English

NSR singular vectors from Uglov polynomials

Mathematical Physics 2022-06-22 v2 High Energy Physics - Theory math.MP Operator Algebras Quantum Algebra

Abstract

It was conjectured in arXiv:1211.2788 that bosonization of singular vectors (in Neveu-Schwarz sector) of N=1\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 N=1\mathcal{N}=1 super-Virasoro algebra.

Cite

@article{arxiv.2202.11810,
  title  = {NSR singular vectors from Uglov polynomials},
  author = {Mikhail Bershtein and Angelina Vargulevich},
  journal= {arXiv preprint arXiv:2202.11810},
  year   = {2022}
}

Comments

17 pages v2: many minor corrections

R2 v1 2026-06-24T09:51:55.668Z