On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras

DOI10.1007/978-4-431-54270-4_29zbMath1269.81171OpenAlexW2276547292MaRDI QIDQ2840434

Katrina Barron

Publication date: 18 July 2013

Published in: Lie Theory and Its Applications in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-54270-4_29

Mathematics Subject Classification ID

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 (4)

Irreducible modules over the mirror Heisenberg–Virasoro algebra ⋮ Tensor product weight modules for the mirror Heisenberg-Virasoro algebra ⋮ Non-weight modules over the mirror Heisenberg-Virasoro algebra ⋮ On the Correspondence Between Mirror-Twisted Sectors for N = 2 Supersymmetric Vertex Operator Superalgebras of the Form V ⊗ V and N = 1 Ramond Sectors of V

Cites Work

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• Determinant formulae and unitarity for the \(N=2\) superconformal algebras in two dimensions or exact results on string compactification
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• The structure of Verma modules over the \(N=2\) superconformal algebra
• Twisted representations of vertex operator algebras
• Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra
• Twisted sectors for tensor product vertex operator algebras associated to permutation groups
• Representation theory of \(N=2\) super Virasoro algebra: twisted sector
• Singular dimensions of the \(N=2\) superconformal algebras. I
• SINGULAR VECTORS OF THE N=2 SUPERCONFORMAL ALGEBRA
• Classification of modules of the intermediate series over Ramond N=2 superconformal algebras
• THE MODULI SPACE OF N = 2 SUPER-RIEMANN SPHERES WITH TUBES
• Axiomatic Aspects ofN = 2 Vertex Superalgebras with Odd Formal Variables
• The Notion of N=1 Supergeometric Vertex Operator Superalgebra and the Isomorphism Theorem
• Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
• CONSTRUCTION FORMULAE FOR SINGULAR VECTORS OF THE TOPOLOGICAL AND OF THE RAMOND N = 2 SUPERCONFORMAL ALGEBRAS
• Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra
• Semi-infinite realization of unitary representations of the \(N=2\) algebra and related constructions
• Singular dimensions of the \(N=2\) superconformal algebras. II: The twisted \(N=2\) algebra
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