Virasoro Singular Vectors via Quantum DS Reduction

Details Virasoro Singular Vectors via Quantum DS Reduction Virasoro Singular Vectors via Quantum DS Reduction

1993-08-08

arxiv.org/abs/hep-th/9308037v1

Phys.Lett. B318 (1993) 77-84

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, plain TeX, SISSA-74/93/EP

Scientific paper

10.1016/0370-2693(93)91787-N

The BRST quantisation of the Drinfeld - Sokolov 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.

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