Near the horizon of 5D black rings

TL;DR

This paper investigates the near horizon geometry of five-dimensional N=2 black rings, revealing supersymmetry enhancement and matching macroscopic entropy calculations with microscopic results.

Contribution

It identifies the supergroup of the near horizon geometry and demonstrates agreement between various entropy computation methods.

Findings

Supergroup of near horizon geometry is OSp(4*|2)×U(1)

Supersymmetry enhancement near the horizon

Consistency between entropy function, c-extremization, and microscopic entropy

Abstract

For the five dimensional N=2 black rings, we study the supersymmetry enhancement and identify the global supergroup of the near horizon geometry. We show that the global part of the supergroup is OSp(4*|2)X U(1) which is similar to the small black string. We show that results obtained by applying the entropy function formalism, the c-extremization approach and the Brown-Henneaux method to the black ring solution are in agreement with the microscopic entropy calculation.