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383
Holography and cosmology
"... Preprint typeset in JHEP style. PAPER VERSION hepth/9911067 ..."
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Cited by 96 (13 self)
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Preprint typeset in JHEP style. PAPER VERSION hepth/9911067
Higherspin gauge interactions for massive matter fields
 in 3D AdS spacetime,” Nucl. Phys. B 545
, 1999
"... A remarkable feature of the models with interactions exhibiting higherspin (HS) gauge symmetries in d> 2 is that their most symmetric vacua require (anti)de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what might be expected of M theory HS gauge theories describe i ..."
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A remarkable feature of the models with interactions exhibiting higherspin (HS) gauge symmetries in d> 2 is that their most symmetric vacua require (anti)de Sitter (AdS) geometry rather than the flat one. In striking parallelism to what might be expected of M theory HS gauge theories describe infinite towers of fields of all spins and possess naturally spacetime SUSY and ChanPaton type inner symmetries. In this paper, we analyze at the level of the equations of motion the simplest nontrivial HS model which describes HS gauge interactions (on the top of the usual supergravitational and (ChernSimons) YangMills interactions) of massive spin0 and spin1/2 matter fields in d = 2 + 1 AdS spacetime. The parameter of mass of the matter fields is identified with the vev of a certain auxiliary field in the model. The matter fields are shown to be arranged into d3 N = 2 massive hypermultiplets in certain representations of U(n) × U(m) YangMills gauge groups. Discrete symmetries of the full system are studied, and the related N = 1 supersymmetric truncations with O(n) and Sp(n) YangMills symmetries are constructed. The simplicity of the model allows us to elucidate some general properties of the HS models. In particular, a new result, which can have interesting implications to the higherdimensional models, is that our model is shown to admit an “integrating” flow that proves existence of a nonlocal BäcklundNicolai–type mapping to the free system.
Relativistic viscous hydrodynamics, conformal invariance, and holography
 JHEP
"... Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bj ..."
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Cited by 85 (2 self)
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Abstract: We consider secondorder viscous hydrodynamics in conformal field theories at finite temperature. We show that conformal invariance imposes powerful constraints on the form of the secondorder corrections. By matching to the AdS/CFT calculations of correlators, and to recent results for Bjorken flow obtained by Heller and Janik, we find three (out of five) secondorder transport coefficients in the strongly coupled N = 4 supersymmetric YangMills theory. We also discuss how these new coefficents can arise within the kinetic theory of weakly coupled conformal plasmas. We point out that the MüllerIsraelStewart theory, often used in numerical simulations, does not contain all allowed secondorder terms and, frequently, terms required by conformal invariance. Contents
4d conformal field theories and strings on orbifolds,” Phys
 Rev. Lett
, 1998
"... We propose correspondences between 4d quantum field theories with N = 2, 1, 0 (super)conformal invariance and Type IIB string theory on various orbifolds of AdS 5 × S 5 . We argue using the spacetime string theory, and check using the beta functions (exactly for N = 2, 1 and so far at 1loop for th ..."
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Cited by 75 (8 self)
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We propose correspondences between 4d quantum field theories with N = 2, 1, 0 (super)conformal invariance and Type IIB string theory on various orbifolds of AdS 5 × S 5 . We argue using the spacetime string theory, and check using the beta functions (exactly for N = 2, 1 and so far at 1loop for the gauge couplings in the N = 0 case), that these theories have conformal fixed lines. The latter case potentially gives welldefined nonsupersymmetric vacua of string theory, with a mechanism for making the curvature and cosmological constant small at nontrivial string coupling. We suggest a correspondence between nonsupersymmetric conformal fixed lines and nonsupersymmetric string vacua with vanishing vacuum energy.
Lectures on Dbranes
, 1998
"... This is an introduction to the physics of Dbranes. Topics covered include Polchinski’s original calculation, a critical assessment of some duality checks, Dbrane scattering, and effective worldvolume actions. Based on lectures given in 1997 at the Isaac Newton ..."
