Quivers, tilings, branes and rhombi

Nov, 2005
37 pages
Published in:
  • JHEP 10 (2007) 029
e-Print:
Report number:
  • MIT-CTP-3702

Citations per year

2005201020152020202405101520
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