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/9809053 | Harutada Sato | Haru-Tada Sato (Heidelberg U.) | Integral representations of thermodynamic 1PI Green functions in the
world-line formalism | 1+30 pages, improved presentation | J.Math.Phys. 40 (1999) 6407-6429 | 10.1063/1.533100 | HD-THEP-98-41 | hep-th hep-ph | null | The issue discussed is a thermodynamic version of the Bern-Kosower master
amplitude formula, which contains all necessary one-loop Feynman diagrams. It
is demonstrated how the master amplitude at finite values of temperature and
chemical potential can be formulated within the framework of the world-line
formalism. In particular we present an elegant method how to introduce a
chemical potential for a loop in the master formula. Various useful integral
formulae for the master amplitude are then obtained. The non-analytic property
of the master formula is also derived in the zero temperature limit with the
value of chemical potential kept finite.
| [
{
"created": "Tue, 8 Sep 1998 17:20:15 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Feb 1999 16:13:31 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Sato",
"Haru-Tada",
"",
"Heidelberg U."
]
] | The issue discussed is a thermodynamic version of the Bern-Kosower master amplitude formula, which contains all necessary one-loop Feynman diagrams. It is demonstrated how the master amplitude at finite values of temperature and chemical potential can be formulated within the framework of the world-line formalism. In particular we present an elegant method how to introduce a chemical potential for a loop in the master formula. Various useful integral formulae for the master amplitude are then obtained. The non-analytic property of the master formula is also derived in the zero temperature limit with the value of chemical potential kept finite. |
1401.1230 | Dustin Lorshbough | Aditya Aravind, Dustin Lorshbough, Sonia Paban | Lower Bound for the Multi-Field Bounce Action | null | Phys. Rev. D 89, 103535 (2014) | 10.1103/PhysRevD.89.103535 | UTTG-40-13; TCC-032-13 | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a lower bound for the multi-field bounce action with a quartic
potential in the absence of gravity. We find that for a large number of fields
the lower bound decreases with the number of fields as N^{-3}. This work
clarifies previous statements made in numerical studies which found that the
bounce action scales as N^{-2.66} and discusses some subtleties of studying
field space trajectories.
| [
{
"created": "Mon, 6 Jan 2014 22:17:38 GMT",
"version": "v1"
}
] | 2014-06-18 | [
[
"Aravind",
"Aditya",
""
],
[
"Lorshbough",
"Dustin",
""
],
[
"Paban",
"Sonia",
""
]
] | We present a lower bound for the multi-field bounce action with a quartic potential in the absence of gravity. We find that for a large number of fields the lower bound decreases with the number of fields as N^{-3}. This work clarifies previous statements made in numerical studies which found that the bounce action scales as N^{-2.66} and discusses some subtleties of studying field space trajectories. |
0711.4496 | Nele Vandersickel | D.Dudal, S.P.Sorella, N.Vandersickel, H.Verschelde | New features of the gluon and ghost propagator in the infrared region
from the Gribov-Zwanziger approach | 4 pages, 1 .eps figure. Package braket.sty included | Phys.Rev.D77:071501,2008 | 10.1103/PhysRevD.77.071501 | null | hep-th hep-lat hep-ph | null | So far, the infrared behavior of the gluon and ghost propagator based on the
Gribov-Zwanziger approach predicted a positivity violating gluon propagator
vanishing at zero momentum, and an infrared enhanced ghost propagator. However,
recent data based on huge lattices have revealed a positivity violating gluon
propagator which turns out to attain a finite nonvanishing value very close to
zero momentum. At the same time the ghost propagator does not seem to be
infrared enhanced anymore. We point out that these new features can be
accounted for by yet unexploited dynamical effects within the Gribov-Zwanziger
approach, leading to an infrared behavior in qualitatively good agreement with
the new data.
| [
{
"created": "Wed, 28 Nov 2007 13:30:16 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Dudal",
"D.",
""
],
[
"Sorella",
"S. P.",
""
],
[
"Vandersickel",
"N.",
""
],
[
"Verschelde",
"H.",
""
]
] | So far, the infrared behavior of the gluon and ghost propagator based on the Gribov-Zwanziger approach predicted a positivity violating gluon propagator vanishing at zero momentum, and an infrared enhanced ghost propagator. However, recent data based on huge lattices have revealed a positivity violating gluon propagator which turns out to attain a finite nonvanishing value very close to zero momentum. At the same time the ghost propagator does not seem to be infrared enhanced anymore. We point out that these new features can be accounted for by yet unexploited dynamical effects within the Gribov-Zwanziger approach, leading to an infrared behavior in qualitatively good agreement with the new data. |
0904.3479 | Agostino Patella | Biagio Lucini, Agostino Patella | Discrete symmetry breaking and baryon currents in U(N) and SU(N) gauge
theories | 7 pages, using RevTeX4 | Phys.Rev.D79:125030,2009 | 10.1103/PhysRevD.79.125030 | null | hep-th hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In SU($N$) gauge theories with fermions in the fundamental or in a two-index
(either symmetric or antisymmetric) representation formulated on a manifold
with at least one compact dimension with non-trivial holonomy the discrete
symmetries $C$, $P$ and $T$ are broken at small enough size of the compact
direction(s) for certain values of $N$. We show that for those $N$ in the
broken phase a non-zero baryon current wrapping in the compact direction
exists, which provides a measurable observable for the breaking of $C$, $P$ and
$T$. We prove that in all cases where the current is absent there is no
breaking of those discrete symmetries. This includes the limit $N \to \infty$
of the SU($N$) gauge theory with symmetric or antisymmetric fermions and U($N$)
gauge theory at any value of $N$. We then argue that the component of the
baryon current in the compact direction is the physical order parameter for
$C$, $P$ and $T$ breaking due to the breaking of Lorentz invariance.
| [
{
"created": "Wed, 22 Apr 2009 15:36:31 GMT",
"version": "v1"
}
] | 2009-07-09 | [
[
"Lucini",
"Biagio",
""
],
[
"Patella",
"Agostino",
""
]
] | In SU($N$) gauge theories with fermions in the fundamental or in a two-index (either symmetric or antisymmetric) representation formulated on a manifold with at least one compact dimension with non-trivial holonomy the discrete symmetries $C$, $P$ and $T$ are broken at small enough size of the compact direction(s) for certain values of $N$. We show that for those $N$ in the broken phase a non-zero baryon current wrapping in the compact direction exists, which provides a measurable observable for the breaking of $C$, $P$ and $T$. We prove that in all cases where the current is absent there is no breaking of those discrete symmetries. This includes the limit $N \to \infty$ of the SU($N$) gauge theory with symmetric or antisymmetric fermions and U($N$) gauge theory at any value of $N$. We then argue that the component of the baryon current in the compact direction is the physical order parameter for $C$, $P$ and $T$ breaking due to the breaking of Lorentz invariance. |
1512.04383 | I-Sheng Yang | Ben Freivogel and I-Sheng Yang | Coherent Cascade Conjecture for Collapsing Solutions in Global AdS | 24 pages, version 2 to match the accepted version in PRD, including a
slight change in the title | Phys. Rev. D 93, 103007 (2016) | 10.1103/PhysRevD.93.103007 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze the gravitational dynamics of a classical scalar field coupled to
gravity in asymptotically AdS spacetime, which leads to black hole formation on
the shortest nonlinear time scale for some initial conditions. We show that the
observed collapse cannot be described by the well-known process of a
random-phase cascade in the theory of weak turbulence. This implies that the
dynamics on this time scale is highly sensitive to the phases of modes. We
explore the alternative possibility of a coherent phase cascade and
analytically find stationary solutions with completely coherent phases and
power-law energy spectra. We show that these power-law spectra lead to
diverging geometric backreaction, which is the likely precursor to black hole
formation. In 4+1 dimensions, our stationary solution has the same power law
energy spectrum as the final state right before collapse observed in numerical
simulations. We conjecture that our stationary solutions describe the system
shortly before collapse in other dimensions, and predict the energy spectrum.
| [
{
"created": "Mon, 14 Dec 2015 16:13:39 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2016 18:24:47 GMT",
"version": "v2"
}
] | 2016-06-01 | [
[
"Freivogel",
"Ben",
""
],
[
"Yang",
"I-Sheng",
""
]
] | We analyze the gravitational dynamics of a classical scalar field coupled to gravity in asymptotically AdS spacetime, which leads to black hole formation on the shortest nonlinear time scale for some initial conditions. We show that the observed collapse cannot be described by the well-known process of a random-phase cascade in the theory of weak turbulence. This implies that the dynamics on this time scale is highly sensitive to the phases of modes. We explore the alternative possibility of a coherent phase cascade and analytically find stationary solutions with completely coherent phases and power-law energy spectra. We show that these power-law spectra lead to diverging geometric backreaction, which is the likely precursor to black hole formation. In 4+1 dimensions, our stationary solution has the same power law energy spectrum as the final state right before collapse observed in numerical simulations. We conjecture that our stationary solutions describe the system shortly before collapse in other dimensions, and predict the energy spectrum. |
0809.1216 | Artyom Yurov | A.V. Yurov, V.A. Yurov | Friedman vs Abel equations: A connection unraveled | Replaced raw version (with fake abstract and acknowledgments) to a
new, revised version | J.Math.Phys. 51: 082503, 2010 | 10.1063/1.3460856 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an interesting connection between Einstein-Friedmann equations for
the models of universe filled with scalar field and the special form of Abel
equation of the first kind. This connection works in both ways: first, we show
how, knowing the general solution of the Abel equation (corresponding to the
given scalar field potential) one can obtain the general solution of the
Friedman Equation (and use the former for studying such problems as existence
of inflation with exit for particular models). On the other hand, one can
invert the procedure and construct the B\"{a}cklund auto-transformations for
the Abel equation.
| [
{
"created": "Sun, 7 Sep 2008 10:19:52 GMT",
"version": "v1"
},
{
"created": "Tue, 9 Sep 2008 17:54:56 GMT",
"version": "v2"
},
{
"created": "Mon, 16 May 2011 21:21:05 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Yurov",
"A. V.",
""
],
[
"Yurov",
"V. A.",
""
]
] | We present an interesting connection between Einstein-Friedmann equations for the models of universe filled with scalar field and the special form of Abel equation of the first kind. This connection works in both ways: first, we show how, knowing the general solution of the Abel equation (corresponding to the given scalar field potential) one can obtain the general solution of the Friedman Equation (and use the former for studying such problems as existence of inflation with exit for particular models). On the other hand, one can invert the procedure and construct the B\"{a}cklund auto-transformations for the Abel equation. |
2303.06490 | Victor Rivelles | Victor O. Rivelles | Virtual Exchange of Continuous Spin Particles | 18 pages, 1 figure | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | We discuss the long range interactions mediated by continuous spin particles.
We start by deriving the propagator for a continuous spin particle using the
antifield BRST formalism. Then we couple the continuous spin particle to a
conserved current to find the interaction energy due to static disturbances of
the vacuum. For sources having charges of the same sign we find an attractive
force at small distances and a repulsive force at large distances. We also
discuss the conserved current degrees of freedom.
| [
{
"created": "Sat, 11 Mar 2023 20:00:35 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Aug 2023 19:11:23 GMT",
"version": "v2"
}
] | 2023-08-07 | [
[
"Rivelles",
"Victor O.",
""
]
] | We discuss the long range interactions mediated by continuous spin particles. We start by deriving the propagator for a continuous spin particle using the antifield BRST formalism. Then we couple the continuous spin particle to a conserved current to find the interaction energy due to static disturbances of the vacuum. For sources having charges of the same sign we find an attractive force at small distances and a repulsive force at large distances. We also discuss the conserved current degrees of freedom. |
0809.1650 | Masahito Yamazaki | Masahito Yamazaki | Octonions, G_2 and generalized Lie 3-algebras | 14 pages, no figure, v2:minor changes in the body, and references
added | Phys.Lett.B670:215-219,2008 | 10.1016/j.physletb.2008.11.001 | UT-08-28, IPMU-08-0063 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct an explicit example of a generalized Lie 3-algebra from the
octonions. In combination with the result of arXiv:0807.0808, this gives rise
to a three-dimensional N=2 Chern-Simons-matter theory with exceptional gauge
group G_2 and with global symmetry SU(4)\times U(1). This gives a possible
candidate for the theory on multiple M2-branes with G_2 gauge symmetry.
| [
{
"created": "Wed, 10 Sep 2008 17:08:39 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Sep 2008 06:51:21 GMT",
"version": "v2"
}
] | 2008-12-03 | [
[
"Yamazaki",
"Masahito",
""
]
] | We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of arXiv:0807.0808, this gives rise to a three-dimensional N=2 Chern-Simons-matter theory with exceptional gauge group G_2 and with global symmetry SU(4)\times U(1). This gives a possible candidate for the theory on multiple M2-branes with G_2 gauge symmetry. |
1702.01254 | Matteo Beccaria | Matteo Beccaria, Alberto Fachechi, Guido Macorini | Chiral trace relations in $\Omega$-deformed $\mathcal N=2$ theories | 36 pages. v2 references added | null | 10.1007/JHEP05(2017)023 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider $\mathcal N=2$ $SU(2)$ gauge theories in four dimensions (pure or
mass deformed) and discuss the properties of the simplest chiral observables in
the presence of a generic $\Omega$-deformation. We compute them by equivariant
localization and analyze the structure of the exact instanton corrections to
the classical chiral ring relations. We predict exact relations valid at all
instanton number among the traces $\langle\text{Tr}\varphi^{n}\rangle$, where
$\varphi$ is the scalar field in the gauge multiplet. In the
Nekrasov-Shatashvili limit, such relations may be explained in terms of the
available quantized Seiberg-Witten curves. Instead, the full two-parameter
deformation enjoys novel features and the ring relations require non trivial
additional derivative terms with respect to the modular parameter. Higher rank
groups are briefly discussed emphasizing non-factorization of correlators due
to the $\Omega$-deformation. Finally, the structure of the deformed ring
relations in the $\mathcal N=2^{\star}$ theory is analyzed from the point of
view of the Alday-Gaiotto-Tachikawa correspondence proving consistency as well
as some interesting universality properties.
| [
{
"created": "Sat, 4 Feb 2017 08:46:56 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2017 16:52:17 GMT",
"version": "v2"
}
] | 2017-05-24 | [
[
"Beccaria",
"Matteo",
""
],
[
"Fachechi",
"Alberto",
""
],
[
"Macorini",
"Guido",
""
]
] | We consider $\mathcal N=2$ $SU(2)$ gauge theories in four dimensions (pure or mass deformed) and discuss the properties of the simplest chiral observables in the presence of a generic $\Omega$-deformation. We compute them by equivariant localization and analyze the structure of the exact instanton corrections to the classical chiral ring relations. We predict exact relations valid at all instanton number among the traces $\langle\text{Tr}\varphi^{n}\rangle$, where $\varphi$ is the scalar field in the gauge multiplet. In the Nekrasov-Shatashvili limit, such relations may be explained in terms of the available quantized Seiberg-Witten curves. Instead, the full two-parameter deformation enjoys novel features and the ring relations require non trivial additional derivative terms with respect to the modular parameter. Higher rank groups are briefly discussed emphasizing non-factorization of correlators due to the $\Omega$-deformation. Finally, the structure of the deformed ring relations in the $\mathcal N=2^{\star}$ theory is analyzed from the point of view of the Alday-Gaiotto-Tachikawa correspondence proving consistency as well as some interesting universality properties. |
2310.10405 | Pratik Chattopadhyay | Pratik Chattopadhyay | One-loop effective action in chiral Einstein-Cartan gravity | 24 pages | null | null | null | hep-th | http://creativecommons.org/licenses/by/4.0/ | In chiral Einstein-Cartan gravity, a new gauge fixing procedure is
implemented recently, leading to a very economical perturbation expansion of
the action. Using this formulation and the relevant gauge-fixing, we develop
the ghost Lagrangian on an arbitrary Einstein background using the BRST
formalism. The novelty is the appearance of a new term quadratic in the tetrad
field. We next compute the heat-kernel coefficients and understand the
divergences arising in the gravitational one-loop effective action. In our
computation the arising heat kernel coefficients depend only on the self-dual
part of the Weyl curvature. We make a comparison between our results and what
has been obtained for metric GR.
| [
{
"created": "Mon, 16 Oct 2023 13:50:27 GMT",
"version": "v1"
}
] | 2023-10-17 | [
[
"Chattopadhyay",
"Pratik",
""
]
] | In chiral Einstein-Cartan gravity, a new gauge fixing procedure is implemented recently, leading to a very economical perturbation expansion of the action. Using this formulation and the relevant gauge-fixing, we develop the ghost Lagrangian on an arbitrary Einstein background using the BRST formalism. The novelty is the appearance of a new term quadratic in the tetrad field. We next compute the heat-kernel coefficients and understand the divergences arising in the gravitational one-loop effective action. In our computation the arising heat kernel coefficients depend only on the self-dual part of the Weyl curvature. We make a comparison between our results and what has been obtained for metric GR. |
hep-th/0407157 | George Siopsis | George Siopsis | On quasi-normal modes and the AdS_5/CFT_4 correspondence | v2: 20 pages, added discussion on geometric origin of results,
corrected typos; to appear in Nucl. Phys. B | Nucl.Phys. B715 (2005) 483-498 | 10.1016/j.nuclphysb.2005.03.023 | UTHET-04-0201 | hep-th | null | We discuss the quasi-normal modes of massive scalar perturbations of black
holes in AdS_5 in conjunction with the AdS/CFT correspondence. On the gravity
side, we solve the wave equation and obtain an expression for the asymptotic
form of quasi-normal frequencies. We then show that these expressions agree
with those obtained from a CFT defined on $\mathbb{R} \times S^3$ in a certain
scaling limit, by identifying Euclidean time with one of the periodic
coordinates. This generalizes known exact results in three dimensions (BTZ
black hole). As a by-product, we derive the standard energy quantization
condition in AdS by a simple monodromy argument in complexified AdS space. This
argument relies on an unphysical singularity.
| [
{
"created": "Sun, 18 Jul 2004 16:38:28 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Mar 2005 15:13:39 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Siopsis",
"George",
""
]
] | We discuss the quasi-normal modes of massive scalar perturbations of black holes in AdS_5 in conjunction with the AdS/CFT correspondence. On the gravity side, we solve the wave equation and obtain an expression for the asymptotic form of quasi-normal frequencies. We then show that these expressions agree with those obtained from a CFT defined on $\mathbb{R} \times S^3$ in a certain scaling limit, by identifying Euclidean time with one of the periodic coordinates. This generalizes known exact results in three dimensions (BTZ black hole). As a by-product, we derive the standard energy quantization condition in AdS by a simple monodromy argument in complexified AdS space. This argument relies on an unphysical singularity. |
2201.11138 | Hong Lu | Zhan-Feng Mai, Run-Qiu Yang and H. L\"u | Extremal Charged Black Holes and Superradiantly Unstable Quasinormal
Modes | 17 pages, 11 graphs grouped into 5 figures, typos corrected, comments
added and refences updated, to appear in EPJC | null | 10.1140/epjc/s10052-022-10490-y | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It was recently shown that the extremal charged black holes in STU
supergravity suffer from superradiant instability owing to the existence of the
unstable (low-frequency) quasibound states associated with a charged massive
scalar field. In this paper, we show numerically that for some charge
configurations, these black holes can also excite the (higher-frequency)
superradiantly unstable quasinormal modes. We find empirically that the
unstable modes are closely related to having a volcano-shaped effective
potential in the Schr\"odinger-like wave equation.
| [
{
"created": "Wed, 26 Jan 2022 19:00:06 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jun 2022 12:35:42 GMT",
"version": "v2"
}
] | 2022-07-06 | [
[
"Mai",
"Zhan-Feng",
""
],
[
"Yang",
"Run-Qiu",
""
],
[
"Lü",
"H.",
""
]
] | It was recently shown that the extremal charged black holes in STU supergravity suffer from superradiant instability owing to the existence of the unstable (low-frequency) quasibound states associated with a charged massive scalar field. In this paper, we show numerically that for some charge configurations, these black holes can also excite the (higher-frequency) superradiantly unstable quasinormal modes. We find empirically that the unstable modes are closely related to having a volcano-shaped effective potential in the Schr\"odinger-like wave equation. |
hep-th/0301094 | Washington Taylor | Washington Taylor (MIT) | Lectures on D-branes, tachyon condensation, and string field theory | 52 pages, 3 eps figures, Latex; lectures presented at CECS school on
quantum gravity, Valdivia, Chile, January 2002 | null | null | MIT-CTP-3341 | hep-th | null | These lectures provide an introduction to the subject of tachyon condensation
in the open bosonic string. The problem of tachyon condensation is first
described in the context of the low-energy Yang-Mills description of a system
of multiple D-branes, and then using the language of string field theory. An
introduction is given to Witten's cubic open bosonic string field theory. The
Sen conjectures on tachyon condensation in open bosonic string field theory are
introduced, and evidence confirming these conjectures is reviewed.
| [
{
"created": "Wed, 15 Jan 2003 12:11:20 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Taylor",
"Washington",
"",
"MIT"
]
] | These lectures provide an introduction to the subject of tachyon condensation in the open bosonic string. The problem of tachyon condensation is first described in the context of the low-energy Yang-Mills description of a system of multiple D-branes, and then using the language of string field theory. An introduction is given to Witten's cubic open bosonic string field theory. The Sen conjectures on tachyon condensation in open bosonic string field theory are introduced, and evidence confirming these conjectures is reviewed. |
hep-th/0103245 | Adel Khoudeir Maurched | Adel Khoudeir | Non-abelian self-duality from self-interaction | Latex, 7 pages | null | 10.1142/S0217732301005576 | null | hep-th | null | The non-abelian self-dual action in three dimensions is derived using the
self-interaction mechanism.
| [
{
"created": "Thu, 29 Mar 2001 23:25:51 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Khoudeir",
"Adel",
""
]
] | The non-abelian self-dual action in three dimensions is derived using the self-interaction mechanism. |
2008.10407 | Carlos Bercini | Carlos Bercini, Vasco Gon\c{c}alves and Pedro Vieira | Multipoint Bootstrap I: Light-Cone Snowflake OPE and the WL Origin | 8 pages, 4 figures, 1 table and 2 mathematica notebooks. Typos
corrected | Phys. Rev. Lett. 126, 121603 (2021) | 10.1103/PhysRevLett.126.121603 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We initiate an exploration of the conformal bootstrap for $n>4$ point
correlation functions. Here we bootstrap correlation functions of the lightest
scalar gauge invariant operators in planar non-abelian conformal gauge theories
as their locations approach the cusps of a null polygon. For that we consider
consistency of the OPE in the so-called snowflake channel with respect to
cyclicity transformations which leave the null configuration invariant. For
general non-abelian gauge theories this allows us to strongly constrain the OPE
structure constants of up to three large spin $J_j$ operators (and large
polarization quantum number $l_{j}$) to all loop orders. In $ \mathcal{N}=4$ we
fix them completely through the duality to null polygonal Wilson loops and the
recent origin limit of the hexagon explored by Basso, Dixon and Papathanasiou.
