed Heisenberg algebra.
| [
{
"created": "Sun, 7 Feb 1993 17:41:28 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Brink",
"L.",
""
],
[
"Hansson",
"T. H.",
""
],
[
"Konstein",
"S.",
""
],
[
"Vasiliev",
"M. A.",
""
]
] | We discuss several applications and extensions of our previous operator solution of the $N$-body Calogero problem, \ie N particles in 1 dimension subject to a two-body interaction of the form $\half \sum_{i,j}[ (x_i - x_j)^2 + g/ {(x_i - x_j)^2}]$. Using a complex representation of the deformed Heisenberg algebra underlying the Calogero model, we explicitly establish the equivalence between this system and anyons in the lowest Landau level. A construction based on supersymmetry is used to extend our operator method to include fermions, and we obtain an explicit solution of the supersymmetric Calogero model constructed by Freedman and Mende. We also show how the dynamical $OSp(2;2)$ supersymmetry is realized by bilinears of modified creation and annihilation operators, and how to construct a supersymmetic extension of the deformed Heisenberg algebra. |
2212.06548 | Anwesha Chakraborty Ms | Biswajit Chakraborty, Partha Nandi, Sayan Kumar Pal, Anwesha
Chakraborty | Our Trysts with `Bal' and Noncommutative Geometry | In Honor of A.P.Balachandran on the Occasion of His 85th Birthday (To
be published in the Festschrift volume: Particles, Fields and Topology by
World Scientific, Singapore) | null | null | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | This contributory article begins with our fond and sincere reminiscences
about our beloved Prof. A.P. Balachandran. In the main part, we discuss our
recent formulation of quantum mechanics on (1+1)D noncommutative space-time
using Hilbert-Schmidt operators. As an application, we demonstrate how
geometrical phase in a system of time-dependent forced harmonic oscillator
living in the Moyal space-time can emerge.
| [
{
"created": "Tue, 13 Dec 2022 13:02:26 GMT",
"version": "v1"
}
] | 2022-12-14 | [
[
"Chakraborty",
"Biswajit",
""
],
[
"Nandi",
"Partha",
""
],
[
"Pal",
"Sayan Kumar",
""
],
[
"Chakraborty",
"Anwesha",
""
]
] | This contributory article begins with our fond and sincere reminiscences about our beloved Prof. A.P. Balachandran. In the main part, we discuss our recent formulation of quantum mechanics on (1+1)D noncommutative space-time using Hilbert-Schmidt operators. As an application, we demonstrate how geometrical phase in a system of time-dependent forced harmonic oscillator living in the Moyal space-time can emerge. |
hep-th/9510182 | Jeffrey Harvey | J. A. Harvey and G. Moore | Algebras, BPS States, and Strings | 64 pages, harvmac (b), Discussion of BRST improved, typos fixed, two
references added | Nucl.Phys.B463:315-368,1996 | 10.1016/0550-3213(95)00605-2 | YCTP-P16-95, EFI-95-64 | hep-th alg-geom math.AG math.QA q-alg | null | We clarify the role played by BPS states in the calculation of threshold
corrections of D=4, N=2 heterotic string compactifications. We evaluate these
corrections for some classes of compactifications and show that they are sums
of logarithmic functions over the positive roots of generalized Kac-Moody
algebras. Moreover, a certain limit of the formulae suggests a reformulation of
heterotic string in terms of a gauge theory based on hyperbolic algebras such
as $E_{10}$. We define a generalized Kac-Moody Lie superalgebra associated to
the BPS states. Finally we discuss the relation of our results with string
duality.
| [
{
"created": "Wed, 25 Oct 1995 00:07:47 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Jan 1996 22:16:12 GMT",
"version": "v2"
}
] | 2009-07-09 | [
[
"Harvey",
"J. A.",
""
],
[
"Moore",
"G.",
""
]
] | We clarify the role played by BPS states in the calculation of threshold corrections of D=4, N=2 heterotic string compactifications. We evaluate these corrections for some classes of compactifications and show that they are sums of logarithmic functions over the positive roots of generalized Kac-Moody algebras. Moreover, a certain limit of the formulae suggests a reformulation of heterotic string in terms of a gauge theory based on hyperbolic algebras such as $E_{10}$. We define a generalized Kac-Moody Lie superalgebra associated to the BPS states. Finally we discuss the relation of our results with string duality. |
hep-th/9808178 | Jisuke Kubo | Andreas Karch, Tatsuo Kobayashi, Jisuke Kubo, George Zoupanos | Infrared Behaviour of Softly Broken SQCD and Its Dual | 14 pages | Phys.Lett. B441 (1998) 235-242 | 10.1016/S0370-2693(98)01182-4 | MPI-PhT/98-65 | hep-th | null | Applying the recently obtained results on the renormalization of soft
supersymmetry-breaking parameters, we investigate the infrared behaviour of the
softly broken supersymmetric QCD as well as its dual theory in the conformal
window. Under general assumptions on $\beta$-functions, it is shown that the
soft supersymmetry-breaking parameters asymptotically vanish in the infrared
limit so that superconformal symmetry in softly broken supersymmetric QCD and
in its dual theory revives at the infrared fixed point, provided the soft
scalar masses satisfy certain renormalization group invariant relations. If
these relations are not satisfied, there exist marginal operators in both
theories that lead to the breaking of supersymmetry and also colour symmetry.
