NSR singular vectors from Uglov polynomials

NSR singular vectors from Uglov polynomials

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 th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical physics 2022-06, Vol.63 (6)
Hauptverfasser: Bershtein, Mikhail, Vargulevich, Angelina
Format: Artikel
Sprache:eng
Schlagworte:
Mathematical analysis
Physics
Polynomials
Vectors (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0091666