  We show that the Lie potential on the minimal semisimple adjoint orbit
$\mathcal{O}_n$ of $\mathfrak{sl}(n+1,\mathbb{C})$ coincides with toric
potential on $T^*\mathbb P^{n}$. We then study the corresponding
Landau-Ginzburg models in deformation families and give some examples of how
the deformations affect the mirrors.
