F-theory and N = 1 Quivers from Polyvalent Geometry. (1st April 2016)

• Record Type: Journal Article
• Authors: Belhaj, Adil; Sedra, Moulay Brahim
• Is Part Of: Communications in theoretical physics. Volume 65:Number 4(2016:Apr.)
• Page Start: 492
• Page End: 498
• Publication Date: 2016-04-01
• Subjects: 11.25.Wx -- 11.25.Mj -- 02.40.Tt -- 02.40.Vh; F-theory -- D7-branes in type IIB superstring -- quiver gauge theories -- toric geometry; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/65/4/492
• Languages: English
• ISSNs: 0253-6102

Abstract

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.