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dc.contributor.authorDijkgraaf, Robbert
dc.contributor.authorVafa, Cumrun
dc.date.accessioned2019-09-22T18:36:41Z
dc.date.issued2002
dc.identifier.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.
dc.identifier.issn0169-6823
dc.identifier.issn0550-3213
dc.identifier.issn1873-1562
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:41385087*
dc.description.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.
dc.language.isoen_US
dc.publisherElsevier
dash.licenseLAA
dc.titleOn geometry and matrix models
dc.typeJournal Article
dc.description.versionAccepted Manuscript
dc.relation.journalNuclear Physics, B
dash.depositing.authorVafa, C.::4e237a95963132b39101a21b3da5ddb2::600
dc.date.available2019-09-22T18:36:41Z
dash.workflow.comments1Science Serial ID 69912
dc.identifier.doi10.1016/S0550-3213(02)00764-2
dash.source.volume644;43102
dash.source.page21-39


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