Toric duality as Seiberg duality and brane diamonds

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Published 9 January 2002 • Published under licence by IOP Publishing Ltd
, , Citation Bo Feng et al JHEP12(2001)035 DOI 10.1088/1126-6708/2001/12/035

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Author affiliations

1 Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

2 TH Division, CERN, CH-1211 Geneva 23, Switzerland

Dates

  1. Received 9 November 2001
  2. Accepted 30 December 2001
  3. Published

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1126-6708/2001/12/035

Abstract

We use field theory and brane diamond techniques to demonstrate that Toric Duality is Seiberg duality for Script 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 Bbb C3/(Bbb Z3 × Bbb Z3). The standing proposals of Seiberg duality as diamond duality in the work by Aganagic-Karch-Lüst-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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