  We investigate a relation between zeros of the partition function and
supersymmetry breaking, conjectured by Morita and Niarchos, for a family of
Chern-Simons-matter theories. We analyze the analytic structure of the free
energy in the large $N$ limit derived from the resolvent of the corresponding
matrix model. We find that a branch point exists at the value of the 't Hooft
coupling above which supersymmetry is known to be broken, confirming the
conjecture.