| [
{
"created": "Mon, 24 Aug 2020 13:06:34 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Sep 2020 17:39:32 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Oct 2020 11:35:06 GMT",
"version": "v3"
},
{
"created": "Thu, 11 Mar 2021 14:19:53 GMT",
"version": "v4"
}
] | 2021-03-31 | [
[
"Bercini",
"Carlos",
""
],
[
"Gonçalves",
"Vasco",
""
],
[
"Vieira",
"Pedro",
""
]
] | We initiate an exploration of the conformal bootstrap for $n>4$ point correlation functions. Here we bootstrap correlation functions of the lightest scalar gauge invariant operators in planar non-abelian conformal gauge theories as their locations approach the cusps of a null polygon. For that we consider consistency of the OPE in the so-called snowflake channel with respect to cyclicity transformations which leave the null configuration invariant. For general non-abelian gauge theories this allows us to strongly constrain the OPE structure constants of up to three large spin $J_j$ operators (and large polarization quantum number $l_{j}$) to all loop orders. In $ \mathcal{N}=4$ we fix them completely through the duality to null polygonal Wilson loops and the recent origin limit of the hexagon explored by Basso, Dixon and Papathanasiou. |
1011.2344 | Ruth Britto | Ruth Britto, Edoardo Mirabella | Single Cut Integration | v2: corrected typo in abstract | JHEP 1101:135,2011 | 10.1007/JHEP01(2011)135 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an analytic technique for evaluating single cuts for one-loop
integrands, where exactly one propagator is taken to be on shell. Our method
extends the double-cut integration formalism of one-loop amplitudes to the
single-cut case. We argue that single cuts give meaningful information about
amplitudes when taken at the integrand level. We discuss applications to the
computation of tadpole coefficients.
| [
{
"created": "Wed, 10 Nov 2010 11:36:32 GMT",
"version": "v1"
},
{
"created": "Thu, 11 Nov 2010 11:25:07 GMT",
"version": "v2"
}
] | 2011-02-03 | [
[
"Britto",
"Ruth",
""
],
[
"Mirabella",
"Edoardo",
""
]
] | We present an analytic technique for evaluating single cuts for one-loop integrands, where exactly one propagator is taken to be on shell. Our method extends the double-cut integration formalism of one-loop amplitudes to the single-cut case. We argue that single cuts give meaningful information about amplitudes when taken at the integrand level. We discuss applications to the computation of tadpole coefficients. |
1411.0690 | Leonard Susskind | Leonard Susskind | Entanglement is not Enough | 54 pages, 22 figures | null | null | null | hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is the written version of a lecture given at KITP in Oct 2014 on Black
Holes and quantum complexity. I've included (in boldface) various questions
that came up during the lecture and discussions the following day, as well as
the quantitative calculations that form the basis of the arguments.
| [
{
"created": "Mon, 3 Nov 2014 21:01:35 GMT",
"version": "v1"
}
] | 2014-11-05 | [
[
"Susskind",
"Leonard",
""
]
] | This is the written version of a lecture given at KITP in Oct 2014 on Black Holes and quantum complexity. I've included (in boldface) various questions that came up during the lecture and discussions the following day, as well as the quantitative calculations that form the basis of the arguments. |
0803.1013 | Zong-Kuan Guo | Zong-Kuan Guo, Nobuyoshi Ohta | Cosmological Evolution of Dirac-Born-Infeld Field | 9 pages, 1 figure, LaTeX2e, references added, accepted for
publication in JCAP | JCAP 0804:035,2008 | 10.1088/1475-7516/2008/04/035 | KU-TP 020 | hep-th astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the cosmological evolution of the system of a
Dirac-Born-Infeld field plus a perfect fluid. We analyze the existence and
stability of scaling solutions for the AdS throat and the quadratic potential.
We find that the scaling solutions exist when the equation of state of the
perfect fluid is negative and in the ultra-relativistic limit.
| [
{
"created": "Fri, 7 Mar 2008 02:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Apr 2008 02:27:11 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Guo",
"Zong-Kuan",
""
],
[
"Ohta",
"Nobuyoshi",
""
]
] | We investigate the cosmological evolution of the system of a Dirac-Born-Infeld field plus a perfect fluid. We analyze the existence and stability of scaling solutions for the AdS throat and the quadratic potential. We find that the scaling solutions exist when the equation of state of the perfect fluid is negative and in the ultra-relativistic limit. |
hep-th/0504151 | Nick Evans | Riccardo Apreda, Johanna Erdmenger, Nick Evans and Zachary Guralnik | Strong coupling effective Higgs potential and a first order thermal
phase transition from AdS/CFT duality | 23 pages, 5 figures | Phys.Rev. D71 (2005) 126002 | 10.1103/PhysRevD.71.126002 | SHEP-05-11, HU-EP-05-15, MPP-2005-21 | hep-th | null | We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2
supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental
hypermultiplets. At finite temperature T and isospin chemical potential mu, a
potential on the Higgs branch is generated, corresponding to a potential on the
moduli space of instantons in the AdS description. For mu =0, there is a known
first order phase transition around a critical temperature Tc. We find that the
Higgs VEV is a suitable order parameter for this transition; for T>Tc, the
theory is driven to a non-trivial point on the Higgs branch. For non-zero mu
and T=0, the Higgs potential is unbounded from below, leading to an instability
of the field theory due to Bose-Einstein condensation.
| [
{
"created": "Tue, 19 Apr 2005 07:34:24 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Apreda",
"Riccardo",
""
],
[
"Erdmenger",
"Johanna",
""
],
[
"Evans",
"Nick",
""
],
[
"Guralnik",
"Zachary",
""
]
] | We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the AdS description. For mu =0, there is a known first order phase transition around a critical temperature Tc. We find that the Higgs VEV is a suitable order parameter for this transition; for T>Tc, the theory is driven to a non-trivial point on the Higgs branch. For non-zero mu and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation. |
hep-th/9411150 | Ian McArthur | I.N.McArthur | The Berkovits-Vafa Construction and Nonlinear Realizations | 6 pages | Phys.Lett. B342 (1995) 94-98 | 10.1016/0370-2693(94)01455-L | null | hep-th | null | Berkovits and Vafa recently showed that critical string theories can be
considered as critical superstring theories with a special choice of
background. The embedding of the Virasoro algebra into the super-Virasoro
algebra involved in this construction has been extended to the noncritical case
by Berkovits and Ohta. It is shown that the resulting nonlinear realization of
the super-Virasoro algebra can be interpreted using standard techniques from
the theory of nonlinear realizations. This extends earlier work of Kunitomo.
| [
{
"created": "Mon, 21 Nov 1994 06:39:36 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"McArthur",
"I. N.",
""
]
] | Berkovits and Vafa recently showed that critical string theories can be considered as critical superstring theories with a special choice of background. The embedding of the Virasoro algebra into the super-Virasoro algebra involved in this construction has been extended to the noncritical case by Berkovits and Ohta. It is shown that the resulting nonlinear realization of the super-Virasoro algebra can be interpreted using standard techniques from the theory of nonlinear realizations. This extends earlier work of Kunitomo. |
1206.6272 | Marcos Marino | Marcos Marino | Lectures on non-perturbative effects in large N gauge theories, matrix
models and strings | 95 pages, many figures; v2: misprints corrected, clarifications added | null | 10.1002/prop.201400005 | null | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In these lectures I present a review of non-perturbative instanton effects in
quantum theories, with a focus on large N gauge theories and matrix models. I
first consider the structure of these effects in the case of ordinary
differential equations, which provide a model for more complicated theories,
and I introduce in a pedagogical way some technology from resurgent analysis,
like trans-series and the resurgent version of the Stokes phenomenon. After
reviewing instanton effects in quantum mechanics and quantum field theory, I
address general aspects of large N instantons and then present a detailed
review of non-perturbative effects in matrix models. Finally, I also consider
two applications of these techniques in string theory
| [
{
"created": "Wed, 27 Jun 2012 14:13:06 GMT",
"version": "v1"
},
{
"created": "Fri, 31 Jan 2014 09:34:28 GMT",
"version": "v2"
}
] | 2021-01-13 | [
[
"Marino",
"Marcos",
""
]
] | In these lectures I present a review of non-perturbative instanton effects in quantum theories, with a focus on large N gauge theories and matrix models. I first consider the structure of these effects in the case of ordinary differential equations, which provide a model for more complicated theories, and I introduce in a pedagogical way some technology from resurgent analysis, like trans-series and the resurgent version of the Stokes phenomenon. After reviewing instanton effects in quantum mechanics and quantum field theory, I address general aspects of large N instantons and then present a detailed review of non-perturbative effects in matrix models. Finally, I also consider two applications of these techniques in string theory |
0804.2764 | Sanjaye Ramgoolam | Sanjaye Ramgoolam | Schur-Weyl duality as an instrument of Gauge-String duality | 10 pages,talk given at ``Ten years of AdS/CFT,'' Buenos Aires,
December 19-21, 2007 | AIPConf.Proc.1031:255-265,2008 | 10.1063/1.2972012 | QMUL-PH-08-09 | hep-th math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A class of mathematical dualities have played a central role in mapping
states in gauge theory to states in the spacetime string theory dual. This
includes the classical Schur-Weyl duality between symmetric groups and Unitary
groups, as well as generalisations involving Brauer and Hecke algebras. The
physical string dualities involved include examples from the AdS/CFT
correspondence as well as the string dual of two-dimensional Yang Mills.
| [
{
"created": "Thu, 17 Apr 2008 10:57:48 GMT",
"version": "v1"
},
{
"created": "Tue, 6 May 2008 10:37:37 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Ramgoolam",
"Sanjaye",
""
]
] | A class of mathematical dualities have played a central role in mapping states in gauge theory to states in the spacetime string theory dual. This includes the classical Schur-Weyl duality between symmetric groups and Unitary groups, as well as generalisations involving Brauer and Hecke algebras. The physical string dualities involved include examples from the AdS/CFT correspondence as well as the string dual of two-dimensional Yang Mills. |
hep-th/0510079 | Arbab Ibrahim Arbab | Arbab I. Arbab | Cosmological Models in the Generalized Einstein Action | 14 Latex pages, no figures | Abraham Zelamnov Journal, V.1, 3, 2009 | null | null | hep-th astro-ph gr-qc | null | We have studied the evolution of the Universe in the generalized Einstein
action of the form $R+\beta R^2$, where $R$ is the scalar curvature and
$\beta=\rm const.$. We have found exact cosmological solutions that predict the
present cosmic acceleration. These models also allow an inflationary de-Sitter
era occurring in the early Universe. The cosmological constant ($\Lambda$) is
found to decay with the Hubble constant ($H$) as, $\Lambda\propto H^4$. In this
scenario the cosmological constant varies quadratically with the energy density
($\rho$), i.e., $\Lambda\propto \rho^2$. Such a variation is found to describe
a two-component cosmic fluid in the Universe. One of the component accelerated
the Universe in the early era, and the other in the present era. The scale
factor of the Universe varies as $a\sim t^{n}$, $n=1/2$ in the radiation era.
The cosmological constant vanishes when $n=4/3$ and $n=1/2$. We have found that
the inclusion of the term $R^2$ mimics a cosmic matter that could substitute
the ordinary matter.
| [
{
"created": "Mon, 10 Oct 2005 18:19:03 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Oct 2007 22:04:33 GMT",
"version": "v2"
}
] | 2008-11-21 | [
[
"Arbab",
"Arbab I.",
""
]
] | We have studied the evolution of the Universe in the generalized Einstein action of the form $R+\beta R^2$, where $R$ is the scalar curvature and $\beta=\rm const.$. We have found exact cosmological solutions that predict the present cosmic acceleration. These models also allow an inflationary de-Sitter era occurring in the early Universe. The cosmological constant ($\Lambda$) is found to decay with the Hubble constant ($H$) as, $\Lambda\propto H^4$. In this scenario the cosmological constant varies quadratically with the energy density ($\rho$), i.e., $\Lambda\propto \rho^2$. Such a variation is found to describe a two-component cosmic fluid in the Universe. One of the component accelerated the Universe in the early era, and the other in the present era. The scale factor of the Universe varies as $a\sim t^{n}$, $n=1/2$ in the radiation era. The cosmological constant vanishes when $n=4/3$ and $n=1/2$. We have found that the inclusion of the term $R^2$ mimics a cosmic matter that could substitute the ordinary matter. |
1502.01428 | Jialin Zhang | Jia-Lin Zhang, Rong-Gen Cai and Hongwei Yu | Phase transition and Thermodynamical geometry of
Reissner-Nordstr\"om-AdS Black Holes in Extended Phase Space | 24pages,12 figures. arXiv admin note: substantial text overlap with
arXiv:1409.5305 | Phys.Rev. D 91, 044028 (2015) | 10.1103/PhysRevD.91.044028 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the thermodynamics and thermodynamic geometry of a five-dimensional
Reissner-Nordstr\"om-AdS black hole in the extended phase space by treating the
cosmological constant as being related to the number of colors in the boundary
gauge theory and its conjugate quantity as the associated chemical potential.
It is found that the contribution of the charge of the black hole to the
chemical potential is always positive and the existence of charge make the
chemical potential become positive more easily. We calculate the scalar
curvatures of the thermodynamical Weinhold metric, Ruppeiner metric and Quevedo
metric, respectively, in the fixed $N^2$ case and the fixed $q$ case. It is
found that in the fixed $N^2$ case the divergence of the scalar curvature is
related to the divergence of the specific heat with fixed electric potential in
the Weinhold metric and Ruppeiner metric, and the divergence of the scalar
curvature in the Quevedo metric corresponds to the divergence of the specific
heat with fixed electric charge density. In the fixed $q$ case, however, the
divergence of the scalar curvature is related to the divergence of the specific
heat with fixed chemical potential in the Weinhold metric and Ruppeiner metric,
while in the Quevedo metric the divergence of the scalar curvature corresponds
to the divergence of the specific heat with fixed number of colors and the
vanishing of the specific heat with fixed chemical potential.
| [
{
"created": "Thu, 5 Feb 2015 04:03:24 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Zhang",
"Jia-Lin",
""
],
[
"Cai",
"Rong-Gen",
""
],
[
"Yu",
"Hongwei",
""
]
] | We study the thermodynamics and thermodynamic geometry of a five-dimensional Reissner-Nordstr\"om-AdS black hole in the extended phase space by treating the cosmological constant as being related to the number of colors in the boundary gauge theory and its conjugate quantity as the associated chemical potential. It is found that the contribution of the charge of the black hole to the chemical potential is always positive and the existence of charge make the chemical potential become positive more easily. We calculate the scalar curvatures of the thermodynamical Weinhold metric, Ruppeiner metric and Quevedo metric, respectively, in the fixed $N^2$ case and the fixed $q$ case. It is found that in the fixed $N^2$ case the divergence of the scalar curvature is related to the divergence of the specific heat with fixed electric potential in the Weinhold metric and Ruppeiner metric, and the divergence of the scalar curvature in the Quevedo metric corresponds to the divergence of the specific heat with fixed electric charge density. In the fixed $q$ case, however, the divergence of the scalar curvature is related to the divergence of the specific heat with fixed chemical potential in the Weinhold metric and Ruppeiner metric, while in the Quevedo metric the divergence of the scalar curvature corresponds to the divergence of the specific heat with fixed number of colors and the vanishing of the specific heat with fixed chemical potential. |
hep-th/9803258 | Jorge Ananias Neto | Wilson Oliveira and Jorge Ananias Neto | The non-abelian BFFT formalism for the collective coordinates
quantization of the SU(2) Skyrme model | Revised version. To appear in Nucl. Phys. B | Nucl.Phys. B533 (1998) 611-626 | 10.1016/S0550-3213(98)00477-5 | DF/UFJF-98-02 | hep-th | null | The collective coordinates expansion of the Skyrme soliton particle model
gives rise to the second class constraints. We use the non-abelian BFFT
formalism to convert this system into the one with only first class
constraints. Choosing two different structure functions of the non-abelian
algebra, we obtain simplified algebraic expressions for the first class
non-abelian Hamiltonians. This result shows that the non-abelian BFFT method
is, in many aspects, richer than the abelian BFFT formalism. For both of the
first class Hamiltonians, we derive the Lagrangians which lead to the new
theory. When one puts the extended phase space variables equal to zero, the
original Skyrmion Lagrangian is reproduced. The method of the Dirac first class
constraints is employed to quantize these two systems. We achieve the same
spectrum, a result which confirms the consistency of the non-abelian BFFT
formalism.
| [
{
"created": "Tue, 31 Mar 1998 14:38:54 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jun 1998 14:11:28 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Oliveira",
"Wilson",
""
],
[
"Neto",
"Jorge Ananias",
""
]
] | The collective coordinates expansion of the Skyrme soliton particle model gives rise to the second class constraints. We use the non-abelian BFFT formalism to convert this system into the one with only first class constraints. Choosing two different structure functions of the non-abelian algebra, we obtain simplified algebraic expressions for the first class non-abelian Hamiltonians. This result shows that the non-abelian BFFT method is, in many aspects, richer than the abelian BFFT formalism. For both of the first class Hamiltonians, we derive the Lagrangians which lead to the new theory. When one puts the extended phase space variables equal to zero, the original Skyrmion Lagrangian is reproduced. The method of the Dirac first class constraints is employed to quantize these two systems. We achieve the same spectrum, a result which confirms the consistency of the non-abelian BFFT formalism. |
1012.2000 | Ian Jack | I. Jack and R. Purdy | Renormalisation of the non-anticommutativity parameter at two loops | 16 pages, 4 figures, introduction extended | null | 10.1007/JHEP01(2011)052 | LTH 899 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present evidence that the non-anticommutativity parameter for the N=1/2
supersymmetric SU(N)XU(1) gauge theory is unrenormalised through two loops.
| [
{
"created": "Thu, 9 Dec 2010 13:37:13 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Dec 2010 10:22:24 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Jack",
"I.",
""
],
[
"Purdy",
"R.",
""
]
] | We present evidence that the non-anticommutativity parameter for the N=1/2 supersymmetric SU(N)XU(1) gauge theory is unrenormalised through two loops. |
0903.5088 | Andre Lukas | Lara B. Anderson, James Gray, Andre Lukas, Burt Ovrut | The Edge Of Supersymmetry: Stability Walls in Heterotic Theory | 12 pages, Latex, 2 eps figures. Figure 2 has been replaced in v2.
Minor typos corrected | Phys.Lett.B677:190-194,2009 | 10.1016/j.physletb.2009.05.025 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explicitly describe, in the language of four-dimensional N=1
supersymmetric field theory, what happens when the moduli of a heterotic
Calabi-Yau compactification change so as to make the internal non-Abelian gauge
fields non-supersymmetric. At the edge of the region in Kahler moduli space
where supersymmetry can be preserved, an additional anomalous U(1) gauge
symmetry appears in the four-dimensional theory. The D-term contribution to the
scalar potential associated to this U(1) attempts to force the system back into
a supersymmetric configuration and provides a consistent low-energy description
of gauge bundle stability.
| [
{
"created": "Mon, 30 Mar 2009 11:13:03 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Dec 2009 21:54:52 GMT",
"version": "v2"
}
] | 2009-12-15 | [
[
"Anderson",
"Lara B.",
""
],
[
"Gray",
"James",
""
],
[
"Lukas",
"Andre",
""
],
[
"Ovrut",
"Burt",
""
]
] | We explicitly describe, in the language of four-dimensional N=1 supersymmetric field theory, what happens when the moduli of a heterotic Calabi-Yau compactification change so as to make the internal non-Abelian gauge fields non-supersymmetric. At the edge of the region in Kahler moduli space where supersymmetry can be preserved, an additional anomalous U(1) gauge symmetry appears in the four-dimensional theory. The D-term contribution to the scalar potential associated to this U(1) attempts to force the system back into a supersymmetric configuration and provides a consistent low-energy description of gauge bundle stability. |
hep-th/0111238 | Allan Joseph Medved | A.J.M. Medved (University of Alberta) | dS/CFT Duality on the Brane with a Topological Twist | 24 pages, Latex; references added and Section 5 enhanced | Class.Quant.Grav. 19 (2002) 919-934 | 10.1088/0264-9381/19/5/306 | null | hep-th | null | We consider a brane universe in an asymptotically de Sitter background
spacetime of arbitrary dimensionality. In particular, the bulk spacetime is
described by a ``topological de Sitter'' solution, which has recently been
investigated by Cai, Myung and Zhang. In the current study, we begin by showing
that the brane evolution is described by Friedmann-like equations for radiative
matter. Next, on the basis of the dS/CFT correspondence, we identify the
thermodynamic properties of the brane universe. We then demonstrate that many
(if not all) of the holographic aspects of analogous AdS-bulk scenarios
persist. These include a (generalized) Cardy-Verlinde form for the CFT entropy
and various coincidences when the brane crosses the cosmological horizon.
| [
{
"created": "Tue, 27 Nov 2001 20:33:02 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Dec 2001 01:58:06 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Medved",
"A. J. M.",
"",
"University of Alberta"
]
] | We consider a brane universe in an asymptotically de Sitter background spacetime of arbitrary dimensionality. In particular, the bulk spacetime is described by a ``topological de Sitter'' solution, which has recently been investigated by Cai, Myung and Zhang. In the current study, we begin by showing that the brane evolution is described by Friedmann-like equations for radiative matter. Next, on the basis of the dS/CFT correspondence, we identify the thermodynamic properties of the brane universe. We then demonstrate that many (if not all) of the holographic aspects of analogous AdS-bulk scenarios persist. These include a (generalized) Cardy-Verlinde form for the CFT entropy and various coincidences when the brane crosses the cosmological horizon. |
2005.09466 | Enrique Alvarez | Enrique Alvarez | Windows on Quantum Gravity | 73 pages; 7 figures. Lectures on quantum gravity. Small changes;
references added | null | 10.1002/prop.202000080 | IFT-UAM/CSIC-20-58; FTUAM-20-8 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | These are notes for a graduate course in quantum gravity planned at
IFT-UAM/CSIC for the spring term of 2020, but delayed for an indefinite period
of time (although a shortened version was given in the Escuela de Fisica
(Institute of Physics) in the University of Costa Rica.). The aim of the course
was to highlight the most important conceptual problems in the field and to
summarize some of the most imaginative solutions to them that have been
proposed in the literature. The course can best be characterized as
idiosyncratic rather than encyclopedic.
