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38
Excursions Beyond the Horizon: Black Hole Singularities in Yang–Mills Theories 1, JHEP 0604 (2006) 044, [arXiv:hepth/0506202
, 2003
"... We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finitetemperature correlation functions. We first establish a direct relation between spacelike geodesics in the bulk and momentum space Wightman functions of CFT operators of lar ..."
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Cited by 58 (6 self)
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We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finitetemperature correlation functions. We first establish a direct relation between spacelike geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finitetemperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity. June
Asymptotic quasinormal frequencies for black holes in nonasymptotically flat spacetimes
 J. Math. Phys
, 2004
"... hepth/0403132 ..."
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Quasinormal modes of planesymmetric black holes according to the AdS/CFT correspondence
, 2008
"... ..."
Quantum oscillations and black hole ringing
, 2009
"... We show that strongly coupled field theories with holographic gravity duals at finite charge density and low temperatures can undergo de Haas van Alphen quantum oscillations as a function of an external magnetic field. Exhibiting this effect requires computation of the one loop contribution of cha ..."
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Cited by 9 (0 self)
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We show that strongly coupled field theories with holographic gravity duals at finite charge density and low temperatures can undergo de Haas van Alphen quantum oscillations as a function of an external magnetic field. Exhibiting this effect requires computation of the one loop contribution of charged bulk fermions to the free energy. The one loop calculation is performed using a formula expressing determinants in black hole backgrounds as sums over quasinormal modes. At zero temperature, the periodic nonanalyticities in the magnetic susceptibility as a function of the inverse magnetic field depend on the low energy scaling behavior of fermionic operators in the field theory, and are found to be softer than in weakly coupled theories. We also obtain numerical and WKB results for the quasinormal modes of charged bosons in dyonic black hole backgrounds, finding evidence for nontrivial periodic behavior as a function of the magnetic field.
On quasinormal modes of asymptotically antide Sitter black holes,” arXiv:1306.5760 [grqc
"... Abstract. We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically antide Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the horizon the QNM should be identified with certain ..."
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Abstract. We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically antide Sitter black holes, with very general boundary conditions at infinity. We argue that for a time slicing regular at the horizon the QNM should be identified with certain Hk eigenvalues of the infinitesimal generator A of the solution semigroup. Using this definition we are able to prove directly that the quasinormal frequencies form a discrete, countable subset of C which in the globally stationary case accumulates only at infinity. We avoid any need for meromorphic extension, and the quasinormal modes are honest eigenfunctions of an operator on a Hilbert space. Our results apply to any of the linear fields usually considered (KleinGordon, Maxwell, Dirac etc.) on a stationary black hole background, and do not rely on any separability or analyticity properties of the metric. Our methods and results largely extend to the locally stationary case. We provide a counterexample to the conjecture that quasinormal modes are complete. We relate our approach directly to the standard approach via meromorphic continuation.
Static patch solipsism: conformal symmetry of the de Sitter worldline. Classical and Quantum Gravity
, 2012
"... We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden SL(2,R) symmetries, at all frequencies. The retarded Green’s function is determined by an SL(2,R) × SL(2,R) action generated by conformal Killing vectors of de ..."
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Cited by 5 (2 self)
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We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden SL(2,R) symmetries, at all frequencies. The retarded Green’s function is determined by an SL(2,R) × SL(2,R) action generated by conformal Killing vectors of de Sitter spacetime times a line. This observation uses the fact that the static patch of dSd+1×R is conformal to the hyperbolic patch of AdS3 × Sd−1. The poles of the propagators, the quasinormal frequencies, are generated by associated SL(2,R) actions. The quasinormal mode generating algebras capture the conformal weights more usually read off from the fields at future and past infinity. For conformally coupled scalar fields, and for gravitons in four dimensions, this SL(2,R) algebra has an enhanced supersymmetric structure and is generated by particular conformal Killing vectors of de Sitter spacetime. We show how the worldline de Sitter propagators can be reproduced from a ‘level matched ’ left and right moving conformal quantum mechanics with an appropriate spectrum of primary operators. Our observations are consistent with the notion that the static patch of de Sitter spacetime is dually described by a (level matched) large N worldline conformal quantum mechanics. ar
Perturbative Calculation of Quasinormal Modes of d–Dimensional Black Holes
, 2006
"... We study analytically quasinormal modes in a wide variety of black hole spacetimes, including d–dimensional asymptotically flat spacetimes and nonasymptotically flat spacetimes (particular attention has been paid to the four dimensional case). We extend the analytical calculation to include firsto ..."
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Cited by 3 (0 self)
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We study analytically quasinormal modes in a wide variety of black hole spacetimes, including d–dimensional asymptotically flat spacetimes and nonasymptotically flat spacetimes (particular attention has been paid to the four dimensional case). We extend the analytical calculation to include firstorder corrections to analytical expressions for quasinormal mode frequencies by making use of a monodromy technique. All possible type perturbations are included in this paper. The calculation performed in this paper show that systematic expansions for uncharged black holes include different corrections with the ones for charged black holes. This difference makes them have a different n–dependence relation in the firstorder correction formulae. The method applied above in calculating the firstorder corrections of quasinormal mode frequencies seems to be unavailable for black holes with small charge. This result supports the Neitzke’s prediction. On what concerns quantum gravity we confirm the view that the ln 3