2009/12/23 by Thomas W. Grimm, Sven Krause, Timo Weigand
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Calabi–Yau manifold #Compactification (mathematics) #Computer science #Contractible space #Embedding #F-theory #Fermion #Fibered knot #Hypercharge #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #String theory #Tadpole (physics) #Theoretical physics #Triviality #hep-th
paper · pdf · doi:10.1007/jhep07(2010)037
published as JHEP 1007:037,2010 · 22+12 pages; v2: minor clarifications on decoupling limit
arxiv created 2009/12/23 · openalex publication_date 2010/07/01 · arxiv updated 2014/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.