Topic: Logarithmic corrections to near-extremal entropy of charged de Sitter black holes
Speaker: Dr. Sabyasachi Maulik
Coordinates: PCFT C1124, 16:00, Thursday, October 30
Abstract: I discuss logarithmic in temperature corrections to the thermodynamics of a four-dimensional near-extremal Reissner-Nordstrom de Sitter (dS) black hole by computing an one-loop contribution within the Euclidean path integral framework in the near-horizon limit. Due to the presence of three horizons, the extremal limit of a charged dS black hole is fundamentally different from its flat and AdS counterparts. In the near-horizon limit, there are three distinct extremal limits known as cold, Nariai, and ultracold configurations. I discuss how to obtain the tensor zero modes of the Lichnerowicz operator acting on linearized metric perturbations for the cold and Nariai extremal limits which are associated with near-horizon AdS_{2} and dS_{2} asymptotic symmetries. The computation establishes the result that at leading order, the small temperature corrections to the extremal entropy is universal in the cold and Nariai limit.