Decomposition of the Moonshine vertex operator algebra as Virasoro modules

DOI10.1006/jabr.1999.8206zbMath0986.17010OpenAlexW1989942068MaRDI QIDQ1977550

Ching Hung Lam, Masaaki Kitazume, Hiromichi Yamada

Publication date: 17 June 2002

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

Full work available at URL: https://semanticscholar.org/paper/e523a36614d6fb173b52ec9639dccdf44c5b9883

zbMATH Keywords

Leech latticeMoonshine vertex operator algebracode vertex operator algebraVirasoro vertex operator algebrascoset decomposition

Mathematics Subject Classification ID

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

Related Items

Decompositions of the moonshine module with respect to subVOAs associated to codes over \(\mathbb Z_{2k}\) ⋮ Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra ⋮ Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three ⋮ Decomposition of the lattice vertex operator algebra \(V_{\sqrt{2}A_l}\). ⋮ Representations of the orbifold VOAS \(L_{\widehat{\mathfrak{sl}_2}}(k,0)^K\) and the commutant VOAS \(C_{{L_{\widehat{\mathfrak{so}_m}}(1,0)}^{\otimes 3}}({L_{\widehat{\mathfrak{so}_m}}(3,0)})\) ⋮ A class of vertex operator algebras constructed from \(\mathbb{Z}_8\) codes ⋮ The varieties of semi-conformal vectors of affine vertex operator algebras ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ Moonshine vertex operator algebra as \(L(\frac{1}{2},0)\otimes L(\frac{7}{10},0) \otimes L(\frac{4}{5},0) \otimes L(1,0)\)-modules

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