2-permutations of lattice vertex operator algebras: higher rank

DOI10.1016/j.jalgebra.2016.12.008zbMath1395.17066arXiv1602.05602OpenAlexW2963953119MaRDI QIDQ511843

Yong-Cai Geng, Sumit K. Garg

Publication date: 22 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05602

zbMATH Keywords

vertex operator algebraspermutation orbifoldrepresentation of vertex operator algebras

Mathematics Subject Classification ID

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

Related Items

Permutation orbifolds of Virasoro vertex algebras and \(W\)-algebras, \(S\)-matrix in permutation orbifolds, Orbifolds of lattice vertex algebras, \(S_3\)-permutation orbifolds of Virasoro vertex algebras, The 3-permutation orbifold of a lattice vertex operator algebra, Quantum dimensions and fusion products for irreducibleV_Qσ-modules withσ² = 1, Permutation orbifolds of 𝔰𝔩2 vertex operator algebras, Permutation orbifolds and associative algebras

Cites Work

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• Orbifolds of lattice vertex algebras under an isometry of order two
• \(C_{2}\)-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras
• Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)
• An equivalence of two constructions of permutation-twisted modules for lattice vertex operator algebras
• Orbifolds by cyclic permutations in Gepner type superstrings and in the corresponding Calabi-Yau manifolds
• Some finiteness properties of regular vertex operator algebras
• Representations of vertex operator algebra \(V_L^+\) for rank one lattice \(L\)
• Generalized vertex algebras and relative vertex operators
• Vertex algebras associated with even lattices
• Twisted modules for vertex algebras associated with even lattices
• Regularity of rational vertex operator algebras
• Characters and modular properties of permutation orbifolds
• Twisted representations of vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Classification of irreducible modules for the vertex operator algebra \(V_{L}^{+}\): general case.
• Uniform product of \(A_{g,n}(V)\) for an orbifold model \(V\) and \(G\)-twisted Zhu algebra.
• Module categories of simple current extensions of vertex operator algebras.
• Fusion rules for the free bosonic orbifold vertex operator algebra
• On orbifold theory
• Solitons in affine and permutation orbifolds
• Rationality of the vertex operator algebra \(V_L+\) for a positive definite even lattice \(L\)
• Twisted sectors for tensor product vertex operator algebras associated to permutation groups
• Vertex operator algebras, generalized doubles and dual pairs
• The algebraic structure of relative twisted vertex operators
• \(C_2\)-cofiniteness of 2-cyclic permutation orbifold models
• \(C_2\)-cofiniteness of cyclic-orbifold models
• Braided tensor categories and extensions of vertex operator algebras
• 2-cyclic permutations of lattice vertex operator algebras
• Quantum dimensions and quantum Galois theory
• C₂-Cofiniteness of the Vertex Operator Algebra WhenLIs a Rank One Lattice
• A natural representation of the Fischer-Griess Monster with the modular function J as character
• Calculus of twisted vertex operators
• Vertex algebras, Kac-Moody algebras, and the Monster
• SYSTEMATIC APPROACH TO CYCLIC ORBIFOLDS
• Rationality, regularity, and 𝐶₂-cofiniteness
• On axiomatic approaches to vertex operator algebras and modules
• Rationality of vertex operator algebra V _L ⁺ : higher rank
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.