Open Access
June 2011 Decoupling gravity in F-theory
Clay Córdova
Adv. Theor. Math. Phys. 15(3): 689-740 (June 2011).


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 four-folds. 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 Córdova. "Decoupling gravity in F-theory." Adv. Theor. Math. Phys. 15 (3) 689 - 740, June 2011.


Published: June 2011
First available in Project Euclid: 11 June 2012

zbMATH: 1258.81083
MathSciNet: MR2929687

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 3 • June 2011
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