Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
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220_2019_3504_ReferencePDF.pdf
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Author(s)
Arakawa, Tomoyuki
van Ekeren, Jethro
Date Issued
July 2019
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1007/s00220-019-03504-6
