A Geometric Unification of Dualities

dc.creatorCachazo, F.
dc.creatorFiol, B.
dc.creatorIntriligator, K.
dc.creatorKatz, S.
dc.creatorVafa, C.
dc.date2001-10-02
dc.date2002-01-19
dc.date.accessioned2026-07-07T12:03:37Z
dc.date.available2026-07-07T12:03:37Z
dc.descriptionWe 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.
dc.description94 pages, 18 figures. Added reference
dc.identifierhttps://arxiv.org/abs/hep-th/0110028
dc.identifierhttp://arxiv.org/abs/hep-th/0110028
dc.identifierNucl.Phys.B628:3-78,2002
dc.identifierdoi:10.1016/S0550-3213(02)00078-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207849
dc.subjectHigh Energy Physics - Theory
dc.titleA Geometric Unification of Dualities
dc.typetext

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