| [
{
"created": "Tue, 19 May 2020 14:10:13 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2020 10:31:02 GMT",
"version": "v2"
}
] | 2021-02-03 | [
[
"Alvarez",
"Enrique",
""
]
] | These are notes for a graduate course in quantum gravity planned at IFT-UAM/CSIC for the spring term of 2020, but delayed for an indefinite period of time (although a shortened version was given in the Escuela de Fisica (Institute of Physics) in the University of Costa Rica.). The aim of the course was to highlight the most important conceptual problems in the field and to summarize some of the most imaginative solutions to them that have been proposed in the literature. The course can best be characterized as idiosyncratic rather than encyclopedic. |
hep-th/0312196 | Leonardo Rastelli | Davide Gaiotto and Leonardo Rastelli | A paradigm of open/closed duality: Liouville D-branes and the Kontsevich
model | v2: References added; a new section with generalization to non-zero
bulk cosmological constant; expanded discussion on topological localization;
added some comments | JHEP 0507:053,2005 | 10.1088/1126-6708/2005/07/053 | PUPT-2103 | hep-th | null | We argue that topological matrix models (matrix models of the Kontsevich
type) are examples of exact open/closed duality. The duality works at finite N
and for generic `t Hooft couplings. We consider in detail the paradigm of the
Kontsevich model for two-dimensional topological gravity. We demonstrate that
the Kontsevich model arises by topological localization of cubic open string
field theory on N stable branes. Our analysis is based on standard worldsheet
methods in the context of non-critical bosonic string theory. The stable branes
have Neumann (FZZT) boundary conditions in the Liouville direction. Several
generalizations are possible.
| [
{
"created": "Wed, 17 Dec 2003 16:53:24 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 2004 00:40:14 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"Gaiotto",
"Davide",
""
],
[
"Rastelli",
"Leonardo",
""
]
] | We argue that topological matrix models (matrix models of the Kontsevich type) are examples of exact open/closed duality. The duality works at finite N and for generic `t Hooft couplings. We consider in detail the paradigm of the Kontsevich model for two-dimensional topological gravity. We demonstrate that the Kontsevich model arises by topological localization of cubic open string field theory on N stable branes. Our analysis is based on standard worldsheet methods in the context of non-critical bosonic string theory. The stable branes have Neumann (FZZT) boundary conditions in the Liouville direction. Several generalizations are possible. |
2306.10801 | Manish Ramchander | Sitender Pratap Kashyap, Roji Pius, Manish Ramchander | Theory dependence of black hole interior reconstruction and the extended
strong subadditivity | Arguments in the previous version depended crucially on an assumption
in section 4, which may not hold in general. In this version without
resorting to any assumptions, we use the extended strong subadditivity due to
Carlen and Lieb and reach the same conclusion. The title and the entire
presentation of the paper has been changed | null | 10.1007/JHEP10(2023)190 | null | hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | An AdS eternal black hole in equilibrium with a finite temperature bath
presents a Hawking-like information paradox due to a continuous exchange of
radiation with the bath. The non-perturbative gravitational effect, the replica
wormhole, cures this paradox by introducing a non-trivial entanglement wedge
for the bath after Page time. In this paper, we analyse the theory dependence
of this non-perturbative effect by randomising the boundary conditions of some
of the bulk matter fields. We explicitly analyse this in JT gravity by
introducing a matter CFT in the AdS region with random boundary conditions at
the AdS boundary that are drawn from a distribution. Using the island formula
and the extended strong subadditivity due to Carlen and Lieb, we show that at
late times the black hole interior is contained inside the entanglement wedge
of a reference Hilbert space that encodes the information about the random
boundary conditions. Consequently, the reconstruction of the black hole
interior from the radiation, in particular the region near the singularity,
requires a detailed knowledge of the theory.
| [
{
"created": "Mon, 19 Jun 2023 09:39:34 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2023 16:51:59 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Aug 2023 07:16:23 GMT",
"version": "v3"
}
] | 2024-08-02 | [
[
"Kashyap",
"Sitender Pratap",
""
],
[
"Pius",
"Roji",
""
],
[
"Ramchander",
"Manish",
""
]
] | An AdS eternal black hole in equilibrium with a finite temperature bath presents a Hawking-like information paradox due to a continuous exchange of radiation with the bath. The non-perturbative gravitational effect, the replica wormhole, cures this paradox by introducing a non-trivial entanglement wedge for the bath after Page time. In this paper, we analyse the theory dependence of this non-perturbative effect by randomising the boundary conditions of some of the bulk matter fields. We explicitly analyse this in JT gravity by introducing a matter CFT in the AdS region with random boundary conditions at the AdS boundary that are drawn from a distribution. Using the island formula and the extended strong subadditivity due to Carlen and Lieb, we show that at late times the black hole interior is contained inside the entanglement wedge of a reference Hilbert space that encodes the information about the random boundary conditions. Consequently, the reconstruction of the black hole interior from the radiation, in particular the region near the singularity, requires a detailed knowledge of the theory. |
0912.0011 | Anzhong Wang | Jared Greenwald, Antonios Papazoglou, and Anzhong Wang | Black holes and stars in Horava-Lifshitz theory with projectability
condition | The relations between energy-momentum tensors used in HL theory and
GR are considered, and the singular behavior of the trace of extrinsic
curvature is presented. References are updated. Version to appear in Physical
Reviews D. | Phys.Rev.D81:084046,2010 | 10.1103/PhysRevD.81.084046 | null | hep-th astro-ph.CO gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We systematically study spherically symmetric static spacetimes filled with a
fluid in the Horava-Lifshitz theory of gravity with the projectability
condition, but without the detailed balance. We establish that when the
spacetime is spatially Ricci flat the unique vacuum solution is the de Sitter
Schwarzshcild solution, while when the spacetime has a nonzero constant
curvature, there exist two different vacuum solutions; one is an (Einstein)
static universe, and the other is a new spacetime. This latter spacetime is
maximally symmetric and not flat. We find all the perfect fluid solutions for
such spacetimes, in addition to a class of anisotropic fluid solutions of the
spatially Ricci flat spacetimes. To construct spacetimes that represent stars,
we investigate junction conditions across the surfaces of stars and obtain the
general matching conditions with or without the presence of infinitely thin
shells. It is remarkable that, in contrast to general relativity, the radial
pressure of a star does not necessarily vanish on its surface even without the
presence of a thin shell, due to the presence of high order derivative terms.
Applying the junction conditions to our explicit solutions, we show that it is
possible to match smoothly these solutions (all with nonzero radial pressures)
to vacuum spacetimes without the presence of thin matter shells on the surfaces
of stars.
| [
{
"created": "Tue, 1 Dec 2009 20:40:11 GMT",
"version": "v1"
},
{
"created": "Wed, 20 Jan 2010 05:06:47 GMT",
"version": "v2"
},
{
"created": "Fri, 9 Apr 2010 18:19:51 GMT",
"version": "v3"
}
] | 2010-05-12 | [
[
"Greenwald",
"Jared",
""
],
[
"Papazoglou",
"Antonios",
""
],
[
"Wang",
"Anzhong",
""
]
] | We systematically study spherically symmetric static spacetimes filled with a fluid in the Horava-Lifshitz theory of gravity with the projectability condition, but without the detailed balance. We establish that when the spacetime is spatially Ricci flat the unique vacuum solution is the de Sitter Schwarzshcild solution, while when the spacetime has a nonzero constant curvature, there exist two different vacuum solutions; one is an (Einstein) static universe, and the other is a new spacetime. This latter spacetime is maximally symmetric and not flat. We find all the perfect fluid solutions for such spacetimes, in addition to a class of anisotropic fluid solutions of the spatially Ricci flat spacetimes. To construct spacetimes that represent stars, we investigate junction conditions across the surfaces of stars and obtain the general matching conditions with or without the presence of infinitely thin shells. It is remarkable that, in contrast to general relativity, the radial pressure of a star does not necessarily vanish on its surface even without the presence of a thin shell, due to the presence of high order derivative terms. Applying the junction conditions to our explicit solutions, we show that it is possible to match smoothly these solutions (all with nonzero radial pressures) to vacuum spacetimes without the presence of thin matter shells on the surfaces of stars. |
hep-th/9706190 | Patrizia Vitale | G. Bimonte, R. Musto, A. Stern and P. Vitale | 2+1 Einstein Gravity as a Deformed Chern-Simons Theory | Latex file, 26 pages, no figures | Int.J.Mod.Phys. A13 (1998) 4023-4048 | 10.1142/S0217751X98001888 | DSF-29/97, UAHEP-9710 | hep-th gr-qc math.QA q-alg | null | The usual description of 2+1 dimensional Einstein gravity as a Chern-Simons
(CS) theory is extended to a one parameter family of descriptions of 2+1
Einstein gravity. This is done by replacing the Poincare' gauge group symmetry
by a q-deformed Poincare' gauge group symmetry, with the former recovered when
q-> 1. As a result, we obtain a one parameter family of Hamiltonian
formulations for 2+1 gravity. Although formulated in terms of noncommuting
dreibeins and spin-connection fields, our expression for the action and our
field equations, appropriately ordered, are identical in form to the ordinary
ones. Moreover, starting with a properly defined metric tensor, the usual
metric theory can be built; the Christoffel symbols and space-time curvature
having the usual expressions in terms of the metric tensor, and being
represented by c-numbers. In this article, we also couple the theory to
particle sources, and find that these sources carry exotic angular momentum.
Finally, problems related to the introduction of a cosmological constant are
discussed.
| [
{
"created": "Thu, 26 Jun 1997 14:14:56 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Bimonte",
"G.",
""
],
[
"Musto",
"R.",
""
],
[
"Stern",
"A.",
""
],
[
"Vitale",
"P.",
""
]
] | The usual description of 2+1 dimensional Einstein gravity as a Chern-Simons (CS) theory is extended to a one parameter family of descriptions of 2+1 Einstein gravity. This is done by replacing the Poincare' gauge group symmetry by a q-deformed Poincare' gauge group symmetry, with the former recovered when q-> 1. As a result, we obtain a one parameter family of Hamiltonian formulations for 2+1 gravity. Although formulated in terms of noncommuting dreibeins and spin-connection fields, our expression for the action and our field equations, appropriately ordered, are identical in form to the ordinary ones. Moreover, starting with a properly defined metric tensor, the usual metric theory can be built; the Christoffel symbols and space-time curvature having the usual expressions in terms of the metric tensor, and being represented by c-numbers. In this article, we also couple the theory to particle sources, and find that these sources carry exotic angular momentum. Finally, problems related to the introduction of a cosmological constant are discussed. |
hep-th/0209099 | Timothy J. Hollowood | Nick Dorey, Timothy J. Hollowood, S. Prem Kumar and Annamaria
Sinkovics | Massive Vacua of N=1* Theory and S-duality from Matrix Models | 9 pages, JHEP.cls | JHEP 0211:040,2002 | 10.1088/1126-6708/2002/11/040 | null | hep-th | null | In this note we show how Dijkgraaf and Vafa's hypothesis relating the exact
superpotential of an N=1 theory to a matrix model can be used to describe all
the massive vacua of the N=1*, or mass deformed N=4, theory including the Higgs
vacuum. The matrix model computation of the superpotential for each massive
vacuum independently yields a modular function of the associated effective
coupling in that vacuum which agrees with previously derived results up to a
vacuum-independent additive constant. The results in the different massive
vacua can be related by the action of SL(2,Z) on the N=4 coupling, thus
providing evidence for modular invariance of the underlying N=4 theory.
| [
{
"created": "Thu, 12 Sep 2002 15:12:27 GMT",
"version": "v1"
}
] | 2011-04-15 | [
[
"Dorey",
"Nick",
""
],
[
"Hollowood",
"Timothy J.",
""
],
[
"Kumar",
"S. Prem",
""
],
[
"Sinkovics",
"Annamaria",
""
]
] | In this note we show how Dijkgraaf and Vafa's hypothesis relating the exact superpotential of an N=1 theory to a matrix model can be used to describe all the massive vacua of the N=1*, or mass deformed N=4, theory including the Higgs vacuum. The matrix model computation of the superpotential for each massive vacuum independently yields a modular function of the associated effective coupling in that vacuum which agrees with previously derived results up to a vacuum-independent additive constant. The results in the different massive vacua can be related by the action of SL(2,Z) on the N=4 coupling, thus providing evidence for modular invariance of the underlying N=4 theory. |
0906.4517 | Aalok Misra | Aalok Misra, Pramod Shukla | Swiss Cheese D3-D7 Soft SUSY Breaking | 1+62 pages, 1 table, LaTeX; minor changes in title and text, to
appear in NPB | null | 10.1016/j.nuclphysb.2009.10.023 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In type IIB large volume compactifications involving orientifolds of the
Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling
D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and
supporting D7-brane fluxes, (i) using the toric data and GLSM techniques, we
obtain the geometric Kaehler potential for D_5 in terms of genus-two Siegel
theta functions; (ii) we show that as the D3-brane moves from a particular
embedded non-singular elliptic curve to another one, it is possible to obtain
10^{12}GeV gravitino during the inflationary era as well as a TeV gravitino in
the present era, for the same vol(CY)~10^6l_s^6; (iii) by constructing local
appropriate involutively-odd harmonic one-form on D_5 that lies in the cokernel
of the pullback of the immersion map, we show that it is possible to obtain an
O(1) g_{YM} from the wrapping of D7-branes on D_5 due to competing
contributions from the Wilson line moduli relative to the divisor volume
modulus (to permit gaugino condensation [gc], we consistently consider zero
sections of ND_5) - to simplify we restrict the D3-brane to D_5 which means
W_gc=0; (iv) we obtain gaugino masses of the order of gravitino mass and the
matter fields' masses to be enhanced relative to the gravitino mass; (v) the
anomaly-mediated gaugino masses are found to be suppressed relative to the
gravity-mediated gaugino masses by the standard loop factor; (vi) new
sub-dominant mu-terms are obtained from section of the (small) divisor bundle
encoding information about the ED3- instanton fluctuation determinant; (vii) we
obtain a (near)universality in the masses, hat(mu), hat(Y) and the
hat(mu)B-terms for the D3 position moduli and a hierarchy in the same set and a
universality in the A-terms on inclusion of D7 Wilson line moduli.
| [
{
"created": "Wed, 24 Jun 2009 16:33:13 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Jun 2009 17:27:00 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Oct 2009 05:30:11 GMT",
"version": "v3"
}
] | 2015-05-13 | [
[
"Misra",
"Aalok",
""
],
[
"Shukla",
"Pramod",
""
]
] | In type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau [11169] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (D_5) and supporting D7-brane fluxes, (i) using the toric data and GLSM techniques, we obtain the geometric Kaehler potential for D_5 in terms of genus-two Siegel theta functions; (ii) we show that as the D3-brane moves from a particular embedded non-singular elliptic curve to another one, it is possible to obtain 10^{12}GeV gravitino during the inflationary era as well as a TeV gravitino in the present era, for the same vol(CY)~10^6l_s^6; (iii) by constructing local appropriate involutively-odd harmonic one-form on D_5 that lies in the cokernel of the pullback of the immersion map, we show that it is possible to obtain an O(1) g_{YM} from the wrapping of D7-branes on D_5 due to competing contributions from the Wilson line moduli relative to the divisor volume modulus (to permit gaugino condensation [gc], we consistently consider zero sections of ND_5) - to simplify we restrict the D3-brane to D_5 which means W_gc=0; (iv) we obtain gaugino masses of the order of gravitino mass and the matter fields' masses to be enhanced relative to the gravitino mass; (v) the anomaly-mediated gaugino masses are found to be suppressed relative to the gravity-mediated gaugino masses by the standard loop factor; (vi) new sub-dominant mu-terms are obtained from section of the (small) divisor bundle encoding information about the ED3- instanton fluctuation determinant; (vii) we obtain a (near)universality in the masses, hat(mu), hat(Y) and the hat(mu)B-terms for the D3 position moduli and a hierarchy in the same set and a universality in the A-terms on inclusion of D7 Wilson line moduli. |
1609.08500 | Hari Kunduri | Sharmila Gunasekaran, Uzair Hussain, Hari K. Kunduri | Soliton mechanics | 18 pages, 3 figures | Phys. Rev. D 94, 124029 (2016) | 10.1103/PhysRevD.94.124029 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The domain of outer communication of five-dimensional asymptotically flat
stationary spacetimes may possess non-trivial 2-cycles (bubbles). Spacetimes
containing such 2-cycles can have non-zero energy, angular momenta, and charge
even in the absence of horizons. A mass variation formula has been established
for spacetimes containing bubbles and possibly a black hole horizon. This
`first law of black hole and soliton mechanics' contains new intensive and
extensive quantities associated to each 2-cycle. We consider examples of such
spacetimes for which we explicitly calculate these quantities and show how
regularity is essential for the formulae relating them to hold. We also derive
new explicit expressions for the angular momenta and charge for spacetimes
containing solitons purely in terms of fluxes supporting the bubbles.
| [
{
"created": "Tue, 27 Sep 2016 15:38:10 GMT",
"version": "v1"
}
] | 2016-12-28 | [
[
"Gunasekaran",
"Sharmila",
""
],
[
"Hussain",
"Uzair",
""
],
[
"Kunduri",
"Hari K.",
""
]
] | The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles (bubbles). Spacetimes containing such 2-cycles can have non-zero energy, angular momenta, and charge even in the absence of horizons. A mass variation formula has been established for spacetimes containing bubbles and possibly a black hole horizon. This `first law of black hole and soliton mechanics' contains new intensive and extensive quantities associated to each 2-cycle. We consider examples of such spacetimes for which we explicitly calculate these quantities and show how regularity is essential for the formulae relating them to hold. We also derive new explicit expressions for the angular momenta and charge for spacetimes containing solitons purely in terms of fluxes supporting the bubbles. |
2105.09106 | Yang Zhou | Jinwei Chu, Feiyu Deng, Yang Zhou | Page Curve from Defect Extremal Surface and Island in Higher Dimensions | 45 pages, 18 figures | JHEP 10 (2021) 149 | 10.1007/JHEP10(2021)149 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Defect extremal surface is defined by minimizing the Ryu-Takayanagi surface
corrected by the defect theory, which is useful when the RT surface crosses or
terminates on the defect. Based on the decomposition procedure of a AdS bulk
with a defect brane, proposed in arXiv:2012.07612, we derive Page curve in a
time dependent set up of AdS$_3$/BCFT$_2$, and find that the result from island
formula agrees with defect extremal surface formula precisely. We then extend
the study to higher dimensions and find that the entropy computed from bulk
defect extremal surface is generally less than that from island formula in
boundary low energy effective theory, which implies that the UV completion of
island formula gives a smaller entropy in higher dimensions.
| [
{
"created": "Wed, 19 May 2021 12:57:52 GMT",
"version": "v1"
}
] | 2021-10-20 | [
[
"Chu",
"Jinwei",
""
],
[
"Deng",
"Feiyu",
""
],
[
"Zhou",
"Yang",
""
]
] | Defect extremal surface is defined by minimizing the Ryu-Takayanagi surface corrected by the defect theory, which is useful when the RT surface crosses or terminates on the defect. Based on the decomposition procedure of a AdS bulk with a defect brane, proposed in arXiv:2012.07612, we derive Page curve in a time dependent set up of AdS$_3$/BCFT$_2$, and find that the result from island formula agrees with defect extremal surface formula precisely. We then extend the study to higher dimensions and find that the entropy computed from bulk defect extremal surface is generally less than that from island formula in boundary low energy effective theory, which implies that the UV completion of island formula gives a smaller entropy in higher dimensions. |
2109.06184 | Sylvain Carrozza | Sylvain Carrozza and Philipp A. Hoehn | Edge modes as reference frames and boundary actions from post-selection | 76 pages, comments welcome; v4: journal version, accepted in JHEP | J. High Energ. Phys. 2022, 172 (2022) | 10.1007/JHEP02(2022)172 | null | hep-th gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We introduce a general framework realizing edge modes in (classical) gauge
field theory as dynamical reference frames, an often suggested interpretation
that we make entirely explicit. We focus on a bounded region $M$ with a
co-dimension one time-like boundary $\Gamma$, which we embed in a global
spacetime. Taking as input a variational principle at the global level, we
develop a systematic formalism inducing consistent variational principles (and
in particular, boundary actions) for the subregion $M$. This relies on a
post-selection procedure on $\Gamma$, which isolates the subsector of the
global theory compatible with a general choice of gauge-invariant boundary
conditions for the dynamics in $M$. Crucially, the latter relate the
configuration fields on $\Gamma$ to a dynamical frame field carrying
information about the spacetime complement of $M$; as such, they may be
equivalently interpreted as frame-dressed or relational observables.
