On the geometry of matrix models for Script N = 1* | Zendy

Michela Petrini | Zendy; Alessandro Tomasiello | Zendy; Alberto Zaffaroni | Zendy

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On the geometry of matrix models for Script N = 1*

Author(s) -

Michela Petrini,

Alessandro Tomasiello,

Alberto Zaffaroni

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/08/004

Subject(s) - riemann surface , surface (topology) , geometry , matrix (chemical analysis) , mathematics , riemann hypothesis , geometric function theory , field (mathematics) , physics , pure mathematics , mathematical analysis , materials science , composite material

We investigate the geometry of the matrix model associated with an N=1 superYang-Mills theory with three adjoint fields, which is a massive deformation ofN=4. We study in particular the Riemann surface underlying solutions witharbitrary number of cuts. We show that an interesting geometrical structureemerges where the Riemann surface is related on-shell to the Donagi-Wittenspectral curve. We explicitly identify the quantum field theory resolvents interms of geometrical data on the surface.Comment: 17 pages, 2 figures. v2: reference adde

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