Construction and classification of holomorphic vertex operator algebras
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Publication:2295699
DOI10.1515/crelle-2017-0046zbMath1447.81181arXiv1507.08142OpenAlexW972039032MaRDI QIDQ2295699
Jethro van Ekeren, Sven Möller, Nils R. Scheithauer
Publication date: 14 February 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.08142
Related Items (46)
Holomorphic integer graded vertex superalgebras ⋮ Characterizing moonshine functions by vertex-operator-algebraic conditions ⋮ Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the \(-1\)-isometries ⋮ A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) ⋮ Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ A self-dual integral form of the moonshine module ⋮ A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\) ⋮ \(\mathbb{Z}_{2k}\)-code vertex operator algebras ⋮ Natural construction of ten Borcherds-Kac-Moody algebras associated with elements in \(M_{23}\) ⋮ The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\) ⋮ Genus of vertex algebras and mass formula ⋮ Examples of subfactors from conformal field theory ⋮ Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge 24 ⋮ A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra ⋮ Extra automorphisms of cyclic orbifolds of lattice vertex operator algebras ⋮ A mathematical theory of gapless edges of 2d topological orders. I ⋮ Hecke relations, cosets and the classification of 2d RCFTs ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Classification of unitary RCFTs with two primaries and central charge less than 25 ⋮ Congruence property in orbifold theory ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ Topological modularity of Monstrous Moonshine ⋮ Duality defects in \(E_8\) ⋮ Holomorphic CFTs and topological modular forms ⋮ 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 ⋮ On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras ⋮ Schellekens' list and the very strange formula ⋮ Classification of extremal vertex operator algebras with two simple modules ⋮ Some open problems in mathematical two-dimensional conformal field theory ⋮ On \(\mathbb {Z}_p\)-orbifold constructions of the Moonshine vertex operator algebra ⋮ Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras ⋮ Building vertex algebras from parts ⋮ Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice ⋮ On orbifold constructions associated with the Leech lattice vertex operator algebra ⋮ Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra ⋮ Moonshine for all finite groups ⋮ Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras ⋮ Parafermion vertex operator algebras and $W$-algebras ⋮ Galois action on VOA gauge anomalies ⋮ Vertex operator algebras with positive central charges whose dimensions of weight one spaces are 8 and 16 ⋮ Dimension formulae and generalised deep holes of the Leech lattice vertex operator algebra ⋮ Reconstruction and local extensions for twisted group doubles, and permutation orbifolds
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