Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models

DOI10.1016/j.nuclphysb.2018.10.022zbMath1405.81050arXiv1806.09146OpenAlexW2810660179MaRDI QIDQ1710164

Thomas Creutzig, David Ridout, Shashank Kanade, Tianshu Liu

Publication date: 15 January 2019

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09146

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Symmetry breaking in quantum theory (81R40) Étale and other Grothendieck topologies and (co)homologies (14F20) Multilinear algebra, tensor calculus (15A69)

Related Items (17)

A realisation of the Bershadsky-Polyakov algebras and their relaxed modules ⋮ Direct limit completions of vertex tensor categories ⋮ \(A_{2l}^{(2)}\) at level \(-l-\frac{1}{2}\) ⋮ Relaxed highest-weight modules. I: Rank 1 cases ⋮ A Kazhdan-Lusztig correspondence for \(L_{-\frac{3}{2}}(\mathfrak{sl}_3)\) ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ A duality between vertex superalgebras \(L_{-3/2}(\mathfrak{osp}(1|2))\) and \(\mathcal{V}^{(2)}\) and generalizations to logarithmic vertex algebras ⋮ Tensor categories arising from the Virasoro algebra ⋮ Staggered modules of \(N = 2\) superconformal minimal models ⋮ Fusion categories for affine vertex algebras at admissible levels ⋮ Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras ⋮ Relaxed highest-weight modules. III: Character formulae ⋮ Unitary and non-unitary \(N=2\) minimal models ⋮ Gluing vertex algebras ⋮ Braided tensor categories related to \(\mathcal{B}_p\) vertex algebras ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras

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