Comments on Quiver Gauge Theories and Matrix Models

Abstract

Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, $\mathcal{N}=1$ 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.

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

References in corpus (1)

• On Geometry and Matrix Models

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