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.
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. © SISSA/ISAS 2003.
Petrini, M., Tomasiello, A., Zaffaroni, A. (2003). On the geometry of matrix models for N = 1. JOURNAL OF HIGH ENERGY PHYSICS, 7(8), 89-105.
On the geometry of matrix models for N = 1
TOMASIELLO, ALESSANDRO;ZAFFARONI, ALBERTO
2003
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. © SISSA/ISAS 2003.
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