Phase Structure of D-brane Gauge Theories and Toric Duality

Details Phase Structure of D-brane Gauge Theories and Toric Duality Phase Structure of D-brane Gauge Theories and Toric Duality

2001-04-30

arxiv.org/abs/hep-th/0104259v3

JHEP 0108:040,2001

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 7 figures. We are grateful to Angel Uranga for crucial Comments to a preliminary version of the draft

Scientific paper

10.1088/1126-6708/2001/08/040

Harnessing the unimodular degree of freedom in the definition of any toric diagram, we present a method of constructing inequivalent gauge theories which are world-volume theories of D-branes probing the same toric singularity. These theories are various phases in partial resolution of Abelian orbifolds. As examples, two phases are constructed for both the zeroth Hirzebruch and the second del Pezzo surfaces. We show that such a phenomenon is a special case of ``Toric Duality'' proposed in hep-th/0003085. Furthermore, we investigate the general conditions that distinguish these different gauge theories with the same (toric) moduli space.

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