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arxiv: hep-th/0304251 · v2 · pith:W4RH65UCnew · submitted 2003-04-29 · ✦ hep-th

On the Geometry of Matrix Models for N=1*

classification ✦ hep-th
keywords surfacegeometricalgeometrymatrixriemanntheoryadjointarbitrary
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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.

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