Mirror Symmetries for Brane Configurations and Branes at Singularities

Details Mirror Symmetries for Brane Configurations and Branes at Singularities Mirror Symmetries for Brane Configurations and Branes at Singularities

1999-03-11

arxiv.org/abs/hep-th/9903093v2

Nucl.Phys.B569:277-302,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 36 pages; typos corrected and 3 references added

Scientific paper

10.1016/S0550-3213(99)00608-2

We study local mirror symmetry on non-compact Calabi-Yau manifolds (conifold type of singularities) in the presence of D3 brane probes. Using an intermediate brane setup of NS 5-branes `probed' by D4 resp. D5 branes, we can explicitly T-dualize three isometry directions to relate a non-compact Calabi-Yau manifold to its local mirror. The intermediate brane setup is the one that is best suited to read off the gauge theory on the probe. Both intervals and boxes of NS 5-branes appear as brane setups. Going from one to the other is equivalent to performing a conifold transition in the dual geometry. One result of our investigation is that the brane box rules as they have been discussed so far should be generalized. Our new rules do not need diagonal fields localized at the intersection. The old rules reappear on baryonic branches of the theory.

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