F-theory and N=1 Quivers from Polyvalent Geometry
arXiv:1507.06241 · doi:10.1088/0253-6102/65/4/492
Abstract
We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-Kähler structure. Using intersecting complex toric surfaces, we derive a class of N=1 quivers with charged fundamental matter placed on external nodes. The emphasis is on how local Calabi-Yau equations solve the corresponding physical constraints including the anomaly cancelation condition. Concretely, a linear chain of SU(N) groups with flavor symmetries has been constructed using polyvalent toric geometry.
Latex, 16 pages, 4 figures. Minor modifications. Accepted version in Communications in Theoretical Physics (CPT)