Perturbative analysis of gauged matrix models

Robbert Dijkgraaf, Sergei Gukov, Vladimir A. Kazakov, Cumrun Vafa
2003 Physical Review D, Particles and fields  
We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman rules for these vacua. We use this formalism to elucidate the fact that non-perturbative aspects of N=1 gauge theories can be computed systematically using perturbative techniques of matrix models, even if we do not possess an exact solution for the matrix model. As examples we show how the Seiberg-Witten solution for
more » ... =2 gauge theory, the Montonen-Olive modular invariance for N=1*, and the superpotential for the Leigh-Strassler deformation of N=4 can be systematically computed in perturbation theory of the matrix model/gauge theory (even though in some of these cases the exact answer can also be obtained by summing up planar diagrams of matrix models).
doi:10.1103/physrevd.68.045007 fatcat:ei2dx4otl5dovau7t2jckv7uqm