Abstract:
The orthosymplectic Lie superalgebra $\mathfrak{osp}(1|\,2\ell)$ is the closest superanalogue of standard Lie algebras. We demonstrate that the corresponding $\mathfrak{osp}(1|\,2\ell)$ Toda chain is an instance of the $BC_\ell$ Toda chain. The underlying reason for this relation is discussed.
Keywords:orthosymplectic Lie superalgebra, $BC$-type root system, quantum Toda chain.