  A three-vortex system on a plane is known to be minimally superintegrable in
the Liouville sense. In this work, integrable generalisations of the
three-vortex planar model, which involve root vectors of simple Lie algebras,
are proposed. It is shown that a generalised system, which is governed by a
positive definite Hamiltonian, admits a natural integrable extension by spin
degrees of freedom. It is emphasised that the n-vortex planar model and plenty
of its generalisations enjoy the nonrelativistic scale invariance, which gives
room for possible holographic applications.
