Matrix models, topological strings, and supersymmetric gauge theories
Jun, 200221 pages
Published in:
- Nucl.Phys.B 644 (2002) 3-20
e-Print:
- hep-th/0206255 [hep-th]
Report number:
- HUTP-02-A028,
- ITFA-2002-22
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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.Note:
- 22 pages, minor corrections
- matrix model
- string model: topological
- gauge field theory
- supersymmetry
- space: Calabi-Yau
- field theory: conformal
- expansion 1/N
- scaling
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