English

Virasoro Singular Vectors via Quantum DS Reduction

High Energy Physics - Theory 2009-10-22 v1

Abstract

The BRST quantisation of the Drinfeld - Sokolov reduction is exploited to recover all singular vectors of the Virasoro algebra Verma modules from the corresponding A1(1)A^{(1)}_1\, ones. The two types of singular vectors are shown to be identical modulo terms trivial in the QBRSTQ_{BRST} cohomology. The main tool is a quantum version of the DS gauge transformation.

Cite

@article{arxiv.hep-th/9308037,
  title  = {Virasoro Singular Vectors via Quantum DS Reduction},
  author = {A. Ch. Ganchev and V. B. Petkova},
  journal= {arXiv preprint arXiv:hep-th/9308037},
  year   = {2009}
}

Comments

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