Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.

DOI10.5802/aif.1992zbMath1065.17013OpenAlexW2390122239MaRDI QIDQ1417736

Yoshiyuki Koga, Kenji Iohara

Publication date: 6 January 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_6_1755_0

zbMATH Keywords

Jantzen filtrationRamond algebraNeveu-Schwarz algebraFock modulesFelder-type complex

Mathematics Subject Classification ID

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

Related Items (19)

Representation theory of \(N=2\) super Virasoro algebra: twisted sector ⋮ Tensor Product Weight Representations of the Neveu–Schwarz Algebra ⋮ Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ The \(N = 1\) triplet vertex operator superalgebras ⋮ The structure of pre-Verma modules over the \(N = 1\) Ramond algebra ⋮ The super-Virasoro singular vectors and Jack superpolynomials relationship revisited ⋮ Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules. ⋮ Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras ⋮ Irreducible modules for super-Virasoro algebras from algebraic D-modules ⋮ Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra ⋮ Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra ⋮ Note on spin modules associated to Z-graded Lie superalgebras ⋮ Simple restricted modules for Neveu-Schwarz algebra ⋮ Superconformal field theory and Jack superpolynomials ⋮ Whittaker modules for the super-Virasoro algebras ⋮ 2-Local superderivations on the super Virasoro algebra and the super W(2,2) 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 ⋮ Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector ⋮ Superconformal minimal models and admissible Jack polynomials

Cites Work

• Fock space representations of the Virasoro algebra. Intertwining operators
• Moduln mit einem höchsten Gewicht
• Fock space resolutions of the Virasoro highest weight modules with \(c\leqslant 1\)
• Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
• Résolutions de type Bechi–Rouet–Stora–Tyutin pour les super-algèbres de Virasoro N=1
• Unnamed Item
• Unnamed Item

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