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On lisse non-admissible minimal and principal W-algebras

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arxiv 2408.04584 v1 pith:VVXHDD57 submitted 2024-08-08 math.RT math.QA

Tomoyuki Arakawa , Thomas Creutzig , Kazuya Kawasetsu This is my paper · ORCID
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keywords non-admissiblew-algebrasgeneralizationminimalprincipalapplyauthordiscuss
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We discuss a possible generalization of a result by the third-named author on the rationality of non-admissible minimal W-algebras. We then apply this generalization to finding rational non-admissible principal W-algebras.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Minimal W-algebras of $\mathfrak{so}_N$ at level minus one

    math.RT 2025-06 conditional novelty 8.0 of 10

    For N≥7, the minimal W-algebra of so_N at level -1 equals the Z2-even subalgebra of L_{(N-6)/2}(osp_{1|2})⊗F_{N-4}, yielding strong rationality for even N.

  2. W-algebras as conformal extensions of affine VOAs

    math.QA 2025-08 conditional novelty 7.0 of 10

    A sufficient condition is proven for W-algebras to be conformal extensions of affine vertex algebras, yielding many new collapsing levels and explicit isomorphisms.

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