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arXiv · 0910.2955

Decoupling Gravity in F-Theory

Clay Cordova
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Abstract

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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Clay Cordova. 2009-10-25. Decoupling Gravity in F-Theory. https://arxiv.org/abs/0910.2955

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