Two Dimensional Anti-de Sitter Space and Discrete Light Cone Quantization

Abstract

We realize the two dimensional anti-de Sitter ($Ad{S}_2$) space as a Kaluza-Klein reduction of the $Ad{S}_3$ space in the framework of the discrete light cone quantization (DLCQ). Introducing DLCQ coordinates which interpolate the original (unboosted) coordinates and the light cone coordinates, we discuss that $Ad{S}_2/CFT$ correspondence can be deduced from the $Ad{S}_3/CFT$. In particular, we elaborate on the deformation of WZW model to obtain the boundary theory for the $Ad{S}_2$ black hole. This enables us to derive the entropy of the $Ad{S}_2$ black hole from that of the $Ad{S}_3$ black hole.

RevTeX, 11 pages, shorter version to appear in PLB

References in corpus (1)

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