Unoriented strings, loop equations, andsuperpotentials from matrix models
- 21 April 2003
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 67 (8)
- https://doi.org/10.1103/physrevd.67.086004
Abstract
We apply the proposal of Dijkgraaf and Vafa to analyze N=1 gauge theory with SO(N) and Sp(N) gauge groups with arbitrary tree-level superpotentials using matrix model techniques. We derive the planar and leading non-planar contributions to the large M SO(M) and Sp(M) matrix model free energy by applying the technology of higher-genus loop equations and by straightforward diagrammatics. The loop equations suggest that the RP^2 free energy is given as a derivative of the sphere contribution, a relation which we verify diagrammatically. With a refinement of the proposal of Dijkgraaf and Vafa for the effective superpotential, we find agreement with field theory expectations.Keywords
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