## Advances in Theoretical and Mathematical Physics

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

### Decoupling gravity in F-theory

#### 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 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

**Source**

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

**Dates**

First available in Project Euclid: 11 June 2012

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1339374266

**Mathematical Reviews number (MathSciNet)**

MR2929687

**Zentralblatt MATH identifier**

1258.81083

#### Citation

Córdova, Clay. Decoupling gravity in F-theory. Adv. Theor. Math. Phys. 15 (2011), no. 3, 689--740. https://projecteuclid.org/euclid.atmp/1339374266