Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge 24

DOI10.1007/s00220-022-04585-6zbMath1523.17056arXiv2203.15992OpenAlexW4312062068MaRDI QIDQ6038443

Hiroki Shimakura, Koichi Betsumiya, Ching Hung Lam

Publication date: 2 May 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15992

zbMATH Keywords

automorphism groupsimple current extensionholomorphic 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)

Related Items (2)

Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Classification of unitary RCFTs with two primaries and central charge less than 25

Cites Work

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• A generalized Kac-Moody algebra of rank 14
• The group of symmetries of the shorter Moonshine module
• A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16.
• Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the \(-1\)-isometries
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Vertex algebras associated with even lattices
• The Magma algebra system. I: The user language
• \(\mathbb {Z}_3\)-orbifold construction of the Moonshine vertex operator algebra and some maximal 3-local subgroups of the Monster
• Meromorphic \(c=24\) conformal field theories
• Holomorphic vertex operator algebras of small central charge
• A theory of tensor products for module categories for a vertex operator algebra. III
• Cyclic orbifolds of lattice vertex operator algebras having group-like fusions
• Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra
• Gluing vertex algebras
• Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra
• Inertia groups and uniqueness of holomorphic vertex operator algebras
• Schellekens' list and the very strange formula
• Construction and classification of holomorphic vertex operator algebras
• Schur-Weyl duality for Heisenberg cosets
• \(C_2\)-cofiniteness of cyclic-orbifold models
• Representations of the parafermion vertex operator algebras
• The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots
• On the classification of automorphic products and generalized Kac-Moody algebras
• Mirror extensions of rational vertex operator algebras
• Integrability of C2-cofinite vertex operator algebras
• The Finite Simple Groups
• Vertex algebras, Kac-Moody algebras, and the Monster
• Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice
• On orbifold constructions associated with the Leech lattice vertex operator algebra
• On axiomatic approaches to vertex operator algebras and modules
• 71 holomorphic vertex operator algebras of central charge 24
• Introduction to Lie Algebras and Representation Theory
• Construction of Holomorphic Vertex Operator Algebras of Central Charge 24 Using the Leech Lattice and Level p Lattices
• Certain extensions of vertex operator algebras of affine type
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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