F-theory and N=1 Quivers from Polyvalent Geometry
High Energy Physics - Theory
2016-08-03 v2
Abstract
We study four dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-K\"{a}hler 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.
Cite
@article{arxiv.1507.06241,
title = {F-theory and N=1 Quivers from Polyvalent Geometry},
author = {Adil Belhaj and Moulay Brahim Sedra},
journal= {arXiv preprint arXiv:1507.06241},
year = {2016}
}
Comments
Latex, 16 pages, 4 figures. Minor modifications. Accepted version in Communications in Theoretical Physics (CPT)