Conformal embeddings in affine vertex superalgebras

DOI10.1016/j.aim.2019.106918zbMath1457.17021arXiv1903.03794OpenAlexW2990356349WikidataQ126663274 ScholiaQ126663274MaRDI QIDQ2281335

Paolo Papi, Pierluigi Möseneder Frajria, Dražen Adamović, Ozren Perše

Publication date: 19 December 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03794

zbMATH Keywords

vertex operator algebracentral chargeconformal embeddingaffine Lie superalgebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (9)

On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras ⋮ Rationality of affine vertex operator superalgebras with rational conformal weights ⋮ A duality between vertex superalgebras \(L_{-3/2}(\mathfrak{osp}(1|2))\) and \(\mathcal{V}^{(2)}\) and generalizations to logarithmic vertex algebras ⋮ Bershadsky-Polyakov vertex algebras at positive integer levels and duality ⋮ Defining relations for minimal unitary quantum affine W-algebras ⋮ On some vertex algebras related to \(V_{-1}(\mathfrak{sl}(n))\) and their characters ⋮ Tensor categories of affine Lie algebras beyond admissible levels ⋮ On irreducibility of modules of Whittaker type for cyclic orbifold vertex algebras ⋮ On the representation theory of the vertex algebra L−5/2(sl(4))

Cites Work

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• Quantum reduction and representation theory of superconformal algebras
• Finite vs. infinite decompositions in conformal embeddings
• Affine Lie algebras on admissible half-integer levels
• Classical affine algebras
• Modular and conformal invariance constraints in representation theory of affine algebras
• Generalized vertex algebras and relative vertex operators
• On the classification of non-equal rank affine conformal embeddings and applications
• Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results
• Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
• Some general results on conformal embeddings of affine vertex operator algebras
• On some vertex algebras related to \(V_{-1}(\mathfrak{sl}(n))\) and their characters
• Vertex algebras for S-duality
• Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions
• Conformal Embeddings and Simple Current Extensions
• Explicit construction of the exceptional superalgebras F(4) and G(3)
• Bosonic construction of vertex operator para-algebras from symplectic affine Kac-Moody algebras
• Field Algebras
• Kostant Pairs of Lie Type and Conformal Embeddings
• Introduction to Lie Algebras and Representation Theory
• FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS
• Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function

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