Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
Author(s)Arakawa, Tomoyuki; van Ekeren, Jethro
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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.
Springer Berlin Heidelberg