Decoupling Gravity in F-Theory

Details Decoupling Gravity in F-Theory Decoupling Gravity in F-Theory

2009-10-15

arxiv.org/abs/0910.2955v2

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 4 figures. References added. SU(7) Yukawa points formulae in Section 4 corrected

Scientific paper

We study seven-brane SU(5) GUT models of string phenomenology which can be consistently analyzed in a purely local framework. The requirement that gravity can decouple constrains the form of four-dimensional physics as well as the geometry of spacetime. We rule out a large family of candidate UV completions of such models and derive a priori constraints on the local singularities of compact elliptic Calabi-Yau fourfolds. These constraints are strong enough to obstruct a wide class of brane constructions from UV completion in string theory. It is demonstrated that consistent local models always have exotic Yukawa coupling structures, and hidden sectors or interesting non-perturbative superpotentials which merit further investigation.

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