More on Five Dimensional EVH Black Rings

TL;DR

This paper explores the near horizon geometries of five-dimensional EVH black rings, revealing AdS3 throats and extending the EVH/CFT correspondence to these solutions, with implications for understanding black ring microstates.

Contribution

It provides a detailed analysis of the near horizon limits of EVH black rings and extends the EVH/CFT correspondence to include these five-dimensional solutions.

Findings

EVH black rings exhibit AdS3 throats in the near horizon limit.

Near-EVH black rings are described by BTZ black holes.

The study extends the EVH/CFT duality to black rings.

Abstract

In this paper we continue our analysis of arXiv:1308.1478[hep-th] and study in detail the parameter space of three families of doubly spinning black ring solutions: balanced black ring, unbalanced ring and dipole-charged balanced black rings. In all these three families the Extremal Vanishing Horizon (EVH) ring appears in the vanishing limit of the dimensionful parameter of the solution which measures the ring size. We study the near horizon limit of the EVH black rings and for all three cases we find a (pinching orbifold) AdS$_3$ throat with the AdS$_3$ radius $\ell^2=8 G_5 M/(3\pi)$ where $M$ is the ring mass and $G_5$ is the 5d Newton constant. We also discuss the near horizon limit of near-EVH black rings and show that the AdS$_3$ factor is replaced with a generic BTZ black hole. We use these results to extend the EVH/CFT correspondence for black rings, a 2d CFT dual to near-EVH black rings.