$\boldsymbol{\mathcal{W}}$-algebras with Non-admissible Levels and the Deligne Exceptional Series

DOI10.1093/imrn/rnw240zbMath1458.17017arXiv1505.06985OpenAlexW2566431062MaRDI QIDQ4619312

Kazuya Kawasetsu

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06985

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (13)

Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Lie algebra and Dynkin index ⋮ On intermediate Lie algebra \(E_{7+1/2}\) ⋮ Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results ⋮ JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS ⋮ Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra ⋮ Finite vs. infinite decompositions in conformal embeddings ⋮ Universal two-parameter 𝒲_∞-algebra and vertex algebras of type 𝒲(2, 3, …, N) ⋮ Tensor categories of affine Lie algebras beyond admissible levels ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras ⋮ Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)

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