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We argue that in the paper we comment on the authors failed to prove that all known solutions of the Bogomol'nyi-Prasad-Sommerfield sector of duality-based Calogero model are indeed all solutions.

Using the large-N conformal invariant collective field formulation, of the dual matrix model, a strong-weak coupling duality is displayed in terms of the generators of the conformal group. In the large-N limit, the real-symmetric matrix model is dual to the quaternionic-real matrix model and the hermitian matrix model is self-dual. We construct the master Hamiltonian for dual real-symmetric and quaternionic-real matrices and discuss a connection with the hermitian matrix model.

Using the large-N conformal invariant collective field formulation, of the dual matrix model, a strong-weak coupling duality is displayed in terms of the generators of the conformal group. In the large-N limit, the real-symmetric matrix model is dual to the quaternionic-real matrix model and the hermitian matrix model is self-dual. We construct the master Hamiltonian for dual real-symmetric and quaternionic-real matrices and discuss a connection with the hermitian matrix model.

The many-body system with the potential proportional to the pairwise inverse-square distance possesses a strong-weak coupling duality. Based on this duality, particle and/or quasiparticle states are described as SU(1,1) coherent states. The constructed quasiparticle states are of hierarchical nature.

The quantum-mechanical system with the potential proportional to the pair-wise inverse-square distance possesses a strong-weak coupling duality. Based on this duality, paricle and/or hole states are described as SU(1,1) coherent states.