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On the Structure of Verma Modules over Virasoro and Neveu-Schwarz Algebras

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Abstract:

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 two advantages: First, it is simpler 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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  1. Department of Mathematics, MIT, Cambridge, MA 02139, USA, , , , , , US

    A. Astashkevich

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  1. A. Astashkevich
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Received: 15 December 1995 / Accepted: 4 March 1996

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Astashkevich, A. On the Structure of Verma Modules over Virasoro and Neveu-Schwarz Algebras . Comm Math Phys 186, 531–562 (1997). https://doi.org/10.1007/s002200050119

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  • DOI: https://doi.org/10.1007/s002200050119

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