Comments on Quiver Gauge Theories and Matrix Models

Details Comments on Quiver Gauge Theories and Matrix Models Comments on Quiver Gauge Theories and Matrix Models

2002-12-06

arxiv.org/abs/hep-th/0212079v2

Nucl.Phys. B661 (2003) 257-272

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 4 figures, harvmac+epsf; typos corrected, figures improved and refs. added

Scientific paper

10.1016/S0550-3213(03)00296-7

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, ${\cal N}=1$ gauge theories and matrix models. By the use of this conjecture, we calculate the quantum deformations of Calabi-Yau threefolds with ADE singularities from ADE multi-matrix models. We obtain the effective superpotentials of the dual quiver gauge theories in terms of the geometric engineering for the deformed geometries. We find the Veneziano-Yankielowicz terms in the effective superpotentials.

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