01/07/2014, 16:30 — 17:30 — Room P3.10, Mathematics Building
Sameer Murthy, King's College London
Exact quantum black hole entropy: a macroscopic window into quantum gravity
The pioneering work of Bekenstein and Hawking in the 70's produced a universal area law for black hole entropy valid in the infinite size limit. Quantum corrections to the gravitational action induce finite size corrections to the black hole entropy. I shall report on progress in the computation of the exact quantum entropy of supersymmetric black holes in supergravity, using localization techniques. In simple examples in string theory, one has a solvable dual microscopic description as an ensemble of microscopic excitations. I shall describe how the gravity functional integral leads to the microscopic integer degeneracies of this black hole, and its associated number theoretic properties.