Quivers, tilings, branes and rhombi
Nov, 200537 pages
Published in:
- JHEP 10 (2007) 029
e-Print:
- hep-th/0511063 [hep-th]
Report number:
- MIT-CTP-3702
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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.- space: Calabi-Yau
- space-time: anti-de Sitter
- field theory: conformal
- supersymmetry
- R parity
- T-duality
- S-duality
- geometry: algebra
- gauge field theory: quiver
- membrane model
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