Generically, the external frame field keeps an imprint on the ensuing dynamics
for subregion $M$, where it materializes itself as a local field on the
time-like boundary $\Gamma$; in other words, an edge mode. We identify boundary
symmetries as frame reorientations and show that they divide into three types,
depending on the boundary conditions, that affect the physical status of the
edge modes. Our construction relies on the covariant phase space formalism, and
is in principle applicable to any gauge (field) theory. We illustrate it on
three standard examples: Maxwell, Abelian Chern-Simons and non-Abelian
Yang-Mills theories. In complement, we also analyze a mechanical toy-model to
connect our work with recent efforts on (quantum) reference frames.
| [
{
"created": "Mon, 13 Sep 2021 18:00:00 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Sep 2021 09:48:30 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Oct 2021 14:03:12 GMT",
"version": "v3"
},
{
"created": "Thu, 3 Feb 2022 15:36:43 GMT",
"version": "v4"
}
] | 2022-02-24 | [
[
"Carrozza",
"Sylvain",
""
],
[
"Hoehn",
"Philipp A.",
""
]
] | We introduce a general framework realizing edge modes in (classical) gauge field theory as dynamical reference frames, an often suggested interpretation that we make entirely explicit. We focus on a bounded region $M$ with a co-dimension one time-like boundary $\Gamma$, which we embed in a global spacetime. Taking as input a variational principle at the global level, we develop a systematic formalism inducing consistent variational principles (and in particular, boundary actions) for the subregion $M$. This relies on a post-selection procedure on $\Gamma$, which isolates the subsector of the global theory compatible with a general choice of gauge-invariant boundary conditions for the dynamics in $M$. Crucially, the latter relate the configuration fields on $\Gamma$ to a dynamical frame field carrying information about the spacetime complement of $M$; as such, they may be equivalently interpreted as frame-dressed or relational observables. Generically, the external frame field keeps an imprint on the ensuing dynamics for subregion $M$, where it materializes itself as a local field on the time-like boundary $\Gamma$; in other words, an edge mode. We identify boundary symmetries as frame reorientations and show that they divide into three types, depending on the boundary conditions, that affect the physical status of the edge modes. Our construction relies on the covariant phase space formalism, and is in principle applicable to any gauge (field) theory. We illustrate it on three standard examples: Maxwell, Abelian Chern-Simons and non-Abelian Yang-Mills theories. In complement, we also analyze a mechanical toy-model to connect our work with recent efforts on (quantum) reference frames. |
hep-th/0105212 | Paul Steinhardt | Justin Khoury, Burt A. Ovrut, Paul J. Steinhardt and Neil Turok | A Brief Comment on "The Pyrotechnic Universe" | 4 pages | null | null | null | hep-th astro-ph hep-ph | null | We respond to the criticisms by Kallosh, Kofman and Linde concerning our
proposal of the ekpyrotic universe scenario. We point out a number of errors in
their considerations and argue that, at this stage, the ekpyrotic model is a
possible alternative to inflationary cosmology as a description of the very
early universe.
| [
{
"created": "Tue, 22 May 2001 00:34:33 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Khoury",
"Justin",
""
],
[
"Ovrut",
"Burt A.",
""
],
[
"Steinhardt",
"Paul J.",
""
],
[
"Turok",
"Neil",
""
]
] | We respond to the criticisms by Kallosh, Kofman and Linde concerning our proposal of the ekpyrotic universe scenario. We point out a number of errors in their considerations and argue that, at this stage, the ekpyrotic model is a possible alternative to inflationary cosmology as a description of the very early universe. |
0901.4579 | Juha J\"aykk\"a | Juha J\"aykk\"a | Stability of topological solitons in modified two-component
Ginzburg-Landau model | v4: Fixed some citations and acknowledgements; 6 pages, 4 figures; to
be published in Phys. Rev. D | Phys.Rev.D79:065006,2009 | 10.1103/PhysRevD.79.065006 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the stability of Hopfions embedded in a certain modification
Ginzburg-Landau model of two equally charged condensates. It has been shown by
Ward [Phys. Rev. D66, 041701(R) (2002)] that certain modification of the
ordinary model results in system which supports stable topological solitons
(Hopfions) for some values of the parameters of the model. We expand the search
for stability into previously uninvestigated region of the parameter space,
charting an approximate shape for the stable/unstable boundary and find that,
within the accuracy of the numerical methods used, the energy of the stable
knot at the boundary is independent of the parameters.
| [
{
"created": "Wed, 28 Jan 2009 23:47:38 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Feb 2009 11:11:03 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Feb 2009 15:42:15 GMT",
"version": "v3"
},
{
"created": "Thu, 26 Feb 2009 15:57:00 GMT",
"version": "v4"
}
] | 2009-12-04 | [
[
"Jäykkä",
"Juha",
""
]
] | We study the stability of Hopfions embedded in a certain modification Ginzburg-Landau model of two equally charged condensates. It has been shown by Ward [Phys. Rev. D66, 041701(R) (2002)] that certain modification of the ordinary model results in system which supports stable topological solitons (Hopfions) for some values of the parameters of the model. We expand the search for stability into previously uninvestigated region of the parameter space, charting an approximate shape for the stable/unstable boundary and find that, within the accuracy of the numerical methods used, the energy of the stable knot at the boundary is independent of the parameters. |
1811.12375 | Ronnie Rodgers | Ronnie Rodgers | Holographic entanglement entropy from probe M-theory branes | 28 pages, one appendix, 24 PDF files in 8 figures | null | 10.1007/JHEP03(2019)092 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the holographic entanglement entropy contribution from planar
two-dimensional defects in six-dimensional $\mathcal{N}=(2,0)$ superconformal
field theory, holographically dual to probe M2- and M5-branes in $AdS_7 \times
S^4$. In particular, we test the viability of the universal contribution of the
defect to entanglement entropy as a candidate $C$-function. We find that this
coefficient is not monotonic under defect renormalization group flows triggered
by the vacuum expectation value of a marginal operator. Another candidate
$C$-function, the on-shell action inside the entanglement wedge, monotonically
decreases under the flows we study.
| [
{
"created": "Thu, 29 Nov 2018 18:36:37 GMT",
"version": "v1"
}
] | 2019-03-27 | [
[
"Rodgers",
"Ronnie",
""
]
] | We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional $\mathcal{N}=(2,0)$ superconformal field theory, holographically dual to probe M2- and M5-branes in $AdS_7 \times S^4$. In particular, we test the viability of the universal contribution of the defect to entanglement entropy as a candidate $C$-function. We find that this coefficient is not monotonic under defect renormalization group flows triggered by the vacuum expectation value of a marginal operator. Another candidate $C$-function, the on-shell action inside the entanglement wedge, monotonically decreases under the flows we study. |
hep-th/9609113 | Jose M. Figueroa-O'Farrill | JM Figueroa-O'Farrill | A note on the extended superconformal algebras associated with manifolds
of exceptional holonomy | LaTeX 2e (needs elsart.cls + amstex.sty), 11 pages. Added two
references, a footnote, and corrected a typo | Phys.Lett. B392 (1997) 77-84 | 10.1016/S0370-2693(96)01506-7 | QMW-PH-96-25 | hep-th | null | It was observed some time ago by Shatashvili and Vafa that superstring
compactification on manifolds of exceptional holonomy gives rise to
superconformal field theories with extended chiral algebras. In their paper,
free field realisations are given of these extended superconformal algebras
inspired by Joyce's constructions of such manifolds as desingularised toroidal
orbifolds. The purpose of this note is to give another realisation of these
algebras starting not from free fields, but from the superconformal algebras
associated to Calabi--Yau manifolds. These superconformal algebras, originally
studied by Odake, are extensions of the N=2 Virasoro algebra. For the case of
G_2 holonomy, our realisation is inspired in the conjectured construction of
such manifolds as a desingularisation of (K x S^1)/Z_2, where K is a
Calabi--Yau 3-fold admitting an antiholomorphic involution. Similarly, for the
case of Spin(7) holonomy our realisation suggests a construction of such
manifolds as desingularisations of K'/Z_2, where K' is a Calabi-Yau 4-fold
admitting an antiholomorphic involution.
| [
{
"created": "Sat, 14 Sep 1996 15:55:27 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Sep 1996 18:52:38 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Figueroa-O'Farrill",
"JM",
""
]
] | It was observed some time ago by Shatashvili and Vafa that superstring compactification on manifolds of exceptional holonomy gives rise to superconformal field theories with extended chiral algebras. In their paper, free field realisations are given of these extended superconformal algebras inspired by Joyce's constructions of such manifolds as desingularised toroidal orbifolds. The purpose of this note is to give another realisation of these algebras starting not from free fields, but from the superconformal algebras associated to Calabi--Yau manifolds. These superconformal algebras, originally studied by Odake, are extensions of the N=2 Virasoro algebra. For the case of G_2 holonomy, our realisation is inspired in the conjectured construction of such manifolds as a desingularisation of (K x S^1)/Z_2, where K is a Calabi--Yau 3-fold admitting an antiholomorphic involution. Similarly, for the case of Spin(7) holonomy our realisation suggests a construction of such manifolds as desingularisations of K'/Z_2, where K' is a Calabi-Yau 4-fold admitting an antiholomorphic involution. |
hep-th/0403032 | A. Tureanu | M. Chaichian and A. Tureanu | Jost-Lehmann-Dyson Representation and Froissart-Martin Bound in Quantum
Field Theory on Noncommutative Space-Time | 28 pages | null | null | null | hep-th | null | In the framework of quantum field theory (QFT) on noncommutative (NC)
space-time with $SO(1,1)\times SO(2)$ symmetry, which is the feature arising
when one has only space-space noncommutativity ($\theta_{0i}=0$), we prove that
the Jost-Lehmann-Dyson representation, based on the causality condition usually
taken in connection with this symmetry, leads to the mere impossibility of
drawing any conclusion on the analyticity of the $2\to 2$-scattering amplitude
in $\cos\Theta$, $\Theta$ being the scattering angle. A physical choice of the
causality condition rescues the situation and as a result an analog of
Lehmann's ellipse as domain of analyticity in $\cos\Theta$ is obtained.
However, the enlargement of this analyticity domain to Martin's ellipse and the
derivation of the Froissart bound for the total cross-section in NC QFT is
possible {\it only} in the special case when the incoming momentum is
orthogonal to the NC plane. This is the first example of a nonlocal theory in
which the cross-sections are subject to a high-energy bound. For the general
configuration of the direction of the incoming particle, although the
scattering amplitude is still analytic in the Lehmann ellipse, no bound on the
total cross-section has been derived. This is due to the lack of a simple
unitarity constraint on the partial-wave amplitudes, which could be used in
this case. High-energy upper bounds on the total cross-section, among others,
are also obtained for an arbitrary flat (noncompact) dimension of NC
space-time.
| [
{
"created": "Tue, 2 Mar 2004 10:37:54 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2004 10:13:23 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Chaichian",
"M.",
""
],
[
"Tureanu",
"A.",
""
]
] | In the framework of quantum field theory (QFT) on noncommutative (NC) space-time with $SO(1,1)\times SO(2)$ symmetry, which is the feature arising when one has only space-space noncommutativity ($\theta_{0i}=0$), we prove that the Jost-Lehmann-Dyson representation, based on the causality condition usually taken in connection with this symmetry, leads to the mere impossibility of drawing any conclusion on the analyticity of the $2\to 2$-scattering amplitude in $\cos\Theta$, $\Theta$ being the scattering angle. A physical choice of the causality condition rescues the situation and as a result an analog of Lehmann's ellipse as domain of analyticity in $\cos\Theta$ is obtained. However, the enlargement of this analyticity domain to Martin's ellipse and the derivation of the Froissart bound for the total cross-section in NC QFT is possible {\it only} in the special case when the incoming momentum is orthogonal to the NC plane. This is the first example of a nonlocal theory in which the cross-sections are subject to a high-energy bound. For the general configuration of the direction of the incoming particle, although the scattering amplitude is still analytic in the Lehmann ellipse, no bound on the total cross-section has been derived. This is due to the lack of a simple unitarity constraint on the partial-wave amplitudes, which could be used in this case. High-energy upper bounds on the total cross-section, among others, are also obtained for an arbitrary flat (noncompact) dimension of NC space-time. |
1705.03091 | Ayush Saurabh | Ayush Saurabh, Tanmay Vachaspati | Monopole-antimonopole Interaction Potential | Published Version. (7 pages, 12 figures, 1 table) | Phys. Rev. D 96, 103536 (2017) | 10.1103/PhysRevD.96.103536 | null | hep-th hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically study the interactions of twisted monopole-antimonopole pairs
in the 't Hooft-Polyakov model for a range of values of the scalar to vector
mass ratio. We also recover the sphaleron solution at maximum twist discovered
by Taubes, and map out its energy and size as functions of parameters.
| [
{
"created": "Mon, 8 May 2017 21:17:25 GMT",
"version": "v1"
},
{
"created": "Sat, 20 May 2017 01:30:28 GMT",
"version": "v2"
},
{
"created": "Mon, 19 Feb 2018 20:15:01 GMT",
"version": "v3"
}
] | 2018-02-21 | [
[
"Saurabh",
"Ayush",
""
],
[
"Vachaspati",
"Tanmay",
""
]
] | We numerically study the interactions of twisted monopole-antimonopole pairs in the 't Hooft-Polyakov model for a range of values of the scalar to vector mass ratio. We also recover the sphaleron solution at maximum twist discovered by Taubes, and map out its energy and size as functions of parameters. |
hep-th/9909017 | Moshe Rozali | Arvind Rajaraman and Moshe Rozali | D-Branes in Linear Dilaton Backgrounds | 14 pages, Latex. Typos corrected and references added | JHEP 9912 (1999) 005 | 10.1088/1126-6708/1999/12/005 | RUNHETC-99-32 | hep-th | null | We construct a Dirichlet boundary state for linear dilaton backgrounds. The
state is conformally invariant and satisfies Cardy's conditions. We apply this
construction to two dimensional string theory.
| [
{
"created": "Fri, 3 Sep 1999 16:19:31 GMT",
"version": "v1"
},
{
"created": "Tue, 7 Sep 1999 21:55:04 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Rajaraman",
"Arvind",
""
],
[
"Rozali",
"Moshe",
""
]
] | We construct a Dirichlet boundary state for linear dilaton backgrounds. The state is conformally invariant and satisfies Cardy's conditions. We apply this construction to two dimensional string theory. |
1111.5623 | Sera Cremonini | Sera Cremonini, Phillip Szepietowski | Generating Temperature Flow for eta/s with Higher Derivatives: From
Lifshitz to AdS | Plots and references added. Journal version of the paper | null | 10.1007/JHEP02(2012)038 | null | hep-th gr-qc hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider charged dilatonic black branes in AdS_5 and examine the effects
of perturbative higher derivative corrections on the ratio of shear viscosity
to entropy density eta/s of the dual plasma. The structure of eta/s is
controlled by the relative hierarchy between the two scales in the plasma, the
temperature and the chemical potential. In this model the background
near-horizon geometry interpolates between a Lifshitz-like brane at low
temperature, and an AdS brane at high temperatures -- with AdS asymptotics in
both cases. As a result, in this construction the viscosity to entropy ratio
flows as a function of temperature, from a value in the IR which is sensitive
to the dynamical exponent z, to the simple result expected for an AdS brane in
the UV. Coupling the scalar directly to the higher derivative terms generates
additional temperature dependence, and leads to a particularly interesting
structure for eta/s in the IR.
| [
{
"created": "Wed, 23 Nov 2011 21:04:20 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Dec 2011 20:49:29 GMT",
"version": "v2"
},
{
"created": "Tue, 7 Feb 2012 14:35:48 GMT",
"version": "v3"
}
] | 2015-06-03 | [
[
"Cremonini",
"Sera",
""
],
[
"Szepietowski",
"Phillip",
""
]
] | We consider charged dilatonic black branes in AdS_5 and examine the effects of perturbative higher derivative corrections on the ratio of shear viscosity to entropy density eta/s of the dual plasma. The structure of eta/s is controlled by the relative hierarchy between the two scales in the plasma, the temperature and the chemical potential. In this model the background near-horizon geometry interpolates between a Lifshitz-like brane at low temperature, and an AdS brane at high temperatures -- with AdS asymptotics in both cases. As a result, in this construction the viscosity to entropy ratio flows as a function of temperature, from a value in the IR which is sensitive to the dynamical exponent z, to the simple result expected for an AdS brane in the UV. Coupling the scalar directly to the higher derivative terms generates additional temperature dependence, and leads to a particularly interesting structure for eta/s in the IR. |
1507.02280 | Daniel Are\'an | Daniel Arean, Leopoldo A. Pando Zayas, Ignacio Salazar Landea,
Antonello Scardicchio | The Holographic Disorder-Driven Superconductor-Metal Transition | 7 pages, 8 figures. v2: minor improvements of the Higgs mode and
smeared phase transition discussions. Typos corrected. Published version | Phys. Rev. D 94, 106003 (2016) | 10.1103/PhysRevD.94.106003 | MPP-2015-151, MCTP-15-08 | hep-th cond-mat.str-el cond-mat.supr-con | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We implement the effects of disorder on a holographic superconductor by
introducing a random chemical potential on the boundary. We demonstrate
explicitly that increasing disorder leads to the formation of islands where the
superconducting order is enhanced and subsequently to the transition to a
metal. We study the behavior of the superfluid density and of the conductivity
as a function of the strength of disorder. We find explanations for various
marked features in the conductivities in terms of hydrodynamic quasi-normal
modes of the holographic superconductors. These identifications plus a
particular disorder-dependent spectral weight shift in the conductivity point
to a signature of the Higgs mode in the context of disordered holographic
superconductors. We observe that the behavior of the order parameter close to
the transition is not mean-field type as in the clean case, rather we find
robust agreement with $\exp(- A\, |T-T_c|^{-\nu})$, with $\nu =1.03\pm 0.02 $
for this disorder-driven smeared transition.
| [
{
"created": "Wed, 8 Jul 2015 20:00:28 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2016 15:33:48 GMT",
"version": "v2"
}
] | 2016-11-15 | [
[
"Arean",
"Daniel",
""
],
[
"Zayas",
"Leopoldo A. Pando",
""
],
[
"Landea",
"Ignacio Salazar",
""
],
[
"Scardicchio",
"Antonello",
""
]
] | We implement the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We demonstrate explicitly that increasing disorder leads to the formation of islands where the superconducting order is enhanced and subsequently to the transition to a metal. We study the behavior of the superfluid density and of the conductivity as a function of the strength of disorder. We find explanations for various marked features in the conductivities in terms of hydrodynamic quasi-normal modes of the holographic superconductors. These identifications plus a particular disorder-dependent spectral weight shift in the conductivity point to a signature of the Higgs mode in the context of disordered holographic superconductors. We observe that the behavior of the order parameter close to the transition is not mean-field type as in the clean case, rather we find robust agreement with $\exp(- A\, |T-T_c|^{-\nu})$, with $\nu =1.03\pm 0.02 $ for this disorder-driven smeared transition. |
hep-th/9407042 | Blau Matthias | Matthias Blau and George Thompson | Equivariant Kaehler Geometry and Localization in the G/G Model | LaTex file, 40 A4 pages, IC/94/108 and ENSLAPP-L-469/94 | Nucl.Phys. B439 (1995) 367-394 | 10.1016/0550-3213(95)00058-Z | null | hep-th | null | We analyze in detail the equivariant supersymmetry of the $G/G$ model. In
spite of the fact that this supersymmetry does not model the infinitesimal
action of the group of gauge transformations, localization can be established
by standard arguments. The theory localizes onto reducible connections and a
careful evaluation of the fixed point contributions leads to an alternative
derivation of the Verlinde formula for the $G_{k}$ WZW model. We show that the
supersymmetry of the $G/G$ model can be regarded as an infinite dimensional
realization of Bismut's theory of equivariant Bott-Chern currents on K\"ahler
manifolds, thus providing a convenient cohomological setting for understanding
the Verlinde formula. We also show that the supersymmetry is related to a
non-linear generalization (q-deformation) of the ordinary moment map of
symplectic geometry in which a representation of the Lie algebra of a group $G$
is replaced by a representation of its group algebra with commutator $[g,h] =
gh-hg$. In the large $k$ limit it reduces to the ordinary moment map of
two-dimensional gauge theories.
| [
{
"created": "Thu, 7 Jul 1994 14:08:41 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Blau",
"Matthias",
""
],
[
"Thompson",
"George",
""
]
] | We analyze in detail the equivariant supersymmetry of the $G/G$ model. In spite of the fact that this supersymmetry does not model the infinitesimal action of the group of gauge transformations, localization can be established by standard arguments. The theory localizes onto reducible connections and a careful evaluation of the fixed point contributions leads to an alternative derivation of the Verlinde formula for the $G_{k}$ WZW model. We show that the supersymmetry of the $G/G$ model can be regarded as an infinite dimensional realization of Bismut's theory of equivariant Bott-Chern currents on K\"ahler manifolds, thus providing a convenient cohomological setting for understanding the Verlinde formula. We also show that the supersymmetry is related to a non-linear generalization (q-deformation) of the ordinary moment map of symplectic geometry in which a representation of the Lie algebra of a group $G$ is replaced by a representation of its group algebra with commutator $[g,h] = gh-hg$. In the large $k$ limit it reduces to the ordinary moment map of two-dimensional gauge theories. |
hep-th/0403284 | Sijie Gao | Sijie Gao and Jose' P. S. Lemos | The covariant entropy bound in gravitational collapse | 11 pages, 5 figures, a few minor changes | JHEP 0404 (2004) 017 | 10.1088/1126-6708/2004/04/017 | null | hep-th gr-qc | null | We study the covariant entropy bound in the context of gravitational
collapse. First, we discuss critically the heuristic arguments advanced by
Bousso. Then we solve the problem through an exact model: a Tolman-Bondi dust
shell collapsing into a Schwarzschild black hole. After the collapse, a new
black hole with a larger mass is formed. The horizon, $L$, of the old black
hole then terminates at the singularity. We show that the entropy crossing $L$
does not exceed a quarter of the area of the old horizon. Therefore, the
covariant entropy bound is satisfied in this process.
| [
{
"created": "Tue, 30 Mar 2004 13:37:06 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2004 14:00:32 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gao",
"Sijie",
""
],
[
"Lemos",
"Jose' P. S.",
""
]
] | We study the covariant entropy bound in the context of gravitational collapse. First, we discuss critically the heuristic arguments advanced by Bousso. Then we solve the problem through an exact model: a Tolman-Bondi dust shell collapsing into a Schwarzschild black hole. After the collapse, a new black hole with a larger mass is formed. The horizon, $L$, of the old black hole then terminates at the singularity. We show that the entropy crossing $L$ does not exceed a quarter of the area of the old horizon. Therefore, the covariant entropy bound is satisfied in this process. |
1109.6109 | Ken-Ji Hamada | Ken-ji Hamada | Background Free Quantum Gravity based on Conformal Gravity and Conformal
Field Theory on M^4 | 43 pages, eqs.(3.9) and (6.18) corrected | Phys. Rev. D 85, 024028 (2012) | 10.1103/PhysRevD.85.024028 | KEK-TH-1495 | hep-th gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study four dimensional quantum gravity formulated as a certain conformal
field theory at the ultraviolet fixed point, whose dynamics is described by the
combined system of Riegert-Wess-Zumino and Weyl actions. Background free nature
comes out as quantum diffeomorphism symmetry by quantizing the conformal factor
of the metric field nonperturbatively. In this paper, Minkowski background M^4
is employed in practice. The generator of quantum diffeomorphism that forms
conformal algebra is constructed. Using it, we study the composite scalar
operator that becomes a good conformal field. We find that physical fields are
described by such scalar fields with conformal dimension 4. Consequently,
tensor fields outside the unitarity bound are excluded. Computations of quantum
algebra on M^4 are carried out in the coordinate space using operator products
of the fields. The nilpotent BRST operator is also constructed.
| [
{
"created": "Wed, 28 Sep 2011 06:40:03 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2012 06:58:36 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Apr 2016 05:19:12 GMT",
"version": "v3"
}
] | 2016-04-11 | [
[
"Hamada",
"Ken-ji",
""
]
] | We study four dimensional quantum gravity formulated as a certain conformal field theory at the ultraviolet fixed point, whose dynamics is described by the combined system of Riegert-Wess-Zumino and Weyl actions. Background free nature comes out as quantum diffeomorphism symmetry by quantizing the conformal factor of the metric field nonperturbatively. In this paper, Minkowski background M^4 is employed in practice. The generator of quantum diffeomorphism that forms conformal algebra is constructed. Using it, we study the composite scalar operator that becomes a good conformal field. We find that physical fields are described by such scalar fields with conformal dimension 4. Consequently, tensor fields outside the unitarity bound are excluded. Computations of quantum algebra on M^4 are carried out in the coordinate space using operator products of the fields. The nilpotent BRST operator is also constructed. |
hep-th/0209028 | John R. Hiller | S.J. Brodsky, J.R. Hiller, G. McCartor | The mass renormalization of nonperturbative light-front Hamiltonian
theory: An illustration using truncated, Pauli-Villars-regulated Yukawa
interactions | Revision includes new title, expanded introduction, and new Figs. 1 &
2 | Ann.Phys.305:266-285,2003 | 10.1016/S0003-4916(03)00063-0 | SLAC-PUB-9482, UMN-D-02-3, SMUHEP/02-01 | hep-th hep-ph | null | We obtain analytic, nonperturbative, approximate solutions of Yukawa theory
in the one-fermion sector using light-front quantization. The theory is
regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar
and fermion fields, each with negative norm. In order to obtain a directly
soluble problem, fermion-pair creation and annihilation are neglected, and the
number of bosonic constituents is limited to one of either type. We discuss
some of the features of the wave function of the eigensolution, including its
endpoint behavior and spin and orbital angular momentum content. The limit of
infinite Pauli-Villars mass receives special scrutiny.
