The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\)

DOI10.1016/j.aim.2016.06.010zbMath1346.17013OpenAlexW2467048838MaRDI QIDQ305713

Cuipo (Cuibo) Jiang, Zhengyuan Lin

Publication date: 30 August 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.06.010

zbMATH Keywords

vertex operator algebrarationalitycommutant of vertex operator algebra

Mathematics Subject Classification ID

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

Related Items

Vertex Operator Algebras Associated with $$\mathbf{Z}/k\mathbf{Z}$$ Z / k Z -Codes ⋮ Representations of the parafermion vertex operator algebras ⋮ Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras ⋮ Representations of \(\mathbb{Z}_2\)-orbifold of the parafermion vertex operator algebra \(K(sl_{2},k)\) ⋮ Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras ⋮ Trace functions and fusion rules of diagonal coset vertex operator algebras ⋮ The varieties of Heisenberg vertex operator algebras ⋮ Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type ⋮ Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\) ⋮ Cosets of affine vertex algebras inside larger structures ⋮ Vertex operator algebras generated by Ising vectors of \(\sigma\)-type ⋮ The varieties of semi-conformal vectors of affine vertex operator algebras ⋮ Permutation orbifolds of 𝔰𝔩2 vertex operator algebras

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