CFT Duals of Black Rings With Higher Derivative Terms

TL;DR

This paper explores the dual conformal field theory descriptions of supersymmetric five-dimensional black rings with higher derivative corrections, confirming the microscopic entropy matches the macroscopic calculations via two different methods.

Contribution

It demonstrates that both Kerr/CFT and c-extremization approaches yield consistent central charges and entropies for black rings with higher derivative terms.

Findings

Central charge computed via Kerr/CFT matches macroscopic entropy.

c-extremization approach confirms the same central charge.

Relationship between geometries clarified through AdS3 orbifold.

Abstract

We study possible CFT duals of supersymmetric five dimensional black rings in the presence of supersymmetric higher derivative corrections to the N=2 supergravity action. A Virasoro algebra associated to an asymptotic symmetry group of solutions is defined by using the Kerr/CFT approach. We find the central charge and compute the microscopic entropy which is in precise agreement with the macroscopic entropy. Although apparently related to a different aspect of the near-horizon geometry and a different Virasoro algebra, we find that the c-extremization method leads to the same central charge and microscopic entropy computed in the Kerr/CFT approach. The relationship between these two point of view is clarified by relating the geometry to a self-dual orbifold of AdS3.