It was conjectured by Belavin et al. [J. High Energy Phys. 2013(3), 35] that bosonization of a singular vector (in the Neveu-Schwarz sector) of the N=1 super analog of the Virasoro algebra can be identified with the Uglov symmetric function. In this paper, we prove this conjecture. We also extend this result to the Ramond sector of the N=1 super-Virasoro algebra.

NSR singular vectors from Uglov polynomials / Bershtein, M.; Vargulevich, A.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 63:6(2022). [10.1063/5.0091666]

NSR singular vectors from Uglov polynomials

Bershtein M.;
2022-01-01

Abstract

It was conjectured by Belavin et al. [J. High Energy Phys. 2013(3), 35] that bosonization of a singular vector (in the Neveu-Schwarz sector) of the N=1 super analog of the Virasoro algebra can be identified with the Uglov symmetric function. In this paper, we prove this conjecture. We also extend this result to the Ramond sector of the N=1 super-Virasoro algebra.
2022
63
6
061706
https://arxiv.org/abs/2202.11810
Bershtein, M.; Vargulevich, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/147059
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