NSR singular vectors from Uglov polynomials

Abstract

It was conjectured in [BBT13] that bosonization of singular vectors (in Neveu-Schwarz sector) of N = 1 super analogue 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.