AdS_3/CFT_2 correspondence at finite temperature

TL;DR

This paper explores the AdS_3/CFT_2 correspondence at finite temperature, deriving correlation functions and analyzing the T-duality of BTZ black holes, advancing understanding of holography in thermal settings.

Contribution

It establishes the AdS_3/CFT_2 correspondence at finite temperature and computes correlation functions using a specific regularization method.

Findings

Correlation functions at finite temperature are derived.

BTZ black holes are T-dual to non-singular AdS_3 solutions.

The regularization approach aligns with previous holographic methods.

Abstract

The AdS/CFT correspondence is established for the AdS_3 space compactified on a solid torus with the CFT field on the boundary. Correlation functions that correspond to the bulk theory at finite temperature are obtained in the regularization a'la Gubser, Klebanov, and Polyakov. The BTZ black hole solutions in AdS_3 are T-dual to the solution in the AdS_3 space without singularity.