Approximate BPS states

We consider dimensionally reduced three-dimensional supersymmetric Yang– Mills-Chern–Simons theory. Although the N = 1 supersymmetry of this theory does not allow true massive Bogomol’nyi–Prasad–Sommerfield (BPS) states, we find approximate BPS states which have non-zero masses that are almost independent of the Yang–Mills coupling constant and which are a reflection of the massless BPS states of the underlying N = 1 super Yang–Mills theory. The masses of these states at large Yang–Mills coupling are exactly at the n -particle continuum thresholds. This leads to a relation between their masses at zero and large Yang–Mills coupling.