Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals

TL;DR

This paper explores the duality between near-extremal vanishing horizon black holes in AdS5 and a 2D conformal field theory, revealing a new IR description via AdS3 throats and connecting to Kerr/CFT correspondence.

Contribution

It proposes an EVH/CFT2 duality for AdS5 black holes with Vanishing Horizon, linking their near-horizon geometry to a 2D CFT and relating UV and IR thermodynamics.

Findings

Establishment of a map between UV and IR excitations.

Reduction of the first law of thermodynamics from UV to IR.

Connection between EVH/CFT and Kerr/CFT correspondences.

Abstract

We consider families of charged rotating asymptotically AdS5 Extremal black holes with Vanishing Horizon (EVH black holes) whose near horizon geometries develop locally AdS3 throats. Using the AdS3/CFT2 duality, we propose an EVH/CFT2 correspondence to describe the near-horizon low energy IR dynamics of near-EVH black holes involving a specific large N limit of the 4d N = 4 SYM. We give a map between the UV and IR near-EVH excitations, showing that the UV first law of thermodynamics reduces to the IR first law satisfied by the near horizon BTZ black holes in this near-EVH limit. We also discuss the connection between our EVH/CFT proposal and the Kerr/CFT correspondence in the cases where the two overlap.