Virasoro singular vectors via quantum DS reduction

The BRST quantisation of the Drinfeld-Sokolov (DS) reduction is exploited to recover all singular vectors of the Virasoro algebra Verma modules from the corresponding A 1 (1) ones. The two types of singular vectors are shown to be identical modulo terms trivial in the Q BRST cohomology. The main too...

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Bibliographic Details
Published in:Physics letters. B 1993-11, Vol.318 (1), p.77-84
Main Authors: Ganchev, A.Ch, Petkova, V.B.
Format: Article
Language:English
Subjects:
Algebraic methods
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Summary:The BRST quantisation of the Drinfeld-Sokolov (DS) reduction is exploited to recover all singular vectors of the Virasoro algebra Verma modules from the corresponding A 1 (1) ones. The two types of singular vectors are shown to be identical modulo terms trivial in the Q BRST cohomology. The main tool is a quantum version of the DS gauge transformation.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(93)91787-N