Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)

DOI10.1007/s00220-004-1132-5zbMath1207.17032arXivmath/0310425OpenAlexW2074974366MaRDI QIDQ852103

Toshiyuki Abe, Haisheng Li, Chongying Dong

Publication date: 27 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310425

Mathematics Subject Classification ID

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

Related Items (49)

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 ⋮ Automorphism groups of the holomorphic vertex operator algebras associated with Niemeier lattices and the \(-1\)-isometries ⋮ Quantum dimensions and fusion rules of the VOA \(V_{L_{\mathcal{C} \times \mathcal{D}}}^\tau\) ⋮ 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 \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\) ⋮ Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions ⋮ Three equivalent rationalities of vertex operator superalgebras ⋮ \(\mathbb{Z}_{2k}\)-code vertex operator algebras ⋮ 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 ⋮ A Characterization of the Vertex Operator Algebra $$V _{L_{2}}^{A_{4}}$$ ⋮ Vertex operator algebras generated by two Ising vectors ⋮ A generalized Kac-Moody algebra of rank 14 ⋮ Unitary vertex operator algebras ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Generalized twisted quantum doubles and the McKay correspondence. ⋮ Regular vertex operator subalgebras and compressions of intertwining operators ⋮ Mirror extensions of rational vertex operator algebras ⋮ A characterization of the rational vertex operator algebra \(V_{\mathbb Z{\alpha}}^+\). II ⋮ Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮ Uniqueness of VOA structure of \(3C\)-algebra and \(5A\)-algebra ⋮ Fusion rules for the vertex operator algebra \(V_{L_2}^{A_4}\) ⋮ Polynomial energy bounds for type F4 WZW-models ⋮ Orbifolds of lattice vertex algebras under an isometry of order two ⋮ The irreducible modules and fusion rules for the parafermion vertex operator algebras ⋮ Lifts of automorphisms of vertex operator algebras in simple current extensions ⋮ Cyclic orbifolds of lattice vertex operator algebras having group-like fusions ⋮ 2-permutations of lattice vertex operator algebras: higher rank ⋮ Conformal field theories with sporadic group symmetry ⋮ The automorphism group of the -orbifold of the Barnes–Wall lattice vertex operator algebra of central charge 32 ⋮ The 3-permutation orbifold of a lattice vertex operator algebra ⋮ \(6A\)-algebra and its representations ⋮ The rank-2 lattice-type vertex operator algebras \(V_L^+\) and their automorphism groups ⋮ 2A-orbifold construction and the baby-monster vertex operator superalgebra ⋮ Vertex operator algebras generated by Ising vectors of \(\sigma\)-type ⋮ Quantum dimensions and fusion rules for parafermion vertex operator algebras ⋮ 2-cyclic permutations of lattice vertex operator algebras ⋮ Representations of a fixed-point subalgebra of a class of lattice vertex operator algebras by an automorphism of order three ⋮ Simple Whittaker modules over free bosonic orbifold vertex operator algebras ⋮ Quantum dimensions and fusion products for irreducibleV_Qσ-modules withσ² = 1 ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ On fusion rules and intertwining operators for the Weyl vertex algebra ⋮ Gluing vertex algebras ⋮ On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras ⋮ On isomorphism problems for vertex operator algebras associated with even lattices

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