Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1

Details Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1 Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1

2004-08-10

arxiv.org/abs/hep-th/0408074v2

Chaos Solitons Fractals 25 (2005) 147-151

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, revised version

Scientific paper

We calculate explicitly the singular vectors of the Virasoro algebra with the
central charge $c\leq 1$. As a result, we have an infinite sequence of the
singular vectors for each Fock space with given central charge and highest
weight, and all its elements can be written in terms of the Jack symmetric
functions with rectangular Young diagram.

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