On the Geometry of Matrix Models for N=1*

Details On the Geometry of Matrix Models for N=1* On the Geometry of Matrix Models for N=1*

2003-04-29

arxiv.org/abs/hep-th/0304251v2

JHEP 0308:004,2003

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 2 figures. v2: reference added

Scientific paper

10.1088/1126-6708/2003/08/004

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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