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AdS/CFT correspondence
About: AdS/CFT correspondence is a research topic. Over the lifetime, 6660 publications have been published within this topic receiving 355520 citations.
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TL;DR: In this article, the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden symmetries at all frequencies.
Abstract: We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden symmetries at all frequencies. The retarded Green's function is determined by an action generated by conformal Killing vectors of de Sitter spacetime times a line. This observation uses the fact that the static patch of dS is conformal to the hyperbolic patch of AdS3 ? Sd ? 1. The poles of the propagators, the quasinormal frequencies, are generated by associated 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 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.
121 citations
TL;DR: In this article, a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space is presented, and the results of these results with closed string tachyon condensation in AdS5 is discussed.
Abstract: The logarithmic running of marginal double-trace operators is a general feature of 4-d field theories containing scalar fields in the adjoint or bifundamental representation Such operators provide leading contributions in the large-N limit; therefore, the leading terms in their beta functions must vanish for a theory to be large-N conformal We calculate the one-loop beta functions in orbifolds of the = 4 SYM theory by a discrete subgroup ? of the SU(4) R-symmetry, which are dual to string theory on AdS5 ? S5/? We present a general strategy for determining whether there is a fixed line passing through the origin of the coupling constant space Then we study in detail some classes of non-supersymmetric orbifold theories Among our examples, which include orbifolds acting freely on the S5, we do not find any large-N non-supersymmetric theories with fixed lines passing through the origin Connection of these results with closed string tachyon condensation in AdS5 ? S5/? is discussed
121 citations
TL;DR: In this paper, the authors investigated the time and radius of the apparent horizon formed as functions of the initial Gaussian profile for the scalar field and comment on several aspects of the dual field theory picture.
Abstract: Motivated by its field theory interpretation, we study gravitational collapse of a minimally coupled massless scalar field in Einstein gravity with a negative cosmological constant. After demonstrating the accuracy of the numerical algorithm for the questions we are interested in, we investigate various aspects of the apparent horizon formation. In particular, we study the time and radius of the apparent horizon formed as functions of the initial Gaussian profile for the scalar field. We comment on several aspects of the dual field theory picture.
121 citations
TL;DR: In this article, the authors compute Virasoro blocks in the heavy-light, large c limit, extending their previous results by determining perturbative 1=c corrections. But their results are restricted to the vacuum block, and only nonperturbative corrections can resolve the singularities associated with the information paradox.
Abstract: c. We compute Virasoro blocks in the heavy-light, large c limit, extending our previous results by determining perturbative 1=c corrections. We obtain explicit closed-form expressions for both the ‘semi-classical’ h 2 =c 2 and ‘quantum’ hL=c 2 corrections to the vacuum block, and we provide integral formulas for general Virasoro blocks. We comment on the interpretation of our results for thermodynamics, discussing how monodromies in Euclidean time can arise from AdS calculations using ‘geodesic Witten diagrams’. We expect that only non-perturbative corrections in 1=c can resolve the singularities associated with the information paradox.
121 citations
TL;DR: In this article, the authors show how the periodicity of geodesics obstructs a standard LSZ prescription for scattering within global AdS, and use the AdS/CFT duality to propose a large N collective field theory that describes local, perturbative supergravity.
Abstract: The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach finds the bulk S-matrix as a limit of scattering from an AdS bubble immersed in a space admitting asymptotic states. Next, we show how the periodicity of geodesics obstructs a standard LSZ prescription for scattering within global AdS. To avoid this subtlety we partition global AdS into patches within which CFT correlators reconstruct transition amplitudes of AdS states. Finally, we use the AdS/CFT duality to propose a large N collective field theory that describes local, perturbative supergravity. Failure of locality in quantum gravity should be related to the difference between the collective 1/N expansion and genuine finite N dynamics.
121 citations