Weight representations of admissible affine vertex algebras

DOI10.1007/s00220-017-2872-3zbMath1406.17037arXiv1605.07580OpenAlexW3106357005MaRDI QIDQ2362801

Tomoyuki Arakawa, Luis Enrique Ramirez, Vyacheslav M. Futorny

Publication date: 14 July 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07580

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)

An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula ⋮ A realisation of the Bershadsky-Polyakov algebras and their relaxed modules ⋮ Infrared computations of defect Schur indices ⋮ Positive energy representations of affine vertex algebras ⋮ Relaxed highest-weight modules. I: Rank 1 cases ⋮ Admissible representations of simple affine vertex algebras ⋮ A Kazhdan-Lusztig correspondence for \(L_{-\frac{3}{2}}(\mathfrak{sl}_3)\) ⋮ Rationality of affine vertex operator superalgebras with rational conformal weights ⋮ Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras ⋮ Relaxed category and vanishing of cohomology associated with quantum reduction ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ Representations of the Nappi-Witten vertex operator algebra ⋮ Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras ⋮ Relaxed highest-weight modules. III: Character formulae ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ Representations of Lie algebras ⋮ Admissible-level \(\mathfrak{sl}_3\) minimal models ⋮ Relaxed highest-weight modules II: Classifications for affine vertex algebras

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