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arxiv: 1508.06036 · v1 · pith:H32D5LK5new · submitted 2015-08-25 · 🧮 math.QA · math-ph· math.MP

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

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keywords algebrafunctionssingularsupersymmetricuglovvectorsvirasoro
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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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