Matrix models, topological strings, and supersymmetric gauge theories

Jun, 2002
21 pages
Published in:
  • Nucl.Phys.B 644 (2002) 3-20
e-Print:
Report number:
  • HUTP-02-A028,
  • ITFA-2002-22

Citations per year

20022008201420202024020406080100
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