Sangam: A Confluence of Knowledge Streams

Perturbative analysis of gauged matrix models

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dc.creator Dijkgraaf, Robbert
dc.creator Gukov, Sergei
dc.creator Kazakov, Vladimir A.
dc.creator Vafa, Cumrun
dc.date 2019-09-22T18:36:58Z
dc.date 2003
dc.date 2019-09-22T18:36:58Z
dc.date.accessioned 2022-05-18T11:04:18Z
dc.date.available 2022-05-18T11:04:18Z
dc.identifier Dijkgraaf, Robbert, Sergei Gukov, Vladimir A. Kazakov, and Cumrun Vafa. 2003. “Perturbative Analysis of Gauged Matrix Models.” Physical Review D 68 (4). https://doi.org/10.1103/physrevd.68.045007.
dc.identifier 0556-2821
dc.identifier 1089-4918
dc.identifier http://nrs.harvard.edu/urn-3:HUL.InstRepos:41385096
dc.identifier 10.1103/PhysRevD.68.045007
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/26632
dc.description We analyze perturbative aspects of gauged matrix models, including those where classically the gauge symmetry is partially broken. Ghost fields play a crucial role in the Feynman rules for these vacua. We use this formalism to elucidate the fact that nonperturbative aspects of N=1 gauge theories can be computed systematically using perturbative techniques of matrix models, even if we do not possess an exact solution for the matrix model. As examples we show how the Seiberg-Witten solution for N=2 gauge theory, the Montonen-Olive modular invariance for N=1(*), and the superpotential for the Leigh-Strassler deformation of N=4 can be systematically computed in perturbation theory of the matrix model or gauge theory (even though in some of these cases an exact answer can also be obtained by summing up planar diagrams of matrix models).
dc.description Accepted Manuscript
dc.format application/pdf
dc.language en_US
dc.publisher American Physical Society
dc.relation Physical Review D - Particles and Fields
dc.title Perturbative analysis of gauged matrix models
dc.type Journal Article


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