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.
