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Toric duality as Seiberg duality and brane diamonds

Bo Feng1, Amihay Hanany1, Yang-Hui He1 and Angel M. Uranga2

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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.


Keywords

Duality in Gauge Field Theories

Brane Dynamics in Gauge Theories

Conformal Field Models in String Theory

PACS

11.25.Tq Gauge/string duality

11.25.Uv D branes

11.25.Hf Conformal field theory, algebraic structures

11.15.-q Gauge field theories

Subjects

Particle physics and field theory

Dates

Issue 12 ( 1 December 2001)

Received 9 November 2001, accepted for publication 30 December 2001

Published 9 January 2002



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