Matrix models, topological strings, and supersymmetric gauge theories

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 year

  2002

• Venue

  Nuclear Physics

• Publication date

  2002-06-28

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/S0550-3213(02)00766-6arXiv hep-th/0206255
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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