D-Brane Gauge Theories from Toric Singularities and Toric Duality

Details D-Brane Gauge Theories from Toric Singularities and Toric Duality D-Brane Gauge Theories from Toric Singularities and Toric Duality

2000-03-13

arxiv.org/abs/hep-th/0003085v2

Nucl.Phys.B595:165-200,2001

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 6 figures, 2 references added and 1 equation corrected

Scientific paper

10.1016/S0550-3213(00)00699-4

Via partial resolution of Abelian orbifolds we present an algorithm for extracting a consistent set of gauge theory data for an arbitrary toric variety whose singularity a D-brane probes. As illustrative examples, we tabulate the matter content and superpotential for a D-brane living on the toric del Pezzo surfaces as well as the zeroth Hirzebruch surface. Moreover, we discuss the non-uniqueness of the general problem and present examples of vastly different theories whose moduli spaces are described by the same toric data. Our methods provide new tools for calculating gauge theories which flow to the same universality class in the IR. We shall call it ``Toric Duality.''

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