A level-rank duality for parafermion vertex operator algebras of type A

DOI10.1090/S0002-9939-2014-12167-8zbMath1312.17022MaRDI QIDQ2930624

Ching Hung Lam

Publication date: 19 November 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (9)

Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ Representations of \(\mathbb{Z}_2\)-orbifold of the parafermion vertex operator algebra \(K(sl_{2},k)\) ⋮ Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\) ⋮ Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type ⋮ Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮ Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\) ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras ⋮ The structure of parafermion vertex operator algebras \(K(osp(1|2n),k)\) ⋮ Parafermion vertex operator algebras and $W$-algebras

Cites Work

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• Level-rank duality of WZW models in conformal field theory
• Vertex operator algebras associated to representations of affine and Virasoro algebras
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