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.

Petrini, M., Tomasiello, A., Zaffaroni, A. (2003). On the geometry of matrix models for N=1*. JOURNAL OF HIGH ENERGY PHYSICS, 2003-08(08), 004.

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.
Articolo in rivista - Articolo scientifico
confinement; duality in gauge field theories; brane dynamics in gauge theories; matrix models
English
2003
2003-08
08
004
none
Petrini, M., Tomasiello, A., Zaffaroni, A. (2003). On the geometry of matrix models for N=1*. JOURNAL OF HIGH ENERGY PHYSICS, 2003-08(08), 004.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/1152
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