F-theory GUT vacua on compact Calabi-Yau fourfolds

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作者
Thomas W. Grimm
Sven Krause
Timo Weigand
机构
[1] Bethe Center for Theoretical Physics,Institute for Theoretical Physics
[2] University of Heidelberg,undefined
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F-Theory; Intersecting branes models;
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摘要
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.
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