The structure of parafermion vertex operator algebras \(K(osp(1|2n),k)\)

DOI10.1016/J.JALGEBRA.2021.12.016zbMath1496.17020arXiv2108.07486OpenAlexW3193397783MaRDI QIDQ2068157

Qing Wang, Cuipo (Cuibo) Jiang

Publication date: 19 January 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07486

zbMATH Keywords

affine Lie superalgebrasparafermion vertex operator algebras

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (3)

Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\) ⋮ A duality between vertex superalgebras \(L_{-3/2}(\mathfrak{osp}(1|2))\) and \(\mathcal{V}^{(2)}\) and generalizations to logarithmic vertex algebras ⋮ Associative algebras of \(\mathbb{Z}\)-graded vertex operator superalgebras and their applications

Cites Work

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• Quantum reduction for affine superalgebras
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• A level-rank duality for parafermion vertex operator algebras of type A
• Parafermion vertex operator algebras and $W$-algebras
• The irreducible modules and fusion rules for the parafermion vertex operator algebras
• Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms
• Lie superalgebras

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