Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions

Details Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions

1997-05-28

arxiv.org/abs/hep-th/9705220v1

Nucl.Phys.B504:147-174,1997

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, latex, 15 figures

Scientific paper

10.1016/S0550-3213(97)00529-4

We show how Higgs mechanism for non-abelian N=2 gauge theories in four dimensions is geometrically realized in the context of type II strings as transitions among compactifications of Calabi-Yau threefolds. We use this result and T-duality of a further compacitification on a circle to derive N=4, d=3 dual field theories. This reduces dualities for N=4 gauge systems in three dimensions to perturbative symmetries of string theory. Moreover we find that the dual of a gauge system always exists but may or may not correspond to a lagrangian system. In particular we verify a conjecture of Intriligator and Seiberg that an ordinary gauge system is dual to compactification of Exceptional tensionless string theory down to three dimensions.

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