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

Reiho Sakamoto
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Abstract

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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Reiho Sakamoto. 2004-09-18. Explicit formula for singular vectors of the Virasoro algebra with central charge less than 1. https://doi.org/10.1016/j.chaos.2004.09.073

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