Vertex operator algebras associated to the Virasoro algebra over an arbitrary field

DOI10.1090/tran/6529zbMath1397.17031arXiv1308.0087OpenAlexW2962806345MaRDI QIDQ2790653

Li Ren, Chongying Dong

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/1308.0087

Mathematics Subject Classification ID

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

Related Items (16)

Modular \(A_{n}(V)\) theory ⋮ Smash product construction of modular lattice vertex algebras ⋮ Modular Virasoro vertex algebras and affine vertex algebras ⋮ A self-dual integral form of the moonshine module ⋮ Vertex superalgebras over fields of prime characteristic ⋮ Representations of vertex operator superalgebras over an arbitrary field ⋮ Heisenberg VOAs over fields of prime characteristic and their representations ⋮ Endomorphism property of vertex operator algebras over arbitrary fields ⋮ \(p\)-adic vertex operator algebras ⋮ Some conjectures on modular representations of affine \(\mathfrak{sl}_2\) and Virasoro algebra ⋮ Representations of vertex operator algebras over an arbitrary field ⋮ Vertex rings and their Pierce bundles ⋮ Symmetric invariant bilinear forms on modular vertex algebras ⋮ Lattice structure of modular vertex algebras ⋮ Twisted modules for affine vertex algebras over fields of prime characteristic ⋮ Integral forms for tensor powers of the Virasoro vertex operator algebra \(L(\frac{1}{2}, 0)\) and their modules

Cites Work

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• Ising vectors and automorphism groups of commutant subalgebras related to root systems
• Bimodules associated to vertex operator algebras
• Unitary representations of the Virasoro and super-Virasoro algebras
• Details of the non-unitary proof for highest weight representations of the Virasoro algebra
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Representation theory of code vertex operator algebra
• Framed vertex operator algebras, codes and the moonshine module
• Vertex operator algebras and associative algebras
• Generalized vertex algebras and relative vertex operators
• Regularity of rational vertex operator algebras
• Twisted representations of vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Covariant differential equations and singular vectors in Virasoro representations
• A new construction of the moonshine vertex operator algebra over the real number field
• Binary codes and vertex operator (super)algebras
• Local systems of vertex operators, vertex superalgebras and modules
• Modular moonshine. II
• Integral forms in vertex operator algebras which are invariant under finite groups
• Modular moonshine. III.
• The fake monster formal group
• Representations of vertex operator algebras over an arbitrary field
• Uniqueness results for the moonshine vertex operator algebra
• Vertex operator algebras, extended $E_8$ diagram, and McKay's observation on the Monster simple group
• Vertex algebras, Kac-Moody algebras, and the Monster
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules
• A Characterization of the Moonshine Vertex Operator Algebra by Means of Virasoro Frames
• Ising Vectors in the Vertex Operator Algebra VΛ+ Associated with the Leech Lattice Λ
• The regular representation, Zhu's \(A(V)\)-theory, and induced modules

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