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arxiv: 1612.09100 · v2 · pith:57TWNRR3new · submitted 2016-12-29 · 🧮 math.RT · math.QA

Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras

Tomoyuki Arakawa , Jethro van Ekeren This is my paper
classification 🧮 math.RT math.QA
keywords affinealgebrasfamilyfunctionsmodularityprincipaltracevertex
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We study modularity of the characters of a vertex (super)algebra equipped with a family of conformal structures. Along the way we introduce the notions of rationality and cofiniteness relative to such a family. We apply the results to determine modular transformations of trace functions on admissible modules over affine Kac-Moody algebras and, via BRST reduction, trace functions on minimal series representations of principal affine W-algebras.

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