The supergravity dual of a theory with dynamical supersymmetry breaking

We study the large $N$ limit of a little string theory that reduces in the IRto U(N) ${\cal N} =1$ supersymmetric Yang-Mills with Chern Simons coupling $k$.Witten has shown that this field theory preserves supersymmetry if $k\geq N/2$and he conjectured that it breaks supersymmetry if $k< N/2$. We find anon-singular solution that describes the $k=N/2$ case, which is confining. Weargue that increasing $k$ corresponds to adding branes to this solution, in away that preserves supersymmetry, while decreasing $k$ corresponds to addinganti-branes, and therefore breaking supersymmetry.Comment: 17 pages, no figures, tex, references added, typos corrected, eq. 2.2 correcte