Unitarity of the modular tensor categories associated to unitary vertex operator algebras. I
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Publication:1733821
DOI10.1007/s00220-019-03326-6zbMath1425.17039arXiv1711.02840OpenAlexW3105384313MaRDI QIDQ1733821
Publication date: 21 March 2019
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02840
Related Items (12)
A mathematical theory of gapless edges of 2d topological orders. I ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Energy bounds for vertex operator algebra extensions ⋮ Geometric positivity of the fusion products of unitary vertex operator algebra modules ⋮ The boundary phase transitions of the 2+1D \(\mathbb{Z}_N\) topological order via topological Wick rotation ⋮ Regular vertex operator subalgebras and compressions of intertwining operators ⋮ Polynomial energy bounds for type F4 WZW-models ⋮ Unitarity of the modular tensor categories associated to unitary vertex operator algebras. II. ⋮ Representation theory in chiral conformal field theory: from fields to observables ⋮ Bisognano-Wichmann property for rigid categorical extensions and non-local extensions of conformal nets ⋮ Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models ⋮ Energy bounds condition for intertwining operators of types 𝐵, 𝐶, and 𝐺₂ unitary affine vertex operator algebras
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