On quantum $\mathfrak{osp}(1|2\ell )$-Toda chain

Abstract

The orthosymplectic super Lie algebra $\mathfrak{osp}(1|2\ell )$ is the closest analog of standard Lie algebras in the world of super Lie algebras. We demonstrate that the corresponding $\mathfrak{osp}(1|2\ell )$-Toda chain turns out to be an instance of a $B{C}_{\ell }$-Toda chain. The underlying reason for this relation is discussed.

17 pages