Lectures on black holes and the AdS_3 / CFT_2 correspondence

TL;DR

This paper explores the relationship between AdS_3 black holes and 2D conformal field theories, focusing on refined partition functions that incorporate higher derivative and non-perturbative effects within the AdS/CFT framework.

Contribution

It provides a detailed derivation of black hole partition functions in AdS_3, including higher derivative corrections and non-perturbative effects, enhancing understanding of holographic dualities.

Findings

Refined black hole partition functions including higher derivatives.

Inclusion of non-perturbative effects in AdS_3 black hole analysis.

Enhanced understanding of AdS_3/CFT_2 correspondence.

Abstract

We present a detailed discussion of AdS_3 black holes and their connection to two-dimensional conformal field theories via the AdS/CFT correspondence. Our emphasis is on deriving refined versions of black hole partition functions, that include the effect of higher derivative terms in the spacetime action as well as non-perturbative effects. We include background material on gravity in AdS_3, in the context of holographic renormalization.