Extremal black rings and hidden conformal symmetry

Abstract

The goal of this master's research has been to ascertain whether Kerr/CFT correspondence techniques can be applied to black rings to better understand their CFT duals. Our e orts were largely focused on the hidden conformal symmetry of the Kerr black hole and how this approach can be applied and matched to black ring solutions. To this end, we show that the Kerr black hole hidden conformal symmetry technique for extremal black holes can be applied to a U(1)3 supersymmetric black ring and the extremal double rotating black ring solutions. This allows us to determine the microscopic temperature of the left moving sector. To con rm our result, we compare our computation for the microscopic entropy (using the Cardy formula) to those obtained either through Bekenstein-Hawking formula or the asymptotic symmetry group approach.