NSR singular vectors from Uglov polynomials

Abstract

It was conjectured in arXiv:1211.2788 that bosonization of singular vectors (in Neveu-Schwarz sector) of N=1 super analog of the Virasoro algebra can be identified with Uglov symmetric function. In the paper we prove this conjecture. We also extend this result to the Ramond sector of N=1 super-Virasoro algebra.

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