Description |
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.
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