Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras
From MaRDI portal
Publication:5241475
DOI10.1090/tran/7887zbMath1455.17027arXiv1606.08979OpenAlexW2963479062MaRDI QIDQ5241475
Ching Hung Lam, Hiroki Shimakura
Publication date: 31 October 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.08979
Related Items (9)
A short introduction to the algebra, geometry, number theory and physics of moonshine ⋮ A lattice theoretical interpretation of generalized deep holes of the Leech lattice vertex operator algebra ⋮ ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24 ⋮ Inertia groups and uniqueness of holomorphic vertex operator algebras ⋮ Schellekens' list and the very strange formula ⋮ Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮ On orbifold constructions associated with the Leech lattice vertex operator algebra ⋮ 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orbifold construction of holomorphic vertex operator algebras associated to inner automorphisms
- On the constructions of holomorphic vertex operator algebras of central charge 24
- A modular invariance property of multivariable trace functions for regular vertex operator algebras
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Symmetric invariant bilinear forms on vertex operator algebras
- Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.
- On orbifold theory
- Meromorphic \(c=24\) conformal field theories
- Holomorphic vertex operator algebras of small central charge
- Conformal field theories, representations and lattice constructions
- Inertia groups and uniqueness of holomorphic vertex operator algebras
- Construction and classification of holomorphic vertex operator algebras
- \(C_2\)-cofiniteness of cyclic-orbifold models
- Braided tensor categories and extensions of vertex operator algebras
- A holomorphic vertex operator algebra of central charge 24 whose weight one Lie algebra has type \({A_{6,7}}\)
- Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras
- 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
- Integrability of C2-cofinite vertex operator 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
- Rationality, regularity, and 𝐶₂-cofiniteness
- Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras
- On orbifold constructions associated with the Leech lattice vertex operator algebra
- Classification of holomorphic framed vertex operator algebras of central charge 24
- A Cyclic Orbifold Theory for Holomorphic Vertex Operator Algebras and Applications
- On axiomatic approaches to vertex operator algebras and modules
- A Characterization of the Moonshine Vertex Operator Algebra by Means of Virasoro Frames
- Introduction to Lie Algebras and Representation Theory
- Orbifold constructions and the classification of self-dual \(c=24\) conformal field theories
- Modular-invariance of trace functions in orbifold theory and generalized Moonshine.
This page was built for publication: Reverse orbifold construction and uniqueness of holomorphic vertex operator algebras