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arXiv · 2509.09039

Characters and fusion rules of boundary W-algebras

Tomoyuki Arakawa·Igor Alarcon Blatt·Jethro van Ekeren·Wenbin Yan
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Abstract

We study the q-characters and modular data of exceptional W-algebras and give several examples and applications. We establish equality of q-characters and modular data between certain boundary W-algebras, leading in particular to a largely complete determination of fusion rules of exceptional W-algebras in type A.

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Tomoyuki Arakawa, Igor Alarcon Blatt, Jethro van Ekeren, Wenbin Yan. 2025-09-10. Characters and fusion rules of boundary W-algebras. https://arxiv.org/abs/2509.09039

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