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Singular vectors of $N=1$ super Virasoro algebra via Uglov symmetric functions

Quantum Algebra 2015-08-26 v1 Mathematical Physics math.MP

Abstract

We give a proof of the conjecture by Belavin, Bershtein and Tarnopolsky, which claims that a bosonization of singular vectors of N=1N=1 super Virasoro algebra can be identified with Uglov (Jack glp\mathfrak{gl}_p) symmetric functions with p=2p=2.

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Cite

@article{arxiv.1508.06036,
  title  = {Singular vectors of $N=1$ super Virasoro algebra via Uglov symmetric functions},
  author = {Shintarou Yanagida},
  journal= {arXiv preprint arXiv:1508.06036},
  year   = {2015}
}

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15 pages