Regularized Master-Field Approximation for Mass-Deformed Supersymmetric Yang-Mills Matrix Models

Abstract

The regularized master-field approximation (RMA) is an efficient computational method for large-$N$ reduced matrix models, including those with multiple matrices or complex integration weights. In this work, we apply the RMA to mass-deformed supersymmetric Yang--Mills-type matrix models with three, four, and ten matrices. All three models admit fuzzy-sphere configurations as classical solutions. We show that the RMA quantitatively reproduces these fuzzy-sphere solutions and their breakdown, and that zero modes of the Dirac operator can destabilize fuzzy-sphere configurations in certain cases.