| [
{
"created": "Tue, 3 Sep 2002 22:44:31 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Feb 2003 16:48:50 GMT",
"version": "v2"
}
] | 2015-06-26 | [
[
"Brodsky",
"S. J.",
""
],
[
"Hiller",
"J. R.",
""
],
[
"McCartor",
"G.",
""
]
] | We obtain analytic, nonperturbative, approximate solutions of Yukawa theory in the one-fermion sector using light-front quantization. The theory is regulated in the ultraviolet by the introduction of heavy Pauli-Villars scalar and fermion fields, each with negative norm. In order to obtain a directly soluble problem, fermion-pair creation and annihilation are neglected, and the number of bosonic constituents is limited to one of either type. We discuss some of the features of the wave function of the eigensolution, including its endpoint behavior and spin and orbital angular momentum content. The limit of infinite Pauli-Villars mass receives special scrutiny. |
2011.15053 | Patricio Salgado-Rebolledo | Joaquim Gomis, Diego Hidalgo, Patricio Salgado-Rebolledo | Non-relativistic and Carrollian limits of Jackiw-Teitelboim gravity | 44 pages, typos corrected | null | 10.1007/JHEP05(2021)162 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the non-relativistic and Carrollian versions of
Jackiw-Teitelboim gravity. In the second order formulation, there are no
divergences in the non-relativistic and Carrollian limits. Instead, in the
first order formalism there are divergences that can be avoided by starting
from a relativistic BF theory with (A)dS2$\times\mathbb{R}$ gauge algebra. We
show how to define the boundary duals of the gravity actions using the method
of non-linear realisations and suitable Inverse Higgs constraints. In
particular, the non-relativistic version of the Schwarzian action is
constructed in this way. We derive the asymptotic symmetries of the theory, as
well as the corresponding conserved charges and Newton-Cartan geometric
structure. Finally, we show how the same construction applies to the Carrollian
case.
| [
{
"created": "Mon, 30 Nov 2020 17:51:18 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Dec 2020 12:24:08 GMT",
"version": "v2"
}
] | 2023-01-11 | [
[
"Gomis",
"Joaquim",
""
],
[
"Hidalgo",
"Diego",
""
],
[
"Salgado-Rebolledo",
"Patricio",
""
]
] | We construct the non-relativistic and Carrollian versions of Jackiw-Teitelboim gravity. In the second order formulation, there are no divergences in the non-relativistic and Carrollian limits. Instead, in the first order formalism there are divergences that can be avoided by starting from a relativistic BF theory with (A)dS2$\times\mathbb{R}$ gauge algebra. We show how to define the boundary duals of the gravity actions using the method of non-linear realisations and suitable Inverse Higgs constraints. In particular, the non-relativistic version of the Schwarzian action is constructed in this way. We derive the asymptotic symmetries of the theory, as well as the corresponding conserved charges and Newton-Cartan geometric structure. Finally, we show how the same construction applies to the Carrollian case. |
hep-th/0603190 | Sean A. Hartnoll | Sean A. Hartnoll and S. Prem Kumar | Multiply wound Polyakov loops at strong coupling | 1+24 pages, 4 figures, LaTeX, improved discussion of results | Phys.Rev.D74:026001,2006 | 10.1103/PhysRevD.74.026001 | null | hep-th | null | We study the expectation value of a Polyakov-Maldacena loop that wraps the
thermal circle k times in strongly coupled N=4 super Yang-Mills theory. This is
achieved by considering probe D3 and D5 brane embeddings in the dual black hole
geometry. In contrast to multiply wound spatial Wilson loops, nontrivial
dependence on k is captured through D5 branes. We find N^{-2/3} corrections,
reminiscent of the scaling behaviour near a Gross-Witten transition.
| [
{
"created": "Fri, 24 Mar 2006 14:10:08 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 2006 15:11:33 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hartnoll",
"Sean A.",
""
],
[
"Kumar",
"S. Prem",
""
]
] | We study the expectation value of a Polyakov-Maldacena loop that wraps the thermal circle k times in strongly coupled N=4 super Yang-Mills theory. This is achieved by considering probe D3 and D5 brane embeddings in the dual black hole geometry. In contrast to multiply wound spatial Wilson loops, nontrivial dependence on k is captured through D5 branes. We find N^{-2/3} corrections, reminiscent of the scaling behaviour near a Gross-Witten transition. |
hep-th/0610122 | Francesco Toppan | Zhanna Kuznetsova and Francesco Toppan | Superalgebras of (split-)division algebras and the split octonionic
M-theory in (6,5)-signature | 16 pages | null | null | CBPF-NF-014/06 | hep-th math-ph math.MP | null | The connection of (split-)division algebras with Clifford algebras and
supersymmetry is investigated. At first we introduce the class of superalgebras
constructed from any given (split-)division algebra. We further specify which
real Clifford algebras and real fundamental spinors can be reexpressed in terms
of split-quaternions. Finally, we construct generalized supersymmetries
admitting bosonic tensorial central charges in terms of (split-)division
algebras. In particular we prove that split-octonions allow to introduce a
split-octonionic M-algebra which extends to the (6,5) signature the properties
of the 11-dimensional octonionic M-algebras (which only exist in the (10,1)
Minkowskian and (2,9) signatures).
| [
{
"created": "Tue, 10 Oct 2006 23:24:32 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kuznetsova",
"Zhanna",
""
],
[
"Toppan",
"Francesco",
""
]
] | The connection of (split-)division algebras with Clifford algebras and supersymmetry is investigated. At first we introduce the class of superalgebras constructed from any given (split-)division algebra. We further specify which real Clifford algebras and real fundamental spinors can be reexpressed in terms of split-quaternions. Finally, we construct generalized supersymmetries admitting bosonic tensorial central charges in terms of (split-)division algebras. In particular we prove that split-octonions allow to introduce a split-octonionic M-algebra which extends to the (6,5) signature the properties of the 11-dimensional octonionic M-algebras (which only exist in the (10,1) Minkowskian and (2,9) signatures). |
hep-th/9612234 | Kenji Hamada | K. Hamada | Vertex Operators for Super Yang-Mills and Multi D-Branes in
Green-Schwarz Superstring | Latex, 16 pages | Nucl.Phys. B497 (1997) 511-524 | 10.1016/S0550-3213(97)00221-6 | KEK-TH-504 | hep-th | null | We study vertex operators for super Yang-Mills and multi D-branes in
covariant form using Green-Schwarz formalism. We introduce the contact terms
naturally and prove space-time supersymmetry and gauge invariance. The
nonlinear realization of broken supersymmetry in the presence of D-branes is
also discussed. The shift of fermionic coordinate \delta^{(-)}\Psi =\eta
becomes exact symmetry of D-brane in the static gauge, where $\eta$ is a
constant spinor in U(1) direction.
| [
{
"created": "Thu, 26 Dec 1996 07:27:19 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Jan 1997 04:37:35 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Hamada",
"K.",
""
]
] | We study vertex operators for super Yang-Mills and multi D-branes in covariant form using Green-Schwarz formalism. We introduce the contact terms naturally and prove space-time supersymmetry and gauge invariance. The nonlinear realization of broken supersymmetry in the presence of D-branes is also discussed. The shift of fermionic coordinate \delta^{(-)}\Psi =\eta becomes exact symmetry of D-brane in the static gauge, where $\eta$ is a constant spinor in U(1) direction. |
0803.2041 | Christoffer Petersson | Riccardo Argurio, Gabriele Ferretti, Christoffer Petersson | Instantons and Toric Quiver Gauge Theories | 42 pages, footnote 2 added, references upgraded | JHEP 0807:123,2008 | 10.1088/1126-6708/2008/07/123 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show how to construct the general action coupling (multi)instantons to
gauge theories arising from branes probing arbitrary toric singularities. We
give a general set of rules for how to construct such an action given the
knowledge of the superpotential for the gauge theory. The main idea is to
obtain the action by higgsing a theory whose instanton dynamics is known,
namely an orbifold of N=4 super Yang-Mills. We find that the couplings of the
fermionic zero-modes with the holomorphic fields are dictated by the structure
of the superpotential describing the toric singularity. We present explicit
examples such as the Suspended Pinch Point, the Conifold and the first three
del Pezzo's. We perform various checks on these results by further higgsing to
smaller orbifolds and present some applications, including both gauge theory
and stringy instantons.
| [
{
"created": "Fri, 14 Mar 2008 09:56:08 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Apr 2008 15:08:21 GMT",
"version": "v2"
}
] | 2009-12-10 | [
[
"Argurio",
"Riccardo",
""
],
[
"Ferretti",
"Gabriele",
""
],
[
"Petersson",
"Christoffer",
""
]
] | We show how to construct the general action coupling (multi)instantons to gauge theories arising from branes probing arbitrary toric singularities. We give a general set of rules for how to construct such an action given the knowledge of the superpotential for the gauge theory. The main idea is to obtain the action by higgsing a theory whose instanton dynamics is known, namely an orbifold of N=4 super Yang-Mills. We find that the couplings of the fermionic zero-modes with the holomorphic fields are dictated by the structure of the superpotential describing the toric singularity. We present explicit examples such as the Suspended Pinch Point, the Conifold and the first three del Pezzo's. We perform various checks on these results by further higgsing to smaller orbifolds and present some applications, including both gauge theory and stringy instantons. |
hep-th/0404022 | Antonio Gonzalez-Arroyo | Antonio Gonzalez-Arroyo and Alberto Ramos | Expansion for the solutions of the Bogomolny equations on the torus | 26 pages, 8 figures, slightly revised version as published in JHEP | JHEP 0407 (2004) 008 | 10.1088/1126-6708/2004/07/008 | FTUAM-04-04; IFT-UAM/CSIC-00-08 | hep-th | null | We show that the solutions of the Bogomolny equations for the Abelian Higgs
model on a two-dimensional torus, can be expanded in powers of a quantity
epsilon measuring the departure of the area from the critical area. This allows
a precise determination of the shape of the solutions for all magnetic fluxes
and arbitrary position of the Higgs field zeroes. The expansion is carried out
to 51 orders for a couple of representative cases, including the unit flux
case. We analyse the behaviour of the expansion in the limit of large areas, in
which case the solutions approach those on the plane. Our results suggest
convergence all the way up to infinite area.
| [
{
"created": "Fri, 2 Apr 2004 18:58:02 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Jul 2004 10:37:36 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Gonzalez-Arroyo",
"Antonio",
""
],
[
"Ramos",
"Alberto",
""
]
] | We show that the solutions of the Bogomolny equations for the Abelian Higgs model on a two-dimensional torus, can be expanded in powers of a quantity epsilon measuring the departure of the area from the critical area. This allows a precise determination of the shape of the solutions for all magnetic fluxes and arbitrary position of the Higgs field zeroes. The expansion is carried out to 51 orders for a couple of representative cases, including the unit flux case. We analyse the behaviour of the expansion in the limit of large areas, in which case the solutions approach those on the plane. Our results suggest convergence all the way up to infinite area. |
1612.00810 | Peter Koroteev | Anindya Dey, Amihay Hanany, Peter Koroteev, Noppadol Mekareeya | On Three-Dimensional Quiver Gauge Theories of Type B | 39 pages, 7 figures | null | 10.1007/JHEP09(2017)067 | Imperial/TP/16/AH/06 | hep-th math-ph math.MP math.RT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study three-dimensional supersymmetric quiver gauge theories with a
non-simply laced global symmetry primarily focusing on framed affine $B_{N}$
quiver theories. Using a supersymmetric partition function on a three sphere,
and its transformation under S-duality, we study the three-dimensional ADHM
quiver for $SO(2N+1)$ instantons with a half-integer Chern-Simons coupling. The
theory after S-duality has no Lagrangian, and can not be represented by a
single quiver, however its partition function can be conveniently described by
a collection of framed affine ${B}_{N}$ quivers. This correspondence can be
conjectured to generalize three-dimensional mirror symmetry to theories with
nontrivial Chern-Simons terms. In addition, we propose a formula for the
superconformal index of a theory described by a framed affine $B_N$ quiver.
| [
{
"created": "Fri, 2 Dec 2016 19:54:13 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Dey",
"Anindya",
""
],
[
"Hanany",
"Amihay",
""
],
[
"Koroteev",
"Peter",
""
],
[
"Mekareeya",
"Noppadol",
""
]
] | We study three-dimensional supersymmetric quiver gauge theories with a non-simply laced global symmetry primarily focusing on framed affine $B_{N}$ quiver theories. Using a supersymmetric partition function on a three sphere, and its transformation under S-duality, we study the three-dimensional ADHM quiver for $SO(2N+1)$ instantons with a half-integer Chern-Simons coupling. The theory after S-duality has no Lagrangian, and can not be represented by a single quiver, however its partition function can be conveniently described by a collection of framed affine ${B}_{N}$ quivers. This correspondence can be conjectured to generalize three-dimensional mirror symmetry to theories with nontrivial Chern-Simons terms. In addition, we propose a formula for the superconformal index of a theory described by a framed affine $B_N$ quiver. |
2309.07614 | Sunjin Choi | Sunjin Choi, Seunggyu Kim, Jaewon Song | Large $N$ Universality of 4d $\mathcal{N}=1$ Superconformal Index and
AdS Black Holes | 34 pages, 2 figures; v2: reference added, minor correction | null | null | KIAS-P23034 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the large $N$ limit of the matrix models associated with the
superconformal indices of four-dimensional $\mathcal{N}=1$ superconformal field
theories. We find that for a large class of $\mathcal{N}=1$ superconformal
gauge theories, the superconformal indices in the large $N$ limit of such
theories are dominated by the 'parallelogram' saddle, providing $O(N^2)$ free
energy for the generic value of chemical potentials. This saddle corresponds to
BPS black holes in AdS$_5$ whenever a holographic dual description is
available. Our saddle applies to a large class of gauge theories, including ADE
quiver gauge theories, and the theories with rank-2 tensor matters. Our
analysis works for most $\mathcal{N}=1$ superconformal gauge theories that
admit a suitable large $N$ limit while keeping the flavor symmetry fixed. We
also find 'multi-cut' saddle points, which correspond to the orbifolded
Euclidean black holes in AdS$_5$.
| [
{
"created": "Thu, 14 Sep 2023 11:24:47 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Feb 2024 01:50:18 GMT",
"version": "v2"
}
] | 2024-02-05 | [
[
"Choi",
"Sunjin",
""
],
[
"Kim",
"Seunggyu",
""
],
[
"Song",
"Jaewon",
""
]
] | We study the large $N$ limit of the matrix models associated with the superconformal indices of four-dimensional $\mathcal{N}=1$ superconformal field theories. We find that for a large class of $\mathcal{N}=1$ superconformal gauge theories, the superconformal indices in the large $N$ limit of such theories are dominated by the 'parallelogram' saddle, providing $O(N^2)$ free energy for the generic value of chemical potentials. This saddle corresponds to BPS black holes in AdS$_5$ whenever a holographic dual description is available. Our saddle applies to a large class of gauge theories, including ADE quiver gauge theories, and the theories with rank-2 tensor matters. Our analysis works for most $\mathcal{N}=1$ superconformal gauge theories that admit a suitable large $N$ limit while keeping the flavor symmetry fixed. We also find 'multi-cut' saddle points, which correspond to the orbifolded Euclidean black holes in AdS$_5$. |
0908.3938 | Dongmin Gang | Dongmin Gang, Jae-Sung Park, Satoshi Yamaguchi | Operator with large spin and spinning D3-brane | 16 pages, 4 figures. v2: typos corrected, references added, series
expansion of anomalous dimension added. v3: a reference added, comment on
calculation in gauge theory | JHEP 0911:024,2009 | 10.1088/1126-6708/2009/11/024 | SNUTP 09-011 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the conformal dimension of an operator with large spin, using a
spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning
fundamental string. This spinning D3-brane solution seems to correspond to an
operator made by taking trace in a large symmetric representation. The
conformal dimension, the spin and the R-charge show a scaling relation in a
certain region of parameters. In the small string charge limit, the result is
consistent with the fundamental string picture. There is a phase transition
when the fundamental string charge become larger than a certain critical value;
there is no stable D3-brane solution above the critical value.
| [
{
"created": "Thu, 27 Aug 2009 07:57:50 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Sep 2009 02:10:02 GMT",
"version": "v2"
},
{
"created": "Thu, 8 Oct 2009 03:22:33 GMT",
"version": "v3"
}
] | 2009-11-18 | [
[
"Gang",
"Dongmin",
""
],
[
"Park",
"Jae-Sung",
""
],
[
"Yamaguchi",
"Satoshi",
""
]
] | We consider the conformal dimension of an operator with large spin, using a spinning D3-brane with electric flux in AdS_5 x S^5 instead of spinning fundamental string. This spinning D3-brane solution seems to correspond to an operator made by taking trace in a large symmetric representation. The conformal dimension, the spin and the R-charge show a scaling relation in a certain region of parameters. In the small string charge limit, the result is consistent with the fundamental string picture. There is a phase transition when the fundamental string charge become larger than a certain critical value; there is no stable D3-brane solution above the critical value. |
1406.0807 | Samir Mathur | Samir D. Mathur | Remnants, Fuzzballs or Wormholes? | 7 pages, 4 figures (Essay awarded an honorable mention in the Gravity
Research Foundation essay competition 2014) | null | 10.1142/S0218271814420243 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The black hole information paradox has caused enormous confusion over four
decades. But in recent years, the theorem of quantum strong-subaddditivity has
sorted out the possible resolutions into three sharp categories: (A) No new
physics at $r\gg l_p$; this necessarily implies remnants/information loss. A
realization of remnants is given by a baby Universe attached near $r\sim 0$.
(B) Violation of the `no-hair' theorem by nontrivial effects at the horizon
$r\sim M$. This possibility is realized by fuzzballs in string theory, and
gives unitary evaporation. (C) Having the vacuum at the horizon, but requiring
that Hawking quanta at $r\sim M^3$ be somehow identified with degrees of
freedom inside the black hole. A model for this `extreme nonlocality' is
realized by conjecturing that wormholes connect the radiation quanta to the
hole.
| [
{
"created": "Tue, 3 Jun 2014 18:21:09 GMT",
"version": "v1"
}
] | 2015-06-19 | [
[
"Mathur",
"Samir D.",
""
]
] | The black hole information paradox has caused enormous confusion over four decades. But in recent years, the theorem of quantum strong-subaddditivity has sorted out the possible resolutions into three sharp categories: (A) No new physics at $r\gg l_p$; this necessarily implies remnants/information loss. A realization of remnants is given by a baby Universe attached near $r\sim 0$. (B) Violation of the `no-hair' theorem by nontrivial effects at the horizon $r\sim M$. This possibility is realized by fuzzballs in string theory, and gives unitary evaporation. (C) Having the vacuum at the horizon, but requiring that Hawking quanta at $r\sim M^3$ be somehow identified with degrees of freedom inside the black hole. A model for this `extreme nonlocality' is realized by conjecturing that wormholes connect the radiation quanta to the hole. |
hep-th/9811127 | Giovanni Amelino-Camelia | Giovanni Amelino-Camelia and Jean-Pierre Derendinger | On the Relation between Wilson Action and CJT Effective Action | 4 pages, LaTex. To appear in the proceedings of the {6-th
International Conference on Path Integrals from peV to TeV | null | null | NEIP-98-016 | hep-th | null | A relation between Wilson action and the Cornwall-Jackiw-Tomboulis effective
action, which was recently suggested by Periwal, is here derived using
path-integral techniques.
| [
{
"created": "Fri, 13 Nov 1998 15:59:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Amelino-Camelia",
"Giovanni",
""
],
[
"Derendinger",
"Jean-Pierre",
""
]
] | A relation between Wilson action and the Cornwall-Jackiw-Tomboulis effective action, which was recently suggested by Periwal, is here derived using path-integral techniques. |
hep-th/0002178 | Theor. Phys. Group | Qiong-gui Lin | Vacuum polarization for neutral particles in 2+1 dimensions | REVTeX, 7 pages, no figure | J.Phys. G26 (2000) L17-L21 | 10.1088/0954-3899/26/2/101 | null | hep-th | null | In 2+1 dimensions there exists a duality between a charged Dirac particle
coupled minimally to a background vector potential and a neutral one coupled
nonminimally to a background electromagnetic field strength. A constant uniform
background electric current induces in the vacuum of the neutral particle a
fermion current which is proportional to the background one. A background
electromagnetic plane wave induces no current in the vacuum. For constant but
nonuniform background electric charge, known results for charged particles can
be translated to give the induced fermion number. Some new examples with
infinite background electric charge are presented. The induced spin and total
angular momentum are also discussed.
| [
{
"created": "Tue, 22 Feb 2000 02:36:37 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Lin",
"Qiong-gui",
""
]
] | In 2+1 dimensions there exists a duality between a charged Dirac particle coupled minimally to a background vector potential and a neutral one coupled nonminimally to a background electromagnetic field strength. A constant uniform background electric current induces in the vacuum of the neutral particle a fermion current which is proportional to the background one. A background electromagnetic plane wave induces no current in the vacuum. For constant but nonuniform background electric charge, known results for charged particles can be translated to give the induced fermion number. Some new examples with infinite background electric charge are presented. The induced spin and total angular momentum are also discussed. |
1305.2682 | Guo Wuzhong | Wu-zhong Guo, Song He, Jun Tao | Note on Entanglement Temperature for Low Thermal Excited States in
Higher Derivative Gravity | 26 pages, references added, more typos corrected, accepted by JHEP | null | 10.1007/JHEP08(2013)050 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the entanglement temperature of a small scale subsystem in low
excited states by using holographic method. Especially, we study the
entanglement entropy and entanglement temperature in higher derivative
gravities which are considered as low thermal excitation of pure AdS gravity.
