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Toric duality as Seiberg duality and brane diamonds

Feng, B., Hanany, A., He, Y. & Uranga, A. M. (2001). Toric duality as Seiberg duality and brane diamonds. Journal of High Energy Physics, 2001(035), doi: 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.

Publication Type: Article
Additional Information: The original publication is available at archiveprefix: arXiv primaryclass: hep-th
Publisher Keywords: duality in gauge field theories, Brane dynamics in gauge theories, conformal field models in string theory
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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