We consider a large $N$, two-family Calogero and matrix model in the Hamiltonian, collective-field approach. The Bogomol’nyi limit appears and the solutions to the coupled Bogomol’nyi-Prasad-Sommerfeld equations are given by the static soliton configurations. We find all solutions close to constant and construct exact one-parameter solutions in the strong-weak dual case. Full classification of these solutions is presented.

• Received 19 August 2009

DOI:https://doi.org/10.1103/PhysRevD.80.085014