We find that the entanglement entropy are related to the central charges of
boundary CFT. The relation between the variance of entanglement entropy and
energy of a small scale subsystem has been also obtained. Furthermore, the
relation is consistent with the first law-like relation that is proposed by
Phys. Rev. Lett. 110, 091602 (2013). Finally, we derive the formula of the
variance of entanglement entropy in general excited states in gravity
background with the Fefferman-Graham coordinates and the entanglement
temperature can be figured out in special case.
| [
{
"created": "Mon, 13 May 2013 06:52:57 GMT",
"version": "v1"
},
{
"created": "Tue, 25 Jun 2013 12:50:29 GMT",
"version": "v2"
},
{
"created": "Fri, 19 Jul 2013 12:26:02 GMT",
"version": "v3"
}
] | 2015-06-15 | [
[
"Guo",
"Wu-zhong",
""
],
[
"He",
"Song",
""
],
[
"Tao",
"Jun",
""
]
] | We investigate the entanglement temperature of a small scale subsystem in low excited states by using holographic method. Especially, we study the entanglement entropy and entanglement temperature in higher derivative gravities which are considered as low thermal excitation of pure AdS gravity. We find that the entanglement entropy are related to the central charges of boundary CFT. The relation between the variance of entanglement entropy and energy of a small scale subsystem has been also obtained. Furthermore, the relation is consistent with the first law-like relation that is proposed by Phys. Rev. Lett. 110, 091602 (2013). Finally, we derive the formula of the variance of entanglement entropy in general excited states in gravity background with the Fefferman-Graham coordinates and the entanglement temperature can be figured out in special case. |
2101.02633 | Derek Harland | Derek Harland and Chris Halcrow | Nucleon-nucleon potential from skyrmion dipole interactions | 40 pages, 3 figures. v3 includes an erratum, which corrects some
errors in the original submission | Nucl Phys B967 (2021) 115430 | 10.1016/j.nuclphysb.2021.115430 | null | hep-th nucl-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We derive the nucleon-nucleon interaction from the Skyrme model using second
order perturbation theory and the dipole approximation to skyrmion dynamics.
Unlike previous derivations, our derivation accounts for the non-trivial
kinetic and potential parts of the skyrmion-skyrmion interaction lagrangian and
how they couple in the quantum calculation. We derive the eight low energy
interaction potentials and compare them with the phenomenological Paris model,
finding qualitative agreement in seven cases.
| [
{
"created": "Thu, 7 Jan 2021 17:06:13 GMT",
"version": "v1"
},
{
"created": "Mon, 24 May 2021 15:38:51 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Aug 2022 16:22:21 GMT",
"version": "v3"
}
] | 2022-08-10 | [
[
"Harland",
"Derek",
""
],
[
"Halcrow",
"Chris",
""
]
] | We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and potential parts of the skyrmion-skyrmion interaction lagrangian and how they couple in the quantum calculation. We derive the eight low energy interaction potentials and compare them with the phenomenological Paris model, finding qualitative agreement in seven cases. |
1309.4523 | Kristan Jensen | Kristan Jensen, Andy O'Bannon | Holography, Entanglement Entropy, and Conformal Field Theories with
Boundaries or Defects | 47 pages plus appendices, 2 figures. arXiv admin note: figure 1 is
taken from arXiv:hep-th/0303249 | Phys. Rev. D 88, 106006 (2013) | 10.1103/PhysRevD.88.106006 | YITP-SB-13-27, DAMTP-2013-54 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study entanglement entropy (EE) in conformal field theories (CFTs) in
Minkowski space with a planar boundary or with a planar defect of any
codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider
the reduced density matrix and associated EE obtained by tracing over the
degrees of freedom outside of a (hemi-)sphere centered on the boundary or
defect. Following Casini, Huerta, and Myers, we map the reduced density matrix
to a thermal density matrix of the same theory on hyperbolic space. The EE maps
to the thermal entropy of the theory on hyperbolic space. For BCFTs and DCFTs
dual holographically to Einstein gravity theories, the thermal entropy is
equivalent to the Bekenstein-Hawking entropy of a hyperbolic black brane. We
show that the horizon of the hyperbolic black brane coincides with the minimal
area surface used in Ryu and Takayanagi's conjecture for the holographic
calculation of EE. We thus prove their conjecture in these cases. We use our
results to compute the R\'enyi entropies and EE in DCFTs in which the defect
corresponds to a probe brane in a holographic dual.
| [
{
"created": "Wed, 18 Sep 2013 02:18:28 GMT",
"version": "v1"
}
] | 2013-11-27 | [
[
"Jensen",
"Kristan",
""
],
[
"O'Bannon",
"Andy",
""
]
] | We study entanglement entropy (EE) in conformal field theories (CFTs) in Minkowski space with a planar boundary or with a planar defect of any codimension. In any such boundary CFT (BCFT) or defect CFT (DCFT), we consider the reduced density matrix and associated EE obtained by tracing over the degrees of freedom outside of a (hemi-)sphere centered on the boundary or defect. Following Casini, Huerta, and Myers, we map the reduced density matrix to a thermal density matrix of the same theory on hyperbolic space. The EE maps to the thermal entropy of the theory on hyperbolic space. For BCFTs and DCFTs dual holographically to Einstein gravity theories, the thermal entropy is equivalent to the Bekenstein-Hawking entropy of a hyperbolic black brane. We show that the horizon of the hyperbolic black brane coincides with the minimal area surface used in Ryu and Takayanagi's conjecture for the holographic calculation of EE. We thus prove their conjecture in these cases. We use our results to compute the R\'enyi entropies and EE in DCFTs in which the defect corresponds to a probe brane in a holographic dual. |
hep-th/9211045 | null | F.Ferrari | Free and Interacting 2-D Maxwell Field Theory on Conformally Flat Space
Times | 22 pages, LMU-TPW 92-8, (plain TeX) | Class.Quant.Grav.10:1065-1082,1993 | 10.1088/0264-9381/10/6/005 | null | hep-th | null | The free Maxwell field theory is quantized in the Lorentz gauge on a two
dimensional manifold $M$ with conformally flat background metric. It is shown
that in this gauge the theory is equivalent, at least at the classical level,
to a biharmonic version of the bosonic string theory. This equivalence is
exploited in order to construct in details the propagator of the Maxwell field
theory on $M$. The expectation values of the Wilson loops are computed. A
trivial result is obtained confirming in the Lorentz gauge previous
calculations. Finally the interacting case is briefly discussed taking the
Schwinger model as an example. The two and three point functions of the
Schwinger model are explicitly derived at the lowest order on a Riemann
surface.
| [
{
"created": "Tue, 10 Nov 1992 19:42:22 GMT",
"version": "v1"
}
] | 2010-04-06 | [
[
"Ferrari",
"F.",
""
]
] | The free Maxwell field theory is quantized in the Lorentz gauge on a two dimensional manifold $M$ with conformally flat background metric. It is shown that in this gauge the theory is equivalent, at least at the classical level, to a biharmonic version of the bosonic string theory. This equivalence is exploited in order to construct in details the propagator of the Maxwell field theory on $M$. The expectation values of the Wilson loops are computed. A trivial result is obtained confirming in the Lorentz gauge previous calculations. Finally the interacting case is briefly discussed taking the Schwinger model as an example. The two and three point functions of the Schwinger model are explicitly derived at the lowest order on a Riemann surface. |
1909.00227 | Ant\'on F. Faedo | Anton F. Faedo, David Mateos, Christiana Pantelidou, Javier Tarrio | Spectrum of a Supersymmetric Color Superconductor | 29 pages plus appendices, 8 figures | null | 10.1007/JHEP11(2019)020 | ICCUB-19-011; HIP-2019-27/TH | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have recently shown that the ground state of ${\cal N} = 4$,
SU($N_{\rm{\tiny c}}$) super Yang--Mills coupled to $N_{\rm{\tiny f}} \ll
N_{\rm{\tiny c}}$ flavors, in the presence of non-zero isospin and R-symmetry
charges, is a supersymmetric, superfluid, color superconductor. The holographic
description consists of $N_{\rm{\tiny f}}$ D7-brane probes in
AdS$_5\times$S$^5$ with electric and instantonic fields on their worldvolume.
These correspond to fundamental strings and D3-branes dissolved on the
D7-branes, respectively. Here we use this description to determine the spectrum
of mesonic excitations. As expected for a charged superfluid we find
non-relativistic, massless Goldstone modes. We also find extra ungapped modes
that are not associated to the breaking of any global symmetries but to the
supersymmetric nature of the ground state. If the quark mass is much smaller
than the scale of spontaneous symmetry breaking a pseudo-Goldstone boson is
also present. We highlight some new features that appear only for $N_{\rm{\tiny
f}}> 2$. We show that, in the generic case of unequal R-symmetry charges, the
dissolved strings and D3-branes blow up into a D5-brane supertube stretched
between the D7-branes.
| [
{
"created": "Sat, 31 Aug 2019 15:06:46 GMT",
"version": "v1"
}
] | 2020-01-08 | [
[
"Faedo",
"Anton F.",
""
],
[
"Mateos",
"David",
""
],
[
"Pantelidou",
"Christiana",
""
],
[
"Tarrio",
"Javier",
""
]
] | We have recently shown that the ground state of ${\cal N} = 4$, SU($N_{\rm{\tiny c}}$) super Yang--Mills coupled to $N_{\rm{\tiny f}} \ll N_{\rm{\tiny c}}$ flavors, in the presence of non-zero isospin and R-symmetry charges, is a supersymmetric, superfluid, color superconductor. The holographic description consists of $N_{\rm{\tiny f}}$ D7-brane probes in AdS$_5\times$S$^5$ with electric and instantonic fields on their worldvolume. These correspond to fundamental strings and D3-branes dissolved on the D7-branes, respectively. Here we use this description to determine the spectrum of mesonic excitations. As expected for a charged superfluid we find non-relativistic, massless Goldstone modes. We also find extra ungapped modes that are not associated to the breaking of any global symmetries but to the supersymmetric nature of the ground state. If the quark mass is much smaller than the scale of spontaneous symmetry breaking a pseudo-Goldstone boson is also present. We highlight some new features that appear only for $N_{\rm{\tiny f}}> 2$. We show that, in the generic case of unequal R-symmetry charges, the dissolved strings and D3-branes blow up into a D5-brane supertube stretched between the D7-branes. |
0908.3713 | Masato Arai | Masato Arai, Sunggeun Lee, Sunyoung Shin | Walls in supersymmetric massive nonlinear sigma model on complex quadric
surface | 42 pages, 30 figures, typos corrected, version to appear in PRD | Phys.Rev.D80:125012,2009 | 10.1103/PhysRevD.80.125012 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed
in a massive Kahler nonlinear sigma model on the complex quadric surface,
Q^N=SO(N+2)/[SO(N)\times SO(2)] in 3-dimensional space-time. The theory has a
non-trivial scalar potential generated by the Scherk-Schwarz dimensional
reduction from the massless nonlinear sigma model on Q^N in 4-dimensional
space-time and it gives rise to 2[N/2+1] discrete vacua. The BPS wall solutions
connecting these vacua are obtained based on the moduli matrix approach. It is
also shown that the moduli space of the BPS wall solutions is the complex
quadric surface Q^N.
| [
{
"created": "Wed, 26 Aug 2009 02:09:43 GMT",
"version": "v1"
},
{
"created": "Wed, 28 Oct 2009 12:50:31 GMT",
"version": "v2"
},
{
"created": "Mon, 9 Nov 2009 07:24:47 GMT",
"version": "v3"
}
] | 2009-12-30 | [
[
"Arai",
"Masato",
""
],
[
"Lee",
"Sunggeun",
""
],
[
"Shin",
"Sunyoung",
""
]
] | The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed in a massive Kahler nonlinear sigma model on the complex quadric surface, Q^N=SO(N+2)/[SO(N)\times SO(2)] in 3-dimensional space-time. The theory has a non-trivial scalar potential generated by the Scherk-Schwarz dimensional reduction from the massless nonlinear sigma model on Q^N in 4-dimensional space-time and it gives rise to 2[N/2+1] discrete vacua. The BPS wall solutions connecting these vacua are obtained based on the moduli matrix approach. It is also shown that the moduli space of the BPS wall solutions is the complex quadric surface Q^N. |
2407.01978 | Young-Kwon Han | Young-Kwon Han, Debabrata Ghorai, Taewon Yuk, Sang-Jin Sin | Mean field theory and holographic Kondo lattice | null | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study a non-relativistic field theory model for the Kondo lattice. The
Fierz identity and the mean-field approximation transform our model into an
Anderson-like model that is stabilized by a scalar-type s-d interaction term.
Numerical minimization of the thermodynamic potential shows that the Kondo
condensation forms when the temperature is low, and the s-d coupling is strong.
The formation of the Kondo condensation at zero temperature turns out to give a
first-order quantum phase transition. Though these results are very suggestive
and consistent with previous large-N studies, they work only when the
mean-field theory is justified in strong coupling, as usual. We build a
holographic model as an effective mean-field theory for the Kondo lattice with
strong coupling, by considering interacting two-flavor spinors, one in standard
quantization and the other one in the mixed quantization, both them coupled
with scalar orders representing the Kondo condensation. Our model realizes the
extended Fermi surface as well as the large fermion mass of heavy fermion
physics in the strong coupling regime.
| [
{
"created": "Tue, 2 Jul 2024 06:29:11 GMT",
"version": "v1"
}
] | 2024-07-03 | [
[
"Han",
"Young-Kwon",
""
],
[
"Ghorai",
"Debabrata",
""
],
[
"Yuk",
"Taewon",
""
],
[
"Sin",
"Sang-Jin",
""
]
] | We study a non-relativistic field theory model for the Kondo lattice. The Fierz identity and the mean-field approximation transform our model into an Anderson-like model that is stabilized by a scalar-type s-d interaction term. Numerical minimization of the thermodynamic potential shows that the Kondo condensation forms when the temperature is low, and the s-d coupling is strong. The formation of the Kondo condensation at zero temperature turns out to give a first-order quantum phase transition. Though these results are very suggestive and consistent with previous large-N studies, they work only when the mean-field theory is justified in strong coupling, as usual. We build a holographic model as an effective mean-field theory for the Kondo lattice with strong coupling, by considering interacting two-flavor spinors, one in standard quantization and the other one in the mixed quantization, both them coupled with scalar orders representing the Kondo condensation. Our model realizes the extended Fermi surface as well as the large fermion mass of heavy fermion physics in the strong coupling regime. |
1605.04668 | Hongfei Shu | Katsushi Ito and Hongfei Shu | ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field
equation | 1+21 pages, 2 figures, Typos corrected | null | 10.1016/j.nuclphysb.2017.01.009 | TIT/HEP-654 | hep-th math-ph math.MP | http://creativecommons.org/licenses/by-sa/4.0/ | We study the massive ODE/IM correspondence for modified $B_2^{(1)}$ affine
Toda field equation. Based on the $\psi$-system for the solutions of the
associated linear problem, we obtain the Bethe ansatz equations. We also
discuss the T-Q relations, the T-system and the Y-system, which are shown to be
related to those of the $A_3/{\bf Z}_2$ integrable system. We consider the case
that the solution of the linear problem has a monodromy around the origin,
which imposes nontrivial boundary conditions for the T-/Y-system. The
high-temperature limit of the T- and Y-system and their monodromy dependence
are studied numerically.
| [
{
"created": "Mon, 16 May 2016 07:15:17 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Aug 2017 04:55:11 GMT",
"version": "v2"
}
] | 2017-08-22 | [
[
"Ito",
"Katsushi",
""
],
[
"Shu",
"Hongfei",
""
]
] | We study the massive ODE/IM correspondence for modified $B_2^{(1)}$ affine Toda field equation. Based on the $\psi$-system for the solutions of the associated linear problem, we obtain the Bethe ansatz equations. We also discuss the T-Q relations, the T-system and the Y-system, which are shown to be related to those of the $A_3/{\bf Z}_2$ integrable system. We consider the case that the solution of the linear problem has a monodromy around the origin, which imposes nontrivial boundary conditions for the T-/Y-system. The high-temperature limit of the T- and Y-system and their monodromy dependence are studied numerically. |
hep-th/0112261 | Pierre Ramond | Pierre Ramond | Algebraic Dreams | 29 pages, Latex. Contribution to Francqui Foundation Meeting in the
honor of Marc Henneaux, October 2001, Brussels | null | null | UFIFT-HEP-01-27 | hep-th | null | Nature's attraction to unique mathematical structures provides powerful hints
for unraveling her mysteries. None is at present as intriguing as
eleven-dimensional M-theory. The search for exceptional structures specific to
eleven dimensions leads us to exceptional groups in the description of
space-time. One specific connection, through the coset $F_4/SO(9)$, may provide
a generalization of eleven-dimensional supergravity. Since this coset happens
to be the projective space of the Exceptional Jordan Algebra, its charge space
may be linked to the fundamental degrees of freedom underlying M-theory.
| [
{
"created": "Mon, 31 Dec 2001 15:16:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Ramond",
"Pierre",
""
]
] | Nature's attraction to unique mathematical structures provides powerful hints for unraveling her mysteries. None is at present as intriguing as eleven-dimensional M-theory. The search for exceptional structures specific to eleven dimensions leads us to exceptional groups in the description of space-time. One specific connection, through the coset $F_4/SO(9)$, may provide a generalization of eleven-dimensional supergravity. Since this coset happens to be the projective space of the Exceptional Jordan Algebra, its charge space may be linked to the fundamental degrees of freedom underlying M-theory. |
hep-th/9512114 | Yee Jack Ng | C.N. Leung, Y.J. Ng, and A.W. Ackley | Chiral Symmetry Breaking by a Magnetic Field in Weak-coupling QED | Latex; 11 pages | null | 10.1103/PhysRevD.54.4181 | IFP-603-UNC, UDHEP-12-95 | hep-th | null | Using the nonperturbative Schwinger-Dyson equation, we show that chiral
symmetry in weak-coupling massless QED is dynamically broken by a constant but
arbitrarily strong external magnetic field.
| [
{
"created": "Fri, 15 Dec 1995 16:34:19 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Leung",
"C. N.",
""
],
[
"Ng",
"Y. J.",
""
],
[
"Ackley",
"A. W.",
""
]
] | Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry in weak-coupling massless QED is dynamically broken by a constant but arbitrarily strong external magnetic field. |
hep-th/9912277 | Leonardo Castellani | Leonardo Castellani | On G/H geometry and its use in M-theory compactifications | 12 pages | Annals Phys. 287 (2001) 1-13 | 10.1006/aphy.2000.6097 | DFTT-74/99 | hep-th | null | The Riemannian geometry of coset spaces is reviewed, with emphasis on its
applications to supergravity and M-theory compactifications. Formulae for the
connection and curvature of rescaled coset manifolds are generalized to the
case of nondiagonal Killing metrics.
The example of the N^{010} spaces is discussed in detail. These are a
subclass of the coset manifolds N^{pqr}=G/H = SU(3) x U(1)/U(1) x U(1), the
integers p,q,r characterizing the embedding of H in G. We study the realization
of N^{010} as G/H=SU(3) x SU(2)/U(1) x SU(2) (with diagonal embedding of the
SU(2) \in H into G). For a particular G-symmetric rescaling there exist three
Killing spinors, implying N=3 supersymmetry in the AdS_4 \times N^{010}
compactification of D=11 supergravity. This rescaled N^{010} space is of
particular interest for the AdS_4/CFT_3 correspondence, and its SU(3) x SU(2)
isometric realization is essential for the OSp(4|3) classification of the
Kaluza-Klein modes.
| [
{
"created": "Thu, 30 Dec 1999 17:36:34 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Castellani",
"Leonardo",
""
]
] | The Riemannian geometry of coset spaces is reviewed, with emphasis on its applications to supergravity and M-theory compactifications. Formulae for the connection and curvature of rescaled coset manifolds are generalized to the case of nondiagonal Killing metrics. The example of the N^{010} spaces is discussed in detail. These are a subclass of the coset manifolds N^{pqr}=G/H = SU(3) x U(1)/U(1) x U(1), the integers p,q,r characterizing the embedding of H in G. We study the realization of N^{010} as G/H=SU(3) x SU(2)/U(1) x SU(2) (with diagonal embedding of the SU(2) \in H into G). For a particular G-symmetric rescaling there exist three Killing spinors, implying N=3 supersymmetry in the AdS_4 \times N^{010} compactification of D=11 supergravity. This rescaled N^{010} space is of particular interest for the AdS_4/CFT_3 correspondence, and its SU(3) x SU(2) isometric realization is essential for the OSp(4|3) classification of the Kaluza-Klein modes. |
1106.2435 | Stefano Bellucci | Stefano Bellucci, Sergey Krivonos and Anton Sutulin | CP(n) supersymmetric mechanics in U(n) background gauge fields | 8 pages, LaTeX file, PACS number: 11.30.Pb; footnote added on page 1,
comments concerning brackets in (2.11) added, formula (3.4) is rewritten, and
two new formulas (3.8) and (3.9) have been added | Phys. Rev. D84 (2011) 065033 | 10.1103/PhysRevD.84.065033 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new N=4 supersymmetric mechanics describing the motion of a
particle over a $CP^n$ manifold in U(n) background gauge fields.
| [
{
"created": "Mon, 13 Jun 2011 13:10:00 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2011 13:51:03 GMT",
"version": "v2"
},
{
"created": "Wed, 22 Jun 2011 14:08:31 GMT",
"version": "v3"
},
{
"created": "Fri, 9 Sep 2011 15:32:12 GMT",
"version": "v4"
}
] | 2015-05-28 | [
[
"Bellucci",
"Stefano",
""
],
[
"Krivonos",
"Sergey",
""
],
[
"Sutulin",
"Anton",
""
]
] | We construct a new N=4 supersymmetric mechanics describing the motion of a particle over a $CP^n$ manifold in U(n) background gauge fields. |
1609.02550 | Ben Hoare | B. Hoare, A.A. Tseytlin | Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5
sigma-model | 28 pages; v2: comments and references added; v3: 29 pages, typos
corrected and reference added | null | 10.1088/1751-8113/49/49/494001 | Imperial-TP-AT-2016-03 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We propose that the Yang-Baxter deformation of the symmetric space
sigma-model parameterized by an r-matrix solving the homogeneous (classical)
Yang-Baxter equation is equivalent to the non-abelian dual of the undeformed
model with respect to a subgroup determined by the structure of the r-matrix.
We explicitly demonstrate this on numerous examples in the case of the AdS_5
sigma-model. The same should also be true for the full AdS_5 x S^5 supercoset
model, providing an explanation for and generalizing several recent
observations relating homogeneous Yang-Baxter deformations based on non-abelian
r-matrices to the undeformed AdS_5 x S^5 model by a combination of T-dualities
and non-linear coordinate redefinitions. This also includes the special case of
deformations based on abelian r-matrices, which correspond to TsT
transformations: they are equivalent to non-abelian duals of the original model
with respect to a central extension of abelian subalgebras.
| [
{
"created": "Thu, 8 Sep 2016 19:52:46 GMT",
"version": "v1"
},
{
"created": "Mon, 12 Sep 2016 19:48:14 GMT",
"version": "v2"
},
{
"created": "Wed, 2 Nov 2016 21:01:01 GMT",
"version": "v3"
}
] | 2016-12-21 | [
[
"Hoare",
"B.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] | We propose that the Yang-Baxter deformation of the symmetric space sigma-model parameterized by an r-matrix solving the homogeneous (classical) Yang-Baxter equation is equivalent to the non-abelian dual of the undeformed model with respect to a subgroup determined by the structure of the r-matrix. We explicitly demonstrate this on numerous examples in the case of the AdS_5 sigma-model. The same should also be true for the full AdS_5 x S^5 supercoset model, providing an explanation for and generalizing several recent observations relating homogeneous Yang-Baxter deformations based on non-abelian r-matrices to the undeformed AdS_5 x S^5 model by a combination of T-dualities and non-linear coordinate redefinitions. This also includes the special case of deformations based on abelian r-matrices, which correspond to TsT transformations: they are equivalent to non-abelian duals of the original model with respect to a central extension of abelian subalgebras. |
1511.01875 | George Leontaris | E.G. Floratos, G.K. Leontaris | Discrete Flavour Symmetries from the Heisenberg Group | 16 pages | null | 10.1016/j.physletb.2016.02.007 | null | hep-th hep-ph math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Non-abelian discrete symmetries are of particular importance in model
building. They are mainly invoked to explain the various fermion mass
hierarchies and forbid dangerous superpotential terms. In string models they
are usually associated to the geometry of the compactification manifold and
more particularly to the magnetised branes in toroidal compactifications.
