Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras
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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.
Date issued
2019-07Department
Massachusetts Institute of Technology. Department of MathematicsPublisher
Springer Berlin Heidelberg