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 IR to U(N) N = 1 supersymmetric Yang-Mills with Chern Simons coupling k. Witten has shown that this field theory preserves supersymmetry if k ≥ N/2 and he conjectured that it breaks supersymmetry if k < N/2. We find a non-singular solution that describes the k = N/2 case, which is confining. We argue that increasing k corresponds to adding branes to this solution, in a way that preserves supersymmetry, while decreasing k corresponds to adding anti-branes, and therefore breaking supersymmetry.