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• W4387364089 abstract "A bstract Conical defects of the form ( AdS 3 × $$ {mathbbm{S}}^3 $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:math> )/ ℤ k 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 CFT 2 . One can analytically continue the construction to Euclidean AdS 3 (i.e. the hyperbolic ball $$ {mathbb{H}}_3^{+} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mi>ℍ</mml:mi> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> ) and consider the orbifold by any infinite discrete (Kleinian) group generated by a set of elliptic elements γ i ∈ SL(2, ℂ ), $$ {gamma}_i^{{textrm{k}}_i} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mi>γ</mml:mi> <mml:mi>i</mml:mi> <mml:msub> <mml:mi>k</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:msubsup> </mml:math> = 𝟙, i = 1, . . . , K . The resulting geometry consists of multiple conical defects traveling along geodesics in $$ {mathbb{H}}_3^{+} $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msubsup> <mml:mi>ℍ</mml:mi> <mml:mn>3</mml:mn> <mml:mo>+</mml:mo> </mml:msubsup> </mml:math> , and provides a semiclassical bulk description of correlation functions in the dual CFT involving the corresponding defect operators, which is nonperturbatively exact in α ′ . 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." @default.
• W4387364089 created "2023-10-06" @default.
• W4387364089 creator A5073634599 @default.
• W4387364089 date "2023-10-04" @default.
• W4387364089 modified "2023-10-06" @default.
• W4387364089 title "AdS3 orbifolds, BTZ black holes, and holography" @default.
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