Exact Schur index in closed form

作者：Yiwen Pan, Wolfger Peelaers · 发表于：Physical review. D/Physical review. D. · 年份：2022 · DOI：10.1103/physrevd.106.045017 · 被引用次数：31 · 研究领域：Algebraic structures and combinatorial models、Black Holes and Theoretical Physics、Quantum Chromodynamics and Particle Interactions

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.