The central charge in three dimensional anti-de Sitter space

TL;DR

This paper reviews different methods of calculating the central charge in three-dimensional anti-de Sitter spaces within the Chern-Simons framework, highlighting their similarities and differences.

Contribution

It systematically compares various approaches to computing the central charge in 3D AdS spaces, clarifying their relationships and distinctions.

Findings

Multiple methods yield the same central charge value

Differences in approaches are primarily in formulation details

Clarifies the role of Chern-Simons theory in AdS/CFT correspondence

Abstract

This paper collects the various ways of computing the central charge $c=3l/2G$ arising in 3d asymptotically anti-de Sitter spaces, in the Chern-Simons formulation. Their similarities and differences are displayed.