Motivated by these facts, in this note we propose a unified framework to
construct representations of finite discrete family groups based on the
automorphisms of the discrete and finite Heisenberg group. We focus in
particular in the $PSL_2(p)$ groups which contain the phenomenologically
interesting cases.
| [
{
"created": "Thu, 5 Nov 2015 19:59:57 GMT",
"version": "v1"
}
] | 2016-03-23 | [
[
"Floratos",
"E. G.",
""
],
[
"Leontaris",
"G. K.",
""
]
] | Non-abelian discrete symmetries are of particular importance in model building. They are mainly invoked to explain the various fermion mass hierarchies and forbid dangerous superpotential terms. In string models they are usually associated to the geometry of the compactification manifold and more particularly to the magnetised branes in toroidal compactifications. Motivated by these facts, in this note we propose a unified framework to construct representations of finite discrete family groups based on the automorphisms of the discrete and finite Heisenberg group. We focus in particular in the $PSL_2(p)$ groups which contain the phenomenologically interesting cases. |
hep-th/9903156 | Martin Aaron Bucher | Jerome Gauntlett, Chris Koehl, David Mateos, Paul Townsend and Marija
Zamaklar | Finite energy Dirac-Born-Infeld monopoles and string junctions | 12 pp. Revtex. Two figs., Minor corrections now included | Phys.Rev.D60:045004,1999 | 10.1103/PhysRevD.60.045004 | DAMTP-1999-38, ECM-UB-99/07, QMW-PH-99-03 | hep-th | null | It is shown that the worldvolume field theory of a single D3-brane in a
supergravity D3-brane background admits finite energy, and non-singular,
abelian monopoles and dyons preserving 1/2 or 1/4 of the ${\cal N}=4$
supersymmetry and saturating a Bogomol'nyi-type bound. The 1/4 supersymmetric
solitons provide a worldvolume realisation of string-junction dyons. We also
discuss the dual M-theory realisation of the 1/2 supersymmetric dyons as finite
tension self-dual strings on the M5-brane, and of the 1/4 supersymmetric dyons
as their intersections.
| [
{
"created": "Wed, 17 Mar 1999 21:37:03 GMT",
"version": "v1"
},
{
"created": "Thu, 8 Apr 1999 14:02:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gauntlett",
"Jerome",
""
],
[
"Koehl",
"Chris",
""
],
[
"Mateos",
"David",
""
],
[
"Townsend",
"Paul",
""
],
[
"Zamaklar",
"Marija",
""
]
] | It is shown that the worldvolume field theory of a single D3-brane in a supergravity D3-brane background admits finite energy, and non-singular, abelian monopoles and dyons preserving 1/2 or 1/4 of the ${\cal N}=4$ supersymmetry and saturating a Bogomol'nyi-type bound. The 1/4 supersymmetric solitons provide a worldvolume realisation of string-junction dyons. We also discuss the dual M-theory realisation of the 1/2 supersymmetric dyons as finite tension self-dual strings on the M5-brane, and of the 1/4 supersymmetric dyons as their intersections. |
hep-th/0312316 | Oswaldo Zapata | Oswaldo Zapata | On Hpp-wave/CFT_2 Holography | Talk given at the 'Tenth Marcel Grossmann Meeting', 20-26 July 2003,
CBPF-ICRA, Rio de Janeiro, Brazil. V2: minor changes and notations changed
according to hep-th/0402004 | null | null | null | hep-th | null | We briefly review the AdS3/CFT2 correspondence and the holographic issues
that arise in the Penrose limit. Exploiting current algebra techniques,
developped by D'Appollonio and Kiritsis for the closely related Nappi-Witten
model, we obtain preliminary results for bosonic string amplitudes in the
resulting Hpp-wave background and comment on how to extend them to the
superstring.
| [
{
"created": "Tue, 30 Dec 2003 21:04:22 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Feb 2004 14:48:26 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Zapata",
"Oswaldo",
""
]
] | We briefly review the AdS3/CFT2 correspondence and the holographic issues that arise in the Penrose limit. Exploiting current algebra techniques, developped by D'Appollonio and Kiritsis for the closely related Nappi-Witten model, we obtain preliminary results for bosonic string amplitudes in the resulting Hpp-wave background and comment on how to extend them to the superstring. |
1510.02582 | Armand Id\'arraga A.Idarraga | J. A. Agudelo, H. I. Arcos, A. Idarraga | Cosmological study of some S-brane solutions in M-theory | 17 pages, 10 figures, 2 appendices | null | null | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A cosmological analysis considering the inclusion of dark energy and dark
matter cosmic components in the context of some particular cases for
intersecting S-brane solutions is presented and discussed. Direct solution of
$d$-dim field equations and dimensional reduction processes, are implemented
for the pure dark energy and dark energy with dark matter cosmological
scenarios, respectively. In the first case, explicit expressions and evolution
for $d$-dim scale factors are founded and studied. Secondly, a low energy
effective $4$-dim model is obtained analytically and their resulting field
equations are solved numerically. The role of internal space geometry is always
a central element of our analysis. In some intersecting cases and under certain
considerations, a suitable late-time cosmic acceleration description is founded
and an adequate behavior for scale factor $a(t)$ and realistic values for dark
energy $\Omega_{DE}$ and dark matter $\Omega_{DM}$ relative energy densities
are obtained as well. As a result, we do specifically obtain late-time cosmic
acceleration in one scenario where our universe makes part either of an
SM2$\bot$SM2 or an SM2$\bot$SM5 intersection. This could give rise to further
possible configurations where late-time cosmic acceleration is present.
| [
{
"created": "Fri, 9 Oct 2015 07:15:52 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2016 04:53:33 GMT",
"version": "v2"
}
] | 2016-03-30 | [
[
"Agudelo",
"J. A.",
""
],
[
"Arcos",
"H. I.",
""
],
[
"Idarraga",
"A.",
""
]
] | A cosmological analysis considering the inclusion of dark energy and dark matter cosmic components in the context of some particular cases for intersecting S-brane solutions is presented and discussed. Direct solution of $d$-dim field equations and dimensional reduction processes, are implemented for the pure dark energy and dark energy with dark matter cosmological scenarios, respectively. In the first case, explicit expressions and evolution for $d$-dim scale factors are founded and studied. Secondly, a low energy effective $4$-dim model is obtained analytically and their resulting field equations are solved numerically. The role of internal space geometry is always a central element of our analysis. In some intersecting cases and under certain considerations, a suitable late-time cosmic acceleration description is founded and an adequate behavior for scale factor $a(t)$ and realistic values for dark energy $\Omega_{DE}$ and dark matter $\Omega_{DM}$ relative energy densities are obtained as well. As a result, we do specifically obtain late-time cosmic acceleration in one scenario where our universe makes part either of an SM2$\bot$SM2 or an SM2$\bot$SM5 intersection. This could give rise to further possible configurations where late-time cosmic acceleration is present. |
hep-th/0206166 | Lubos Motl | Jaume Gomis, Lubos Motl, Andrew Strominger | PP-Wave / CFT_2 Duality | JHEP3 LaTeX, 20 pages; discussion of WZW levels clarified, reference
added | JHEP 0211:016,2002 | 10.1088/1126-6708/2002/11/016 | CALT-68-2394, CIT-USC/02-022, HUTP-02/A026 | hep-th | null | We investigate the pp-wave limit of the AdS_3\times S^3\times K3
compactification of Type IIB string theory from the point of view of the dual
Sym_N(K3) CFT. It is proposed that a fundamental string in this pp-wave
geometry is dual to the c=6 effective string of the Sym_N(K3) CFT, with the
string bits of the latter being composed of twist operators. The massive
fundamental string oscillators correspond to certain twisted Virasoro
generators in the effective string. It is shown that both the ground states and
the genus expansion parameter (at least in the orbifold limit of the CFT)
coincide. Surprisingly the latter scales like J^2/N rather than the J^4/N^2
which might have been expected. We demonstrate a leading-order agreement
between the pp-wave and CFT particle spectra. For a degenerate special case
(one NS 5-brane) an intriguing complete agreement is found.
| [
{
"created": "Tue, 18 Jun 2002 18:52:44 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jun 2002 18:19:28 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Gomis",
"Jaume",
""
],
[
"Motl",
"Lubos",
""
],
[
"Strominger",
"Andrew",
""
]
] | We investigate the pp-wave limit of the AdS_3\times S^3\times K3 compactification of Type IIB string theory from the point of view of the dual Sym_N(K3) CFT. It is proposed that a fundamental string in this pp-wave geometry is dual to the c=6 effective string of the Sym_N(K3) CFT, with the string bits of the latter being composed of twist operators. The massive fundamental string oscillators correspond to certain twisted Virasoro generators in the effective string. It is shown that both the ground states and the genus expansion parameter (at least in the orbifold limit of the CFT) coincide. Surprisingly the latter scales like J^2/N rather than the J^4/N^2 which might have been expected. We demonstrate a leading-order agreement between the pp-wave and CFT particle spectra. For a degenerate special case (one NS 5-brane) an intriguing complete agreement is found. |
hep-th/9601120 | Madore | J. Madore, J. Mourad, A. Sitarz | Deformations of Differential Calculi | 11 pages of Latex | Mod.Phys.Lett. A12 (1997) 975-986 | 10.1142/S0217732397000996 | null | hep-th | null | It has been suggested that quantum fluctuations of the gravitational field
could give rise in the lowest approximation to an effective noncommutative
version of Kaluza-Klein theory which has as extra hidden structure a
noncommutative geometry. It would seem however from the Standard Model, at
least as far as the weak interactions are concerned, that a double-sheeted
structure is the phenomenologically appropriate one at present accelerator
energies. We examine here to what extent this latter structure can be
considered as a singular limit of the former.
| [
{
"created": "Tue, 23 Jan 1996 10:15:07 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Madore",
"J.",
""
],
[
"Mourad",
"J.",
""
],
[
"Sitarz",
"A.",
""
]
] | It has been suggested that quantum fluctuations of the gravitational field could give rise in the lowest approximation to an effective noncommutative version of Kaluza-Klein theory which has as extra hidden structure a noncommutative geometry. It would seem however from the Standard Model, at least as far as the weak interactions are concerned, that a double-sheeted structure is the phenomenologically appropriate one at present accelerator energies. We examine here to what extent this latter structure can be considered as a singular limit of the former. |
1209.0260 | Kiminad Mamo | Kiminad A. Mamo | Comments on the holographic shear viscosity to entropy density ratio | 9 pages, membrane paradigm derivation of \eta/s used, applications on
M2-branes and M5-branes added, the title is changed | null | null | null | hep-th nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the membrane paradigm calculations of the holographic shear
viscosity tensor of strongly coupled isotropic plasmas with Einstein gravity
dual by emphasizing the fact which was overlooked in the previous literatures
that the shear viscosity is a fourth-rank tensor. Using the membrane paradigm
we show that depending on whether the holographic shear viscosity tensor to
entropy density ratio is \eta^j_i^j_i/s or \eta^{jiji}/s or \eta_{jiji}/s, we
can derive three distinct formulae for the holographic shear viscosity tensor
to entropy density ratios given explicitly in terms of the background metric
g_{ij}. We find that the widely studied \eta^j_i^j_i/s holographic shear
viscosity tensor to entropy density ratio takes the universal value 1/(4\pi)
for isotropic background metric g_{ij} but \eta^{jiji}/s and \eta_{jiji}/s
holographic shear viscosity tensor to entropy density ratios take non-universal
values which depend on the details of the isotropic background metric g_{ij}.
| [
{
"created": "Mon, 3 Sep 2012 07:44:58 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2012 02:22:25 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Jun 2013 09:01:40 GMT",
"version": "v3"
}
] | 2013-06-07 | [
[
"Mamo",
"Kiminad A.",
""
]
] | We revisit the membrane paradigm calculations of the holographic shear viscosity tensor of strongly coupled isotropic plasmas with Einstein gravity dual by emphasizing the fact which was overlooked in the previous literatures that the shear viscosity is a fourth-rank tensor. Using the membrane paradigm we show that depending on whether the holographic shear viscosity tensor to entropy density ratio is \eta^j_i^j_i/s or \eta^{jiji}/s or \eta_{jiji}/s, we can derive three distinct formulae for the holographic shear viscosity tensor to entropy density ratios given explicitly in terms of the background metric g_{ij}. We find that the widely studied \eta^j_i^j_i/s holographic shear viscosity tensor to entropy density ratio takes the universal value 1/(4\pi) for isotropic background metric g_{ij} but \eta^{jiji}/s and \eta_{jiji}/s holographic shear viscosity tensor to entropy density ratios take non-universal values which depend on the details of the isotropic background metric g_{ij}. |
hep-th/9212010 | Yutaka Matsuo | Y. Matsuo | Some Additional Solutions of Conformal Turbulence | 7 pages, UT-620 | Mod.Phys.Lett. A8 (1993) 619-624 | 10.1142/S0217732393000647 | null | hep-th | null | We made a careful study of Polyakov's Diofantian equations for 2D turbulence
and found several additional CFTs which meet his criterion. This fact implies
that we need further conditions for CFT in order to determine the exponent of
the energy spectrum function.
| [
{
"created": "Wed, 2 Dec 1992 00:44:17 GMT",
"version": "v1"
}
] | 2015-06-26 | [
[
"Matsuo",
"Y.",
""
]
] | We made a careful study of Polyakov's Diofantian equations for 2D turbulence and found several additional CFTs which meet his criterion. This fact implies that we need further conditions for CFT in order to determine the exponent of the energy spectrum function. |
hep-th/9501132 | Andrei Johansen | Minos Axenides, Andrei Johansen, Jesper Moller | A ${\bf Z_2}$ Structure in the Configuration Space of Yang-Mills
Theories | 15pp, LaTex. Minor stylistic changes (title, abstract), to appear in
the J. of Math.Physics | J.Math.Phys. 36 (1995) 5284-5296 | 10.1063/1.531262 | HUTP-95/A005, NBI-HE-95-02 | hep-th | null | We argue for the presence of a ${\bf Z}_2$ topological structure in the space
of static gauge-Higgs field configurations of $SU(2n)$ and $SO(2n)$ Yang-Mills
theories. We rigorously prove the existence of a ${\bf Z}_2$ homotopy group of
mappings from the 2-dim. projective sphere ${\bf R}P^2$ into $SU(2n)/{\bf Z}_2$
and $SO(2n)/{\bf Z}_2$ Lie groups respectively. Consequently the symmetric
phase of these theories admits infinite surfaces of odd-parity static and
unstable gauge field configurations which divide into two disconnected sectors
with integer Chern-Simons numbers $n$ and $n+1/2$ respectively. Such a ${\bf
Z}_2$ structure persists in the Higgs phase of the above theories and accounts
for the existence of $CS=1/2$ odd-parity saddle point solutions to the field
equations which correspond to spontaneous symmetry breaking mass scales.
| [
{
"created": "Sun, 29 Jan 1995 20:33:53 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Jul 1995 16:53:41 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Axenides",
"Minos",
""
],
[
"Johansen",
"Andrei",
""
],
[
"Moller",
"Jesper",
""
]
] | We argue for the presence of a ${\bf Z}_2$ topological structure in the space of static gauge-Higgs field configurations of $SU(2n)$ and $SO(2n)$ Yang-Mills theories. We rigorously prove the existence of a ${\bf Z}_2$ homotopy group of mappings from the 2-dim. projective sphere ${\bf R}P^2$ into $SU(2n)/{\bf Z}_2$ and $SO(2n)/{\bf Z}_2$ Lie groups respectively. Consequently the symmetric phase of these theories admits infinite surfaces of odd-parity static and unstable gauge field configurations which divide into two disconnected sectors with integer Chern-Simons numbers $n$ and $n+1/2$ respectively. Such a ${\bf Z}_2$ structure persists in the Higgs phase of the above theories and accounts for the existence of $CS=1/2$ odd-parity saddle point solutions to the field equations which correspond to spontaneous symmetry breaking mass scales. |
1704.07208 | Kenta Suzuki | Sumit R. Das, Antal Jevicki, Kenta Suzuki | Three Dimensional View of the SYK/AdS Duality | 19 pages; v2: further clarifications and references added | null | 10.1007/JHEP09(2017)017 | null | hep-th gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the spectrum of the SYK model can be interpreted as that of a 3D
scalar coupled to gravity. The scalar has a mass which is at the
Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function
potential at the center of the interval along the third direction. This,
through Kaluza-Klein procedure on AdS$_2 \times (S^1)/Z_2$, generates the
spectrum reproducing the bi-local propagator at strong coupling. Furthermore,
the leading $1/J$ correction calculated in this picture reproduces the known
correction to the poles of the SYK propagator, providing credence to a
conjecture that the bulk dual of this model can be interpreted as a three
dimensional theory.
| [
{
"created": "Mon, 24 Apr 2017 13:28:40 GMT",
"version": "v1"
},
{
"created": "Wed, 17 May 2017 14:50:45 GMT",
"version": "v2"
}
] | 2017-09-20 | [
[
"Das",
"Sumit R.",
""
],
[
"Jevicki",
"Antal",
""
],
[
"Suzuki",
"Kenta",
""
]
] | We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS$_2$, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS$_2 \times (S^1)/Z_2$, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading $1/J$ correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory. |
hep-th/0105289 | Bernard de Wit | B. de Wit, A. Marshakov | Electric-Magnetic Duality and WDVV Equations | Contributions to the proceedings of the workshop `Classical and
Quantum Integrable Systems' Protvino, 2001. To appear in Theor. Math. Physics | Theor.Math.Phys.129:1504-1510,2001; Teor.Mat.Fiz.129:230-238,2001 | 10.1023/A:1012831106575 | ITP-UU-01/20; SPIN-01/13; FIAN/TD-10/01; ITEP/TH-26/01 | hep-th | null | We consider the associativity (or WDVV) equations in the form they appear in
Seiberg-Witten theory and prove that they are covariant under generic
electric-magnetic duality transformations. We discuss the consequences of this
covariance from various perspectives.
| [
{
"created": "Tue, 29 May 2001 14:31:21 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Jun 2001 17:58:41 GMT",
"version": "v2"
}
] | 2014-11-18 | [
[
"de Wit",
"B.",
""
],
[
"Marshakov",
"A.",
""
]
] | We consider the associativity (or WDVV) equations in the form they appear in Seiberg-Witten theory and prove that they are covariant under generic electric-magnetic duality transformations. We discuss the consequences of this covariance from various perspectives. |
hep-th/0411006 | Jaemo Park | Jaemo Park and Takao Suyama | Type 0A matrix model of black hole, integrability and holography | 23 pages; minor corrections and references added | Phys.Rev. D71 (2005) 086002 | 10.1103/PhysRevD.71.086002 | KIAS-P04042 | hep-th | null | We investigate a deformed matrix model of type 0A theory related to
supersymmetric Witten's black hole in two-dimensions, generalization of bosonic
model suggested by Kazakov et. al. We find a free field realization of the
partition function of the matrix model, which includes Ramond-Ramond
perturbations in the type 0A theory. In a simple case, the partition function
is factorized into two determinants, which are given by $\tau$ function of an
integrable system. We work out the genus expansion of the partition function.
