BPS and non-BPS domain walls in supersymmetric QCD

We study the spectrum of the domain walls interpolating between different chirally asymmetric vacua in supersymmetric QCD with the SU(N) gauge group and including N-1 pairs of chiral matter multiplets in fundamental and anti-fundamental representations. There are always “real walls” interpolating between the chirally symmetric and a chirally asymmetric vacua which are BPS saturated. For small enough masses, there are two different “complex” BPS wall solutions interpolating between different chirally asymmetric vacua and two types of “wallsome sphalerons”. At some m = m_, two BPS branches join together and, in some interval m_ < m < m_{}, BPS equations have no solutions, but there are solutions to the equations of motion describing a non–BPS domain wall and a sphaleron. For m > m_{}, there are no complex wall solutions whatsoever.