Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models

Preprint

17 December 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0211291

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

All Related Versions

Version 1, 2002-11-29, ArXiv
Version 2, 2002-12-05, ArXiv
Version 3, 2002-12-17, ArXiv
Published version: Physical Review D, 67 (8).

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