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

2015/08/25 by Shintarou Yanagida, Yanagida, Shintarou · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.1508.06036

15 pages

arxiv created 2015/08/25 · arxiv updated 2015/08/26

Abstract

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

Cited by

• Direct Sum Structure of the Super Virasoro Algebra and a Fermion Algebra Arising from the Quantum Toroidal \mathfrakgl₂

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