NSR singular vectors from Uglov polynomials

Autor: Bershtein, Mikhail, Vargulevich, Angelina
Rok vydání: 2022
Předmět:
Zdroj: J. Math. Phys. 63, 061706 (2022)
Druh dokumentu: Working Paper
DOI: 10.1063/5.0091666
Popis: It was conjectured in arXiv:1211.2788 that bosonization of singular vectors (in Neveu-Schwarz sector) of $\mathcal{N}=1$ 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 $\mathcal{N}=1$ super-Virasoro algebra.
Comment: 17 pages v2: many minor corrections
Databáze: arXiv