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arxiv: hep-th/0408074 · v2 · pith:TF2XTXLBnew · submitted 2004-08-10 · ✦ hep-th

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

classification ✦ hep-th
keywords centralchargesingularvectorsalgebravirasorocalculatediagram
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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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