Fusion rules for the charge conjugation orbifold

DOI10.1006/jabr.2001.8838zbMath1012.17018arXivmath/0006101OpenAlexW2079247828MaRDI QIDQ5945128

Toshiyuki Abe

Publication date: 12 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0006101

zbMATH Keywords

fusion ruleslattice vertex operator algebraorbifold vertex operator algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (22)

Fusion rules among \(\theta \)-twisted modules for lattice vertex operator algebras \(V_L\) ⋮ The automorphism groups of the vertex operator algebras \(V^+_L\): general case ⋮ Decompositions of the moonshine module with respect to subVOAs associated to codes over \(\mathbb Z_{2k}\) ⋮ Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\) ⋮ The automorphism group of the vertex operator algebra \(V_L^+\) for an even lattice \(L\) without roots ⋮ A generalization of intertwining operators for vertex operator algebras ⋮ The irreducible weak modules for the fixed point subalgebra of the vertex algebra associated to a non-degenerate even lattice by an automorphism of order 2 (Part 1) ⋮ Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three ⋮ Modular quasi-Hopf algebras and groups with one involution ⋮ Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮ Fusion rules for the vertex operator algebra \(V_{L_2}^{A_4}\) ⋮ Orbifolds of lattice vertex algebras under an isometry of order two ⋮ Lifts of automorphisms of vertex operator algebras in simple current extensions ⋮ Conformal field theories with sporadic group symmetry ⋮ A class of vertex operator algebras constructed from \(\mathbb{Z}_8\) codes ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ Quantum dimensions and fusion products for irreducibleV_Qσ-modules withσ² = 1 ⋮ On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras ⋮ On isomorphism problems for vertex operator algebras associated with even lattices ⋮ Moonshine vertex operator algebra as \(L(\frac{1}{2},0)\otimes L(\frac{7}{10},0) \otimes L(\frac{4}{5},0) \otimes L(1,0)\)-modules

Cites Work

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• On quantum Galois theory
• The operator algebra of orbifold models
• Vertex operator algebras associated to representations of affine and Virasoro algebras
• Rank one lattice type vertex operator algebras and their automorphism groups
• Classification of irreducible modules for the vertex operator algebra \(M(1)^+\)
• 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
• Twisted representations of vertex operator algebras
• Fusion rules for the free bosonic orbifold vertex operator algebra
• A theory of tensor products for module categories for a vertex operator algebra. II
• Modular invariance of characters of vertex operator algebras
• On axiomatic approaches to vertex operator algebras and modules

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