Physics Group Meeting

I will discuss recent progress about the Cardy-like asymptotics of 4d supersymmetric index on S^3, also known as superconformal index. The main observation is that Bose-Fermi cancellation that trivializes the asymptotic expression of the index can be obstructed by complexifying chemical potentials. Applied to N=4 SYM, the new asymptotic free energy reproduces the Bekenstein-Hawking entropy of the known 1/16 BPS black hole in AdS5. If time permits, I will also talk about some circumstantial evidences for new BPS black holes. (References: 1810.12067, 1811.08646, 1904.03455.)