Geometry, D-branes and N=1 Duality in Four Dimensions with Product Gauge Group

Details Geometry, D-branes and N=1 Duality in Four Dimensions with Product Gauge Group Geometry, D-branes and N=1 Duality in Four Dimensions with Product Gauge Group

1997-05-14

arxiv.org/abs/hep-th/9705106v1

Phys.Lett. B413 (1997) 293-302

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, latex

Scientific paper

10.1016/S0370-2693(97)01124-6

We study N=1 dualities in four dimensional supersymmetric gauge theories by D 6-branes wrapping around 3-cycles of Calabi-Yau threefolds in the type IIA string theory. We consider the models involving $SU(N_{c1})\times SU(N_{c2})$ product gauge group without or with adjoint matter in terms of geometrical realisation of the configuration of D 6-branes wrapped 3-cycles. We also find simple geometric description for the triple product gauge group $SU(N_{c1})\times SU(N_{c2})\times SU(N_{c3})$ interpreted recently by Brodie and Hanany in the context of D brane configurations together with NS 5-branes. Their introduction of semi-infinite D 4-branes appears naturally by looking at the flavor group in the dual theory. We generalize to product of arbitrary number of gauge groups.

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