Quantum dimensions and fusion rules for parafermion vertex operator algebras

DOI10.1090/proc/12838zbMath1397.17032arXiv1411.7429OpenAlexW1824530973MaRDI QIDQ2790257

Qing Wang, Chongying Dong

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7429

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (19)

Representations of the parafermion vertex operator algebras ⋮ Sigma involutions associated with parafermion vertex operator algebra K(sl2,k) ⋮ Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ Trace functions of the parafermion vertex operator algebras ⋮ On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ \(\mathbb{Z}_{2k}\)-code vertex operator algebras ⋮ On extensions of two families of Tambara–Yamagami categories ⋮ Representations of \(\mathbb{Z}_2\)-orbifold of the parafermion vertex operator algebra \(K(sl_{2},k)\) ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\) ⋮ Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮ Representations and fusion rules for the orbifold vertex operator algebras Lsl2̂(k,0)Zp ⋮ The irreducible modules and fusion rules for the parafermion vertex operator algebras ⋮ Non-trivially graded self-dual fusion categories of rank 4 ⋮ \(\mathbb{Z}_k\)-code vertex operator algebras ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ The structure of parafermion vertex operator algebras \(K(osp(1|2n),k)\) ⋮ Parafermion vertex operator algebras and $W$-algebras ⋮ Extensions of a near-group category of type \((\mathbb{Z}_2;1)\)

Cites Work

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