Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-10-02
Nucl.Phys.B628:3-78,2002
Physics
High Energy Physics
High Energy Physics - Theory
94 pages, 18 figures. Added reference
Scientific paper
10.1016/S0550-3213(02)00078-0
We study the dynamics of a large class of N=1 quiver theories, geometrically realized by type IIB D-brane probes wrapping cycles of local Calabi-Yau threefolds. These include N=2 (affine) A-D-E quiver theories deformed by superpotential terms, as well as chiral N=1 quiver theories obtained in the presence of vanishing 4-cycles inside a Calabi-Yau. We consider the various possible geometric transitions of the 3-fold and show that they correspond to Seiberg-like dualities (represented by Weyl reflections in the A-D-E case or `mutations' of bundles in the case of vanishing 4-cycles) or large N dualities involving gaugino condensates (generalized conifold transitions). Also duality cascades are naturally realized in these classes of theories, and are related to the affine Weyl group symmetry in the A-D-E case.
Cachazo Freddy
Fiol Bartomeu
Intriligator Ken
Katz Samuel
Vafa Cumrun
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