| [
{
"created": "Sat, 29 Aug 1998 10:56:18 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Sep 1998 16:18:32 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Karch",
"Andreas",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Kubo",
"Jisuke",
""
],
[
"Zoupanos",
"George",
""
]
] | Applying the recently obtained results on the renormalization of soft supersymmetry-breaking parameters, we investigate the infrared behaviour of the softly broken supersymmetric QCD as well as its dual theory in the conformal window. Under general assumptions on $\beta$-functions, it is shown that the soft supersymmetry-breaking parameters asymptotically vanish in the infrared limit so that superconformal symmetry in softly broken supersymmetric QCD and in its dual theory revives at the infrared fixed point, provided the soft scalar masses satisfy certain renormalization group invariant relations. If these relations are not satisfied, there exist marginal operators in both theories that lead to the breaking of supersymmetry and also colour symmetry. |
hep-th/9502033 | null | Olivier Piguet | On the Role of Vector Supersymmetry in Topological Field Theory | 17 pages, latex, no figures. Talk given at the ``XV Encontro Nacional
de Fisica de Particulas e Campos'', Angra dos Reis, Brazil, October 1994. | null | null | UGVA-DPT 1995/02-880 | hep-th | null | Vector supersymmetry is typical of topological field theory. Its role in the
construction of gauge invariant quantities is explained, as well as its role in
the cancellation of the ultraviolet divergences. The example of the
Chern-Simons theory in three dimensions is treated in details.
| [
{
"created": "Mon, 6 Feb 1995 12:39:19 GMT",
"version": "v1"
}
] | 2016-09-06 | [
[
"Piguet",
"Olivier",
""
]
] | Vector supersymmetry is typical of topological field theory. Its role in the construction of gauge invariant quantities is explained, as well as its role in the cancellation of the ultraviolet divergences. The example of the Chern-Simons theory in three dimensions is treated in details. |
1704.01132 | P Klimas | P. Klimas and L.R. Livramento | Compact Q-balls and Q-shells in the CPN type models | 23 pages, 9 figures | Phys. Rev. D 96, 016001 (2017) | 10.1103/PhysRevD.96.016001 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the CPN model with odd number of scalar fields and V-shaped
potential possesses finite energy compact solutions in the form of Q-balls and
Q-shells. The solutions were obtained in 3+1 dimensions. Q-balls appears for
N=1 and N=3 whereas Q-shells are present for higher odd values of N. We show
that energy of these solutions behaves as E~|Q|^5/6, where Q is the Noether
charge.
| [
{
"created": "Tue, 4 Apr 2017 18:03:06 GMT",
"version": "v1"
}
] | 2017-07-12 | [
[
"Klimas",
"P.",
""
],
[
"Livramento",
"L. R.",
""
]
] | We show that the CPN model with odd number of scalar fields and V-shaped potential possesses finite energy compact solutions in the form of Q-balls and Q-shells. The solutions were obtained in 3+1 dimensions. Q-balls appears for N=1 and N=3 whereas Q-shells are present for higher odd values of N. We show that energy of these solutions behaves as E~|Q|^5/6, where Q is the Noether charge. |
hep-th/9911123 | Yaron Kinar | Y. Kinar, E. Schreiber, J. Sonnenschein, N. Weiss | Quantum fluctuations of Wilson loops from string models | 1+33 pages, 3 figures, a minor correction, references added | Nucl.Phys. B583 (2000) 76-104 | 10.1016/S0550-3213(00)00238-8 | TAUP-2602-99 | hep-th | null | We discuss the impact of quadratic quantum fluctuations on the Wilson loop
extracted from classical string theory. We show that a large class of models,
which includes the near horizon limit of D_p branes with 16 supersymmetries,
admits a L\"{u}scher type correction to the classical potential. We confirm
that the quantum determinant associated with a BPS configuration of a single
quark in the AdS_5 \times S^5 model is free from divergences. We find that for
the Wilson loop in that model, unlike the situation in flat space-time, the
fermionic determinant does not cancel the bosonic one. For string models that
correspond to gauge theories in the confining phase, we show that the
correction to the potential is of a L\"{u}scher type and is attractive.
