Deformation of Dijkgraaf–Vafa relation via spontaneously broken image supersymmetry II Original Research Article

We consider the matter induced part of the effective superpotential of image, image gauge model in which image supersymmetry is spontaneously broken to image, by using the properties of the chiral ring and the generalized Konishi anomaly equations derived in our previous paper [H. Itoyama, K. Maruyoshi, Phys. Lett. B 650 (2007) 298, ]. It is shown that the effective superpotential is related to the planar free energy of the matrix model by a formula which consists of two parts—the well-known part due to Dijkgraaf–Vafa and the part that acts as a deformation of the couplings. These couplings are those of the original bare prepotential in the action and at the same time matrix model couplings.