Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras

DOI10.1007/s00220-021-04008-yzbMath1467.81058arXiv2007.03917OpenAlexW3134562589MaRDI QIDQ2035934

Zachary Fehily, Kazuya Kawasetsu, David Ridout

Publication date: 2 July 2021

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

Full work available at URL: https://arxiv.org/abs/2007.03917

zbMATH Keywords

Bershadsky-Polyakov algebrasminimal quantum Hamiltonian reductions of affine vertex algebrasnonintegral levelssimple relaxed highest-weight modules

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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)

Related Items (6)

Modularity of Bershadsky-Polyakov minimal models ⋮ 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 \(A\) ⋮ Subregular W-algebras of type A ⋮ Bershadsky-Polyakov vertex algebras at positive integer levels and duality ⋮ Representations of the Nappi-Witten vertex operator algebra

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