Holographic relation with the supersymmetric Witten's black hole is checked by
Wilson line computation. Corresponding partition function of the matrix model
exhibits a singular behavior, which is interpreted as the point of enhanced
${\cal N}=2$ worldsheet supersymmetry. Interesting relation of the deformed
matrix model and topological string on a $Z_2$ orbifold of conifold is found.
| [
{
"created": "Sat, 30 Oct 2004 07:46:16 GMT",
"version": "v1"
},
{
"created": "Sat, 11 Dec 2004 03:08:37 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Park",
"Jaemo",
""
],
[
"Suyama",
"Takao",
""
]
] | We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, generalization of bosonic model suggested by Kazakov et. al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by $\tau$ function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. Corresponding partition function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced ${\cal N}=2$ worldsheet supersymmetry. Interesting relation of the deformed matrix model and topological string on a $Z_2$ orbifold of conifold is found. |
1712.02196 | Timothy Adamo | Tim Adamo | Lectures on twistor theory | 61 pages, 2 figures. v2: some typos corrected and references added | PoS Modave2017 003, 2018 | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Broadly speaking, twistor theory is a framework for encoding physical
information on space-time as geometric data on a complex projective space,
known as a twistor space. The relationship between space-time and twistor space
is non-local and has some surprising consequences, which we explore in these
lectures. Starting with a review of the twistor correspondence for
four-dimensional Minkowski space, we describe some of twistor theory's historic
successes (e.g., describing free fields and integrable systems) as well as some
of its historic shortcomings. We then discuss how in recent years many of these
problems have been overcome, with a view to understanding how twistor theory is
applied to the study of perturbative QFT today. These lectures were given in
2017 at the XIII Modave Summer School in mathematical physics.
| [
{
"created": "Wed, 6 Dec 2017 14:25:23 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jan 2018 16:12:41 GMT",
"version": "v2"
}
] | 2018-04-06 | [
[
"Adamo",
"Tim",
""
]
] | Broadly speaking, twistor theory is a framework for encoding physical information on space-time as geometric data on a complex projective space, known as a twistor space. The relationship between space-time and twistor space is non-local and has some surprising consequences, which we explore in these lectures. Starting with a review of the twistor correspondence for four-dimensional Minkowski space, we describe some of twistor theory's historic successes (e.g., describing free fields and integrable systems) as well as some of its historic shortcomings. We then discuss how in recent years many of these problems have been overcome, with a view to understanding how twistor theory is applied to the study of perturbative QFT today. These lectures were given in 2017 at the XIII Modave Summer School in mathematical physics. |
2005.10759 | Francesco Toppan | N. Aizawa, Z. Kuznetsova and F. Toppan | ${\mathbb Z}_2\times {\mathbb Z}_2$-graded mechanics: the quantization | 30 pages. Final version to appear in Nucl. Phys. B | Nucl. Phys. B 967 (2021) 115426 | 10.1016/j.nuclphysb.2021.115426 | Preprint CBPF-NF-003/20 | hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the previous paper arXiv:2003.06470 we introduced the notion of ${\mathbb
Z}_2\times{\mathbb Z}_2$-graded classical mechanics and presented a general
framework to construct, in the Lagrangian setting, the worldline sigma models
invariant under a ${\mathbb Z}_2\times{\mathbb Z}_2$-graded superalgebra. In
this work we discuss at first the classical Hamiltonian formulation of some of
these models and later present their canonical quantization. As the simplest
application of the construction we recover the ${\mathbb Z}_2\times{\mathbb
Z}_2$-graded quantum Hamiltonian introduced by Bruce and Duplij in
arXiv:1904.06975. We prove that this is the first example of a large class of
${\mathbb Z}_2\times{\mathbb Z}_2$-graded quantum models. We derive in
particular interacting multiparticle quantum Hamiltonians given by Hermitian,
matrix, differential operators. The interacting terms appear as non-diagonal
entries in the matrices. The construction of the Noether charges, both
classical and quantum, is presented. A comprehensive discussion of the
different ${\mathbb Z}_2\times{\mathbb Z}_2$-graded symmetries possessed by the
quantum Hamiltonians is given.
| [
{
"created": "Thu, 21 May 2020 16:23:46 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2021 18:19:49 GMT",
"version": "v2"
}
] | 2021-05-03 | [
[
"Aizawa",
"N.",
""
],
[
"Kuznetsova",
"Z.",
""
],
[
"Toppan",
"F.",
""
]
] | In the previous paper arXiv:2003.06470 we introduced the notion of ${\mathbb Z}_2\times{\mathbb Z}_2$-graded classical mechanics and presented a general framework to construct, in the Lagrangian setting, the worldline sigma models invariant under a ${\mathbb Z}_2\times{\mathbb Z}_2$-graded superalgebra. In this work we discuss at first the classical Hamiltonian formulation of some of these models and later present their canonical quantization. As the simplest application of the construction we recover the ${\mathbb Z}_2\times{\mathbb Z}_2$-graded quantum Hamiltonian introduced by Bruce and Duplij in arXiv:1904.06975. We prove that this is the first example of a large class of ${\mathbb Z}_2\times{\mathbb Z}_2$-graded quantum models. We derive in particular interacting multiparticle quantum Hamiltonians given by Hermitian, matrix, differential operators. The interacting terms appear as non-diagonal entries in the matrices. The construction of the Noether charges, both classical and quantum, is presented. A comprehensive discussion of the different ${\mathbb Z}_2\times{\mathbb Z}_2$-graded symmetries possessed by the quantum Hamiltonians is given. |
hep-th/0502139 | Anatoly Shabad | A.E.Shabad | Black-hole concept of a point-like nucleus with supercritical charge | 22 pages, 5 figures, LATEX requires IOPART | J.Phys.A38:7419,2005 | 10.1088/0305-4470/38/33/014 | null | hep-th hep-ph quant-ph | null | The Dirac equation for an electron in the central Coulomb field of a
point-like nucleus with the charge greater than 137 is considered. This
singular problem, to which the fall-down onto the centre is inherent, is
addressed using a new approach, based on a black-hole concept of the singular
centre and capable of producing cut-off-free results. To this end the Dirac
equation is presented as a generalized eigenvalue boundary problem of a
self-adjoint operator. The eigenfunctions make complete sets, orthogonal with a
singular measure, and describe particles, asymptotically free and
delta-function-normalizable both at infinity and near the singular centre
$r=0$. The barrier transmission coefficient for these particles responsible for
the effects of electron absorption and spontaneous electron-positron pair
production is found analytically as a function of electron energy and charge of
the nucleus. The singular threshold behaviour of the corresponding amplitudes
substitutes for the resonance behaviour, typical of the conventional theory,
which appeals to a finite-size nucleus.
| [
{
"created": "Tue, 15 Feb 2005 17:36:36 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Shabad",
"A. E.",
""
]
] | The Dirac equation for an electron in the central Coulomb field of a point-like nucleus with the charge greater than 137 is considered. This singular problem, to which the fall-down onto the centre is inherent, is addressed using a new approach, based on a black-hole concept of the singular centre and capable of producing cut-off-free results. To this end the Dirac equation is presented as a generalized eigenvalue boundary problem of a self-adjoint operator. The eigenfunctions make complete sets, orthogonal with a singular measure, and describe particles, asymptotically free and delta-function-normalizable both at infinity and near the singular centre $r=0$. The barrier transmission coefficient for these particles responsible for the effects of electron absorption and spontaneous electron-positron pair production is found analytically as a function of electron energy and charge of the nucleus. The singular threshold behaviour of the corresponding amplitudes substitutes for the resonance behaviour, typical of the conventional theory, which appeals to a finite-size nucleus. |
2210.10167 | Nobuyuki Matsumoto | Yu Hamada, Nobuyuki Matsumoto | Energy of boundary of spacetime | 10 pages, 1 figure; v2: arguments clarified, references added; to
appear in PTEP | null | null | KEK-TH-2463, RBRC-1339 | hep-th gr-qc hep-ph | http://creativecommons.org/licenses/by/4.0/ | We consider how the energy can be stored in the boundary of spacetime, in
particular in a spherical bubble that can be made by a quantum gravitational
process. Our calculation is performed within the framework of classical
Einstein gravity by identifying the Gibbons-Hawking-York term as the membrane
action. We show that the energy of the bubble can be given consistently with
the Schwarzschild metric. The solution of the consistency condition suggests
positive membrane tension, which explains why we do not observe such
topological defects in ordinary experiences and also gives a mechanism for
suppressing the spacetime with boundary in a dynamical way.
| [
{
"created": "Tue, 18 Oct 2022 21:14:50 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Feb 2023 22:17:34 GMT",
"version": "v2"
}
] | 2023-02-23 | [
[
"Hamada",
"Yu",
""
],
[
"Matsumoto",
"Nobuyuki",
""
]
] | We consider how the energy can be stored in the boundary of spacetime, in particular in a spherical bubble that can be made by a quantum gravitational process. Our calculation is performed within the framework of classical Einstein gravity by identifying the Gibbons-Hawking-York term as the membrane action. We show that the energy of the bubble can be given consistently with the Schwarzschild metric. The solution of the consistency condition suggests positive membrane tension, which explains why we do not observe such topological defects in ordinary experiences and also gives a mechanism for suppressing the spacetime with boundary in a dynamical way. |
1707.05796 | Leo Rodriguez | Leo Rodriguez and Shanshan Rodriguez | On the Near Horizon Canonical Quantum Microstates from $AdS_2/CFT_1$ and
Conformal Weyl Gravity | 18 pages, no figures. Accepted version contributed to mdpi's Universe
collection on open questions in black hole physics | Universe 2017, 3, 56 | 10.3390/universe3030056 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the full asymptotic symmetry group of black holes belonging to the
same equivalence class of solutions within the Conformal Weyl Gravity
formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing
a Robinson-Wilczek two dimensional reduction, thus enabling the construction of
an effective quantum theory of the remaining field content. The resulting
energy momentum tensors generate asymptotic Virasoro algebras, to $s$-wave,
with calculable central extensions. These centers in conjunction with their
proper regularized lowest Virasoro eigen-modes yield the Bekenstein-Hawking
black hole entropy via the statistical Cardy formula. We also analyze quantum
holomorphic fluxes of the dual CFTs in the near horizon, giving rise to finite
Hawking temperatures weighted by the central charges of the respective black
hole spacetimes. We conclude with a discussion and outlook for future work.
| [
{
"created": "Tue, 18 Jul 2017 18:04:23 GMT",
"version": "v1"
}
] | 2017-07-20 | [
[
"Rodriguez",
"Leo",
""
],
[
"Rodriguez",
"Shanshan",
""
]
] | We compute the full asymptotic symmetry group of black holes belonging to the same equivalence class of solutions within the Conformal Weyl Gravity formalism. We do this within an $AdS_2/CFT_1$ correspondence and by performing a Robinson-Wilczek two dimensional reduction, thus enabling the construction of an effective quantum theory of the remaining field content. The resulting energy momentum tensors generate asymptotic Virasoro algebras, to $s$-wave, with calculable central extensions. These centers in conjunction with their proper regularized lowest Virasoro eigen-modes yield the Bekenstein-Hawking black hole entropy via the statistical Cardy formula. We also analyze quantum holomorphic fluxes of the dual CFTs in the near horizon, giving rise to finite Hawking temperatures weighted by the central charges of the respective black hole spacetimes. We conclude with a discussion and outlook for future work. |
2201.03595 | Djamal Dou | A. Allouche and D. Dou | Euclidean Time Approach to Entanglement Entropy on Lattices and Fuzzy
Spaces | Minor corrections, in particular fixing the order of the tensor (
Kronecker) product of the matrices | null | 10.1007/JHEP04(2022)051 | null | hep-th cond-mat.stat-mech gr-qc hep-lat quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent letter, we developed a novel Euclidean time approach to compute
R\'{e}nyi entanglement entropy on lattices and fuzzy spaces based on Green's
function. The present work is devoted in part to the explicit proof of the
Green's matrix function formula which was quoted and used in the previous
letter, and on the other part to some applications of this formalism. We focus
on scalar theory on 1+1 lattice. We also use the developed approach to go
systematically beyond the Gaussian case by considering interacting models, in
particular our results confirm earlier expectations concerning the correction
to the entanglement at first order. We finally outline how this approach can be
used to compute the entanglement entropy on fuzzy spaces for free and
interacting scalar theories.
| [
{
"created": "Mon, 10 Jan 2022 19:03:06 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Mar 2022 06:28:27 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Jul 2023 10:27:53 GMT",
"version": "v3"
}
] | 2023-07-19 | [
[
"Allouche",
"A.",
""
],
[
"Dou",
"D.",
""
]
] | In a recent letter, we developed a novel Euclidean time approach to compute R\'{e}nyi entanglement entropy on lattices and fuzzy spaces based on Green's function. The present work is devoted in part to the explicit proof of the Green's matrix function formula which was quoted and used in the previous letter, and on the other part to some applications of this formalism. We focus on scalar theory on 1+1 lattice. We also use the developed approach to go systematically beyond the Gaussian case by considering interacting models, in particular our results confirm earlier expectations concerning the correction to the entanglement at first order. We finally outline how this approach can be used to compute the entanglement entropy on fuzzy spaces for free and interacting scalar theories. |
0710.0962 | Ralf Hofmann | Ralf Hofmann | Yang-Mills thermodynamics | v3: 39 pages, 6 figures, slight modification of introduction,
information added to Secs. 3.1. and 3.3 | null | null | KA-TP-19-2007 | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a quantitative analysis of Yang-Mills thermodynamics in 4D flat
spacetime. The focus is on the gauge group SU(2). Results for SU(3) are
mentioned in passing. Although all essential arguments and results were
reported elsewhere we summarize them here in a concise way and offer a number
of refinements and some additions.
| [
{
"created": "Thu, 4 Oct 2007 09:31:00 GMT",
"version": "v1"
},
{
"created": "Wed, 12 Dec 2007 14:17:51 GMT",
"version": "v2"
},
{
"created": "Thu, 5 Nov 2009 09:27:05 GMT",
"version": "v3"
}
] | 2009-11-05 | [
[
"Hofmann",
"Ralf",
""
]
] | We present a quantitative analysis of Yang-Mills thermodynamics in 4D flat spacetime. The focus is on the gauge group SU(2). Results for SU(3) are mentioned in passing. Although all essential arguments and results were reported elsewhere we summarize them here in a concise way and offer a number of refinements and some additions. |
0912.0460 | Kim Laine | Kim Laine | Geometric and topological aspects of Type IIB D-branes | 135 pages, Master's thesis (advisor Jouko Mickelsson), University of
Helsinki | null | null | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In string theory D-branes can be classified by the RR-charge they carry. In
the simplest case the quantized RR-charge takes values in K-theory of the
spacetime manifold. However, if the D-brane worldvolume is not spin^c or if
there is a background B-field present, the Freed-Witten anomaly cancellation
condition requires the RR-charge to take values in twisted K-theory. Twisted
K-theory can be defined using the language of noncommutative geometry, thus
opening up a possibility for noncommutative generalizations, in particular of
the Minasian-Moore formula for the classical approximation of the charge (as
was done in arXiv:hep-th/0607020v3). A friendly introduction to these topics is
given.
| [
{
"created": "Wed, 2 Dec 2009 19:55:04 GMT",
"version": "v1"
}
] | 2009-12-03 | [
[
"Laine",
"Kim",
""
]
] | In string theory D-branes can be classified by the RR-charge they carry. In the simplest case the quantized RR-charge takes values in K-theory of the spacetime manifold. However, if the D-brane worldvolume is not spin^c or if there is a background B-field present, the Freed-Witten anomaly cancellation condition requires the RR-charge to take values in twisted K-theory. Twisted K-theory can be defined using the language of noncommutative geometry, thus opening up a possibility for noncommutative generalizations, in particular of the Minasian-Moore formula for the classical approximation of the charge (as was done in arXiv:hep-th/0607020v3). A friendly introduction to these topics is given. |
2306.03780 | Wladyslaw Wachowski | A. O. Barvinsky and W. Wachowski | Notes on conformal anomaly, nonlocal effective action and the
metamorphosis of the running scale | Comments on the minimal form of the conformal Wess-Zumino action and
a-theorem are added along with the additional new reference | Phys. Rev. D 108, 045014 (2023) | 10.1103/PhysRevD.108.045014 | null | hep-th gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We discuss the structure of nonlocal effective action generating the
conformal anomaly in classically Weyl invariant theories in curved spacetime.
By the procedure of conformal gauge fixing, selecting the metric representative
on a conformal group orbit, we split the renormalized effective action into
anomalous and Weyl invariant parts. A wide family of thus obtained anomalous
actions is shown to include two special cases of Riegert--Fradkin--Tseytlin and
Fradkin--Vilkovisky actions. Both actions are shown to be contained in the
first three orders of the curvature expansion for a generic one-loop effective
action obtained by covariant perturbation theory. The complementary Weyl
invariant part of the action is given by the ``conformization'' of the full
effective action -- restricting its argument to the conformally invariant
representative of the orbit of the conformal group. This is likely to resolve a
long-standing debate between the proponents of the Riegert action and adherents
of the perturbation expansion for the effective action with typical nonlocal
logarithmic form factors. We derive the relation between quantum stress tensors
on conformally related metric backgrounds, which generalizes the known
Brown-Cassidy equation to the case of nonzero Weyl tensor, and discuss
applications of this relation in the cosmological model driven by conformal
field theory. We also discuss the issue of renormalization group running for
the cosmological and gravitational coupling constants and show that it exhibits
a kind of a metamorphosis to the nonlocal form factors of the so-called
partners of the cosmological and Einstein terms -- nonlocal curvature squared
terms of the effective action.
| [
{
"created": "Tue, 6 Jun 2023 15:34:50 GMT",
"version": "v1"
},
{
"created": "Wed, 7 Jun 2023 11:23:15 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Jul 2023 14:09:03 GMT",
"version": "v3"
}
] | 2023-11-16 | [
[
"Barvinsky",
"A. O.",
""
],
[
"Wachowski",
"W.",
""
]
] | We discuss the structure of nonlocal effective action generating the conformal anomaly in classically Weyl invariant theories in curved spacetime. By the procedure of conformal gauge fixing, selecting the metric representative on a conformal group orbit, we split the renormalized effective action into anomalous and Weyl invariant parts. A wide family of thus obtained anomalous actions is shown to include two special cases of Riegert--Fradkin--Tseytlin and Fradkin--Vilkovisky actions. Both actions are shown to be contained in the first three orders of the curvature expansion for a generic one-loop effective action obtained by covariant perturbation theory. The complementary Weyl invariant part of the action is given by the ``conformization'' of the full effective action -- restricting its argument to the conformally invariant representative of the orbit of the conformal group. This is likely to resolve a long-standing debate between the proponents of the Riegert action and adherents of the perturbation expansion for the effective action with typical nonlocal logarithmic form factors. We derive the relation between quantum stress tensors on conformally related metric backgrounds, which generalizes the known Brown-Cassidy equation to the case of nonzero Weyl tensor, and discuss applications of this relation in the cosmological model driven by conformal field theory. We also discuss the issue of renormalization group running for the cosmological and gravitational coupling constants and show that it exhibits a kind of a metamorphosis to the nonlocal form factors of the so-called partners of the cosmological and Einstein terms -- nonlocal curvature squared terms of the effective action. |
hep-th/0211182 | Shamit Kachru | Shamit Kachru, Michael B. Schulz, Prasanta K. Tripathy and Sandip P.
Trivedi | New Supersymmetric String Compactifications | 43 pages, harvmac big | JHEP 0303:061,2003 | 10.1088/1126-6708/2003/03/061 | CALT-68-2408, SLAC-PUB-9542, SU-ITP-02/38, TIFR/TH/02-32 | hep-th | null | We describe a new class of supersymmetric string compactifications to 4d
Minkowski space. These solutions involve type II strings propagating on
(orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR
fluxes. The simplest examples have descriptions as cosets, generalizing the
three-dimensional nilmanifold. They can also be thought of as twisted tori. We
derive a formula for the (super)potential governing the light fields, which is
generated by the fluxes and certain ``twists'' in the geometry. Detailed
consideration of an example also gives strong evidence that in some cases,
these exotic geometries are related by smooth transitions to standard
Calabi-Yau or G2 compactifications of M-theory.
| [
{
"created": "Tue, 19 Nov 2002 19:40:20 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kachru",
"Shamit",
""
],
[
"Schulz",
"Michael B.",
""
],
[
"Tripathy",
"Prasanta K.",
""
],
[
"Trivedi",
"Sandip P.",
""
]
] | We describe a new class of supersymmetric string compactifications to 4d Minkowski space. These solutions involve type II strings propagating on (orientifolds of) non Calabi-Yau spaces in the presence of background NS and RR fluxes. The simplest examples have descriptions as cosets, generalizing the three-dimensional nilmanifold. They can also be thought of as twisted tori. We derive a formula for the (super)potential governing the light fields, which is generated by the fluxes and certain ``twists'' in the geometry. Detailed consideration of an example also gives strong evidence that in some cases, these exotic geometries are related by smooth transitions to standard Calabi-Yau or G2 compactifications of M-theory. |
0910.0326 | Kiyoshi Kamimura | Joaquim Gomis, Kiyoshi Kamimura and Jerzy Lukierski | Deformed Maxwell Algebras and their Realizations | 10 pages, Talk based on [1] in the XXV-th Max Born Symposium "Planck
Scale", held in Wroclaw 29.06-3.07.2009 | null | 10.1063/1.3284373 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study all possible deformations of the Maxwell algebra. In D=d+1\neq 3
dimensions there is only one-parameter deformation. The deformed algebra is
isomorphic to so(d+1,1)\oplus so(d,1) or to so(d,2)\oplus so(d,1) depending on
the signs of the deformation parameter. We construct in the dS (AdS) space a
model of massive particle interacting with Abelian vector field via non-local
Lorentz force. In D=2+1 the deformations depend on two parameters b and k. We
construct a phase diagram, with two parts of the (b,k) plane with so(3,1)\oplus
so(2,1) and so(2,2)\oplus so(2,1) algebras separated by a critical curve along
which the algebra is isomorphic to Iso(2,1)\oplus so(2,1). We introduce in
D=2+1 the Volkov-Akulov type model for a Abelian Goldstone-Nambu vector field
described by a non-linear action containing as its bilinear term the free
Chern-Simons Lagrangean.
| [
{
"created": "Fri, 2 Oct 2009 05:10:34 GMT",
"version": "v1"
}
] | 2015-05-14 | [
[
"Gomis",
"Joaquim",
""
],
[
"Kamimura",
"Kiyoshi",
""
],
[
"Lukierski",
"Jerzy",
""
]
] | We study all possible deformations of the Maxwell algebra. In D=d+1\neq 3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d+1,1)\oplus so(d,1) or to so(d,2)\oplus so(d,1) depending on the signs of the deformation parameter. We construct in the dS (AdS) space a model of massive particle interacting with Abelian vector field via non-local Lorentz force. In D=2+1 the deformations depend on two parameters b and k. We construct a phase diagram, with two parts of the (b,k) plane with so(3,1)\oplus so(2,1) and so(2,2)\oplus so(2,1) algebras separated by a critical curve along which the algebra is isomorphic to Iso(2,1)\oplus so(2,1). We introduce in D=2+1 the Volkov-Akulov type model for a Abelian Goldstone-Nambu vector field described by a non-linear action containing as its bilinear term the free Chern-Simons Lagrangean. |
hep-th/0307032 | John H. Schwarz | Curtis G. Callan, Jr., Hok Kong Lee, Tristan McLoughlin, John H.
Schwarz, Ian Swanson, and Xinkai Wu | Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave | 39 pages; substantial improvements | Nucl.Phys.B673:3-40,2003 | 10.1016/j.nuclphysb.2003.09.008 | PUPT-2089, CALT-68-2426 | hep-th | null | In a certain kinematic limit, where the effects of spacetime curvature (and
other background fields) greatly simplify, the light-cone gauge world-sheet
action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free
field theory. It has been conjectured by Berenstein, Maldacena, and Nastase
that the energy spectrum of this string theory matches the dimensions of
operators in the appropriately defined large R-charge large-N_c sector of N=4
supersymmetric Yang--Mills theory in four dimensions. This holographic
equivalence is thought to be exact, independent of any simplifying kinematic
limits. As a step toward verifying this larger conjecture, we have computed the
complete set of first curvature corrections to the spectrum of light-cone gauge
string theory that arises in the expansion of AdS_5 x S^5 about the plane-wave
limit. The resulting spectrum has the complete dependence on lambda = g_YM^2
N_c; corresponding results in the gauge theory are known only to second order
in lambda. We find precise agreement to this order, including the N=4 extended
supermultiplet structure. In the process, we demonstrate that the complicated
schemes put forward in recent years for defining the Green--Schwarz superstring
action in background Ramond-Ramond fields can be reduced to a practical (and
correct) method for quantizing the string.
| [
{
"created": "Wed, 2 Jul 2003 23:37:35 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Jul 2003 19:51:03 GMT",
"version": "v2"
},
{
"created": "Mon, 4 Aug 2003 20:53:23 GMT",
"version": "v3"
}
] | 2012-08-27 | [
[
"Callan,",
"Curtis G.",
"Jr."
],
[
"Lee",
"Hok Kong",
""
],
[
"McLoughlin",
"Tristan",
""
],
[
"Schwarz",
"John H.",
""
],
[
"Swanson",
"Ian",
""
],
[
"Wu",
"Xinkai",
""
]
] | In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-N_c sector of N=4 supersymmetric Yang--Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS_5 x S^5 about the plane-wave limit. The resulting spectrum has the complete dependence on lambda = g_YM^2 N_c; corresponding results in the gauge theory are known only to second order in lambda. We find precise agreement to this order, including the N=4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green--Schwarz superstring action in background Ramond-Ramond fields can be reduced to a practical (and correct) method for quantizing the string. |
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