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Published September 1, 1997 | Submitted
Journal Article Open

Geometry of N = 1 dualities in four dimensions

Abstract

We discuss how N = 1 dualities in four dimensions are geometrically realized by wrapping D-branes about 3-cycles of Calabi-Yau threefolds. In this setup the N = 1 dualities for SU, SO and USp gauge groups with fundamental fields get mapped to statements about the monodromy and relations among 3-cycles of Calabi-Yau threefolds. The connection between the theory and its dual requires passing through configurations which are T-dual to the well-known phenomenon of decay of BPS states in N = 2 field theories in four dimensions. We compare our approach to recent works based on configurations of D-branes in the presence of NS 5-branes and give simple classical geometric derivations of various exotic dynamics involving D-branes ending on NS branes.

Additional Information

© 1997 Elsevier. Received 5 March 1997, Accepted 28 April 1997. We thank O. Aharony, M. Douglas, K. Hori, P. Mayr, Y. Oz, N. Seiberg, M. Strassler and S.-T. Yau for valuable discussions. In addition we wish to thank Physics Department of Rutgers University for the hospitality. The work of H.O. is supported in part by NSF grant PHY-951497 and DOE grant DE-AC03-76SF00098. The work of C.V. is supported in part by NSF grant PHY-92-18167.

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