Singular vectors of $N=1$ super Virasoro algebra via Uglov symmetric functions

Published 25 Aug 2015 in math.QA, math-ph, and math.MP | (1508.06036v1)

Abstract: We give a proof of the conjecture by Belavin, Bershtein and Tarnopolsky, which claims that a bosonization of singular vectors of $N=1$ super Virasoro algebra can be identified with Uglov (Jack $\mathfrak{gl}_p$) symmetric functions with $p=2$.

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Shintarou Yanagida

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