Application of a ℤ₃-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices

DOI10.1090/tran/6382zbMath1369.17025arXiv1302.4826OpenAlexW1555679221MaRDI QIDQ2787951

Daisuke Sagaki, Hiroki Shimakura

Publication date: 7 March 2016

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

Full work available at URL: https://arxiv.org/abs/1302.4826

zbMATH Keywords

holomorphic vertex operator algebras of central charge 24

Mathematics Subject Classification ID

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

Related Items (16)

Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\) ⋮ A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\) ⋮ A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24 ⋮ Lattices, vertex algebras, and modular categories ⋮ Inertia groups and uniqueness of holomorphic vertex operator algebras ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮ Construction and classification of holomorphic vertex operator algebras ⋮ On orbifold constructions associated with the Leech lattice vertex operator algebra ⋮ Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras ⋮ A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\) ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮ Automorphisms of Niemeier lattices for Miyamoto's \(\mathbb Z_3\)-orbifold construction ⋮ Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms

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