Matrix Models, Topological Strings, and Supersymmetric Gauge Theories

Details Matrix Models, Topological Strings, and Supersymmetric Gauge Theories Matrix Models, Topological Strings, and Supersymmetric Gauge Theories

2002-06-28

arxiv.org/abs/hep-th/0206255v2

Nucl.Phys. B644 (2002) 3-20

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, minor corrections

Scientific paper

10.1016/S0550-3213(02)00766-6

We show that B-model topological strings on local Calabi-Yau threefolds are large N duals of matrix models, which in the planar limit naturally give rise to special geometry. These matrix models directly compute F-terms in an associated N=1 supersymmetric gauge theory, obtained by deforming N=2 theories by a superpotential term that can be directly identified with the potential of the matrix model. Moreover by tuning some of the parameters of the geometry in a double scaling limit we recover (p,q) conformal minimal models coupled to 2d gravity, thereby relating non-critical string theories to type II superstrings on Calabi-Yau backgrounds.

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