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Title:
The supersymmetric Cardy formula from effective actions
Speaker:
Abstract:
In this talk, I will discuss supersymmetric Cardy formulae in d=4 and d=6. These formulae govern the universal behavior in the high-temperature regime of supersymmetric partition functions — or, in the case of the superconformal index, they govern the high-energy asymptotics of SUSY operators at large energy. I will outline the proof of the 6d and 4d Cardy formulae for theories with moduli spaces of vacua, which relies on an effective supersymmetric Chern-Simons action in 5d and 3d, respectively. I will argue that this effective action is universal and intimately related to perturbative as well as global gravitational anomalies. Finally, I will discuss some immediate consequences of our results and briefly compare and distinguish our results to other (more recent) proposals for Cardy formulae.
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