Advances in Theoretical and Mathematical Physics

Decoupling gravity in F-theory

Clay Córdova

Full-text: Open access


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.

Article information

Adv. Theor. Math. Phys., Volume 15, Number 3 (2011), 689-740.

First available in Project Euclid: 11 June 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Córdova, Clay. Decoupling gravity in F-theory. Adv. Theor. Math. Phys. 15 (2011), no. 3, 689--740.

Export citation