Extended Gauge Symmetries in F-theory
arXiv:0910.2571 · doi:10.1007/JHEP02(2010)004
Abstract
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.
30 pages, published version
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- Non-simply-laced Lie algebras via F theory strings
- Weak Mixing Angle and Proton Stability in F-theory GUT
- Towards unity of families: anti-SU(7) from Z(12-I) orbifold compactification
- F-theory and the LHC: Stau Search
- E(lementary) Strings in Six-Dimensional Heterotic F-Theory
- What is the minimal supersymmetric Standard Model from F-theory?