Classification of modules of the intermediate series over Ramond N=2 superconformal algebras

DOI10.1063/1.2713998zbMath1137.17312arXivmath/0608508OpenAlexW3103266291MaRDI QIDQ3442283

Yucai Su, Jiayuan Fu, Qifen Jiang

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608508

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) 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)

\( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters ⋮ On non-weight representations of the \(N=2\) superconformal algebras ⋮ Left-symmetric algebra structures on the twisted Heisenberg-Virasoro algebra ⋮ Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras ⋮ Irreducible modules over \(N = 2\) superconformal algebras arising from algebraic D-modules ⋮ The Derivation Algebra and Automorphism Group of the Twisted N = 2 Superconformal Algebra ⋮ Second Leibniz cohomology group of twisted \(N = 2\) superconformal algebra ⋮ Derivation algebra and automorphism group of generalized Ramond \(N = 2\) 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

Cites Work

• Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
• Moduli spaces of curves and representation theory
• A classification of indecomposable \(sl_ 2(\mathbb{C})\)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra
• A new \(N=6\) superconformal algebra
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Classification of harish-chandra modules over the super-virasoro algebras
• Lie superalgebras

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