Matrix models, topological strings, and supersymmetric gauge theories
Abstract
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.
- Publication:
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Nuclear Physics B
- Pub Date:
- November 2002
- DOI:
- 10.1016/S0550-3213(02)00766-6
- arXiv:
- arXiv:hep-th/0206255
- Bibcode:
- 2002NuPhB.644....3D
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 22 pages, minor corrections