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Résumé |
The talk will discuss recent progress in obtaining exact results for
supersymmetric gauge theories on Riemannian four-manifolds. I will
consider a very general geometry with S^1 x S^3 topology and present the
exact computation of the field theory partition function via localization
of the path integral. The result reproduces the supersymmetric index, and
includes a normalization factor that can be interpreted as a Casimir
energy. The latter gives the leading order contribution in a large N
expansion, hence providing a prediction for the on-shell action of dual
gravity solutions, of which I will present a new example. |
