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Published December 7, 1998 | Submitted
Journal Article Open

Three-dimensional N = 2 gauge theories and degenerations of Calabi-Yau four-folds

Abstract

Three-dimensional N = 2 gauge theories with arbitrary gauge group and fundamental flavors are engineered from degenerations of Calabi-Yau four-folds. We show how Coulomb and Higgs branches emerge in the geometric picture. The analysis of instanton generated superpotentials unravels interesting aspects of the five-brane effective action in M-theory.

Additional Information

© 1998 Elsevier B.V. We are very grateful to Cumrun Vafa and Edward Witten for collaboration and valuable suggestions and to Liviu Nicolaescu for mathematical assistance. We would also like to thank Ofer Aharony, Tom Banks, Jan de Boer, Michael Douglas, Rami Entin, Ori Ganor, Jaume Gomis, Brian Greene, Barak Kol, Wolfgang Lerche, Nathan Seiberg and Piljin Yi for very helpful discussions and correspondence. S.G also would like to thank Laboratoire de Physique Théorique et Hautes Energies where a part of this work was done, and especially L. Baulieu for kind hospitality and the support of the CNRS grant. The research of S. G. was supported in part by Merit Fellowship in Natural Sciences and Mathematics, grant RFBR-96-15-96939 and CNRS Foundation.

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