Geometry of N=1 Dualities in Four Dimensions

Details Geometry of N=1 Dualities in Four Dimensions Geometry of N=1 Dualities in Four Dimensions

1997-02-26

arxiv.org/abs/hep-th/9702180v2

Nucl.Phys.B500:62-74,1997

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, harvmac

Scientific paper

10.1016/S0550-3213(97)00304-0

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.

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