The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\)

DOI10.1007/s00220-021-03950-1zbMath1461.81107arXiv2001.08048OpenAlexW3128400142MaRDI QIDQ2662983

Naoki Genra, Dražen Adamović, Thomas Creutzig, Jin-Wei Yang

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/2001.08048

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items

Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras, On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2, Direct limit completions of vertex tensor categories, Uprolling unrolled quantum groups, 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 \(A\), Ribbon tensor structure on the full representation categories of the singlet vertex algebras, Tensor Categories for Vertex Operator Superalgebra Extensions, Logarithmic vertex algebras related to sp(4), Subregular W-algebras of type A, 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, On ribbon categories for singlet vertex algebras, Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras, Tensor categories of affine Lie algebras beyond admissible levels, A slow review of the AGT correspondence, On the representation theory of the vertex algebra L−5/2(sl(4))

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