On the Geometry of Matrix Models for N=1

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 stru...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 308
Main Authors Petrini, M., Tomasiello, A., Zaffaroni, A.
Format Journal Article
LanguageEnglish
Published Springer 01.08.2003
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Summary: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.
ISSN:1126-6708
1029-8479