BPS Domain Walls in Supersymmetric QCD : Higher Unitary Groups

We consider the effective lagrangian describing the N = 1 supersymmetric QCD with SU(Nc) gauge group involving Nf = Nc − 1 pairs of chiral matter multiplets in fundamental and antifundamental color representations. For this theory in the framework of the effective lagrangian approach, we solve BPS equations for the domain walls interpolating between different vacua. The equations always have a unique solution for the walls interpolating between the chirally asymmetric and a chirally symmetric vacua. For the walls interpolating between different chirally asymmetric vacua, the equations admit two different solutions which exist in a limited range of the mass of the matter fields m < m∗ = κΛSQCD where the parameter κ depends on Nc. At m = m∗, two branches join together and, at m > m∗, no BPS – saturated complex domain walls exist.