A geometric unification of dualities

F. Cachazo, B. Fiol, K. Intriligator, S. Katz, C. Vafa

Research output: Contribution to journalArticlepeer-review


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 three-folds. 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 Wey1 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 Wey1 group symmetry in the A-D-E case.

Original languageEnglish (US)
Pages (from-to)3-78
Number of pages76
JournalNuclear Physics B
Issue number1-2
StatePublished - Apr 29 2002

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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