Author
Franco, S
Hanany, A
Martelli, D
Sparks, J
Vegh, D
Wecht, B
Journal title
Journal of High Energy Physics
DOI
10.1088/1126-6708/2006/01/128
Issue
1
Last updated
2024-02-17T08:16:27.003+00:00
Page
3295-3334
Abstract
We provide a general set of rules for extracting the data defining a quiver gauge theory from a given toric Calabi-Yau singularity. Our method combines information from the geometry and topology of Sasaki-Einstein manifolds, AdS/CFT, dimers, and brane tilings. We explain how the field content, quantum numbers, and superpotential of a superconformal gauge theory on D3-branes probing a toric Calabi-Yau singularity can be deduced. The infinite family of toric singularities with known horizon Sasaki-Einstein manifolds L a,b,c is used to illustrate these ideas. We construct the corresponding quiver gauge theories, which may be fully specified by giving a tiling of the plane by hexagons with certain gluing rules. As checks of this construction, we perform a-maximisation as well as Z-minimisation to compute the exact R-charges of an arbitrary such quiver. We also examine a number of examples in detail, including the infinite subfamily La,b,a, whose smallest member is the Suspended Pinch Point. © SISSA 2006.
Symplectic ID
12521
Favourite
On
Publication type
Journal Article
Publication date
10 Apr 2006
Please contact us with feedback and comments about this page. Created on 16 Sep 2008 - 01:00.