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- W3023586999 abstract "We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition function of two-dimensional supersymmetric theories on a torus i.e. of the elliptic genus. The partition functions in question are on manifolds homeomorphic to the ones obtained by gluing solid tori. Such gluing involves the choice of a large diffeomorphism of the boundary torus, along with the choice of a large gauge transformation for the background flavor symmetry connections, if present. Our modular property is a manifestation of the consistency of the gluing procedure. The modular property is used to rederive a supersymmetric Cardy formula for four-dimensional gauge theories that has played a key role in computing the entropy of supersymmetric black holes. To be concrete, we work with four-dimensional N=1 supersymmetric theories but we expect versions of our result to apply more widely to supersymmetric theories in other dimensions." @default.
- W3023586999 created "2020-05-13" @default.
- W3023586999 creator A5011507806 @default.
- W3023586999 date "2020-04-28" @default.
- W3023586999 modified "2023-10-01" @default.
- W3023586999 title "Modularity of supersymmetric partition functions" @default.
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