Representation theory of \(N=2\) super Virasoro algebra: twisted sector

DOI10.1016/j.jfa.2003.07.003zbMath1155.17309OpenAlexW1986292354MaRDI QIDQ1882968

Yoshiyuki Koga, Kenji Iohara

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.07.003

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) 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 (10)

A family of simple non-weight modules over the twisted \(N = 2\) superconformal algebra ⋮ Derivation algebra and automorphism group of generalized topological \(N=2\) superconformal algebra ⋮ On non-weight representations of the \(N=2\) superconformal algebras ⋮ Unitarizable highest weight modules over the twisted sector of the \(N=2\) super Virasoro algebra ⋮ Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras ⋮ The Derivation Algebra and Automorphism Group of the Twisted N = 2 Superconformal Algebra ⋮ On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras ⋮ Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal 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 ⋮ Structures of generalized loop super-Virasoro algebras

Cites Work

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• Fock space representations of the Virasoro algebra. Intertwining operators
• Projective modules over graded Lie algebras. I
• Structure of some categories of representations of infinite-dimensional Lie algebras
• The structure of Verma modules over the \(N=2\) superconformal algebra
• Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
• Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
• A Tauberian theorem for partitions

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