Symmetry Breaking, Central Charges and the AdS_2/CFT_1 Correspondence

TL;DR

This paper explores how symmetry breaking in AdS_2 with a non-constant dilaton leads to a central charge in the Virasoro algebra, clarifying previous controversies about its value in the AdS_2/CFT_1 correspondence.

Contribution

It demonstrates that the central charge arises from SL(2,R) symmetry breaking in AdS_2 with a non-constant dilaton, resolving conflicting results in existing literature.

Findings

Central charge linked to symmetry breaking

Clarification of previous conflicting results

Insight into AdS_2/CFT_1 correspondence

Abstract

When two-dimensional Anti-de Sitter space (AdS_2) is endowed with a non-constant dilaton the origin of the central charge in the Virasoro algebra generating the asymptotic symmetries of AdS_2 can be traced back to the breaking of the SL(2,R) isometry group of AdS_2. We use this fact to clarify some controversial results appeared in the literature about the value of the central charge in these models.