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Constructing Gauge Theory Geometries from Matrix Models

A. Klemm·K. Landsteiner·C. I. Lazaroiu·I. Runkel
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Abstract

We use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N=1 U(N) gauge theory with adjoint and symmetric or anti-symmetric matter, broken by a tree level superpotential to a product subgroup involving U(N_i) and SO(N_i) or Sp(N_i/2) factors. The relevant geometry is encoded by a non-hyperelliptic Riemann surface, which we extract from the exact loop equations. We also show that O(1/N) corrections can be extracted from a logarithmic deformation of this surface. The loop equations contain explicitly subleading terms of order 1/N, which encode information of string theory on an orientifolded local quiver geometry.

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A. Klemm, K. Landsteiner, C. I. Lazaroiu, I. Runkel. 2003-03-04. Constructing Gauge Theory Geometries from Matrix Models. https://doi.org/10.1088/1126-6708%2F2003%2F05%2F066

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