Comments on quiver gauge theories and matrix models

Shigenori Seki
2003 Nuclear Physics B  
Dijkgraaf and Vafa have conjectured the correspondences between topological string theories, 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.
doi:10.1016/s0550-3213(03)00296-7 fatcat:qwtjw2yvgng2djeceayj5rimx4