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Perturbative analysis of gauged matrix models

Dijkgraaf, Robbert and Gukov, Sergei and Kazakov, Vladimir A. and Vafa, Cumrun (2003) Perturbative analysis of gauged matrix models. Physical Review D, 68 (4). Art. No. 045007. ISSN 0556-2821.

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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 [script 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 [script N] = 2 gauge theory, the Montonen-Olive modular invariance for [script N] = 1*, and the superpotential for the Leigh-Strassler deformation of [script 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).

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Additional Information:©2003 The American Physical Society. Received 5 May 2003; published 18 August 2003. We would like to thank M. Aganagic, R. Bousso, F. Cachazo, S. J. Gates, Jr., M. Marino, A. Marshakov, H. Ooguri, S. Theisen, and K. Zarembo for valuable discussions. The research of R.D. is partly supported by FOM and the CMPA grant of the University of Amsterdam. S.G. is supported by the Clay Mathematics Institute, RFBR grants 01-01-00549 and 02-01-06322. V.A.K. is partly supported by European Union under the RTN contracts HPRN-CT-2000-00122 and -00131. C.V. is partly supported by NSF grants PHY-9802709 and DMS-0074329. We would like to thank the Max Planck Institute in Potsdam (V.A.K.), Ecole Normale Superieure (S.G.), and Harvard University (R.D.) for kind hospitality during part of this work.
Funding AgencyGrant Number
Stichting voor Fundamenteel Onderzoek der Materie (FOM)UNSPECIFIED
University of AmsterdamUNSPECIFIED
Clay Mathematics InstituteUNSPECIFIED
Russian Foundation for Basic Research01-01-00549
Russian Foundation for Basic Research02-01-06322
European UnionHPRN-CT-2000-00122
European UnionHPRN-CT-2000-00131
Subject Keywords:M-theory; gauge field theory; spontaneous symmetry breaking; perturbation theory
Record Number:CaltechAUTHORS:DIJprd03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3766
Deposited By: Tony Diaz
Deposited On:10 Jul 2006
Last Modified:03 May 2016 16:42

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