Virasoro Singular Vectors via Quantum DS Reduction
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 A(1)1\, ones. The two types of singular vectors are shown to be identical modulo terms trivial in the QBRST cohomology. The main tool is a quantum version of the DS gauge transformation.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.