Geometrically induced metastability and holography Original Research Article

We construct metastable configurations of branes and anti-branes wrapping 2-spheres inside local Calabi–Yau manifolds and study their large N duals. These duals are Calabi–Yau manifolds in which the wrapped 2-spheres have been replaced by 3-spheres with flux through them, and supersymmetry is spontaneously broken. The geometry of the non-supersymmetric vacuum is exactly calculable to all orders of the ʹt Hooft parameter, and to the leading order in image. The computation utilizes the same matrix model techniques that were used in the supersymmetric context. This provides a novel mechanism for breaking supersymmetry in the context of flux compactifications.