SISSA – 106/93/EP ON ̂ sl(3) REDUCTION, QUANTUM GAUGE TRANSFORMATIONS, AND W − ALGEBRAS SINGULAR VECTORS
نویسندگان
چکیده
The problem of describing the singular vectors of W 3 and W (2) 3 Verma modules is addressed, viewing these algebras as BRST quantized Drinfeld-Sokolov (DS) reductions of A (1) 2. Singular vectors of an A (1) 2 Verma module are mapped into W algebra singular vectors and are shown to differ from the latter by terms trivial in the BRST cohomology. These maps are realized by quantum versions of the highest weight DS gauge transformations.
منابع مشابه
Singular Vectors of W Algebras via Ds Reduction of A
The BRST quantisation of the Drinfeld-Sokolov reduction applied to the case of A (1) 2 is explored to construct in an unified and systematic way the general singular vectors in W 3 and W (2) 3 Verma modules. The construction relies on the use of proper quantum analogues of the classical DS gauge fixing transformations. Furthermore the stability groups W (η) of the highest weights of the W-Verma...
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