Constructing Gauge Theory Geometries from Matrix Models

Details Constructing Gauge Theory Geometries from Matrix Models Constructing Gauge Theory Geometries from Matrix Models

2003-03-04

arxiv.org/abs/hep-th/0303032v1

JHEP 0305:066,2003

Physics

High Energy Physics

High Energy Physics - Theory

52 pages

Scientific paper

10.1088/1126-6708/2003/05/066

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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