On quantum $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\mathrm{\mid }2\mathrm{\ell })$-Toda chain

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