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Cited by 69 (5 self)
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This is an introduction to the physics of Dbranes. Topics covered include Polchinski’s original calculation, a critical assessment of some duality checks, Dbrane scattering, and effective worldvolume actions. Based on lectures given in 1997 at the Isaac Newton
Higher symmetries of the laplacian
, 206
"... Abstract. We identify the symmetry algebra of the Laplacian on Euclidean space as an explicit quotient of the universal enveloping algebra of the Lie algebra of conformal motions. We construct analogues of these symmetries on a general conformal manifold. 1. ..."
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Abstract. We identify the symmetry algebra of the Laplacian on Euclidean space as an explicit quotient of the universal enveloping algebra of the Lie algebra of conformal motions. We construct analogues of these symmetries on a general conformal manifold. 1.
Fredholm operators and Einstein metrics on conformally compact manifolds
"... Abstract. The main result of this paper is the existence of asymptotically hyperbolic Einstein metrics with prescribed conformal infinity sufficiently close to that of a given asymptotically hyperbolic Einstein metric with nonpositive curvature. If the conformal infinities are sufficiently smooth, t ..."
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Cited by 62 (3 self)
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Abstract. The main result of this paper is the existence of asymptotically hyperbolic Einstein metrics with prescribed conformal infinity sufficiently close to that of a given asymptotically hyperbolic Einstein metric with nonpositive curvature. If the conformal infinities are sufficiently smooth, the resulting Einstein metrics have optimal Hölder regularity at the boundary. The proof is based on sharp Fredholm theorems for selfadjoint geometric linear elliptic operators on asymptotically hyperbolic manifolds. 1.
Nonabelian tensormultiplet anomalies
 JHEP 9809
, 1998
"... We use the anomaly cancellation of the Mtheory fivebrane to derive the Rsymmetry anomalies of the AN (0, 2) tensormultiplet theories. This result leads to a simple derivation of black hole entropy in d = 4, N = 2 compactifications of Mtheory. We also show how the formalism of normal bundle anoma ..."
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Cited by 61 (3 self)
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We use the anomaly cancellation of the Mtheory fivebrane to derive the Rsymmetry anomalies of the AN (0, 2) tensormultiplet theories. This result leads to a simple derivation of black hole entropy in d = 4, N = 2 compactifications of Mtheory. We also show how the formalism of normal bundle anomaly cancellation clarifies the KaluzaKlein origin of ChernSimons terms in gauged supergravity theories. The results imply the existence of interesting 1/N corrections in the AdS/CFT correspondence. August
Holographic chiral phase transition with chemical potential
, 2006
"... We discuss the SakaiSugimoto model at finite temperature and finite chemical potential. It is a holographic model of large Nc QCD with Nf massless quarks based on a D4/D8D8 brane system. The near horizon limit of the D4branes and the probe approximation of the D8D8 pairs allow us to treat the D4 ..."
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Cited by 53 (1 self)
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We discuss the SakaiSugimoto model at finite temperature and finite chemical potential. It is a holographic model of large Nc QCD with Nf massless quarks based on a D4/D8D8 brane system. The near horizon limit of the D4branes and the probe approximation of the D8D8 pairs allow us to treat the D4branes as a gravitational background and the D8D8 pairs as a probe which does not affect the background. We propose that the asymptotic value of a U(1) gauge field on the D8D8branes is identified with the chemical potential for the baryon number. Using this chemical potential we analyze the phase structure of this model and find a chiral symmetry phase transition of the first order.
Starinets, “Minkowskispace correlators in AdS/CFT correspondence: Recipe and applications
, 2002
"... Abstract: We formulate a prescription for computing Minkowskispace correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the twodimensional conformal field theory dual ..."
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Cited by 48 (4 self)
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Abstract: We formulate a prescription for computing Minkowskispace correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the twodimensional conformal field theory dual to the BTZ black hole. Using the prescription, we calculate the ChernSimons diffusion constant of the finitetemperature N = 4 supersymmetric YangMills theory in the strong coupling limit. We explain why the quasinormal frequencies of the asymptotically AdS background correspond to the poles of the retarded Green’s function of the boundary conformal field theory.