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

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 trac...

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Bibliographic Details
Main Authors: Arakawa, Tomoyuki, van Ekeren, Jethro
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2021
Online Access:https://hdl.handle.net/1721.1/131552