On geometry and matrix models
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CitationDijkgraaf, Robbert, and Cumrun Vafa. 2002. “On Geometry and Matrix Models.” Nuclear Physics B 644 (1–2): 21–39. https://doi.org/10.1016/s0550-3213(02)00764-2.
AbstractWe point out two extensions of the relation between matrix models, topological strings and N = 1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large-N duals of the local Calabi-Yau geometries that engineer N = 2 gauge theories. In particular, a double scaling limit of the Gross-Witten one-plaquette lattice model gives the SU(2) Seiberg-Witten solution, including its induced gravitational corrections. Secondly, we point out that the effective superpotential terms for Ar = I A DE quiver gauge theories is similarly computed by large-N multi-matrix models, that have been considered in the context of A D E minimal models on random surfaces. The associated spectral curves are multiple branched covers obtained as Virasoro and W-constraints of the partition function.
Citable link to this pagehttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41385087
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