A Geometric unification of dualities
Oct, 2001
94 pages
Published in:
- Nucl.Phys.B 628 (2002) 3-78
e-Print:
- hep-th/0110028 [hep-th]
Report number:
- HUTP-01-A045,
- WIS-19-01-DPP,
- UCSD-PTH-01-16,
- ILL-TH-01-9
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Abstract:
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.- 11.25.-w
- 11.25.Mj
- 11.15.Tk
- 11.30.Pb
- string model
- supersymmetry
- duality
- membrane model: D-brane
- space: Calabi-Yau
- geometry: algebra
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