### Black hole entropy from 5D twisted indices

I will describe the calculation of twisted indices of five dimensional gauge theories with minimal supersymmetry at large N, and show how this quantity is related to black hole entropy through the AdS/CFT correspondence. The indices I consider count BPS states on toric Kahler four manifolds with an R-symmetry twist, and are closely related to generalizations of Donaldson-Witten theory. I will show that the entropy of the corresponding charged BPS black holes can be calculated in terms of the effective prepotential using a novel set of Bethe ansatz equations.

**Tuesday, 4 December 2018, 14:30, Aula Wataghin**