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arXiv · 0910.2571

Extended Gauge Symmetries in F-theory

Kang-Sin Choi
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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.

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Kang-Sin Choi. 2009-10-14. Extended Gauge Symmetries in F-theory. https://doi.org/10.1007/jhep02(2010)004

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