Maths HEP Lunchtime Seminars: Solving N=1 SUSY gauge theories via Matrix Models
18 October 2002 00:00 in CM221
"It has been argued recently by Dijkgraaf and Vafa that superpotentials of N=1 supersymmetric gauge theories are computed by certain holomorphic matrix integrals. We demonstrate nontrivial tests of this proposal for $N=1$ theories obtained via relevant and marginal deformations of the N=4 theory where in fact the entire holomorphic sector of the theory is solved by the planar diagrams of the corresponding matrix models. Nonperturbative effects involving instantons and "fractional" instantons are captured via a perturbative expansion of the matrix model. As a bonus, independent evidence for SL(2, Z) invariance of the N=4 theory is recovered. "