A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra

DOI10.1017/fms.2023.86arXiv2205.04681OpenAlexW4387109296MaRDI QIDQ6047014

Masahiko Miyamoto, Ching Hung Lam

Publication date: 6 October 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04681

zbMATH Keywords

generalized deep holesLeech lattice vertex operator algebra

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

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• Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
• On the constructions of holomorphic vertex operator algebras of central charge 24
• The structure of parafermion vertex operator algebras: general case
• A modular invariance property of multivariable trace functions for regular vertex operator algebras
• Vertex algebras associated with even lattices
• Meromorphic \(c=24\) conformal field theories
• Twisted sectors for tensor product vertex operator algebras associated to permutation groups
• Holomorphic vertex operator algebras of small central charge
• Reflective integral lattices
• The algebraic structure of relative twisted vertex operators
• Conformal field theories, representations and lattice constructions
• Cyclic orbifolds of lattice vertex operator algebras having group-like fusions
• Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra
• Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra
• On semisimplicity of module categories for finite non-zero index vertex operator subalgebras
• Inertia groups and uniqueness of holomorphic vertex operator algebras
• Schellekens' list and the very strange formula
• On some sublattices of the Leech lattice
• Construction and classification of holomorphic vertex operator algebras
• A holomorphic vertex operator algebra of central charge 24 with the weight one Lie algebra \(F_{4,6}A_{2,2}\)
• \(C_2\)-cofiniteness of cyclic-orbifold models
• A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\)
• Definite quadratische Formen der Dimension 24 und Diskriminante 1
• Application of a ℤ₃-orbifold construction to the lattice vertex operator algebras associated to Niemeier lattices
• A ℤ3-Orbifold Theory of Lattice Vertex Operator Algebra and ℤ3-Orbifold Constructions
• Quadratic spaces and holomorphic framed vertex operator algebras of central charge 24
• TWISTED MODULES OVER LATTICE VERTEX ALGEBRAS
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24
• Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras
• On orbifold constructions associated with the Leech lattice vertex operator algebra
• Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras
• Classification of holomorphic framed vertex operator algebras of central charge 24
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
• Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras

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