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arXiv · hep-th/0511063

Quivers, Tilings, Branes and Rhombi

Amihay Hanany·David Vegh
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Abstract

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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Amihay Hanany, David Vegh. 2005-11-06. Quivers, Tilings, Branes and Rhombi. https://doi.org/10.1088/1126-6708%2F2007%2F10%2F029

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