Exact Schur index in closed form
Yiwen Pan, Wolfger Peelaers
Abstract
The superconformal index encodes important information about the protected spectrum of a superconformal theory (SCFT), with the special case of the Schur Index counting objects with enhanced supersymmetry. The authors provide for the first time an explicit formula for this index for a large class of important SCFTs by integrating numerous (almost) elliptical integrals. This allows them to provide several applications like the computation of the index for non-Lagrangian theories through dualities, explicit properties of Vertex Operator Algebras, etc.
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