Matrix models, topological strings, and supersymmetric gauge theories

被引:492
作者
Dijkgraaf, R
Vafa, C
机构
[1] Univ Amsterdam, Inst Theoret Phys, NL-1018 TV Amsterdam, Netherlands
[2] Univ Amsterdam, Korteweg de Vries Inst Math, NL-1018 TV Amsterdam, Netherlands
[3] Harvard Univ, Jefferson Phys Lab, Cambridge, MA 02138 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(02)00766-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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 11 superstrings on Calabi-Yatt backgrounds. (C) 2002 Published by Elsevier Science B.V.
引用
收藏
页码:3 / 20
页数:18
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