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.
Original language | English |
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Article number | 4 |
Journal | Journal of High Energy Physics |
Volume | 2010 |
Issue number | 2 |
DOIs | |
State | Published - 2010 |
Keywords
- F-Theory
- Superstring vacua
- Superstrings and heterotic strings