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arXiv · 1612.09100

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

Tomoyuki Arakawa·Jethro van Ekeren
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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.

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Tomoyuki Arakawa, Jethro van Ekeren. 2016-12-29. Modularity of Relatively Rational Vertex Algebras and Fusion Rules of Principal Affine W-Algebras. https://arxiv.org/abs/1612.09100

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