F-theory GUT vacua on compact Calabi-Yau fourfolds

• DOI: 10.1007/jhep07(2010)037
• Publication Date: 2010-07-12T20:56:15Z
• Authors: Thomas W. Grimm; Sven Krause; Timo Weigand
• Keywords: Calabi–Yau manifold; F-theory; Tadpole (physics); Hypercharge; Contractible space; Compactification (mathematics); Triviality

22+12 pages; v2: minor clarifications on decoupling limit<br/>We present compact three-generation F-theory GUT models meeting in particular the constraints of D3-tadpole cancellation and D-term supersymmetry. To this end we explicitly construct elliptically fibered Calabi-Yau fourfolds as complete intersections in a toric ambient space. Toric methods enable us to control the singular geometry of the SU(5) GUT model. The GUT brane wraps a non-generic del Pezzo surface admitting GUT symmetry breaking via hypercharge flux. It is contractible to a curve and we demonstrate the existence of a consistent decoupling limit. We compute the Euler characteristic of the singular Calabi-Yau fourfold to show that our three-generation flux solutions obtained via the spectral cover construction are consistent with D3-tadpole cancellation.<br/>