Representations of the parafermion vertex operator algebras

DOI10.1016/j.aim.2017.05.016zbMath1406.17038arXiv1411.6085OpenAlexW2963149796MaRDI QIDQ2362587

Chongying Dong, Li Ren

Publication date: 10 July 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6085

zbMATH Keywords

vertex operator algebrasaffine Kac-Moody algebras

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

Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras ⋮ Modularity of logarithmic parafermion vertex algebras ⋮ Trace functions of the parafermion vertex operator algebras ⋮ On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ Rationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebras ⋮ Genus of vertex algebras and mass formula ⋮ Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\) ⋮ Automorphism group of parafermion vertex operator algebras ⋮ Representations of \(\mathbb{Z}_2\)-orbifold of the parafermion vertex operator algebra \(K(sl_{2},k)\) ⋮ Automorphism groups and uniqueness of holomorphic vertex operator algebras of central charge 24 ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Tensor Categories for Vertex Operator Superalgebra Extensions ⋮ The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation ⋮ Fusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebras ⋮ Schellekens' list and the very strange formula ⋮ The irreducible modules and fusion rules for the parafermion vertex operator algebras ⋮ Cosets of affine vertex algebras inside larger structures ⋮ Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms ⋮ Quantum dimensions and fusion rules for parafermion vertex operator algebras ⋮ Automorphism group of an orbifold vertex operator algebra associated with the Leech lattice ⋮ 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

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