Extended Gauge Symmetries in F-theory

Details Extended Gauge Symmetries in F-theory Extended Gauge Symmetries in F-theory

2009-10-14

arxiv.org/abs/0910.2571v3

JHEP 1002:004,2010

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, published version

Scientific paper

10.1007/JHEP02(2010)004

We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the discriminant, analogous to arranging 7-branes, we can derive the matter contents, their localization and the relation to enhanced groups. Global constraints coming from Calabi--Yau conditions and anomaly cancellations imply a unified group. The semisiple group shows explicit formation of matter curves and nontriviality of its embedding into exceptional group. Also the dual heterotic string vacua with line bundles provide a guide on the unification.

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