Quivers, Tilings, Branes and Rhombi

Details Quivers, Tilings, Branes and Rhombi Quivers, Tilings, Branes and Rhombi

2005-11-06

arxiv.org/abs/hep-th/0511063v1

JHEP0710:029,2007

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 40 figures, JHEP3

Scientific paper

10.1088/1126-6708/2007/10/029

We describe a simple algorithm that computes the recently discovered brane tilings for a given generic toric singular Calabi-Yau threefold. This therefore gives AdS/CFT dual quiver gauge theories for D3-branes probing the given non-compact manifold. The algorithm solves a longstanding problem by computing superpotentials for these theories directly from the toric diagram of the singularity. We study the parameter space of a-maximization; this study is made possible by identifying the R-charges of bifundamental fields as angles in the brane tiling. We also study Seiberg duality from a new perspective.

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