On the Geometry of Matrix Models for N=1*

Abstract

We investigate the geometry of the matrix model associated with an N=1 super Yang-Mills theory with three adjoint fields, which is a massive deformation of N=4. We study in particular the Riemann surface underlying solutions with arbitrary number of cuts. We show that an interesting geometrical structure emerges where the Riemann surface is related on-shell to the Donagi-Witten spectral curve. We explicitly identify the quantum field theory resolvents in terms of geometrical data on the surface.

17 pages, 2 figures. v2: reference added

References in corpus (7)

• Chiral Rings and Anomalies in Supersymmetric Gauge Theory
• Phases of N=1 Supersymmetric Gauge Theories and Matrices
• Chiral Rings and Phases of Supersymmetric Gauge Theories
• Exact Superpotentials from Matrix Models
• Massive Vacua of N=1* Theory and S-duality from Matrix Models
• $\mathcal{N}=1$ Theories and a Geometric Master Field
• Solving matrix models using holomorphy

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• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems