Asymptotics of Elliptic Genera of Symmetric Products and Dyonic Black Hole Degeneracy

Abstract

We calculate asymptotic expansions of elliptic genera for a supersymmetric sigma model on the N - fold symmetric product SNM of a Kahler manifold M and for N = 2 superconformal field theory. Asymptotic expansions for the degeneracy of dyonic black hole spectrum are also derived.

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