On the tensor structure of modules for compact orbifold vertex operator algebras
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Publication:2197656
DOI10.1007/s00209-019-02445-zzbMath1453.17017arXiv1810.00747OpenAlexW2892459649WikidataQ126530124 ScholiaQ126530124MaRDI QIDQ2197656
Publication date: 1 September 2020
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00747
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) Applications of group representations to physics and other areas of science (20C35) Monoidal categories, symmetric monoidal categories (18M05)
Related Items (16)
On semisimplicity of module categories for finite non-zero index vertex operator subalgebras ⋮ Representation theory of vertex operator algebras and orbifold conformal field theory ⋮ Direct limit completions of vertex tensor categories ⋮ Uprolling unrolled quantum groups ⋮ The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\) ⋮ An \(\mathfrak{sl}_2\)-type tensor category for the Virasoro algebra at central charge 25 and applications ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Tensor category \(\mathrm{KL}_k (\mathfrak{sl}_{2n})\) via minimal affine \(W\)-algebras at the non-admissible level \(k = - \frac{2n + 1}{2}\) ⋮ Logarithmic W-algebras and Argyres-Douglas theories at higher rank ⋮ Tensor categories arising from the Virasoro algebra ⋮ Classification of extremal vertex operator algebras with two simple modules ⋮ On ribbon categories for singlet vertex algebras ⋮ Twisted modules and \(G\)-equivariantization in logarithmic conformal field theory ⋮ Tensor categories of affine Lie algebras beyond admissible levels ⋮ Gluing vertex algebras ⋮ Trialities of orthosymplectic \(\mathcal{W} \)-algebras
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