On the structure of Verma module over Virasoro and Neveu-Schwarz algebras

Details On the structure of Verma module over Virasoro and Neveu-Schwarz algebras On the structure of Verma module over Virasoro and Neveu-Schwarz algebras

1995-11-06

arxiv.org/abs/hep-th/9511032v1

Commun.Math.Phys. 186 (1997) 531-562

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, LaTeX

Scientific paper

10.1007/s002200050119

In the paper we present a different proof of the theorem of B. L. Feigin and D. B. Fuchs about the structure of Verma modules over Virasoro algebra. We state some new results about the structure of Verma modules over Neveu-Schwarz. The proof has thwo advantages: first, it is simplier in the most interesting cases (for example in the so called minimal models), second, it can be generalized for Neveu-Schwarz algebra for some class of Verma modules.

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