| [
{
"created": "Tue, 16 Nov 1999 19:06:20 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Dec 1999 14:24:51 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Kinar",
"Y.",
""
],
[
"Schreiber",
"E.",
""
],
[
"Sonnenschein",
"J.",
""
],
[
"Weiss",
"N.",
""
]
] | We discuss the impact of quadratic quantum fluctuations on the Wilson loop extracted from classical string theory. We show that a large class of models, which includes the near horizon limit of D_p branes with 16 supersymmetries, admits a L\"{u}scher type correction to the classical potential. We confirm that the quantum determinant associated with a BPS configuration of a single quark in the AdS_5 \times S^5 model is free from divergences. We find that for the Wilson loop in that model, unlike the situation in flat space-time, the fermionic determinant does not cancel the bosonic one. For string models that correspond to gauge theories in the confining phase, we show that the correction to the potential is of a L\"{u}scher type and is attractive. |
2106.06520 | Bo Sundborg | Julius Engels\"oy and Bo Sundborg | Tidal excitation as mixing in thermal CFT | 18 pages, 1 figure. v2: references added | null | 10.1007/JHEP08(2021)085 | null | hep-th gr-qc | http://creativecommons.org/licenses/by/4.0/ | We use mixed correlators in thermal CFT as clean probes of the strong gravity
effects in their holographic duals. The dual interpretation of mixing is an
inelastic conversion of one field to another field, induced by gravity: tidal
excitation. We find an enhanced mixing at high temperatures, corresponding to
large AdS black holes, concentrated to small boundary momenta, dual to the deep
bulk, where strong gravitational fields are expected. We also find large
$\mathcal{O}(1/G_{N})$ tidal conversion in the low temperature phase of the
$U(N)$ vector model, strengthening suspicions that the bulk dual of this phase
also houses extremely compact objects.
| [
{
"created": "Fri, 11 Jun 2021 17:31:27 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Jun 2021 17:21:35 GMT",
"version": "v2"
}
] | 2021-09-01 | [
[
"Engelsöy",
"Julius",
""
],
[
"Sundborg",
"Bo",
""
]
] | We use mixed correlators in thermal CFT as clean probes of the strong gravity effects in their holographic duals. The dual interpretation of mixing is an inelastic conversion of one field to another field, induced by gravity: tidal excitation. We find an enhanced mixing at high temperatures, corresponding to large AdS black holes, concentrated to small boundary momenta, dual to the deep bulk, where strong gravitational fields are expected. We also find large $\mathcal{O}(1/G_{N})$ tidal conversion in the low temperature phase of the $U(N)$ vector model, strengthening suspicions that the bulk dual of this phase also houses extremely compact objects. |
0906.5477 | Matteo Smerlak | Jacques Magnen (CPHT), Karim Noui (LMPT), Vincent Rivasseau (LPT),
Matteo Smerlak (CPT) | Scaling behaviour of three-dimensional group field theory | null | Class.Quant.Grav.26:185012,2009 | 10.1088/0264-9381/26/18/185012 | LPT-ORSAY 09-52 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Group field theory is a generalization of matrix models, with triangulated
pseudomanifolds as Feynman diagrams and state sum invariants as Feynman
amplitudes. In this paper, we consider Boulatov's three-dimensional model and
its Freidel-Louapre positive regularization (hereafter the BFL model) with a
?ultraviolet' cutoff, and study rigorously their scaling behavior in the large
cutoff limit. We prove an optimal bound on large order Feynman amplitudes,
which shows that the BFL model is perturbatively more divergent than the
former. We then upgrade this result to the constructive level, using, in a
self-contained way, the modern tools of constructive field theory: we construct
the Borel sum of the BFL perturbative series via a convergent ?cactus'
expansion, and establish the ?ultraviolet' scaling of its Borel radius. Our
method shows how the ?sum over trian- gulations' in quantum gravity can be
tamed rigorously, and paves the way for the renormalization program in group
field theory.
| [
{
"created": "Tue, 30 Jun 2009 11:11:13 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Sep 2009 14:18:20 GMT",
"version": "v2"
}
] | 2009-09-28 | [
[
"Magnen",
"Jacques",
"",
"CPHT"
],
[
"Noui",
"Karim",
"",
"LMPT"
],
[
"Rivasseau",
"Vincent",
"",
"LPT"
],
[
"Smerlak",
"Matteo",
"",
"CPT"
]
] | Group field theory is a generalization of matrix models, with triangulated pseudomanifolds as Feynman diagrams and state sum invariants as Feynman amplitudes. In this paper, we consider Boulatov's three-dimensional model and its Freidel-Louapre positive regularization (hereafter the BFL model) with a ?ultraviolet' cutoff, and study rigorously their scaling behavior in the large cutoff limit. We prove an optimal bound on large order Feynman amplitudes, which shows that the BFL model is perturbatively more divergent than the former. We then upgrade this result to the constructive level, using, in a self-contained way, the modern tools of constructive field theory: we construct the Borel sum of the BFL perturbative series via a convergent ?cactus' expansion, and establish the ?ultraviolet' scaling of its Borel radius. Our method shows how the ?sum over trian- gulations' in quantum gravity can be tamed rigorously, and paves the way for the renormalization program in group field theory. |
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