\(AdS_3\) orbifolds, BTZ black holes, and holography
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Publication:6083716
DOI10.1007/JHEP10(2023)016arXiv2307.02559OpenAlexW4387364089MaRDI QIDQ6083716
Author name not available (Why is that?)
Publication date: 8 December 2023
Published in: (Search for Journal in Brave)
Abstract: Conical defects of the form have an exact orbifold description in worldsheet string theory, which we derive from their known presentation as gauged Wess-Zumino-Witten models. The configuration of strings and fivebranes sourcing this geometry is well-understood, as is the correspondence to states/operators in the dual . One can analytically continue the construction to Euclidean (i.e. ) and consider the orbifold by any infinite discrete (Kleinian) group generated by a set of elliptic (rotational) elements. The resulting geometry consists of multiple conical defects traveling along geodesics in , and provides a semiclassical bulk description of correlation functions in the dual CFT involving the corresponding defect operators, which is nonperturbatively exact in . The Lorentzian continuation of these geometries describes a collection of defects colliding to make a BTZ black hole. We comment on a recent proposal to use such correlators to prepare a basis of black hole microstates, and elaborate on a picture of black hole formation and evaporation in terms of the underlying brane dynamics in the bulk.
Full work available at URL: https://arxiv.org/abs/2307.02559
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