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Partition function on Hopf surfaces and supersymmetric Casimir energy

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I will discuss the partition function of 4d N=1 theories on Hopf surfaces. These are diffeomorphic to S1 x S3 and the partition function provides a path integral realization of the supersymmetric index. Its large S^1 limit exhibits a universal behaviour associated to the existence of a non-vanishing vacuum energy. I will argue that this Casimir energy is intrinsic (scheme-independent) and can be computed as the vev of the Hamiltonian in the free limit of the theory.

This talk is part of the Quantum Fields and Strings Seminars series.

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