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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.