Exact quantum entropy of black holes 2. From gravity to number theory

by Dr Sameer Murthy (TIFR)

Wednesday 13 Apr 2011, 14:30 → 15:30 Asia/Kolkata

A-304 (Colaba Campus)

In the second part, I shall describe the evaluation of the $AdS_2$ functional integral using techniques of supersymmetric localization. After sketching the formalism, I shall focus on the simple example of a supersymmetric black hole in N=4 string theory which has a solvable dual microscopic description as an ensemble of string excitations. I shall describe how the gravity functional integral leads to the microscopic \emph{integer} degeneracies of this black hole and its associated number theoretic properties.

Slides TIFRTalk2.pdf