Asymptotic symmetries of AdS_2 and conformal group in d=1

TL;DR

This paper explores the asymptotic symmetries of AdS_2 space and their connection to the conformal group in one dimension, providing insights into black hole entropy and the AdS_2/CFT_1 duality.

Contribution

It offers a detailed analysis of AdS_2 asymptotic symmetries and their link to conformal symmetry, including a microscopical derivation of 2d black hole entropy.

Findings

Asymptotic symmetries of AdS_2 are characterized and related to conformal group in d=1.

Derived the entropy of 2d black holes microscopically using these symmetries.

Discussed implications for the AdS_2/CFT_1 duality.

Abstract

We present a detailed discussion of the asymptotic symmetries of Anti-de Sitter space in two dimensions and their relationship with the conformal group in one dimension. We use this relationship to give a microscopical derivation of the entropy of 2d black holes that have asymptotically Anti-de Sitter behaviour. The implications of our results for the conjectured AdS_2/CFT_1 duality are also discussed.