Tensor categories of affine Lie algebras beyond admissible levels

DOI10.1007/s00208-021-02159-wOpenAlexW3131049771MaRDI QIDQ2049972

Thomas Creutzig, Jin-Wei Yang

Publication date: 27 August 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.05686

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Fusion categories, modular tensor categories, modular functors (18M20)

Related Items (15)

Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras ⋮ Direct limit completions of vertex tensor categories ⋮ On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras ⋮ Uprolling unrolled quantum groups ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Ribbon tensor structure on the full representation categories of the singlet vertex algebras ⋮ On the extensions of the left modules for a meromorphic open-string vertex algebra. I ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Tensor category \(\mathrm{KL}_k (\mathfrak{sl}_{2n})\) via minimal affine \(W\)-algebras at the non-admissible level \(k = - \frac{2n + 1}{2}\) ⋮ Mini-workshop: Recent developments in representation theory and mathematical physics. Abstracts from the mini-workshop held March 20--26, 2022 ⋮ On ribbon categories for singlet vertex algebras ⋮ Trialities of orthosymplectic \(\mathcal{W} \)-algebras ⋮ Admissible-level \(\mathfrak{sl}_3\) minimal models ⋮ Urod algebras and Translation of W-algebras ⋮ On the representation theory of the vertex algebra L−5/2(sl(4))

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