English

Characters and fusion rules of boundary W-algebras

Quantum Algebra 2025-09-12 v1 High Energy Physics - Theory Mathematical Physics math.MP Representation Theory

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.

Keywords

Cite

@article{arxiv.2509.09039,
  title  = {Characters and fusion rules of boundary W-algebras},
  author = {Tomoyuki Arakawa and Igor Alarcon Blatt and Jethro van Ekeren and Wenbin Yan},
  journal= {arXiv preprint arXiv:2509.09039},
  year   = {2025}
}

Comments

33 pages