Toric Duality as Seiberg Duality and Brane Diamonds

Details Toric Duality as Seiberg Duality and Brane Diamonds Toric Duality as Seiberg Duality and Brane Diamonds

2001-09-07

arxiv.org/abs/hep-th/0109063v3

JHEP 0112:035,2001

Physics

High Energy Physics

High Energy Physics - Theory

33 pages and 15 figures; references added and some minor changes on the remarks on Picard-Lefschetz theory

Scientific paper

10.1088/1126-6708/2001/12/035

We use field theory and brane diamond techniques to demonstrate that Toric Duality is Seiberg duality for N=1 theories with toric moduli spaces. This resolves the puzzle concerning the physical meaning of Toric Duality as proposed in our earlier work. Furthermore, using this strong connection we arrive at three new phases which can not be thus far obtained by the so-called ``Inverse Algorithm'' applied to partial resolution of C^3/Z_3 x Z_3. The standing proposals of Seiberg duality as diamond duality in the work by Aganagic-Karch-L\"ust-Miemiec are strongly supported and new diamond configurations for these singularities are obtained as a byproduct. We also make some remarks about the relationships between Seiberg duality and Picard-Lefschetz monodromy.

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